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2 years ago

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When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary l

ine? A.) Picture 1 B.) Picture 2 C.) Picture 3 D.) Picture 4

1 answer:

Aleksandr [31]2 years ago

4 0

The answer is B.) 2nd. Picture

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The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 sq

lara [203]

Answer:

Part 1) The constant of variation is $k=1/9$

part 2) The equation is $y=\frac{1}{9}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

x -----> the number of square feet

y -----> the number of square yards

Three square yards are equivalent to 27 square feet

so

we have the point (27,3)

Part 1) What is the constant of variation?

The constant of variation or proportionality is equal to

$k=y/x$

substitute the values

$k=3/27$

Simplify

$k=1/9$

Part 2) What is the equation representing the direct variation?

we know that

$y=kx$

substitute the value of k

$y=\frac{1}{9}x$

3 0

2 years ago

Read 2 more answers

Which equation can be used to solve for c? Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The

aliina [53]

Answer:

The correct option is B) $c=\frac{5}{\cos35^0}$ .

Step-by-step explanation:

Consider the provided information.

Angle A C B is 90 degrees and angle A B C is 35 degrees.

The required figure is shown below:

We need to find the value of c.

Use the trigonometric function: $\cos\theta=\frac{Adjacent}{Hypotenuse}$

$\cos35^0=\frac{5}{c}$

$c=\frac{5}{\cos35^0}$

Hence, the correct option is B) $c=\frac{5}{\cos35^0}$ .

4 0

2 years ago

Read 2 more answers

A local cable company claims that the proportion of people who have Internet access is less than 63%. To test this claim, a rand

MaRussiya [10]

Answer:

Step-by-step explanation:

For the null hypothesis,

H0 : p = 0.63

For the alternative hypothesis,

Ha : p < 0.63

This is a left tailed test

Considering the population proportion, probability of success, p = 0.63

q = probability of failure = 1 - p

q = 1 - 0.63 = 0.37

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 478

n = number of samples = 800

P = 478/800 = 0.6

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76

From the normal distribution table, the area below the test z score in the left tail 0.039

Thus

p = 0.039

7 0

2 years ago

In the diagram of circle o, what is the measure of ABC?<br> 27°<br> 54°<br> 108°<br> 120°

Vlad1618 [11]

<u>Given</u>:

Given that a circle O with two tangents BA and BC.

The major arc AC is 234°

The minor arc AC is 126°

We need to determine the measure of ∠ABC

<u>Measure of ∠ABC:</u>

We know the property that, "if a tangent and a secant, two tangents or two secants intersect in the interior of the circle, then the measure of angle formed is one half the difference of the measures of the intercepted arcs."

Hence, applying the above property, we have;

$\angle ABC=\frac{1}{2}( major \widehat{AC} - minor \widehat{AC})$

Substituting the values, we get;

$\angle ABC=\frac{1}{2}( 234^{\circ} -126^{\circ})$

$\angle ABC=\frac{1}{2}( 108^{\circ})$

$\angle ABC=54^{\circ}$

Thus, the measure of ∠ABC is 54°

Hence, Option b is the correct answer.

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2 years ago

Paul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeves shirts cost

luda_lava [24]

This is the whole problem : Paul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt did he buy?

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2 years ago