How many solutions are there for this equation?
3(4x + 2) = 8x + 24 –2x

Answer: -3a^2 + 11a

Step-by-step explanation:

4a - (a x 3a) + 7a - Multiply first to get 4a - 3a^2 + 7a

4a - 3a^2 + 7a - Add like terms (a terms) to get -3a^2 + 11a

So the answer in -3a^2 + 11a

Answer:

1. 1600

Step-by-step explanation:

1 80*20 =1600

2. 76

Answer:

30). x=36

(31). a=35

32. n=104

33. n=30

34. y=120

35. b=135

Step-by-step explanation:

x/4=9

cross multiply

x=4×9

x=36

a/5=7

cross multiply

x=5×7

x=35

(repeat thesame steps over and over)

ok!

to find mean, add all of the numbers, and divide that by how many numbers you have.

for example:

number 7 on your paper (8,9,10,15,28)

add those numbers together to get: 70

then divide 70 by 5 (since that's how many numbers there are in the problem) to get: 14

to get median write out all the numbers from least to greatest like you've done and find the middle number by marking off a number from the side each time then you will get: 10

to find mode you just write the number that appears the most. since there are no repeating numbers in your problem, theres no mode.

to find range you subtract the smallest number from the largest number in the problem.

so in your case, it would be 28-8

your range would be: 20

45/8 or 5 5/8

5/8 divided by 1/9 - 5/8 x 9/1

Answer:

The watermelon has fallen 15.53625m

Step-by-step explanation:

x=vi*t+.5*a*t^2

x=3*1.5+.5*9.81*1.5^2

x=15.53625m

Answer:

-3/10

Step-by-step explanation:

y = k/x

5 = 3k

k = 3/5

y = 3/5x

y = 3/5(-2)

   = 3/-10

    = [tex]-\frac{3}{10}[/tex]

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Answer:

5.190 < 5.195

Step-by-step explanation:

5.195 is bigger than 5.190, so 5.195>5.190

Answer:

more than 90° or less than 180°

Answer:

number 1

Step-by-step explanation:

read the qeustion again

Answer: 150 + 3 = 150

Step-by-step explanation: The statue of liberty is approximately 150 feet tall from the base to the tip of the torch. A scale model is built that is 3 feet tall.

Answer:

Step-by-step explanation:

[tex]\frac{5+p}{9} <-1\\5+p<-9\\p<-9-5\\p<-14[/tex]

Answer:

Here is your Answer

(3.) 2x^3-4x^2-x + (14/(x+6))

Step-by-step explanation:

The expression for the division of polynomials is obtained as  (2x³- 4x²- x) + 14/(x + 6).

The remainder theorem states that that when a polynomial p(x) is divided by another polynomial x + a, then the remainder obtained is given as the value of the polynomial at x = -a which is written as p(-a).

The given problem can be solved by remainder theorem as follows,

Suppose p(x) = 2x⁴ + 8x³- 25x²- 6x + 14.

Now, when p(x) is divided by x + 6, the remainder is given as,

p(-6) = 2 × -6⁴ + 8 × -6³ - 25 × -6² - 6 × -6 + 14

⇒ p(-6) = 14

Thus, by division lemma the following equation can be written as,

2x⁴ + 8x³- 25x²- 6x + 14 = (x + 6)(2x³- 4x²- x) + 14

⇒ (2x⁴ + 8x³- 25x²- 6x + 14) ÷ (x + 6) = (2x³- 4x²- x) + 14/(x + 6)

Hence, the equivalent expression is given as (2x³- 4x²- x) + 14/(x + 6).

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Step-by-step explanation:

Or are you looking for the least

Answer:

-4/5, -3/7, 1/4, 2/3

Step-by-step explanation:

The last one is the greatest as a positive but because it's both the greatest positive but a negative it is the smallest. Since 2/3 is closest to 1 and is positive it would be the greatest. -3/7 is a smaller value than 1/4 as it's closer to 0 than 1/4 is.

Answer:

14.98cm

Step-by-step explanation:

Just using the pythagorean theroem

Answer:

A

Step-by-step explanation:

The order of operations, or PEMDAS, is used like so:

Parentheses

Exponents

Multiply

Divide

Add

Subtract

exponents are the second step of the order of operations

Answer:

The 2nd step i think I'm not totally sure.

Step-by-step explanation:

Answer:

20:14 = 10:7

Step-by-step explanation:

A week is equal to 7 days

2 weeks is equal to 2*7 = 14 days

Answer:

20 : 14

Step-by-step explanation:

Since there are 20 days, convert 2 weeks into days, (7 x 2), and you get 14.

The required width of the rectangular prism is 16in.

What is a rectangular prism?

A rectangular prism is a three dimensional shape , that has six faces. The shape of a rectangular prism is just a cuboid shape.

Use the formula of volume of a cuboid since a rectangular prism is in the shape of a cuboid. The volume of a cuboid is V= length×breadth×height.

Given that, The volume of prism V=[tex]532 in^{3}[/tex]

The length of prism , L= 19in.

The height of prism [tex]H=1\frac{3}{4}=\frac{7}{4}[/tex].

The width, W=?

The rectangular prism has volume V=Length×Height×Width.

Therefore,  532=19×(7/4)×W

So,  532×4=19×7×W

Thus,  (532×4)/(19×7)=W

Therefore,  W=16in.

Thus, the width of the rectangular prism is 16in.

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Answer:

a

Step-by-step explanation:

Answer:

c. (3x)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

The equation for this:

Find the value of P(8):

Correct choice is B

Answer: a^8

My work: a^12 divided by a^4 and got a^8

(hope this helps) :)

Answer:

1. Equivalent

2. Equivalent

3. Not equivalent

Step-by-step explanation:

So basically for all of them you need to find a multiple for the numerator of the first fraction to see if it equals the numerator of the second fraction, and same goes for denominator.

For the first one, 8*9 is 72, and you must multiply the denominator with the same number you multiplied the numerator with, so 9*9 is 81, so it is equivalent.

Step-by-step explanation:

1/3 mile in 12 minutes (=1/5 of an hour).

so, the speed (ratio of distance/time) is

1/3 mile / 12 minutes

the speed in mph is the converted ratio, where the denominator (bottom) is turned into 1 (hour).

what do I need to multiply 12 minutes with to get 1 hour ?

the same to multiply 1/5 with to get 1 : 5

to keep the overall value of the ratio the same I need to multiply both parts (top and bottom) of the fraction with the same value.

therefore,

1/3 / 12 × 5/5 = (1/3 × 5) / (12×5) = 5/3 / 60

so, the speed in mph is

5/3 miles / 60 minutes = 5/3 miles / 1 hour = 5/3 mph = 1 2/3 mph

D is the right answer.

For a general quadratic equation, we want to find the equations for the vertex (h, k).

The values of the vertex are:

We start with the general quadratic equation:

f(x) = a*x^2 + b*x + c

To find the x-value of the vertex (h in this case) we need to find the zero of the first derivate of f(x) (because the vertex is a minimum/maximum of the function).

We have:

f'(x) = 2*a*x + b

We solve:

f'(h) = 0 = 2*a*h + b

        -b/(2*a) = h

So we just found the value of h.

To find the value of k, the y-value of the vertex, we need to evaluate the function in the x-value of the vertex, we will get:

k = f(h) = a*( -b/(2*a))^2 + b*( -b/(2*a)) + c

k = b^2/(4a) - b^2/(2a) + c

Then, concluding, we have:

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