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2 years ago

Which ordered pairs make both inequalities true? Check all that apply.

Mathematics

1 answer:

Andrej [43]2 years ago

7 0

We can actually deduce here that the ordered pairs that make both inequalities true are:

(1,1)
(2, 2)

<h3>What is inequality?</h3>

An inequality is known to be an expression that shows that certain variables or values are not equal to each other. It is usually seen in an inequality expression as:

> (greater than)
< (less than)
≥ (greater than or equal to)
≤ (less than or equal to).

We see the attached image that shows the graph of inequality and which completes the question.

The options that complete the question are:

A. –2, 2

B. (0, 0)

C. (1,1)

D. (1, 3)

E. (2, 2)

When we insert the values of each axes into the inequality expressions given, we will discover that the ordered pairs that the inequalities true is (1,1) and (2, 2).

Learn more about inequality on brainly.com/question/25275758

#SPJ1

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Answer:

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Step-by-step explanation:

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2 years ago

Scenario: The Cannon Instructions: View the video found on page 1 of this Journal activity. Using the information provided in th

Artyom0805 [142]

Answer:

Part A

Yes

Part B

He will land at a point 30 meters from Cannon

Step-by-step explanation:

Part A

The given function that represent the path of the Cannon, which is the path of a parabolic arc, is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

We note that the height, 'h', of the path of a parabola at a horizontal distance, 'x' from the origin is equal to f(x)

Therefore, given that at the ground level, at the start and end of the flight, the f(x) = 0, we can write;

-0.05·(x² - 26·x - 120) = 0

∴ x² - 26·x - 120 = 0

x = (26 ± √((-26)² - 4 × 1 × (-120)))/(2 × 1)

Which gives;

x = 30 or x = -4

Therefore, he lands at a point 30 meters from the starting point

Therefore, the function gives enough information to tell where he will land

Part B

He lands at the point, x = 30 from the point the cannon was fired.

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3 years ago

A line with a slope of -1/3 passes through the point (9,3). What is its equation in point-slope form?

amm1812

The point-slope form:

$y-y_1=m(x-x_1)$

We have:

$(9,\ 3)\to x_1=9,\ y_1=3\\\\m=-\dfrac{1}{3}$

Substitute

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3 years ago

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3 years ago

What THREE integers have a sum of 300?

quester [9]

Answer:

Here we will use algebra to find three consecutive integers whose sum is 300. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 300. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 300

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 300

3X + 3 = 300

3X + 3 - 3 = 300 - 3

3X = 297

3X/3 = 297/3

X = 99

Which means that the first number is 99, the second number is 99 + 1 and the third number is 99 + 2. Therefore, three consecutive integers that add up to 300 are 99, 100, and 101.

99 + 100 + 101 = 300

We know our answer is correct because 99 + 100 + 101 equals 300 as displayed above.

Step-by-step explanation:

8 0

3 years ago

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