as
Complete the equation describing how x
and y are related.
ху
-2
-1
0
1
2
3
-8
-5
-2
1
4
y = [? ]x +
Enter the answer that
belongs in [?].

AsComplete The Equation Describing How Xand Y Are Related.-2-10123-8-5-214y = [? ]x +Enter The Answer

Answers

Answer 1

Answer:

[tex] y = 3x - 2 [/tex]

Step-by-step explanation:

The equation that describes how x

and y are related is given in the slope-intercept form, [tex] y = mx + b [/tex]

Where, m = slope, and b = y-intercept.

Let's find the value of m and b using the table of values given.

Using two of the pairs given, (-2, -8) and (-1, -5),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-8)}{-1 -(-2)} = \frac{3}{1} = 3 [/tex]

Substitute x = -2, y = -8, and m = 3 in [tex] y = mx + b [/tex] to find the value of b.

Thus:

[tex] -8 = (3)(-2) + b [/tex]

[tex] -8 = -6 + b [/tex]

Add 6 to both sides

[tex] -8 + 6 = b [/tex]

[tex] -2 = b [/tex]

Substitute m = 3 and b = -2 in [tex] y = mx + b [/tex].

The equation that describes how x

and y are related would be:

[tex] y = 3x - 2 [/tex]


Related Questions

Helen had Php7500 for shopping money. When she got home, she had Php132.75 in her pocket. How much did she spend for shopping?

Answers

Answer:

Step-by-step explanation:

Helen had Php7500 for shopping money

she had Php132.75 in her pocket

she spend= 7500.00-132.75

=7367.25answer

(Giving brainliest!!)


How would the decimal point move to solve the equation 124 ÷ 101 = ________?

A) 1 place to the left
B) 1 place to the right
C) 2 places to the left
D) 2 places to the right

Answers

Answer:

1 place to the right

Step-by-step explanation:

hope it help

Lines A and B are parallel lines. Find the measures of
angles 1, 2 and 3.

a. m21=
b. m 2 =
C. m3 =

What are the degrees of these three angles
plzzzz hurry

Answers

M1 is 60



I only know this one sorry

Answer:

A. M<1=33

B. M<2=90

C. M<3=57

Step-by-step explanation:

I hope this helps you good day guys Merry Christmas!!! :)

What is the slope of a line parallel to the line whose equation is x+2y=10.fully reduce your answer

Answers

Answer:

slope: 0.5x

Step-by-step explanation:

1. -x +10

2. -1/ 2 = -0.5

3. 10/2 = 5

4. y = 0.5x + 5

Find the product of (x - 3)2.

Answers

Answer:

2x-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x - 3)^2 = x^2 - 3x - 3x + 9 = x^2 - 6x + 9

Ocho veces un numero aumentado en 30 es igual a seis veces el mismo numero, aumentado en 50.¿De que numero se trata?

Answers

Answer:

25 sobre 117. no estoy segura pero eso es lo que gare llo

Choose the fraction that has not been reduced to simplest form.

[tex]\frac{1}{16} \frac{21}{34} \frac{3}{57} \frac{11}{17}\\[/tex]

Answers

first one since it’s 1/16 simplest form or 11/17 cuz it’s obv

Answer:

3/57

Step-by-step explanation:

3/57 because 3/3*19=1/19

What is the difference between an expression and an any quality

Answers

Answer:

A expression is a number, variable, or a combination of numbers and variables and operation symbols. A equality is a relationship between 2 quantities or more . Hope it helps:)))

Step-by-step explanation:

In ΔOPQ, o = 6.6 inches, p = 2.1 inches and q=6 inches. Find the measure of ∠O to the nearest 10th of a degree.

Answers

Answer:

The measure of ∠O is 97.2° to the nearest tenth

Step-by-step explanation:

To solve this question, we will use the cosine rule

In Δ OPQ

Side o is opposite to ∠O

Side p is opposite to ∠P

Side q is opposite to ∠Q

By using the cosine rule

o² = p² + q² - 2(p)(q)cos∠O

∵ o = 6.6 inches

∵ p = 2.1 inches

∵ q = 6 inches

→ Substitute them in the rule above

∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O

∴ 43.56 = 4.41 + 36 - 25.2cos∠O

→ Add the like terms in the right side

∴ 43.56 = 40.41 - 25.2cos∠O

→ Subtract 40.41 from both sides

∵ 3.15 = -25.2cos∠O

→ Divide both sides by -25.2 to find cos∠O

-0.125 = cos∠O

→ Use your calculator to find ∠O

∵ m∠O = [tex]cos^{-1}(-0.125)[/tex]

∴ m∠O = 97.18075578

→ Round it to the nearest tenth ⇒ 2d.p.

m∠O = 97.2°

The product of two numbers is 1856. The sum is ninety. What is the difference of these two numbers?

