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2 years ago

7

8 < 4(x+1) show your work

1 answer:

kati45 [8]2 years ago

5 0

8 < 4 (x + 1) Use the Distributive Property
8 < 4x + 4 Subtract 4 from both sides
4 < 4x Divide both sides by 4
1 < x

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which of the following represents a relation that is not a function? a. x -8 -6 7 10 y 33 31 39 33 b. x -8 -6 0 3 y 33 31 39 33

boyakko [2]

X => -8 -6 -8 3
y => 33 31 39 33
is not a function because the x value -8 results to two different y-values 33 and 39.

8 0

3 years ago

Mr yates owns a smoothie shop. To mix a batch of his famous orange punch smoothies, he uses 18 ounces of freshly squeezed orange

HACTEHA [7]

Answer:

31 batches

Step-by-step explanation:

Find how many batches of orange punch smoothies he can make by dividing 560 by 18:

560/18

= 31.11

Since we can only have a whole number answer, round down.

So, he can make 31 batches of orange punch smoothies.

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3 years ago

Let f(x)=3x and g(x)=x^2+5. Perform function operation g(x)/f(x). State the domain.

tangare [24]

We have that

<span>f(x)=3x
g(x)=x</span>²<span>+5
</span>g(x)/f(x)=[x²+5]/[3x]

<span>that new function will exist for all real numbers except the value of zero, value for which it becomes indefinite
</span>
the domain is the interval (-∞,0) U (0,∞)

using a graph tool
see the attached figure

3 0

3 years ago

To get admitted to top universities, the applicant's SAT (Scholastic Aptitude Test) score must be on a very high side. In terms

Gekata [30.6K]

Answer:

A) The applicant's SAT z-score has to be positive and large.

Step-by-step explanation:

The zscore measures how much above or below the mean a value is in a normally distributed sample. The value can be a grade, for example.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$ .

When the zscore of X is negative and large, this means that the grade is on the very low side(very below the mean).

When the zscore of X is negative and small, this means that the grade is on the low side(a bit below the mean).

When the zscore of X is close to 0, the grade is close to the mean.

When the zscore of X is positive and small, this means that the grade is on the high side(a bit above the mean).

When the zscore of X is positive and large(Z > 1), this means that the test score is on a very high side.

The problem states that:

To get admitted to top universities, the applicant's SAT (Scholastic Aptitude Test) score must be on a very high side. So, the correct answer is:

A) The applicant's SAT z-score has to be positive and large.

6 0

3 years ago

4 congruent kites and connected an inscribed within a rectangle. The rectangle is 4 inches wide and 8 inches long. A greeting ca

AveGali [126]

Given:

A rectangular greeting card uses a geometric design containing 4 congruent kites.

Consider the below figure attached with this question.

Length of card = 8 inches

Width of card = 4 inches

To find:

The area of one kite.

Solution:

The kites are connected to each other as shown below.

The length of a kite is:

$\dfrac{8}{2}=4$ inches

The width of a kite is:

$\dfrac{4}{2}=2$ inches

Area of a kite is:

$A=\dfrac{1}{2}d_1d_2$

Where, $d_1,d_2$ are diagonals of the kite.

Length and width of a kite are 4 inches and 2 inches respectively. So, the diagonals of a kite are 4 inches and 2 inches.

Using the above formula, we get

$A=\dfrac{1}{2}(4)(2)$

$A=4$

The area of a kite is 4 sq. in.

Therefore, the correct option is A.

7 0

3 years ago

Read 2 more answers