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2 years ago

Indentify the ordered pairs that are solutions to the linear inequality 5x-y>4. Select all that apply

Mathematics

1 answer:

zimovet [89]2 years ago

6 0

Ordered pairs :

A. (4,2)

B. (5,-2)

C.(0,-1)

D.(-3,1)

E. (2,7)

F. (8,4)

Answer:

A, B, F are solution to the inequality

Step-by-step explanation:

5x - y > 4

To obtain the pairs which are solution to the linear inequality ; we plug in each orders pair of values into the inequality :

A.)

(4,2)

5x - y > 4

5(4) - 2 > 4

20 - 2 > 4

18 > 4 - - - - - - - True

(5, -2)

5x - y > 4

5(5) - (-2) > 4

25 + 2 > 4

27 > 4 - - - True

(0, -1)

5x - y > 4

5(0) - (-1) > 4

1 > 4 - - - - - - - Untrue

(-3,1)

5x - y > 4

5(-3) - 1 > 4

-15 - 1 > 4

-16 > 4 - - - - - > Untrue

(2,7)

5x - y > 4

5(2) - 7 > 4

10 - 7 > 4

3 > 4 - - - - Untrue

(8,4)

5x - y > 4

5(8) - 4 > 4

40 - 4 > 4

36 > 4 - - - - - - - True

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Answer:

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Step-by-step explanation:

$58=8hrs

58/8=7.25

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Hope this helps :)

8 0

2 years ago

The product of 6 and the quantity 9 more then the number x is 253

allochka39001 [22]

Answer:

$6(x+9)=253$

Step-by-step explanation:

we know that

The algebraic expression of the phrase"The product of 6 and the quantity 9 more then the number x is 253" is equal to the number 6 multiplied by the sum of x and 9 and this result is equal to 253

$6(x+9)=253$

solve for x

$6x+54=253$

$6x=253-54$

$6x=199$

$x=199/6$

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3 years ago

If y2 = x3 + 2, which statement is true? The equation is a function at all values of x. The equation is not a function. The equa

tatyana61 [14]

Answer:

The equation is not a function.

Step-by-step explanation:

We are given that

$y^2=x^3+2$

$y=\pm\sqrt{x^3+2}$

Function: It is mapping between the values of two sets A and B.

Each element of A has unique value in set B.

By definition of function

In given function

y has no unique value for each value of x.

Substitute x=0

$y=\pm \sqrt{0+2}=\pm \sqrt 2$

Hence, it is not a function.

6 0

3 years ago

Help pleaseeee???!!!

jolli1 [7]

Answer:

h=8

Step-by-step explanation: $\frac{-7}{8} h= -7\\\\(\frac{8}{-7} )(\frac{-7}{8} h)= -7 (\frac{8}{-7} )\\\\\frac{-56}{-56}h = \frac{56}{7}\\\\ h=\frac{56}{7}\\\\h=8$

the goal is to isolate the variable, get it all by itself. to do that in this problem, we have to move the -7/8 away from the h. we do this by multiplying by the reciprocal (the opposite of the fraction). The reciprocal of -7/8 is 8/-7. So multiply both sides by this and you will get h=8

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2 years ago

Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He

kupik [55]

Answer:

The second option is better

Step-by-step explanation:

<u>Total for the first choice:</u>

8000*5.5/100 + 1500 = $1940

<u>Total for the second choice:</u>

8000*3/100 + 2000 = $2240

As we see the second choice is better as more salary is expected

7 0

3 years ago