Answer:
(g°f)(4) = -1296
Step-by-step explanation:
It is given that:
g(x) = -6x² - 86x - 8
f(x) = 4x - 2
First find the equation of (g°f)
(g°f) = g [ f (x) ]
(g°f) = g [ 4x-2 ]
Substitute 4x-2 for x in formula of g(x)
g(x) = -6x² - 86x - 8
g(4x-2) = -6(4x - 2)² -8(4x - 2) - 8
g(4x-2) = -6(16x² + 4 - 2(4x)(2)) - 32x + 16 - 8
g(4x-2) = -96x² - 24 +96x - 32x + 16 - 8
g(4x-2) = -96x² + 64x - 16
(g°f)(x) = -96x² + 64x - 16
Substitute x=4 into the equation:
(g°f)(4) = -96(4)² + 64(4) - 16
(g°f)(4) = -1296
The price of the box of 10 markers is $7. The price of the box of 24 markers is $14. All prices without tax, and the price of the boxes is the same.
Write an equation which tell the price Y for the number of markers X.
Answer:
Step-by-step explanation:
let x represent the number of markers.
Let y represent the cost for x boxes of markers.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (14 - 7)/(24 - 10)
m = 7/14 = 0.5
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = intercept
m = slope
To determine the intercept, we would substitute x = 24, y = 14 and m = 0.5 into y = mx + c. It becomes
14 = 0.5 × 24 + c = 12 + c
c = 14 - 12
c = 2
The equation would be
y = 0.5x + 2
y=-4x+2
y = 6.x-8
I don’t understand
Answer: (1, -2)
Step-by-step explanation:
If you think about that plot from two lines crossed each together, so I have a deal for you, that answer might be (1, -2).
Please I need your help
Answer:
249mm
Step-by-step explanation:
You find volume of the overall figure- 11 x 3 x 13= 429
Then find volumes of missing parts of overall complete figure and subtract from the overall volume....
5 x 4 x 3= 60
429-60=369
-------------------------------------
8 x 5 x 3= 120
369-120= 249
Hope this helped!! Hope you got it- please leave a rating and mark as Brainliest. Thank You :) (I really want to go to sleep right now, would have explained further, sorry)
Ten players come to baseball practice. One player stands on each of the four bases for drills. How many ways can the players be arranged on the bases?
40
210
151,200
5,040
Answer:
210
Step-by-step explanation:
Quadratic equation in standard form
x^2-9=0
Answer:
x^2 + 0x - 9 = 0
Step-by-step explanation:
x^2-9=0 is already in standard form for a quadratic. If desired it may also be rewritten as x^2 + 0x - 9 = 0
Write the equation of the function when y=xl is translated 1 unit up and 6 units to
the left?
Oa) y = |x – 6|+1
Ob) y = |x – 1| +6
Oc) y = |x+1|+6
d) y = |x+6|+1
Answer:
Option d) is correct
Step-by-step explanation:
Given: [tex]y=\left | x \right |[/tex] is translated 1 unit up and 6 units to the left
To find: equation of the function when the given function is translated 1 unit up and 6 units to the left
Solution:
See the graph of [tex]y=\left | x \right |[/tex] .
As the graph of the given function is translated 1 unit up and 6 units to the left, the graph becomes as shown in the image attached.
The equation of the function when the given function is translated 1 unit up becomes [tex]y-1=|x|[/tex] and when this function is translated 6 units to the left, the equation becomes [tex]y-1=|x+6|[/tex]
[tex]y=|x+6|+1[/tex]
So, option d) is correct.
Please answer correctly !!!!! Will mark brainliest !!!!!!!
Answer:
f(q) = 11/3q+2/3
Step-by-step explanation:
11q - 4 = 3r - 6
Solve for r
Add 6 to each side
11q - 4+6 = 3r - 6+6
11q +2 = 3r
Divide each side by 3
11q/3 + 2/3 = 3r/3
11/3q + 2/3 = r
f(q) = 11/3q+2/3
A prism with a square base has a volume of 96 ft3. The height of the unit is 6 feet.
A prism has a length of l, width of 2, and height of 6 feet.
Given what you know about the figure, complete these sentences.
The area of the square base is feet2.
The length of the prism is feet.
The width of the prism is feet.
Answer:
The area of the base is 16 ft^2
The length of the prism is 4 feet.
