solve for the variables.

Answer:

a) x= 5 or x= -3

b) x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]

Step-by-step explanation:

a) [tex]x^{2}[/tex] - 2x - 15 =0

x = [tex]\frac{-(-2) +\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex]  or  [tex]\frac{-(-2) -\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex]

x= 5 or x=-3

b) [tex]x^{2}[/tex] + 8x - 10 =0

x = [tex]\frac{-(8) +\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex]  or  [tex]\frac{-(8) -\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex]

x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]

The difference of the number of components assembled per day by the experienced and new Employees is : D(t)= 10t(2t+13)/ (t+4)(t+3)

Here we perform subtraction :

D(t) = N(t) - E(t)

N(t) = 50t / (t+4)

E(t) = 70t / (t+3)

The difference :

D(t) = E(t) - N(t)

D(t) = [70t / (t+3)] - [50t / (t+4)]

The L.C.M of (t+3) and (t+4) is (t+3)(t+4)

[70t(t+4)] - [50t(t+3)] / (t+3)(t+4)

70t² + 280t - [50t² + 150t] / (t+3)(t+4)

[70t² + 280t - 50t² - 150t] / (t+3)(t+4)

20t² + 130t / (t+3)(t+4)

D(t) = 10t(2t + 13) / (t+3)(t+4)

The difference of the number of components assembled is : D(t)= 10t(2t+13)/ (t+4)(t+3)

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Answer:b

Step-by-step explanation:

plato

Answer:

For one I think the answer is 14 and my brothers name is ethan!

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

2^4= 2 x 2 x 2 x 2 =16

Answer:

Sorry the pictures re not clear. Could u zoom in? :)

Answer:

false, 1 is not the smallest uneven prime number as it is not a prime number, prime numbers have 2 and only 2 factors whereas 1 only has 1 factor, as well as this, you can have negative prime numbers

Answer:

False one is not the smallest uneven prime number

Answer:

(x-6)3

hope it helps

Answer:

Ed now has $6.09

You do not list what the choices are but it can be one of these:

A solid figure

A space figure

Answer:

Step-by-step explanation:

The slope intercept form of a line is y=mx+b where m=slope and b=y intercept so we can solve for y from what you were given.

-2y=-16x+8

y=8x-4

So the slope is 8 and the y intercept is -4.

Answer:

5.52 inch

Step-by-step explanation:

Recall :

Area of Sector : θ/ 360 * πr²

Sectors that do not allow movement : (8-3-2) = 3

Total sectors = 8

θ/ 360 = 3/8 ; Area = 35.9

Radius = r

35.9 = 3/8 * π * r²

35.9 / (3/8 * π) = r²

30.472866 = r²

r = √30.472866

r = 5.52 inch

The radius of the spinner is 5.520 inch whose  [tex]\frac{3}{8}[/tex]  sector area is 35.9 inches square.

It is given that the spinner used in a board game is divided into 8 equally sized sectors. three sectors indicate that the player should move his token forward on the board, two sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board and its area of the sector is 35.9 inches square.

It is required to find the radius of the spinner.

The region enclosed by the two radii of a circle and the arc is known as a sector's area. In other words sector area is a portion of the circle's area.

We know the formula of sector area (A):

[tex]\rm A= \frac{\theta}{360 \°} \pi r^2[/tex]    Where 'r' is the radius of the circle and [tex]\rm \theta[/tex] is in degree

The remaining sectors = ( Total sectors - Three sectors - Two sectors)

= ( 8 - 3 - 2) ⇒ 3 sectors indicate the player do not move his token

Total sector = 8

[tex]\rm \frac{\theta }{360 \° } = \frac{3}{8} \ when \ A = 35.9 \ inches^2[/tex]

Putting these values in the above formula, we get:

[tex]\rm 35.9 = \frac{3}{8} \pi r^2\\\rm 35.9\times 8 = 3\pi r^2\\\rm 287.2 = 3\pi r^2\\\\\rm \frac{287.2}{3} = \pi r^2\\\\\rm 95.733= \pi r^2\\\rm 30.4728 = r^2[/tex]Where [tex]\rm \pi[/tex] = 3.14159

[tex]\sqrt{30.4728} = r\\\rm 5.520= r \\\rm or = 5.520 \ inch[/tex]

Thus, the radius of the spinner is 5.520 inch.

