Simplify the expression. (7−2)24+34−10 13 35 53 3

When you create the number line, put 0 in the middle. Basically you put all the numbers you got from least to greatest on the number.

Since -3/2 is less than 0, it will go to the left of 0.

Since 3/2 and 5/2 are greater than 0, it will go to the right of 0.

Remember to use sub points of 1.

Best of Luck!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{14 {x}^{2} - 96}{ {x}^{4} - 13 {x}^{2} + 36}}}}}} [/tex]

Step-by-step explanation:

[tex] \sf{ \frac{2}{x - 2} + \frac{1}{x - 3} - \frac{2}{ x + 2} - \frac{1}{ x + 3}}[/tex]

⇒[tex]\sf{ \frac{2(x - 3)(x + 3)(x + 2) + (x - 2)(x + 2)(x + 3) - 2(x - 2)(x - 3)(x + 3) - (x - 2)(x + 2)(x - 3)}{(x - 2)(x - 3)(x + 2)(x + 3)}} [/tex]

Use the formula : a² - b² = ( a + b ) ( a - b )

⇒[tex] \sf{ \frac{2( {x}^{2} - 9)(x + 2) + ( {x}^{2} - 4)(x + 3) - (2x - 4)( {x}^{2} - 9) - ( {x}^{2} - 4)(x - 3) }{( {x}^{2} - 4)( {x}^{2} - 9)}} [/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{ \frac{(2 {x}^{2} - 18)(x + 2) + ( {x}^{2} - 4)(x + 3) - (2x - 4)( {x}^{2} - 9) - ( {x}^{2} - 4)(x - 3)}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]

Multiply the algebraic expressions

⇒[tex] \sf{ \frac{2 {x}^{3} + 4 {x}^{2} - 18x - 36 + {x}^{3} + 3 {x}^{2} - 4x - 12 - (2 {x}^{3} - 18x - 4 {x}^{2} + 36) - ( {x}^{3} - 3 {x}^{2} - 4x + 12) } {( {x}^{2} - 4)( {x}^{2} - 9)} }[/tex]

When there is a ( - ) in front of an expression, change the sign of each term in the expression

⇒[tex] \sf{ \frac{2 {x}^{3} + 4 {x}^{2} - 18x - 36 + {x}^{3} + 3 {x}^{2} - 4x - 12 - 2 {x}^{3} + 18x + 4 {x}^{2} - 36 - {x}^{3} + 3 {x}^{2} + 4x - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]

Since two opposites add up to zero, it would be better to remove them from the expression

⇒[tex] \sf{ \frac{4 {x}^{2} - 36 + 3 {x}^{2} - 12 + 4 {x}^{2} - 36 + 3 {x}^{2} - 12}{( {x}^{2} - 4)( {x}^{2} - 9)} }[/tex]

collect like terms and simplify

⇒[tex] \sf{ \frac{14 {x}^{2} - 48 - 36 - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]

⇒[tex] \sf{ \frac{14 {x}^{2} - 84 - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]

⇒[tex] \sf{ \frac{14 {x}^{2} - 96}{ ({x}^{2} - 4)( {x}^{2} - 9)} } [/tex]

Multiply : ( x² - 4 ) and ( x² - 9 )

⇒[tex] \sf{ \frac{14 {x}^{2} - 96}{ {x}^{4} - 13 {x}^{2} + 36}} [/tex]

Hope I helped!

Best regards! :D

Answer:

L=120−12tt

Step-by-step explanation:

$120 is the total kaylee needs to pay back. She pays back 12$ each week, as you can determine from 60 / 5. so, 120-12tt

Answer: 5,14 and -2

Step-by-step explanation:

The coefficient  is the number next to the variable.

So this case the coefficients are 5,14 and -2

Answer:

Step-by-step explanation:

15+28-2x+6

49-2x=

x=-49/2

Answer:

1

Step-by-step explanation:

Numbers to the "right of 0" implies the positive numbers.  And an integer has no fractional component.  Thus, the first integer to the right of 0 would be 1.

Cheers.

Answer:

y tú la vez bebiendo de la botella guz dividido por qué colgaron que no se sienta en tu casa no te preocupes que no me dijan no me dijan no me dijan que hacen

Answer:

A.

Step-by-step explanation:

If you use the vertical line test only one point hits the graph.

Using the vertical line test:

If you can draw a vertical line and it crosses the graphed line more than once, or multiples dots on the same line it is not a function.

The first graph is a function.

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ] , thus

[tex]S_{20}[/tex] = [tex]\frac{20}{2}[/tex] [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

Answer:

the answer is 65

Step-by-step explanation:

13x5=65

12 feet is the distance along the ground from the truck to the end of the ramp.

What is Pythagorean Theorem?

For a right-angled triangle

(base)²+(height)²=(hypotenuse)².

The ramp makes a right-angled triangle with the truck and the ground refer to the supported diagram.

Let x be the distance along the ground from the truck to the end of the ramp. Then

x²+5²=13²

⇒x²=13²-5²

⇒x²=169-25=144=12²

Hence, 12 feet is the distance along the ground from the truck to the end of the ramp.

To learn more about the Pythagorean theorem visit- https://brainly.com/question/343682?referrer=searchResults

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Answer:

B. No solutions

Step-by-step explanation:

y= -3x + 9

3y = -9x + 9

Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.

y = -3x + 9

y = -3x + 3

Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.

Answer: No solutions

Answer:

B

Step-by-step explanation:

Khan

The correct value is 720 ft of fencing.

Answer:

Max Area = 64800 sq.ft

Step-by-step explanation:

A square will always give us the maximum area.

Thus, one side would be;

720/4 = 180 feet

So, we want a square 180 ft by 180 ft

however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.

