Review the table of values for function j(x) = StartFraction x squared minus 7 x minus 8 Over x squared minus 4 x minus 32.

x j(x)
7.9 0.747899
7.99 0.749791
7.999 0.749979
8 undefined
8.001 0.750021
8.01 0.750208
8.1 0.752066
What is Limit of j (x) as x approaches 8, if it exists?

0.375
0.75
8
DNE

Answer:

f

Step-by-step explanation:

because it's less than mine not less nine

Answer: 3x=3

Step-by-step explanation: Let's divide this into parts--

1. Adding the x variables: -2x+5x or 5x-2x = 3x.

2. Adding the y variables: y-y or -y+y = 0. (The negative and the positive y cancel each other out.)

3. Adding the numbers: 8-5 or -5+8 = 3.

Now just put it back into an equation: 3x + 0 = 3.

We don't need to add the 0, so the equation changes into 3x = 3.

Answer:

21 m

Step-by-step explanation:

1:2.5 = 8.4: x

8.4*2.5 = 21

Answer:

I think the answer is C or D

Answer:

5. h = 12

6. k = 17, m = 12

Step-by-step explanation:

5. The sum of angles on the adjacent side of a diagonal of a parallelogram is 180 degree

[tex]3h + 24 = 4 h + 12\\h = 12[/tex]

6. The  angle is 90 degrees

[tex]5k + 5 = 90\\k = 17\\7m + 6 = 90\\m = 12[/tex]

Answer:

64

Step-by-step explanation:

1=3+5+7....S8 and ..... is 64

Answer:

Step-by-step explanation:

Use the formula of distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

1. Distance between A(3, 4) and B(8, 12),

  AB = [tex]\sqrt{(8-3)^2+(12-4)^2}[/tex]

  AB = [tex]\sqrt{25+64}[/tex]

        = [tex]\sqrt{89}[/tex]

        ≈ 9.43

2. Distance between C(-2, 10) and D(3, -2),

   CD = [tex]\sqrt{(3+2)^2+(-2-10)^2}[/tex]

         = [tex]\sqrt{25+144}[/tex]

         = [tex]\sqrt{169}[/tex]

         = 13.00

3. Distance between X(20, 4) and Y(17, 0),

    XY = [tex]\sqrt{(20-17)^2+(4-0)^2}[/tex]

          = [tex]\sqrt{3^2+4^2}[/tex]

          = [tex]\sqrt{25}[/tex]

          = 5.00

4. Distance between E(2, -1) and M(6, 9),

    EM = [tex]\sqrt{(2-6)^2+(-1-9)^2}[/tex]

          = [tex]\sqrt{16+100}[/tex]

          = [tex]\sqrt{116}[/tex]

          = 10.77

Answer:

5,200

Step-by-step explanation:

[tex](4\frac{1}{3} * 5\frac{1}{3} * 8\frac{1}{3} * 6 )/ 2 = 10,400/2 = 5,200[/tex]

Answer:

[tex]14.1[/tex]

Step-by-step explanation:

Since we have two sides of a triangle and the angle between them, we can use the Law of Cosines.

For any triangle, the Law of Cosines states:

[tex]b^2=a^2+c^2-2ac\cos B[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are all interchangeable.

Substituting given values, we have:

[tex]b^2=9^2+19^2-2(9)(19)\cos 45^{\circ},\\b^2=200.169480834,\\b\approx \boxed{14.1}[/tex]

Answer:

[tex]Pr = \frac{1}{870}[/tex]

Step-by-step explanation:

Given

[tex]n =30[/tex]

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]

Substitute [tex]n =30[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]

[tex]Pr = \frac{1}{30*29}[/tex]

[tex]Pr = \frac{1}{870}[/tex]

[tex]2x - 8 = x + 4[/tex]

Collecting like terms,

[tex]2x - x = 4 + 8[/tex]

Since the signs change when its position changes.

[tex]x = 8 + 4 \\ x = 12[/tex]

Answer:

The value of x would be 12.

