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aleksandrvk [35]
2 years ago
6

e=" | {x}^{2} + 3x +2 | < 2x + 4" alt=" | {x}^{2} + 3x +2 | < 2x + 4" align="absmiddle" class="latex-formula">
solve the following inequalities​
Mathematics
1 answer:
Snezhnost [94]2 years ago
7 0

\\ \tt\hookrightarrow |x^2+3x+2|

Either

\\ \tt\hookrightarrow x^2+3x+2

\\ \tt\hookrightarrow x^2+3x+2x

\\ \tt\hookrightarrow x^2+5x+6

\\ \tt\hookrightarrow (x+2)(x+3)

\\ \tt\hookrightarrow x

Or

\\ \tt\hookrightarrow x^2+3x+2

\\ \tt\hookrightarrow x^2+x-2

\\ \tt\hookrightarrow x^2+2x-x-2

\\ \tt\hookrightarrow (x+2)(x-1)

\\ \tt\hookrightarrow x

So

\\ \tt\hookrightarrow x\in (-3,1)

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7 over 8 devided by 19
Tasya [4]

Answer:

7/152

or 0.046

6 0
3 years ago
PRACTICE ANOTHER The administration of a large university wants to take a random sample to measure student opinion of a new food
Reil [10]

Answer:

81 samples

Step-by-step explanation:

According to the empirical rule :

Possible values of the sample mean is within 3 standard deviations of the population mean :

μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.

3 * sd(x) = 1

sd(x) = 1/3

Recall:

Standard deviation of sampling distribution, sd(x)

sd(x) = σ / sqrt(n)

1/3 = 3 / sqrt(n)

Square both sides

1/9 = 9/n

Cross multiply :

n * 1 = 9 * 9

n = 81

3 0
3 years ago
A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone i
kondaur [170]
Given:
Volume of the cone = π r² h/3

radius of the cone is half the radius of the cylinder ⇒ r/2
height of the cone is equal to the radius of the cylinder. ⇒ r

V = 3.14 * (r/2)² * r/3
V = 3.14 * r²/4 * r/3
V = 3.14r³ / 12

4 0
3 years ago
Read 2 more answers
Kinda need some help:)
Natali [406]
1.
f(x) = x
g(x) = x + 3

For each x value you use in f(x) and g(x), the corresponding y value in g(x) is always 3 more than in f(x). If each y-coordinate is 3 more, that means the graph is shifted 3 units up. The graph of f(x) is shifted 3 units up to create the graph of g(x).

2.
The first term is -0.5.
Then each term goes up by 0.25.

1st term: -0.5
2nd term: -0.5 + 0.25 = -0.5 + 0.25(1)
3rd term: -0.5 + 0.25 + 0.25 = -0.5 + 0.25(2)
4th term: -0.5 + 0.25 + 0.25 + 0.25 = -0.5 + 0.25(3)
nth term: -0.5 + 0.25(n - 1)

-0.5 + 0.25(n - 1) = -0.5 + 0.25n - 0.25 = -0.75 + 0.25n = 0.25n - 0.75

Answer is C.
5 0
3 years ago
The graph of the function f(x) =x^2 is shown on the grid below. Graph the function g(x) =(x-2)^2 -4 in the interactive graph.
Anastasy [175]

Answer:

shift it down by 4 units

Step-by-step explanation:

by the placement of the -4 it can be determined that you would shift it according to the y axis

The formula a(x-h)^2 + k = y

h represents change in x, k represents change in y

-k means shift down

5 0
3 years ago
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