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3 years ago

(5x+2)/8=x/6 what value will make it true??

Mathematics

2 answers:

Naya [18.7K]3 years ago

8 0

X should equal -6/11 if I read the equation right

Pavel [41]3 years ago

7 0

Answer:

-6/11 =x

Step-by-step explanation:

We can use cross products to solve

(5x+2)/8=x/6

6 ( 5x+2) = 8x

Distribute

30x + 12 = 8x

Subtract 30x from each side

30x -30x +12 = 8x - 30x

12 = -22x

Divide each side by -22

12/-22 = -22x/-22

-6/11 =x

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2 years ago

Jake and amber worm at McDonald's they each earn $8 per hour jake works three more hours then amber if jake and amber made a tot

Nadya [2.5K]

Answer:

9 hours

Step-by-step explanation:

Set up the equations: x is the amount of hours Amber worked and y is the hours Jake worked

8x + 8y = 120

y = 3 + x

Substitute the second equation into the first

8x + 8(3+x) = 120

Distribute

8x + 24 + 8x = 120

Combine like-terms

16x + 24 = 120

Subtract 24 on both sides

16x = 96

Divide 16 on both sides

x = 6 (hours Amber worked)

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y = 3 + 6

y = 9

7 0

3 years ago

Help please!!!

katovenus [111]

Answer:

x = $\frac{7+\sqrt{47}\times i }{4}$

Step-by-step explanation:

<u>To solve quadratic systems,we always substitute one variable in terms if the other and then solve the equation.</u>

x + 2y = 6 ---------------(1)

y - 5 = $(x-2)^{2}$ ---------------(2)

y = $(x-2)^{2}$ + 5 ---------------(3)

Substitute (3) in (1) ,

x + 2( $(x-2)^{2}$ + 5 ) = 6

$(a + b)^{2}$ = $a^{2} + 2ab + b^{2}$

x + 2( $x^{2} - 4x + 4$ + 5 ) = 6

$2x^{2} - 7x + 12=0$ --------------(4)

The roots of the quadratic equation $ax^{2} +bx+c$ is

x = $\frac{(-b) + \sqrt{(-b)^{2}-4 \times ac } }{2 \times a}$ -----------(5)

According to equation (5),solution of (4) is

x = $\frac{7 + \sqrt{(-7)^{2}-4 \times 24 } }{2 \times 2}$

x = $\frac{7+\sqrt{49-96}}{4}$

x = $\frac{7+\sqrt{47}\times i }{4}$

4 0

3 years ago

What are 2 binomials that are factors of this trinomial? x^2-x-20

liberstina [14]

Answer:

(x-5) (x+4)

Step-by-step explanation:

x^2 -x -20

What two terms multiply to -20 and add to -1

-5*4 = -20

-5+4 = -1

(x-5) (x+4)

8 0

2 years ago

Read 2 more answers