Find the range of the function for the given domain. f(x) = 2x - 7 ; {-2, -1, 0, 1, 2}

A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 53 bills having a combined monetary value of ​$ 182.

let x be the number of $1 bills  

y be the  number of $10 bills

There are total of 53 bills so the equation becomes

 x+y=53 ---> first equation

Bills having a combined monetary value of ​$ 182

x + 10 y = 182 ----> second equation

Now we solve for x  and y

 x+y=53

y = 53 - x

Now plug in 53 - x in second equation

[tex]x + 10 (53 - x) = 182[/tex]

[tex]x + 530 - 10x = 182[/tex]

[tex] -9x + 530 = 182[/tex] (subtract 530 on both sides)

-9x= -348

[tex]x=\frac{116}{3}[/tex]

Recheck the numbers given in the question. because we got answer in fraction form.

We know y = 53 - x

[tex]y = 53 - \frac{116}{3} = \frac{43}{3}[/tex]

it would be exactly 5000 grams

Answer:

Three equivalent ratios would be 5/6, 20/24 and 30/36

Step-by-step explanation:

In order to find equivalent ratios, we need to multiply or divide both numbers by the same amount. First, lets divide both by 2.

10/2 = 5

12/2 = 6

5/6

Next we can multiply both by 2

10*2 = 20

12*2 = 24

20/24

Next we can multiply both by 3

10*3 = 30

12*3 = 36

30/36

what are 3 equivalent ratios for 10/12

5/6

15/18

20/24

25/30

To find the greatest common factor of two monomials, first find the prime factorization of each monomial, including all the variables (and a – factor if necessary). Then take the product of all common factors. First, find the prime factorization of each monomial. So, the GCF is 3 p 2 r 3 .

To find out the number of cans Naomi needs for her recipe, you divide the total cups of kidney beans she needs (7 1/5) by the number of cups each can holds (1 4/5), which equates to four. Naomi will therefore need four cans of kidney beans to make her baked beans.

In the content loaded Naomi's recipe for baked beans, we know she needs 7 1/5 cups of kidney beans and that each can of kidney beans holds 1 4/5 cups.

To find out how many cans she needs, we'll divide the total cups needed by the amount each can holds. Remember, when dividing fractions, it's helpful to change the division into multiplication by multiplying by the reciprocal of the second fraction.

So, 7 1/5 ÷ 1 4/5 becomes 7 1/5 x 5/9 (as 5/9 is the reciprocal of 1 4/5).

That comes out to 4 when calculation is done. Therefore, Naomi will need 4 cans of kidney beans to make the recipe.

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Answer:

1. AC+BD given.

2. AC=AB+BC;  Segment addition postulate.

4. AB+BC=BC+CD; Substitution property of equality.

Step-by-step explanation:

We have been given a line segment AD with points A B C and D sitting on AD from left to right and we are asked to find the reasons for given statements.

1. AC=BD is given. Therefore, we will add 'given' in first reason box.

2. We know If two points (A and C) lies on a line segment and third point (B) lies between these points then by segment addition postulate the distance between AC will be equal to sum of distances between AB and BC.

4. Since we know that substitution property of equality states that if x=y than we can substitute x in place of y in any equation and y in place of x as well in any equation. Since we know that [tex]AC=AB+BC[/tex] and [tex]BD=BC+CD[/tex]

Therefore, by substitution property of equality [tex]AB+BC=BC+CD[/tex].

Answer:

The correct answer is option A

The expression 9x⁵y¹⁶ / 45x⁵y⁴ will be equivalent to the expression y¹² / 5. Then the correct option is A.

The equivalent is the functions that are in different forms but are equal to the same value.

The expression is given below.

⇒ 9x⁵y¹⁶ / 45x⁵y⁴

Then the expression can be written as

⇒ 9x⁵y¹⁶ / 45x⁵y⁴

⇒ y¹² / 5

Then the correct option is A.

More about the equivalent link is given below.

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Answer is C, as 12 is divisible by 4, but not 8.

