Answer: 12x−18
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The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.
Answer:
I don’t know but I have the same question with different numbers
Step-by-step explanation:
Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to two decimal places.
f(x)=x^2+6x, where x goes from 5 to 7.
Answer:
The average rate of change of the function in this interval is of 18.
Step-by-step explanation:
The average rate of change of a function [tex]f(x)[/tex] in an interval from a to b is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]f(x) = x^2 + 6x[/tex]
Where x goes from 5 to 7.
This means that [tex]b = 7, a = 5[/tex]. So
[tex]f(7) = 7^2 + 6(7) = 49 + 42 = 91[/tex]
[tex]f(5) = 5^2 + 6(5) = 25 + 30 = 55[/tex]
The rate of change is:
[tex]A = \frac{f(7) - f(5)}{7 - 5} = \frac{91 - 55}{2} = 18[/tex]
The average rate of change of the function in this interval is of 18.
The rate of change of a function over a given interval is required.
The average rate of change is 18
Rate of changeThe given function is
[tex]f(x)=x^2+6x[/tex]
The interval is between [tex]x=5[/tex] to [tex]x=7[/tex]
Finding the corresponding [tex]y[/tex] values
[tex]y=5^2+6\times 5=55[/tex]
[tex]y=7^2+6\times 7=91[/tex]
The two points are
[tex](5,55),(7,91)[/tex]
The slope is
[tex]m=\dfrac{\Delta y}{\Delta x}\\\Rightarrow m=\dfrac{91-55}{7-5}\\\Rightarrow m=18[/tex]
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What is 9.25% tax of $27.26?
Answer:
$29.78
Step-by-step explanation:
1. make the % into a decimal
9.25% = 0.0925
2. multiply amount by the decimal to get the tax amount
$27.26 × 0.095 = $2.52
3. take the original amount and add the tax to get your final total
$26.27 + $2.52 = $29.78
Christi has $7,500 to invest. She was offered a simple annual interest rate of 4% for three years, but wants to look at other options. Which of the following changes will increase the interest she earns the most?
A-Simple interest, 4.2%, 3 years
B-Simple interest, 4.1%, 3 years
C-Simple interest, 4%, 3.25 years
D-Compound interest, 4%, 2.75 years
Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
[tex]SI = \dfrac{P \times R \times T}{100}[/tex]
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The simple Interest she is currently getting,
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3}{100} =\$900[/tex]
A.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.2 \times 3}{100} =\$945[/tex]
B.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.1 \times 3}{100} =\$922.5[/tex]
C.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3.25}{100} =\$975[/tex]
D.)
[tex]CI = P(1+\dfrac{R}{100})^t -P = \$7,500(1+0.04)^{2.75}-\$7500 = \$854.16[/tex]
Hence, Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.
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what is the value of the ecpression ( 81 1/4 ) 4
Answer:
324 1/4
Step-by-step explanation:
Answer:
43580627 _(ﾟ◇ﾟ；)ノﾞ
Step-by-step explanation:
1.1 81 = 34
(81)1 = (34)1 = 3
34
Simplify ——
4
write a five digit number with an 8 that is 10 times the value of 8 in 48,324
Answer:
800000
Step-by-step explanation:
the 8 is 10,000, so 10 x 10,000 = 100,000
100,000 put an 8 anywhere
Which letter has line symmetry?
Q
P
L
J
M?
Answer:
M
Step-by-step explanation:
because it is equal on either side if you cut a line down the middle of the letter
8). There are five bags with 98 chocolate drops in each one. How many chocolate drops are there in total? Write the equation and give the solution.
Answer:
490
Step-by-step explanation:
98*5+490
Answer:
490
Step-by-Step Explanation:
the equation is 5 x 98 = 490.
Simplify (2^3)^-2
-1/64
1/64
2
64
Answer:
1/64
Step-by-step explanation:
Answer:
B edge 2022
Step-by-step explanation:
Find the value of x so that the function has the given value.
r(x)=−45x+7; r(x)=−5
Answer:
x = 3
Step-by-step explanation:
j(x) = 4/5(-5) + 7
= -4 + 7
= 3
help plz answer the question plzzz
Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from the account.
