Answer: [tex]g(5) *h(5) = (5-7)(5^2)= (25)(-2) = -50[/tex] Im assuming that g(x) is x^2, since you were incapable of writing the exponent sign
Step-by-step explanation:
[tex](g*h)(x)=g(x)*h(x)[/tex]
So this means the functions should be multipled and both evaluated at x = 5
The value of the composition of functions ( g o f ) ( 5 ) = 4
What is Composition of functions?Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as h ( x )
Now , the value of h ( x ) is
h ( x ) = x - 7
Let the second function be represented as g ( x )
Now , the value of g ( x ) is
g ( x ) = x²
Now , the composition of function ( g o f ) ( 5 ) is given by
The value of f ( 5 ) = 5 - 7 = -2
Now , the value of g ( -2 ) is
g ( -2 ) = ( -2 )²
g ( -2 ) = 4
Hence , the composition of function is solved and the value is given by A = ( g o f ) ( 5 ) = 4
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1
Lola created circular place mats out of fabric. If the diameter of each place mat measures 15.2
area of each place mat?
A.
181.46 square inches
B.
725.83 square inches
C.
95.5 square inches
D.
47.75 square inches
Reset
Submit
Answer: 181.46 square inches
Step-by-step explanation:
Area = pi ˣ r squared
Since the radius (half of diameter) is 7.6 inches, then it should equal to 181.46 square inches.
Factor::
x^2+8x-20
thank youuu
Answer:
[tex](x+10)(x-2)[/tex]
Step-by-step explanation:
[tex]x^2+8x-20=\\\\(x+10)(x-2)[/tex]
You can confirm this by working backwards, expanding:
[tex](x+10)(x-2)=\\\\x^2+10x-2x-20=\\\\x^2+8x-20[/tex]
Hope this helps!
PLz help right answers only will give brainliest!!!!
Answer:
-48
Step-by-step explanation:
First You put The question in Order
HOPE THIS HELP
STAY SAFE:)
14. Compare the graph below to the function
Answer:
Option (2)
Step-by-step explanation:
Parent function has been given as,
f(x) = [tex]\sqrt{x}[/tex]
When translated by 3 units left,
f(x + 3) = [tex]\sqrt{(x+3)}[/tex]
g(x) = [tex]\sqrt{(x+3)}[/tex]
If the translated function is stretched vertically by a scale factor = k
New function will be,
g'(x) = [tex]k\sqrt{(x+3)}[/tex]
Since a point (1, 4) passes lies on the transformed function.
g'(1) = [tex]k\sqrt{(1+3)}[/tex]
4 = 2k
k = 2
Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.
Option (2) will be the answer.
A thousand dollars is left in a credit union drawing 7% compounded monthly.
What is the balance at the end of 10 years?
Please show the work to answer compound interest work
Answer: $2009.66
Step-by-step explanation:
A = P(1 + r/n)^nt
The balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
A thousand dollars is left in a credit union drawing 7% compounded monthly. The balance at the end of 10 years has to be find out.
Here the data given are,
Principal amount $1000.The rate of interest is 7%.Time period is 10 years.The number of month in a year is 12.Put these values in the above formula as,
[tex]A=1000\times\left(1+\dfrac{7}{12\times100}\right)^{12\times10}\\A=2009.66[/tex]
Thus, the balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66
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All rectangles are parallelograms. True or False.
Answer:
I agree
Step-by-step explanation:
Some rectangles aren't parallelograms
find the area of the shaded part of the figure below
Answer:
70
Step-by-step explanation:
Answer:
70 cm^2
Step-by-step explanation:
Multiply (20x8)/2 to find the area of the triangle. Then subtract the area of the rectangle(10 cm^2) from the area of the triangle to get your final answer.
CAN SOMEONE PLEASE HELP ME OUT PLEASE I WOULD APPRECIATE IT VERY MUCH
Answer:Decreasing
Step-by-step explanation:
Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .
