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3 years ago

Identify the graph of the inequality 2(2x-1)+7 < 13 or -2x + 5 <-10.

Mathematics

2 answers:

stira [4]3 years ago

7 0

Answer:

C is the right answer

Step-by-step explanation:

2(2x- 1) + 7< 13

4x - 2 + 7< 13

add -2 + 7

4x + 5 < 13

4x < 13 - 5

4x <8

x < 2

-2x + 5 <=

ValentinkaMS [17]3 years ago

7 0

Answer:

The answer on edge 2020 is C

Step-by-step explanation:

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In the figure below, secant PQ intersects the circle at R and secant SQ intersects the circle at point T. What is the value of z

BabaBlast [244]

Answer:

Step-by-step explanation:

6×(6+14) = 5×(5+z)

120 = 25 + 5z

95 = 5z

z = 19

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2 years ago

I’ll give extra points!!

Svetach [21]

Answer:
10

Explanation:
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3 years ago

A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic

aliya0001 [1]

Answer:

P-value = 0.4846

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.73

Sample mean, $\bar{x}$ = 4.35

Sample size, n = 51

Alpha, α = 0.05

Sample standard deviation, s = 3.88

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 4.73\\H_A: \mu \neq 4.73$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{4.35 - 4.73}{\frac{3.88}{\sqrt{51}} } = -0.699$

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

We can calculate the p-value with the help of standard normal table.

P-value = 0.4846

Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.

We conclude that this college has same drinking habit as the college students in general.

7 0

3 years ago

Write an equation of a polynomial with the given characteristics: a quadratic function has x -intercepts of -3 and 1, and a y-in

fredd [130]

Answer:

f(x) = -3(x+3)(x-1)

Step-by-step explanation:

x = -3 & 1; f(x) = 9

f(x) = a(x-r1)(x-r2)

f(0) = a(x-r1)(x-r2) = 9; 9 = a(0-(-3))(0-1)

9 = a(3)(-1); 9 = a(-3)

a = -3

f(x) = -3(x+3)(x-1)

5 0

3 years ago

Read 2 more answers

What is the quotient of -8(^6)/4x(^-3)

Anna [14]

For this case we must find the quotient of the following expression:

$\frac {-8x ^ 6} {4x ^ {- 3}} =$

By definition of power properties we have:

$a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}$

Rewriting the expression we have:

$\frac{-8}{4}*x^6*x^3$

By definition of multiplication of powers of the same base we have to put the same base and add the exponents:

$-2x^{6+3}$

Answer:

$-2x ^ 9$

8 0

3 years ago