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2 years ago

Write an equation of a line with the given slope and y-intercept. m = , b = 2

Mathematics

1 answer:

Vlad [161]2 years ago

3 0

Answer:

Equation is y = mx + 2

Step-by-step explanation:

General equation of line:

${ \boxed{ \bf{y = mx + b}}}$

Substitute in considerance of the question:

${ \sf{ y = mx + 2}}$

If m is given, substitute for m to the answer.

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How can you use transformations to graph this function? y=3•7-x+2 Explain your steps.

ElenaW [278]

The last two easy transformations involve flipping functions upside down (flipping them around the x-axis), and mirroring them in the y-axis.

The first, flipping upside down, is found by taking the negative of the original function; that is, the rule for this transformation is –f (x).

5 0

2 years ago

Which of the following graphs of exponential functions corresponds to a geometric sequence with a first term of 4 and a ratio of

ser-zykov [4K]

Answer: graph E.

A geometric sequence can be written as:

$a_{n} = a_{1} \cdot r^{(n - 1)}$

where:

a₁ = first term = 4

r = ratio = 0.5

Substituting the numbers, we have:

$a_{n} = 4 \cdot (\frac{1}{2})^{n-1}$

or else

$f(x) = 4 \cdot (\frac{1}{2})^{x - 1}$

This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).

In order to choose between graph B and E, let's evaluate the function in two different points:

$f(1) = 4 \cdot (\frac{1}{2})^{1 - 1} = 4$

$f(2) = 4 \cdot (\frac{1}{2})^{2 - 1} = 4 \cdot \frac{1}{2} = 2$

Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.

3 0

3 years ago

Read 2 more answers

When calculating a loanâ€™s effective interest rate, if the nominal rate is 8. 5%, what value of i do you plug into your equatio

natta225 [31]

The nominal rate to plug in will be 0.085.

Given to us, the nominal rate is 8.5%,

The value to plug into your equation,

The equation can be simple interest or compound interest in both cases the value of the nominal rate to the plugin will be the same.

Thus, the nominal rate is 8.5% can be written as

$\begin{aligned}Nominal rate&= 8.5\%\\&= \dfrac{8.5}{100} \\&= 0.085\end{aligned}$

Hence, the nominal rate to plug in will be 0.085.

To know more visit:

brainly.com/question/12522729

6 0

2 years ago

Please help it's 20 and 22 Find he value of the Variables

KIM [24]

20 x=5 I hope this helps
22.x=15

3 0

2 years ago

Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Wor

LenKa [72]

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

$Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}$

The mean of set of a is:

$Mean=\dfrac{200+104+100+160}{4}$

$Mean=\dfrac{564}{4}$

$Mean=141$

The mean of set of b is:

$Mean=\dfrac{270+400+483+300+x}{5}$

$Mean=\dfrac{1453+x}{5}$

It is given that,

Mean of set a: mean of set b= 3:8

$\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}$

$\dfrac{705}{1453+x}=\dfrac{3}{8}$

$8\times 705=3\times (1453+x)$

$5640=4359
+3x$

Isolate the variable x.

$5640-4359
=3x$

$1281
=3x$

Divide both sides by 3.

$\dfrac{1281}{3}
=x$

$427
=x$

Therefore, the value of x is 427.

3 0

2 years ago