What is the product? (x+3)(2x-1)

[tex] {2x}^{2} - 3[/tex]
[tex] {2x}^{2} + 6x[/tex]
[tex] {2x}^{2} + 5x - 3[/tex]
[tex] {2x}^{2} + 6x - 3[/tex]
​

Answer:

1,500 square feet

Step-by-step explanation:

you have to convert yards to feet and multiply

Answer:

x = 1/3

Step-by-step explanation:

First distribute the 2 to the (x + 3) and get 3x-2x-6 = 4x - 7.

Combine like terms and get x- 6 = 4x - 7.

Subtract x from either side and get -6 = 3x - 7

Now add 7 to both sides and get 3x = 1

Now divide 3 from both sides and get x = 1/3

A function that models the total cost of running the air conditioner for the first 400 minutes is [tex]T=130 +0.25m[/tex].

Given the following data:

To write a function that models the total cost of running the air conditioner for the first 400 minutes:

First of all, we would write an equation to models the total cost of running the air conditioner for the first 400 minutes:

For the total time:

[tex]0.25m[/tex]

For the total cost:

[tex]T=130 +0.25m[/tex]

For the domain:

The value of m is the domain and it can be chosen from 0 to 130.

Domain (m) = [0, 130].

For the range:

A range represents the minimum and maximum value of a data set.

Thus, the value of T would be between 130 and 230.

Range = [130, 230].

For the intercept:

when x = 0, we have:

[tex]y=130 +0.25(0)[/tex]

y = 130.

Intercept = [0, 130]

Read more on word problems here: https://brainly.com/question/13170908

Answer: [tex]12^{2}[/tex] + 43x + 35

Answer: I took the test and got 8x^2 + 26x + 15

I hope this helped!

Answer:

The probability of a negative is 0.64 but the probability of a positive is 0.36

Step-by-step explanation:

Answer:

[tex]y=6(x-8)-2\qquad\text{point-slope form}[/tex]

[tex]y=6x-50\qquad\text{slope-intercept form}[/tex]

Step-by-step explanation:

The equation of a line can be written in several forms. Two of the most-used forms are the point-slope and the slope-intercept forms.

The point-slope form requires to have one point (xo, yo) through which the line passes and the slope m. The equation expressed in this form is:

[tex]y=m(x-xo)+yo[/tex]

The slope-intercept form requires to have the slope m and the y-intercept b, or the y-coordinate of the point where the line crosses the y-axis. The equation is:

[tex]y=mx+b[/tex]

The line considered in the question has a slope m=6 and passes through the point (8,-2). These data is enough to find the point-slope form of the line:

[tex]\boxed{y=6(x-8)-2\qquad\text{point-slope form}}[/tex]

To find the slope-intercept form, we operate the above equation:

[tex]y=6x-48-2[/tex]

[tex]\boxed{y=6x-50\qquad\text{slope-intercept form}}[/tex]

Sorry I was wrong I searched up the wrong one but I would go with option C

Answer:

[tex]\frac{5}{10}, \frac{4}{10}, \frac{1}{10}[/tex]  are the numbers you need

Step-by-step explanation:

The least common denominator of those two numbers is 10.

[tex]\frac{1}{2} * \frac{5}{5} = \frac{5}{10} \\\\\frac{2}{5} * \frac{2}{2} = \frac{4}{10} \\\\\frac{5}{10} - \frac{4}{10} = \frac{1}{10}[/tex]

I hope this helps! Have a lovely day! :)

Answer:

if im correct the answer should be 5 x 10

Step-by-step explanation:

Answer:

A≈314.16

Step-by-step explanation:

a circle's diameter is 2 x radius

20/2 = radius

Area formula: A=πr^2

A=π 10^2

A≈314.16

Answer:

Step-by-step explanation:

x^3 + 3x^2 - 10x

~Factor

x(x - 2)(x + 5)

Solve for the zero.

x(x - 2)(x + 5) = 0

We know that; x = 0, x - 2 = 0, and x + 5 = 0

x = 0

x - 2 = 0

x = 2

x + 5 = 0

x = -5

Best of Luck!

Here we are provided with an polynomial of degree 3 and we have to factorise it first and then we have to compute it's zeroes.

