Answer:
b = -1
Step-by-step explanation:
-7+b= -8
Add 7 to each side
-7+7+b= -8+7
b = -1
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x
h(g(f(x))) =
I have the answers already but I really don't understand so I'm primarily in this for the explanation and work please!
Thank you <3
Answer:
h(g(f(x))) = -8x² - 40x - 50Step-by-step explanation:
Given:
f(x) = 2x + 5 g(x) = x²h(x) = -2xTo find h(g(f(x))) first find g(f(x)), substitute x with f(x):
g(f(x)) = g(2x + 5)Since g(x) = x², the value of g(2x + 5) is:
g(f(x)) = (2x + 5)²Now, the next step:
h(g(f(x))) = h((2x + 5)²) = -2(2x + 5)² = -8x² - 40x - 50The Piersons have paid $75 to enroll their son Fred at preschool. They will pay $152 a month in fees. Write and solve an equation to work out how many months it will take for the total bill to reach $683.
Answer: 4 months
Step-by-step explanation:
$75 + $152X = 683
That's the equation you need to set up, with X being the number of months.
To solve, first subtract 75 from both sides.
$152x = 608
Then, divide each side by 152
X = 4
The answer is 4 months.
Given the expression-1/2(4x-6) +2 (x2-5x+5) complete the instructions below
A)Simplify the expression
B) identify the terms , factors , coefficients and constants of the simpler expressions
Terms
Factors
Coefficients
Constants
Please help I’ll give you more points !
Answer:
A) - 4x + 7
B) terms: 2x,-3,4x,-10x,10
Coefficients: 2,4,- 10
Constants: -3, and 10
Step-by-step explanation:
1/2(4x-6)+2(2x-5x+5)
2x-3+4x-10x+10 =
-4x+7
Solve the equation m2=14
Answer:
m=7
Step-by-step explanation:
divide by both sides by 2 then you will remain with m is the equal to 7
Answer:
7
Step-by-step explanation:
2m = 14
=> m = 14/2
=> m=7
x+y+z+4-2√(x-2)-4√(y-3)-6√(z-5)=0
Answer:
Step-by-step explanation:
Please help thank youu
Answer:
true
Step-by-step explanation:
7(-5)(x)+1 1+(x)(-5)7
= -35x+1 = 1+(-35x)
= 1-35x = 1-35x
So, the expressions are equivalent.
2.72135… rational or irrational
Answer:
rational as it can be in form b/q
8(5x+ 2) = 296 how to solve this
Answer:
x = 7
Step-by-step explanation:
8(5x + 2) = 296
40x + 16 = 296
40x = 280
x = 7
Answer:
x=7
Step-by-step explanation:
➼Okay, so first thing you need to do is to distribute the 8 to everything in the parentheses:
8(5x+ 2) = 296
8 times 5x
8 times 2
(8 x 5x) + (8 x 2) = 40x + 16
➼Now you solve for x
40x+16=296
➼to get rid of 40 you have to do the opposite and divide it by everything
40x+16=296
40/40=0
16/40=0.4
296/40=7.4
➼all adds up to x + .4 = 7.4 but to get the x alone you need to get rid of the .4, we'll do this by doing the opposite and subtract it from everything
.4-.4=0
7.4-.4=7
➼so in conclusion
x=7
Which statements regarding triangle DEF are correct? Select three options.
Answer:
the awnser of this question is 3,5,8
Given f(x) = 3x + 7 and g(x) = 3x, find (f - g)(x).
Answer:
Step-by-step explanation:
(f-g)(x) = f(x)- g(x)
= (3x + 7) - (3x)
= 7
Therefore (f-g)(x) = 7
Answer:
(f - g)(x) = 7
Step-by-step explanation:
Here, we should subtract the two functions:
f(x) = 3x + 7 and g(x) = 3x
(f - g)(x) = 3x + 7 - 3x
= 3x - 3x + 7
= 7
Hence, (f - g)(x) = 7
Help math ............
Step by step!
I need to know how to do this because I’m pretty sure I’m doing this wrong.
Answer:
150
Step-by-step explanation:
The overall answer should equal 360. 90+90+30=210. That leaves us with x. Try subtracting 360-210=x. :) Hope this helps!
solve this equation
-3.3m= -1.1
m=
Answer:
m = 1/3
Step-by-step explanation:
-3.3m = -1.1
(-3.3/-1.1)m = (-1.1/-1.1)
3m=1
3m/3 = 1/3
m = 1/3
Answer:
Step-by-step explanation:
1/3
what is the quotient for 68.32 / 2/8
S(-4, -6) and T(-7, -3); Find R.
Answer:
(13,-6)
Step-by-step explanation:
The midpoint is the exact halfway point, so all you need to do is find the distance between those two points and apply it again.
First find the x coordinate. The distance from -9 to 2 is 11. So you add 11 to 2, and you get 13, which is your x coordinate.
Then do the same thing with the y coordinate. And you get -6.
Your endpoint is (13,-6)
What is the distance between these two points?
Solve for x Enter your answer, as one inequality,in the box
Answer:
x= (1,8)
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3≤ 6x - 9 Add 9 to both sides
-3 + 9 ≤ 6x Combine left
6 ≤ 6x Divide by 6
6/6 ≤ 6x/6
1 ≤ x
6x - 9 < 39 Add 9 to both sides
6x < 39 + 9 Combine
6x < 48 Divide by 6
6x/6 < 48/6
x < 8
So the inequality is
1 ≤ x < 8
I think that is what you want. You have to express it as a combined inequality.
PLEASE PLEAE PLEASE HELP
Teresa received a $90 gift card for a coffee store. She used it in buying some coffee that cost $7.58 per pound. After buying the coffee, she had $59.68 left on her card. How many pounds of coffee did she buy?
Solve the inequality for u.
7u - 32< - 3(6-3u)
Simplify your answer as much as possible.
Answer:
u > - 7
Step-by-step explanation:
7u - 32 < - 3(6-3u)
7u - 32 < - 18 + 9u
18-32 < - 7u + 9u
-14 < 2u
2u > - 14
u > - 7
Answer:The solution is in the attached file below
Step-by-step explanation:
X+2/x-3 + x-3/x+2 = 5/2
Answer:
[tex]x_{1} =\frac{-17- \sqrt{129}}{2}, x_{2} =\frac{-17+ \sqrt{129}}{2} [/tex]
Step-by-step explanation:
[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} = \frac{5}{2} [/tex]
[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} = \frac{5}{2} [/tex]
[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} - \frac{5}{2} = 0[/tex]
[tex] \frac{2(x + 2 {)}^{2} + 2(x + 3) \times (x - 3) - 5(x + 3) \times (x + 2) }{2(x + 3) \times (x + 2)} = 0[/tex]
[tex] \frac{2(x + 2 {)}^{2} + 2( {x}^{2} - 9) + ( - 15x - 15) \times (x + 2) }{2(x + 3) \times (x + 2)} = 0 [/tex]
[tex] \frac{2( {x}^{2} + 4x + 4) - 3 {x}^{2} - 48 - 25x}{2(x + 3) \times (x + 2)} = 0[/tex]
[tex] \frac{2 {x}^{2} + 8x + 8 - 3 {x}^{2} - 48 - 25x }{2(x + 3) \times (x + 2)} = 0[/tex]
[tex] \frac{ - {x}^{2} - 17x - 40 }{2(x + 3) \times (x + 2)} = 0[/tex]
[tex] {x}^{2} + 17x + 40 = 0[/tex]
[tex]x = \frac{ - 17± \sqrt{ {17}^{2} - 4 \times 1 \times 40 } }{2 \times 1} [/tex]
[tex]x = \frac{ - 17± \sqrt{289 - 160} }{2} [/tex]
[tex]x = \frac{ - 17± \sqrt{129} }{2} [/tex]
[tex]x_{1} =\frac{-17- \sqrt{129}}{2}, x_{2} =\frac{-17+ \sqrt{129}}{2} [/tex]
In the equation y=5x-4, what is the value of y when x is greater or equal to 1
Answer:
y ≥1
Step-by-step explanation:
y=5x-4
Let x ≥ 1
y ≥ 5(1)-4
y ≥ 5-4
y ≥ 1
Answer:
[tex]herey = 5x - 4 \\ \\ given \: that \: x \geqslant 1 \\ so \: y \geqslant 5 \times 1 - 4 \\ y \geqslant 1 \\ thank \: you[/tex]
Consider this sequence of transformations performed on shape I: a dilation by a scale factor of 2, followed by a reflection across the x-axis, and then a translation left 1 unit. Does the sequence prove that shapes I and IV are similar? Explain your answer.
