Answer:
24x-48y
hope this helps
have a good day :)
Step-by-step explanation:
Step-by-step explanation:
−12(−2x+4y) = 24x - 48y
______
ANSWER PLEASE *50 POINTS*
A football player runs 5/6 of a mile every 3/4 of an hour how much does he run in one hour?
If a football player runs 5/6 of a mile every 3/4th of a hour, that means every 1/4th a hour he runs 1.5/6th of a mile.
That means every 15 minutes the football player runs .2 of a mile. That means that every hour he runs :
0.8 of a mile!
If one person is selected
from the population
described in the table,
find the probability that
the person is married or
has never married.
Answer:
about .84
Step-by-step explanation:
I got about .84 because I added the total number of people married and the total number of people never married. 123+70=193. I then found the probability of 193 over the total number of people in the population. 193/231= .83549784
This decimal estimated is about .84.
The probability that the person is married or has never married is about .84.
Ethan decides to type up some documents while waiting the meeting to start.He can type 2 pages every 1/8 hour.If the meeting started 3/4 hour later than the scheduled time,how many pages can he type before the meeting starts?
Answer: 4 pages
Step-by-step explanation:
To solve this problem, we need to use the formula:
Rate = Output/Time
Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.
Rate = 2 pages/(1/8 hour) = 16 pages/hour
Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.
Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages
Therefore, Ethan can type 4 pages before the meeting starts.
Answer: 4 pages
Please solve the system of equations!!
\( \bf \dagger \: To \: find\)
\( \\ \\ \)
Value of xValue of y\( \\ \\ \)
\( \bf \dagger \: Given\)
\( \\ \\ \)
x = y - 4 - 10 x + 3y = 5\( \\ \\ \)
\( \bf \dagger \: Solution\)
\( \\ \\ \)
\( \dashrightarrow \sf - 10 x + 3y = 5\)
Put value of x I.e y - 4 in the equation
\( \\ \\ \)
\( \dashrightarrow \sf - 10(y - 4) + 3y = 5\)
\( \\ \\ \)
\( \dashrightarrow \sf - 10y + 40 + 3y = 5\)
\( \\ \\ \)
\( \dashrightarrow \sf - 10y+ 3y + 40 = 5\)
\( \\ \\ \)
\( \dashrightarrow \sf -7y + 40 = 5\)
\( \\ \\ \)
\( \dashrightarrow \sf -7y = 5 - 40\)
\( \\ \\ \)
\( \dashrightarrow \sf -7y = - 35\)
\( \\ \\ \)
\( \dashrightarrow \sf \cancel-7y = \cancel - 35\)
\( \\ \\ \)
\( \dashrightarrow \sf 7y = 35\)
\( \\ \\ \)
\( \dashrightarrow \sf y = \dfrac{35}{7} \)
\( \\ \\ \)
\( \dashrightarrow \boxed{\sf y = 5} \star\)
\( \\ \\ \)
Now Let's find value of x.
\( \\ \\ \)
Put value of y I equation: x = y -4
\( \\ \\ \)
\( \dashrightarrow \sf x = y - 4\)
\( \\ \\ \)
\( \dashrightarrow \sf x = 5 - 4\)
\( \\ \\ \)
\( \dashrightarrow \boxed{\sf \: x = 1} \star\)
\( \\ \\ \)
.°. value of x and y = 1 and 5 respectively
-5(3u + 1) + 10u
please helpoo
This is just a guess from doing the math, but I think the answer is -1u. Sorry if its wrong
Answer:
-5(u+1)
Step-by-step explanation:
hopefully the answer helps
Suppose a sample of a certain substance decayed to 69.4% of its original amount after 300 days. (Round your answers to two decimal places.) (a) What is the half-life (in days) of this substance
Answer:
The half-life of this substance is of 569.27 days.
Step-by-step explanation:
Amount of a substance after t days:
The amount of a substance after t days is given by:
\(P(t) = P(0)e^{-kt}\)
In which P(0) is the initial amount and k is the decay rate, as a decimal.
