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3 years ago

Find a solution of the linear inequality. y ≥ 4x – 5 a. (1, 1) b. (2, 1) c. (3, 4) d. (3, 0)

Mathematics

2 answers:

frez [133]3 years ago

7 0

Answer:

$A(1,1)$

Step-by-step explanation:

we have

$y\geq 4x-5$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be located on the shaded area of the solution of the inequality

Using a graphing tool

Graph the inequality and plot the points

$A(1,1),B(2,1),C(3,4),D(3,0)$

see the attached figure

The point A is located on the shaded area

therefore

the point A is a solution of the inequality

FromTheMoon [43]3 years ago

5 0

Just a matter of subbing in ur answer choices to see which is correct.

(1,1)...x = 1 and y = 1
1 > = 4(1) - 5
1 > = 4 - 5
1 > = -1 (correct)

so ur answer is (1,1)

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Rewrite and Order 6/7 and 9/11

Aleksandr-060686 [28]

Answer:

6/7 = 66/77

9/11 = 63/77

6/7 is greater than 9/11

Step-by-step explanation:

To give fractions a common denominator you must find the LCM(lowest common multiple) of this two denominators.

So, we have 7 and 11. You must find a multiple 7 and 11 share. This means that the number must be divisible by 7 and 11. The LCM for 7 and 11 is 77.

Now we make both the denominators 77.

Now look at the numerators. Look at 6/7. We multipled 7 by 11 to get 77. Therefore, we must also multiply 6 by 11.

Now we have, 66/77

Do the same with the other fraction but other way around:

11 x 7 so

9 x 7 = 63

So,

63/77

So 6/7 is now 66/77 and 9/11 is now 63/77

Now compare:

66 > 63

66 is bigger so 6/7 is greater.

6/7 is greater than 9/11

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2 years ago

4 red balls 4 white balls what is the probability of drawing at least 1 red ball if two balls are drawn

vodomira [7]

The probability of drawing exactly one red ball is given by:
$P(1\ red\ ball)=\frac{4C1\times4C1}{8C2}=\frac{16}{28}$
the probability of drawing two red balls is given by:
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The probability of drawing at least one red ball is:
P(1 red ball) + P(2 red balls) = 16/28 + 6/28 = 11/14.
The answer is $\ \frac{11}{14}$

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4 years ago

Find the slope of the line on the graph

Svetllana [295]

Answer:

m = 1/2

Step-by-step explanation:

Use two points on the line given.

(0 , 2) & (-4 , 0)

You are solving for the slope. The slope formula:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-4 , 0)

(x₂ , y₂) = (0 , 2)

Plug in the corresponding numbers to the corresponding variables:

m = (2 - 0)/(0 - (-4))

Simplify:

m = (2)/( 0 - (-4))

m = (2)/(0 + 4)

m = 2/4

Simplify the slope. Divide the common factor 2 from both the numerator and denominator:

m = (2/4)/(2/2) = 1/2

1/2 is your slope.

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