Given Polynomial:

Taking common x from all the 3 terms,

➝ x(x² + 3x - 10)

Factorising through Middle term factorisation,

➝ x(x² + 5x - 2x - 10)

➝ x{x(x + 5) - 2(x + 5)}

➝ x(x - 2)(x + 5)

Hence, Factorised !!

Now equating to 0 to find the zeroes of the poly.

➝ x(x - 2)(x + 5) = 0

That means,

So, the zeroes of the polynomial is 0, 2 or -5

And we are done....

Carry On Learning [tex]![/tex]

Answer: 9.77 cm

Step-by-step explanation:

The volume of the box is length x width x height (V = l*w*h). The area of the lid of the box is the length x width (A = l*w). So, to find the height, you can change the equation to volume / (length x width) = height (V/(l*w) = h). Divide the volume by the area (420/43), to get the answer of 9.77 cm.

Answer:

CD = EC ⇒ proved down

Step-by-step explanation:

If a point lies on a segment, then it divides the segment into two parts, the sum of their length equals the length of the segment

Example:

If point Z lies on the segment XY, then Z divides XY into segments XZ and ZY, where XY = XZ + ZY

Let us use this fact to solve the question

∵ BD and EF intersected at point C

∴ C divides BD into two segments BC and CD

∴ C divides EF into two segments EC and CF

→ By using the fact above

∴ BD = BC + CD

∴ EF = EC + CF

∵ BD = EF ⇒ given

→ Equate their right sides

∴ BC + CD = EC + CF

∵ BC = CF ⇒ given

→ That means their adding segments are equal

∴ CD = EC ⇒ proved

Answer:

Step-by-step explanation:

Slope intercept form is y = mx + b where m is the slope and b is the y intercept.

We are given m = 1/2

Plug the point (-4,-5) in for x and y and the given slope in for m.

y = mx + b

-5 = 1/2(-4) + b

Now solve for b.

-5 = -2 + b

b = -3

Now plug m and b back in to get your slope intercept form.

y = 1/2x -3

Hope this helps!

Answer:

  66 cm²

Step-by-step explanation:

As you know from the area formulas, the area of a triangle is equivalent to half the area of a rectangle with the same base and height. Another way to say that is the area of a triangle is equivalent to the area of a rectangle with the same base and half the height.

The triangle added to the side of the square is equivalent in area to a rectangle with the same 6 cm base (vertical dimension), and half the 10 cm height (horizontal dimension). That is, the total area of the polygon is the same as the area of one that is 6 cm high and 6+5 = 11 cm wide.

  A = LW = (6 cm)(11 cm) = 66 square centimeters

__

If you want to figure the area more conventionally, it is the sum of the area of a 6 cm square and a 6×10 cm triangle:

  6² +1/2(6)(10) = 36 +30 = 66 . . . square centimeters

Answer:

50336

Step-by-step explanation:

The cost deprecates by 12% each year. If we have to find how much it deprecated for 2 years, we will have to calculate how much is 12% of the current price, subtract it, then find how much is 12% equal to again and subtract it once again. Not sure if that's the smartest way to do it though.
Anyway, we have
65000, 12% of 65000 is equal to (65000 * 12) / 100 = 650 * 12 = 7800
After the first year, the price will be:
65000 - 7800 = 57200

Now we do the same thing:
12% of 57200 = 57200 * 12% = 57200 * 12/100 = 57200 / 1 * 12/100 = (57200 * 12) / 100 * 1 = 572 * 12 / 1 = 572 * 12 = 6864
After the second year the price will be:
57200 - 6864 = 50336

Answer:

49

Step-by-step explanation:

By the definition of slope, as vertical change over horizontal change, we get

[tex]-4=m = \frac{\Delta y }{\Delta x} = \frac{r-1}{-6-6} = -\frac{r-1}{12}[/tex]

By checking the first and the last step of that chain

[tex]-4=-\frac {r-1}{12} \rightarrow r-1=48\rightarrow r= 49[/tex]

Let:

Ms. Barton = b

Mr. Weaver = b + 8

Mr. Fitzgerald = 2b - 15

Mr. Lloyd = 1/2b + 30

Find b:

176 = b + b + 8 + 2b - 15 + 1/2b + 30

176 = 9/2b + 23

153 = 9/2b

b=34

Plug in 9 to b:

Ms. Barton = 34 slices (4th place)

Mr. Weaver = 34 + 8 = 42 slices (3rd place)

Mr. Fitzgerald = 2(34) - 15 = 53 slices (1st place)

Mr. Lloyd = 1/2(34) + 30 = 47 slices (2nd place)

Answer:

2/4 is greater

Step-by-step explanation:

if you reduce 2/4 its 1/2 and 5/6 cant be reduced so therefor 2/4 is greater

Answer:

10% to decimal is equal to 0.1.

