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3 years ago

Which of the following ordered pairs represents a solution to the linear inequality y>2x-3?

Mathematics

1 answer:

devlian [24]3 years ago

7 0

Answer:

B (2, 5).

Step-by-step explanation:

Y is greater than 2x-3.

Check each one in turn:

A. (4,4) ; y = 4 and 2x-3 = 2(4)-3 = 5. NOT a solution ( y<2x-3 in this case).

B. (2, 5): y = 5 and 2x - 3 = 2(2) - 3 = 1 so y>2x-3 and this point IS a solution.

C. (3, 2) y = 2 and 2x-3 = 3 - NOT a solution.

D. (9, 12) y = 12 and 2x-3 = 15 - Not a solution.

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Find the value of x in the isosceles triangle shown below.

dybincka [34]

USING PYTHAGORAS THEORAM,

x²+3²= 5²

x²+9= 25

x²= 25-9 = 16

x= √16

x= 4

OPTION D

6 0

3 years ago

Sandra needs to make 500 L hand sanitizer with 75% alcoholic solution. He has only two of the alcoholic solutions available, a 6

shtirl [24]

If Sandra mixes x L of 65% solution with y L of 90% solution, then the resulting mixture has a total volume of

x + y = 500

litres, and it contains

0.65x + 0.90y = 0.75 (500) = 375

litres of alcohol.

Solve the first equation for y :

y = 500 - x

Substitute this into the second equation and solve for x :

0.65x + 0.90 (500 - x) = 375

0.65x + 450 - 0.90x = 375

75 = 0.25x

x = 300

Solve for y :

y = 500 - 300

y = 200

So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.

8 0

3 years ago

WILL GIVE BRAINLIEST

Alona [7]

Given:

One linear function represented by the table.

Another linear function represented by the graph.

To find:

The greater unit rate and greater y-intercept.

Solution:

Formula for slope (unit rate):

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the given table it is clear that the linear function passes through (0,5) and (5,15). The function intersect the y-axis at (0,15), so the y-intercept is 15.

$m_1=\dfrac{15-5}{5-0}$

$m_1=\dfrac{10}{5}$

$m_1=2$

So, the unit rate of first function is 2.

From the given graph it is clear that the linear function passes through (0,6) and (-4,0). The function intersect the y-axis at (0,6), so the y-intercept is 6.

$m_2=\dfrac{0-6}{-4-0}$

$m_2=\dfrac{-6}{-4}$

$m_2=\dfrac{3}{2}$

So, the unit rate of first function is $\dfrac{3}{2}$ .

Now,

$2>\dfrac{3}{2}$

$m_1>m_2$

And,

$15>6$

Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of the two functions is 15.

4 0

3 years ago

Read 2 more answers

Write a number sentence for the problem. Usefor the missing number. Then solve . 29 children rode their bikes to school. After s

Elza [17]

Answer:

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Step-by-step explanation:

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3 years ago

Jill estimated she would spend $50.00 a month on clothing. However, at the end of the year she discovered she actually spent $71

RideAnS [48]

50$ per month for 12 years would mean she spent only (50 x 12) 600$ per year.

She actually spent $711, her forecast was off target by (600-7111) $111.

She exceeded her budget by $111

5 0

3 years ago