Thus,we now have a rectangle with dimensions: 180 ft by 360 ft

Area is given by;

area = length × width

Maximum Area = 180 × 360

Max Area = 64800 sq.ft

Answer:

$3.99

Step-by-step explanation:

If 6 pounds is $5.99

We can round that to $6

Meaning $1 per Pound. Now since 4 pounds times $1 per pounds equals $4. Turn that down one cent. You get $3.99

Please give brainliest. Thanks

Answer:

los CM a m = entre 100

Step-by-step explanation:

___________________

Answer:

Step-by-step explanation:

Short term 166,500 (150000x.11 then add that answer to 150000)

Long term 163,500

Answer:

Step-by-step explanation:

[tex]z^0\times z^{-75}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \:a^b\cdot \:a^c=a^{b+c}\\\\z^0z^{-75}=z^{0-75}\\\\=z^{-75}[/tex]

Answer:

x^2+5x+6

Step-by-step explanation:

[tex]\left(x+2\right)\left(x+3\right)\\\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=x,\:b=2,\:c=x,\:d=3\\\\=xx+x\times\:3+2x+2\times \:3\\=xx+3x+2x+2\times\:3\\\\\mathrm{Simplify}\:xx+3x+2x+2\times\:3:\\\quad x^2+5x+6[/tex]

Answer:

(2x)^2 + 2(2x)(y) + (y)^2

(2x+y)^2

Step-by-step explanation:

Answer:

h+6/5=3

We move all terms to the left:

h+6/5-(3)=0

determiningTheFunctionDomain

h-3+6/5=0

We multiply all the terms by the denominator

h*5+6-3*5=0

We add all the numbers together, and all the variables

h*5-9=0

Wy multiply elements

5h-9=0

We move all terms containing h to the left, all other terms to the right

5h=9

h=9/5

h=1+4/5

Step-by-step explanation:

Answer:

Exact Form:

5/2

Decimal Form:

2.5

Mixed Number Form:

21/2

Answer:

The number of coupons Querida gave away in Sunday is proportional to the number of hours she worked that day.

Step-by-step explanation:

It is provided that on Sunday Querida gave away about 52 coupons an hour.

Compute the number of coupons given away for different hours as follows:

    Number of hours :    1         2          3          4

Number of Coupons :   52      104      156      208

Compute the number of coupons given away per hour provided that Querida worked 2 hours, 3 hours and 4 hours on Sunday as follows:

[tex]\text{Number of coupons given away per hour}=\frac{104}{2}=52\ \text{coupon/hour}[/tex]

[tex]\text{Number of coupons given away per hour}=\frac{156}{3}=52\ \text{coupon/hour}[/tex]

[tex]\text{Number of coupons given away per hour}=\frac{208}{4}=52\ \text{coupon/hour}[/tex]

Thus, the number of coupons Querida gave away in Sunday is proportional to the number of hours she worked that day.

Answer:

c^10 d^18

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

f(x) = x^2 + 4

g(x) = 7x + 13.

Find g(f(3))

Find f(3) = 3^2+4 = 9+4 = 13

Then find g(13) = 7*13 + 13 = 91+13 = 104

Answer:

91x+169

g(f(3))

(7x+13)(3^2+4)

(7x+13)(9+4)

(7x+13)(13)

therefore..91x+169

Answer:

14

Step-by-step explanation:

3(6) - 9(2) + 8 + (6)

18 - 9(2) + 8 + (6)

18 - 18 + 8 + (6)

0 + 8 + (6)

8 + (6)

14

Answer:

n=6

Step-by-step explanation:

6 ( n + 5 ) = 66

Divide each side by 6

6/6 ( n + 5 ) = 66/6

n+5 = 11

Subtract 5 from each side

n+5-5 = 11-5

n = 6

Answer:

n=6

Step-by-step explanation:

We are given the equation

6(n+5)=66

We must solve for the variable, n. Therefore, we have to isolate n on one side of the equation.

6 is being multiplied by (n+5). The inverse of multiplication is division. Divide both sides of the equation by 6.

6(n+5)/6=66/6

(n+5) = 66/6

n+5 = 11

5 is being added to n. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

n+5-5=11-5

n=11-5

n=6

Let's check our solution. Plug 6 in for n and solve.

6(n+5)=66

6(6+5)=66

6(11)=66

66=66

The statement above is true, so we know our solution is correct.

The solution to the equation 6(n+5)=66 is n=6

Answer:

The number is 4

Step-by-step explanation:

Let the number be  n

Twice the number : 2*n = 2n

Half the number : 1/2 n

[tex]2n+ \frac{n}{2}=10\\\\\frac{2n*2}{2}+\frac{n}{2}=10\\\\\frac{4n}{2}+\frac{n}{2}=10\\\\\frac{5n}{2}=10\\\\5n=10*2\\\\5n=20\\\\n=\frac{20}{5}\\\\[/tex]

n = 4

Answer:

call center A and B offer equal wages

Step-by-step explanation:

15/60 min 0.25/60 s

15/60 = 0.25

Answer:

x-coordinates of point B = 3

Step-by-step explanation:

If the extreme ends of a segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], coordinates of the midpoint of the given segment will be = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Coordinates of the extreme ends of segment AC are A(-2, -3) and C(8, -3).

Since B is a point that bisects the segment AC, coordinates of point B will be,

= [tex](\frac{-2+8}{2},\frac{-3-3}{2})[/tex]

= (3, -3)

Therefore, x-coordinates of the point B will be = 3

Answer:

H.

Step-by-step explanation:

Step-by-step explanation:

the square of 12 =12×12 =144

and the square root of 196324 = ✓196324

= 443.084642