Suppose a sample of a certain substance decayed to 69.4% of its original amount after 300 days.
This means that \(P(300) = 0.694P(0)\). We use this to find k.
\(P(t) = P(0)e^{-kt}\)
\(0.694 = P(0)e^{-300k}\)
\(e^{-300k} = 0.694\)
\(\ln{e^{-300k}} = \ln{0.694}\)
\(-300k = \ln{0.694}\)
\(k = -\frac{\ln{0.694}}{300}\)
\(k = 0.0012\)
So
\(P(t) = P(0)e^{-0.0012t}\)
What is the half-life (in days) of this substance?
This is t for which P(t) = 0.5P(0). So
\(0.5P(0) = P(0)e^{-0.0012t}\)
\(e^{-0.0012t} = 0.5\)
\(\ln{e^{-0.0012t}} = \ln{0.5}\)
\(-0.0012t = \ln{0.5}\)
\(t = -\frac{\ln{0.5}}{0.0012}\)
\(t = 569.27\)
The half-life of this substance is of 569.27 days.
PLEASE ANSWER - PLEASE ANSWER
The diagram shows triangle ABC. ABC and BED are straight lines. AB = 12.2cm, CD = 5.8cm, BE:ED = 3:1, Angle ADB = 90°, Angle ABD = 38°.
Work out the size of angle DCE, correct to 1 decimal place. SHOW ALL WORKING IN TEXT FORM, NO IMAGES.
The measure of angle DCE in this problem is given as follows:
m < DCE = 22.5º.
How to obtain the measure of angle DCE?The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.
The three trigonometric ratios are given as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:
cos(38º) = DB/12.2
DB = 12.2 x cosine of 38 degrees
DB = 9.6 cm.
BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:
DE = 1/4 x 9.6
DE = 2.4 cm.
Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:
tan(x) = 2.4/5.8
x = arctan(2.4/5.8)
x = 22.5º
m < DCE = 22.5º.
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Answer:
x = 22.5°
Step-by-step explanation:
BD = cos(38)*12.2 = 9.61DE = 9.61*¼ = 2.4∠DCE = tan(2.4/5.8) = 22.5°On a map, 1 cm = 5 km. The distance between the shopping mall and the movie theater measures 6.7 cm. What is the actual distance between the mall and movie theater?
Answer:
33.5 km
Step-by-step explanation:
If 1cm = 5km, then you multiply 6.7 by 5 to get distance, which would be 33.5 km.
(hope this helps :P)
Answer:
33.5 km
Step-by-step explanation:
1/5 = 6.7/x
cross multiply and solve
5 × 6.7 = 33.5
Rectangle ABCD has coordinates A(−10, 5), B(10, 5) , C(10, 0), and D(−10, 0). Rectangle A′B′C′D′ has coordinates A′(−2, 1), B′(2, 1), C′(2, 0) , and D′(−2, 0) . Which transformation describe why rectangles ABCD and A′B′C′D′ are similar? Responses Rectangle ABCD was reflected across the y-axis to form rectangle A′B′C′D′. , Rectangle , A B C D, , , was reflected across the y -axis to form rectangle, , , A prime B prime C prime D prime, . , Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′. , Rectangle , A B C D, , , was dilated by a scale factor of 5 to form rectangle, , , A prime B prime C prime D prime, . Rectangle ABCD was dilated by a scale factor of 15 to form rectangle A′B′C′D′ . , Rectangle , A B C D, , , , was dilated by a scale factor of , , 1 over 5, , to form rectangle, , A prime B prime C prime D prime, , . Rectangle ABCD was rotated 90° counterclockwise to form rectangle A′B′C′D′.
The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.
Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.
This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.
The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.
The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.
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Find the perimeter of the triangle whose vertices are (−3,−1), (1,−1), and (1,2). Write the exact answer
According to the solving the perimeter of the tringle = 12 cm.
What is the formula for triangle perimeter?Add the lengths of the triangle's sides to find its perimeter. For instance, if a triangle comprises sides a, b, as well as c, the perimeter of the that triangle is P = a + b + c.
