Which of the numbers below are some potential roots of p(x) = x3 + 6x2 − 7x − 60 according to the rational root theorem?


–10

–7

–5

3

15

24

Answer:

64 units³

Step-by-step explanation:

V =  S³

V =  4³

V = 64 Units³

Answer:

1/10

Step-by-step explanation:

Because there is ten different numbers so therefore it would be 10/1

Answer:

{1,2,4}

Step-by-step explanation:

Check image for more help

Thankyou

Explanation:

We'll use the zero product property. This is the idea where if A*B = 0, then either A = 0 or B = 0.

So if

-0.7(x+3)(x-4) = 0

then either

x+3 = 0 or x-4 = 0

Both of those equations solve to

x = -3 or x = 4

The roots are the locations of the x intercepts, which is where the graph crosses or touches the x axis.

Answer:

1)   3- and 4

2)  3- and 4

Step-by-step explanation:

Answer:

4^2+2^2, 5^2, 6^2-6

Step-by-step explanation:

4 to the power of 2 is 16 and 2 to the power of 2 is 4. 16+4 is 20.

5 to the power of 2 is 25 which is greater than 20.

6 to the power of 2 is 36 minus 6 is 30 which is greater than 25 and 20.

Answer:

Riley's hourly rate is $10

Step-by-step explanation:

Riley earned $5 for 1/2 of an hour babysitting. What is her hourly rate?

1/2 of an hour = $5

1 hour = $x

Cross Multiply

1/2 × x = $5 × 1

x = $5 ÷ 1/2

x = $5 × 2

x = $10

Hence, Riley's hourly rate is $10

Answer:

Step-by-step explanation:

1. factor completely

5. simplify first fraction

4. common denominator

2 add the fractions

3. open paranthesis and combine like terms

Answer:

given A=103° , B=24°

In triangle ABC,

A+B+C=180° [angle sum property of triangle]

103°+24°+C=180°

127°+C=180°

C=180°-127°

C=53°

hope it help u dear...

Answer:

I have no idea

Step-by-step explanation:

but they beautiul and give good luck

Answer:

583 rounded to the nearest whole number

Step-by-step explanation:

other wise 583.3333333333333333333333333333

Answer:

y=-1/4(x-4)+3

Step-by-step explanation:

work is in the picture

Answer:

y = (-3/5)x - 7

Step-by-step explanation:

you are given the points (5,-10), (-10,-1)

a slope of (-1+10)/(-10-5) = -9/15 = -3/5 can be determined

using the point (0,-7), we can get y+7=(-3/5)(x - 0)

simplified: y = (-3/5)x - 7

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

28 students

Step-by-step explanation:

Let number of students in cooking club = x

Number of students in fencing club = 1/5 x

Number of students in chess club = 2(1/5)x

Since, There are 42 more students in the cooking club than in the chess club

Then ;

Number of students in chess club = Number of students in cooking club - 42

2(1/5)x = x - 42

(2/5)x - x = - 42

(2/5)x - x = - 42

-0.6x = - 42

x = 42 / 0.6

x = 70

Hence, number of students in chess club :

(2/5) * 70 = 28

Answer:

Step-by-step explanation:

1. use the slope formula --> (y2-y1)/(x2-x1)

2. (8 - 4)/(13 -(-3))

3. 4/16

4. m = 1/4

Answer:

Step-by-step explanation:

(b+8)≤18

Answer:

14 is 70% of 20

Step-by-step explanation:

1. We assume, that the number 20 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 20, so we can write it down as 100%=20.

4. We know, that x% equals 14 of the output value, so we can write it down as x%=14.

5. Now we have two simple equations:

1) 100%=20

2) x%=14

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=20/14

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14 is what percent of 20

100%/x%=20/14

(100/x)*x=(20/14)*x       - we multiply both sides of the equation by x

100=1.42857142857*x       - we divide both sides of the equation by (1.42857142857) to get x

100/1.42857142857=x

70=x

x=70

now we have:

14 is 70% of 20

Answer:

Calories per cup = 120 calories

Calories in 2 cups = 240 calories

Step-by-step explanation:

Given that:

Number of calories in a [tex]\frac{3}{4}^{th}[/tex] cup serving = 90 calories

To find:

Unit rate for calories per cup = ?

