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3 years ago

Please answer quick!!

Mathematics

1 answer:

rewona [7]3 years ago

7 0

Answer: B

Step-by-step explanation:

$\frac{2}{7k}(k-7)$

$\frac{2k-14}{7k}$

$\frac{2k}{7k}-\frac{14}{7k}$

$\frac{2}{7}-\frac{2}{k}$

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zepelin [54]

Answer:

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

Step-by-step explanation:

We need to find equation from the table given

x f(x)

3 -5

7 -2

11 1

15 4

We can write equation in the form of $y=mx+b$

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: $Slope=\frac{y_2-y_1}{x_2-x_1}$

From the table we have: $x_1=3, y_1=-5, x_2=7, y_2=-2$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}$

So, we get slope $m=\frac{3}{4}$

Now, finding y-intercept

Using the slope $m=\frac{3}{4}$ and point (3,-5) we can find y-intercept

$y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}$

The y-intercept is $b=\frac{-29}{4}$

So, the equation having slope $m=\frac{3}{4}$ and y-intercept $b=\frac{-29}{4}$ will be:

$y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}$

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

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Which scale factors produce a contraction under a dilation of the original image?

Svetlanka [38]

-1/2 and 1/2 i checked its right

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Liula [17]

Answer:

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Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "

Nikitich [7]

The table is proportional and the constant of proportionality is 1.5

Step-by-step explanation:

Proportional relationships are relationships between two variables

where their ratios are equivalent

One variable is always a constant value times the other
The relation between the two variables represented graphically by a line passes through the origin point

The table:

→ x : 0 : 2 : 4 : 6

→ y : 0 : 3 : 6 : 9

To prove that y ∝ x find the ratio between each value of y with corresponding value of x

∵ $\frac{3}{2}=1.5$

∵ $\frac{6}{4}=1.5$

∵ $\frac{9}{6}=1.5$

∴ $\frac{y}{x}=k$

∴ k = 1.5

∵ The origin point is in the table

∴ y ∝ x

∴ The table is proportional

The table is proportional and the constant of proportionality is 1.5

Learn more:

You can learn more about proportional in brainly.com/question/10708697

#LearnwithBrainly

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