What exactly is a 2D shape?2D objects have two dimensions, for example, width and height. A rectangle or even a circle are two-dimensional shapes. Because they have without depth, 2D forms are absolutely flat and can not be physically handled.
According to the given data:Points of the tringles:
A (−3,−1),
B (1,−1),
C (1,2)
we know that the:
Perimeter of the triangle = sum of all the side of the triangle
= AB + BC + CA
So
Length of the AB :
A (−3,−1),
B (1,−1),
AB =√((x2 – x1)² + (y2 – y1)²).
AB = √((1 – (-3))² + (-1 – (-1))²).
AB = √((4) + (0))
= √(16)
= 4
Length of the BC :
B (1,−1),
C (1,2)
BC =√((x2 – x1)² + (y2 – y1)²).
BC =√((1 – 1)² + (2 – (-1))²).
BC =√(0)² + (3)²).
BC = √(9)
= 3
Length of the CA:
A (−3,−1),
C (1,2)
CA =√((x2 – x1)² + (y2 – y1)²).
CA =√((1 – (-3))² + (2 – (-1))²).
CA =√((4))² + (3)²).
CA =√(16 + 9)
CA =√(25)
= 5
The perimeter of the triangle asked = AB + BC + CA
= 4 + 3 + 5
= 12 cm
According to the solving the perimeter of the tringle = 12 cm.
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Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = −x2 + 2x, [0, 2]
Yes, Rolle's Theorem can be applied.
No, because f is not continuous on the closed interval [a, b].
No, because f is not differentiable in the open interval (a, b).
No, because f(a) ≠ f(b).
Answer:
A) Yes, Rolle's Theorem can be applied!
Step-by-step explanation:
Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b.
Here, for our continuous function \(f(x)=-x^2+2x\) over the closed interval \([0,2]\), we can tell that the function is clearly differentiable over the interval \((0,2)\) as \(f'(x)=-2x+2\), so we'll need to check if \(f(0)=f(2)\):
\(f(0)=-0^2+2(0)=0\\f(2)=-(2)^2+2(2)=-4+4=0\)
Next, we'll need to check if f'(x) = 0 for some x within the closed interval:
\(f'(x)=-2x+2=0\\-2x+2=0\\-2x=-2\\x=1\)
As x=1 is contained in [0,2] and the previous conditions were met, Rolle's Theorem can be applied!
True or false
the sum of a number ans zero is zero
Answer:
True
the sum of any whole number and zero is the number itself. That is, zero is the only whole number that does not change the value (identity) of the number it is added to. The whole number 0 (zero) is called the additive identity or the identity element for addition of whole numbers
Answer:
false
Step-by-step explanation:
when we multiply a number with zero it will be zero
but when we add the answer will be the number itself
One week a computer store sold a total of 36 computers and external hard drives. The revenue from these sales was $. If computers sold for $1180 per unit and hard drives for $125 per unit, how many of each did the store sell?
Answer:
What is the revenue value mate
Step-by-step explanation:
please help!! find the inverse of image attached :)
The correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."
What is inverse?More precisely, if f is a function that maps elements from a set A to elements in a set B, then the inverse function of f, denoted as f^(-1), is a function that maps elements in set B back to elements in set A.
According to question:The given statement is: "If x equals 3, then 2b + 5 equals 11."
To find the inverse, we negate both the hypothesis and the conclusion of the statement and switch their order:Inverse: If x does not equal 3, then 2b + 5 does not equal 11.Therefore, the correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."
The inverse function f^(-1) is defined such that f(f^(-1)(x)) = x for all x in B, and f^(-1)(f(x)) = x for all x in A. In other words, applying the inverse function to the output of the original function returns the input value.
The existence of an inverse function depends on the properties of the original function. For example, a function must be one-to-one (or injective) to have an inverse function, which means that each input maps to a unique output. If a function is not one-to-one, then its inverse function may not exist or may have limited domain and range.
