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GREYUIT [131]
3 years ago
12

How many solutions 4(x-5)=3x+7

Mathematics
1 answer:
ohaa [14]3 years ago
5 0
4(x-5)=3x+7 \\ \\ 4x - 20 = 3x + 7 \\ \\ 4x = 3x + 7 + 20 \\ \\ 4x = 3x + 27 \\ \\ 4x - 3x = 27 \\ \\ x = 27 \\ \\

The final result is: x = 27
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What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form. A. Show your work. B. Is the product of 2x -
VikaD [51]

Answer:

A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.

6x³ - 5x² - 39x + 35 = 0

B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?

No it is not.

Step-by-step explanation:

A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.

(2x - 5) (3x² + 5x - 7)

= 2x(3x² + 5x - 7) -5(3x² + 5x - 7)

= 6x³ + 10x² - 14x -15x² - 25x +35

Collecting like terms

= 6x³ +10x² - 15x² - 14x - 25x +35

= 6x³ - 5x² - 39x + 35

In standard form

6x³ - 5x² - 39x + 35 = 0

B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?

First we find the product of

5x - 2 and 3x² + 5x - 7?

(5x - 2) (3x² + 5x - 7)

5x(3x² + 5x - 7) -2(3x² + 5x - 7)

15x³ + 25x² - 35x - 6x² -10x + 14

Collect like terms

15x³+ 25x² - 6x² -35x - 10x + 14

15x³ + 19x² - 45x + 14 = 0

Hence, the product of 5x - 2 and 3x^2 + 5x - 7

= 15x³ + 19x² - 45x + 14 = 0

The product of 2x -5 and 3x^2 + 5x -7 = 6x³ - 5x² - 39x + 35 = 0

Comparing both products, we can see that

The product of 2x -5 and 3x^2 + 5x -7 ≠ the product of 5x - 2 and 3x^2 + 5x - 7

6 0
3 years ago
What is the solution of (8x-8)^3/2=64<br>Edit; the answer is x=3
Talja [164]

I guess since you have the correct answer there that you need to know how to get it. Start by rewriting that exponent as a radical. It would look like this: \sqrt{(8x-8)^3}=64. The first step is to undo that square root by squaring both sides. That will give you this: (8x-8)^3=4096. Next we have to undo that cubing by taking the cubed root of both sides, leaving us with this: 8x-8=16. We add 8 to both sides to get 8x = 24 and x = 3.

6 0
3 years ago
I have to put 20 characters so here we are. Pls help tho.
DENIUS [597]

ABC is an isosceles triangle so AB =  BC

Plug in

x + 4 = 3x - 8

-2x = - 12

x = 6

AC = x = 6

Answer

6 units

6 0
3 years ago
275 liters to millimeters​
Bogdan [553]

Answer:

2,75,000 mL

Step-by-step explanation:

1 Litre = 1000 ml

So,

275 Litres = 275 x 1000 mL

                 = 2,75,000 mL

6 0
3 years ago
21 1/2% of 250 is what number?
RideAnS [48]

Answer: 52.5

Percentage Calculator: What is 21 percent of 250? = 52.5.

Step-by-step explanation:

6 0
3 years ago
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