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lora16 [44]
3 years ago
13

-2y-5(6z-4y)-3z can anyone help me

Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0

Answer:

18y - 33z

Step-by-step explanation:

-2y-5(6z-4y)-3z

-2y-30z+20y-3z

-2y + 20y    +    -30z - 3z

18y - 33z

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A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?
STatiana [176]

Answer:

y = 10/9x + 9

Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

m = \frac{y2 - y1}{x2 - x1}

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}

Therefore, the slope (<em>m </em>) = 10/9.

Next, the <u>y-intercept</u> is the point on the graph where it crosses the y-axis, and has the coordinates, (0, <em>b </em>). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9

3 0
2 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:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

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

<em>Take -2 as a common factor.</em>

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

<em>Now factor the expression x ^ 2 -8x +15</em>

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)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

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

<u>Then the vertice is:</u>

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.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
A mountain is in the shape of a cone whose height is about 3.7 kilometers and whose base radius is about 3 kilometers. Approxima
Lelu [443]

Answer:

34.54 km^{3}

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Height (h) = 3.7 km

Base radius (r) = 3 km

We can calculate the volume of mountain by using following formula,

So, volume of cone = (1/3)πr^{2}h

By putting the value in the formula, we get

= (1/3) π × 3^{2} × 3.7

= 11.1π

= 34.54 km^{3}

Hence, the volume of the mountain is  34.54 km^{3}.

7 0
3 years ago
0.0215 has ____ significant figures
shepuryov [24]

Answer:

has 3 significant figures

Step-by-step explanation:

because zeros are counted if they are between the numbers

7 0
3 years ago
Read 2 more answers
Help me out please, im only typing this much because its making me...
Genrish500 [490]

Answer:

B.x^{2} +2x-8

Step-by-step explanation:

Here the best method to solve is by substituting the end values of the set in each option , otherwise it will a time consuming problem.

Now substitute x=-4 in all the options

A.x^{2} -2x-8

16+8-8=16>0

so out of option A and C option C is correct.

B.x^{2} +2x-8

16-8-8=0 which means for the values of x>-4 x^{2} +2x-8is less than 0

Now substitute x=2 in all the options

A.x^{2} -2x-8

4-4-8=-8<0 . so option A and C both are incorrect.

B.x^{2} +2x-8

4+4-8=0 which means for the values of x<2 x^{2} +2x-8 is less than 0

Therefore the correct option is B

6 0
3 years ago
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