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Maru [420]
3 years ago
5

Find the equation of the line. Use exact numbers

Mathematics
1 answer:
nlexa [21]3 years ago
6 0

Answer:

It would be y=2x+4 since the slope is 2 and the y-intercept is 4

(your welcome!)

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Tara and Edith share a sum of money in the ratio 13 : 12
svlad2 [7]

Answer:

She receives 108.33% ( or $108.33)

Step-by-step explanation:

Tara receives $108.33 because 13/12 into a percentage =108 times 100

which = 108.33.That's all there is to it! Hope you have a great day.

5 0
2 years ago
Simplify the expression 467,000×0.0002 using scientific notation and expression your answer in scientific in notation
elixir [45]

Answer:9.34×10^1

Step-by-step explanation:

To simplify 467000×0.0002 in scientific notation

We get

467000×0.0002

=93.4

=9.34×10^1

8 0
3 years ago
I only need 12 and 17, first good response i will give brainliest please i’m desperate
Mumz [18]

Answer:

\textsf{12.} \quad y = 6x - 5

\textsf{17.} \quad y=-\dfrac{1}{4}x-2

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

  • Let (x₁, y₁) = (2, 7)
  • Let (x₂, y₂) = (3, 13)

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

\implies y-y_1=m(x-x_1)

\implies y-7=6(x-2)

\implies y-7=6x-12

\implies y=6x-5

<h3><u>Question 17</u></h3>

Given:

  • f(4) = 3
  • f(0) = -2

Therefore, two points on the line are:

  • (4, -3)
  • (0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:

\implies y=mx+b

\implies -3=m(4)-2

\implies -1=4m

\implies m=-\dfrac{1}{4}

Therefore, the equation of the line is:

y=-\dfrac{1}{4}x-2

7 0
1 year ago
I need help with dividing fractions
iVinArrow [24]

When you divide fractions, you want to use keep change flip.

You keep the 1st fraction, change the division sign into a multiplication sign, then flip the last fraction.

Let’s use 3/4 ÷ 2/3

Keep 3/4 the same, change the division sign into a multiplication sign, and flip 2/3 so that it is 3/2

It’ll look like this

3/4 x 3/2

Now just multiply the numerators, 2 x 3, then multiply the demoninators, 4 x 2.

You get 6/8

Simplify this number and you get 3/4.

If you have any further questions feel free to ask.

Hope this helps.

5 0
3 years ago
What is the slope of the linear function represented in<br> the table?
Sveta_85 [38]

Answer:

1/7

Step-by-step explanation:

I'm not sure if that's what u're looking for...but hope it helps ig!

4 0
3 years ago
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