The width of the prism is 4 feet.
Step-by-step explanation:
The formula for volume of a prism is given by
V=Bh where B is the area of the base and h is the height
96 = B h
We know h is 6
96 = B6
Divide each side by 6
16 = B
The area of the base is 16 ft^2
Since the base is a square
B =16ft^2
since it is a square, the area is given by
B =s^2 where s is the side length
16 =s ^2
Taking the square root
4 = s
The length of the prism is 4 feet.
The width of the prism is 4 feet.
Answer:
1. square base = A = 16 ft² (Base area of square prism)
2. Length of prism = 4 ft
3. Width of prism = 4 ft
Step-by-step explanation:
given:
Volume of a square base prism (V) = 96 ft³
height (h) = 6 ft
Length (L) = L
Width (W) = W
find:
1. square base
2. Length of prism
3. Width of prism
---------------------------------
1.
Vol of prism = base area (A) x height (h)
V = A * h
96 = A * 6
A = 96 / 6
A = 16 ft² (Base area of square prism)
2.
Length of prism = A = s²
16 = s²
s = √16
s = 4 ft.
therefore the Length of a square base prism = 4 ft
3.
square base = L = W
therefore the Width of a square base prism = 4 ft
if triangle ABC = triangle EDF where the coordinates of A(-1, 1), B(2,4), and C(3,1), what is the
measure of EF?
Answer:
The measure of EF is 4 units
Step-by-step explanation:
If triangle ABC = triangle EDF where the coordinates of A(-1, 1), B(2,4), and C(3,1), what is the measure of EF?
To find the measure of EF, we will follow the steps below;
since triangle ABC = triangle EDF the coordinates of triangle ABC are A(-1, 1), B(2,4), and C(3,1), then the coordinates of triangle EDF are E(-1, 1), D(2,4), and F(3,1)
To find the measure of EF, we will use the distance formula;
|EF| = √(x₂-x₁)² + (y₂-y₁)²
E(-1, 1) F(3,1)
x₁=-1
y₁=1
x₂ =3
y₂ = 1
We can now proceed to substitute the values into the formula;
|EF| = √(3+ 1)² + (1-1)²
= √(4)² + (0)²
= √(4)²
=√16
=4
The measure of EF is 4 units
Ben works part time warehouse. his boss is going to send one employee home early.
of the 56 employees, 21 are part time. if the boss picks one employee at random, what are the chances it will be a part time employee?
Answer:
21/56 chance or 37.5% chance
Answer:
21/56
Step-by-step explanation:
Need help as soon as possible
Answer:
The answer is B, they are both true!
Step-by-step explanation:
help please
I will give the right answer brainliest ❤
Step-by-step explanation:
(log 0.04 − 2 log 0.3) / (1 − log 15)
Change 1 to log 10.
(log 0.04 − 2 log 0.3) / (log 10 − log 15)
Use log property: a log b = log bᵃ.
(log 0.04 − log 0.09) / (log 10 − log 15)
Use log property: log a − log b = log (a/b).
log (0.04/0.09) / log (10/15)
Reduce fractions.
log (4/9) / log (2/3)
Change 4/9 to (2/3)².
log ((2/3)²) / log (2/3)
Use log property: log bᵃ = a log b.
2 log (2/3) / log (2/3)
Divide.
2
PLEASE HELP I WILL AWARD BRAINLIEST LOTS OF POINTS TOO <3
When solving the equation, which is the best first step to begin to simplify the equation?
Negative 2 (x + 3) = negative 10
(negative 2) (Negative 2) (x + 3) = negative 10 (negative 2)
Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half)
StartFraction negative 2 over 2 EndFraction (x + 3) = StartFraction negative 10 over 2 EndFraction
StartFraction negative 2 over negative 10 EndFraction (x + 3) = StartFraction negative 10 over negative 10 EndFraction
Answer:
B
Step-by-step explanation:
First, divide both sides by -1/2 to remove the -2 from the left side
Then you can subtract 3 from both sides to solve for x
x=2 btw
Answer:
B
Step-by-step explanation:
Solve x-5=3x+1 what is the solution and answer thanks
Answer:
1.5
Step-by-step explanation:
A music store bought a CD set at a cost of $25. When the store sold the CD set, the percent
markup was 35%. Find the selling price.
