A linear function makes a straight line
A nonlinear graph is any curve that isn't a straight line. In this case, graph C is a parabola (from a quadratic function).
Graph A is a straight line.
Graph B is a straight line.
Graph C is not a straight line
Graph D is a straight line.
The non-linear graph is option D.
Option D is the correct answer.
What are coordin2ates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
Graph A
Graph B
Graph C
Graph D
A linear graph is a graph that is a straight line.
A non-linear graph is a graph that is not a straight line.
Now,
With the given coordinates on each graph, we see that,
Graph A is a straight line.
Graph B is a straight line.
Graph C is not a straight line
Graph D is a straight line.
Thus,
The non-linear graph is option D.
Option D is the correct answer.
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Find the value of x for the following
Answer: x = 10
Step-by-step explanation:
4x+89=129
(2 parallel straight lines have congruent angles)
then solve for x.
Step 1: Subtract 89 from both sides of the equation.
4x = 40
(We want to isolate the variable x on one side of the equation. To do this, we need to get rid of the number 89 that is currently on the right side of the equation. To do this, we subtract 89 from both sides of the equation.)
Step 2: Divide both sides of the equation by 4.
x = 10
(To isolate the variable x further, we need to get rid of the coefficient 4 that is currently in front of x. To do this, we divide both sides of the equation by 4.)
Karen invested $2,000 in a special savings account.
The balance of this special savings account will double
every 5 years. Assuming that Karen makes no other
deposits and no withdrawals, what will be the balance
of Karen's investment at the end of 40 years?
A. $ 80,000
B. $ 256,000
C. $ 400,000
D. $ 512,000
E. $1,024,000
Answer:
D. $512,000
Step-by-step explanation:
Well if the balance doubles every 5 years, then dividing 40 by 5 gives us the number of times the money will double, which is 8. We can then turn this into the equation \(2000(2^{8})\). \(2^8\) can be simplified to 256. Multiply that by 2000 and we get our answer, 512000. Hope this helps!
Pls mark brainliest!equation of the line that has a slope of - 1/2and passes through the points (4,5)
Answer:
y=-1/2x+7
Step-by-step explanation:
I think its that
Answer:
y = (1/2) x + 3
Step-by-step explanation:
The equation of linear functions is y = m x + b
In this case, we know m = 1/2 , and have point (4,5). We only need to find our y-intercept or b value.
What we can do is substitute what we know into our formula which will give us variable b, or the y-intercept. That will look like:
5 = (1/2) * 4 + b
5 = 2 + b
3 = b
So, the equation is y = (1/2) x + 3 :)
find the domain and range of each f(x)^ * = 1 + x ^ 2
The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).
How to explain the domainIn determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.
Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.
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Which equation has the solution x = 9?
Select each correct answer.
2x−3=15
81x−3=6
24−2x=13
3x + 2 = 25
x3+7=8
4 + 5x = 18
Answer:
its 81x-3=15 instead
Step-by-step explanation:
I took the test and got 90% thinking it was 2x-3=15 but its not
PLEASE HELP QUICKK!!
Suppose (-7, -3) is reflected across the x-axis, and then the y-axis. what will be the new coordinates?
Answer:
C (7, -3)
Step-by-step explanation:
Reflecting on x causes the x value to change signs, then again on y changes the y value's sign.
Answer:
B
Step-by-step explanation:
-7 is the x and -3 is the y so flip would be (-7,3)
Least common multiple of 168 and 76
Answer:
Best to draw out a factor tree.
Answer:
3192
this is the answer but if you need to show work then I can't help ya bud
two figures are similar with a similarity ratio of 4:3. If the perimeter of the larger figure is 24cm, find the perimeter of the smaller figure
The perimeter of the smaller figure among the two figures with similarity ratio of 4:3 is 18cm.
What is ratio?A ratio is a number that allows one quantity to be expressed as a fraction of another quantity. Two numbers in a ratio can only be compared if they have the same units. Use ratios to compare two things.
Understanding similarity ratio:The similarity of two similar shapes is the ratio of each pair of corresponding sides. Simply put, when two figures are found to be similar, all pairs of corresponding sides have the same proportions.
According to the information:
Perimeter of larger figure= 24cm
Let, perimeter of smaller figure be "x"
So,
4:3 = 24/x
4/3 = 24/x
⇒x = (24 x 3)/4
⇒x = 72/4
⇒x = 18
Thus the perimeter of smaller figure is 18cm.
