find the value of z
​

Answer:

Step-by-step explanation:

The value of the function is given by the relation

f ( x = -10 ) = -19

f ( 2 ) = 4

f ( -5 ) = 25

f ( -1 ) = 1

f ( 8 ) = -5

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = { 2x + 1    when x ≤ 5

             x²          when -5 ≤ x ≤ 5

             3 - x      when x ≥ 5   }

Now , the value of the function is given by

when x = -10

f ( -10 ) = 2 ( -10 ) + 1

f ( -10 ) = -19

f ( 2 ) = 2²

f ( 2 ) = 4

f ( -5 ) = ( -5 )²

f ( -5 ) = 25

f ( -1 ) = ( -1 )²

f ( -1 ) = 1

f ( 8 ) = 3 - 8

f ( 8 ) = -5

Hence , the function is solved

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Step-by-step explanation:

Write multiplication and division equations to model and solve the problem. Use m for the unknown

Answer:

4 dimes, 12 nickels

Step-by-step explanation:

nickels are worth 5 cents,

12x5=60

$1 is worth 100 cents

100-60 is 40

dimes are worth 10 cents

40 / 10 is 4

so 4 dimes

The number of dimes = 8 dimes

The number of nickels = 4 nickels

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of nickels be = x

Let the number of dimes be = y

Now , the total number of coins = 12

So , the equation will be

x + y = 12   be equation (1)

Now , the total value of coins = $ 1

The value of 1 dime = $ 0.10

The value of 1 nickel = $ 0.05

So , the equation will be 0.05x + 0.10y = 1   be equation (2)

Multiply equation (2) by 100 , we get

5x + 10y = 100   be equation (3)

Multiply equation (1) by 5 , we get

5x + 5y = 60   be equation (4)

Subtracting equation (4) from equation (3) , we get

5y = 40

Divide by 5 on both sides of the equation , we get

y = 8

Therefore , the value of y = 8

Substitute the value of y in equation (1) , we get

x + y = 12

x + 8 = 12

Subtracting 8 on both sides of the equation , we get

x = 4

Therefore , the value of x is 4 and value of y is 8

Hence , The number of dimes = 8 dimes

The number of nickels = 4 nickels

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Answer:

y = - x - 2

2x - 3y = - 9

put value of y

2x - 3(-x - 2)= -9

2x +3x +6 = - 9

5x = - 9 - 6

5x = - 15

x = - 3

now put x in y = - x - 2

y = - (-3)-2

= 3-2

y = 1

Answer:

She would make $646.00

Answer:

Reyna Puti sold = 20 bottles

Step-by-step explanation:

Silver duck = Php 10 per bottle

Reyna Puti = Php 15 per bottle

Silver duck sold = 30 bottles

Reyna Puti sold = x bottles

Total sales = Php 600.00

Total = cost of Silver duck * number sold + cost of Reyna Puti * number sold

600 = 10 * 30 + 15 * x

600 = 300 + 15x

600 - 300 = 15x

300 = 15x

x = 300/15

x = 20 bottles

Reyna Puti sold = 20 bottles

Answer:

(5x + 8y)(5x - 8y)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b) where a = 5x and b = 8y.

~Hoped this helped~

Answer:

4*4

Step-by-step explanation:

since 4 times 4 is 16 then if you add 8 its 24

Answer: C

Step-by-step explanation:

Answer:

C≈51.84in

Step-by-step explanation:

C=2πr

d=2r

Solving for C

C= πd= π·16.5≈51.83628in

Answer:

8a^3b^2

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

let X = the number of hamburgers sold

let Y = the number of cheeseburgers sold  a combined total of 328 were sold

so: X + Y = 328

cheeseburgers = 3 times the number of hamburgers sold  

so: Y = 3X

substitute 3X into the equation for Y

X + 3X = 328

4X = 328

divide both sides by 4 to get the variable X by itself

X = 82

so: 82 hamburgers were sold Friday

Answer:

There were 225 hamburgers sold on Sunday.

Step-by-step explanation:

2h - 74 = 376

h = hamburgers

2h - 74 + 74 = 376 + 74

2h = 450

2h/2 = 450/2

h = 225

Check.

hamburgers + cheeseburgers = total number of burgers

225 + (225 - 74)

225 + 151 = 376

Answer:

243

Step-by-step explanation:

multiply each number by 3

Answer: 61.16 ft

Step-by-step explanation:

We can think in this situation as a triangle rectangle.

where:

The height of the tree is one cathetus

The shadow of the tree is the other cathetus.

We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.

