Answers
Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80
Related Questions
If f(–2) = 0, what are all the factors of the function f(x)=x3-2x2-68x-120 ? Use the Remainder Theorem.
Answers
Answer:
it would be option C) (x – 10)(x + 2)(x + 6)
Step-by-step explanation:
You have to divide x^3 -2x^2 -68x -120 by x + 2 to get x^2 - 4x -60 and then factor
The factors of the function are (x + 2)(x - 10)(x + 6).
What is a polynomial?Any expression which is formed by using constants, variables, and exponents is polynomial, it is solved with the help of mathematical operators. Polynomial is made by the parts "poly" and "nominal" here "poly" means many and "nomial" means terms.
Given f(-2) = 0
f(x) = x³ - 2x² - 68x - 120 .........(1)
one factor of function is x + 2
divide the function by x + 2
multiply x² by x +2
x²(x + 2) = x³ + 2x²
subtract the term from equation 1 we get,
x³ - 2x² - 68x - 120 - x³ - 2x²
= -4x² - 68x -120 ......(2)
now multiply -4x by x + 2
-4x(x + 2) = -4x² - 8x
subtract the term from equation 2 we get
-4x² - 68x -120 - (-4x² - 8x)
-60x - 120 ........(3)
again multiply -60 by (x + 2)
-60(x + 2) = -60x - 120
subtract from equation 3
-60x - 120 - (-60x - 120) = 0
The quotient we get from the division is,
x² - 4x - 60
here are the factors of x² - 4x - 60 = (x - 10)(x + 6)
Hence, the factors of polynomials are (x + 2)(x - 10)(x + 6).
Learn more about polynomials;
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Which two ratios show a proportional relationship?
A. 2/8 and 6/20
B. 4/6 and 15/20
C. 10/15 and 12/18
D. 15/18 and 20/25
Answers
1. What is the slope of the following equation? *
y= 3x - 3
A m=2
B m=1/2
Cm=3
Dm=-3
Answers
y=3x-3
y-3x=-3
-3x+y=-3
answer : 3x-y=3
Rani is make rice pudding. She uses 3/4 cup of white rice for every 2 cups of milk. How many cups of rice does she need when she uses 3 cups of milk? Show your work.
Answers
Answer:
10
Step-by-step explanation:
What is the cardinal number of the set containing all negative integers greater than −8?
Answers
Answer: positive 7
Step-by-step explanation:
Cardinal number of the set containing all negative integers greater than −8 is 7.
What are cardinal number?In mathematics,cardinal numbers or cardinals for short, are generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number: the number of elements in the set.
Now the given set is all negative integers greater than -8.
Let S be the set,so
S = {-7,-6,-5,-4,-3,-2,-1}
now to find the cardinality, we see that set S has 7 elements.
Cardinality of Set S is 7.
Hence, cardinal number of the set containing all negative integers greater than −8 is 7.
More about Set and Cardinality :
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Which of the following sides are congruent?
Answers
Answer:
In these two parallelograms, the sides that are same are:
ST = WX
TU = XY
UV = YZ
SV = ZW
Therefore according to the question, the correct option is
d) ST = WX
If my answer helped, please mark me as the brainliest!!
Thank You!
The Perimeter of a triangle is 90 cm. The triangle has side lengths of 2x + 5, 4x - 10, and x + 4. Find the value of x and the length of each side.
Answers
Answer:
I don't understand oof oof
Step-by-step explanation:
James is learning to type. At the end of the first month, James could type 9 words per minute. At the end of the second month of practice, James could type 18 words per minute. After another month of practice, James could type 27 words per minute. James continued to practice. At the end of five months, how many words could James type per minute?
Answers
Answer: The answer is 36. Hope you have a nice day.
There you go
what is 2819 divided by 55
Answers
Answer:
51.2545454545
Step-by-step explanation:
Answer:
51.25....
Step-by-step explanation:
Solve the following equation and determine if it has one solution, no solution, or infinitely many solutions: 3x+1−3(x−1)=4
Answers
Answer:
1/3 , only one solution
Step-by-step explanation:
3x-1 = 1-3x
3x-1 = -3x+1
6x-1 = 1
6x = 2
x = 1/3
Answer:
Infinitely many solutions.
Step-by-step explanation:
[tex]3x+1-3(x-1)=4\\\\3x+1-1-3(x-1)=4-1\\\\3x-3(x-1)=3\\\\3x-3x-3=3\\\\\boxed{3=3}[/tex]
Hope this helps.
How do I do this problem
Answers
PLEASE HELP!!!
For the quadrant in which the following point is located, determine which of the functions are positive
(5. 7)
sin
sec
cos
cot
csc
tan
Answers
Step-by-step explanation:
The given point is
(5,7)
This is a point in the first quadrant.
In this quadrant all are positve.
Derik earns $10.00 per hour. He works 35 hours per week. How much will he earn in two weeks? If he spends $50, how much will Derik have left?
Answers
Answer:
650
Step-by-step explanation:
so the way I did this was by adding how much he works per week which is 35 per week. so he works 70 hours in 2 weeks. he earns 10 dollars per hour. so 10 times 70 you get 700 but he spends 50. so 700 minus 50. you get 650. he has 650 dollars left.
6 divided by 938 long division
Answers
i rounded it to the nearest hundred thousandth because the number will keep going on forever.
Which expressions are equivalent to 2[3/4x+7]-3(1/2x-5)? Check all that apply
Answers
Answer:
B, C, E
Step-by-step explanation:
This is correct. Trust me.
Answer:B, C, E
Step-by-step explanation:
What is the square root of 4?
