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Digiron [165]
3 years ago
6

Solve the inequality. Write the solution in interval notation. Choose the correct solution. 6x > – 24

Mathematics
1 answer:
Phoenix [80]3 years ago
5 0
Divide by 6.
  -4 < x

The appropriate solution is (-4, ∞).

_____
No value is equal to ∞, so (-4, ∞] seems inappropriate. Since the comparison symbol is < rather than ≤, [-4, ∞) is definitely inappropriate.
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e. Translate the word problem below into an equation; then solve. It only takes Vera 2 hours to sew 1 dress, but it takes Ivy 4
Daniel [21]

Using the together rate, it is found that it would take them 16 hours to sew 12 dresses.

<h3>What is the together rate?</h3>

The together rate is the <u>sum of each separate rate</u>.

In this problem, we have that:

  • Vera's rate is of 1/2.
  • Ivy's rate is of 1/4.

Hence, the together rate is the time it would take them to produce one dress working together, and is given by:

\frac{1}{x} = \frac{1}{2} + \frac{1}{4}

\frac{1}{x} = \frac{2 + 1}{4}

3x = 4

x = \frac{4}{3}

Then one dress takes \frac{4}{3} of an hour, and the time for twelve dresses is:

t = 12 \times \frac{4}{3} = 4(4) = 16

It would take them 16 hours to sew 12 dresses.

To learn more about the together rate, you can take a look at brainly.com/question/25159431

6 0
2 years ago
Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 miles head start. Harper runs 0.5 mile per hou
igomit [66]
S=d/t
for liam
4=.25/t
t=.25/4
t=0.0625hours
for harper
t=0.25/4.5=0.055hours
msg me if it helps
4 0
3 years ago
SOMEONE PLEASE HELP ME I DONT KNOW HOW TO DO THIS AT ALL
Lina20 [59]

Answer:

y=2cos(4\pi x)\\&#10;

Step-by-step explanation:

Since the amplitude of the cosine function is 2, I would put the multiply it by 2. There is no phase shift

The period is 1/2, so it would be 4pi

Plug them in into y=Acos(Bx), y=2cos(4pix)

6 0
2 years ago
Is the set closed or not closed under operation? Negative Integers under multiplication
Nutka1998 [239]

The set is not closed

Example

-4 * -2 = 8

8 is not a negative integer

8 0
3 years ago
In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided t-te
andreyandreev [35.5K]

Answer:

i use the two sided t-test.

Step-by-step explanation:

it would be nearly impossible to ascertain with certain the proposition above but we would rather guess using the parameters that were available at the time.

generally in statistics, we use a two sided t-test when an area of a distribution is two-sided and tests whether a particular given sample in question  is greater than or less than a exact range of values.

the two sided t-test  is mostly used in null-hypothesis testing and testing for statistical significance.

4 0
3 years ago
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