Answer:
f(-3) = 36g(5) = -21Step-by-step explanation:
f(x) = 3x² - 3x
g(x) = -5x + 4
Find the value of the function when x = -3:
f(x) = 3x² - 3x
f(-3) = 3(-3)² - 3(-3)
f(-3) = 3(9) + 9
f(-3) = 27 + 9
f(-3) = 36
Find the value of the function when x = 5:
g(x) = -5x + 4
g(5) = -5(5) + 4
g(5) = -25 + 4
g(5) = -21
Hope this helps!
Given 100 grams of bacteria that decreases at the rate of 1/2 per year. What would be an appropriate range after 4 years
Answer: B 0
Step-by-step explanation:
8b + 32
b=7
also an expression equivalent to 8b + 32 and why
2. Lawn tickets cost $30 each and seat tickets cost $50
each. The organizers want to make at least $14,000
from ticket sales.
If you know that exactly 200 seat tickets were sold,
what can you say about the number of lawn tickets?
In order to complete the target the person must have to sell 133 lawn tickets and 200 seat tickets.
What are arithmetic operations?The study of numbers and their operations, which are essential to all other branches of mathematics, falls under the umbrella of arithmetic operations. The four fundamental operations in these systems are addition, subtraction, multiplication, and division.
It is given that, tickets for the lawn cost $30 apiece, while those for seats cost $50 each. At least $14,000 is what the organizers want to make from ticket sales.
The amount earned from seat tickets,
=$50 × 200
=10000
The amount needed to complete the target,
=$14,000 - $10,000
=$4,000
If they earned $4,000 by selling lawn tickets. Since lawn tickets were $30, the formula to determine how many were sold is $4000 divided by $30.The number of lawn tickets is obtained as,
=4000/30
=133
Thus, the number of lawn tickets will be 200.
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The sum of two numbers is 15. One number is 3 less than the other number. Find the
smaller number
Answer:
6+9 I think so 6
Step-by-step explanation:
I think this is right, hope it helped!
Answer:
6
Step-by-step explanation:
First make an equation where x symbolises the bigger number.x-3 is the smaller one. Solve for x.
x+(x-3)=15
x+x-3=15
x+x=15+3
2x=18/:2
x=6
find the product in lowest terms 24/18x2/17x34/3
Answer:
Step-by-step explanation:
To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:
(24/18) * (2/17) * (34/3)
First, we can simplify the fractions by reducing any common factors in the numerators and denominators:
24/18 = (212)/(29) = 12/9 = 4/3
2/17 = 2/17
34/3 = (2*17)/3 = 34/3
Now we can multiply the simplified fractions:
(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153
The product of the given fractions in lowest terms is 272/153.
Bashir has a loyalty card good for a 10% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $11? Round to the nearest cent.
The total cost of all the items he wants to buy with the applied discount and before tax is $9.9.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Bashir has a loyalty card good for a 10% discount at his local hardware store.
So, Each good he buys at (100 - 10)% = 90% of the value before tax.
He wants to buy some items that cost $11 before the discount and tax.
Therefore the amount he has to pay is,
= (90/100)×11.
= $9.9
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a) List the differences between Linear and Exponential Functions.
Answer:
What is the difference between linear and exponential functions? Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.
integer for 300 feet above sea level
what is the value of -3 1/2 x 2 1/2
Answer: −8 3 /4
Step-by-step explanation: (−3 1 /2 )(2 1 /2 )
(-7/2)(5/2)
−35 /4
−8 3 /4
When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number
that is 5 less than x. What is the value of x?
Please help I will give you brainless please
Answer:
x=7 is the answer
Step-by-step explanation:
What is the area of a sector with a central angle of 180° and a diameter of 21.2 cm? Use 3.14 for and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
(176.41cm^2)
The area of the sector with a central angle of 180° and a diameter of 21.2 cm is given as follows:
176.41 cm².
What is the area of a circle?The area of a circle of radius r is given by π multiplied by the radius squared, as follows:
A = πr²
The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle that pass through the center. Hence, the diameter’s length is twice the radius length.