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A company develops a drug that they claim would make their consumers feel 'happier and more excited with life'. They plan to conduct an experiment to test this claim. In choosing their subjects, they plan to post invitations on a messageboard of a nearby university asking whether students would be interested in 'being the first to try out our new amazing drug!'. Those that volunteer are brought into company headquarters and given the drug. After a few hours of various activities, including lunch, they answer questions on a standard psychological test of happiness and engagement. Select all of the following problems that are likely to arise with such an experiment:
a. non-response.
b. undercoverage.
c. placebo effect.
d. poorly worded survey questions.
e. bias due to a voluntary response sample.
Answer:
b. undercoverage
c. placebo effect.
e. bias due to a voluntary response sample.
Step-by-step explanation:
Undercoverage because the invitation does not cover for a good amount of university students. It is only given to university students that are nearly
Placebo effect occurs due to the fact that the drug is given to all the sample participants so it will be very difficult differentiating any effect that is above the placebo response. Therefore, the placebo effect is a main problem.
Voluntary Response Bias in survey sampling, this happens due to the fact that sample participants are volunteers that were self selected.
The following problems that are likely to arise with such an experiment is:
B. Undercoverage
C. Placebo effect.
E. Bias due to a voluntary response sample.
B. Under coverage -
Supply shortage as invitations do not cover many college students. It is given only to college students who are approximately years old.C. Placebo effect-
The placebo effect occurs because the drug is administered to all participants in the sample, so it is very difficult to distinguish a greater effect than the placebo reaction. Therefore, the placebo effect is a big problem.E. Bias due to a voluntary response sample.
The Spontaneous response bias in survey sampling. This is due to the fact that the sample participants are self-selected volunteers.Thus, the correct option is B, C and E.
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Golf balls cost $0.90 each at Emma’s Club, which has an annual $25 membership fee. At Wendy & Marilyn’s sporting goods store, the price is $1.35 per ball for the same brand. Where you should buy your golf balls depends on how many you wish to buy. Explain, and illustrate your reasoning by drawing a graph.
Answer:
Gjjjjjjjjjjjjjjjjo
Step-by-step explanation:
Jkk
A motorboat travels 189 kilometers in hours going upstream and 693 kilometers in 7 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water: km/h
Rate of the current: km/h
Answer:
rate of the boat in still water: 81 km/h
rate of the current: 18 km/h
Step-by-step explanation:
Rate of the boat in still water:81 km/h
Rate of the current: 18km/h
What is speed?Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is speed = distance ÷ time.
Given
b= speed of boat in still water c=speed of current
"boat travels 693 kilometers in 7 hours going downstream" Going downstream, the boat travels b+c km per hour. b+c km/hr = 693 km/7hr = 99 km/hr
b+c=99
"boat travels 189 kilometers in 3 hours going upstream" Going upstream, the boat travels b-c km per hour. b-c km/hr = 189 km/3hr = 63 km/hrb-c=63
Add the equations together to eliminate the c terms: b+c=99 b-c=63 2b = 162, therefore, b= 81
b+c= 99, so c = 99 - b= 18
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p²+6p+9 help me please
Answer:
(p+3)(p+3)Step-by-step explanation:
\( {p}^{2} + 6p + 9\)
\( = {p}^{2} + 3p + 3p + 9\)
= p(p + 3) + 3(p + 3)
= (p+3)(p+3) (Ans)
Answer:
(p+3)^2 =0
p=-3
Step-by-step explanat
Suppose you buy a $50 coffee maker in an area where the sales tax is 8%. When you check out, 8% of $50 would be added to your total price. How much would you pay total? please help me with this question since this is due tommorow and I will get a 0% if it's not on time
Answer:
you will have to pay a total of 54$
Step-by-step explanation:
50$ : 100% = x : 108% (+8% for the tax 100+8+108)
100x = 108 x 50
100x = 5400
5400 ÷ 100 = 54
Total 54 $
The total money paid to buy a coffee maker is $54.
Given that, the cost of a coffee maker=$50 and the sales tax=8%.
We need to find the total cost of a coffee maker.
