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3 years ago

Use the graph to complete the statement

Mathematics

1 answer:

tamaranim1 [39]3 years ago

8 0

Answer:

C for sure : >

Step-by-step explanation:

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Find an equation of the line through these points (15,2.2) (5,1.6). Write answer in a slope-intercept form

nadya68 [22]

Answer:

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

$m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}$ where two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (15,2.2) and (5,1.6):

$m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}$

Therefore, the slope of the line is $\frac{\displaystyle 3}{\displaystyle 50}$ . Plug this into $y=mx+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

2) Determine the y-intercept (b)

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

Plug in a given point and solve for b:

$1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b$

Therefore, the y-intercept is $\frac{\displaystyle 13}{\displaystyle 10}$ . Plug this back into $y=\frac{\displaystyle 3}{\displaystyle 50}x+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

I hope this helps!

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3 years ago

Factor completely. 4x^3 + 12x^2 + 3x + 9

Sergio039 [100]

Answer:

(4x^2 + 3)(x + 3)

Step-by-step explanation:

Split the equation in the middle so you can factor it out:

4x^3 + 12x^2 | + 3x + 9

Then factor out:

4x^2(x + 3) | 3(x + 3)

Congrats, you completed your equation:

(4x^2 + 3)(x + 3)

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3 years ago

Vertex Form of Quadratic Functions

Nikitich [7]

The X-intercepts: (1,0),(-7,0)

Axis of symmetry: x= - 3

The vertex: (-3, -8)

The Y-intercept: (0, -7/2)

Concave up or down: concave up

Sketch: a poorly drawn picture on the bottom.

I hope that helps.

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3 years ago

In AJKL, the measure of ZL=90°, JL = 55, LK = 48, and KJ = 73. What

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Answer:

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3 years ago

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