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3 years ago

Are x = -4 and x = 6 solutions to 5x + 7 < 22? TRUE OR FALSE

Mathematics

2 answers:

DochEvi [55]3 years ago

4 0

Answer:

x=-4 is true, x=6 is not

Step-by-step explanation:

5x + 7 < 22

Plug in our X values

5(-4) + 7 < 22 ?

solve

-20 + 7 < 22

-13 < 22 ?

x=-4 is true.

Repeat steps from ^

5(6) + 7 < 22

30 + 7 < 22

37 < 22 ?

x=6 is not true.

Hope this helped

Varvara68 [4.7K]3 years ago

4 0

Answer:

False

Step-by-step explanation:

5(-4) + 7 < 22

-20 + 7 < 22

-14 < 22

5(6) + 7 < 22

30 + 7 < 22

37 < 22

The statement would be false because when applying 6 to the equation, the equation becomes false.

On the other hand, when applying -4 to the equation, the equation becomes true, but since both -4 and 6 HAVE to be BOTH solutions to the equation, the statement becomes false.

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Rewrite the equation by completing the square. x^2+10x+24 = 0

ser-zykov [4K]

Answer:

(x+5)^2 = 1

Step-by-step explanation:

x^2+10x+24 = 0

Subtract 24 from each side

x^2+10x+24 -24 = 0-24

x^2+10x = -24

Take the coefficient of x

Divide by 2

10/2 =5

Square it

5^2 = 25

Add it to each side

x^2+10x+25 = -24+25

Take the coefficient divided by 2 inside the factor

(x+10/2) ^2 = -24+25

(x+5)^2 = 1

3 0

4 years ago

A 120 lb. person would weigh about 20 lb. on the earth's moon. A 150 lb. person would weigh 28 lb. on Io, a moon of Jupiter. Whi

____ [38]

Answer:

Step-by-step explanation:

Earth's moon makes a person weigh about 1/6 of their Earth weight. Io makes a person weigh more than that, because 1/6 of 150 pounds is 25 pounds.

5 0

4 years ago

PLEASE HELP

zzz [600]

Step-by-step explanation:

3/5x+22=28

3/5x=28-22

3/5x=6

3x=6*5

3x=30

X=30/3

X=10

7 0

3 years ago

The graph shows the system y=2x+1 y=2x^2+1 Which ordered pairs are solutions of the system?

zhenek [66]

Hey!

To solve this problem, we would really have to graph both equations.

OPEN THE FIRST IMAGE

The first image I provided was the image of this equation graphed: y=2x+1

OPEN THE SECOND IMAGE

The second image I provided was the image of this equation graphed: y=2x^2+1

PLEASE DO NOT LOOK AT THE THIRD IMAGE YET!

The first image has two points. One at ( -0.5, 0 ) and the other at ( 0, 1 ).

The second image has only one point, which is at ( 0, 1 ).

OPEN THE THIRD IMAGE

Now, when both are combined we see that they intersect at two points, which are ( 0, 1 ) and ( 1, 3 ).

So, our answer is...

The ordered pairs that are the solution to the system are ( 0,1 ) and ( 1,3 ).

Hope this helped!

- Lindsey Frazier ♥

3 0

4 years ago

Determine if the relation below is a function and state the domain and range.

LUCKY_DIMON [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the relation

{(1, -2), (-2, 0), (-1, 2), (1, 3)}

Please note that there is a repetition of x-values.

i.e. x=1 appears twice times.

This relation does not define a function because every x-value should have been unique and is associated with only one value of y.

Here, the x-values are repeated. Hence, this relation is not a function.

Finding the Domain of a relation:

We know that the domain is the complete set of all first elements of ordered pairs often called x-coordinates.

Domain of a relation: {-1, -2, 1}

Note: Domain is in ascending order and repeated elements are written only once.

Finding the Range of a relation:

We know that the domain is the complete set of all second elements of ordered pairs often called y-coordinates.

Range of a relation: {-2, 2, 3}

Note: Range is in ascending order and repeated elements are written only once.

7 0

3 years ago