dentify the property used in this equation: 3 + [7 + (–4)] = (3 + 7) + (– 4) Evaluate the expression above.

Step-by-step explanation:

x³ - 4x = 0

x (x² - 4) = 0

x (x + 2) (x - 2) = 0

Thus the answer is (b) (-2 , 0) , (0 , 0) , (2 , 0)

Answer:

g(x)=2(x-4)(x+3)​

Step-by-step explanation:

Answer:

Hello,

g(x) = 2 (x + 3) (x - 4)

Step-by-step explanation:

g(x) = 2x²- 2x - 24​

⇔ g(x) = 2 (x² - x - 12)

⇔ g(x) = 2 ((x - 1/2)² - (1/2)² - 12)

⇔ g(x) = 2 ((x - 1/2)² - 12.25)

⇔ g(x) = 2 ((x - 1/2)² - 3.5²)

⇔ g(x) = 2 ((x - 1/2)² - (7/2)²)

⇔ g(x) = 2 (x - 1/2 + 7/2) (x - 1/2 - 7/2)

⇔ g(x) = 2 (x + 3) (x - 4)

Answer: 0.12

Step-by-step explanation:

An exponential decay can be written as:

C(t) = A*r^t

Where A is the initial amount of cookies, A = 100

r is the rate that we are searching.

t is time in minutes, we know that at t= 0m

C(0) = 100*r^0 = 100

so at t = 0m we have 100 cookies.

now, we know that at t = 15m we have.

C(15s) = 100*r^(15m) = 15

r^15 = 15/100 = 0.15

r = (0.15)^(1/15) = 0.88

So the rate at which the cookies decrease is 0.88, and 1 - r = 0.12 is the rate at which the kids eat the cookies (meaning that the students ate 12% of the cookies per minute), so the answer is 0.12

answer 19-11+(-17)+(-19)+11= -17

Step-by-step explanation:

Answer:

16x+5

Step-by-step explanation:

First, we have to distribute.

2(5x+4)+3(2x-1)

2(5x)+2(4)+3(2x)+3(-1)

10x+8+6x-3

Combine Like Terms

10+6x+8-3

16x+5

Answer:

20

Step-by-step explanation:

Let Kayla's age be k.

Let Isaac's age be a.

Kayla is 6 years older than Raoul. This means that:

k = y + 6

lsaac is 4 years younger than Raoul. This means that:

a = y - 4

y = 12

=> k = 12 + 6 = 18

and

a = 12 - 4 = 8

The sun of Raoul's age and Isaac's age is:

12 + 8 = 20

Answer:

They sold 120 milkshakes.

Step-by-step explanation:

Answer:

x^3−2x^2−24x

Step-by-step explanation:

Answer:

x^3 - 2x^2 - 24

Step-by-step explanation:

FOIL:  first, outer, inner, last

This becomes

x^3 + 4x^2 - 6x^2 -24x  =  x^3 - 2x^2 - 24

Answer: 18:25

Step-by-step explanation:

Tuna : Salmon

180 : 250

18:25

Answer:

y = 2x or x = 1/2y or if you would like numerical values then x = 3, y = 6 and z=4

Step-by-step explanation:

x : y = 1 : 2

y : z = 3 : 2

If x : y = 1 : 2 then we know that 1y = 2x ∴ y = 2x or x = 1/2y

If y : z = 3 : 2 then we know that 3z = 2y ∴ z = 2/3y

Answer:

I think y is 2 as well as 3

Answer:

PR is 9 units long.

Step-by-step explanation:

You can see that triangle YXZ and QPR are similar because they have 2 angles in common. This means that they have a scale factor between them. The scale factor between triangle YXZ and QPR happens to be 1/3, as you can see, side QP is 1/3 times of corresponding side YX. To find PR, you just need to check how long its corresponding side is. XZ is 27 units long, and 1/3 of 27 is 9 units.

Answer:

PD

Step-by-step explanation:

The answer is PD, just did this one. :)

Answer:

answer is d, pd

Step-by-step explanation:

Answer:

The correct answer is "B", we first need to add 40 to both sides of the equation.

Step-by-step explanation:

Since we have the following quadratic equation:

[tex]x^2 - 40 = 0[/tex]

The first step to solve it is to isolate the independent variable, "x". To do that we must add +40 on both sides of the equation, since that way the "-40" on the left will be gone in a way that maintains the validity of the equation as shown below:

[tex]x^2 - 40 = 0\\x^2 - 40 + 40 = 40\\x^2 = 40[/tex]

After this step we take the square root of both sides:

[tex]\sqrt{x^2} = \sqrt{40}\\x = \pm \sqrt{40}\\x = \pm \sqrt{4*10}\\x = \pm 2*\sqrt{10}[/tex]

Therefore the correct answer is "B".

Answer:

(-3,7)

Step-by-step explanation:

Answer:

(-3,7)

Step-by-step explanation:

Answer:

The depth of oil in the tin is 9cm

Step-by-step explanation:

The first thing we need to do here is to calculate the volume of the cylindrical tin.

Mathematically, that would be;

V = pi * r^2 * h

now, r = d/2 = 12/2 = 6cm

h = 14 cm

Thus the volume would be;

V = 22/7 * 14 * 6^2 = 1,584 cm^3

Now, to find the the depth of the tin, we have to realize that the content of the cylinder should fill in the tin to a particular height.

