Solve the following:
43/(-12 + 22)
(2x3)2 + (-5x2x3) + 2
Give your answer in simplest form.

Answer:

rational as it can be in form b/q

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

For what values of x is the equation x² − x = 20 true?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf \: x ^ { 2 } - x = 20[/tex]

Subtract 20 from both sides.

[tex] \sf \: x^{2}-x-20=0 [/tex]

To solve the equation, factor [tex]\sf\: x^{2}-x-20[/tex] using formula [tex]\sf\:x^{2}+\left(a+b\right)x+ab=\left(x+a\right)\left(x+b\right)[/tex]. To find a and b, set up a system to be solved.

[tex] \sf \: a+b=-1 \\ \sf \: ab=-20 [/tex]

As ab is negative, a and b have the opposite signs. As a+b is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product -20.

[tex] \sf1,-20 \\ \sf 2,-10 \\ \sf4,-5 [/tex]

Calculate the sum for each pair.

[tex] \sf1-20=-19 \\ \sf2-10=-8 \\ \sf 4-5=-1 [/tex]

The solution is the pair that gives sum -1.

[tex] \sf \: a=-5 \\ \sf \: b=4 [/tex]

Rewrite factored expression [tex]\sf \left(x+a\right)\left(x+b\right) [/tex] using the obtained values.

[tex] \sf\left(x-5\right)\left(x+4\right) [/tex]

To find equation's solutions, solve x-5=0 and x+4=0.

[tex] \bf \: x=5 \\ \bf x=-4[/tex]

⇨ The values of x are 5 & - 4.

Answer:

$585,000. 95% of $300,000 = $285,000. $300,000 + $285,000 = $585,000. hope this helps

Step-by-step explanation:

- Zombie

Answer:

the awnser of this question is 3,5,8

Length of distance of arc = 2πr × (∅/360)

∅ = 1/60 × 360 = 6⁰

Length = 2 × 22/7 × 3960(6/60)

Length = 44/7 × 3960 × 1/10

Length = 44/7 × 396

Length = 2489.142 cm

[tex]\text{Suppose the width of the rectangle is }x\text{ cm}[/tex]

[tex]\text{then the perimeter can be expressed as}[/tex]

[tex]2(24+x)=72[/tex]

[tex]24+x=36[/tex]

[tex]x=12[/tex]

[tex]\text{Therefore the area of the rectangle is }24\cdot x=24\cdot 12=288\text{ cm}{}^2[/tex]

Answer: Solution,

length (l) = 24 cm

perimeter (p)= 74 cm

Area (A) = ?

we know,

P = 2(l + b )

74 = 2( 24 + b)

74 = 48 + 2b

2b = 74 - 48

2b = 26

b= [tex]\frac{26}{2}[/tex]

b = 13

now,

A = l*b

   = 24 * 13

   = 312 cm square

Therefore, the area of the rectangle is 312 cm square.

Answer:

1

Step-by-step explanation:

Answer:

i believe the answer is 1

Step-by-step explanation:

Answer:

cmon now just multiple 3 x 407, = 1221.

Step-by-step explanation:

Answer :

1 = 3

4 = 12

6 = 18

Answer:

110

Step-by-step explanation:

[17 - 7] × 6 + 2 + 56 - 8

10 × 6 + 2 + 56 - 8

60 + 2 + 56 - 8

62 + 56 - 8

118 - 8

110

Answer:

110

Step-by-step explanation:

[17 - 7] × 6 + 2 + 56 - 8

(10) x 6 + 2 + 56 - 8

60 + 2 + 48

62 + 48

110

Answer:

[tex]x_{1} =\frac{-17- \sqrt{129}}{2}, x_{2} =\frac{-17+ \sqrt{129}}{2} [/tex]

Step-by-step explanation:

[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} = \frac{5}{2} [/tex]

[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} = \frac{5}{2} [/tex]

[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} - \frac{5}{2} = 0[/tex]

[tex] \frac{2(x + 2 {)}^{2} + 2(x + 3) \times (x - 3) - 5(x + 3) \times (x + 2) }{2(x + 3) \times (x + 2)} = 0[/tex]

[tex] \frac{2(x + 2 {)}^{2} + 2( {x}^{2} - 9) + ( - 15x - 15) \times (x + 2) }{2(x + 3) \times (x + 2)} = 0 [/tex]

[tex] \frac{2( {x}^{2} + 4x + 4) - 3 {x}^{2} - 48 - 25x}{2(x + 3) \times (x + 2)} = 0[/tex]

[tex] \frac{2 {x}^{2} + 8x + 8 - 3 {x}^{2} - 48 - 25x }{2(x + 3) \times (x + 2)} = 0[/tex]

[tex] \frac{ - {x}^{2} - 17x - 40 }{2(x + 3) \times (x + 2)} = 0[/tex]

[tex] {x}^{2} + 17x + 40 = 0[/tex]

[tex]x = \frac{ - 17± \sqrt{ {17}^{2} - 4 \times 1 \times 40 } }{2 \times 1} [/tex]

[tex]x = \frac{ - 17± \sqrt{289 - 160} }{2} [/tex]

[tex]x = \frac{ - 17± \sqrt{129} }{2} [/tex]

[tex]x_{1} =\frac{-17- \sqrt{129}}{2}, x_{2} =\frac{-17+ \sqrt{129}}{2} [/tex]

Answer:

x=-5

Step-by-step explanation:

[tex]4x = - 18 - 2 \\ x = \frac{ - 20}{4} \\ = - 5[/tex]

BESTIEEE I HOPE U CAN GIVE ME BRAINLIEST (╥﹏╥)(╥﹏╥)

4x + 2 = -18

4x = -18 - 2

4x = -20

x = -5

Cheers!!

