Read each question. Then write the letter of the correct answer on your paper.Let g(x)=x-3 and h(x)=x²+6 . What is h(1)xg(1) ?

Answers

Answer 1

We get the value of h(1) × g(1) as - 14 for the functions g (x) = x - 3 and h (x) = x² + 6.

We are given the two functions as:

g (x) = x - 3 and h (x) = x² + 6

Now, we will first find h (1)

h (1) = (1)² + 6

h(1) = 1 + 6

Add them, we get:

h (1) = 7

Now, we will find g (1):

g (1) = 1 - 3

g (1) = - 2

Now we will find the expression  h(1) × g(1):

h(1) × g(1) = 7 × ( - 2 )

h(1) × g(1) = - 14

Therefore, we get the value of h(1) × g(1) as - 14 for the functions g (x) = x - 3 and h (x) = x² + 6.

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Related Questions

help pleaseee one of them is positive fractions and procedural fluency

Answers

5) make the 5 a fraction (5/1) then use keep change flip to make the equation 5/1 * 10/3

That will give you 50/3, simplify that and you get 16 2/3

16 2/3 is your final answer

6) use keep change flip to make the equation 8/10 * 5/2

This will give you 40/20

Since 40 goes into twenty the answer is 2

2 is your final answer

439x39=
Please help
Because no one has done this one yet

Answers

Answer:

Answer= 17,121

Step-by-step explanation:

439

x39

3951

1317 then you add

Hello!
439 x 39 = 17,121.
(I can elaborate later if necessary!)
——————————————
Good luck! :)
~pinetreee

A box is filled with 12 red crayons, 5 blue crayons, and 7 yellow crayons.
A crayon is chosen at random from the box. Find the probability that it is a blue or a yellow crayon.
Write your answer as a fraction in simplest form.

Answers

Answer:

Red or blue crayon - 11/16

Step-by-step explanation:

Red crayon - 9/16

Blue crayon - 2/16

Red or blue crayon - 11/16

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

There are 24 total crayons in the box.  You want to know the probability of picking a blue or yellow crayon.  Since there are 7 yellow crayons and 5 blue you add those together and get 12.  You now have your numerator in your fraction.  There are also 12 red crayons12+12 = 24 and now you have your denominator.  The fraction now reads 12/24.  You simplify by dividing the top and bottom by 12 and get 1/2.  Hope this helps.  

Plssss help this is harder than my hw and I am helping a second grader

Answers

Answer:

Ballio's goal is to read 23 books.

Step-by-step explanation:

9+9+9=27

27-4=23

27

9 9 9            (9x3=27)

31                 (27+4)

27 4

23                (27-4)

Brainlist Pls!

A canteen has fixed cost of 1500 per week.meal costs 5 each are sold at a fixed price of 9 each.write down the eq for total cos

Answers

An equation for the total cost is TC = 1500 + 5x

In this question, a canteen has fixed cost of $1500 per week.

A meal costs $5 each are sold at a fixed price of $9 each.

We need to write the equation for the total cost.

Let x be the number of individuals.

Let TC represents the total cost.

So, an equation for the total cost would be,

TC = 1500 + 5x

Therefore, an equation for the total cost is TC = 1500 + 5x

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SOMEONE PRETTY PLEASE HELP MEE

Answers

The value of x in the angles is 14.

How to find angles when parallel lines are cut by transversal?

When parallel lines are cut by a transversal, angle relationships are formed.

The angle relationships that are formed includes corresponding angles, alternate angles, vertical angle etc.

Therefore, the value of x can be found as follows;

m∠1 = m∠7 (vertical angles)

Therefore,

m∠7 = m∠15(corresponding angles)

Hence,

m∠1 = m∠15

m∠1 = 8x - 4

m∠15 = 6x + 24

Therefore,

8x - 4 = 6x + 24

8x - 6x = 24 + 4

2x = 28

divide both sides by 2

x = 28 / 2

x = 14

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Determine whether the vectors in each pair are normal to each other. [1 8 4 -2}

Answers

Since their dot product is not equal to zero, then vectors (1,8) and (4, -2) are not normal to each other.

Two vectors are said to be normal or perpendicular to each other if the result of their dot product is equal to zero.

These two vectors are also called orthogonal to each other.

Let u = (u₁, u₂) and  v = (v₁, v₂), then the dot product u . v is defined as:

u . v = u₁v₁ + u₂v₂

To check whether the vectors are normal to each other, let us check their dot product.

The given vectors are: (1,8) and (4, -2).