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 8: 8, 16, 24, 32, 40

Based on the multiples up to 40 there are 3 numbers that are multiples of 4 but not 8. They are 12, 28 and 36.

Based on the choices given the answer would be 12.

a complementary angle is 90 degrees, so, if the angle measures 4 more than a complimentary angle, it is 94 degrees.

Answer:

[tex]12x + 9y \geq = 510\\ y\leq 2x\\ y \geq 25[/tex]

Step-by-step explanation:

If x represents the number of lawns and 'y' represents the number of dogs that Fabio walked then:

The amount of money raised by Fabio plus the amount of money raised by Gwen must be greater than or equal to $ 510.

[tex]12x + 9y \geq = 510[/tex]

The number of dogs that Fabio will walk is less than or equal to twice the number of yards of lawn cleared by Gwen.

[tex]y\leq 2x[/tex]

Fabio will walk at least 25 dogs

 [tex]y \geq 25[/tex]

Finally, the restrictions are:

[tex]12x + 9y \geq = 510\\ y\leq 2x\\ y \geq 25[/tex]

Hi!

[tex]3.8*10^8[/tex]

[tex]3.8*100000000[/tex]

[tex]=380,000,000[/tex]

Explanation: This question is super super easy. First you had to write down their problems is 3.8*10^8. Then write for 10^8=100000000 and equal to 100000000*3.8. And the answer is =380,000,000 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie

Answer:

530

Step-by-step explanation:

The formula for the perimeter is,

P = 2(l + w)

Let's input those numbers,

P = 2(166 + 99)

Add,

P = 2(265)

Multiply,

P = 530

Hope this helps :-)

The division problem meeting with the given criteria 'dividend of a/3 and a quotient of 5a2/6b' is '(a/3) ÷ (b/2a) = 5a2/6b'. This is found by using the division formula 'Dividend = Quotient x Divisor' and solving for the divisor.

The problem can be explicitly solved using the general formula for division in variables. Given the dividend is 'a/3' and the quotient is '5a2/6b', you can solve for the divisor using the formula 'Dividend = Quotient x Divisor'. Your unknown in the equation is the divisor and hence rearranging the equation we get, 'Divisor = Dividend / Quotient'. Substituting the given values, the divisor comes out to be 'Divisor = (a/3) / (5a2/6b)' which simplifies to 'b/2a'. Therefore, the division problem matching your criteria would be '(a/3) ÷ (b/2a) = 5a2/6b'.

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Add the ratio:

4 +3 = 7

Divide total by that:

35 / 7 = 5

Multiply each ratio by 5:

4 x 5 = 20

3 x 5 = 15

They had 20 antibiotic prescriptions and 15 tranquilizer prescriptions.

Sure, to find the area of a rectangle, we simply multiply its length by its width. Here, the length of the trampoline's jumping surface is given as 10.3 feet, and the width is given as 9.2 feet.

Step 1: Write down the length and width.
Length = 10.3 feet
Width = 9.2 feet

Step 2: Multiply the length by the width.
Area = Length × Width = 10.3 feet × 9.2 feet

Perform this multiplication to get the area.

Result: The area of the jumping surface of the trampoline is 94.76 square feet.

This means that the total surface area upon which someone can jump on the trampoline is 94.76 square feet.

Answer:

Hey there! :) y = 3x - 7

Step-by-step explanation:

Our very first step should be to rewrite our question.

3x = y + 7 ; solve for y.

In order to find out what y is equal to, we must isolate y. We can do this bu subtracting 7 from both sides of the equal sign.

3x - 7 = y + 7 - 7

Simplify.

3x - 7 = y

Therefore, y is equal to 3x - 7.

~Hope I helped!~

wait bro u in k12 i am

(3x^2 - 2x)(x + 4)

First step would be: distributive property.

3x^3 + 12x^2 - 2x^2 - 8x

Combine like terms.

3x^3 + 10x^2 - 8x is the simplified form of the functions multiplied.

Your answer is D.

Final answer:

The first step in finding f(x) · g(x) involves multiplying the two functions together, following the distributive property, resulting in terms like 3x³ and 12x².