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Answer:1.b  2.i think 5x5   3.a

Step-by-step explanation:

there your ANWERS

Answer:

x = 1

Step-by-step explanation:

14 -4x = 10

-4x = -4

x = 1

Answer:

x=1

Step-by-step explanation:

2×7=14

2×2=4

4×1=4

14-4=10

Answer:

Step-by-step explanation:

Find x:

Find Y:

Answer:

Zeroes are where y=0 (x-intercepts)

I think they are expressed as just the x values since the y value can only be zero, but I could be wrong

the zeroes are at x=-6 and x=-2

so (-6, 0) and (-2, 0)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

scale is 1 inch=9 feet

4 inches*9= 36 feet

10 inches*9=90feet

it is 36 feet by 90 feet

scale is 1 inch=5 feet

4 inches*5=20 feet

it is 20 feet

scale is 1:12

14 inches*12=168

it is 168

Answer:

(0,−7)

Explanation:

To find the y-intercept of an equation, set x equal to 0 and solve: In the case of 2x−5y=35, let's replace all instances of x in the equation with 0 and solve for y: 2(0)−5y=35−5y=35−5y−5=35−5

y=−7

Thus, the y-intercept is at (x y)=

(0,−7).

Answer:

5)  P(2 AND A) = 1/6 x 1/8 = 1/48

6)  P(even AND vowel) = 1/2 x 2/8 = 1/8

7)  P(LT 3 AND not vowel) = 2/6 x 6/8 = 1/4

Step-by-step explanation:

1. P( 2, spinning an A) = 1/48

2. P( even number, spinning a vowel) = 1/8

3. P( number less than 3, spinning a consonant) = 1/4

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Given:

Combining the spinning of an A-H spinner with the rolling of a number cube

1. P(rolling a 2, spinning an A)

= 1/6 x 1/8

= 1/48

2. P(rolling an even number, spinning a vowel)

= 1/2 x 2/8

= 1/8

3. P(rolling a number less than 3, spinning a consonant)

= 2/6 x 6/8

= 1/4

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Answer:

92

Step-by-step explanation:

20% of 460 is 92 so it would be 92

Answer:

9

Step-by-step explanation:

Use exponential rules: add the exponents when multiplying, subtract the exponents when dividing.

Answer:

3^9

Step-by-step explanation:

- Rewrite the division as a fraction. 3^8x3^3/3^2

- Multiply

3^8 by 3^3 by adding the exponents.

3^11/3^2

- Cancel the common factor of 3^11 and 3^2

3^9

Answer:

200

Step-by-step explanation:

basically, all you have to do is plug in 30 for n. You would get -3 + 7(30-1), and then you would get -3 + 7 x 29, and then you would get -3 + 203, and the final answer would be 200

Answer:

The students who ride the bus most likely won't use the bike racks so it doesn't impact them and they probably don't know if they need more bike racks.

Step-by-step explanation:

Answer:The pyramid had sloping sides so that the dead pharaoh could symbolically climb to the sky and live forever. The pyramid represented the rays of the Sun I hope this helps

Step-by-step explanation:

Answer:

425 Cubic Feet

Step-by-step explanation:

Cubic feet is volume meaning that in order to find the volume you must multiply the length, width and the height. The answer is 425

The swimming pool will hold 425 cubic feet of water.

The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.

To find the volume of the swimming pool in cubic feet, we need to multiply the length, width, and height of the pool:

The volume is calculated as,

Volume = length x width x height

Volume = 10 ft x 8.5 ft x 5 ft

Volume = 425 cubic feet

Therefore, the swimming pool will hold 425 cubic feet of water.

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Answer

127

Step-by-step explanation:

First add 42 and 85. Then do 180-(42+85) to get w. Then do 180-w to get x as a line always equals 180

Answer:

1,873,000

Step-by-step explanation:

Answer:Rounded to the nearest thousand is the 4th number. Since the 3 numbers past the 2 is over 500, the rounded number would be 1,873,000.

Step-by-step explanation:Have a great day