Now let’s say the height of the tin is x, this means its volume which is l * b * h = 16 * 11 * x = 176x

So the depth x would be;

176x = 1584

x = 1584/176 = 9 cm

Description:

The base of the prism is a square with sides measuring 5 cm, so its area is

(5cm)*(5cm)= 25 square cm

So the volume of the prism, in cubic cm, is

25*12=300

The volume of a pyramid is (1/3)(area of base)(height) .

It is 1/3 of the volume of a rectangular prism with the same base and height.

So the volume of the pyramid in this problem, in cubic cm, is

1/3*300=100

So the volume of the space outside the pyramid but inside the prism, in cubic cm, is

300-100= 200

Answer: =200

Please mark brainliest

Hope this helps.

Answer:y=-1/2x+3

Step-by-step explanation:

y=-1/2x+3

Bc any slope that is the same as the line is parallel.

So if you count, 1 up and two to the left.

Answer:

230

Step-by-step explanation:

Okay, so if Lidia got 75% means that Henry got 25%, right?

Then Lidia got 50% more than Henry did. So that 460 = 50%

So Henry got 25% which is 460/2 = 230 snow globes

Answer:

The answer is, 8.5

Step-by-step explanation:

1.25×8=10

10-1.5=8.5

Answer:

It is a vertical line

Step-by-step explanation:

the equation will be in the form of Ax=C hence we can make X the subject of the formula giving

[tex]x = \frac{ a}{c} [/tex]

Let x = length and y = width

You would have 2 lengths, so 2x and 3 widths, so 3y

Those need to equal total length of fence:

2x + 3y = 1200

The 3 widths would equal total fence minus the 2 lengths:

3Y = 1200-2x

Solve for y: y = 400 -2/3x

Area = length x width = xy. Replace y :

Area = x(400-2/3x) = 400x-2/3x^2

Differentiate:

400-4x/3 =0

4x/3 = 400

4x = 1200

X = 300

Y = 400-2/3(300) = 200

The dimension would be 300 ft x 200 ft

Answer:

6.49

Step-by-step explanation:

2.49 + 0.25(16)

2.49+4

6.49

Answer:

$6.49

Step-by-step explanation:

1 lb = 16 oz

His salad weighs 1 lb, 8 ounces which is the same as 16 ounces plus 8 ounces.

8 ounces cost $2.49

His salad weighs 16 ounces more than 8 ounces, so in addition to the $2.49, he needs to pay $0.25 per ounce for 16 extra ounces.

16 * 0.25 = $4.00

Total cost = $2.49 + $4.00 = $6.49

Answer:

(9x-2)(9x+2)

Step-by-step explanation:

81x^2 - 4

Rewriting as

(9x)^2 - 2^2

This is the difference of squares a^2 - b^2 = (a-b)(a+b)

(9x-2)(9x+2)

Answer:

(9x + 2)(9x - 2)

Step-by-step explanation:

To factor this expression, you can use a neat trick called difference of squares.

Difference of squares tells us:

a^2-b^2 = (a+b)(a-b)

Now look at the expression we have here:

81x^2 - 4

well, we know that 81 is 9^2, x^2 is literally x^2, and 4 is 2^2

So we can rewrite this as:

(9x)^2 - 2^2

By difference of squares that gives us:

(9x + 2)(9x - 2)

Answer:

324cm^3

Step-by-step explanation:

The formula for calculating volume of a triangular prism is 1/2× bhl (b : base, h : height, l : length)

1/2 × 6 × 9 × 12 = 324cm^3

Answer:

Scientific notation simply refers to the process of expressing long numbers in decimal.

Answer:

Step-by-step explanation  

Scientific notation is a way of writing numbers that is often used by scientists and mathematicians to make it easier to write large and small numbers. A number that is written in scientific notation has several properties that make it very useful to local scientists. It makes very large numbers into smaller numbers using decimals and exponents.

Answer:

[tex]v=-3i+5j[/tex]

Step-by-step explanation:

In the representation of a vector we must take into account the coordinate in which its tip is located.

In this case the vector tip is at [tex](-3,5)[/tex] and starts at the coordinate origin.

When expressing a vector in the following form:

[tex]v = ai + bj[/tex]

the numbers [tex]a[/tex] and [tex]b[/tex] represent the components of the vector, that is, the vector measurements when projecting it onto the axes.

The number that accompanies i ([tex]a[/tex]) is the component of the vector on the x-axis, in this case it is 3 units:

[tex]a = -3[/tex]

And the number that accompanies j ([tex]b[/tex]) is the component of the vector in the y-axis, in this case 5:

[tex]b = 5[/tex]

thus, the result is is:

[tex]v=-3i+5j[/tex]

Answer:

[tex]3x-7y[/tex]

Step-by-step explanation:

[tex]9x-7y-6x[/tex]

[tex]9x+-7y+-6x[/tex]

[tex]9x+-6x+-7y[/tex]

[tex]3x+-7y[/tex]

Answer:

3x-7y

Step-by-step explanation:

9x and 6x are like terms

We subtract 6x from 9x because it is a negative

9x-6x= 3x

7y is also negative that's why the answer is 9x-7y

But you can also do -7y + 3x

It doesn't matter it's still the same

Hope this helps!

Answer:

Step-by-step explanation:

This models the standard form of an exponential equation:

[tex]y=a(b)^x[/tex], where a is the intial value and b is the growth rate. The number in our function that holds position a is 1200. So the initial population is 1200.