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likoan [24]
3 years ago
11

-2m(m+n-4)+5(-2m+2n)+n(m+4n-5)

Mathematics
2 answers:
charle [14.2K]3 years ago
8 0
Hello! And thank you for your question!

First we are going to expand the equation:

<span>−2<span>m^<span><span>​2</span><span>​​</span></span></span>−2mn+8m−10m+10n+nm+4<span>n<span><span>​^2</span><span>​​</span></span></span>−5n

Then we are going to combine like terms:

</span><span><span>−2<span>m<span><span>​^2</span><span>​​</span></span></span>+(−2mn+mn)+(8m−10m)+(10n−5n)+4<span>n<span><span>​^2</span><span>​​</span></span></span></span>
</span>
Then finally, simplify:

−2<span>m<span><span>​^2</span><span>​​</span></span></span>−mn−2m+5n+4<span>n<span>​^<span>2

Final Answer:
</span></span></span>
−2m​^2​​−mn−2m+5n+4n​^2
arlik [135]3 years ago
4 0
-2m(m+n-4)+5(-2m+2n) +n(m+4n-5)
-2m^2-2mn+8m-10m+10n+mn+4n^2-5n
-2m^2+4n^2-2m+5n-mn
Hope this helps!
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Solve x^4 - 3x^2 +2 = 0 using substitution.
Leona [35]

Answer:

x = ± 1 , x = ± \sqrt{2}

Step-by-step explanation:

Let u = x² , then

x^{4} - 3x² + 2 = 0 , can be expressed as

u² - 3u + 2 = 0 ← in standard form

(u - 1)(u - 2) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 1 = 0 ⇒ u = 1

u - 2 = 0 ⇒ u = 2

Change the variable u back to x

x² = 1 ( take square root of both sides )

x = ± 1

or

x² = 2 ( take square root of both sides )

x = ± \sqrt{2}

4 0
2 years ago
The minimum point on the graph of the equation y=f(x) is (−1,−3). What is the minimum point on the graph of the equation y=f(x−5
prohojiy [21]

Answer:

The minimum point is (4,-3)

Step-by-step explanation:

we know that

If the new equation is

y=f(x-5)

then

The Rule of the translation is

(x,y) -----> (x+5,y)

That means ----> The translation is 5 units at right

so

(−1,−3) ----> (-1+5,-3)

(−1,−3) ----> (4,-3)

5 0
3 years ago
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A car rental agency charges $16.00 per day plus $0.15 per mile. Jim's bill for 4 days was $79.00. How many miles did he drive?
Ostrovityanka [42]
The equation would be: 16(4)+.15m=79
The answer would be 100 miles.
8 0
3 years ago
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There are 6 squares and 15 triangles. What is the simplest ratio of squares to triangles?
Paladinen [302]

Answer:

2:5

Step-by-step explanation:

Hello!

A ratio is written as a:b.

Since we are writing it as a ratio of squares to triangles, "a" would be squares, and "b" would be triangles.

  • a:b
  • \text{squares  :  triangles}
  • 6:15
  • 3(2):3(5)    \hookrightarrow Remove common factors
  • 2:5

The simplest form of the ratio is 2:5.

3 0
1 year ago
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Meghan makes $37.50 per hour for the first 40 hours she works each week as a pharmacist. For any hours over 40,she earns 1.5 tim
Nesterboy [21]
STEP-BY-STEP SOLUTION:

NOTE: Total no. of hours - Total no. of normal hours = Total no. of overtime hours

Income = Standard hourly pay × Total no. of normal hours + Standard hourly pay × ( Total no. of hours - Total no. of normal hours ) × Overtime hourly pay

Income = 37.5 × 40 + 37.5 × ( 46.6 - 40 ) × 1.5

Income = $1871.25

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