Write the equation of the line in slope-intercept form.

Hiiio!!Can someone please help me ❤️:D

Delvig [45]

Answer:

Step-by-step explanation:

ratio of 216 : 64

bigger is 20 inches

so divide 20 by 216... to find the unit.. then multiply that by 64 to find the size of the other

20/216 = 0.0925925

0.0925925 * 64 =5.9259"

so about 6 inches

and Hi :D

5 0

3 years ago

The ends of a pipe when measured with a tape measure that has marks every millimeter are exactly at the 0 mark and the 15 meter

exis [7]

If the ends span from the 0 to the 15 meter mark, then the length of the pipe is 15 meters. However, you should report it using the right amount of significant figures. It is mentioned in the problem that millimeter marks are calibrated between meters. Since millimeter is 1/1000 of a meter, you should add three decimal places to the 15 meters. Hence, you should report it as 15.000 meters.

3 0

3 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

A car was worth $14000 in 2015, and decreased in value to $10500 in 3 years. What is its annual rate of depreciation?

bulgar [2K]

The annual rate of depriciation would be approximately $1,166.60 per year.

5 0

3 years ago

Quick sell outlet sold a total of 40 televisions, each of which was either a model p television or a model q television. each mo

saw5 [17]

Answer:

The number of the television sets that is model p is 12

Step-by-step explanation:

Here we have total number of television sold = 40

The model p televisions sold for $30 less than the model q televisions

That is $P = $q - $30

Therefore

Let the quantity of the model p sold be X

Let the quantity of the model q sold be X

Therefore

x + y = 40

Total cost of the television = 40 * 141 = $5640

Therefore, 120*x + 90*y = 5640

Plugging in x = 40 - y in the above equation we get

4800 - 30y = 5640 or

y = -28 and

x = 68

If we put y = 40 - x we get

30x + 3600 = 5640

If we put

120*x + 150*y = 5640.........(3)

we get

x = 12 and y = 28

Therefore, since the model p sold for $30 less than the model q, from the solution of equation (3) the number of the television sets that is model p = 12

3 0

3 years ago

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