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6 Luiz, Seth and Fran share £1440 in the ratio 3:5:7. Fran splits her share with her sister Ali in the ratio 4:1.
a) How much does each person end up with?
b) Find the ratio of the amount that Fran ends up with to the amount that Seth ends up with.
Give your answer in its simplest form.
Answer:
A) £1440 in the ratio of 3:5:7 is - £288: £480: £672
After Fran gives her sister Ali a share in the ratio 4:1, Fran was left with £537.60 and her sister was left with £134.40
B) Fran to Seth = £537.60: £480 → £28: £25
Step-by-step explanation:
To find 1 part of £1440 in the ratio of 3:5:7 you have to add 3+5+7= 15
Then you divide £1440 by 15 which is = £96
Next you take 96 and times it by 3 then 5 then 7 and put it in the ratio 3:5:7= £288: £480: £672
To find out how much Fran and her sister Ali end up with you have to add 4 & 1 = 5
Then divide Fran’s share, £672, by 5= £134.40
£134.40 is Ali’s share and now we need to find Fran’s by multiplying £134.40 by 4 which is= £537.60
F: A = £537.60: £134.40
As we now know Fran is left with £537.60 and we have to put that into a ratio with what Seth has. Earlier we found out that Seth has a total of £480 from the original share (£1440). If we put this knowledge into a ratio it becomes:
£537.60: £480
But we need to simplify them. So we need to change the values to whole number.
Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places. We then have: 480: 537.6 = 4800: 5376
Try to reduce the ratio further with the highest common factor (HCF). The HCF in our case is 192.
We need to divide both terms by the HCF:
4800 ÷ 192= 25
5376 ÷ 192= 28
Answer:
Step-by-step explanation:
Since we don't know how much each one of them gets, we will call that unknown amount x. Luiz gets 3x of the total amount, Seth gets 5x of the total amount, and Fran gets 7x of the total amount. The total amount is 1440, so the equation to find out how much that unknown amount x is looks like this:
3x + 5x + 7x = 1440 and
15x = 1440 so
x = 96.
That means that Luiz gets 3(96) = 288,
Seth gets 5(96) = 480,
and Fran gets 7(96) = 672. But Fran shares her portion in the ratio 4:1 with her sister. That's a separate equation that looks like this:
4x + 1x = 672 and
5x = 672 so
x = 134.40
That means that Ali gets 134.40, leaving Fran with 537.60.
That answers a. Now for b, the ratio of Fran's portion (what she's left with, at least) to Seth's is the fraction
\(\frac{537.60}{480}=\frac{28}{25}\) or in decimal form, 1.12
100 points!!!
Solve the following equation:
8x + 3 = 2x + 9
Answer:
\(\Huge \boxed{\boxed{ x = 1}}\)
Step-by-step explanation:
Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.
To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.
Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.
-------------------------------------------------------------------------------------------------------------
SolutionStep1: Subtract \(\bold{2x}\) from both sides
\(8x + 3 = 2x + 9\)\(8x - 2x + 3 = 2x - 2x + 9\)\(6x + 3 = 9\)Step 2: Subtract 3 from both sides
\(6x + 3 - 3 = 9 - 3\)\(6x = 6\)Step 3: Divide both sides of the equation by 6
\(\frac{6x}{6} = \frac{6}{6}\)\(x = 1\)So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).
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) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
Which point is located at -1 3/8?
Point C is located at -1 3/8
Hope that helps!
valuate the summation for the indicated value of the variable. 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!); m = 3
The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.
What is Expression?In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.
To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:
1(1!)+2(2!) +3(3!) +4(4!) +3(3!)
= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)
= 1 + 4 + 18 + 96 + 18
= 137
Therefore, the value of the summation when m = 3 is 137.
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Maya has savings of $60,000. She invests in a bond mutual fund that pays 4% interest each year. Ignoring compounding, what are Maya's total savings after 20 years?
Answer:
Below.
Step-by-step explanation:
0.04x20 =0.8 or 80 percent.
80 percent of six thousand is 4800+6000 = 10,800
Answer:
Total saving is $ 108,000
Step-by-step explanation:
Data :
Saving = $60,000
Interest = 4%
Time = 20 years
First we need to find 4% of 60000
(60000×4)÷100 = 2400
Total interest 2400×20 =48000
Now add saving and total interest
60000 + 48000 = 108000
Two shops rent pairs of skis for a rental fee plus a fee per hour. Write and solve an equation to
find how many hours must a pair of skis be rented for the total costs to be the same?
