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4 years ago

What is the value of the y-coordinate of the y-intercept of the function shown below? F(x)=-3x^2+5x-4

Mathematics

1 answer:

Crank4 years ago

7 0

Answer:

The y-coordinate of the y-intercept is $-4$

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

In this problem we have

$F(x)=-3x^2+5x-4$

Find the y-intercept

For $x=0$

$F(0)=-3(0)^2+5(0)-4=-4$

The y-intercept is the point $(0,-4)$

therefore

The y-coordinate of the y-intercept is $-4$

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We loveeeeeee the earth it is our planet

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3 years ago

A cube is packed with decorative pebbles. If the cube has a side length of 6 inches, and each pebble weighs on average 0.5 lb pe

Rudik [331]

The volume of the cube is 6*6*6 (in cubed)=216 (in cubed).

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3 years ago

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20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.

vivado [14]

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

Explanation

Step 1

a) let

$\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}$

b) b value

to find the measure of side b we can use cosine function

$\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}$

c) angle B

to find the measure of Angle B we can use sine function

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}$

d) side a

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}$

so, the answer is

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

I hope this helps you

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1 year ago

The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?

sertanlavr [38]

Answer:

Step-by-step explanation:

slope, m = (6-0) /(0--2) = 6/2 = 3

intercept, c at y = -2 when x = 0

Equation

y = mx + c

y = 3x -2

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3 years ago

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timofeeve [1]

Answer:261

Step-by-step explanation:

The value of N is 261

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4 years ago

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