Now we can remember the relationship:

Tg(A) = (opposite cathetus)/(adjacent cathetus)

Where:

A = 78°

Adjacent cathetus = 13ft

opposite cathetus = height of the tree = H

Then we have the equation:

Tg(78°) = H/13ft

Tg(78°)*13ft = H = 61.16 ft

Answer:

6

Step-by-step explanation:

30+25n=90+15n

10n=60

n=6

Answer:

She would have to buy 4 personal training sessions

Step-by-step explanation:

30 + 25 + 25 + 25 (3 training sessions)

= 105

90 + 15 (1 training session)

= 105

Answer:

The answer is below

Step-by-step explanation:

Let x represent the cost of 1 scoop of ice cream. Since the cost of 2 scoops of ice cream are twice the price of 1 scoop of ice cream, therefore the cost of 2 scoops of ice cream = 2x

Jean buys 4 tubs with 2 scoops in them and 2 tubs with 1 scoop each. Therefore the money spent by Jean is:

Money spent by Jean = 4(2x) + 2(x) = 8x + 2x = 10x

Sarah buys 2 tubs of 2 scoops and 4 tubs of 1 scoop. The money spent by Sarah is:

Money spent by Sarah = 2(2x) + 4(x) = 4x + 4x = 8x

Sarah spends 2.50 € less than Jean. Therefore:

Money spent by Sarah = Money spent by Jean - 2.5

8x = 10x - 2.5

2x = 2.5

x = €1.25

Therefore the cost of 1 scoop of ice cream is €1.25, the cost of 2 scoops of ice cream is €2.50.

Money spent by Jean = 10x = 10(1.25) = €12.5

Money spent by Sarah = 8x = 8(1.25) = €10

Answer:

a

Step-by-step explanation:

1/4 divided by 3 = 1/(4*3) = 1/12

Answer:

a.) $10.50

b.) $45.00

c.) about 66.67%

Step-by-step explanation:

a.) regular price = 15.00

    discount = 30% or 0.3

    15 x 0.3 = 4.50 ----------> this is the amount that you will have off

    15.00 - 4.50 ---------> by subtracting from original price, you have sale price

    = $10.50

b.) bought price = 25.00

    marked up = 80% or 0.8

    25.00 x 0.8 = 20 -------> this will give you 80% of 25

    25.00 + 20.00 ------> she sells for 80% higher, so add the numbers

    = $45.00

c.) original price = 36.00

    bought price = 36.00 - 12.00

    = 24

    24 / 36 -----> divide bought price by original to find what percentage it is

    = .66666 which is rewritten as 66.667%

    you can check this by multiplying that percentage by the original price

hopefully this helps a little bit

Answer:

There is only one solution and it is the point of intersection

Step-by-step explanation:

Answer:

9/2

Step-by-step explanation:

(3, -20) & (11, 16)

To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(16 - (-20)) / (11 - 3)

Simplify the parentheses.

= (36) / (8)

Simplify the fraction.

36/8

= 9/2

9/2 is the most simplified fraction. This is your slope.

Hope this helps!

(2x+1)+(3x-5)=5x-4 you just have to try some of them out and see which ones work

Answer:

The answer is 1250

Step-by-step explanation:

5×250=1250

Answer:

1250

Step-by-step explanation:

number of words on one page= 250

number of pages= 5

total number of words=250 x 5

=1250

There 1250 words in the report

PLEASE MARK ME AS BRAINLIEST!!!!!

Answer:

x = 18

Step-by-step explanation:

80 / 48 = 30 / x

80x = 1440

x = 18

Answer:

1196

Step-by-step explanation:

trust me i checked the answer!

Answer:

ratio of nerds to Skittles

= 10:22

= 5:11

Answer:

11:43 am

Step-by-step explanation:

Given data

Time of arrival= 11:19 am

We are told that she spent 24 minutes in the store

Based on this, we can estimate the time she left the store

The time she left

=11:19+ 24

=11:43 am

Hence she left 11:43 am

Time taken by a pizza to get cooked [tex] =\tt 3 \frac{3}{4} \: minutes [/tex]

Number of pizzas with Giovanni = 3

Time that will be taken to heat up 3 pizzas :

[tex] =\tt 3 \frac{3}{4} \times 3[/tex]

[tex] = \tt\frac{4 \times 3 + 3}{4} \times 3[/tex]

[tex] =\tt \frac{12 + 3}{4} \times 3[/tex]

[tex] = \tt\frac{15}{4} \times 3[/tex]

[tex] = \tt \frac{15 \times 3}{4} [/tex]

[tex] = \tt \frac{45}{4} [/tex]

[tex]\color{plum} =\tt 11 \frac{1}{4} \: minutes[/tex]

Therefore, Giovanni will take [tex] \color{hotpink}\tt \bold{11 \frac{1}{4}} \: minutes [/tex] to heat up 3 pizzas.

Answer:

Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.

So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.

Hope this helps:)

Answer:

Its2 for every 3

Step-by-step explanation:

Answer:

-1/3(b+21)

Step-by-step explanation:

Answer:

Hope this helps, thank you !!