-4|x|=-12 solve the equation
Answer:
-4|x| = -12
|x| = 3
x = 3, x = -3
Answer:
x=3, x=-3
Step-by-step explanation:
-4|x|=-12
Divide each side by -4
-4/-4|x|=-12/-4
|x|=3
There are two solutions to an absolute value one positive and one negative
x=3, x=-3
Which is the most efficient way to solve this equation?
8=48
Add 8
8 to both sides of the equation.
Divide both sides of the equation by 48
Divide both sides of the equation by 8
Nothing. The equation is already solved
Don't guess please :(
Mariam is putting a shed in her garden and needs to build the
base
The shed has a rectangular base so the base will need to be a
rectangular prism.
The base will need to be 30cm deep, 1.9m long and 1.6m wide.
Calculate the volume of the foundations in m'
Concrete is a mix of different things. Aggregate, cement and wa
The ratio of these is 7:2:1
Calculate the volume of each element required
Answer:
The volume of the base is 91.2 m^2.
The volume for aggregate, cement, and wa(?) is 63.84 m^2, 18.24 m^2, and 9.12 m^2 respectively.
Step-by-step explanation:
How to check if a binomial is a difference of squares ?
Factor the quadratic expression completely: 15x^2 - 4x -4
WHY IS THIS SO HARD !!!!!
Step-by-step explanation:
We can rewrite as 15x² + 6x - 10x - 4. The first two and last two terms have common factors so this turns into 3x (5x + 2) - 2 (5x + 2). This will then become (5x + 2)(3x - 2).
Answer:
(-2 + -5x)(2 + -3x)
Simplifying
15x2 + -4x + -4
Reorder the terms:
-4 + -4x + 15x2
Factor a trinomial.
(-2 + -5x)(2 + -3x)
Final result:
(-2 + -5x)(2 + -3x)
Can i get Brainlest??? Plzzz :D
I need help please thanks
Answer:
1/6
Step-by-step explanation:
A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
185 m
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Answer:
C =31.4 inches
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14 * 5
C =31.4 inches
________________________________
Solution,
Radius(r)=5 inches
Circumference of the circle=?
Now,
Circumference of circle= 2 pi r
=2*3.14.5
=31.4 inches.
Hope it helps...
Good luck on your assignment
_______________________________
Write y = 2/3 x+ 7 in standard form using integers.
Answer:
Step-by-step explanation:
y=2/3 x+7
multiply by 3
3y=2x+21
2x-3y+21=0
or 2x-3y=-21
Write the equation of the line with the following characteristics.
a)Parallel to y=7x+2 through the point (0,0)
b)Slope of 2 through the point (0,−3)
c)A horizontal line through the point (0,3)
d)A vertical line through the point (−2,0)
PLZZZZ HELP VERY URGENT
Answer:
y = 7x
y = 2x -3
y = 3
x = -2
Step-by-step explanation:
Slope-intercept form: y= mx+bParallel lines have same slopea)Parallel to y=7x+2 through the point (0,0)
This line will have a form:
y= 7x + bConsidering the given point of (0,0), to find the value of b:
0= 7*0+b ⇒ b =0The line is:
y = 7xb)Slope of 2 through the point (0,−3)
Solving as above:
y= 2x + b-3 = 2*0 + b ⇒ b = -3y = 2x -3c)A horizontal line through the point (0,3)
A horizontal line will have constant value for y for any value of x:
y = 3d)A vertical line through the point (−2,0)
A vertical line will have constant value of x for any value of y:
x= -2The triangular park shown below is going to be surrounded by a fence the dimensions of the park are given in feet. How many feet of fencing will be needed to surround the entire park
Answer:
its 65
Step-by-step explanation:
What is 100 - 50= ?
Then whatever answer you get divide it by 5
Finally you divide it by 10 what do you get for your answer
Step-by-step explanation:
100-50=50
50/5=10
10/10=1 and
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What is the surface area of the figure?
