Which pair of binomials gives a product that is a perfect square trinomial?
A. (2x – 3)(2x – 2) C. (2x + 3)(2x + 3)
B. (2x + 2)(2x – 2) D. (2x + 3)(2x – 3)

Answer:

The value of A ,when r=5 then A = 14

Answer:

I think a

Step-by-step explanation:

Answer:

No wheel shown

Step-by-step explanation:

9514 1404 393

Answer:

  C.  Reflecting over the y-axis and then translating to the right 8 units

Step-by-step explanation:

Reflection over the line x=4 gives you the transformation ...

  (x, y) ⇒ (2·4 -x, y) = (-x +8, y)

This is precisely the same transformation you get by reflection over the y-axis:

  (x, y) ⇒ (-x, y)

followed by translation to the right 8 units:

  (-x, y) ⇒ (-x +8, y)

__

Reflection over x=4 is the same as reflection over y and translation right 8.

Answer:

[tex]x=2.3\text{ only }[/tex]

Step-by-step explanation:

We are given the second derivative:

[tex]g^\prime^\prime(x)=0.1x^5-0.29x^4-0.694x^3+1.9136x^2[/tex]

And we want to find the values for -3 < x < 4 in which the graph of g has a point of inflection where the concavity changes from concave up to down.

First, recall that inflection points occur whenever g''(x) = 0 or is undefined.

And that:

Graphing the function (please refer below for the graph), we can see that g''(x) has an inflection point at x = -2.6, 0, 2.3, and 3.2.

If g''(x) changes from concave up to concave down, the values before and after that inflection point must be positive and then negative.

We can see that g''(x) is only positive for the values before the inflection points at x = 0 and x = 2.3.

However, for values after the inflection points, only x = 2.3 becomes negative.

Therefore, since at x = 2.3, the graph changes from positive to negative, this is where the graph of g changes from concave up to concave down.

Notes:

For the point x = 0, the graph stayed positive both before and after x = 0.

Therefore, g does not have an inflection point at x = 0.

Answer:

-24

Step-by-step explanation:

12(-2)+5(3)-15

-24+15-15

-24+15

-9-15

= -24

Answer:

1e+18

Step-by-step explanation:

Answer:

The equation in Point-slope form of a line that has a slope of 3/4 and passes through the point (-4, -12) is:

[tex]y+12=\frac{3}{4}\left(x+4\right)[/tex]    

The graph of the equation line is also attached below.    

Step-by-step explanation:

Given

To determine

We have to determine the equation in Point-Slope Form.

We know that the Point-slope form of a line equation is defined as

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case:

substituting the values m = 3/4 and the point (x₁, y₁) = (-4, -12) in the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-12\right)=\frac{3}{4}\left(x-\left(-4\right)\right)[/tex]

Apply rule:  [tex]-\left(-a\right)=a[/tex]

[tex]y+12=\frac{3}{4}\left(x+4\right)[/tex]    

Therefore, the equation in Point-slope form of a line that has a slope of 3/4 and passes through the point (-4, -12) is:

[tex]y+12=\frac{3}{4}\left(x+4\right)[/tex]    

The graph of the equation line is also attached below.    

Answer:x= -1/2

Step-by-step explanation:

Answer:

{0, 1, 2, 3, 4, 5,....} ;

{0, 1, 2, 3} ;

Step-by-step explanation:

Number of insect on a randomly selected plant

The number of insect in such an experiment will be an integer value ;

Hence, sample space will be ;

{0, 1, 2, 3, 4, 5,....}

B.) Event of at most three insects:

Number of insects = 0 ;

Number of insect = 1 ;

Number of insect = 2 ;

Number of insect = 3 ;

n ≤ 3 {x : x ≤ 3}

{0, 1, 2, 3}

3.)

Each possible outcome in the sample space cannot be equally likely due to the fact that the number of insects on the selected plants will vary. With some plants having none to large number of insects while some have small amount of insects.

