The graph for the equation y = 2 x + 4

On a coordinate plane, a line goes through (negative 2, 0) and (0, 4).

If another equation is graphed so that the system has one solution, which equation could that be?
A) y = 2 x minus 4
B) y = 2 (x + 2)
C) y = 2 (x minus 4)
D) y = x + 4

Answer:

7 3/4

Step-by-step explanation:

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

Answer:

2.0986814e+29

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

punch your calculator to find out

even the calculator might not give u the exact value

Answer:

If you are writing a seesya let me help you

Step-by-step explanation:

Make sure to hilight key info

Also use grammarly to correct past tense and sentences

Make sure to make sense

Answer:

This captain could select 350 different teams.

Step-by-step explanation:

The order in which the girls and the boys are picked is not important. For example, picking Daniela and Laura is the same as picking Laura and Daniela. So we use the combinations formula to solve this question.

Combinations Formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Girls:

2 from a set of 5. So

\(C_{5,2} = \frac{5!}{2!(5-2)!} = 10\)

Boys:

3 from a set of 7. So

\(C_{7,3} = \frac{7!}{3!(7-3)!} = 35\)

Total:

\(10*35 = 350\)

This captain could select 350 different teams.

Answer:

B

Step-by-step explanation:

3(2+1)

3(3)

9

that how i solved it

Answer:

182 gallons of water

Answer:

12

Step-by-step explanation:

6/18 = X/36

or, 6 multiply by 36 = x multiply by 18

or, 216 = 18x

or, 216/ 18 = x

or, x= 12

Answer:

12

Step-by-step explanation:

6/18 can be simplified to 3/9 which can then be simplified to 1/3

12/36 can be simplified to 6/18 which can be simplified to 3/9 which can then be simplified to 1/3 making 12 the correct answer

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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Answer:

-4 < x < -2

Step-by-step explanation:

Taking the left part of the inequality :

Taking the right part of the inequality :

Solution :

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

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The side AC corresponds to the side AC in the other triangle and the length of BC is 15 units

For two triangles to be similar, the corresponding sides of the triangles must be in proportion

Having said  that

The side AC corresponds to the side AC in the other triangle

The length BC is calculated as

BC/9 = 25/15

Express as products

So, we have

BC = 9 * 25/15

Evaluate the products

BC = 15

Hence, the length of BC is 15 units

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Answer:

940,000

Step-by-step explanation:

Since there is a 6 in 936,292, that gives you the right to make the ten thousandth higher if that makes sense

Answer:

B. Mean = 1.6 years, standard deviation = 0.92 years, shape: approximately Normal.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

35 gas ovens

A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviation of 4.2 years. This means that:

\(\mu_G = 15, \sigma_G = 4.2, n = 35, s_G = \frac{4.2}{\sqrt{35}} = 0.71\)

40 electric ovens.

The distribution of life spans for electric ovens has a mean of 13.4 years and a standard deviation of 3.7 years.

\(\mu_E = 13.4, \sigma_E = 3.7, n = 40, s_E = \frac{3.7}{\sqrt{40}} = 0.585\)

Which of the following best describes the sampling distribution of barXG - bar XE, the difference in mean life span of gas and electric ovens?

By the Central Limit Theorem, the shape is approximately normal.

Mean: \(\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6\)

Standard deviation:

\(s = \sqrt{s_G^2+s_E^2} = \sqrt{(0.71)^2+(0.585)^2} = 0.92\)

So the correct answer is given by option b.

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

Every three candy bars cost a dollar.

Divide 25 by three.  

$8.33

Answer:

x = 19.5, RQS=43

Step-by-step explanation:

It is important to note that RQS and TQS are supplementary, meaning their angles will add up to 180. Knowing this, we can create and solve the equation to find x..

(2x+4) + (6x+20) = 180

8x + 24 = 180

8x = 156

x = 19.5

Now that we know the value of x, we can substitute it into the equation for RQS, 2x+4.

2(19.5)+4

39+4

43

Hope this helped!

Answer:

\(x=19.5^o\)

\(\angle RQS=43^o\)

Step-by-step explanation:

Notice that the addition of these two angles give you and angle of \(180^o\), therefore we can write the following equation to represent such addition:

\((2x+4)^o + (6x+20)^o=180^o\\2x+6x+4^o+20^o=180^o\\8\,x+24^o=180^o\\8\,x=180^o-24^o\\8\,x=156^o\\x=156^o/8\\x=19.5^o\)

Therefore, the value of the angle RQS is:

\(\angle RQS=(2\,x+4)^o=(2\,*\,19.5^o)+4^o=43^o\)

Answer:3 /8

Step-by-step explanation:

Answer:

Letters A. and D. would fill in the blank correctly.

Answer: D. y= 15/x

Step-by-step explanation:

We have to test each explanation first, but I started with D because it is the most reasonable.

When you check the first column, you take 15 and divide it by 15. What do you get? 1.

1. X= 15 Y= 1 (15/15) = 1

When you check the second column, you take 15 and divide it by 5. What do you get? 3.

2. X= 5 Y= 3 (15/5) = 3

When you check the third column, you take 15 and divide it by 3. What do you get? 5.

3. X= 3 Y= 5 (15/3) = 5

When you use the fourth column, you take 15 and divide it by 1. What do you get? 15.

4. X= 1 Y= 15 (15/1) = 15

Since this all checks out, the answer is therefore correct.

*MAKE SURE TO READ IT CAREFULLY TO UNDERSTAND IT*

Answer:

x=3.5

Step-by-step explanation:

subract 5 on the other side, than divide by 2

AnswWhen f(x) is divided by x-1 and x+1 the remainder are 5 and 19 respectively.

∴f(1)=5 and f(−1)=19

⇒(1)  

4

−2×(1)  

3

+3×(1)  

2

−a×1+b=5

and (−1)  

4

−2×(−1)  

3

+3×(−1)  

2

−a×(−1)+b=19

⇒1−2+3−a+b=5

and 1+2+3+a+b=19

⇒2−a+b=5 and 6+a+b=19

⇒−a+b=3 and a+b=13

Adding these two equations, we get

(−a+b)+(a+b)=3+13

⇒2b=16⇒b=8

Putting b=8 and −a+b=3, we get

−a+8=3⇒a=−5⇒a=5

Putting the values of a and b in

f(x)=x  

4

−2x  

3

+3x  

2

−5x+8

The remainder when f(x) is divided by (x-2) is equal to f(2).

So, Remainder =f(2)=(2)  

4

−2×(2)  

3

+3×(2)  

2

−5×2+8=16−16+12−10+8=10er:

Step-by-step explanation:

The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

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Answer:

Step-by-step explanation:

The Sequence is not properly written. Here is the correct sequence

408, 433, 458...

THe sequence is an arithmetic sequence. The nth term of an arithmetic sequence is expressed as;

\(T_n = a+(n-1)d\) where;

a is the first term

d is the common difference.

Common difference is the constant value that is being added to preceding term of the sequence to get the next value in the sequence.

T1 = 408

T2 = 433

T3 = 458

d = T3-T2 = T2-T1

d = 458-433 = 433-408

d = 25

Hence the common difference in the sequence is 25

The value of x in the diagram given 42°

Using angle theorems, the angles are opposite and the reflex angles can be calculated thus :

Recall :

Sum of reflex angles is 360°

(x + x + (3x+12) + (3x + 12) ) = 360°

2x + 6x + 24 = 360

8x = 360 - 24

8x = 336

x = 336/8

x = 42°

Hence, the value of x is 42°

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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