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3 years ago

I need the answer to both please

Mathematics

1 answer:

erastovalidia [21]3 years ago

8 0

1. I converted the kilogram into a metric ton and since there are 4 copies of the same book i converted 6.8 kilograms into 0.0068 metric tons.
2. 72 mph

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For the following exercises, evaluate the function at the indicated values:

STALIN [3.7K]

Answer:

The evaluated function for the indicated values is given below.

The value of f(-3) is 20 .

The value of f(2) is 10 .

The value of f(-a) is $2|-3 a-1|$ .

The value of -f(a) is $-2|3 a-1|$ .

The value of f(a+h) is $2|3 a+3 h-1|$ .

Step-by-step explanation:

A function $f(x)=2|3 x-1|$ is given.

It is required to evaluate the function at $f(-3) ; f(2) ; f(-a) ;-f(a) ; f(a+h)$ .

To evaluate the function, substitute the indicated values in the given function to determine the output values and simplify the expression.

Step 1 of 5

The given function is $f(x)=2|3 x-1|$ .

To evaluate the function at f(-3), substitute -3 in the given function $f(x)=2|3 x-1|$\\ $f(-3)=2|3(-3)-1|$\\ $f(-3)=2|-9-1|$\\ $f(-3)=2|-10|$\\ $f(-3)=2(10)$\\ $f(-3)=20$$

Step 2 of 5

To evaluate the function at $f(2)$, substitute 2 in the given function.

$f(x)=2|3 x-1|$\\ $f(2)=2|3(2)-1|$\\ $f(2)=2|6-1|$\\ $f(2)=2(5)$\\ $f(2)=10$$

Step 3 of 5

To evaluate the function at f(-a), substitute -a in the given function.

$\begin{aligned}&f(x)=2|3 x-1| \\&f(-a)=2|3(-a)-1| \\&f(-a)=2|-3 a-1|\end{aligned}$

Step 4 of 5

To evaluate the function at -f(a), substitute a in the given function.

$f(x)=2|3 x-1|$\\ $-f(a)=-2|3(a)-1|$\\ $-f(a)=-2|3 a-1|$$

Step 5 of 5

To evaluate the function at f(a+h), substitute a+h in the given function. $f(x)=2|3 x-1|$

$\begin{aligned}&f(a+h)=2|3(a+h)-1| \\&f(a+h)=2|3 a+3 h-1|\end{aligned}$

7 0

2 years ago

nina wants to put color tiles on a square . 3 color tiles fit acroos the top of the square . how many rows and colum of tiles wi

bulgar [2K]

A square has all the sides being equal.
Since the top can fit 3 color tiles, then the side must fit the same number of tiles.
Therefore, 3 roles and 3 columns of tiles will be required.
The number of tiles required will calculated similar to area of a square. That is,

Number of tiles = 3*3 = 9 tiles.

6 0

3 years ago

PLEASE HELP!!! PLZ!!!

Helen [10]

We can use the vertex form
$y = a {(x - h)}^{2} + k$
to find the equation of the graph. We know that a is the coefficient, and since the graph opens upwards and is slightly stretched vertically, we know that a is 1/3. On the graph, we see that the vertex of the parabola is at (0,-1). Therefore, h is 0 and k is -1.
Our vertex form equation is
$y = \frac{1}{3} {x}^{2} - 1$
Which is D

7 0

4 years ago

Find the x-coordinate of the point on the graph of y=x^2 where the tangent line is parallel to the secant line that cuts the cur

jek_recluse [69]

First find the secant line. The slope of the secant line through $(-1,1)$ (when $x=-1$ ) and $(2,4)$ (when $x=2$ ) is the average rate of change of $y=x^2$ over the interval $[-1,2]$ :

$\text{slope}_{\text{secant}}=\dfrac{2^2-(-1)^2}{2-(-1)}=\dfrac33=1$

The tangent line to $y=x^2$ will have a slope determined by the derivative:

$y=x^2\implies y'=2x$

Both the secant and tangent will have the same slope when $2x=1$ , or when $x=\dfrac12$ .

4 0

3 years ago

An arts supply store has 28 pounds of modeling clay to ship to a client. Each packing box can contain no more than

alekssr [168]

Answer:

D. The store will need exactly 38 boxes for the shipment, with 1/3 pound of clay going into the last box

Step-by-step explanation:

We need to divide the number of pounds by the numbers of pounds per box

28 ÷ 3/4

Copy dot flip

28 * 4/3

112/3

37 1/3

We will have to round up to pack all the clay

38 boxes with 1/3 in the 38th box

7 0

3 years ago