What is the square root of 789?

Which of the following will form the composite function GFx)) shown

emmasim [6.3K]

The answer to that would be B

8 0

3 years ago

Factor completely by grouping 3u^2+8u-3

stich3 [128]

3u^2+8u-3
with grouping, we have to find 2 numbers which add up to 8 and multiply to 3*(-3)= -9.
testing, we find that 9 and -1 add up to 8 and multiply to -9.
so now we can write the original equation as
3u^2-u+9u-3
you can factor the terms in pairs:
u(3u-1)+3(3u-1)=
(u+3)(3u-1)

8 0

3 years ago

Find the perimeter of a right triangle with a leg of 8 cm and a hypotenuse of 17 cm.

Nookie1986 [14]

Answer:

40cm

Step-by-step explanation:

1. To find the missing leg, use the Pythagorean theorem a²+ b² = c² and substitute the numbers a² + 8² = 17².

2. So a = 15 since 17²-8² = 289 - 64 =225 and the square root of 225 is 15

3. Now that all the lengths have been found. So the perimeter of the right triangle is 40cm.

4 0

3 years ago

Read 2 more answers

The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systo

PIT_PIT [208]

Answer:

The estimate is

$52.02 < \mu < 55.78$

Step-by-step explanation:

From the question we are told that

The sample mean is $\ = x = 53.9$

The sample size is n = 24

The standard deviation is $\sigma = 5.6$

Given that the confidence level is 90% the level of significance is mathematically represented as

$\alpha = 100 - 90$

$\alpha = 10 \%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table.The value is

$Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} } = 1.645$

The reason we are obtaining critical value of $\frac{\alpha }{2}$ instead of $\alpha$ is because $\alpha$

represents the area under the normal curve where the confidence level interval ( $1 - \alpha$ ) did not cover which include both the left and right tail while

$\frac{\alpha }{2}$ is just the area of one tail which what we required to calculate the margin of error

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{ \sqrt{n} }$

substituting values

$E = 1.645 * \frac{5.6 }{ \sqrt{24} }$

$E = 1.880$

The estimate of how much the drug will lower a typical patient's systolic blood pressure(using a 90% confidence level) is mathematically represented as

$\= x - E < \mu < \= x + E$

substituting values

$53.9 - 1.880 < \mu < 53.9 + 1.880$

$52.02 < \mu < 55.78$

5 0

3 years ago

What is the solution to this equation x + 14= -6

Inga [223]

Answer:

This is linear equation you're asked to find C I guess so collect like terms and find X

x=-6-14

x=-20

5 0

3 years ago