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3 years ago

Show work for answer please

Mathematics

1 answer:

Ghella [55]3 years ago

8 0

Answer:

x = - 3

Step-by-step explanation:

Given

7 + x - 3 = x - 5 - 3x ( simplify both sides )

4 + x = - 2x - 5 ( add 2x to both sides )

4 + 3x = - 5 ( subtract 4 from both sides )

3x = - 9 ( divide both sides by 3 )

x = - 3

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FEE

frozen [14]

Answer:

The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the line

3x - 4y = 7

writing in the slope-intercept form

4y = 3x - 7

dividing both sides by 4

4y/4 = 3/4x - 7/4

y = 3/4x - 7/4

Now, comparing with the slope-intercept form of the line equation

y = 3/4x - 7/4

The slope of the line m = 3/4

We know that parallel lines have the same slopes.

Therefore, the slope of the parallel line is: 3/4

now we have,

The point (-4, -2)

The slope m of parallel line = 3/4

Given the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting (-4, -2) and m = 3/4 in the point-slope form of line equation

$\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)$

$y+2=\frac{3}{4}\left(x+4\right)$

Thus, the equation in the point-slope form of the line equation is:

$y+2=\frac{3}{4}\left(x+4\right)$

Simplifying the equation

$y+2=\frac{3}{4}\left(x+4\right)$

Subtract 3 from both sides

$y+2-2=\frac{3}{4}\left(x+4\right)-2$

$y=\frac{3}{4}x+1$

Multiplying the equation by 4

$4y = 3x + 4$

$3x - 4y = -4$

Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

7 0

3 years ago

Can you explain step by step for #15 and #16 I have a test on this tomorrow

RUDIKE [14]

Answer:

15.

$\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.$

16. 10 ml of 20% saline and 40 ml of 10% saline

Step-by-step explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so

$x + y = 50.$

There are $0.2x$ ml of salt in x ml of 20% saline and $0.1y$ ml of salt in 10% saline. There are $0.12\cdot 50=6$ ml of salt in 50 ml of 12% saline. Thus,

$0.2x+0.1y=6$

15. We get the system of two equations:

$\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.$

16. Solve this system. From the first equation:

$x=50-y$

Substitute it into the second equation:

$0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10$

7 0

3 years ago

In how many days will the inspectors come on the same day

Jet001 [13]

Answer:

depends on situations

Step-by-step explanation:

8 0

3 years ago

What is the size of the matrix resulting from

kogti [31]

Answer:

1×3 or 3×3 I think...........

7 0

3 years ago

Read 2 more answers

The quotient of 2 numbers is 20. The sum is 84. What are the 2 numbers?

Vladimir79 [104]

Answer:

80 and 4

Step-by-step explanation:

80/4=20

80+4=84

5 0

3 years ago

Read 2 more answers

Show work for answer please​

Show work for answer please