Answers

Answer:  26

======================================================

Explanation:

x and y are the two numbers

The product of those values is 1856, so xy = 1856

The sum is 90, so x+y = 90. Solve for y to get y = 90-x

Plug this into the first equation

xy = 1856

x(90-x) = 1856

90x-x^2 = 1856

0 = x^2-90x+1856

x^2-90x+1856 = 0

Now use the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-90)\pm\sqrt{(-90)^2-4(1)(1856)}}{2(1)}\\\\x = \frac{90\pm\sqrt{676}}{2}\\\\x = \frac{90\pm26}{2}\\\\x = \frac{90+26}{2} \ \text{ or } \ x = \frac{90-26}{2}\\\\x = \frac{116}{2} \ \text{ or } \ x = \frac{64}{2}\\\\x = 58 \ \text{ or } \ x = 32\\\\[/tex]

If x = 58, then,

y = 90-x

y = 90-58

y = 32

So one pair of values is (x,y) = (58,32)

We see that x*y = 58*32 = 1856

If x = 32, then,

y = 90-x

y = 90-32

y = 58

Showing (x,y) = (32,58) is the other solution. But this is just a mirror copy of the first solution. Effectively we're saying the same thing.

The two numbers 58 and 32 multiply to 1856, and they add to 90.

The difference in the two values is 58-32 = 26 which is the final answer.

------------------------

In summary,

58*32 = 1856

58+32 = 90

58 - 32 = 26

Answer:26

Step-by-step explanation:

x+y=90

xy=1856

x*(90-x)=1856

-x^2 +90x -1856=0

or x^2 -90x +1856=0

Using quadratic equation

(x-58)*(x-32)=0

x=58, y=32

58-32=26

Find the sample size required to estimate the percentage of college students who take a statistics course. Assume that we want 95% confidence that the proportion from the sample is within four percentage points of the true population percentage. Round the answer to the next larger whole number.

Answers

Answer:

The sample size is    [tex]n = 600 [/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  E = 4% = 0.04

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Since the sample proportion (point estimate of the population proportion was not give we will assume it to be  )

       [tex]\^ p = 0.5[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{1.96}{0.04} ]^2 * 0.5 (1 - 0.5 ) [/tex]

=>  [tex]n = 600 [/tex]

 

Please help me, I'm really confused. Given that a ∥ b and m∠6 is 1/8 of m∠4, find m∠4 and m∠6.

Answers

9514 1404 393

Explanation:

Finish the Given statement, make use of the relationships of angles and parallel lines, then finish the algebra.

__

2. m∠6 = (1/8)m∠4 . . . . Given

3. m∠6 + m∠4 = 180° . . . . 3. same-side interior angles are supplementary

4. m∠6 + 8·m∠6 = 180° . . . . 4. Substitution (from 2, above: 8·m∠6 = m∠4)

Here is the "algebra" that gets you to line 5:

4a. 9m∠6 = 180° . . . collect terms

4b. m∠6 = 20° . . . . . divide by 9

4c. m∠4 = 8·20° = 160° . . . use the same relation as in step 4

5. m∠6 = 20°, m∠4 = 160° . . . . Algebra

m∠6=1/8m∠4

m∠6+m∠4=180°                S.S int. of parallel lines

m∠6+8·m∠4=180°

m∠6=20° m∠4=160°

Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. How many miles can he drive.

Answers

Answer:

Alex can drive for 100 miles.

Step-by-step explanation:

First, you do 30 - 18, which is 12. Divide 12 by 0.12 to get your answer, which is 100 miles.  

Hope this answer helped!

Answer:

Alex can drive for 100 miles

Step-by-step explanation:

Your field experience instructor wants to line up 7 cars for transportation to a grade school. Between you and your classmates, there are 29 cars available. How many different groups of 7 cars are possible? different groups

Answers

Answer:

1560780 selections

Step-by-step explanation:

Given

Cars = 29

Selection = 7

Required

Possible number of selections

The interpretation of the question is that, in how many ways can 7 cars be selected from 29.

This is done using combination formula as follows:.

[tex]^nC_r = \frac{n}{(n-r)!r!}[/tex]

Where

[tex]n = 29[/tex]

[tex]r = 7[/tex]

So, the formula becomes:

[tex]^{29}C_7 = \frac{29!}{(29-7)!7!}[/tex]

[tex]^{29}C_7 = \frac{29!}{22!7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23*22!}{22!7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7*6*5*4*3*2*1}[/tex]

[tex]^{29}C_7 = \frac{7866331200}{5040}[/tex]

[tex]^{29}C_7 = 1560780[/tex]

Hence, the number of ways is 1560780

please help please please​

Answers

Answer:

146 feet

Step-by-step explanation:

The missing angle is 146 degrees. May I please have Brainiest?????

Sam computed a 95% confidence interval for μ from a specific random sample. His confidence interval was 10.1 < μ < 12.2. He claims that the probability that μ is in this interval is 0.95. What is wrong with his claim?
A) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0.95 or 0.05.
B) A probability can not be assigned to the event of μ falling in this interval.
C) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0 or 1.
D) The probability that μ is in this interval is 0.05.

Answers

Answer: C) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0 or 1.

Step-by-step explanation: A 95% Confidence interval shows that there is a 95% confidence that the true parameter is between the lower and upper limits.

