Completely factor this quadratic expression: 4x2 + 12x − 72.

Answer:

Step-by-step explanation:

Surface area of cuboid A with side a is:

Same for cuboid B with side b:

Ratio of surface areas:

Volumes of A and B are:

And their ratio is:

Correct option is B

Answer:

B. 125 : 216

Step-by-step explanation:

Answer:

The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

Step-by-step explanation:

Linear equations can take various forms, such as the point-slope formula. This formula gives the slope of a line and the coordinates of a point on it. The point-slope form of a linear equation is written as:

y - y1= m*(x-x1)

In this equation, m is the slope and (x1, y1) are the coordinates of the point.

In this case, you know that the line has a slope of [tex]-\frac{2}{3}[/tex] and  passes through the point (-1,3). This is, m=[tex]-\frac{2}{3}[/tex] and (x1;y1)=(-1;3). Replacing:

y -3=[tex]-\frac{2}{3}[/tex] *(x-(-1))

This is:

y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

Answer:

The answer is 70.05300.

Answer:

Well according to the number line shown, it is in the negative area and if you see this it is near -6.5, all you need to do is count the spots until it hits the circle which is -6.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

- 6.8.... just count the tenths marks..  6.1,6.2,6.3... ect, ect

0.21333333333

answer:

Answer:

0.213

Step-by-step explanation:

I used a calculator :)

Answer:

∠MON = 98°

Step-by-step explanation:

It is given that ∠LON is a straight line.

∠MON = 3x+89

and

∠LOM = 8x+58

If LON is a straight line. It means,

∠MON + ∠LOM = 180 (Linear pair)

Putting values,

3x+89 + 8x+58 = 180

11x + 147 = 180

11x = 180-147

11x = 33

x = 3

So, ∠MON = 3(3)+89

= 9+89

= 98

Hence, the value of ∠MON is equal to 98°.

Answer:

I love a building that's nothing feet high

Step-by-step explanation:

Can that building be my new home?

Answer:

your answer is D

Step-by-step explanation:

hope this helps

Answer:

50e=t

Step-by-step explanation:

Wheaty Squares = w

Mighty O's = m

ounces in each box = e

total ounces of cereal = t

w+m=30+20=50

Please friend I do not know

Answer:

II and III

Step-by-step explanation:

Answer:

Step-by-step explanation:

x     |  y

30  | 6

60  | 12

90  | 18

120 | 24

Answer:

187.6 i think

Step-by-step explanation:

Answer:

$187.60

Step-by-step explanation:

Find 7.2% of the price to figure out the sales tax:

7.2% * 175 / 100% = $12.60

Add the sales tax to the original price:

$12.60 + $175.00 = $187.60

Answer:

44.34

Step-by-step explanation:

[tex]15 \div 100 \times 38.56 = [/tex]

[tex] = 5.78[/tex]

[tex]38.56 + 5.78 = 44.34[/tex]

Answer:

1/3

Step-by-step explanation:

bc 2/6 reduces to 1/3

Decrease of price = $24,000 - $14,880

=> $9,120

Percentage decrease = 9120/24000×100

=> 38%

Answer:

x=2 and y=6

Step-by-step explanation:

thee isn't any other way im sorry but there isn't here is a list:

1 nickel = $0.05 and 5 dimes =$0.50 = $0.55

2 nickels = $0.10 and 6 dimes = $0.60 = $0.70

3 nickels = $0.15 and 7 dimes = $0.75 = $0.85

4 nickels = $0.20 and 8 dimes = $0.80 = $1.00

5 nickels equal $0.25 and 9 dimes equals $0.90 = $1.15

so as you can see the more you add the higher the number gets and if its any lower it won't be enough sorry if you really needed that last part

Answer:

Students will gain an appreciation for the study of mathematics. In ... (I.3.6) The area of the surface of a sphere is described by the formula

Step-by-step explanation:

Correct me if I'm wrong! :)

Answer:

Its 100

Step-by-step explanation:

I took the quiz and got it right

Answer:

2h + g

Step-by-step explanation:

Answer:

L = 9.91 decibels.

Step-by-step explanation:

The loudness, L is inversely proportional to the square of the distance, d, from the source of the sound.

i.e L [tex]\alpha[/tex] [tex]\frac{1}{d^{2} }[/tex]

L = [tex]\frac{k}{d^{2} }[/tex]

Where k is the constant of proportionality.

When d = 14 feet and L = 85 dB, then;

k = L x [tex]d^{2}[/tex]

  = 85 x [tex](14)^{2}[/tex]

 = 16660

k = 16660

L = [tex]\frac{16660}{d^{2} }[/tex]

Thus, when d = 41 feet, then;

L = [tex]\frac{16660}{(41)^{2} }[/tex]

  = [tex]\frac{16660}{1681}[/tex]

  = 9.91077

L = 9.91 dB

The loudness is 9.91 decibels.

Answer:peppers

Step-by-step explanation:

Answer:

peppers for $1.62 per pound

Step-by-step explanation:

i took the test

Answer:

In this case, we do not have the table, so i will answer in a general way:

First, let's describe the transformation.

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Then a shift of 3 units up, is written as:

g(x) = f(x) + 3

This would be translated to the table in the next way:

You need to add 3 to all the values of y (or f(x)) in the table:

So if for example, the original table was:

x            f(x)

0             5

1              7

2             10

3              15

The table of the transformation will be:

x              g(x)

0              5 + 3 = 8

1               7 + 3 = 10

2              10 + 3 = 13

3               15 + 3 = 18

Answer:

Equation: y = [tex]\frac{7}{4}[/tex] x

21/2 cups of water

Step-by-step explanation:

Plug in 7 as y and 4 as x

7 = 4k

Find k

k = 7/4

Then plug k into th equation

y = 7/4 x

For the second part of the question:

Plug in x which is 6 into the bolded equation.

y = (7/4)(6) = 42/4 = 21/2 (simplified form)

21/2 cups of water

The correct answer is A. g(x)=(x-3)^2+1

The equation of the blue graph is g(x) = (x - 3)² + 1.

Option A is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Since the graphs of f(x) and g(x) intersect at (1.5, 2.5), we can substitute these values into the equations and solve for the constant term:

f(1.5) = g(1.5)

1.5² = g(1.5)

2.25 = g(1.5)

Therefore, we know that the vertex of g(x) is (1.5, 2.25).

Also, since the graphs have the same shape, we know that the vertex of g(x) is obtained by shifting the vertex of f(x) horizontally by the same amount, which is 3 units to the right.

So, the equation of the blue graph can be obtained by replacing x with (x-3) in the equation of the green graph:

g(x) = (x - 3)² + 1

Expanding this equation, we get:

g(x) = x² - 6x + 9 + 1

g(x) = x² - 6x + 10

g(x) = x² - 2 x 3x + 9 + 1

g(x) = (x - 3)² + 1

Therefore,

The equation of the blue graph is g(x) = (x - 3)² + 1.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ7

Answer:

B and C; 0.5 and 4.5

Answer:

[tex]\huge\boxed{\sf D.}[/tex]

Step-by-step explanation:

If

Y is directly proportional to x

Then

Y ∝ x

Changing proportionality to equality

Y = k x

If k = 1 , then

Y = x

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

it's D

Step-by-step explanation:

Khan Academy

Answer:

the value of X is 10x

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer: The correct answer is B. 1/9=3^-2

Step-by-step explanation: