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Galina-37 [17]
2 years ago
15

If M=5x^2+7x-4 and N=-3x^2-4x+5, then M-N equals

Mathematics
1 answer:
Phantasy [73]2 years ago
4 0

Answer:

8x² + 11x - 9

Step-by-step explanation:

M - N

= 5x² + 7x - 4 - 1(- 3x² - 4x + 5) ← distribute parenthesis by - 1

= 5x² + 7x - 4 + 3x² + 4x - 5 ← collect like terms

= 8x² + 11x - 9

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Polygon A and Polygon B are similar with a ratio of similarity of 5/4. If the perimeter of Polygon A is 20 units, what is the pe
klemol [59]

Answer:

16 units

Step-by-step explanation:

A/B = 5/4 = 20/p

5/4 = 20/p

5p = 4 × 20

p = 4 × 4

p = 16

Answer: 16 units

6 0
2 years ago
Given the function f(x) = x3 + 2x2 − 3x − 5, what is the resulting function when f(x) is shifted to the right 1 unit? f(x + 1) =
xz_007 [3.2K]
When a function is shifted to the right by 1 unit it is moved towards the negative side so we would be adding -1 to the value of x. The function f(x) would be f(x-1). To determine the resulting function, we substitute to the parent function (x-1) to x. We do as follows:

<span>f (x) = x^3 + 2x^2 − 3x − 5
</span>f (x-1) = (x-1)^3 + 2(x-1)^2 − 3(x-1) − 5
f (x-1) = x^3 - 3x^2 + 3x - 1 + 2(x^2 - 2x + 1) - 3x + 3 - 5
f (x-1) = x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5
f (x-1) = <span>x^3 - x^2 - 4x - 1 

Therefore, the correct answer is the last option.</span>
5 0
2 years ago
Acute angles Angles that measure 60°
3241004551 [841]
Acute angles are angles that measure below 90°, meaning below a right angle.
3 0
3 years ago
Read 2 more answers
I NEED HELP ASAP!!!!!!!<br><br> A. m= -2<br> B. m= -1/2<br> C. m= 2<br> D. m= 1/2
LenaWriter [7]

Answer:

A. m = -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (0, 0)

Point (1, -2)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>

  1. Substitute in points [SF]:                    \displaystyle m=\frac{-2-0}{1-0}
  2. [Fraction] Subtract:                             \displaystyle m=\frac{-2}{1}
  3. [Fraction] Divide:                                \displaystyle m=-2
6 0
2 years ago
The door to the clubhouse has an area of 1,792 sq cms If the length of the door is 56cms how wide is the door ?
LuckyWell [14K]

Step-by-step explanation:

area = length x width

area = 1,792 sq cm

length = 56 sq cm

width = ?

equation = 1,792-56= 1,736

Answer:

1,736 sq cm

4 0
3 years ago
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