Solve using the quadratic equation.
[tex]3x^{2} -6x-24[/tex]
Solution 1: ___
Solution 2: ___

Answer:

[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]

Step-by-step explanation:

We want to find a quadratic that passes through the points:

[tex](-4, 0), \, (2, 0), \text{ and } (6, -20)[/tex]

In intercept form.

First, note that the first two given points are the x-intercepts of our quadratic. Intercept or factored form is given by:

[tex]y=a(x-p)(x-q)[/tex]

Where p and q are the x-intercepts, and a is the leading coefficient.

So, we will substitute -4 and 2 for p and q:

[tex]y=a(x-(-4))(x-(2))[/tex]

Simplify:

[tex]y=a(x+4)(x-2)[/tex]

Next, the third point (6, -20) tells us that y = -20 when x = 6. So:

[tex](-20)=a(6+4)(6-2)[/tex]

Solve for a:

[tex]-20=10(4)a\Rightarrow 40a=-20[/tex]

Thus:

[tex]\displaystyle a=\frac{-20}{40}=-\frac{1}{2}[/tex]

Hence, our equation in intercept from is:

[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]

Answer:

C. 184 square centimeters

Step-by-step explanation:

4 x 6 = 24

there are 2 of them so you leave it the same

5 x 10 = 50

there are 2 of them so

50 x 2 = 100

6 x 10 = 60

24 + 100 + 60 = 184

184 square centimeters

Answer:

2970 marbles

Step-by-step explanation:

First, find how many bags of marbles there were:

11(6)

= 66

Find how many marbles there are

66(45)

= 2970

So, there were 2970 marbles in total

Answer:

At first the total no. of bags

=> 11 × 6

=> 66

Now

Total marble

=> 45 × 66

=> 2970

[tex] \\ [/tex]

Answer:

33 newspapers per 1 pile.

Step-by-step explanation:

33+33+33=99

Answer:

there would be 33 news papers in each pile

Step-by-step explanation:

when you divide 99 from 3 you will get 33 so you would have 33 in each pile hope this helps.

Answer:

42/55

Step-by-step explanation:

4/11+2/5  LCD=55

20/55+22/55

42/55

Answer:

I think B is the correct answer, sorry im not very good with math tho.

Step-by-step explanation:

Sorry if its incorrect

Answer:

Volume of sphere = 4/3 πr³

Volume = 4/3 × 3.14 × 8³

Volume = 4/3 × 3.14 × 512

Volume = 4/3 × 1607.68

Volume = 2143 in³

[tex] \\ [/tex]

Radius of the sphere is 8 units.

The volume of the sphere.

We know, volume of sphere is [tex] \frac{4}{3} [/tex]πr³

So, volume of sphere = [tex] \frac{4}{3} [/tex] × 3.14 × 8 × 8 × 8

= [tex] \frac{6430.72}{3} [/tex]

= 2143.6

Answer:

[tex] m\angle BCA= 33\degree[/tex]

Step-by-step explanation:

[tex] In\: \odot A[/tex] BC is tangent to the circle at point B.

Therefore, by tangent-radius theorem:

[tex] \therefore AB\perp BC[/tex]

[tex] \therefore \angle ABC = 90\degree [/tex]

[tex] In\: \triangle ABC, [/tex]

[tex] m\angle ABC +m\angle BAC +m\angle BCA= 180\degree [/tex]

[tex] 90\degree+57\degree +m\angle BCA= 180\degree [/tex]

[tex] 147\degree +m\angle BCA= 180\degree [/tex]

[tex] m\angle BCA= 180\degree - 147\degree[/tex]

[tex] m\angle BCA= 33\degree[/tex]

Answer:

A. 4

Step-by-step explanation:

If the length 6 become 3 in the corresponding side of the congruent shape,

then 8 becomes 4 (Ratio 2:1)

Hope this helps

Answer:

The answer would be letter C

Answer:

d>107

Step-by-step explanation:

I am sorry if you got this wrong..

Answer:

x = 10

Step-by-step explanation:

Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?

