Which of the following equations could represent the points in the table? Select all that apply.

Which Of The Following Equations Could Represent The Points In The Table? Select All That Apply.

Answers

Answer 1

Answer:

Options (A) and (C)

Step-by-step explanation:

From table attached,

Let the equation of a linear equation that represents the input-output values in the table is,

y - y' = m(x - x')

Where (x', y') is a point lying on the graph.

And m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line passing through (0, 11) and (1, 5) will be,

m = [tex]\frac{11-5}{0-1}[/tex]

m = -6

Therefore, equation of the line passing through (0, 11) and slope = -6 will be,

y - 11 = -6(x - 0)

Equation of a line passing through (1, 5) and slope = -6 will be,

y - 5 = -6(x - 1)

Equation of a line passing through (2, -1) and slope = -6 will be,

y + 1 = -6(x - 2)

Equation of a line passing through (3, -7) and slope = -6 will be,

y + 7 = -6(x - 3)

Therefore, Options (A) and (C) are the correct options.


Related Questions

What are rational numbers

Answers

Answer:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers

Answer:

C. it cannot be a whole number

Step-by-step explanation:

(+16) + (-32) =

A -12

B 14

C -16

Answers

Answer:

-16

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

16+(-32)= -16

How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.

ANSWER PLS
thank you so much!

Answers

beep and peeb and bee and pee

Answer:

6

Step-by-step explanation:

the one E doesn't count so 3! is 3*2*1 which is 6

PLZ MARK ME BRAINLIEST

Select the expression that is equivalent to 4x2 – 25.
Help

Answers

Answer:

Factor form: (2x-5)(2x+5)

If you olny simplify: 8x-25

Step-by-step explanation:

The answer is simple it goes into the negatives so 4x2 is 8 and -25 goes into the negatives so the answer would be -17

Find the standard form for the equation of the line which
passes through the point (9,-46) and which has a
y-intercept of – 1.

Answers

Answer: Well I believe the answer is Y= x - 55

Step-by-step explanation:Hope that works :)

There are six roses in the vase. Alyssa cut some more roses from her flower garden. There are now 16 roses in a vase. How many roses did she cut?

Answers

Answer:

10

Step-by-step explanation:

because 6+10=16. I feel so bad for all of the flowers.

f (x) = 8x^4 – 64

Factor completely

Answers

Answer:

8(x^4 - 8)

Step-by-step explanation:

Factor out an 8, since both 8 and 64 are divisible by 8:

f(x) = 8x^4 - 64

f(x) = 8(x^4 - 8)

So, the equation factored completely is 8(x^4 - 8)

Answer:

[tex]\huge\boxed{f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+2\sqrt2)}[/tex]

[tex]\huge\boxed{f(x)=8(x-2)(x^2+2x+4)}[/tex]

Step-by-step explanation:

[tex]f(x)=8x^4-64\qquad|\text{distribute}\\\\f(x)=8(x^4-8)=8\bigg[(x^2)^2-\left(\sqrt8\right)^2\bigg]\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x^2-\sqrt8)(x^2+\sqrt8)=8\bigg[x^2-\left(\sqrt[4]8\right)^2\bigg](x^2+\sqrt8)\\\\|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+\sqrt8)\\\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

taking into account the correction from the comment

[tex]f(x)=8x^3-64=8(x^3-8)=8(x^3-2^3)\\\\\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\f(x)=8(x-2)(x^2+(x)(2)+2^2)=8(x-2)(x^2+2x+4)[/tex]

Jared earned $55 from cleaning pools. He deposits the $55 into his checking account.
Select each of the statements that would result in an overall change of $0 to his checking account if they are paired with the above
deposit.
Jared deposits $55 earned from babysitting
his brother into his checking account
Jared transfers $55 to his checking
account from his savings account.
Jared spends $55 from his checking account
to purchase a college Algebra textbook
Jared withdraws $55 from his checking account
Jared withdraws $55 from his savings account
Jared transfers $55 to his savings
account from his checking account
Reset
Submit

Answers

Answer:

Jared transfers $55 to his checking account from his savings account.

Jared spends $55 from his checking account to purchase a college Algebra textbook

Jared withdraws $55 from his checking account

Hope this helps!

help meeeeeeeeeeeeeeee​

Answers

Answer:

A

Step-by-step explanation:

Answer: A










Explanation:

The graph of h is a translation 6 units down and 2 units left of the graph of f(x)=x2−7x. For each value of x, g(x) is 115% of h(x). Write a rule for g

Answers

I’m just doing this for some points to ask questions but hey

Answer:

HELPPPPPP

Step-by-step explanation:

HELPPPPPPP

Questions 1-5. Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals, how much will be in the account:

After 15 years?

