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cestrela7 [59]
4 years ago
6

Which points are solutions to the linear inequality y < 0.5x + 2? Select three options.

Mathematics
2 answers:
Vlad1618 [11]4 years ago
5 0

Answer:

A, C, E

Step-by-step explanation:

substitute for x in each option and check if the value of y satisfies the inequality

UNO [17]4 years ago
4 0

Answer:

Option A, C and E

Step-by-step explanation:

We have to find points which are solution to the linear inequality ( y<0.5x + 2)

(a) For (-3, -2)

-2 < (0.5 × 3 + 2)

-2 < 1.5 + 2

-2 < 3.5

True, It's a solution.

(b) For (-2, 1)

1 < 0.5 × (-2) + 2

1 < -1 + 2

1 < 1

False, it's not a solution

(c) For (-1, -2)

-2 < 0.5 (-1) +2

-2 < -1 + 2

-2 < 1

True, It's a solution.

(d) For (-1, 2)

2 < 0.5 (-1) + 2

2 < -1 + 2

2 < 1

False, It's not the solution.

(e) For (1, -2)

-2 < 0.5 (1) + 2

-2 < 2.5

True It's a solution

Therefore, Option A, C and E are the solutions.

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Answer with explanation.please.
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The radius of the base is 10 cm.

Solution:

Height of a cone = 15 cm

Volume of the cone = 1570 cm³

To find the radius of the base of the cone:

Volume of the cone = \frac{1}{3}\pi r^2 h

$\Rightarrow \frac{1}{3}\pi r^2 h=1570

$\Rightarrow \frac{1}{3}\times\ 3.14\times r^2 \times 15=1570

$\Rightarrow\ 3.14\times r^2 \times 5=1570

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Divide by 15.7 on both side of the equation, we get

$\Rightarrow r^2 =100

Taking square root on both sides of the equation, we get

⇒ r = 10

Hence the radius of the base is 10 cm.

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4 years ago
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Answer:

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Step-by-step explanation:

The given expressions for magnitude (M) can be solved for the intensity (I). Then the ratio of intensities is ...

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The larger earthquake had about 50 times the intensity of the smaller one.

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3 years ago
Trevonne is spending money each week on food. He started with $500 in his bank account. Each week Trevonne spends $15 on food.
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Step-by-step explanation:

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1 oz of walnuts were mixed with 4 oz of peanuts which cost $4/oz to make mixed nuts which cost $5/oz. what is the price per oz o
Zanzabum
Call w the unknwon price of the walnuts, then:

total cost of walnuts = 1oz *  w

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3 0
3 years ago
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