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2 years ago

Given that g(x)=3x - 12, what is the value of x when g(x)=-27?

Mathematics

2 answers:

anyanavicka [17]2 years ago

5 0

Answer:-93

Step-by-step explanation:

g(x)=3x-12

g(x)=3(-27)-12 - Substitute

g(x)=-81-12 - Multipy

g(x)= -93 - Add

Lorico [155]2 years ago

4 0

Answer:

x = -5

Step-by-step explanation:

If g(x)= 3x - 12, and g(x)= -27 then -27 = 3x -12

Solve for x

-27 = 3x -12, add 12 to both sides

-27+12 = 3x, add -27+12

-15 = 3x, divide both sides by 3

-5 = x

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Using the given information, give the vertex form equation of each parabola.

Amanda [17]

Answer:

The equation of parabola is given by : $(x-4) = \frac{-1}{3}(y+3)^{2}$

Step-by-step explanation:

Given that vertex and focus of parabola are

Vertex: (4,-3)

Focus:( $\frac{47}{12}$ ,-3)

The general equation of parabola is given by.

$(x-h)^{2} = 4p(y-k)$ , When x-componet of focus and Vertex is same

$(x-h) = 4p(y-k)^{2}$ , When y-componet of focus and Vertex is same

where Vertex: (h,k)

and p is distance between vertex and focus

The distance between two points is given by :

L= $\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}$

For value of p:

p= $\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}$

p= $\sqrt{(4-\frac{47}{12})^{2}+((-3)-(-3))^{2}}$

p= $\sqrt{(\frac{1}{12})^{2}}$

p= $\frac{1}{12}$ and p= $\frac{-1}{12}$

Since, Focus is left side of the vertex,

p= $\frac{-1}{12}$ is required value

Replacing value in general equation of parabola,

Vertex: (h,k)=(4,-3)

p= $\frac{-1}{12}$

$(x-h) = 4p(y-k)^{2}$

$(x-4) = 4(\frac{-1}{12})(y+3)^{2}$

$(x-4) = \frac{-1}{3}(y+3)^{2}$

8 0

3 years ago

A container in the shape of a rectangular prism holds 651.168 cubic inches when completely filled with water. The container has

serg [7]

Answer : 3.4

Explanation: 12.6 x 15.2= 191.52
651.168 / 191.52 = 3.4

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3 years ago

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Answer:

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2 years ago

Please answer this question

Ann [662]

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3 years ago

Sylvia and her friends mixed 6 quarts of pineapple juice and 4 quarts of sparkling water to make a fruity drink. The next week,

posledela

Answer:

The change of concentration surely made the difference since the last drink contained more juice with respect to the water

Step-by-step explanation:

The concentration of a drink

We can know how much of a certain ingredient there is with respect to the entire mix. This is known as the concentration and is commonly expressed in percentage %

Sylvia and her friends made a drink with 6 quarts of pineapple juice in 4 quarts of sparkling water. The total quantity of water is 10 quarts, so the concentration of pineapple juice is

$\frac{4}{10}=\frac{2}{5}=40\%$

The next week, their drink consisted of 5 quarts of pineapple juice and 3 quarts of sparkling water, so the new concentration is

$\frac{5}{8}=62.5\%$

The change of concentration surely made the difference since the last drink contained more juice with respect to the water

4 0

3 years ago