All categories

3 years ago

Use the graph of the function f(x) to find the value of f(0).

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

6 0

When you plug in a value for the x-axis, you get a value from the y-axis.

Put your finger on the origin, which is the point (0, 0), and trace your finger up and down until you intersect the blue line. That is the value of f(0).

So, the answer is -1.

mr Goodwill [35]3 years ago

5 0

The answer is -1. Look at the graph, when x=0, y=-1 so f(0)=-1.

You might be interested in

How to change 0.00987 to standard form

Darya [45]

8 0

3 years ago

What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi

Sphinxa [80]

Answer:

$15,000\:\mathrm{mm^3}$

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by $V=s^2\cdot h$ , where $s$ is the base length and $h$ is the height. Substituting given values, we have: $V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}$

The volume of a trapezoidal prism is given by $V=\frac{b_1+b_2}{2}\cdot l\cdot h$ , where $b_1$ and $b_2$ are bases of the trapezoid, $l$ is the length of the height of the trapezoid and $h$ is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases ( $\frac{b_1+b_2}{2}$ ) multiplied by the trapezoid's height ( $l$ ).

Substituting given values, we get:

$V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}$

Therefore, the total volume of the composite figure is $5,880+9,120=\boxed{15,000\:\mathrm{mm^3}}$ (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

$V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark$

8 0

3 years ago

Match the measureable quantity giving by its formula with the appropriate unit(s)

Anarel [89]

Can you give the things you have to match?

8 0

3 years ago

Read 2 more answers

find the value of the letter in each of the following and give reasons for the steps involved 1 2 A+6 A B=A 0 9

nekit [7.7K]

Question:

Find the value of the letter in each of the following and give reasons for the steps involved:

1 2 A

+ 6 A B =

A 0 9

Answer:

128 + 681 = 809

Step-by-step explanation:

Here, let's use the general form of numbers where any letter must represent one value and each digit must be represented by just one letter.

Take the following:

A = 8

B = 1

Thus, A +B = 8 + 1 = 9

Also add:

8 + 2 = 10

In general form, tens digit is zero and the 1 is carried over.

I.e, A = 1 + 6 + 1 = 8

We can now see that,

A = 8

B = 1

Therefore,

1 2 A

+ 6 A B =

A 0 9

Will be written as:

128 + 681 = 809

4 0

4 years ago

3+9+5x+4+8x simplified

pickupchik [31]

Answer:

13x + 16

Step-by-step explanation:

Add the like terms together, like terms are terms that have the same variable or power. Ex. x and 4x are like terms, 4x and 4 are not. x^2 and x^3 are not like terms, x^2 and 2x^2 are like terms.

3+9+5x+4+8x

5x+8x+3+9+4

13x + 16

4 0

3 years ago