Explanation:

When finding f(x) · g(x), the first step would involve multiplying the two functions together. This means multiplying each term of f(x) by each term of g(x) using the distributive property.

For f(x) = 3x² - 2x and g(x) = x + 4, the first step would look like:
f(x) · g(x) = (3x² - 2x) · (x + 4) = 3x² · x + 3x² · 4 - 2x · x - 2x · 4 = 3x³ + 12x² - 2x² - 8x

So, the correct option in this case is A) 3x³ + 12x² - 2x² - 8x.

[tex]\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{The slope of f(x):}\\\\\text{We have the points}\\\\(0,\ 3)\to x_1=0,\ y_1=3\\(1,\ 1)\to x_2=1,\ y_2=1\\\\\text{substitute}\\\\m=\dfrac{1-3}{1-0}=\dfrac{-2}{1}=-2\\\\g(x)=-2x-5\to\text{the slope}\ m=-2\\\\Answer:\ \text{D. The slope of f(x) is the same as the slope of g(x)}[/tex]

To solve the question -7 + N = 20, we add 7 to both sides to get N = 27. Among the provided options, the correct answer is N = 27.

To solve for N in the equation -7 + N = 20, you should add 7 to both sides of the equation to isolate the variable N on one side. This gives you the equation N = 20 + 7.

The solution is N = 27 as 20 + 7 results in 27. Therefore, the correct answer among the options provided is N = 27.

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Answer:

h=kl/2ij

Step-by-step explanation:

The multiplication order doesn't matter so just divide everything and leave h there :)

Answer:

C) [tex]6x=100+4x[/tex]

Step-by-step explanation:

Let the number of sessions be x

Let the total payment be y

Without membership, the equation becomes:

[tex]y=6x[/tex]

With membership, the equation becomes:

[tex]y=100+4x[/tex]

Now to justify, $100, we will equal both to get the number of sessions.

[tex]6x=100+4x[/tex]

[tex]=> 2x=100[/tex]

Dividing both sides by 2;

x = 50

Hence, the right equation is : [tex]6x=100+4x[/tex]

You have to find the average so add all of them up and divide by the number of numbers which in your case is 20. If you like my answer please mark me as brainliest

Answer:

The correct option is:  32.4 km/h

Step-by-step explanation:

The fastest recorded speed of a turtle while swimming is 9 m/s.

Now,  9 m/s [tex]=\frac{(9)meters}{(1)second}[/tex]

1 kilometer= 1000 meter

So, 1 meter [tex]= \frac{1}{1000}=0.001[/tex] kilometer

and 9 meters [tex]=(9*0.001)kilometer = 0.009[/tex] kilometer

Now, 1 hour = 3600 seconds

So, 1 second [tex]=\frac{1}{3600}hour[/tex]

Thus, we will get.........

[tex]\frac{(9)meters}{(1)second}=(\frac{0.009}{\frac{1}{3600}}) kilometer/hour =(0.009*3600)=32.4 km/h[/tex]

So, the speed of the turtle will be 32.4 km/h.

Answer:

¢8.3 per ounce with the 26 ounce jar

¢6.6 per ounce with the 16 ounce jar

Step-by-step explanation:

divide 26 and 3.12

divide 16 and 2.40

Answer: $0.03

To solve this problem, you must find the unit rate that each jar of chocolate fudge is offering:

For the 26oz jar, you must divide 3.12 by 26 (3.12/26), which will give you an answer of $0.12 per ounce

For the 16oz jar, you must divide 2.40 by 16 (2.40/16), which will give you an answer of $0.15 per ounce

Doing the math, you will find that the 26oz jar has a better deal (less money per ounce), by 0.15-0.12 = $0.03 per ounce (saved on the better deal)

The sequence is halving, therefore the next three numbers are 1, 0.5, and 0.25.

The given sequence is a series of numbers where each number is half of the previous number. This is often referred to as a geometric sequence where the common ratio is 0.5. Therefore, to find the next number in the sequence, we multiply the last number by 0.5.

Following this pattern:

So, the next three numbers in the sequence are 1, 0.5, and 0.25.

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