Answer:
$33.75
Step-by-step explanation:
The selling Price is $33.75.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A music store bought a CD set at a cost of $25.
Markup Percent= 35%
Now, the Selling Price
= 25 + 25 x 35%
= 25 + 25 x 35/100
= 25 + 25 x 0.35
= 25 + 8.75
= $33.75
Hence, the selling Price is $33.75.
Learn more about Unitary Method here:
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Graph the inequality
y less than or equal 2X-4
Step-by-step explanation:
X intercept = (2, 0)
Y intercept = (0, -4)
Which of the following steps indicates the subtraction property of equality when solving the equation 3x + 14 = –9x – 8? Question 10 options: A) 3x + 14 – 14 = –9x – 8 + 8 B) 3x + 14 – 8 = –9x – 8 C) 3x + 14 – 14 = –9x – 8 – 14 D) 3x + 14 + 8 = –9x – 8 + 8
Answer:
3x + 14-14 = –9x – 8-14
Step-by-step explanation:
3x + 14 = –9x – 8
Subtract 14 from each side using the subtraction property of equality
3x + 14-14 = –9x – 8-14
Use emlimination to solve the system x-5y=20 and x+3y=-4 for x
Answer:
y=-3 , x=5
Step-by-step explanation:
x-5y=20 x-5y=20-(x+3y=-4) new -x-3y=4
x-5y=20
-8y=24
-8 -8
y=-3 x-5y=20
x-5(-3)=20
x+15=20
-15= -15
x=5
The value of x is 5 for the system of equations [tex]x-5y=20[/tex] and[tex]x+3y=-4[/tex].
The given system of equations are :
[tex]x-5y=20[/tex] ...(1)
[tex]x+3y=-4[/tex]...(2)
To solve the equation, multiply equation (2) with -1.
[tex]-x-3y=4[/tex]...(3)
Add equation (1) and (3):
[tex]x-5y-x-3y=20+4[/tex]
Combine like terms:
[tex]-8y=24[/tex]
Divide both sides by -8:
[tex]y=-3[/tex]
Now, we substitute the value of [tex]y = -3[/tex] into either of the original equations to solve for x.
[tex]x - 5(-3) = 20[/tex]
[tex]x + 15 = 20[/tex]
[tex]x = 20 - 15[/tex]
[tex]x = 5[/tex]
Therefore, the solution to the system of equations is[tex]x = 5[/tex] and [tex]y = -3.[/tex]
To learn more on Equation:
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ZDAC = ZBAD.
What is the length of AC?
Round to one decimal place.
Answer:
x = 5.7
Step-by-step explanation:
Use the Triangle-Angle-Bisector Theorem.
[tex]\frac{CD}{DB}[/tex] = [tex]\frac{AC}{AB}[/tex]
Substitute the corresponding side lengths.
[tex]\frac{2}{2.8}[/tex] = [tex]\frac{x}{8.1}[/tex]
Cross Multiply.
16.2 = 2.8x
Divide each side by 2.8.
[tex]\frac{16.2}{2.8}[/tex] = [tex]\frac{2.8x}{2.8}[/tex]
Since 2.8 cancels out 2.8x, your left with x.
Then divide 16.2 by 2.8.
x = 5.7
Please help me solve this!!!!1 ASAP
Answer:
g(x) = - sqrt(x+8) reflected about the x axis and shifted 8 units to the left
h(x) = 2 sqrt(x) +1 is stretched by 2 in the y direction and shifted up 1 in the y direction
Step-by-step explanation:
y = f(x + C) C > 0 moves it left
So we moved it 8 units to the left
y = −f(x) Reflects it about x-axis
g(x) = - sqrt(x+8) reflected about the x axis and shifted 8 units to the left
y = f(x) + C C > 0 moves it up
so we moved it up 1 units
y = Cf(x) C > 1 stretches it in the y-direction
and stretched it by 2 in the y direction
h(x) = 2 sqrt(x) +1 is stretched by 2 in the y direction and shifted up 1 in the y direction
Answer:
g(x) = - square root (x+8) reflected about the x axis and shifted 8 units to the left
h(x) = 2 square root x) +1 is enlarged by 2 in the y direction and shifted up 1 in the y direction
Step-by-step explanation: whabby not know whabby learn still.
