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3 years ago

Which of the following values of x make the following functions equal? y = 2x + 6 and y = 6x - 10

Mathematics

1 answer:

Ne4ueva [31]3 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

2x + 6 = 6x -10

4x = 16

x = 4

Pls mark brainiest :)

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40 POINTS!!! PLEASE ANSWER SOON. WILL MARK BRAINLIEST

algol [13]

Answer:

Step-by-step explanation:

N = 6

S = 0 n = 1

2(1) - 1 = 1

S = 0 + 1 = 1

n = n + 1

n = 1 + 1

n = 2

S = 1 n = 2

2(2) - 1 = 3

S = 1 + 3 = 4

n = n + 1

n = 2 + 1

n = 3

S = 4 n = 3

2(3) - 1 = 5

S = 4 + 5 = 9

n = n + 1

n = 3 + 1

n = 4

S = 9 n = 4

2(4) - 1 = 7

S = 9 + 7 = 16

n = n + 1

n = 4 + 1

n = 5

S = 16 n = 5

2(5) - 1 = 9

S = 16 + 9 = 25

n = n + 1

n = 5 + 1

n = 6

S = 25 n = 6

2(6) - 1 = 11

S = 25 + 11 = 36

n = n + 1

n = 6 + 1

n = 7 > N

Stop

4 0

3 years ago

Mom drove 180 miles from home to the hotel in 3 hours how many miles did she drive per hour

Lorico [155]

Answer:

$\huge\boxed{\sf 60 \ miles}$

Step-by-step explanation:

<u>Given that,</u>

3 hours = 180 miles

Divide 3 to both sides

3/3 hour = 180/3 miles

1 hour = 60 miles

So, Mom drove 60 miles in one hour.

$\rule[225]{225}{2}$

8 0

2 years ago

A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she

Nataly_w [17]

Answer:

The minimum sample size needed is $n = (\frac{1.96\sqrt{\sigma}}{4})^2$ . If n is a decimal number, it is rounded up to the next integer. $\sigma$ is the standard deviation of the population.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

$M = z\frac{\sigma}{\sqrt{n}}$

$4 = 1.96\frac{\sigma}{\sqrt{n}}$

$4\sqrt{n} = 1.96\sqrt{\sigma}$

$\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2$

$n = (\frac{1.96\sqrt{\sigma}}{4})^2$

The minimum sample size needed is $n = (\frac{1.96\sqrt{\sigma}}{4})^2$ . If n is a decimal number, it is rounded up to the next integer. $\sigma$ is the standard deviation of the population.

4 0

3 years ago

If AB=50, what are AC and CB?

KiRa [710]

X=6
AC= 14
CB= 36
hope this helps!!

6 0

3 years ago

The measure of angle A is 4 degrees greater than the measure of angle B. The two angles are complementary. Find the measure for

svetlana [45]

Given:
Angle A is 4 degrees greater than the measure of Angle B. Both angles are complementary

Complementary angles have a sum of 90°

Angle A = x + 4° ; Angle B = x

x + 4° + x = 90°
2x = 90° - 4°
2x = 86°
x = 86° ÷ 2
x = 43° ANGLE B.

Angle A = x + 4° ⇒ 43° + 4 = 47°

Given:
Angle D is 5 times the measure of Angle E. These angles are supplementary. This means that their sum is 180°

Angle D = 5x ; Angle E = x

5x + x = 180°
6x = 180°
x = 180° ÷ 6
x = 30° Angle E.

Angle D = 5x = 5(30) = 150°

6 0

3 years ago

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