The diameter for this problem is of 21.2 cm, hence the radius is given as follows:
r = 0.5 x 21.2 = 10.6 cm.
The central angle of 180º means that we have a semicircle, as an entire circle has a central angle of 360º, thus the area is given as follows:
A = 0.5 x 3.14 x 10.6²
A = 176.41 cm².
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Two wires are attached to a pole and create similar triangles with the ground. The longer wire is attached to the ground 32 feet from
the base of the pole and the shorter wire is attached to the ground 16 feet from the base of the pole.
If the cosine of the angle formed by the shorter wire and the ground is 8/41, what is the length of the longer wire?
Please help im so confused!
The length of the longer wire is 82 feet.
Let's denote the length of the longer wire as L. According to the given information, the shorter wire is attached to the ground 16 feet from the base of the pole, and the longer wire is attached to the ground 32 feet from the base of the pole.
We can form two similar right triangles using the wires. The height of each triangle is the height of the pole, and the base of each triangle is the distance from the base of the pole to where the wire is attached to the ground.
In the first triangle, the shorter wire creates an angle with the ground. Let's denote this angle as θ. Since we are given the cosine of this angle, we can use the cosine function to find the height of the pole in terms of θ and the base of the triangle:
cos(θ) = adjacent/hypotenuse = 16/L
Given that cos(θ) = 8/41, we can substitute this value into the equation:
8/41 = 16/L
To solve for L, we can cross-multiply and solve for L:
8L = 41 * 16
L = (41 * 16)/8
L = 82
Therefore, the length of the longer wire is 82 feet.
In summary, the length of the longer wire is 82 feet, as determined by using the cosine of the angle formed by the shorter wire and the ground, and considering the similarity of the triangles formed by the wires and the pole.
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Find the solutions to x2 = 18.
O A.
- +32
B. X = +63
O c. X = +376
O D. X = +2/3
Answer:
what in the math equations is this???
Step-by-step explanation:
Travel Expenses, Meals And Entertainment, Educational Expenses (LO 3.4, 3.5, 3.6) Bob is a self-employed lawyer and is required to take a week of continuing legal education every year to maintain his license. This year he paid $1,400 in course fees for his continuing legal education in a different city. He also paid $500 for airfare and a hotel room and paid $300 for meals, all of which were provided by the hotel’s restaurant. Bob also purchased a $10 bag of snacks from a newsstand while waiting for his plane in the airport because he missed lunch. What is the total amount he can deduct on his Schedule C related to these expenses? fill in the blank 1 of 1$
Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
How to calculate deductible amount?To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:
Course fees for continuing legal education: $1,400
Airfare and hotel room: $500
Meals provided by the hotel's restaurant: $300
Snacks from the newsstand: $10
To calculate the total amount that Bob can deduct, add up these expenses:
$1,400 + $500 + $300 + $10 = $2,210
Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
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A right triangle has a leg length of square root of 6 and a hypotenuse length of 7. Determine the length of the other leg of the right triangle. 3 36 square root of 39 square root of 43
Answer:
√43
Step-by-step explanation:
Implement the Pythagorean formula to solve for sides of a right triangle: a^2 + b^2 = c^2, where "a" and "b" are the legs and "c" is the hypotenuse.
a = √6 and c = 49
√6^2 + b^2 = 49
6 + b^2 = 49
b^2 = 43
b = √43
Answer:
The square root of 43
Step-by-step explanation:
I did this in class the other day
would give you brainliest whoever answers this correct first !!
A bank loaned out 20,500, part of it at the rate of 9% annual interest, and the rest at 11% annual interest the total interest earned for both loans was 2,225.00 how much was loaned at each rate
The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.
Let the amount of money loaned at 9% be x
the amount of money loaned at 11% be y
According to the question,
Total money loaned = 20,500
Thus the equation formed is,
x + y = 20,500 ------ (i)
Simple interest is calculated by
I = P * r * t
where I is the simple interest
r is the rate of interest
t is the time
Thus, the interest on x = 0.09x
the interest on y = 0.11y
Total interest gained = 2,225
Thus the equation formed is,
0.09x + 0.11y = 2225 -------(ii)
Multiply (i) by 0.09
0.09x + 0.09y = 1845
Subtract the above from (ii)
0.02y = 380
y = 19000
x = 1500
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A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $22. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $25. Find the cost for each pound of trail mix and each pound of jelly beans.
