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Tems11 [23]
3 years ago
9

What is the slope-intercept form of the function that contains the point (–1, 5) and has a slope of –4?

Mathematics
1 answer:
katovenus [111]3 years ago
3 0

If it has a slope of -4, you need to find b.

So you want to plug in your coordinate values for x and y to solve.

5=-4(-1)+b

5=4+b you then subtract 4 from both sides to find the answer for b.

1=b

So your equation would be:

y=-4x+1

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Slope intercept of (2,1) and (4,0)
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The answer to the question

3 0
3 years ago
Fill in the blank. Using the number line below, the plotted number is when rounded to the nearest thousand.​
prisoha [69]

Answer:

5000

Step-by-step explanation:

if its 5 or more round up. If it's 4 or less round down

6 0
2 years ago
Suppose X, Y, and Z are random variables with the joint density function f(x, y, z) = Ce−(0.5x + 0.2y + 0.1z) if x ≥ 0, y ≥ 0, z
kompoz [17]

a.

f_{X,Y,Z}(x,y,z)=\begin{cases}Ce^{-(0.5x+0.2y+0.1z)}&\text{for }x\ge0,y\ge0,z\ge0\\0&\text{otherwise}\end{cases}

is a proper joint density function if, over its support, f is non-negative and the integral of f is 1. The first condition is easily met as long as C\ge0. To meet the second condition, we require

\displaystyle\int_0^\infty\int_0^\infty\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=100C=1\implies \boxed{C=0.01}

b. Find the marginal joint density of X and Y by integrating the joint density with respect to z:

f_{X,Y}(x,y)=\displaystyle\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dz=0.01e^{-(0.5x+0.2y)}\int_0^\infty e^{-0.1z}\,\mathrm dz

\implies f_{X,Y}(x,y)=\begin{cases}0.1e^{-(0.5x+0.2y)}&\text{for }x\ge0,y\ge0\\0&\text{otherwise}\end{cases}

Then

\displaystyle P(X\le1.375,Y\le1.5)=\int_0^{1.5}\int_0^{1.375}f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy

\approx\boxed{0.12886}

c. This probability can be found by simply integrating the joint density:

\displaystyle P(X\le1.375,Y\le1.5,Z\le1)=\int_0^1\int_0^{1.5}\int_0^{1.375}f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz

\approx\boxed{0.012262}

7 0
3 years ago
12x+y=−4 y=2x+16 im really confused on how to do this, i need to find the solution
ololo11 [35]

Answer:

here

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
At Baceball practice, Asher caught 16 of 20 hits to the out field. Select all of the was of expressing 16 out of 20. a. 3/5 b. 0
kvasek [131]

Answer:

16 : 20 = 0,8 = 80%

Step-by-step explanation:

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3 0
3 years ago
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