Number of calories in 2 cups of cereal = ?

Solution:

Here we are given the number of calories in a [tex]\frac{3}{4}^{th}[/tex] cup serving.

To find the calories in one cup, we need to divide 90 calories with [tex]\frac{3}{4}[/tex].

So, unit rate for calories per cup can be given as:

[tex]\dfrac{90}{\frac{3}4}\\\Rightarrow \dfrac{90}{3}\times 4\\\Rightarrow \bold{120 \ calories}[/tex]

To find the calories in 2 cups of cereal, we need to multiply the unit rate for calories per cup with 2.

So, calories in 2 cups of cereal = [tex]120 \times 2[/tex] = 240 calories

Therefore, the answer is:

Calories per cup = 120 calories

Calories in 2 cups = 240 calories

I think it is -5................

Answer:

I believe it should be the second answer

You add 3 to -6 and add 1 to 3 to get -3,4

Answer:

HOODIEEE u a boy or girl?

Step-by-step explanation:

Answer:

It looks like 45 degree for the one on the left and maybe 180 degrees on the right (i'm not sure tbh) but those are my guesses

Answer:

-22

Step-by-step explanation:

type it in google

Answer:

233 seconds

Step-by-step explanation:

When h = 0 the jumper ends his/her jump. Therefore let h = 0 so that we can solve for t; forming a quadratic equation

0 = 3t^2 - 700t + 200

I am going to solve  using the quadratic formula, but there are other approaches--

[tex]t_{1,\:2}=\frac{-\left(-700\right)\pm \sqrt{\left(-700\right)^2-4\cdot \:3\cdot \:200}}{2\cdot \:3},\\\\\sqrt{\left(-700\right)^2-4\cdot \:3\cdot \:200} = 20\sqrt{1219},\\\\t_{1,\:2}=\frac{-\left(-700\right)\pm \:20\sqrt{1219}}{2\cdot \:3}[/tex]

[tex]\:t_2=\frac{-\left(-700\right)-20\sqrt{1219}}{2\cdot \:3}[/tex]

[tex]t=\frac{10\left(35+\sqrt{1219}\right)}{3},\:t=\frac{10\left(35-\sqrt{1219}\right)}{3}[/tex]

Now the solutions are around 233 and 0.3 seconds. Given these two solutions I would find the first one more predictable.

Answer:

38?

Step-by-step explanation:

the answer dude lol..............

Answer:

the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Step-by-step explanation:

We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]

Solving:

[tex](x + 2)^2 > 2x + 7[/tex]

Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]

Now factoring the term: [tex]x^2+2x-3>0[/tex]

Breaking the middle term: 2x= 3x-x

[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]

So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Good Morning hope this helped.

Answer:

1: The cost of twelve bottles is $24 cause 12x2=24.

2: The ratio is 24/12 or 2/1

3: $2 every time

Answer:

Ummm... I think it would help if you take a screen shot

Step-by-step explanation:

Answer:

The sum of all angles is 180degrees

100 = 8x +4

X =( 100-4)/8 =12

A = 80

B = 41

C = 59

The largest angle is adjacent to the largest side so

B C A

Step-by-step explanation:

Also can u pls mark me brainliest im new

Answer:

The answer is 127.6

Step-by-step explanation:

To find the volume of something, you multiply.

So:5.5 times 3.2 times 7.25 is equal to 127.6

HOPE THIS HELPS YOU!!!!    :)

Answer:

127.60 square inches

Step-by-step explanation:

Multiply the diameters all together to get your answers.

5.5 x 3.2 x 7.25

Multiply

5.5 x 3.2 = 17.6

Multiply some more

17.6 x 7.25 = 127.6

You can also just multiply like this:

5.5 x 3.2 x 7.25 = 127.6

Hope this helped :)

Please consider Brainliest :)