Let u = (1, 8) and  v = (4, -2), then,

u . v = 1 . 4 + 8 . (-2)

       = 4 + (-16) = -12 (not equal to zero)

Since u.v ≠ 0, then (1,8) and (4, -2) are not normal to each other.

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lyft charges 1.50 for the initial fee and 0.88 per mile traveled for an lyftX write and solve an inequality to determine how many miles jazlyn can travel if she has 25$ to spend. round your answer to the nearest hundreth.

Answers

1.50 + .88x = 25

Solve for x

.88x = 16.7

18.94 miles

I need help with this

Answers

The first 4 terms of the geometric sequence are 12 , 36 , 108 and 324.

In a geometric sequence, each term following the first is found by multiplying the preceding one by a constant, non-zero quantity known as the common ratio.

The nth term of a geometric series with first term a and common ratio r is given by [tex]a_n=ar^{n-1}[/tex] .

Given the first term of the geometric sequence is 12 .

And given [tex]a_n=a_{n-1}\times 3[/tex]

Now using the above formula:

a₂ = a₁ × 3

or, a₂ = 12 × 3 = 36

Again using the above formula:

a₃ = a₂ × 3

or, a₃ = 36×3 = 108

Similarly

a₄ = a₃ × 3

or, a₄ = 108 × 3 = 324

Hence the first four terms of the geometric sequence are 12 , 36 , 108 and 324 .

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Solve each equation. If necessary, round to the nearest ten-thousandth. 5³x=125

Answers

The solution of the given equation by rounding off it to the nearest ten-thousandth is 1.0000.

What is a round-off of the digit?

In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.

For eg: 13.58 ~ 13.6

Solving the given equation: 5³x = 125

As given equation is 5³x = 125      —- 1

We know that 5³ = 125

So, equation 1 becomes,

125x = 125

x = 1

Hence, the solution of the given equation in nearest ten thousandth is 1.0000.

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How did you determine whether a fraction was equivalent to 2/5 Explain.​

Answers

Answer:

An equivalent Fraction is obtained by multiplying both the numerator and denominator of the given fraction by the same number.

Step-by-step explanation:

So, the Equivalent Fraction of 2/5 = 4/10, 6/15, 8/40. An equivalent Fraction is obtained by dividing both the numerator and denominator of the given fraction by the same number.

Because 2/5 is 5/2 reversed

A. -3/2
B. 2/3
C. -2/3
D. 3/2

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

D. 3/2

Step-by-step explanation:

You can see the graph is going up, so that eliminates A. and C. as they are both negative. Next, you can see that according to the graph, the line goes up 6 for every 4 to the right, so the equation is 6/4 which simplifies to 3/2.

Answer:

The Answer is D 3/2

Step-by-step explanation:

Hope this Helps!!!

Which of the following numbers are solutions to -2x-3≤11
a: -7 b: -10 c: 7 d: 10 e: -4

A) c,d,e
B) a,c,d,e
C) a,b
D) none ​

Answers

The numbers that are solutions to -2x - 3 ≤ 11 are (b) a, c, d and e

How to determine which of the numbers are solutions to -2x - 3 ≤ 11?

The inequality expression is given as

-2x - 3 ≤ 11

Add 3 to both sides of the inequality

So, we have:

-2x ≤ 14

Divide through the inequality by -2

So, we have

x ≥ - 7

The above means that all numbers from -7 (inclusive) are in the solution

Hence, the numbers that are solutions to -2x - 3 ≤ 11 are (b) a, c, d and e

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The puppy shelter where Riley works is moving to a new building. The rooms in the new building are built to hold 4 puppies each. Riley needs to figure out how many rooms she'll need to house a total of 72 puppies.
Use an equation to find the number of rooms Riley needs.

Answers

Riley needs 18 rooms for 72 puppies.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

Riley works for puppy shelter moving to a new building.

The rooms in the new building are built to hold 4 puppies each.

Now, There are 1 room for 4 puppies.

Number of room for 4 puppies = 1

Hence, Number of room's for 72 puppies = 1/4 × 72

                                                                 = 72/4

                                                                 = 18

So, Riley needs 18 rooms for 72 puppies.

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16+56 divided by 2^3-17 order operations

Answers

Answer: The answer is -9

Step-by-step explanation: so the equation is 16+56/2^3-17. First we multiply 2^3 which makes 8 and now we have 16+56/8-17 and then continue with addition and subtraction were left with 72/-9 then we divide it and were left with -8 as our total!

Hoped this helped! C:

The value of the expression is 6.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

16 + 56 ÷ 2³ - 17

Applying PEMDAS.

= 16 + 56 ÷ 8 - 17

= 16 + 56/8 - 17

= 16 + 7 - 17

= 16 - 10

= 6

Thus,

The value of the expression is 6.

