PLEASE HELP ME!! DUE TONIGHT
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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:

C is your answer

Hope this helps

Answer:

cmon now just multiple 3 x 407, = 1221.

Step-by-step explanation:

Answer :

1 = 3

4 = 12

6 = 18

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.

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:

Step-by-step explanation:

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

Answer:

It is 5*5*4/25

Hope it helps

haha

Answer:

4

Sana makatulong thanks me later

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:

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:

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:

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:

x = 7

Step-by-step explanation:

8(5x + 2) = 296

40x + 16 = 296

40x = 280

x = 7

Answer:

x=7

Step-by-step explanation:

➼Okay, so first thing you need to do is to distribute the 8 to everything in the parentheses:

8(5x+ 2) = 296

8 times 5x

8 times 2

(8 x 5x) + (8 x 2) = 40x + 16

➼Now you solve for x

40x+16=296

➼to get rid of 40 you have to do the opposite and divide it by everything

40x+16=296

40/40=0

16/40=0.4

296/40=7.4

➼all adds up to x + .4 = 7.4 but to get the x alone you need to get rid of the .4, we'll do this by doing the opposite and subtract it from everything

.4-.4=0

7.4-.4=7

➼so in conclusion

x=7

Step-by-step explanation:

Ok...so yes the greater number is 7 but 7 is also the number farther from zero because when the positives and negatives are ignored, it takes 7 unit spaces to get to 7 whereas it only take 3.25 to get to the negative, making 7 farther from 0 than -3.25.

Answer:

This is wrong .

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

The overall answer should equal 360. 90+90+30=210. That leaves us with x. Try subtracting 360-210=x. :) Hope this helps!

[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:

(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)

[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.

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:

[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]

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

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

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°

Answer:

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

Step-by-step explanation:

- Zombie

Answer:

Easy

Step-by-step explanation:

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

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:

10 red pencils because 10 is double 5 so it would be 5:10 which simplifies to 1:2

Answer:

10

Step-by-step explanation:

ratio 1 : 5

for 5 blue pencils ratio = 1

x red pencils ratio. = 2

simply 5B = 1

xR = 2

5B × 2 = R

R = 10

Therefore 10 red pencils are required