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3 years ago

What is the solution to the equation 4x-6=10x-3

Mathematics

1 answer:

egoroff_w [7]3 years ago

8 0

Answer:

x = -1/2

Step-by-step explanation:

4x - 6 = 10x - 3

+6 +6

4x = 10x + 3

-10x -10x

-6x = 3

/-6 /-6

x = -1/2

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Factor the polynomial 8k^2 +80k +200

blondinia [14]

<h3>Solution:</h3>

$8 {k}^{2} + 80k + 200 \\ = 8( {k}^{2} + 10k + 25) \\ = 8 [{k}^{2} + 2(k)(5) + ({5})^{2} ] \\ = 8( k + 5) ^{2}$

<h3>Answer:</h3>

$8( k + 5) ^{2}$

<h3>Hope it helps..</h3>

ray4918 here to help

6 0

3 years ago

The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 ho

Elenna [48]

Answer:

The temperature in 4 hours = -2 °F

Thus, option (D) is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

$y = mx+b$

where m is the rate of change or slope and b is the y-intercept

Let 'y' be the temperature

Let 'x' be the time of the temperature in the hour

Given that the current temperature outside = 10°F.

Thus, the y-intercept = b = 10°F

Given that as the day went on, It will fall at a constant rate of 3°F per hour.

Thus, the slope or rate of change = -3°F

(The rate of change or slope is -3 because the temperature is reducing)

Thus, the rate of change = slope = m = -3

Thus, substituting m = -3 and b = 10 in the equation

$y = mx+b$

$y = -3x + 10$

Now, substituting x = 4 to determine the temperature after 4 hours.

y = -3(4) + 10

y = -12 + 12

y = -2 °F

Therefore, the temperature in 4 hours = -2 °F

Thus, option (D) is true.

5 0

3 years ago

Hellllllllllllllllllllllllpppppppppppppppppppppppppp

FrozenT [24]

Answer:

What grade is this?

Step-by-step explanation:

6 0

3 years ago

A) 22-2•6=?<br> B) 6-1/4•16+21 divided by 3=?<br> C ) ( 8-5) ( 5-3) to the second power=?

sergejj [24]

The question has been solved based on the assumption that • represents multiplication operation

We will follow the rule of BODMAS to solve the questions. BODMAS means we solve the expression within the bracket first, then conduct division operation, followed by multiplication, addition and subtraction.

Part A

22-2•6

Let 22-2•6 be X

⇒ X = 22 - 12 (Conducting multiplication operation first)

⇒ X = 10 (Conducting subtraction next)

Part B

6-1/4•16+21 divided by 3 indicates that the first part of the expression ( 6-1/4•16+21) needs to be divided by 3.

Let 6-1/4•16+21 divided by 3 be Y

⇒ Y = (6-1/4•16+21) ÷ 3

⇒ Y = (6-0.25•16+21) ÷ 3 (Solving the bracket first and starting with the division operation)

⇒ Y = (6-4+21) ÷ 3 (Conducting the multiplication operation next)

⇒ Y = (6-17) ÷ 3 (Conducting the addition operation next)

⇒ Y = (11) ÷ 3 (Conducting the subtraction operation next)

⇒ Y = 3.333... (Moving out of the bracket and conducting the remaining operation)

Hence, Y = 3.333...

Part C

(8-5) (5-3) to the second power indicates that the brackets need to be solved first. Also, power operation is conducted before division or multiplication.

Let (8-5) (5-3) to the second power be Z

⇒ Z = (3) (2) to the second power (Solving the brackets first)

⇒ Z = (3) (2²) (Conducting the power operation next)

⇒ Z = (3) (4)

⇒ Z = 12 (Conducting the multiplication operation next)

Hence, Z = 12.

7 0

3 years ago

The sum of thrice a number and 5 is greater than or equal to the sum of twice a number and 1. Write down the inequality and solv

sertanlavr [38]

Answer:

May be helpful.

thx.......

7 0

1 year ago