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Let f(x)=4 x, g(x)=1/2 x+7 , and h(x)=-2 x+4 . Perform each function operation. (h⁰ g)(x)

Answers

The value of the composite function (h⁰ g)(x) calculated by  function operation is  -x-10 .

A function is defined as the relation between element of two sets, domain and range. A function is usually denoted using f, g or h .

A algebraic function is defined as y=g(x) such that each element y is related to a single value of x.

(h ∘ g)(x) is also written as h[g(x)] is called a composite function where which means the value of x=g(x) will be substituted in the function h(x).

Composite function is a process that joins two functions to create a third, unique function.

The output of one function becomes the input of another function in h of g of x.

Given functions are:

g(x)=1/2 x+7  and h(x)=-2 x+4

Therefore (h ∘ g)(x)=h[g(x)]

=h(1/2 x+7)

=-2(1/2 x+7)+4

=-x-14+4

=-x-10

Hence the value of the function operation  (h⁰ g)(x) is  -x-10 .

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On a math test, Anna writes 9 as a solution to 3/27. Find the correct solution what error did Anna likely make on her test?

Answers

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Ana forgot to do prime factorisation of [tex]\sqrt{27}[/tex] and bring out one three from the pair of square root of 3.

Answer: she used 3 as the denominator and 17 as the numerator and/or she didn't make it a fraction which would make the correct answer be 3/27=1/9

Step-by-step explanation:hope it helps, brainliest? i could really use it

Dazuri saw the following advertisement at a sports store how much does each soccer ball cost

Answers

Based on the advertisement seen by Dazuri, the cost of each soccer ball is $22.50

How to find the cost?

The advertisement says that the original cost of the ball is $30 but there is a 25% discount.

The price of each soccer ball is therefore reduced by the 25% discount on the ball.

The amount that each soccer ball costs is therefore:
= 30 - ( 30 x 25%)

= 30 - 7.5

= $22.50

Rest of the question is:
Soccer balls on sale at a 25% discount. Prices go back to $30 in a week. Don't miss out.

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For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function. f(x)=(x-4)²

Answers

The inverse function returns the original value for which the output of a function was given.

The inverse of the function f(x) = (x - 4)² is f(x) = √x - 4

What is the inverse formula?

The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value.

An inverse in mathematics is a function that serves to "undo" another function. That is, if f(x) produces y, then putting y into the inverse of f yields x. Invertible functions are those that have an inverse, which is denoted by f1.

Consider F(x) = y,

The x and y value is switched giving the necessary equation of

x = (y - 4)²

Then solve for y

√x = y - 4

simplifying the above equation, we get

y = √x - 4

The domain of the expression is all real numbers except where the expression is undefined, In this case, there are no real numbers that make the expression undefined.

Interval Notation: (-∞,∞)

Set-Builder Notation: {x| x ∈ R}

The range is the set of all valid y values, use the graph to find the range

Interval Notation: [0,∞)

Set-Builder Notation: {y| y ≥ 0}

The domain and range be

Domain: (-∞,∞) {x| x ∈ R}

Range: [0,∞) {y| y ≥ 0}

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what is the answer to this equation
771- -4182

Answers

Answer:

4953

Step-by-step explanation:

- - =+

771+4182=4953

10,12,14 please help

Answers

Answer:

Step-by-step explanation:

I cannot tell which points are which. We need a clearer picture if you do not mind

Rotation 90° counterclockwise around the origin
Translation 17 units right and 12 units up

Answers

The point after all the rotation and translation will become (17 - y, x + 12) from (x, y).

We need to first rotate the point 90° counterclockwise around the origin.

Let the point be (x, y)

When rotating a point 90° counterclockwise about the origin, the coordinate of the point (x, y) will become (-y, x). In other words, x and y will be switched and y will become negative.

Now, we need to translate the point 17 units right.

So, it means that the x - coordinate of the point will become x + 17

So, the point now becomes:

( -y , x ) = ( - y + 17 , x)

(17 - y, x)

Now we have to translate the point 12 units up.

So, we get that:

(17 - y, x + 12)

Therefore, the point after all the rotation and translation will become (17 - y, x + 12) from (x, y).

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Which polynomial cannot be factored in the real number system?
(A) x²-3 x+2 (B) x²+4 (C) 4 x²-1 (D) 2 x² y-2 x y²

Answers

The polynomial that cannot be factored in the real number system is x²+4.

Factorization or factoring in mathematics is the process of expressing a number or other mathematical object as the sum of many factors, which are often smaller or simpler objects of the same type. For instance, the polynomial x² - 4 and the integer 15 can both be factored by the number 3×5.