Shop A Equation:
Shop B Equation:
Solution:
Rental Fee
Hourly Fee
Shop A
$3
$9
Shop B
$9
$6
For the total costs to be the same a pair of skis must be rented for 3 hours.
Two shops rent pairs of skis for a rental fee plus a fee per hour.
Let, the number of hours must a pair of skis be rented = x
Equation for Shop A,
3 + 9x equation 1
Equation for Shop B,
9 + 6x equation 2
Total cost for Shop A and Shop B is same so we can equate equation 1 and equation 2 as mentioned below:
3 + 9x = 9 + 6x
3x = 6
x = 3
Thus we can write, for the total costs to be the same a pair of skis be rented for 3 hours.
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Find the value of x so that L||M
9514 1404 393
Answer:
x = 19
Step-by-step explanation:
The marked (consecutive interior) angles will be supplementary when the lines are parallel.
(3x +10)° +(5x +18)° = 180°
8x = 152 . . . . . . . . . . . . . . . divide by °, subtract 28
x = 19 . . . . . . . . . . . divide by 8
\( \sqrt{20} \times \sqrt{15} \times \sqrt{3} \)
can you help me solve it
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were
black-and-white copies, and the rest were color copies.
• Each black-and-white copy cost $0.08.
• Each color copy cost $0.15.
Which system of equations can be used to find b, the number of black-and-white copies, and
c, the number of color copies that the customer paid for at the print shop?
The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,
⇒ b + c = 68
⇒ 0.08b + 0.15c = 6
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
Total amount paid = $6.00
Total copies = 68
Cost of black-and-white copy = $0.08
Cost of color copy = $0.15
Now, Let number of black-and-white copies = b
And, Number of color copies = c
Hence, The equation become;
b + c = 68
0.08b + 0.15c = 6
Therefore, The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,
⇒ b + c = 68
⇒ 0.08b + 0.15c = $6
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Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $560.00 and her monthly expenses are $347.49, what percent of her net pay is left for savings? (2 points)
19%
23%
38%
Answer:
38%
Step-by-step explanation:
First determine her savings
560-347.49
212.51
Then divide by the total amount
212.51/560
.379482143
Change to percent form
37.948%
Answer:
38%
Step-by-step explanation:
\(560.00-347.49=212.51\\212.51\div560.00==38\)
I need help i dont understand
Answer:
The slope is 100/2 which can also be 50.
Step-by-step explanation:
Anyways have a nice day/night :)
A planet has a circumference of approximately 39,750 km. with this circumference, what is it's radius?
the radius of the planet is_____ (round to the nearest integer as needed)
use the measurement above to determine the length of an arc from the North Pole of the planet to the Equator.
Answers:
radius = 6326 kmdistance from north pole to equator = 1582 kmThese values are approximate
=============================================================
Explanation:
The circumference formula is
C = 2*pi*r
which rearranges to
r = C/(2pi)
when solving for r.
Plug in the given circumference to find that
r = C/(2pi)
r = (39,750)/(2pi)
r = 6,326.40898790283
For the sake of the most accuracy possible, I'm using my calculator's stored version of pi (and not something like pi = 3.14); if your teacher requires you to use pi = 3.14 then follow those instructions of course.
The radius is roughly 6326 km when rounded to the nearest integer.
Keep in mind that the earth isn't a perfect sphere, but rather a slightly squished one. This means the earth is slightly fatter than it is tall. However, for the sake of this problem, we'll assume it's a sphere.
------------------------
Once you determine the circumference, aka distance around the circle, we can figure out the next problem: determining the distance from the north pole to the equator. This distance runs along a line of longitude, so it's a north-south distance.
Again, imagine the earth is a perfect sphere. This means that the equator circumference is the same as the circumference as a full longitude line when we travel the globe only along that line. In other words, start at the north pole, travel along that specific longitude only until you reach the south pole. Then staying on that line, travel back to the north pole going around the backend of the earth.
That full circular path we traveled will get cut into 1/4 because 1/2 the circumference is the portion from north to south pole, and then we cut that distance in half when going from north pole to the equator.
(1/4)*(6,326.40898790283) = 1,581.6022469757
That rounds to 1582 km
------------------------
Side notes:
39750 km = 24700 miles (approximate)6326 km = 3931 miles (approximate)1582 km = 983 miles (approximate)To convert from km to miles, you divide by roughly 1.609344On a map,1/2 inch represents 50 miles. how many miles per inch are represented on the map? PLEASE HELP! My teacher will kill me!
