Given f(x)=4x2+19x−5 and g(x)=4x2−x. What is (fg)(x)?
Answers
Answer:
[tex] \boxed{(fg)(x) = 16 {x}^{4} + 72 {x}^{3} - 39 {x}^{2} + 5x} [/tex]
Given:
[tex]f(x) = 4{x}^{2} + 19x - 5 \\ \\ g(x) = {4x}^{2} - x[/tex]
To Find:
[tex] (fg)(x) = f(x) \times g(x)[/tex]
Step-by-step explanation:
[tex] = > f(x) \times g(x) = (4 {x}^{2} + 19x - 5)( {4x}^{2} - x ) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 {x}^{2} (4 {x}^{2} - x) + 19x(4 {x}^{2} - x) - 5(4 {x}^{2} - x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =16 {x}^{4} - 4 {x}^{3} + 76 {x}^{3} - 19 {x}^{2} - 20 {x}^{2} + 5x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =16 {x}^{4} + 72 {x}^{3} - 39 {x}^{2} + 5x[/tex]
Answer:
Step-by-step explanation:
Related Questions
See attachment and answer please‼️
Answers
Answer:
6/15
Step-by-step explanation:
Answer:
6/15
Step-by-step explanation:
pls help this is due in 10 minutes
Answers
Answer:
3. 16 2/3
Step-by-step explanation:
i hope this helps
0.5 x 8 x 4 1/6 = 50/3 = 16 2/3 sqft
4 1/6 = 25/6
Find they y-intercept
Slope
And the equation
Answers
when talking about y-intercept, you are finding where x = 0, and when finding the x-intercept, you are finding where y = 0.
Here, the y-intercept is -3 (look where x is 0)
Slope:
To find the slope, take any 2 points and use the equation:
Y2 - Y1
————— = m; m is the slope.
X2 - X1
As an example, I will take (1, -1) and (2, 1).
Y2 = 1
Y1 = -1
X2 = 2
X1 = 1
1 - (-1) 1+ 1
————— = ————— = 2/1 = 2
2 - 1 1
2 is the slope.
Or, observe how y always increases by 2 for every x (rise/run)
Equation:
Now, since we found the slope (2) and the y intercept, simply plug in the numbers into the linear equation form (y = mx + b). You should know that m means the slope and b means the y intercept. Meaning the equation is...
y = 2x - 3
Hope it helped :)
A section in a stained glass window is shaped like a trapezoid. The top base is 2 centimeters and the bottom base is 2.5 centimeters long. If the area of the section of glass is 9.9 square centimeters, how tall is the section?
Answers
Answer:
[tex]4.4cm[/tex]
Step-by-step explanation:
[tex]area \\ 9.9 = \frac{1}{2} \times (a + b) \times h \\ 9.9 = \frac{1}{2} \times (2 + 2.5) \times h \\ 9.9 = \frac{1}{2} \times 4.5 \times h \\ 9.9 = \frac{4.5h}{2} \\ 9.9 = 2.25h \\ \frac{9.9}{2.25} = \frac{2.25h}{2.25} \\ h = 4.4 \: \: cm[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
So the right answer is 4.4 cm
Look at the attached picture
Hope it will help you
Good luck on your assignment
I need help what’s the answer
Answers
Answer:
y intercept is -2
y = x-2
Step-by-step explanation:
The y intercept is -2 because that is where it crosses they y axis
We have another point (2,0) and (0,-2)
we can find the slope
m = (y2-y1)/(x2-x1)
= (-2-0)/(0-2)
= -2/-2
= 1
The slope is 1
We can write the equation in slope intercept from
y = mx+b
where m is the slope and b is the y intercept
y = 1x-2
y = x-2
Find the value of the unknown angle.
25
30
43
80
Answers
Answer:
It is 30°
Step-by-step explanation:
Putting the formula exterior angle of a triangle = the sum of 2 interior angles of a triangle.
let the angle be x;
Therefore,
80°+x = 110°
x = ( 110 - 80 )°
x = 30°
what is
y= -4/7x + 2 in
standard form
using integers
Answers
Answer:
4x + 7y = 14
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y = - [tex]\frac{4}{7}[/tex] x + 2 ( multiply through by 7 to clear the fraction )
7y = - 4x + 14 ( add 4x to both sides )
4x + 7y = 14 ← in standard form
What is the area of the figure? 234 in.2 n 252 in.2 225 in.2 315 in.2
Answers
Answer: 4.179357e+9
U should add the picture next time so I could understand better if my answer was wrong.