Therefore 20 x 0.1 = 2

Step-by-step explanation:

Each window is independently probable for having minor defects. The expected number of window frames having minor defects = 2.

Other figures are:

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value and variance of X are:

For the considered case, we can assume that each window is independent of each other for having defects or being perfect.

Each window can be having defects (call it success) or no defects(call it failure).

Then, we can take:

X =  number of windows out of 20 windows being perfect (no defect).

Then we get:

Evaluating each sub parts one by one:

Expect number of defective windows = E(X) = np = 20 × 0.1 = 2

Standard deviation is the positive root of variance.

Standard deviation of number of windows (out of 20 windows of sample) having defects = [tex]\sqrt{Var(X)} = \sqrt{np(1-p)} = \sqrt{2(0.9)} \approx 1.34[/tex]

P(X = 2) = [tex]^{20}C_2(0.1)^2(0.9)^{18} \approx 0.285[/tex]

P(X > 3) = 1 - P(X ≤ 3)

[tex]P(X > 3) = 1 -[ P(X = 0) + P(X = 1) +P(X= 2)+ P(X = 3)]\\\\P(X > 3) = 1- [^{20}C_0(0.1)^0(0.9)^{20} +^{20}C_1(0.1)^1(0.9)^{19} +\\\: \:\: ^{20}C_2(0.1)^2(0.9)^{18} +^{20}C_3(0.1)^3(0.9)^{17} ]\\\\P(X > 3) \approx 1-[ 0.1216 + 0.2702 + 0.2852 + 0.1901]=1-0.8671=0.1329 \\\\P(X > 3) \approx 0.1329[/tex]

Thus, the needed figures are:

Learn more about binomial distribution here:

https://brainly.com/question/13609688

Answer:

Well, according to the question, option D is the main answer

Answer:

B. "bivariate data"

Quizlet fortunately had the same question with this answer, so here you go! :)

Answer:

20 cm³

Step-by-step explanation:

Since the volume of a cylinder is 60 cm³, which we can express it as:

[tex]\displaystyle \large{\pi r^2 h=60}[/tex]

Keep in mind that [tex]\displaystyle \large{\pi r^2 h}[/tex] is the cylinder’s volume formula, and we want to find the volume of a cone with same radius and height. When they say same radius and height, they mean that the radius and height are the same as cylinders’.

But since no values of radius and height are given, we know that the volume of a cone is:

[tex]\displaystyle \large{\frac{1}{3}\pi r^2 h}[/tex]

Compare both formulas:

[tex]\displaystyle \large{\pi r^2h}[/tex] — cylinder’s volume

[tex]\displaystyle \large{\frac{1}{3}\pi r^2h}[/tex] — cone’s volume

See how they are quite similar except that cone’s volume has 1/3. That means cone’s volume is 1/3 of cylinder’s volume

Finding cone’s volume, multiply both sides by 1/3:

[tex]\displaystyle \large{\pi r^2h=60}\\\displaystyle \large{\frac{1}{3}\pi r^2h=\frac{1}{3}\cdot 60}\\\displaystyle \large{\frac{1}{3}\pi r^2h=20}[/tex]

Therefore, the volume of a cone with same radius and height from cylinder is 20 cm³.

__________________________________________________________

Summary

Volume (Cone) (1/3 of cylinder’s volume):

[tex]\displaystyle \large{V=\frac{1}{3}\pi r^2 h}[/tex]

Volume (Cylinder):

[tex]\displaystyle \large{V=\pi r^2h}[/tex]

They are quite related!

__________________________________________________________

Others

Let me know if you have any doubts about my answer, explanation or this question through comment!

a= v-u/t

3 = v-0/6

3 = v/6

v=18 m/s

Answer:

Step-by-step explanation:

I hate this app! its so horrible rate me bad I dont care I hate YOU

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The answer is 10 because:

1) Absolute value makes all negative or positive numbers positive (unless there is a negative sign outside the absolute value sign).

2) Therefore, the absolute value of 10 is positive 10.

Hope this helps! :D