MATHEMATICS COLLEGE

Which ordered pairs are solutions to the inequality −2x+y≥−4 ?Select each correct answer.

(0, −5)

(3, −1)

(1, −2)

(0, 1)

(−1, 1)

Answers

Answer 1

Answer:

Answer:

(0,-5) , (1,-2) , (0,1) and (-1,1)

Step-by-step explanation:

-2x + y ≥ -4

y ≥ 2x - 4

Taking a point (0,-5):

-5 ≥ 0 - 4 , 5 ≥ -4

This situation is true.

Taking a point (3,-1):

-1 ≥ 2(3) - 4 , -1 ≥ 2

This situation is not true.

Taking a situation (1,-2):

-2 ≥ 2(1) - 4 , -2 ≥ -2

This situation is true.

Taking a point (0,1):

1 ≥ 0 - 4 , 1 ≥ -4

This situation is true.

Taking a point (-1,1):

1 ≥ 2(-1) - 4 , 1 ≥ -6

This situation is true.

Answer 2

Answer:

The correct answers are

(−1, −1)

(5, −12)

(0, 1)

Have a nice day!

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The table shows a relationship between and y-values.which statement describes the pattern created by the values?
» Each y value is determined by
multiplying each x value by 3, so the
pattern is multiplicative
» Each y value is determined by adding
4 to each x value, so the pattern is
additive
» Each y-value is determined by adding
2 to each value, so the pattern is
additive
» Each y value is determined by
multiplying each value by 2, so the
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Done

Answers

Answer:

Do you mind giving a picture of the table?

Answer:your answer is Each y-value is determined by adding 4 to each x-value by so the pattern is addictive

Step-by-step explanation:

We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of

Answers

CHECK THE ATTACHMENT FOR COMPLETE QUESTION

Answer:

We can show that ΔABC is congruent to ΔA'B'C' by a translation of 2 unit(s) Left and a Reflection across the x axis.

Step-by-step explanation:

We were given triangles ABC and A'B'C' of which were told are congruents,

Now we can provide the coordinates of A and A' from the given triangles ΔABC and ΔA'B'C' ,if we choose a point of A from ΔABC and A' from ΔA'B'C' we have these coordinates;

A as (8,8) and A' (6,-8) from the two triangles.

If we shift A to A' , we have (8_6) = 2 unit for that of x- axis

If we try the shift on the y-coordinates we will see that there is no translation.

Hence, the only translation that take place is of 2 units left.

It can also be deducted that there is a reflection

by x-axis to form A'B'C' by the ΔABC.

BEST OF LUCK

An experiment is pulling a ball from an urn that contains 3 blue balls and 5 red balls. a.) Find the probability of getting a red ball. b.) Find the probability of getting a blue ball. c.) Find the odds for getting a red ball. d.) Find the odds for getting a blue ball.

Answers

Answer:

Step-by-step explanation:

The urn contains 3blue balls 5 red balls

a) probability of getting a red ball

P=no of favourable of outcomes /total no outcomes

P(red ball) = 5/8

b) Probability of blue ball

P(blue ball) = 3/8

c) Odds getting a red ball

odds in favour of any object = m/n

m : event to occur

n : event will not occur

Odds(red ball) = 5/3

Odds(blue) = 3/5

Write the rate as a unit rate:
400 miles in 8 hours

Answers

The rate as a unit rate of 400 miles in 8 hours is 50 miles.

What is difference between rate and unit rate ?

"The process of breaking down the cost to a smaller unit reveals the unit rate of the product. Since rate is a ratio that compares two different units."

Based on the given conditions,

Rate as a unit rate :

= $(400)/(8)$