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[tex]f(x) = - 5x + 2[/tex]
[tex]g(x) = x + 4[/tex]
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[tex](f \times g)(x) = f(x) \times g(x)[/tex]
[tex](f.g)(x) = ( - 5x + 2)(x + 4)[/tex]
[tex](f.g)(x) = - 5 {x}^{2} - 20x + 2x + 8 \\ [/tex]
[tex](f.g)(x) = - 5 {x}^{2} - 18x + 8 [/tex]
Done...
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Answer:
f (x+4) = -5x -18What is the scale factor
Answer:
1/3
Step-by-step explanation:
33/11=3
so its 1/3 of it
Answer:
1/3
Step-by-step explanation:
If you divide one of the sides in figure A by 3, then you will get the corresponding side for figure B.
So if I divide the uppermost side, which is 33units by 3, I will get the uppermost side in figure B, which is 11units.
Since dividing b 3 is like multiplying by 1/3 then the scale factor is 1/3
What is the next number in the pattern below?
29, 28, 26, 23, 19
Answer:
14
Step-by-step explanation:
ive answered this
I NEED HLP WITH THIS ASAP (TRY IT)
How do I solve 3 (9-5)² ÷8 ?
Answer:
3(9-5)^2 ÷8
3(4)^2÷8
3(16)÷8
3(2)=6
Answer:
6
Step-by-step explanation:
9-5=4
=4
3×4^2 ÷ 8
4^2=16
3×16 ÷8
3×16=48
48÷8=6
Given h(x) = -x + 2, find h(4).
The value of the function h(x) at x equal to 4 is -2.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given function is h(x) = -x + 2, the value of the function at x equal to 4 will be calculated as below:-
h(x) = -x + 2,
h(x) = -(4) + 2,
h(x) = -2
Therefore, the value of the function h(x) at x equal to 4 is -2.
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Solve the equation for x.
x2 = 9
= 2x = 9
= x = 9 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 )
= x = 4.5
Therefore , x = 4.5 .
what is the greatest common factor shared by 10 and 40
[tex]\huge\bold\green{Answer:-}[/tex]
Greatest common factor (GCF) of 10 and 40 is 10.
GCF(10,40) = 10
[tex]\huge\bold\red{Explanation:-}[/tex]
We will now calculate the prime factors of 10 and 40, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10 and 40.
Prime Factorization of 10
Prime factors of 10 are 2, 5. Prime factorization of 10 in exponential form is:
10 = 2¹ × 5¹
Prime Factorization of 40
Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:
40 = 2³× 5¹
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1, 2, 5
Factors of 40
List of positive integer factors of 40 that divides 10 without a remainder.
1, 2, 4, 5, 8, 10, 20
Greatest Common Factor
We found the factors and prime factorization of 10 and 40. The biggest common factor number is the GCF number.
So the greatest common factor 10 and 40 is 10.
The Greatest Common Factor of 10 and 40 is 5.
What is Greatest Common Factor?The greatest common factor is the largest number that is a factor of two or more numbers (GCF). The greatest number (factor) divides them, yielding a Natural number. Once all of the number's variables have been identified, there are a handful that are shared by both. The greatest common factor is the largest number found among the common factors. The GCF is often referred to as the Highest Common Factor (HCF)
For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
Given:
We have to find the greatest common factor of 10 and 40.
So factorizing each number
10 = 2 x 5
40 = 2 x 2 x 2 x 5
Here the common factor of 10 and 40 is
= 2 x 5
= 10
Thus, the Greatest Common Factor is 10.
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In this fraction, which number is the denominator?
8
16
O A. 16
OB. 8
Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $1.25, and the total was $18.20, what was the price of one hot dog
Your answer is 1.65.
(may have a hard time explaining it)
SO, there are 8 hotdogs and 4 bags of chips, 4 times 1.25 is 5, and 18.20 minus 5 is 13.20, so the chips are out of the equation. Now all we must do is divide what's left (13.20) by 8:
13.20/8=1.65
Hope this helps, if not, comment down below please!!!
Which statement about the ordered pairs (3, -8) and (4, 4) is true for the equation 3x - y/4 = 11?
A. Neither ordered pair is a solution.
B. Both ordered pairs are solutions.
C. (4, 4) is a solution to the equation but not (3, -8).
D. (3, -8) is a solution to the equation but not (4, 4).
Answer:
Neither ordered pair is a solution.
Step-by-step explanation:
If we substitute an ordered pair which is the correct solution, we will obtain the value at the right hand side of the equation.
Now let us try it;
Substitute (3,-8)
3(3)-(-8)/4 = 9 +8/4 =17/4
Again;
3(4) - 4/4 = 8/4 =2
Hence, none of the ordered pairs is a solution.
The solutions to the equation 2x2+x-1=2 are x=-3/2 or x=_
Answer:
the solutions are {1, -3/2}
Step-by-step explanation:
The given equation 2x^2 + x - 1 = 2 simplifies to 2x^2 + x - 3 = 0 if we subtract 2 from both sides.
We are told that -3/2 is a solution and must find the other solution To do this, use synthetic division; if the remainder is zero, that tells us that -3/2 is actually a solution, and we can obtain the second solution easily, as follows:
-3/2 / 2 1 -3
-3 3
-------------------------
2 -2 0
Since the remainder is 0, we have verified that -3/2 is a solution. The coefficients of the other factor of the original equation are 2 and -2, and so this other factor is 2x - 2, or 2(x - 1). Setting this result equal to zero yields x = 1.
Thus the solutions are {1, -3/2}.