What is a sales tax?A sales tax is a tax paid to a governing body for the sales of certain goods and services. Usually, laws allow the seller to collect funds for the tax from the consumer at the point of purchase.
Sales tax is an amount of money, calculated as a percentage, that is added to the cost of a product or service when purchased by a consumer at retail.
Now, the total money paid=50+8% of 508% of 50 can be calculated as 0.08×50=4
So, 50+4=$54
Therefore, the total money paid to buy a coffee maker is $54.
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Tina pet sits to earn extra money. She charges a flat service fee of $20, plus $15 per day. If one of her customers spent less than $125, which of the following inequalities could be used to solve for x, the number of days the customer paid for pet sitting?
Therefore, **x < 7** is the inequality that may be utilized to find x
What is inequality?A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).
For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".
Let x represent how many days the client paid for pet sitting.
$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.
We are aware that the customer's purchase was under $125. Consequently, we can write:
20 + 15x < 125
Putting this disparity simply:
15x < 105
x < 7
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How many solutions does the system of equations below have? y=-3/4x+1/6
The solution is the point (0, 1/6) y = 1/6
Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.
In this case, the equation is in slope-intercept form (y = mx + b),
where m represents the slope (-3/4) and b represents the y-intercept (1/6).
The slope-intercept form allows us to determine various properties of the equation.
Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.
Each pair of x and y values that satisfy the equation represents a solution.
For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:
y = (-3/4)(0) + 1/6
y = 1/6
Therefore, the solution is the point (0, 1/6).
In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.
Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.
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Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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if a is a set of real numbers which is bounded above and b is a set of real numbers which is bounded below then there is at most one real number in both a and b?
If a is a set of real numbers that is bounded above and b is a set of real numbers that is bounded below, there is at most one real number that can exist in both sets.
A real number is any number that can be expressed as a decimal or fraction and exists on the number line.
If a set of real numbers, represented by a, is bounded above, it means that there exists a real number, represented by M, such that all the numbers in the set are less than or equal to M. Similarly, if a set of real numbers, represented by b, is bounded below, it means that there exists a real number, represented by m, such that all the numbers in the set are greater than or equal to m.
Now, let's consider a real number, represented by x, that exists in both sets a and b. If x exists in a, it must be less than or equal to M and if x exists in b, it must be greater than or equal to m. Hence, x must satisfy both conditions: M >= x >= m.
From these conditions, it can be deduced that M and m must be equal to x. In other words, there can only be one real number that is simultaneously the greatest value in a and the smallest value in b.
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Assume we have a random variable X with a Uniform probability density function. Uniform probability density is defined as: if a < x
The range of the uniform random variable X, you can compute its mean and variance.
b, then the probability density function (pdf) of a uniform random variable X is given by:
f(x) = 1/(b - a) for an x b
And f(x) = 0 otherwise.
The uniform distribution is a continuous probability distribution with a constant probability density over a given range (a, b). The range (a, b) defines the possible values of the random variable X, and the constant probability density means that all values in the range have an equal chance of occurring.
The mean (expected value) and variance of a uniform random variable X are given by:
Mean (expected value) = (a + b)/2 Variance = (b - a)2/12
So, if you specify the range of the uniform random variable X, you can compute its mean and variance.
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write 464000 in correct scientific notation
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
Which part of the algebraic expression 7a - 4 is the constant?
7a4
4
7 a
O7
Can someone help me Solve:
-2√3+√75=
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)Find a polynomial of the specified degree that has the given zeros.
Degree 5;
zeros -4, -3, 0, 4, 3
Answer:
f(x)=x(x+4)(x+3)(x-4)(x-3)
Step-by-step explanation:
hello :
an polynomial is : f(x)=(x+4)(x+3)(x-0)(x-4)(x-3)
means : f(x)=x(x+4)(x+3)(x-4)(x-3)
Question:
(-11x-11x-11)=?
Answer:
-22x-11
Step-by-step explanation:
Your welcome! :)
afia bought shoes that were on sale for 30% off the regular price. Afia saved $12. What was the regular price
Answer:
$40
Step-by-step explanation: