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3 years ago

Here is a function.

Mathematics

2 answers:

Ganezh [65]3 years ago

8 0

Answer:

slope -3 y intercept is 4

Step-by-step explanation:

slope y2-y1/x2-x1

4-1/0-1 = -3

y=mx+c

y=4-3x

forsale [732]3 years ago

7 0

Answer:

Step-by-step explanation:

The graph is a straight line graph.

The y axis is h(x) and the x axis is x

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

Looking at the graph

y2 = - 2

y1 = + 4

x2 = 2

x1 = 0

Slope, m = (- 2 - 4)/(2 - 0)

m = - 3

To determine the intercept, c, let us substitute m= - 3, y = - 2 and x = 2 into the slope intercept equation. It becomes

- 2 = - 3×2 + c

- 2 = - 6 + c

c = - 2 + 6 = 4

The equation becomes

h(x) = - 3x + 4

The y intercept is the point at which x = 0. Therefore, the y intercept is

y = -3×0 + 4

y = 4

So the y intercept is 4

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Many U.S employees received a 3% raise in 2012. Suppose an employee made $47,000 in 2011 and received a 3% raise. What did she m

Hoochie [10]

First lets get 3% into decimal form.

3% is 3/100 = 0.03

Now multiply 0.03 by 47000 to get how much extra money she was going to get.

47000 * 0.03 = 1410

Now we just add
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Another way to do this is

(47000)(1+0.03) = 48410

you would use (1+0.03) which tells you she increased in pay.

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3 years ago

7➗1/5 <br> As a fraction plz

marishachu [46]

$\bf 7\div \cfrac{1}{5}\implies \cfrac{7}{1}\div \cfrac{1}{5}\implies \cfrac{7}{1}\cdot \cfrac{5}{1}\implies \cfrac{35}{1}$

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4 years ago

Read 2 more answers

What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4

KatRina [158]

You can use the fact that a number raised to negative powers can be written as 1 divided by that number raised to positive number.

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got $a^{-b}$ . then it can be rewritten as

$a^{-b} = \dfrac{1}{a^b}$

It is because $a^0 = 1$ for any a except 0, and that $\dfrac{a^0}{a^b} = a^{0-b} = a^{-b}$

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

Thus,

$a^b \timesa ^c = a^{b+c}\\\\\dfrac{a^b}{a^c} = a^{b-c}$

<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is $\dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}$