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3 years ago

What is the inequality shown?

Mathematics

1 answer:

NARA [144]3 years ago

6 0

Answer:

-2 ≤ x ≤ 2

Step-by-step explanation:

There is a coloured in circle above the -2, meaning that x is either bigger than or equal to -2.

There is also a coloured in circle above the 2, meaning that x is either smaller than or equal to 2.

This tells us that the inequality would be:

-2 ≤ x ≤ 2

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For each right triangle below, find the missing side (Pythagorean’s Theorem) and the missing angle (Angle Sum theorem.)

valkas [14]

Answer:

a=21.2

n=√29

Step-by-step explanation:

$90+68.2+a=180$

$a+158.2=180$

$a=21.2$

$2^2+5^2=n^2$

$4+25=n^2$

$n^2=29$

$n=\sqrt{29}$

3 0

3 years ago

The number of people, N, that Denis can invite to his party is dependent on the amount of money, x, in dollars,

gulaghasi [49]

Answer:

N(h) = 2h + 6

Step-by-step explanation:

A model of the number of people that Denis can invite to his party:

N(x) = x/25.............(1)

Where x = amount of money saved

Amount of money saved can be modeled by the equation:

M(h) = 50h + 150...........(2)

In the above model, h = number of overtime hours

M(h) = amount of money saved = x

Therefore equation (1) can be re - written as:

N(x) = M(h)/25.................................(3)

Substituting equation (2) into equation (3)

$N(h) = \frac{50h + 150}{25} \\N(h) = \frac{50h}{25} + \frac{150}{25} \\N(h) = 2h + 6$

Find an explicit expression that models the number of people that Denis can invite to his party if he worked h overtime hours this week can be expressed as:

N(h) = 2h + 6

7 0

4 years ago

Find the slope of (0, 4), (− 5, 2)

vredina [299]

Answer:

⅖ is the slope

Step-by-step explanation:

To find slope:

$\frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} }$

$\frac{2 -4}{ - 5 - 0}$

$\frac{ - 2}{ - 5}$

$\frac{2}{5}$

7 0

3 years ago

John determined that the unit rate for his trip to Orlando was 70 miles every 2 hours. Why is John's determination incorrect? Ca

ahrayia [7]

Answer:

John's determination incorrect because he didn't give a unit rate which is miles per hour (mph).

The actual unit rate for his trip is v;

v = 70 miles ÷ 2 hours

v = 35 miles per hour

v = 35mph

Step-by-step explanation:

Given;

John travels 70 miles in 2 hours

John's determination incorrect because he didn't give a unit rate which is miles per hour (mph).

The actual unit rate for his trip is;

v = 70 miles ÷ 2 hours

v = 35 miles per hour

v = 35mph

5 0

3 years ago

What is the distance between the two points located at (-3,8) and (-3, -7)

Alex777 [14]

<span>
The first point is (x1,y1). The second point is (x2,y2)

Since the first point is (-1, -3), we can say (x1, y1) = (-1, -3)
So ,

Since the second point is (-4, -8), we can also say (x2, y2) = (-4, -8)
So ,

Put this all together to get: , , , and </span>

7 0

3 years ago