Answer:

Answer: (8,12) Third option

Step-by-step explanation:

Equivalent Ratios

Nardia plotted some points showing equivalent ratios. The points shown in the graph are: (2,3), (4,6), (10,15)

The ratios of the points in the form y:x are:

[tex]\frac{3}{2}[/tex]

[tex]\frac{6}{4}=\frac{3}{2}[/tex]

[tex]\frac{15}{10}=\frac{3}{2}[/tex]

Note all the ratios are equivalent.

From the ordered pairs provided in the choices, only one of them has the same ratio y:x.

Point (12,8) has a ratio:

[tex]\frac{12}{8}=\frac{3}{2}[/tex]

Answer: (8,12) Third option

Answer:

√130

Step-by-step explanation:

_______________________

Answer:

The population decrease by 17%.

Step-by-step explanation:

This is because 66,400 is 83% of 80,000.

100%-83%= 17%

Therefore, the percentage of the population that decreased was 17%

Answer:

BD is just equal to the sum of BC and CD.

So we have: BD = x + x + 5

Simplifying, we have BD = 2x+5

Let me know if this helps!

Answer:

The z score for your flight's taxi time is of 2.14.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.

This means that [tex]\mu = 15, \sigma = 1.4[/tex]

On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.

This is Z when [tex]X = 18[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 15}{1.4}[/tex]

[tex]Z = 2.14[/tex]

The z score for your flight's taxi time is of 2.14.

You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.

The z score for our flight's taxi time is approx 2.14286

Suppose you  have got a normal distribution variate with mean  [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have

[tex]X \sim N(\mu, \sigma)[/tex]

To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:

[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

For the given case we have:

Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,

[tex]X \sim N(15, 1.4)[/tex]

Converting it to standard variate:

[tex]Z = \dfrac{X - 15}{1.4}[/tex]

Since the observed taxi time was 18 minutes, thus, we have X = 18,

Getting the z score:

[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]

Thus,

The z score for our flight's taxi time is approx 2.14286

Learn more here about normal distribution here:

brainly.com/question/14989264

Answer:

Step-by-step explanation:

Answer: -26/15

Step-by-step explanation:

8+7 cause f(x) is 8

Answer:

c shows 3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Has three different terms.

3 years: 1,591.81 or 1,592

4 years: 1,623.65 or 1,624

Answer:

Step-by-step explanation:

100-25<= 7.5x

x >= 10

Answer:

Responsability+nopartyscapes=200$!!!!

Step-by-step explanation:

Answer:

A. base

Step-by-step explanation:

if this helped please press the pink "thanks" button

Answer:

m<1 = 62°

m<2 = 45°

m<3 = 24°

Step-by-step explanation:

Hi!

Let me walk you through it!

The first step is to find angle 1.

Angle 1 is supplementary with the angle 118°

So we do 180° - 118° = 62°

m<1 = 62°

Then we find angle 2.

There are two ways to do this

The sum of interior angles in a triangle is 180°

So we do 180° - (73 + 62°)

Open parenthesis:

180° - 73° - 62° = 45°

You can also use the exterior angle theorem

118° = 73° + m<2

Same to both sides:

45° = m<2

So

m<2 = 45°

Now, using this information, we can find angle measure 3.

Now we look at the big triangle. Again, there are two ways to do this.

First way:

m<1 + 49° + m<2 + m<3 = 180°

Plug in known-values

62° + 49° + 45° + m<3 = 180°

Combine like terms:

156° + m<3 = 180°

Same to both sides:

m<3 = 24°

Second way:

Exterior angle theorem.

118° = m<2 + m<3 + 49°

Plug in known-values:

118° = 45° + m<3 +49°

Combine like terms:

118° = 94° + m<3

Same to both sides:

24° = m<3

So m<3 = 24°

There you go! You just need to take it step-by-step and you can get the answer. Be open-minded, don't just try to go for a certain angle, see what you can do, and work from there. It all comes together at the end.

Let me know if you have any questions, have a good day!

Answer:

first option

Step-by-step explanation:

the working is reallly long im lazy to type hehe sorry

Answer:

Option A

Hope this helps! :)

Answer:

x = 7.5

Step-by-step explanation:

x + 2 1/2 = 10

Subtraction Property of Equality

x = 7 1/2 as a mixed number = 15/2 as an improper fraction = 7.5 in decimal form

I usually prefer decimal form