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3 years ago

Put the linear inequality into slope-intercept form.

Mathematics

1 answer:

Ugo [173]3 years ago

8 0

Answer:

y ≤ $\frac{7}{4}x - 5$

Step-by-step explanation:

We are to put the linear inequality;

7x - 4y ≥ 20

in slope intercept form.

We can rearrange the inequality as;

-4y ≥ - 7x + 20

Dividing throughout by -4 we get;

y ≤ $\frac{7}{4} x$ - 5

Note that the inequality sign '≥' changes to '≤' since we divided all through with a negative number.

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What number will the function return if the input is 15.4?

wlad13 [49]

The rule of the function is to multiply the input by 3, since one yard is equal in length to three feet.

So, if the input is 15.4, the output will be

$f(x)=3x \implies f(15.4)=3\cdot 15.4 = 46.2$

4 0

2 years ago

(x-6)² + (x + 5)² = 16

Phoenix [80]

Answer:

answer A : (2 -5)

Step-by-step explanation:

the midipoint P,Q is the center A of this circle (because PQ is a diameter)

use : (x-6)²+(x+5)² = 16 you have : A(6 , -5) now let Q(x,y) :

(x+10)/2 = 6

(y-5)/2 = - 5

x+10 = 12

y-5 = -10

so : x = 2 and y = - 5....answer A : (2 -5)

6 0

3 years ago

2 13/18 −z=1 19/36 <br><br>Answer

allsm [11]

Answer:

Answer is z= 43/36

Step-by-step explanation:

We have given,

2 13/18 - z = 1 19/36

Since 2 13/18 = 49/18 and 1 19/36 = 55/36

So we can write,

2 13/18 - z = 1 19/36

or 49/18 - z = 55/36

or 49/18 - 55/36 = z

or (98 -55)/36 = z

or 43/36 = z

Hence we got z = 43/36

3 0

3 years ago

The spinner shown is

laiz [17]

Answer:

where is the spinner

Step-by-step explanation:

3 0

2 years ago

Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the su

Umnica [9.8K]

The phrase has two parts:

Five times the sum of a number and eleven, divided by three times the sum of the number and eight

Let the number be x. Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:

5(x + 11)

Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:

3(x + 8)

So, the overall expression will be:

$\frac{5(x+11)}{3(x+8)}$

4 0

2 years ago