Joe is building a fort for his little brother out of boxes. He is wondering how much room there will be inside the fort
Answer:
You have to find the volume!! Length x Width x Height
Volume would be the space inside! You did not attach a picture though nor numbers ??
Step-by-step explanation:
Answer:
Volume is the amount of space an object takes up. L*W*H=V
Step-by-step explanation:
Lucy is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges 576 and allows unlimited mileage.
Company B has an initial fee of $55 and charges an additional S0.70 for every mile driven.
For what mileages will Company A charge less than Company B?
Usem for the number of miles driven, and solve your inequality for m
Answer:
I believe the answer is
m = 10.46
Step-by-step explanation:
y = 576
y = 55m + 0.70
I could be wrong but I hope this helps!
A direct variation function contains the points (-9, -3) and (-12, -4). Which equation represents the function?
y = -3x
y=-
o ya
y = 3x
Answer:
[tex]y=\frac{1}{3} x[/tex]
Step-by-step explanation:
we need a function that when we plug the value of x, we get the given value of y.
In the coordinate point
(-9, -3)
the x and y values are:
x = -9
y = -3
so we can see that the value of y is one third of the x value (because -9/3 = -3):
[tex]y=\frac{1}{3} x[/tex]
this is also true for the secod point:
(-12, -4)
here the x and y values are:
x = -12
y = -4
again the y value is one third of the x value (because -12/3 = -4):
[tex]y=\frac{1}{3} x[/tex] ⇒ this is the equation that represents the function.
What is the equation of the line represented by the table below?
Х
-2
-1
0
1
2
Y
1.6
1.8
2
2.2
2.4
A. y = 2x +0.2
B. y = 0.2x +2
C. y = x+ 2
D. y = 2x + 2
Answer:
the answer is D
Step-by-step explanation
What is the slope of the line given by the equation y = 8X?
A. -8
B. 8
C. 1/8
D. -1/8
Answer:
B.
Step-by-step explanation:
From what I can see in the picture, the equation of the line is written in y = mx + b form, where m is the slope and b is the y-intercept.
In the picture, m = 8. This is your slope.
As such, the answer is B.
A recipe says to use 1.5 cups of flour to make 24 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x? a. 0.6 b. 3 c. 24 d. 16
Answer: 16
Step-by-step explanation:
The constant of proportionality is a ratio that exist between two directly proportional quantities. From the question, recipe says to use 1.5 cups of flour to make 24 cookies.
y = the number of cookies made
x = the number of cups of flour used
y = kx
k = y/x
k = 24/1.5
k = 16
Therefore, the constant of proportionality which relates the number of cookies made, y, to number of cups of flour used, x is 16.
Someone help me with this one pleaseeee
Answer:
4 because its not a scatter plot
Step-by-step explanation:
QUICK!!! Which question is best modeled with a division expression?
A: How many 3/8's are in 48?
B: What's 3/8 of 48?
C: What is the total of 3/8 and 48?
D: How much more than 3/8 is 48?
Answer:
A: How many 3/8's are in 48?
Step-by-step explanation:
A: How many 3/8's are in 48? how many are in means divide
B: What's 3/8 of 48? = of means multiply
C: What is the total of 3/8 and 48? total means add
D: How much more than 3/8 is 48? more than means add
Answer:
Step-by-step explanation:
It is
A is awnser
WIll give brainliest if answered correctly!!!!
Answer:
9/25
Step-by-step explanation:
Answer: A; 9/25
Step-by-step explanation:
First, you add up all the coloured t-shirts do you can find out the denominator. Then, you have the bottom number, 25. Now, you just find out the number of red t-shirts, which is 9.
So the probability of you picking a red t-shirt is 9/25
If you found this answer helpful, give it a five-star rating and a thanks! I would really appreciate it!
You can even give it a brainliest if you want! ;)
PLEASE HELP WILL GIVE BRANLIEST!!! Question is above:)
Answer:
x = 3
Step-by-step explanation:
The area of a rectangle is length*width, while for a rectangle it is the length*width over two. Now lets substitute the values given.
3(x+12) = 3x+36 = Area of rectangle
5(2x)/2 = 10x/2 = 5x = Area of triangle
We know that the area of the rectangle is 3 times the area of the triangle, so 3x + 36 = 3(5x) --> 3x+36 = 15x
This gives basic linear equation of 3x + 36 = 15x to solve. Isolate x and solve:
36 = 12x
x = 3