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padilas [110]
3 years ago
7

If y=26−(3x+2), then x = ?

Mathematics
1 answer:
Anna71 [15]3 years ago
3 0

Answer:

-1/3y +8 = x

Step-by-step explanation:

y=26−(3x+2)

Distribute

y = 26 -3x-2

Combine like terms

y = 24 -3x

Subtract 24 from each side

y -24 = -3x

Divide each side by -3

y / -3 -24/-3 = -3x/-3

-1/3y +8 = x

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22. A storage container is shaped like a rectangular prism. The volume of the container is1,360 cubic feet. The area of the base
Dovator [93]

The volume of the rectangular prism is

V=B\times H

Where:

B is the base area

H is the height

Since the base area is 160 feet^2

Since the volume is 1360 feet^3

Substitute them in the rule above

\begin{gathered} 1360=160\times H \\ 1360=160H \end{gathered}

Divide both sides by 160 to find H

\begin{gathered} \frac{1360}{160}=\frac{160H}{160} \\ 8.5=H \end{gathered}

The height of the container is 8.5 feet

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11 months ago
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MariettaO [177]

The roots of the parabola is where the x-intercepts are so the answer is x=-1 and x= 5

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3 years ago
Monique's son just turned 2 years old and is 34 inches tall. Monique heard that the average boy will grow approximately 2 5/8 in
tatuchka [14]

Answer:

The equation representing how old Monique son is \mathbf{a = 2 + \dfrac{8}{21}(q-34)}

Step-by-step explanation:

From the given information:

A linear function can be used to represent the constant growth rate of Monique Son.

i.e.

q(t) = \hat q \times t + q_o

where;

q_o = initial height of Monique's son

\hat q = growth rate (in)

t = time

So, the average boy grows approximately 2 5/8 inches in a year.

i.e.

\hat q = 2 \dfrac{5}{8} \ in/yr

\hat q =  \dfrac{21}{8} \ in/yr

Then; from the equation q(t) = \hat q \times t + q_o

34 = \dfrac{21}{8} \times 0 + q_o

q_o = 34\  inches

The height of the son as a function of the age can now be expressed as:

q(t) = \dfrac{21}{8} \times t + 34

Then:

Making t the subject;

q - 34 = \dfrac{21}{8} \times t

t = \dfrac{8}{21}(q-34)

and the age of the son  i.e. ( a (in years)) is:

a = 2 + t

So;

\mathbf{a = 2 + \dfrac{8}{21}(q-34)}

SO;

if q (growth rate) = 50 inches tall

Then;

\mathbf{a = 2 + \dfrac{8}{21}(50-34)}

\mathbf{a = 2 + \dfrac{8}{21}(16)}

a = 2 + 6.095

a = 8.095 years

a ≅ 8 years

i.e.

Monique son will be 8 years at the time Monique is 50 inches tall.

8 0
2 years ago
A curious accountant at a large firm would like to know if money can buy happiness. She selects a random sample of 30 of her wea
vova2212 [387]

Answer:

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Step-by-step explanation:

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3 years ago
Are the following equations equivalent why or why not Branilist for people who explain
wariber [46]

Answer:

Yes, they are equivilant

Step-by-step explanation:

5(3m+2p)-4m = 13p+11m-3p

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Combine like terms: 15m+(-4m) = 11m ; 13p+(-3p) = 10p

11m+10p = 11m+10p

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2 years ago
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