Answer:
1
Step-by-step explanation:
Took the Test edge 2021
the graph represents a function with the form f(x)=asin(bx+c) which values of a,b, and c are possible
Answer:B
Step-by-step explanation: edge 2020
Evaluate the expression when a= 1/4 and b=6
Answer:
b=24
Step-by-step explanation:
What is 10 to the 5th power times 456
Answer:
45,600,000
Step-by-step explanation:
10 to the 5th power is 100,000 times 456 which is 45,600,000
Correct me if I am wrong
Hope this helps!
Derek has a bird that weighs 4 pounds. Use the double line diagram below to help you determine approximately how many kilograms this bird weighs. (2 points)
2 lines. The first line is labeled Pounds and has 6 marks, equally spaced apart, and every other mark labeled 3, 5, 7, respectively. The second line is labeled Kilograms and has 6 marks, equally spaced apart, and every other mark labeled, 1, 2, 3, respectively.
Group of answer choices
1.5 kilograms
2 kilograms
5 kilograms
7 kilograms
Answer:
2 killograms
Step-by-step explanation:
hope this helps :)
Answer:
2 2 2 it is 2
Step-by-step explanation:
Convert the following equation into
slope-intercept form
4x - 6y = 42
Answer:
y=2/3x -7
Step-by-step explanation:
4x -6y=42
-4x = -4x +42
-6y= -4x + 42
-6 -6 -6 divide both sides by -6
y= 4/6x -7 simplify
y= 2/3x -7
Can someone help please :)
The least common multiple of 54 c^2 de^3 and 38 c^4 is _____.
A. 1,026 c^4
B. 342 c^4 de^3
C. 342 c^2
D. 1,026 c^4 de^3
Answer:
The correct answer is 1,026 c^4 de^3.
Step-by-step explanation:
x−y=−8 in slope intercept form
Answer:
-y=-x+-8
Step-by-step explanation:
Answer:
y = x + 8
Step-by-step explanation:
Slope-intercept form looks like y = mx + b.
We have X−y=−8 and need to solve this for y:
Change all signs, obtaining -x + y = 8
Add x to both sides, obtaining y = x + 8
Find the product of each pair of complex conjugates.
(3 + 8i)(3 – 8i)
Answer:
73
Step-by-step explanation:
What is the quotient of 2 3/4 and 7/8?
Answer:
Step-by-step explanation:
2 3/4 /7/8
11/4*8/7
88/28
What is 100% written as a decimal?
Answer:
100 percent written as a decimal would just be 1
Step-by-step explanation:
For example, 50% is 0.50 in decimal form that would make 100% well, 1.0
Hope this helps and have a great day!
You got this :)
Given Sine (30 degrees) = one-half and Cosine (30 degrees) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction, use trigonometric identities to find the the value of cot(30°).
Answer:
D
Step-by-step explanation:
its right on edge
Answer:
D. \sqrt(3)
Step-by-step explanation:
Can someone help me?
9514 1404 393
Answer:
54w^7/v^17
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
a^0 = 1 . . . . for any a ≠ 0
__
[tex]3y^5y^{-5}v^{-9}\cdot6wv^{-8}\cdot3w^6=(3\cdot6\cdot3)v^{-9-8}w^{1+6}y^{5-5}\\\\=54v^{-17}w^7y^0=\boxed{\dfrac{54w^7}{v^{17}}}[/tex]
If the Bills gained 4 yards on first down, then lost 6 yards on second down, then gained 10 yards on third down, how many yards did they actually move forward on that drive? (You can pretend they started at 0 yards to make it easier
Answer:
8 yards
Step-by-step explanation:
4 - 6 = -2
-2 + 10 = 8
Is ABC = def if so name the postulate that applies
The triangles do not meet the criteria of any postulate, therefore, they might not be congruent.
What are Congruent Triangles?There are criteria that can be used to show that two triangles are congruent to each other. They are:
ASA postulate: This says that two triangles are congruent if they have two pairs of congruent angles and one pair of included congruent sides.SAS postulate: This says that two triangles are congruent is they have two pairs of congruent sides and one pair of included congruent angles.HL postulate: If both triangles have equal hypotenuses and a pair of congruent corresponding legs, then they are congruent triangles based on this postulate.SSS postulate: both triangles are congruent if they have three pairs of congruent sides.However, two triangles can have three pairs of congruent angles and may not necessary be congruent triangles.
The triangles in the image below shows that the two triangles have three pairs of corresponding congruent angles. This information is not enough to prove they are congruent.
The answer is, C. Might not be congruent.
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9x+ 27 = 9(x+ 2) + 9
Answer Infinitely many
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Match each division problem to its quotient. Tiles -34 ÷ 4.25 20 ÷ -4 -30 ÷ -6 33.6 ÷ 4.2 Pairs: 5 8 -5 -8
Answer:
Step-by-step explanation:
5= -33÷-6
8= 33.6÷4.2
-5= 20÷-4
-7= -34÷4.25
Select the line segment
Answer:
It should be A
Step-by-step explanation:
If you need an explanation lmk
help please this for algebra 1
Answer:
D. 1/3
Step-by-step explanation:
When you add 1/3 and 6 you get 6 1/3 so yeah
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Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y = 9x, where x is the number of hours he works and y is the total amount he earns.
Mia has applied to be a lifeguard for the summer. The lifeguard job is three days a week with hours and pay as shown in the table below.
Tuesday
Thursday
Saturday
Hours worked
6
8
5
Amount paid
$52.50
$70.00
$43.75
Which statement best describes the hourly rates?
The two jobs pay the same hourly rate.
The comparison cannot be made with the information given.
Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.
Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.
Answer:
Jason's job pays a higher hourly rate than Mia's lifeguard job.
Step-by-step explanation:
It tells that Jason gets paid $9/hour
now divide each amount Mia makes by the number of hours each day and you get the same amount of $8.75/hour.