Step-by-step explanation:

2x - 8 = x + 4

2x - x = 4 + 8

x = 12

Answer:

86º

Step-by-step explanation:

If this is a trriangle the sum of the angles is 180º

180 - 45 - 49 = 86º

Answer:

4%

Step-by-step explanation:

Volume of sphere

v = (4/3)πr^3

Volume moon/ volume planet

We don't actually need the numeric value of the radius

just the 35% ratio

Radius of moon = .35 radius of planet

Vm/ Vp = (4/3)π(.35r)^3 / (4/3)π(r)^3

Cancel like terms

Vm / Vp = .35^3

Vm / Vp = 0.042875

Expressed as a percentage

Vm / Vp = 4.2875%

Rounded

Vm / Vp = 4%

Answer:

Lateral surface area means curved surface area

Total surface area means curved surface area + surface area of the bottom and top.

So i think its false

Step-by-step explanation:

Answer:

y = 42x + 2

Step-by-step explanation:

The equation of a line is expressed as y = mx+b

Slope = y2-y1/x2-x1

Slope = 128 - 2/3-0

Slope m = 126/3

Slope = 42

Since the y intercept is (0, 2), hence b = 2

Get the equation;

Recall that y = mx+b

y = 42x + 2

This gives the required equation

Answer:

1.2

Step-by-step explanation:

3. 0.3+0.2+0.1

Multiply 3 and 0.3 to get 0.9

0.9+0.2+0.1

Add 0.9 and 0.2 to get 1.1

1.1+0.1

Add 1.1 and 0.1 to get 1.2

1.2

Answer:

x + 5 = 23

Step-by-step explanation:

Just write it like how you say it.

The algebraic expression for the given phrase is x+5=23.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given phrase is "x plus five is twenty three"

Here, the equation is x+5=23

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Transpose 5 to the RHS of the equation, we get

x=23-5

x=18

Therefore, the x value is 18.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ3

Answer:

$25.00

Step-by-step explanation:

well start of by using the rules of 3.

( always remeber that multiply is diagonal and divide left by one on the left)

Answer:

Step-by-step explanation:

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Answer:

6.12 x 10⁵

Step-by-step explanation:

You just multiply 3.4 and 1.8 which gives 6.12

And for the notation you add the exponents 2 and 3 which give 5

Answer:

6.12 × 10^5.

Step-by-step explanation:

3.4 × 10² × 1.8 × 10³

To solve this, we can group.

[tex](3.4 * 1.8) * (10^2 * 10^3) =[/tex]  [tex](6.12) *(10^5).[/tex]

Therefore,[tex](3.4 *1.8)*(10^2*10^3) = 6.12 * 10^5[/tex]

Answer:

x = ± [tex]\sqrt{\frac{y}{a} }[/tex]

Step-by-step explanation:

Given

y = ax² ( divide both sides by a to isolate x² )

[tex]\frac{y}{a}[/tex] = x² ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{y}{a} }[/tex]

Answer:

see explanation

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

[tex] -2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37[/tex]

Answer:

4 is the diameter

Step-by-step explanation:

Given:

C = 4π

Formula for circumference:

C = 2πr

Work:

C = 2πr

4π = 2πr

r = (4π)/(2π)

r = 2

Diameter:

d = 2r

d = 2(2)

d = 4

Answer:

393

Step-by-step explanation:

(32)(12) + 9

This comes out to 384 + 9 = 393

Answer:

[tex]first \: answer \: is \: true[/tex]

Answer:

6 runners

Step-by-step explanation:

Complete question

A relay race covers 1 1/2 kilometers, and each runner on a team will run 1/4 of a kilometer.  How many runners are needed for a team?

Given that;

1 runner = 1/4 km

If a relay race covers  1 1/2 km, hence;

x runner = 1 1/2 km

Divide both expressions

1/x = (1/4)÷(1 1/2)

1/x = 1/4 ÷ 3/2

1/x = 1/4 * 2/3

1/x = 2/12

Cross multiply

2x = 12

x = 12/2

x = 6

Hence 6 runners are needed for the race

Answer:

it should be c = 5f/9 - 160/9 if solving for c.

Answer:

i need points lol

Step-by-step explanation:

sorryyyyy