Answer:

m = 1/3

Step-by-step explanation:

-3.3m = -1.1

(-3.3/-1.1)m = (-1.1/-1.1)

3m=1

3m/3 = 1/3

m = 1/3

Answer:

Step-by-step explanation:

1/3

Answer:

Easy

Step-by-step explanation:

Easy to use and easy to use and easy to use onenote

Answer:

Step-by-step explanation:

1) x² - 8x + 5 = 0

2) No subtract 5 from both sides

x² - 8x + 5 - 5 = 0 - 5

x² - 8x  = -5

3) Now find (8/2) = 4. Add 4² = 16 to both sides

x² - 8x + 16 = -5 + 16

x² - 8x + 16 = 11

4) (x - 4)²  = 11

5) Take square root both sides

x - 4 = ±√11

x = 4 ±√11

Answer:

It is 5*5*4/25

Hope it helps

haha

Answer:

4

Sana makatulong thanks me later

Answer:

NO

Step-by-step explanation:

We need more than two operations to solve a linear equation . If an equation contains fractions, multiply both sides of the equation by the least common denominator (LCD) to clear fractions.

Answer:

(13,-6)

Step-by-step explanation:

The midpoint is the exact halfway point, so all you need to do is find the distance between those two points and apply it again.

First find the x coordinate. The distance from -9 to 2 is 11. So you add 11 to 2, and you get 13, which is your x coordinate.

Then do the same thing with the y coordinate. And you get -6.

Your endpoint is (13,-6)

Answer:

Step-by-step explanation:

[tex]\dfrac{-1}{3}*\dfrac{3}{5}*\dfrac{-5}{7} = \dfrac{(-1)*(-1)}{1*7}=\dfrac{1}{7}[/tex]

Answer:

C is your answer

Hope this helps

Answer:  B

Step-by-step explanation:

P=R-$10MM

P = ($25MM)-$10MM

P = $15MM

Answer:

well for Evey 4 completed throws she takes 7 throws

with this ratio we get that;

it's 4:7

there fore

for 12 completed free throws she would take 21 free throws

option c is the answer

hope it's helpful

Answer:

21

Step-by-step explanation:

FreeThrows: FT

Attempted Throws: AT

FT/AT=4/7

12/AT=4/7

84/4=AT

AT=21

Answer:

x= (1,8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3≤ 6x - 9                 Add 9 to both sides

-3 + 9 ≤ 6x               Combine left

6 ≤ 6x                       Divide by 6

6/6 ≤ 6x/6

1 ≤ x

6x - 9 < 39               Add 9 to both sides

6x < 39 + 9              Combine

6x < 48                     Divide by 6

6x/6 < 48/6

x < 8

So the inequality is

1 ≤ x < 8

I think that is what you want. You have to express it as a combined inequality.

We know that, Two angles are said to be complementary, if the sum of their measures is 90°.

According to the Question,

⇒ ∠ABD + ∠DBC = 90°

⇒ (2x + 30)° + (3x + 20)° = 90°

⇒ 2x + 30° + 3x + 20° = 90°

⇒ 5x + 50° = 90°

⇒ 5x = 90° - 50°

⇒ 5x = 40°

⇒ x = 40°/5

⇒ x = 8

So, the measure of each angle will be,

⇒ ∠ABD = (2x + 30)°

= 2 × 8 + 30°

= 16 + 30°

= 46°

⇒ ∠DBC = (3x + 20)°

= 3 × 8 + 30°

= 24 + 30°

In order to find miles per hour we must first change the time given to us (57.1 seconds) into hours. We will do this by first changing the seconds to minutes:

57.1 seconds / 60 = .952 minutes

Now we can change our minutes to hours:

.952 minutes / 60= .016 hours

Now to find miles per hour we divide the miles by our time:

1 mile / .016 hours = 63.04 mph

I hope this help you

Answer:

To label 6.5 on a number line, put the plot between the 6 and 7.

Same thing goes for 8.5, except the plot would go between the 8 and 9.

8.5 > 6.5

Step-by-step explanation:

1.) Since 8.5 and 6.5 are decimals, they are not a whole number which is why they go right in the middle of the two numbers they are behind and in front of.

2.) > means greater than, and 6.5 is smaller than 8.5 therefore we use the greater than sign, pointed towards the 8.5.

I hope this helps! :)

Answer:

[tex]h(x) = \frac{1}{4} x[/tex]

Step-by-step explanation:

[tex]f(x) = 4x[/tex]

[tex]y = 4x[/tex]

[tex]x = 4y[/tex]

[tex]4y = x[/tex]

[tex]y = \frac{1}{4} x[/tex]

[tex]\boxed{\green{h(x) = \frac{1}{4} x}}[/tex]