Step-by-step explanation:
the_area_of_a_rectangle_is_252_square_feet_if_the_perimeter_is_66_feet_find_the_length_and_width_of_a_rectangleanswer-
Answer:252 in2
Step-by-step explanation:
I-Ready sucks, but this one's EZ
. The product of eight and five divided by four
Answers
Step-by-step explanation:
the product is basically multiplication
5 multiply by 8 is 40 and 40 divide by 4 is 10 so therefore the answer is 10
ALWAYS remember product is multiplication.
Answer:
10
Step-by-step explanation:
(8 times 5) divided by 4
40 divided by 4
10
hurry will give brainliest!!
Answers
Answer:
whats the question?
Step-by-step explanation:
heh?
The price of an item yesterday was
$
135
. Today, the price rose to
$
189
. Find the percentage increase.
Answers
step-by-step explanation: the increase = 204 - 120
increase = 84
percent increase = 84/120
percent increase = 70% so of course the percentage is 70% ( I hope this helps you )
An adult gorilla will eat about 5,425 pounds of food in a 31-day month. What is the average amount a gorilla will eat every day?
Answers
Answer:
175
Step-by-step explanation:
Answer:
An adult gorilla is capable of consuming 18 to 20 kilograms of food everyday.
Step-by-step explanation:
Raoul bought 9 bags of granola mix. Each bag cost $5.59.
How much did Raoul spend?
Answers
Answer:
$50.31
Step-by-step explanation:
9x5.59=50.31
An easy way to do it is take out the decimals and multiply. Then add the decimals by seeing how many places in 5.59 (2) and move the decimal 2 times on your answer.
Answer:
50.31
Step-by-step explanation:
Hope This helps
1.2,3,7.5,18.75 which formula can used to describe the sequence?
Answers
Answer:
[tex]a_n=1.2 \cdot 2.5^{n-1}[/tex]
Step-by-step explanation:
The first step is to realize that this is a geometric sequence, where each next term in the sequence is 2.5 times larger than the previous. You can confirm this by the fact that 3=1.2*2.5, 7.5=3*2.5, and 18.75=7.5*2.5. Now, you can write the formula, where n is where the number is in the sequence, and a is the number itself. Since 1.2 is the first term in the sequence and the rate of expansion is 2.5, the formula is:
[tex]a_n=1.2 \cdot 2.5^{n-1}[/tex]
Hope this helps!
Answer:
f(x)=[tex]1.2(2.5)^{x-1}[/tex]
Step-by-step explanation:
find the center and radius of the circle with equation (x-7)2+(y-5)2=4
Answers
Answer:
The center is (7,5) and the radius is 2
Step-by-step explanation:
We can write the equation of a circle as
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-7)^2+(y-5)^2=2^2
The center is (7,5) and the radius is 2
Evaluate the expression:
2^{4} ×4-\frac{2}{8}[
Plz answer
Answers
Answer:
63.75
Step-by-step explanation:
2^4=16
16x4=64
64-2/8=63.75
because 2/8 can be reduced to 1/4 and 1/4 in decimal form is 0.25.
Perform the indicated operation (8-15i) plus (-3+2i)
Answers
Answer:
5-13i
Step-by-step explanation:
8-15i-3+2i
5-13i
An angle measures 120 degrees. Describe how to use special right triangles and the unit circle as tools to calculate the sine and cosine of this angle.
Answers
Answer:
120 degrees is the right angle and the 30 degree added which is 1/3 here we know as we can always divide a side measure by 90 then multiply by a second angle to find the hypotenuse. When we do this we are using a three way system just like a three way system appears when we use a right angle triangle and read the functions.
Step-by-step explanation:
Please answer CORRECTLY !!!!!!! WILL MARK BRAINLIEST !!!!!!!!
Answers
Answer:
f(x)= [tex]-\frac{5}{4}x+2[/tex]
Step-by-step explanation:
Which equation is the inverse of y= 9^2 - 4?