Answer:
WEll first show the MAP. Then I will help.
Step-by-step explanation:
Answer:
100 miles
Step-by-step explanation:
Half an inch is.. half of an inch. If you want to find out how many miles per inch there are, multiply the amount of miles for every half inch (50) by 2.
95×2 the answer to problem is
95 times 2 is 190.
90 times 2 is 180, and 5 times 2 is 10.
180 + 10 = 190.
Help please!! I’ll give brainliest if you show work as well. Thank you!!!
Answer:
TWO CRACKERS
Step-by-step explanation:
I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.
Hope this helped
What is p2 + 13 if p = −4?
29
17
−3
−21
The value of the expression p² + 13 will be A. 29.
How to compute the expression?It should be noted that the expression given is that p² + 13 and we are told that p = -4.
Therefore, we have to put the value of p into the expression. This will be:
p² + 13
= (-4)² + 13
= 16 + 13.
= 29
The value is 29.
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2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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Help me I beg u! The pre-image coordinates of a triangle are J(-6,9), K(-6,4), and L(-3,4). The coordinates of the transformed triangle are J'(2,9), K'(2,4), and L'(5,4). What transformation has occurred? A. translation B. reflection C. dilation D. rotation Reset Next Question
Answer:
A. Translation
Step-by-step explanation:
Given
Preimage
\(J = (-6,9)\)
\(K = (-6,4)\)
\(L = (-3,4)\)
Image
\(J' = (2,9)\)
\(K' = (2,4)\)
\(L' = (5,4)\)
Required
Which transformation occurred
The transformation that occurs is translation because each of the preimage were translated or shifter right by 8 units.
The rule applied here is:
\((x,y)=>(x+8,y)\)
So, we have:
\(J = (-6,9)\) \(==> (-6+8,9) = (2,9)\)
\(K = (-6,4)\) \(==> (-6+8,4) = (2,4)\)
\(L = (-3,4)\) \(==> (-3+8,4) = (5,4)\)
Hence, the transformation is (a) Translation
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
13 ft
5 ft
?
9 ft
6 ft
4 ft
The measure of the missing side length from the given figure is 11 feet.
What is right angle?The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection.
It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.
The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.
In the given figure, assuming that all the intersecting sides meet at right angles.
So, the opposite sides are parallel to each other.
Let x be the length of missing side.
Thus, The length of missing side = Sum of length of parallel sides
Now, x= 5+6
= 11 feet
Therefore, the length of side missing is 11 feet.
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Let f(x,y,z)=(x^2)(y^3)+(z^3) and x=(s^2)*(t^3),y=s*t , and z=(s^2)*t .∂x/∂s=?
The value of ∂x/∂s is 4s^2 * t^6.
To find ∂x/∂s, we need to differentiate x with respect to s while treating t as a constant. Let's begin by substituting the given expressions for x, y, and z into the function f(x, y, z):
f(x, y, z) = (x^2)(y^3) + z^3
Substituting x, y, and z:
f(s, t) = ((s^2)(t^3))^2 * (s*t)^3 + ((s^2)*t)^3
Expanding the expression:
f(s, t) = (s^4 * t^6) * (s^3 * t^3) + (s^6 * t^3)
Now, let's differentiate x with respect to s:
∂x/∂s = ∂/∂s [(s^2)(t^3)]^2
Using the chain rule, we can differentiate each term separately:
∂x/∂s = 2 * (s^2 * t^3)^1 * ∂/∂s [(s^2)(t^3)]
Differentiating (s^2)(t^3) with respect to s:
∂/∂s [(s^2)(t^3)] = 2s * t^3
Substituting back into the expression for ∂x/∂s:
∂x/∂s = 2 * (s^2 * t^3)^1 * 2s * t^3
Simplifying:
∂x/∂s = 4s^2 * t^6
Therefore, ∂x/∂s = 4s^2 * t^6.
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Which three lengths could be the lengths of the sides of a triangle?
Α. 11 cm, 11 cm, 24 cm
B. 18 cm, 12 cm, 9 cm
C. 9 cm, 19 cm, 10 cm
D. 4 cm, 7 cm, 23 cm
Answer:
The answer is option A: 11cm, 11cm, 24cm
Step-by-step explanation: