Answer:
(fog)(x) =x –14
(gof)(x) =x
Step-by-step explanation:
[tex](fog)(x) = f(g(x)) \\ = 8( \frac{x - 7}{8} ) - 7 \\ = x - 7 - 7 \\ = x - 14[/tex]
[tex](gof)(x) = g(f(x)) \\ = \frac{(8x - 7) + 7}{8} \\ \\ = \frac{8x}{8} \\ \\ = x[/tex]
pelase asnwer da question
Answer:
D
Step-by-step explanation:
I think its D because you multiple the number that is out of the the bracket with the numerators..
so its
a^4/b^12
What do these have in common??
Answer:
They can all be simplified to 2/3
Write a function rulle
Hey, there! Based on the table from the picture, every hour increased is $6 increased for the cost of the rental.
First hour: $10
Second hour: $16
Third hour: $22
Fourth hour: $28
So, final answer is:
+1 hour=+$6.
Anyways, I hope this helps! Enjoy your day! Take care!
√20x²•√20x
PLEASE SHOW STEP BY STEP ON HOW YOU GOT THE ANSWER
Answer:
[tex]20x\sqrt{x}[/tex]
Step-by-step explanation:
[tex]\sqrt{20x^{2} }[/tex] × [tex]\sqrt{20x}[/tex]
= [tex]\sqrt{20x^{2} * 20x }[/tex] | * = ×
=[tex]\sqrt{400x^{3} }[/tex]
=[tex]20x\sqrt{x}[/tex]
Oliver bought 8 bags of marbles.There we're 7 green and 7 blue in each bag.How many marbles did he buy in total? use the doubles strategy to show your work.
Answer:
112
Step-by-step explanation:
1 bag- Has 14 marbles in all
So if you multiply 14 times 8 total bags you get 112.
Which fraction is equivalent to 7/8 ?
A. 5/6
B. 17/18
C. 21/24
D. 49/64
Answer:
C.21/24 it is equivalent fraction to the 7/8
Step-by-step explanation:
7×3=21
8×3=24
Answer:
C
Step-by-step explanation:
If you divide both the numerator and denominator of 21/24 by 3, you will get 7/8. Therefore, 7/8 is essentially the simplified form of 21/24.
If you were able to earn interest at 3% and you started with N100, how much would you have after 3 years?
the answer
Answer: 109.27
Explanation:
N=3 I=3% pv=100 pmt =0 cpt fv
$109.27
if you do not add anything to the $100 and strictly rely on interest.
Find k such that 16x2 – 8 /3x+k=0 has a repeated real solution.
Answer:
k = [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Using the discriminant
Δ = b² - 4ac
For a repeated real solution then
b² - 4ac = 0
Given
16x² - [tex]\frac{8}{3}[/tex] x + k = 0
with a = 16, b = - [tex]\frac{8}{3}[/tex] , c = k
(- [tex]\frac{8}{3}[/tex] )² - ( 4 × 16 × k) = 0
[tex]\frac{64}{9}[/tex] - 64k = 0 ( subtract [tex]\frac{64}{9}[/tex] from both sides )
- 64k = - [tex]\frac{64}{9}[/tex] ( divide both sides by - 64 )
k = [tex]\frac{1}{9}[/tex]
solve 4x+y=24 and y=-4x+24 using substitution
Answer:
no solutions
Step-by-step explanation:
[tex]4x + y = 24 - - - (a) \\ y = - 4x + 24 - - - (b)[/tex]
substitute for y in (a) with (b):
[tex]4x + ( - 4x + 24) = 24 \\ 0x = 0[/tex]
Answer:
infinite solutions
Step-by-step explanation:
substitute y in the first equation
4x+(-4x+24)=24
4x and -4x cancel out
24/24=1
or solve for x, you should also get 1
Find two given numbers in a given ratio such that the sum of their squares is to their difference in a given ratio. Ratios being 3 : 1 and 10 : 1.
Answer: a=6 and b=2
Step-by-step explanation:
Let say A and b the 2 numbers.
[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]
Help find the measure of of the angle A,
Angle b
Angle c
Angle d
Angle e
Angle f
Angle g
Use degrees.
Answer:
160 degrees
Step-by-step explanation:
starting with the 110 degrees angle. the unnamed angle to the right of the 110 degrees is simply the complement of 110 to 180 degrees = 70 degrees.
then B is actually 180 - 90 - 70 = 20 degrees
and then A is the complementary angle of these 20 degrees to 180 degrees = 160 degrees.
(1.) Find the equation of the line passing through the points (-4,-6 ) and (-5,5).
(2.) Find the equation of the line with slope -8 that passes through the point (3, -8).
Answer:
1) y=-11x-50 2)y=-8x+16
Step-by-step explanation:
1. y=mx+b- it is the main equation for a line'
If we take the first point and use its coordinates we have -6=-4m+b
If we take the second point and use its coordinates we have 5=5m+b
These equations are simultaneous for our line because the line passes through both points
-6=-4m+b
5=-5m+b
If subtract the second one from the first equation
-6-5= -4m+b- (-5m+b)
-11= m
b= -6-44=-50
y=-11x-50
2) y=mx+b
-8=-8*3+b
b=16
y=-8x+16
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity.
(Pls Explain in Simple terms)
Answer:
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh,
Tavon has a gift card for $65 that loses $3 for each 30-day period it is not used. He has another gift card for $55 that loses $2.50 for each 30-day period it is not
used
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
a. If x is the number of 30-day periods, then the equation can be used to find the number of 30-day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation)
Answer:
a. 65 - 3 x = 55 - 2.5 x
ab. 20
b. 5
Step-by-step explanation:
The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal value, will be $10.
What is a linear equation?The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let x be the number of days and y be the value of the card.
Tavon has a gift card for $110 that loses $2.50 for each 30-day period it is not used. He has another gift card for $90 that loses $2 for each 30-day period it is not used. Then the equations will be
y = 110 - 2.5x ...1
y = 90 - 2x ...2
From equations 1 and 2, we have
110 - 2.5x = 90 - 2x
20 = 0.5x
x = 40
And the value of y will be
y = 110 - 2.5(40)
y = 110 - 100
y = $10
The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal value, will be $10.
More about the linear equation link is given below.
brainly.com/question/11897796
#SPJ2
[tex]\sqrt{x} -36 = 0[/tex] X=?
Hey there!
I believe x might be 1296.
Look at the question closely, the square root of a number minus thirty-six equals zero.
The square root of 1296 would equal 36, so, 36 - 36 = 0.
Hope this helps!
Have a wonderful day!
मच्ने costing Rs 10,000 is depreciated at 15% per annum find the value of maths in after 1 year?
Answer:
8500
Step-by-step explanation:
depreciation=10000×15%=1500
initial cost = 10000
final cost = initial cost- depreciation
=10000-1500
=8500
Find the value of x.
95
38°
X
Answer:
47
Step-by-step explanation:
x is one of the three angles of a triangle. The other two are given as 95 and 38.
Together all three have to make 180 degrees.
x + 95 + 38 = 180
x + 133 = 180
x = 180 - 133
x = 47
Answer:
47
Step-by-step explanation:
as we know that sum of a triangle is always=180°
so x+38°+95°=180
so x+133=180
and x=180-133
so x= 47
The following is the correct way to show the product for 0.386 × 6.1:
Multiplication standard algorithm of 0.386 times 6.1. There is a solid line underneath the 6.1 that yields 386. Underneath the 386 there is a plus 23160. There is a line underneath the 23160 with 2.3546 underneath it.
is it
True
False
Answer:
In my point of view It's true
Answer:Ture
Step-by-step explanation: dont have one jsut makes the most sense im a very smart 14 y/o
solve for Y: Y=6b+12ab^2 a= 4, b=6
Answer:
1764
Step-by-step explanation:
Y=6b+12ab^2
Let a = 4
b = 6
Y = 6(6) +12 (4)(6)^2
= 36 + 12 (4) (36)
= 36+1728
=1764
Answer:
[tex]\huge\boxed{\sf Y = 1764}[/tex]
Step-by-step explanation:
[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Can anyone help? Most brainiest for the correct answer!!
Explanation:
The "large cars" pie slice takes up 7% of a full circle. This means that the degree measure of this slice takes up 7% of a full 360 revolution.
7% of 360 = 0.07*360 = 25.2 degrees
This then rounds to 25 degrees
25
If you like, I can put on the solution.
evaluate the expression when b=5
Answer:
8. 10
11. 10
Step-by-step explanation:
put 5 instead of b
8. (15 - b)
= (15-5)
= (10)
11. b +b
= 5 +5
= 10
I need help as soon as possible pleaseeeeeee!!!!!!!
Calculate the derivative using implicit differentiation:
∂w /∂z,x^(5)w+w^7+wz^2+8yz=0
∂w/ ∂z= ?
Step-by-step explanation:
Given: [tex]x^5w + w^7 + wz^2 + 8yz = 0[/tex]
Taking the partial derivative of the above equation with respect to z, we get
[tex]x^5\dfrac{\partial{w}}{\partial{z}} + 7w^6\dfrac{\partial{w}}{\partial{z}} + z^2\dfrac{\partial{w}}{\partial{z}} + 2z + 8y =0[/tex]
Collecting all terms containing [tex]\frac{\partial{w}}{\partial{z}},[/tex] we get
[tex](x^5 + 7w^6 + z^2)\dfrac{\partial{w}}{\partial{z}} = -2(z + 4y)[/tex]
Then
[tex]\dfrac{\partial{w}}{\partial{z}} = \dfrac{-2(z + 4y)}{x^5 + 7w^6 + z^2}[/tex]
The derivative using implicit differentiation can be calculated and after rearranging the terms.
What is implicit differentiation?Implicit differentiation is the technique in which the derivative of y with respect to x using implicit differentiation without having to solve the supplied equation for y.
We have:
[tex]\rm x^5w+w^7+wz^2+8yz=0[/tex]
We have to find the:
= ∂w/ ∂z
[tex]\rm \dfrac{\partial }{\partial z}[\rm x^5w+w^7+wz^2+8yz=0][/tex]
[tex]\rm x^5\dfrac{\partial w}{\partial z} +7w^6\dfrac{\partial w}{\partial z}+z^2\dfrac{\partial w}{\partial z}+2z+8y=0[/tex]
After rearranging the terms:
[tex]\rm (x^5 +7w^6+z^2)\dfrac{\partial w}{\partial z}= -2(z+4y)[/tex]
[tex]\rm \dfrac{\partial w}{\partial z}= \dfrac{-2(z+4y)}{x^5 +7w^6+z^2}[/tex]
Thus, the derivative using implicit differentiation can be calculated and after rearranging the terms.
Learn more about the implicit differentiation here:
https://brainly.com/question/2292940
#SPJ2
what two numbers when multiplied makes 6 but when added equals -10
A car is traveling at a speed of 99 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 5 minutes? Do not round your answers.
Nana
mam
babudij
jdkhdkdjdi
jkejenek
iekrjekj
jejekjrkrj
ieoejkejelj
jeojrekjrkrjrl
kelekelnelne
kdkjelejeljddkk
I will give brainliest !!
Answer:
a
Step-by-step explanation:
Lindsay prepared 9 containers of fruit punch for a party. After the party, there were still 4 4/9 containers of fruit punch left. How many containers were consumed in the party?
Turn 9 into [tex]\frac{81}{9}[/tex]. Then, convert 4 [tex]\frac{4}{9}[/tex] into a improper faction ( [tex]\frac{40}{9}[/tex] ). Then, subtract
[tex]\frac{81}{9} - \frac{40}{9} = \frac{41}{9}[/tex]. Lastly, convert [tex]\frac{41}{9}[/tex] to a mixed fraction ( [tex]4\frac{4}{9}[/tex] ).
Your answer is [tex]4\frac{4}{9}[/tex].
Group discounted lift tickets were $14 for those paying with cash and $15 for those
paying with a credit card. The total paid by the group was $177.00. Three times as many
people paid with a credit card as those who paid with cash. How many people paid with
cash?
PLEASE ANSWER WITH AN EXPLANATION
Answer:
3 people
Step-by-step explanation:
Let "x" represent the number of people who payed with cash
Let "y" represent the number of people who payed with credit card
14x +15y = 177 ---------1
3x =y--------- 2
solving simultaneously,
put eqn 2 into eqn 1
14x + 15 (3x) = 177
14x + 45x = 177
59x = 177
x=3
From eqn 2 , y = 3 x
y = 3 (3)
y=9
therefore the number of people who paid with cash were 3.
Express the following as the sum of two odd primes
a) 36
b)68
c)24
d)42
Answer:
b)68
Step-by-step explanation:
i think helping you...say correct or no...
Which expression represents -8x^2+54x+140 in factored form?
A. (x-70)(-8x+2)
B. (x+1)(8x- 140
C. (x-8)(2x+70)
D. (x+2)(-8x+70)
Answer:
D. (x+2)(-8x+70)
Step-by-step explanation:
-8x^2+54x+140
Factor out -2
-2(4x^2+27x+70)
Factor
-2(x+2)(4x-35)
Option D is the same answer if we multiply -2 in the second term
(x+2) (-8x+70)