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Vera_Pavlovna [14]
3 years ago
10

Solve: 2x ≤ -2/3 (4x + 4)

Mathematics
2 answers:
Sidana [21]3 years ago
6 0
Answer: x ≤ 1

reason:

first, multiply 4x and 4 by -2/3, which leaves you with the equation 2x ≤ -8/3x + 8/3
then, you add 8/3x to both sides, making it 4 2/3x ≤ 8/3
divide both sides by 4 2/3 and you get x ≤ 1
klio [65]3 years ago
4 0

Answer:

x ≤ 4/7

Step-by-step explanation:

Simplify the given 2x ≤ -2/3 (4x + 4) by multiplying both sides by (3/2):

(3/2)(2x) ≤ (3/2)(-2/3)(4x + 4)

We get 3x ≤ -4x - 4

Solve for x by combining like terms.  Add 4x to both sides, obtaining

7x ≤ 4

and so the solution is the set

x ≤ 4/7

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In a bag of marbles 12% were blue 18% were green and the rest were purple if the bag has 150 marbles how many were blue or green
baherus [9]

Answer:

45

Step-by-step explanation:

12 % of the marbles are blue, and

18 % of the marbles are green, so

30 % of the marbles are either blue or green.

There are 150 marbles.

30 % × 150 = 0.30 × 150 = 45

The number of blue or green marbles is 45.

8 0
3 years ago
Help asap with Arcs! 30 Points
alexira [117]
The answer is 15

these chords are congruent because the radius of the circle are perpendicular to the them
so we can find EF by making an equation:
3x + 5 = x + 35 \\ 3x - x = 35 - 5 \\ 2x = 30 \\ x = \frac{30}{2} = 15

so EF is = 3(15)+5=50
good luck
6 0
3 years ago
If P(x)=x^2-1 and q(x)=5(x-1), which expression is equivalent to (p-q)(x)
zheka24 [161]
Okay so you do p(x) -q(x) and you get (x)^2-5x hope this helps. (Also hope that trigonometry I'm taking comes through lol)
7 0
3 years ago
Learning
Pie

Answer:

gsjdudvegdiddbdb

Step-by-step explanation:

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3 0
2 years ago
A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each on
Zielflug [23.3K]

Answer:

The 90% confidence interval using Student's t-distribution is (9.22, 11.61).

Step-by-step explanation:

Since we know the sample is not big enough to use a z-distribution, we use student's t-distribution instead.

The formula to calculate the confidence interval is given by:

\bar{x}\pm t_{n-1} \times s/\sqrt{n}

Where:

\bar{x} is the sample's mean,

t_{n-1} is t-score with n-1 degrees of freedom,

s is the standard error,

n is the sample's size.

This part of the equation is called margin of error:

s/\sqrt{n}

We know that:

n=28

\bar{x}=10.41

degrees of freedom = 27

1-\alpha = 0.90 \Rightarrow \alpha = 0.10

t_{n-1} = 1.703

s = 3.71

Replacing in the formula with the corresponding values we obtain the confidence interval:

\bar{x}\pm t_{n-1} \times s/\sqrt{n} = 10.41 \pm 1.70 \times 3.71/\sqrt{28} = (9.22, 11.61)

Download xlsx
8 0
3 years ago
Read 2 more answers
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