Solving a system of equations we can see that each pound of trail mix costs $3.50, and each pound of jelly beans costs $1.50
How to find the cost of each?Let's define the variables:
x = cost of a pound of trail mix.y = cost of a pound of jelly beans.Then we can write a system of equations so we will get:
5x + 3y = 22
2x + 12y = 25
To solve this, we can subtract 4 times the first equation fom the second one:
2x + 12y - 4(5x + 3y) = 25 - 4*22
2x + 12y - 20x - 12y = -63
-18x = -63
x = -63/-18
x = 3.5
That is the cost of each pound of trail mix, and replacing that in one of the equations:
2*3.5 + 12y = 25
y = (25 - 2*3.5)/12
y = 1.5
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a study was conducted that resulted in the following relative frequency histogram. determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable.
If the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.
What is Histogram?Histogram a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.
Given is relative frequency histogram.
The histogram is not given, so will discussion the property that tells whether the histogram indicates a normal distribution or not.If the bars roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.Therefore, if the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.
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What is the median of this data set?3 , 17 , 17 , 11 , 8 , 13 , 5 , 18
Answer
12
Step by Step
Uhh no step by step it's ez so i know it
what is the sum 3/x+9+5/x-9
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
Write this number in standard notation.
1.986 x 106
1,986,000
you move the decimal 6 places to the right
Answer:
dude above is right
Step-by-step explanation:
What is the solution to the equation 40= 2.5y?
Answer:
y = 16
Step-by-step explanation:
Given
40 = 2.5y ( isolate y by dividing both sides by 2.5 )
16 = y
WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
This scale drawing shows a reduction in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
X =
The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.
Given two triangles.
Also given that, the scale drawings given are the reduction of the figure.
Most probably, the second triangle must be formed after a reduction with a scale factor of k.
Let k be the required scale factor.
The value of k can be found by taking the ratio of the corresponding sides.
k = 5.2 / 10.4
= 0.5
So all the corresponding sides will be half of the first triangle.
x = 0.5 × 12.6
= 6.3 feet
Hence the value of x is 6.3 feet.
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-8x - 2y = -24
Find the slope
The data represents the heights of eruptions by a geyser.
Use the heights to construct a stemplot. Identify the two values that are closest to the middle when the data are sorted in order from lowest to highest.
The values nearest to these middle elements are 60 and 63 inches.
The dataset is given as:
62 33 50 90 80 50 40 70 50 63 74 53 55 64 60 60 78 70 43 82
Then, we sort the information elements in ascending request
33 40 43 50 50 50 53 55 60 60 62 63 64 70 70 74 78 80 82 90
The length of the dataset is 20.
Thus, the elements at the middle are the tenth and the 11 elements.
From the arranged dataset, these elements are: 60 and 62
Thus, the values nearest to this median are 60 and 63
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Which function family is represented by the table?
x -5 0 5 10 15 20 y 3 4 5 6 7 8
Domain ( Inputs ) Range (Outputs)
2, 5, 10. 6, 15 , 30
X Y
2. 6
5. 15
10. 30
What are the domain and range of f(x) = -24 ?
Domain: {-24} Range: All real numbers
Domain: {-24} Range: {-24}
Domain: All real numbers Range: All real numbers
Domain: All real numbers Range: {-24}
The domain of the function is, All real numbers.
And, The range of the function, {- 24}
What is Domain?The set of all inputs of the function is called Domain of set.
We have to given that;
The function is,
⇒ f (x) = - 24
Now, We know that;
The domain is where the function is defined.
Hence, The domain of function f (x) = - 24 is,
⇒ Domain = (- ∞, ∞)
And, The range is the set of values that correspond with the domain.
Hence, The range of the function, {- 24}.
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Find the values of x and y
(5y+38)
(8x+26)
3x
The tree diagram represents an
experiment consisting of two trials.
P(D) = [? ]
Answer:
9 over 11 plus 8 over 12 = 2.7