(round to the hundredths place

Answers

Answer:

608.33

Step-by-step explanation:

5,000,000
2.5 x 103
What is this in scientific notation and standard form

Answers

Solution:

1. 5 x 10^6
2. 2500

can someone help please

Answers

Answer:

Tissue

Step-by-step explanation:

Forgive me if I'm wrong but I'm 90 percent sure I'm not.

Happy almost Halloween!!

the answer is a tissue

José and Maris work for different car dealerships. José earns a monthly salary of $3,500 plus a 8% commission on sales. Maris earns a monthly salary of $3,900 plus a 6% commission on sales. Above what value of sales are José's monthly earnings more than those of Maris?

Answers

Answer: When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

Step-by-step explanation:

Let  x= Total sales

For José, monthly salary = $3,500

Commission percentage =  8% =0.08

Monthly earnings= Monthly salary + (Commission percentage) x (Total sales)

Monthly earnings= 3500 +0.08 x

For Maris, monthly salary = $3,900

Commission percentage =  6%

Monthly earnings= 3900 +0.06 x

When José's monthly earnings > Maris's monthly earnings

then, 3500 +0.08 x > 3900 +0.06 x

Subtract 3500 from both sides, we get

0.08 x > 400+0.06x

Subtract 0.06x from both sides, we get

0.02x>400

Divide both sides b 0.02

x> 20000

When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

PLEASE HELPPP I DONT UNDERSTAND

Answers

Step-by-step explanation:

You need to do the distributive property to answer this question.

Everything in the outside of the parenthesis needs to be multiplied by each number inside the parenthesis.

Hope this helps you!

Answer:

(3 ^2  x 2x^ 4 y^2  )

Step-by-step explanation:

Please HELP!!! I will give 23 points!! Answer the following questions. Please answer correctly!!! Thanks!

Answers

1. c

2. c

3. a

4. a

5. d

Which property is illustrated by the following statement

Answers

Answer:

Communitive

Step-by-step explanation:

It is just saying that they are congruent and they just restated in different ways. It is like 4+3=7 and 3+4=7

Hope this helps

PLEASEEE HELP TOMORROW IS THE LAST DAY TO THEN STUFF IN AND ITS REPORT CARDS

Answers

This is ezz homework pay attention in class

I think this is correct

a printer can print 12 pages in 9 seconds what is the closest estimate of the number of pages it can print in 1 min

Answers

Answer:

estimated number of pages it can print will 80 in 1 min.

Step-by-step explanation:

If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.

we get

12/9 then multiply by 60 you will get 80 pages in 1 minute.

Number of pages a printer can print in 9 seconds = 12 pages

Number of pages than can be printed in 1 second =

= 12/9

= 1.3 pages

Number of pages that can be printed in 1 second = 0.75 page

Number of pages that can be printed in 1 minute =

= 1 minute = 60 seconds

Number of pages that can be printed in 60 seconds =

= 1.3 × 60

= 78 pages

Rounding off 78 , we get 80 .

Therefore , 80 pages can be printed in 1 minute .

please help ;(
john is j years old. the product of his younger brother’s and older sister’s ages is j^2-2j-15. how old are john’s brother and sister is terms of john’s age?

Answers

Answer:

[tex](j-5)(j+3)[/tex]

Step-by-step explanation:

[tex]j^2-2j-15=(j-5)(j+3)[/tex]

The age of John’s brother is j-5 and the age of John’s sister is j+3.

Given that, John is j years old. The product of his younger brother's and older sister's age is j²-2j-15.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The solution for j²-2j-15 is as follows

j²-2j-15

⇒ j²-5j+3j-15

⇒ j(j-5)+3(j-5)

⇒ (j-5)(j+3)

Therefore, the age of John’s brother is j-5 and the age of John’s sister is j+3.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ5

A local clothing store sells t-shirts for $8 each, sweaters for $12 each, jeans for $15 each. Let x represent the number of t-shirts sold, y represents the number of sweaters sold, and z represent the number of jeans sold. Write an expression to represent the total amount of sales from t-shirts, sweaters, and jeans

Answers

Answer:

8x + 12y + 15z

Step-by-step explanation:

Given the sales rate of three items: 8$ for t-shirts, 12$ for sweaters, and 15$ for jeans. It also states that these rates are represented by the corresponding variables being x for t-shirts, y for sweaters, and z for jeans.

To complete the expression, just combine the rate with the corresponding variables. i.e 8$ for t-shirts, and x for shirts = 8x, 12$ for sweaters and y for sweaters = 12y, 15$ for jeans, and z for jeans = 15z. Finally, sum them together.

8x + 12y + 15z

The product of two
consecutive whole numbers is
132. What are the two
consecutive whole numbers?