By checking options

option a x²-3x+2 can be factorized as (x-2)(x-1) by using the sum and product rule.

option b x² +4 cannot be factorized.

option c 4x²-1 can be factorized by using property a²-b²=(a-b)(a+b)

             as (2x-1)(2x+1)

option d  2 x² y-2 x y² can be factored by treating x and y as being equivalent to -2xy(x-y)

Therefore, the polynomial that cannot be factored in the real number system is x²+4.

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Find the inverse of each function. Determine if the inverse is a function.
y=x² / 5

Answers

The inverse of function y = x² / 5 is y = √5x.

How to find the inverse of each function?

given that the function is y = x² / 5

A function that can reverse into another function is known as an inverse function or anti function. A function takes in values, applies specific operations to them, and produces an output. In order to find y when x is swapped with another variable, we must first determine the inverse function. On the other hand, the inverse function and the original function likewise have interchangeable domains and ranges.

[tex]x = \frac{ {y}^{2} }{5} \\ 5x = {y}^{2} \\ y = \sqrt{5x} [/tex]

Hence, the inverse of function y = x² / 5 is y = √5x.

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_____ * 60 = 48,000. Mathematics question.

Answers

The answer is 800 x 60 =48,000

Answer:

yessssssssssss

Step-by-step explanation:

omg this is so easy why would u even feel the need to ask such simple question just use ur caluculator

suppose you invested $20,000 and it grew by 15% every year for 20 years. how much would this investment be worth after 20 years?

1. $300,000
2. $308,140.43
3. $6.65 x 10^27
4. $327,330.74

If you can explain how you got your answer please, thank you!!

Answers

The answer to this question is (4). $327,330.74

Find the value of 1.36 divided by 0.081

Answers

Answer: 16.7901

Step-by-step explanation: when dividing decimals, you need to make the divisor a whole number.
So, in this case you move the decimal point on 0.081 until it is a whole number.
then it would be 81 after moving the point 3 times to the right.

Now to make it even, you need to move the decimal point on 1.36: 3 times. You will then get: 1,360 divided by 81

And add back the decimal point once you divide.

1. if parallel lines are intersected by a transversal then alternate interior angles ​

Answers

Answer:

They are conguent.

Step-by-step explanation:

Learning task 2. Complete the following to make a true statements. Then, determine the property applied.
1. 18 + _______ = 6 + 18
2. -40 + ________ = 0
3. ( 10 + 3 ) + 6 = 10 + ______
4. -15 + ________ = -15
5. _______ + 0 = 42
6. -2 ( 5 + 8 ) = ___________ + ( -16 )
7. 30 ( _____ ) = 30
[( 4 )( 6 )] 2 = 4 [ ___________ ]
9. 15 * ______________ = 0
10. ( 12 )(-4 ) = ________ 12

Answers

1. ( 6 )
2. ( 40 )
3. ( 9 )
4. ( 0 )
5. ( 42 )
6. (-10 )
7. ( 1 )
8. ( 12 )
9. ( 0 )
10. ( 48 )

The left and right page numbers of an open book are two consecutive integers whose sum is 277. Find these page numbers.
The two page numbers are
(Use a comma to separate answers as needed.)

Answers

Answer:

  138, 139

Step-by-step explanation:

You want the consecutive page numbers whose total is 277.

Consecutive numbers

Consecutive integers differ by 1. If the lesser of two consecutive integers is represented by x, then the next one is (x+1). The sum of these two integers will be ...

  x + (x +1) = 2x +1

We want to find the numbers whose sum is 277:

  2x +1 = 277

  2x = 276

  x = 138

  x+1 = 139

The two page numbers are 138, 139.

__

Additional comment

It is customary for the odd page number to be on the right when the book is open. Fortunately, this problem makes that be the case.

Therefore, two page numbers are 138, 139 of a left and right page numbers of an open book are two consecutive integers whose sum is 277.

What is integers?

Positive numbers, negative numbers, and zero are examples of integers. 'Integer' is a Latin word that means 'complete' or 'completely'. This means that integers exclude fractions and decimals. In this article, we'll learn more about integers, their definition, and their properties.

All whole numbers & negative numbers are considered integers. This means that if we combine negative and whole numbers, we get a set of integers.

The difference between two consecutive integers is 1. The following integer is (x+1) if x is the lesser of two subsequent integers. These two integers' sum will be

x + (x +1) = 2x +1

So for 277 the equation will be

⇒  2x +1 = 277

⇒  2x = 276

⇒  x = 138

⇒  x+1 = 139

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