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jarptica [38.1K]
3 years ago
5

Which of the following graphs is described by the function given below? y = 2x^2 + 8x +3

Mathematics
2 answers:
Masja [62]3 years ago
8 0

Answer:

A

Step-by-step explanation:

y = 2x² + 8x + 3

Complete the square:

y = 2(x² + 4x) + 3

y = 2(x² + 4x + 4) + 3 - 2(4)

y = 2(x + 2)² - 5

So the vertex is at (-2, -5).  The graph must be Graph A.

Alekssandra [29.7K]3 years ago
3 0

Answer:

The answer is Graph (A.)

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What is the actual height of the building shown in the model?
julsineya [31]

Answer:

The actual height is 150ft

Step-by-step explanation:

Given

Width : Height = 2cm : 5cm

Actual\ width = 60ft

Required

Determine the actual height

Substitute 60ft for width in: Width : Height = 2cm : 5cm

60ft:Height =2cm:5cm

Express as fraction

\frac{60ft}{Height} =\frac{2cm}{5cm}

\frac{60ft}{Height} =\frac{2}{5}

Make height the subject

Height = \frac{5}{2} * 60ft

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7 0
3 years ago
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What is the value of 4 x minus 7 when x = 4?191623
katen-ka-za [31]

Solution:

Given:

4x-7

when x = 4,

\begin{gathered} Substitute\text{ }x=4\text{ into }4x-7 \\ 4x-7=4(4)-7 \\ =16-7 \\ =9 \end{gathered}

The answer is 9.

7 0
1 year ago
A paper container in the shape of a right circular cone has a radius of 3 inches and a height of 8 inches. Determine and state t
Scrat [10]

Given:

Radius of the cone = 3 inches

Height of the cone = 8 inches

To find:

The volume of the cone, in terms of  π.​

Solution:

We know that, the volume of a cone is:

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Putting r=3,h=8, we get

V=\dfrac{1}{3}\pi (3)^2(8)

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V=\dfrac{72}{3}\pi

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7 0
3 years ago
Reasoning A store sells packages of comic books with a poster. A poster and 5 comics cost ​$13.99. A poster and 12 comics cost ​
aliya0001 [1]

Answer:

Step-by-step explanation:

Reasoning A store sells packages of comic books with a poster. A poster and 5 comics cost ​$13.99. A poster and 12 comics cost ​$20.99. Write a linear function rule that models the cost y of a package containing any number x of comic books. Suppose another store sells a similar​ package, modeled by a linear function rule with initial value ​$. Use pencil and paper. Explain which store has the better deal. The linear function rule is y nothing.

8 0
3 years ago
Pleas help me find the composition of goh and it’s domain
Ksivusya [100]

Solution:

The function is given below as

\begin{gathered} g(x)=\frac{x+4}{x-1} \\ h(x)=2x-1 \end{gathered}

To figure out

(goh)(x)

To do this , we will substitute x= 2x-1 in g(x)

\begin{gathered} g(x)=\frac{x+4}{x-1} \\ g(h)(x)=\frac{2x-1+4}{2x-1-1} \\ g(h)(x)=\frac{2x+3}{2x-2} \end{gathered}

Hence,

The composte function will be

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Step 2:

To figure out the domain,

In mathematics, the domain of a function is the set of inputs accepted by the function.

Hence,

The domain of the function is

\begin{bmatrix}\mathrm{Solution:}\:&\:x1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:1\right)\cup \left(1,\:\infty \:\right)\end{bmatrix}

5 0
1 year ago
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