Answers

Answer:

11 and 12

Step-by-step explanation:

x(x+1)=132

x^2+x=132

x^2+x-132=0

(x-11)(x+12)=0

x = 11 or x = -12

when x=11 ,

x+1=12

11*12=132

An athlete us jumping. However, everytime she jumps she gets a bit more tired, and every jump goes 1/2 as far as her prior jump. Now, for her very first jump, she goes 1/2 of a foot. On her second jump, she goes 1/4 of a foot, and so on and so forth. How many jumps does it take to get to travel 1 foot

Answers

Answer:

She can never travel a distance of 1 foot for the given condition.

Step-by-step explanation:

In every jump, she goes 1/2 as far as her prior jump.

In the 1st jump, she covered a distance, d_1= \frac 1 2 foot.

The distance covered in the 2nd jump

[tex]d_2= \frac 12 \times d_1 = = \frac 12 \times \frac 12= \frac 1 4[/tex] (given)

So, the distanve covered in the 3rd jump

[tex]=\frac 12 \times d_2= \left(\frac 1 2\right )^2\times \frac 1 2= \left(\frac 1 2\right)^{3-1}\times \frac 1 2.[/tex]

Similarly, the distance covered in the [tex]r^{th}[/tex] jump

[tex]=\left(\frac 12 \right)^{r-1}\times \frac 1 2.[/tex]

Assuming she requires [tex]n[/tex] jumps to travel 1 foot of distance.

So, the sum of all the distances covered in n jumps = 1 foot

[tex]\Rightarrow \frac 1 2 + \frac 1 4 + \cdots + \left(\frac 12 \right)^{r-1}\times \frac 1 2+\cdots+ \left(\frac 12 \right)^{n-1}\times \frac 1 2=1[/tex]

[tex]\Rightarrow \frac 1 2 + \left(\frac 12 \right)^2 + \cdots + \left(\frac 12 \right)^{r}+\cdots+ \left(\frac 12 \right)^{n}=1[/tex]

This a geometric progression, G.P., of [tex]n[/tex] terms having common ration, r= 1/2 and the first term [tex]a_1= 1/2[/tex].

As sum of all the n terms of  G.P [tex]=\frac {a_1(r^n-1)}{r-1}[/tex],

[tex]\Rightarrow \frac {1/2((1/2)^n-1)}{1/2-1}=1[/tex]

[tex]\Rightarrow - \left(\left(\frac 1 2\right)^n-1\right)=1[/tex]

[tex]\Rightarrow \left(\frac 1 2\right)^n-1=-1[/tex]

[tex]\Rightarrow \left(\frac 1 2\right)^n=-1+1=0[/tex]

[tex]\Rightarrow \frac {1}{2^n}=0[/tex]

This is only possible, mathematically, when [tex]n\rightarrow \infty[/tex], But in real life situation reaching infinity is not possible.

Hence, she can never travel a distance of 1 foot for the given condition.

Question 14
1 pts
Which of the following equations represents a line perpendicular to y=1/4x-1?
y = -3/2x+6
y = 3/2x-2
y = -2/3x+7
y = 2/3x-3

Answers

Answer:

its the first option, y = -3/2x+6

Step-by-step explanation:

Write the product as a power.
10 X 10 X 10 =

Answers

Answer:

10^3

Step-by-step explanation:

Answer:

10^3

Step-by-step explanation:

count how many 10s are there and that is the answer

(there are 3 tens so put the power as 3)

To check 10 X 10 X 10 is 1000

10^3 is 1000

Kacey rode her bicycle 227 miles in 7 hours. How many miles did kacey travel per hour?

Answers

Answer:

39

Step-by-step explanation:

Answer:

32.4825

hope this helped :)

The price of a stove is s dollars. Pedro makes a 10% down payment for a two-year installment purchase. The monthly payment is m dollars. Express the finance charge algebraically.​

Answers

Answer:

0.2

Step-by-step explanation:

Find the value of the expression below.
15 + 5 × 3
-------------- (fraction)
3² + 6

5
4
2

Answers

Answer:

2

Step-by-step explanation:

15 + 5 × 3

________

  3² + 6

For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:

(15+15)/(9+6)

Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:

30/15

Finally, we divide 30/15 to get 2 as our answer

2

2. Given g(x) = x +5, find the following.
a. g(4)
b.g(-10)
c. g(0)

Answers

9514 1404 393

Answer:

  a)  9

  b)  -5

  c)  5

Step-by-step explanation:

Put the value of the argument where x is and do the arithmetic.

a)  g(4) = 4+5 = 9

b)  g(-10) = -10 +5 = -5

c)  g(0) = 0 +5 = 5

A preschool class has 14 girls and 10 boys. What is the ratio of boys to
the WHOLE class?

Answers

Answer:

10/24 or 5/12

Step-by-step explanation:

If you add both boys and girls you will get 24 which is the total students and the number of boys us 10 so it would be 10/24 or simplified would be 5/12.

:) Hope this helps

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