Answers
Answer:
kkjkkji888778
Step-by-step explanation:
x = 9y^2 - 4
x + 4 = 9y^2
(x+4)/9 = y^2
plus or minus
\sqrt{((x + 4) \div 9} = y
The bottom of a boat lies 7 feet below the surface of the water the boat stands 18 feet above the surface of the water,
Which expression can be used to find the difference between the two values?
07.18
18 (7)
18-7
7- (18)
Answers
Answer:
18-7 because the difference is the answer to a subtraction problem
Which inequality could represent the graph shown?
a. 2x - 6 < - 12
b. 6x> 5x +3
c. -5x + 6 < 21
d. 6x> 10x + 12
Answers
The Pic. Shows it. Please show the steps.
Will MARK BRAINLIEST
Answers
Answer: There is no picture!!??
Step-by-step explanation:
Answer:
where is the pic?
Step-by-step explanation:
Please help i will give brainliest, thanks and more points
THESE QUESTIONS ARE FOR THE SHAPE IN THE PICTURE!
1) how many edges does it have
2) how many vertices does it have
Answers
Answer:
Edges: 2
Vertices: 0
Step-by-step explanation:
Answer: it has 2 edges and no vertices (no corners)
Convert the rectangular equation x^2 + y^2 = 2y to polar form
a) r= 4 sin theta
b) r= 2 cos theta
c) r= 2 sin theta
d) r= 2 sec theta
Answers
Answer:
c) r= 2sin θ
Step-by-step explanation:
Remember, [tex]r=\sqrt{x^2+y^2} \\[/tex]
therefore,[tex]r^2=x^2+y^2[/tex]
Also y= rsin θ
Given rectangular equation:
x²+y²+ 2y
r²= 2(rsin θ)
r²= 2rsin θ
dividing r from both sides
r= 2sin θ
Answer:
b on edge 2022
Step-by-step explanation:
Solve the equation 8.88 = 4.44(x − 7)
Answers
Answer & Step-by-step explanation:
8.88 = 4.44(x - 7)
Distribute 4.44 to (x -7).
8.88 = 4.44x - 31.08
Add 31.08 on both sides of the equation.
39.96 = 4.44x
Divide 4.44 on both sides of the equation.
9 = x
So, the value of x is equal to 9.
Answer:
x = 9
Step-by-step explanation:
Multiply the parentheses by 4.44
8.88 = 4.44(x-7)
-
Move the terms
8.88 = 4.44x - 31.08
-
Calculate
14.44x = -31.08 - 8.88
-
Divide both sides by -4.44
14.44x = 39.96
-
Solution
x = 9
Sam and Rachel both walk dogs in their neighborhood. Sam charges $15 per walk, plus
an hourly rate of $6.50. Rachel does not charge an initial fee, but charges $12 per hour.
Write an expression to represent how many hours they spend with one dog to make the
same amount of money.
Answers
Answer:
Call of duty. warzone=free
Step-by-step explanation:
you go ps store, you search warzone you click download then you wait how many hours. Then you play! And you dont answer this question :) :)
Find each percent
1. what percent of 140 is 28?
2. 45 is what percent of 360
3 What percent of 48 is 6
4. What percent of 65 is 29.9?
5. 14 is what percent of 80?
6. 20 is what percent of 50?
Answers
So,
the right answers:
20%
12.5%
12.5%
46%
17.5%
40%
Look at the attached picture
Hope it will help you...
Good luck on your assignment..
answer the question below
Answers
Answer:
the first option
Step-by-step explanation:
plug in (x+1) as "x"
Answer:
= sqrt( x^2+2x+5)
Step-by-step explanation:
G(x) = sqrt(x^2+4)
Replace x with x+1
G(x+1) = sqrt((x+1)^2+4)
FOIL
= sqrt( x^2 + x+x+1 +4)
Combine like terms
= sqrt( x^2+2x+5)
Paul has 57 oranges to share with Dwayne and Ashley. The number of oranges Paul gives to Dwayne is 3 more than five times the number of oranges he gives to Ashely. If Paul has no oranges left over,how many oranges does Paul give to Ashely?