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Lera25 [3.4K]
3 years ago
11

The factors for x2 + 5x + 6 are x + 2 and x + 3.

Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0
It is true that (x+2)(x+3) = x2 +5x + 6
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Round to the nearest $500, what's the most expensive house carlin could buy?
ch4aika [34]

Answer:

Most expensive house she can buy is $79,500

Step-by-step explanation:

5 0
2 years ago
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shaquana has a deck that measures 18 feet by 15 feet. She wants to increase each dimension by equal lengths so that its area tri
Svetach [21]

to increase each dimension by equal lengths so that its area triples is 12 feet.

The given dimensions are 18 feet by 15 feet.

We need to find how much should each dimension increase.

Shaquana wants to increase each dimension by equal lengths so that its area triples.

Let the increased length be x.

So, length =18+x feet and width=15+x feet.

As we know, the area of a deck=Length×Width

The original area of a deck=18×15=270 square feet.

Now, the new area of a deck=(18+x )×(15+x)=3×270

⇒270+15x+18x+x²=810 square feet

⇒x²+33x-540=0

Here, a=1, b=33 and c=-540 in x=\frac{-b\±\sqrt{b^{2-4ac} } }{2a}.

⇒x=\frac{-33\±\sqrt{33^{2} -4 \times (-540)} }{2 \times 1}

⇒x=\frac{-33\±\sqrt{1089 +2160} }{2 \times 1}=\frac{-33\±57}{2}

⇒x=-45 or x=12

Length can not be a negative integer.

Therefore, to increase each dimension by equal lengths so that its area triples is 12 feet.

To learn more about the area of a rectangle visit:

brainly.com/question/20693059.

#SPJ1

6 0
1 year ago
Missy bought a skateboard for $49.50 with a discount of 15% and a helmet for $37.60. The sales tax on both items was 6%. If she
kirill [66]

Answer:

$18.72

Step-by-step explanation:

15% of $49.50 is $7.42

$49.50 - $7.42 = $39.08

$39.08 + $37.60 = $76.68

6% of $76.68 is $4.60

$76.68 + $4.60 = $81.28

$100 - $81.28 = $18.72

7 0
3 years ago
Compute Δy using the function y= 5x^3 as x goes from -2 to 1.<br> Δy =?
Elenna [48]

The value of Δy using the function y= 5x^3 as x goes from -2 to 1 is; Δy = 45

The question requests that Δy be computed according to the function, y = 5x³ as x goes -2 to 1.

  • Δy = y2 - y1

where:

  • y1 = 5(-2)³

  • y1 = -40

and

  • y2 = 5(1)³

  • y2 = 5

Therefore,

  • Δy = y2 - y1

  • Δy = 5 - (-40)

Δy = 45.

Read more:

brainly.com/question/12559989

8 0
2 years ago
Turn this into a formula and step by step on how to solve it.
dimaraw [331]

Answer:

72

Step-by-step explanation:

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2 years ago
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