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Zinaida [17]
3 years ago
6

What expression is equivalent

Mathematics
1 answer:
Citrus2011 [14]3 years ago
3 0

Answer:

-4x^2, -3x, -5

Step-by-step explanation:

-4x^2 + 2x - 5 (1 + x)

-4x^2 + 2x - 5 + 5x

-4x^2 - 3x - 5

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the product of two consecutive integers n and n+1 is 42. what is the positive integer that satisfies the situation?
MrMuchimi
n(n+1)=42 \\
n^2+n=42 \\
n^2+n-42=0 \\ \\
a=1 \\ b=1 \\ c=-42 \\ b^2-4ac=1^2-4 \times 1 \times (-42)=1+168=169 \\ \\
n=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{169}}{2 \times 1}=\frac{-1 \pm 13}{2} \\
n=\frac{-1 -13}{2} \ \lor \ n=\frac{-1+13}{2} \\
n=\frac{-14}{2} \ \lor \ n=\frac{12}{2} \\
n=-7 \ \lor \ n=6

The positive integer is 6.
The consecutive integers are 6 and 7.
8 0
3 years ago
Ben earns 12,800 a year. About 15% is taken out for taxes. How much is taken out for taxes?
Eduardwww [97]

multiply 12,800 x 15 = 192,000 then divide 192,000 by 100 = 1,920 so the answer is $ 1,920. Hope this helps!

3 0
3 years ago
Brooke is making a c cylindrical bolster pillow for her couch. The pillow is 18 inches long and has a radius of 5 inches. Determ
gtnhenbr [62]

Answer:

Step-by-step explanation:

The pillow is cylindrical. To determine the amount of fabric needed for the pillow, we would apply the formula for determining the total surface area of a cylinder which is expressed as

Total surface area = 2πr² + 2πrh

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

radius = 5 inches

Height = 18 inches

Therefore,

Area = (2 × 3.14 × 5²) + 2 × 3.14 × 5 × 18

Area = 157 + 565.2 = 722.2

Amount of fabric needed is

722.2 square inches

7 0
3 years ago
Leah ran the track 8 times. She ran a total of 2,000 meters. How many meters equals 1 lap?
Vikki [24]

Answer:

250m

Step-by-step explanation:

2000m/ 8laps = 250m

5 0
3 years ago
Answer this question please and thank you
olga nikolaevna [1]

4 for the second one and 2 for the second

3 0
3 years ago
Read 2 more answers
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