Answer:
The sequence does map shape I onto shape IV. So, the sequence of transformations proves the two shapes are similar.
Step-by-step explanation:
To check whether the sequence proves that shape I is similar to shape IV, check whether the given sequence of transformations maps shape I onto shape IV.
1. Dilate shape I by a scale factor of 2.
2. Then, reflect the dilated shape across the x-axis.
3. Finally, translate the reflected shape 1 unit left.
Answer:
The sequence does map shape I onto shape IV. So, the sequence of transformations proves the two shapes are similar.
Step-by-step explanation:
To check whether the sequence proves that shape I is similar to shape IV, check whether the given sequence of transformations maps shape I onto shape IV.
1. Dilate shape I by a scale factor of 2.
2. Then, reflect the dilated shape across the x-axis.
3. Finally, translate the reflected shape 1 unit left.
hi help and explain pls
We want to factor the following expression:
[tex](x - 5)^{2} + 2y^{3}(x - 5) + y^{6} [/tex]
We can factor the expression as (U+V)^2 where U and V are either constant integers or single-variable expressions.
photo:
1) What are U and V?
2) Factor the expression.
Step-by-step explanation:
U = (x - 5)
V = y^3
because we follow the rule
(U+V)^2 = U^2 + 2UV + V^2
factor the expression will be
[tex]((x - 5) + {y}^{3} )((x - 5) + {y}^{3} )[/tex]
A scale drawing of a school bus has a scale of 2 inches to 5 feet if the length of the school bus is 16 inches on the scale drawing what is the actual length of the bus
Answer:
40 feet
Step-by-step explanation:
2/5 = 16/x
2x = 80
x = 40
Find the slope from the table:
Profit is always calculated as revenue minus expenses. If a company's expenses were $10 million, write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars). Then, determine the profit when revenue is $25 million.
a. P= 10-R; $15 million
b. P=R-10; $15 million
c. P=R-10; $35 million
d. P=10-R$35 million
Please select the best answer from the choices provided
Answer: B
Step-by-step explanation:
P=R-$10MM
P = ($25MM)-$10MM
P = $15MM
Help!! Will give Brainiest
Answer:
add all the rest of the angles, and then subtract the sum from 1080, and that's your ans mate
Answer:
147
Step-by-step explanation:
If you add up all the angles you have, you get 933. Since an octagon has 1080 degree angles the last angle must be added to 933 to make it equal to 1080. If you subtract 933 from 1080, you get the remaining angle 147.
URGENT PLS HELP DONT TAKE ADVANTAGE OF THE BIG AMOUNT OF POINTS PLS!!!!!! you only have to do 14, 16 and 18
Answer:
14) y=x-3
domain , range
12,9
15,12
22,19
30,27
16) y=3x+4
domain , range
0,4
5,19
7,25
10,34
18)2/3x + 1/3
domain , range
4,3
6, 13/3
8, 17/3
12, 37/3
Step-by-step explanation:
pls answer this i need help
Answer:
Step-by-step explanation:
a) Number = x
Multiply it by 3 = 3*x = 3x
Now add 4 to it: 3x + 4
Equation:
3x +4 = 22
b)
3x + 4 = 22
Subtract 4 from both sides
3x + 4 -4 = 22 - 4
3x = 18
Divide both sides by 3
3x/3 = 18/3
x = 6
Answer:
Below in bold.
Step-by-step explanation:
The equation is
3x + 4 = 22
3x = 22 - 4 = 18
x = 18/3
x = 6.
use the second question
Answer:
एगगतुजवषषहजजतददबुतचजोजचउतहनुुचचहह