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DENIUS [597]
3 years ago
11

solve for x under the assumption that x<0. Enter your answer in interval notation using grouping symbols

Mathematics
1 answer:
alexira [117]3 years ago
8 0

Step-by-step explanation:

x² + 9x < -20

x² + 9x + 20 < 0

(x + 4)(x + 5) < 0

Therefore -5 < x < -4 / (-5,-4)

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N 12. Find the volume of the sphere.​
S_A_V [24]

Answer:

2929 1/3 \pi in^3

Step-by-step explanation:

The equation for the volume of a sphere is \frac{4}{3} \pi r^3.

Insert 13 for r.  Then, simplify.

8 0
2 years ago
X/8 - 9 = 1 Solve for x
mestny [16]

Answer:

x=80

Step-by-step explanation:

  • x/8-9=1
  • x/8=9+1
  • x/8=10
  • x=80

7 0
3 years ago
The value of a school bus reduces from $512000 to $343000in 3 years. Find the
Eva8 [605]

Answer:

<em>The uniform rate of depreciation is $56,333 per year, or 11% per year.</em>

Step-by-step explanation:

<u>Rate of Depreciation</u>

If some object has a certain value P and after some time t its value decreases to Q, the rate of depreciation is a measure of how much its value changed per unit time.

It can be calculated as:

\displaystyle R=\frac{P-Q}{t}

It can also be expressed as a percentage, dividing the previous value by P.

The school bus reduces its value from $512,000 to $343,000 in 3 years, thus:

\displaystyle R=\frac{512,000-343,000}{3}

\displaystyle R=\frac{169,000}{3}

R = 56,333 $/year

Expressed as a percentage:

R = 56,333 / 512,000 = 0.11

R = 11%/year

The uniform rate of depreciation is $56,333 per year, or 11% per year.

8 0
3 years ago
In the function y=5x^2-2, what effect does the number 5 have on the graph, as compared to the graph of y=x^2?
allochka39001 [22]

General Idea:

The Rules for Transformations of Functions are given below:

If f(x) is the original function, a > 0 and c > 0; Then

f(x)+k \; \; shift \; f(x) \; UPWARD \; k \; units\\\\f(x)-k \; \; shift \; f(x) \; DOWNWARD \; k \; units\\\\f(x+h) \; \; shift \; f(x) \; LEFT \; h \; units\\\\f(x-h) \; \; shift \; f(x) \; RIGHT \; h \; units\\\\-f(x) \; \; REFLECT \; f(x) \; in \; the \; x-axis\\\\f(-x) \; REFLECT \; f(x) \; in \; the \; y-axis\\\\a \cdot f(x), \; a>1 \; STRETCH \; f(x) \; vertically \; by \; a \; factor \; of \; a\\\\a \cdot f(x), \; 0

f(ax), \; a>1 \; SHRINK \; f(x) \; horizontally \; by \; a \; factor \; of \;\frac{1}{a}  .\\\\f(ax), \; 0

Applying the concept:

In the function y=5x^2-2, the effect that the number 5 have on the graph, as compared to the graph of y=x^2 is given below:

C.it stretches the graph vertically by a factor of 5

4 0
3 years ago
Read 2 more answers
Which of the following triangles is a scalene triangle?
mixer [17]

the answer is D 6 8 10 is a scalene triangle

4 0
3 years ago
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