All categories

3 years ago

Find the equation of the linear function represented by the table below in slope-

Mathematics

1 answer:

Vsevolod [243]3 years ago

3 0

Answer:

y = -2x-5

Step-by-step explanation:

So to calculate the slope the equation is y1-y2/x1-x2. We substitute in two points, let's use (-3,1) as x1 and y1, and (1,-7) as x2 and y2. Put those points in the equation and you get -7-1/1-(-3), which is -2. Now you have y=-2x+b

To get b plug in a pair of points to the equations, say (1,-7). -7=-2(1)+b, solve that and you get b=-5.

So y=-2x-5.

You might be interested in

PLEASEEEE I NEED A ANSWER ASAP!!!!

Vsevolod [243]

((60 * c) + 3300 ≤ 24000

60c ≤ 24000 - 3300

60c ≤ 20700

c ≤ 20700 / 60

c ≤ 345

7 0

3 years ago

Read 2 more answers

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

wlad13 [49]

Answer:

$\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

$f(x)=\frac{u(x)}{v(x)}\\$ , the derivative is express as

$\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }$

from $y=lnx/x^{2}$

we assign u(x)=lnx and v(x)=x^2

and the derivatives

$\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\$ .

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e $y=lnx\\\frac{dy}{dx}=\frac{1}{x}$

If we substitute values into the quotient expression we arrive at

$\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

8 0

3 years ago

How do you find the angle for n? If you can, please show work on how to get to the answer. Thank you!

PtichkaEL [24]

A triangle needs to add up to 180 degrees so 44 plus 37 is 81 so that last angle is 99 degrees then you do 180 minus that angle because those 2 angles need to equal up so not equals 81

5 0

3 years ago

Need all of them for Transformation Quadratics

postnew [5]

uduusidir93irisufffdhhdjdf

6 0

3 years ago

A research study investigated differences between male and female students. Based on the study results, we can assume the popula

oksian1 [2.3K]

Answer: 0.0548

Step-by-step explanation:

Given, A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.05.

Let $\overline{X}$ represents the sample mean GPA for each student.

Then, the probability that the random sample of 100 male students has a mean GPA greater than 3.42:

$P(\overline{X}>3.42)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3.42-3.5}{\dfrac{0.5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-0.08}{\dfrac{0.5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>1.6)\\\\=1-P(Z$

hence, the required probability is 0.0548.

6 0

3 years ago