A. 3
B.67
C.2
D.1
Answers
2 times 2 is 4, a square root is just what multiplied by itself equals the number within the root
Answer:
C. 2
Step-by-step explanation:
Because 4/2=2
Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?
6(4a2 – 3)
6(8a2 – 9)
6a(12a – 9)
6a(18a – 12)
Answers
you would factor out just the 6 because the 18 doesn’t a a term with it like 34a2 does. then just divide normally to get ur answer 6(4a2 - 3)
Ms. Smith has 132 stickers to give to her students. She has 25 students. If she gives the same number of stickers to each of her students, how many stickers will she have left over? *
Answers
Answer: 7
To find the remaining amount, we must multiply up to 132.
25 x 5 = 125
Subtract 125 from 132.
132 - 125 = 7
Answer = 7
The number of stickers Ms. Smith has leftover is 7.
Ms. Smith has 132 stickers and 25 students. She gives each student the same number of stickers. In order to determine the number of stickers she would have left, the number of stickers each student got has to be determined first. The stickers each student got can be determined by dividing the total number of stickers by the total number of stickers.
Total number of stickers each student got = total number of stickers / total number of students
132 / 25 = 5 (to the nearest whole number).
The total number of stickers distributed.
5 x 25 = 125.
The total amount of stickers left = 132 - 125 = 7 stickers.
A similar question was answered here: https://brainly.com/question/20291097?referrer=searchResults
4x -2 + 5x +6
What does this equal
Answers
Answer:
9x+4
Step-by-step explanation:
114 = 3x +18 what is the missing vaule
Answers
Answer:
x=32
Step-by-step explanation:
Hope this helps. Have a great day and plz give brainliest.
21-28 please geometry
Answers
9514 1404 393
Answer:
21–24 and 28 are correctly marked
25: NEI; 26: ASA or LA; 27: SSS
Step-by-step explanation:
25: At least one side is required for showing congruence. In figure 25, only angles are shown congruent, so there is not enough information.
__
26: Two angles and the side between them are marked congruent. These triangles can be declared congruent by ASA. Considering they are right triangles, one could also invoke LA as the appropriate theorem.
__
27: The unmarked sides of the two outside triangles can be shown to be congruent by virtue of the fact they are opposite congruent angles in the middle triangle. Hence all three sides can be shown congruent for those outside triangles, and the SSS postulate can be invoked.
what value of x will make the given triangles congruent?
Answers
Answer:
2
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
The hypotenuse of each of the triangles have to be equal
7x -5 = 4x+25
Subtract 4x from each side
7x -4x-5 = 4x+25-4x
3x -5 = 25
Add 5 to each side
3x-5+5 = 25+5
3x= 30
Divide by 3
3x/3 = 30/3
x = 10
5
Which input value produces the same output value for
the two functions on the graph?
x = -1
x = 0
x = 1
x = 2
Answers
Answer:
x = 1
Step-by-step explanation:
Input values are x-values plotted on the x-axis, while output values are the y-values plotted on the y-axis.
The question is simply asking that, which value of x will give us the same y-value for the two functions graphed above.
The x value that will give us the same y-value for both functions is the point where the line of both functions intercept. At that point, when x = 1, y = 1, in both functions.
Therefore, the input value of x = 1, will give an output value of y = 1, for the two functions on the graph.
Help
(3x + 5) + (2x + 3)
Answers
3x+5+2x+3
=5x+8
Confused PLEZZZZZ HELLLPPPP
Answers
Answer:B
Step-by-step explanation:
Answer:
believe it is the last one because the room is decreasing at 4 per minute so it would be -4x. Then the room is a 300 capacity so you would minus the -4x from the 300 leaving the formula as p(x)=300-4x
Eqiuvelent Ratio for 23:37
Answers
Just multiply both numbers by 2, or any other number, as long as you multiply them by the same number
Find all zeroes of the function. Enter the real zeroes separated by commas.
Answers
Answer:
f(x)
=(x-4)[6(x^2)+23x+20]
=(x-4)(2x+5)(3x+4)
x=4,-2/5,-3/4
Are there any outliers in the data?
Answers
Answer:
yes, there are a few outliers
Answer:
Yes
Step-by-step explanation:
30 is an outlier because it is much different from the other data points.
A circular race track has a diameter of 120 ft.about how long would one lap of the track be
Answers
Answer:
The length of one lap of the track would be about 377 feet
Step-by-step explanation:
The length of any circular path is equal to the circumference of the circular pathThe circumference of a circle C = π d, where d is the lengths of its diameter∵ A circular race track has a diameter of 120 feet
→ That means the length of each lap equal the circumference of the track
∴ The length of one lap = C
∵ The diameter of the track is 120 feet
∴ d = 120 feet
∵ C = πd
∴ C = π(120)
→ Use π = 3.141
∴ C = (3.141)(120)
∴ C = 376.92 feet
→ Round it to the nearest whole number
∴ C ≅ 377 feet
∴ The length of one lap of the track would be about 377 feet
Reuploaded for about the eighth time, these are the last points I have, please help, I am giving up 100 points. Find the minimum value of f(x, y) = 4x - 2y for the polygonal region determined by the feasible region.
Answers
Replace x and Y with the points and solve:
4x -2y
(-4,-1) = 4(-4) - 2(-1) = -16 +2 = -14
(-4,-4) = 4(-4) - 2(-4) = -16 +8 = -8
(2,-3) = 4(2) - 2(-3) = 8 + 6 = 14
(3,-5) = 4(3) -2(-5) = 12 +10 = 22
The minimum value ( lowest ) is -14, which would be (-4,-1)