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2 years ago

H(x) = 18.75 - 4.53x What is the value of h(−11)?

Mathematics

1 answer:

SOVA2 [1]2 years ago

7 0

Answer:

h(-11) = 68.57

Step-by-step explanation:

h(x) = 18.75 - 4.53x

h(-11) = 18.75 - 4.53(-11)

h(-11) = 18.74 + 49.83

h(-11) =:68.57

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Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50. Jason went into the same movi

ruslelena [56]

The price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

Solution:

Let d" be the price of 1 drink

Let "p" be the price of 1 pretzel

Given that, Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50

Therefore, we can frame a equation as,

3 x price of 1 drink + 10 x price of 1 pretzel = 54.50

$3 \times d + 10 \times p = 54.50$

3d + 10p = 54.5 ---------- eqn 1

Jason went into the same movie theater and bought 9 drinks and 5 pretzels, costing a total of $57.25

9 x price of 1 drink + 5 x price of 1 pretzel = 57.25

$9 \times d + 5 \times p = 57.25$

9d + 5p = 57.25 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 3

9d + 30p = 163.5 ----- eqn 3

Subtract eqn 2 from eqn 3

9d + 30p = 163.5

9d + 5p = 57.25

( - ) -----------------------

25p = 106.25

p = 4.25

Substitute p = 4.25 in eqn 1

3d + 10(4.25) = 54.5

3d + 42.5 = 54.5

3d = 54.5 - 42.5

3d = 12

d = 4

Thus price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

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2 years ago

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grigory [225]

Answer:

232 in squared

Step-by-step explanation:

Find the area of one face and multiply it by 2

7 x 4 x 2=56

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7 x 8 x 2=112

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2 years ago

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Ahat [919]

Do you want this simplified?

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2 years ago

-27+ 18-(10-14)-(12)

vladimir2022 [97]

Answer:

-27 + 18 + 4 - 12

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2 years ago

A transformation of rectangle LMNO results in rectangle L'M'N'O'.

Helen [10]

Answer:

As you can see Rectangle L M NO and Rectangle L'M'N'O' are such that

1. Size of Rectangle L M NO > Size of Rectangle L'M'N'O'

2. Sides of, means length and breadth of Rectangle L M N O is not in proportion to Rectangle L'M'N'O'. i.e

$\frac{LM}{L'M'}=\frac{8}{6}=\frac{3}{2} \\\\\frac{LO}{L'O'}= \frac{4}{4}=1$

3. Out of four possibilities given :

, Reflection and Rotation is not possible because in all the three cases Pre-image and image are not congruent or similar.

As in,Rectangle LMNO →when length and breadth get reduced by scale of 2 and 0 and Dilation by scale factor of< 1 we get Rectangle L'M'N'O'.Centre of dilation may be other than origin.

So, Stretching of preimage i.e Rectangle L M NO→ means Shrinking has taken place to get image Rectangle L'M'N'O'.As shrinking is not an option.

So, Dilation by a factor less than 1, center of dilation other than origin has taken place.

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2 years ago

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