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2 years ago

Simplify. (u^2 - 6u+7)+(-3u^2 + 2u +5)

Mathematics

1 answer:

Kobotan [32]2 years ago

5 0

Answer:

2u2−4u+12

Step-by-step explanation:

Conbine like terms:

=u2+−6u+7+−3u2+2u+5

=(u2+−3u2)+(−6u+2u)+(7+5)

=−2u2+−4u+12

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Equation for the line perpendicular to the line -6x-7y=-6 having the same y-intercept as 8x-5y=10

PilotLPTM [1.2K]

Solving 8x-5y=10 for y helps us to identify the y-intercept:

-5y = -8x + 10. Dividing both sides by -5, we get (8/5)x -2. Therefore, y = (8/5)x - 2; the y-intercept is (0,-2).

The equation -6x-7y=-6 can be solved for its slope in the same manner.
7y = -6x + 6; then y = (-6/7)x + 6/7. Its slope is -7/6. A line perpendicular to this line has slope equal to the negative reciprocal of -7/6, which is 6/7.

So, using the slope-intercept form, y = mx + b becomes y = (6/7)x -2.

4 0

3 years ago

58 = –2(m + 4) + m –22 –50 –66 –33

Anika [276]

Assignment: $\bold{Solve \ Equation: \ 58=-2\left(m+4\right)+m}$

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Answer: $\boxed{\bold{m=-66}}$

<><><><><>

Explanation: $\downarrow\downarrow\downarrow$

<><><><><>

[ Step One ] Switch Sides

$\bold{-2\left(m+4\right)+m=58}$

[ Step Two ] Expand $\bold{-2\left(m+4\right)+m}$

$\bold{-m-8}$

[ Step Three ] Rewrite Equation

$\bold{-m-8=58}$

[ Step Four ] Add 8 To Both Sides

$\bold{-m-8+8=58+8}$

[ Step Five ] Simplify

$\bold{-m=66}$

[ Step Six ] Divide Both Sides By -1

$\bold{\frac{-m}{-1}=\frac{66}{-1}}$

[ Step Seven ] Simplify

$\bold{x=-66}$

<><><><><><><>

$\bold{\rightarrow Mordancy \leftarrow}$

3 0

3 years ago

Read 2 more answers

Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assi

meriva

Answer:

The probability is 0.8

Step-by-step explanation:

The key to answering this question is considering the fact that the two married employees be treated as a single unit.

Now what this means is that we would be having 8 desks to assign.

Mathematically, the number of ways to assign 8 desks to 8 employees is equal to 8!

Now, the number of ways the couple can interchange their desks is just 2 ways

Thus, the number of ways to assign desks such that the couple has adjacent desks is 2(8!)

The number of ways to assign desks among all six employees randomly is 9!

Thus, the probability that the couple will have adjacent desks would be ;

2(8!)/9! = 2/9

This means that the probability that the couple have non adjacent desks is 1-2/9 = 7/9 = 0.77778

Which is 0.8 to the nearest tenth of a percent

4 0

3 years ago

Estimate the solution to the system of equations 7x−y=7 x+2y=6 i need help

Yanka [14]

Answer:

(4/3, 7/3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations of using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

7x - y = 7

x + 2y = 6

Step 2: Rewrite Systems

Equation: x + 2y = 6

[Subtraction Property of Equality] Subtract 2y on both sides: x = 6 - 2y

Step 3: Redefine Systems

7x - y = 7

x = 6 - 2y

Step 4: Solve for y

Substitution

Substitute in x: 7(6 - 2y) - y = 7
Distribute 7: 42 - 14y - y = 7
Combine like terms: 42 - 15y = 7
[Subtraction Property of Equality] Subtract 42 on both sides: -15y = -35
[Division Property of Equality] Divide -15 on both sides: y = 7/3

Step 5: Solve for x

Define original equation: x + 2y = 6
Substitute in y: x + 2(7/3) = 6
Multiply: x + 14/3 = 6
[Subtraction Property of Equality] Subtract 14/3 on both sides: x = 4/3

7 0

3 years ago

Express in simplest radical form. V40

Andrews [41]

Answer:

$\huge\boxed{2 \sqrt{10}}$

Step-by-step explanation:

When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.

The factors of 40 are:

1, 2, 4, 5, 8, 10, 20, 40.

Out of these, we need to look for one that we can find the square root of.

We know that the square root of 4 is 2.

Therefore, we can make $\sqrt{40}$ into $\sqrt{4 \cdot 10}$ .

The square root of 4 is 2. Therefore, we can put that outside the radical.

$2 \sqrt{10}$ .

Hope this helped!

7 0

3 years ago