(09.06)

Mathematics

1 answer:

Oxana [17]3 years ago

7 0

Answer:

Both f(x) and g(x) have the same output value at x = 5

Step-by-step explanation:

When we are writing a function, while x gives the input value, writings like f(x), g(x) or h(x) will represent the output values of the input value of x

Now, looking at the relation, we are told that the value of f(x) = g(x) at x = 5

What this mean is that at x = 5; the output value of g(x) is the same as the output value of f(x)

Hence, we can conclude that both functions have the same output value at the given input value of x = 5

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Nikki packed unit cubes into a prism, as shown. Which statement about the volume of the box is true?

elena-14-01-66 [18.8K]

See the explanation

<h2>Explanation:</h2>

Hello, recall that you need to write complete questions in order to get exact answers. Here we have a missing diagram so I can help you in a general way. A prism is a three dimensional shape that has two identical ends (flat faces

) and the same cross section all along its length. A cube is a special type of prism having six identical square sides. So the volume of a prism given the length of a side as s is:

$V=s^3$

For example, suppose we have a box formed by unit cubes as indicated in the figure below, so the length of one side of the blue box will be:

$s=1+1+1+1+1+1+1+1=8units$

So the volume of the blue box is:

$V=8^3 \\ \\ V=512units^3$

<h2>Learn more:</h2>

Cube: brainly.com/question/12539359

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3 0

3 years ago

9. A blueprint of a house plan uses a scale in

nata0808 [166]

Answer:

The length on the blueprint for an actual length of 65 feet is $16\frac{1}{4}\ inches$

Step-by-step explanation:

Given:

Scale of the blueprint is $\frac{1}{4}\ in=1\ foot$

Length of one side of the house is 65 feet.

Now, as per given data;

1 foot in actual = $\frac{1}{4}\ in$ on the blueprint.

Therefore, using unitary method, we can find find the length on the blueprint for an actual length of 65 feet by multiplying 65 and $\frac{1}{4}$ . Therefore,