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2 years ago

Solve for x: 3 (x - 3) + 8x = 5(2x + 1)

Mathematics

1 answer:

melomori [17]2 years ago

5 0

Answer:

x = 14

Step-by-step explanation:

3 (x - 3) + 8x = 5 (2x + 1)

FOIL: 3x - 9 + 8x = 10x +5

Move all the x terms to one side and all the constants to the other:

3x + 8x - 10x = 5 + 9

Combine like terms: x = 14

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What is the square root of 121

Dvinal [7]

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Step-by-step explanation:

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2 years ago

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find the coordinates of point Z that splits the segment XY located 3/7 of the way between X(-2,1) and Y(4,5)

Drupady [299]

Answer:

Z(-0.2, 2.2).

Step-by-step explanation:

We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.

$[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]$

We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.

$(x_1, y_1)=(-2,1)$

$(x_2, y_2)=(4,5)$

$m:n=3:7$

Upon substituting coordinates of our given points in section formula we will get,

$[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]$

$[x=\frac{12-14}{10}, y= \frac{15+7}{10}]$

$[x=\frac{-2}{10}, y= \frac{22}{10}]$

$[x=-0.2, y= 2.2]$

Therefore, coordinates of point Z will be (-0.2, 2.2).

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2 years ago

Write a rule for the linear function in the table.

JulijaS [17]

Answer:

I guess that you want to know the transformations:

We start with:

f(x) = y = 4*x + 3

a)the transformed function is:

f(x) = y = -4*x - 3

So the sign changed.

This means that we go from (x, y) to (x, - y)

This is a reflection over the x-axis which changes the sin of the y component.

b) Now we go to f(x) = 4*x + 3

So the coefficient in the leading term changed.

This is a horizontal contraction:

A horizontal contraction of factor K for the function g(x) is: g(K*x)

In our case, we have:

f(K*x) = 4*(k*x) + 3 = x + 3

4*k*x = x

4*k = 1

k = 1/4

Then the transformation is an horizontal contraction of scale factor 1/4.

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2 years ago

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THE ANSWER IS THE D!!!!!!!!!!!!

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3 years ago

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Kristen can lift 133% of what Jane can lift. How many times more is that?

lubasha [3.4K]

The weight Kristen can lift is 1.3 times more than Jane's

<h3>How to determine the number of times?</h3>

The given paramater can be represented using the following equation

Kristen = 133% * Jane

Express the percentage as decimal

Kristen = 1.33 * Jane

Hence, the weight Kristen can lift is 1.3 times more than Jane's

Solve for x: 3 (x - 3) + 8x = 5(2x + 1)​

Solve for x: 3 (x - 3) + 8x = 5(2x + 1)