Answer: $7,605
Step-by-step explanation:
At the end of 1 years, the amount in the account will be:
= Principal * (1 + rate)^ no. of periods
= 6,500 * (1 + 17%)
= $7,605
im dum but please help me
Answer:
336
Step-by-step explanation:
area = 1/2 * (a + b) * h
Based on this triangle, which one of the following statements is true? (Note: the triangle is not drawn to scale)
[PLEASE LEAVE A SMALL EXPLANATION ILL MARK BRAINLIEST]
Answer:
A
Step-by-step explanation:
All triangles angles add up to 180°
A tree was 60 inches tall. Three years later it was 105 inches tall
Answer:
Im sorry but I think you have forgotten to pit your question innit
Answer:
Step-by-step explanation:
something is wrong with the question...
thanks for the points. ^_^
A band expects to put 12 songs on their next CD. The band writes and records 25% more songs than they expect to put on the CD. During the editing process, 80% of the songs are removed. How many songs will there be on the final CD?
Answer:
3 songs
Step-by-step explanation:
25% more songs: 12 x 1.25 = 15
80% removed: 15 x 0.2 = 3
which fraction is equivalent to 70/100
Answer:
710
Step-by-step explanation:
I need help if you help I’ll give you extra points!!!!!!!
Answer:
a=66m b=4.58cm
Step-by-step explanation:
a=5610 divided by 85=66 so 66m ×85 m =5610 meters squared
b=330cm ÷ 72 cm is 4.58. So 72×4.58=329.76 so rounded =330
Which of the following is most likely the next step in the series
Answer:
D
Step-by-step explanation:
6 sides then 5 then 4 then there should be 3
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how could you use 1/8 measuring cup to measure 1/4 cups of water
We can use 1/8 measuring cup two times.
What is measurement?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
A cup of measurement 1/8.
Now,
we have to measure 1/4 from the cup using cup of measurement 1/8.
So, we can measure it two times.
as, 1/8+ 1/8
= 2/8
=2/4.
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Solve the equation using the Distributive Property:
3(x+8) =
3x + 24 =
3x =
9x =
Answer: 3x=-24
9x is 3(3x)= 3(-24)
9x=-72
X=-8
Step-by-step explanation:
Allison converted 50 US dollars to 290 Argentine pesos. If she converts another 80
US dollars to Argentine pesos, how many pesos would she get for 80 US dollars?
( A) 1.6
B) 5.8
464
D) 580
Answer:
464 pesos
Step-by-step explanation:
290 / 50 = 5.8
5.8 X 80 = 464
It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear . Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear:
Answer:
The equations are not given but the clue to your answer is given below:
Step-by-step explanation:
So the question above talks generally about differential equations (equations whose derivatives can be found) and then describes them thus - the order of a differential equation and the linearity status of a differential equation.
To determine whether or not each of the absent equations is linear, check for the following characteristics of linearity:
1. The maximum number or power that any variable in a linear equation is raised to is 1.
Example: 2x² + 6y = 43y is NOT a linear equation because some or all (in this case, variable x) of the variables in it are raised to a power greater than 1. Variable x is raised to the power of 2.
2. An equation (a linear equation, in this case) contains an 'equal to' sign. This is the reason why it's called an equation. There is a mathematical expression on each side of the equal to sign. Take note of this, just incase one of the options in your question has no equal to sign.
Example: 2x + 6y is NOT a linear equation. It is a linear expression. It contains no equal to sign that compares two distinct mathematical expressions.
3. A linear equation usually has not more than two variables. It is not complex or difficult to solve.
Example: 2x + 6y = 43z is NOT a linear equation.
If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all
coordinate points on the curve where x = -1 and the line tangent to the
curve is horizontal, or state that no such points exist.
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
Solve for x:
1 ½ - ( 5/6x + ⅓ ) = 8/9
Answer:
its x=1/3 :)))
1.4(4.4x2.3) how do I distribute this
Answer:
14.168
Step-by-step explanation:
4.4 times 2.3= 10.12
1.4(10.12) = 14.168
Plz help
Simplify 6(3x-5)+5(2x-1)
Complete the table, and graph the pairs of values.
Algebraic Expression Evaluate the expression 9x + 2 when × = 3
HELP ME
Answer:
The value of 9x+2 when x=3 is 29
Step-by-step explanation:
Algebraic Expressions
We are given the expression
9x + 2
And it's required to evaluate the expression when the value of x is 3.
It can be done by substituting x by 3:
9*3 + 2
=27 + 2
=29
The value of 9x+2 when x=3 is 29