A CI is not a probability that the true parameter is in between the interval. The true parameter is either in the interval or not.

So, probability of falling between the limits is 0 (no chance of being in this interval) or 1 (100% possibility of being in this interval).

Then, "either μ is in the interval or it is not. therefore, the probability that μ is in this interval is 0 or 1." is correct.

Can y'all answer my question: 3d + 45 = 150

Answers

Answer:

d=35

Step-by-step explanation:

Options:
- does not
- does

Answers

Answer: does not

Step-by-step explanation: I think a linear equation is y=mx+b

Can anyone find the simplest radical form

Answers

Answer:

C.) [tex]55[/tex]

Step-by-step explanation:

Simplify the expression by finding the square root of 25:

[tex]\sqrt{x} =x*x\\\\\sqrt{25} =5*5\\\\11*5=55[/tex]

The answer is 55

:Done

Let a function y represent the water level in a harbor measured in meters, and let x represent the number of hours since high tide. At time x = 0, the water level is 19.5 meters (a maximum). At time x = 6.26 hours, the water level is 10.5 meters (a minimum). The period of the function is 12.5 hours.


After how many hours is the water expected to reach a depth of 17 meters for the first time? Round to the nearest tenth of an hour.


A 2.2 hours

B 6.3 hours

C 12.1 hours

D 12.5 hours

Answers

Answer:

A 2.2

Step-by-step explanation:

What is the first step needed to solve 2 over 5 multiplied by x minus 6 equals negative 16?

Subtract 16 from both sides
Add 6 to both sides
Divide both sides by 5
Multiply both sides by 2

Answers

Answer:

The correct answer is D.

Step-by-step explanation:

Jill walked 2 1/3 miles to the
treasure and then 1 3/4 miles back
to the boat. How many miles did
Jill walk in all?

Answers

2 1/3 + 1 3/4 = 4 1/12

4 1/12 miles in total.

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

C. y = 91

Step-by-step explanation:

you are given that x and y are proportional, this means that you can out them in a fraction

so when x is 8, y is 56, this can be written as 8/56

you are trying to find what y is when x is 3, so you can also put that in a proportion that is equal to the given fraction

so now we have 8/56 = 13/y

cross multiply 56 and 13, and 8 and x

you now have: 8y = 728

divide both sides by 8

you get y = 91

Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?

Answers

Answer:

8 ft of yarn

Step-by-step explanation:

146/18= 8.111

Round that number down to 8 to make all students get equal amounts of yarn

Answer:

8.11 ft

Step-by-step explanation:

146 ft divided into 18 prices

146 ÷ 18 = 8.11 ft for each student.

The Ted Williams Tunnel under Boston Harbor is 8,448 feet long. How many yards is the length of the tunnel?

Answers

Answer:

2816 yards

Step-by-step explanation:

In order to find the answer, you would need to divide 8,448 by 3 because there are 3 feets in a yard.

Hope this helps and pls do mark me brainliest if you can:)

What fraction of this shape is shaded?
You must give your answer in its simplest form.
Type here ​

Answers

The fraction of the shape which is shaded in simplest form is 1/3.

The square in the diagram provided has a total of 12 boxes .

The number of shaded part is 4

To calculate the shaded fraction of the shape we have to use the formula:

Number of shaded part/ Total number of boxes present.

= 4/12

We can divide the numerator and denominator by 4 to get the simplest form.

= 1/3

The fraction of the shape which is shaded in simplest form is therefore

= 1/3.

Read more about Fraction here https://brainly.com/question/17743912

would would the slope and y intercept be​

Answers

The slope is 12 because the y increases by 12 every time the x increases by 1. Finding the y intercept we need x to be 0. If we go backwards from the 1 of x to 0 we can subtract 12 from 8 to get -4.
Slope is 12 , y intercept is -4

The expression -7y is a
A term
B variable
C constant

Answers

Answer:

A. Term

Step-by-step explanation:

A constant does not cointain a variable, a variable by itself does not contain a constant.

It's a term because it has a constant and a variable.

Mackenzie sells shoes. She makes a 20% commission on all of her sales.
Write 20% as a fraction in simplest form.


Write 20% as a decimal.

Answers

Answer:

20% as a fraction is 20/100

20% as a decimal is 0.20

Step-by-step explanation:

Answer:

1/5 and 0.20

Step-by-step explanation:

20/100 = 10/50 = 2/10 = 1/5

20% is out of a 100, so move the decimal place of the 20 two times because 100 has 2 zeros.

0.20

At Nivea's Newsstand, 6 magazines cost $12.00. How many magazines could you buy with $16.00?

Answers

Answer:

You could by 8 magazines

Step-by-step explanation:

First, set up the equation 6/12=x/16

cross multiple to get 12x=96

divide both sides by 12 and x = 8

This is a fun, but simple unit rate problem! We are solving for x.

Divide 12 by 6 (cost is usually always first when dividing for unit rate). You’ll get 2.

That means, for every one magazine, it’s 2 dollars.

Now, divide 2 by 16.
Your answer should be 8!

You can purchase 8 magazines for $16 dollars!


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