The sum of the exterior angles of a decagon = 360°

Decagon = 10 sides

Each angle in a decagon = 360/10

= 36°

We are told that:

Each exterior angle of a regular decagon has a measure of (3x + 6)°.

Hence,

(3x + 6)° = 36°

Collect like terms

3x = 36 - 6

3x = 30

x = 30/3

x = 10

Answer: The person above me is correct! It is B. X=10 I got a 100% on the test! Edge2021

Step-by-step explanation:

Answer:

The answer to this question should be H

Answer:

5/12

Step-by-step explanation:

15÷3/36 ÷3

the answer is 5/12

Answer:

5/12

Step-by-step explanation:

15/36 ÷ 3

5/12

mark mope brainliest

Answer:

C

Step-by-step explanation:

65%=65/100

=0.65

This is the required answer.

Answer:

That is an opinion. Some find math easier and some find reading easier. There is no right or wrong answer to that.

Step-by-step explanation:

Answer:

reading  is easier  than math because math has to do with numbers and there are so many diffrent ways to do math and so may diffrent formals to us for math  there for reading is easier than math

Step-by-step explanation:

Answer:

12,300

Step-by-step explanation:

I'll right this as a function to make it easier on me.

f(x) = 7500(1 + 0.8)^x

f(2) = 7500(1 + 0.8)^2

f(2) = 7500(1 + 0.64)

f(2) = 7500(1.64)

f(2) = 12300

Answer:

$8700

Step-by-step explanation:

0.08 x 2 yrs = 0.16

7500 x 0.16 =1200

7500 + 1200 = 8700

Answer:

,,,,,,,,,,,,,,,,,,,,

Answer:

P(1) = 4/20 or 1/5

P(2) = 3/20

P(3) = 7/20

P(4) = 6/20 or 3/10

Step-by-step explanation:

Crystal spun the spinner 20 times. 1 was the outcome 4 times out of 20 spins, so the experimental probability would be 4/20 or 1/5. Same goes for all the other ones.

Answer:

Step-by-step explanation:

Rational numbers:

(150+160)/2 = 310/2 = 155

(150+155)/2 = 305/2= 152.5

(155 +160)/2 = 315/2= 157.5

155, 152.5 , 157.5 are rational numbers between 150 and 160

Irrational numbers:

Irrational numbers are numbers that are non terminating and non repeating numbers

155.502003000.....

155.202002000......

156.3120578.......

Answer:

1st rational number

= a + b/2

= 150 + 160/2

= 310/2 (1)

2nd rational number

Middle term of 150 and 160 is 155

= 150 + 155/2

= 305/2

3rd rational number

= 160 + 155/2

= 315/2

[tex] \\ [/tex]

Answer:

a

Step-by-step explanation:

Answer:

You can use 3.14 or 22/7 in the place of π.

Answer:

3.14

Step-by-step explanation:

22/7 when simplified is 3.142857143 and pi is 3.141592654

Answer:

sparky is 4 years older than cookie

__________________________

hope this helps, I wasn't entirely certain what the question was.

Answer:

2000000Taka.

Step-by-step explanation:

Area of the room= 250x100

=25000m²

Each m²= Tk 80

so, 25000x80

=2000000 Taka.

plz mark me as brainliest !

Answer:

72.45

Step-by-step explanation:

Take 63 and multiply by 0.15 to represent the tip

Then take the answer of 9.45 and add it to 63

Your final answer is 72.45.

63.00×15%=9.45 +63.=72.45

Step-by-step explanation:

1. radius=d/2= 30/2= 15yds

diameter= 30yds

area=πr²= 22/7*(15)²

707.14yds²

circumference= 2πr=2*22/7*15

94.29yds

2.radius=8in

diameter= 2r =2(8)=16in

area=πr²= 22/7*(8)²

201.14in²

circumference= 2πr=2*22/7*13

50.29in

3.radius=d/2 =20/2=10ft

diameter= 20ft

area=πr²= 22/7*(10)²

314.29ft²

circumference= 2πr=2*22/7*10

62.86ft

Answer:

The market up is 11.5$.......