A. 12cm
B. 24cm
C. 28cm
D. 42 cm
Answer:
B: 24 cm
Step-by-step explanation:
The triangle is ((4*3)/2). The squares are 12 (3*4) and 6 (1.5*4)
Answer:
24 cm^2
Step-by-step explanation:
We can find the area of the figure, surface area is for three dimensional figures
The area of the triangle is
A = 1/2 bh
A = 1/2 (3) *4 = 6
The area of the top rectangle is
A = l*w = 3 * (8-4) = 3* 4 = 12
And the area of the bottom rectangle
A = l*w = 1.5 ( 8-4) = 1.5*4 =6
The total area is the sum of the individual areas
6+12+6 = 24
24 cm^2
Solve this inequality.
7x + 2 > 30
A.x 224
B.x > 196
C.x 4
D.x > 3
Answer:
x > 4
Step-by-step explanation:
7x + 2 > 30
Subtract 2 from each side
7x + 2-2 > 30-2
7x > 28
Divide each side by 7
7x/7 > 28/7
x > 4
Answer:
it is c
Step-by-step explanation:
Which equation matches these solutions? x = 5, -7
Group of answer choices
(x + 5)(x + 7)=0
(x + 5)(x - 7)=0
(x - 5)(x + 7)=0
(x - 5)(x - 7)=0
PLEASE HELP! ITS DUE TODAAY!
Answer:
center
Step-by-step explanation:
Can I have a thanks, 5 star, brainliest and tell me if right?
Answer:
The answer is option b
Center.
What is the sum of 3 times a number and 2
Answer:
3x+2
Step-by-step explanation:
I believe you asked for the equation
To find the height of a pole, a surveyor moves 180 feet away from the base of the pole and then, with his eyes (4 feet above the ground), measures the angle of elevation to the top of the pole to be 44 degrees. Draw a picture and label a diagram to represent this situation. What is the height of the pole? Show your work.
Answer:
177.82397947 ft
Step-by-step explanation:
to find height of of the pole:
tan(44 degrees)=x/180
add the height of the person
x=(180tan(44 degrees) )+4
x=177.82397947 ft
now, round to what point you need to
There are 615 people in a population. Is 55 people enough for a sample?
ANSWER ASAP
Answer: Yes
if the selection is randomly picked and it's within the statistical population.
Step-by-step explanation:
Sampling is the random selection of objects within the statistical data or population.
This random selected individual will represent the whole population.
If there are 615 people in a population, 55 people will be enough for a sample if the selection is randomly picked and it's within the statistical population.
A serving tray is in the shape of a rectangular prism without a top. The dimensions of the tray are 8 inches by 10 inches by 2 inches. What is the surface area of the tray?
A: 152 square inches
B: 212 square inches
C: 216 square inches
D: 232 square inches
Answer:
it's a 152
Step-by-step explanation:
The surface area of the rectangular prism is S = 232 inches²
What is the surface area of the prism?The surface area of the prism is calculated as
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
The area of the triangular prism is A = ph + ( 1/2 ) bh
Given data ,
A serving tray is in the shape of a rectangular prism without a top.
And , dimensions of the tray are 8 inches by 10 inches by 2 inches.
So , surface area A = 2(80) + 2(16) + 2(20)
A = 160 + 32 + 40
A = 232 square inches
Hence , the surface area is 232 inches²
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This tennis ball has an diameter of 2.7 inches. What is the volume of this tennis ball? Use 3.14 for π and round your answer to a whole number.
Answer:
V = 10 in^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We have the diameter
r = d/2 = 2.7/2 =1.35
V = 4/3 ( 3.14) (1.35)^3
V =10.30077
Rounding to the nearest whole number
V = 10 in^3
Answer:
10 in^3
Step-by-step explanation:
marking city is 5 inches away from jamming city on the map what is the actual distance between those two cities
Answer: 50 miles
Step-by-step explanation:
On maps one inch is a mile
The midpoint of the coordinates (7,9) and (12,11) is ______.
A. (9.5, 10)
B. (13, 12)
C. (19, 20)
D. none of the above
Answer:
The answer is option a.
Step-by-step explanation:
=(7+12/2 , 9+11/2)
=(19/2, 20/2)
= ( 9.5 , 10)
Hope this helps.