Which equations pass through the points (1, 3) and (7 9)?

Which Equations Pass Through The Points (1, 3) And (7 9)?

Answers

Answer 1

Answer:

f(x)=x+2 Passes through

x-y=2 DOES NOT pass through

Step-by-step explanation:

Method- plug in x and see if the y matches the points. (1,3) (7,9)

f(x)=x+2

f(1)=1+2=3

f(7)=7+2=9

Matches!

x-y=2

1-y=2 --> y=-1

Does not match


Related Questions

P(x) = x³- 2x² + 5x.
factor p completely

Answers

Answer:

P(x) = x (x²- 2x + 5)

Step-by-step explanation:

First factor x out:

P(x) = x (x²- 2x + 5)

Then, try to simplify (x²- 2x + 5):

However, there is no way to further simplify.

So, the answer should be x (x²- 2x + 5).

The lateral surface area of cone A is equal to the lateral surface area of
cylinder B.
A
2h
A. True
B. False

Answers

The lateral surface area of cone A is equal to the lateral surface area of

cylinder B. This is true.

How to illustrate the information?

Lateral area of cone is given by: πrl

where r is the radius and l is the slant height

Here r=r and l=2h

Hence, lateral area of cone A= π×r×2h =  2πrh

Lateral area of cylinder is given by: 2πrh

where r is the radius and h is the height

Lateral area of cylinder B=2πrh

Clearly, both the lateral areas are equal. Therefore, it's true.

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Factor 24cd − 36c^2d.

Answers

Answer:

12cd(2-3c)

Step-by-step explanation:

check:

12cd( 2 - 3c)

12cd(2) - 12cd(3c)

24cd - 36[tex]c^{2}[/tex]d

A car's velocity is modeled by v(t) = 0.5t^2 -14t+ 80 for 0 less than or equal to t less than or equal 14, where the velocity is in feet per second and time is in seconds. Where does the car come to a complete stop?

Answers

Answer:

8 seconds

Step-by-step explanation:

See attach worksheet.

6. The quadratic functions f(x) =-x+2x+6 and g(x)= x’ +2x are shown graphed below. The positivesolution to f(x)=g(x) is closest to which of the following?Y(1) x=6.5(3) x=1.7(2) x = 3.7(4) x=0.5

Answers

Notice that the intersection between both functions on the positive values of x is near the line x=2. From the provided options, the closest to that value is 1.7

Then, the positive solution to f(x)=g(x) is closest to:

[tex]x=1.7[/tex]

Ms. Fern is stocking up on school supplies
for the start of the school year. She finds a
four pack of colored pencils on sale for
$4.50 proportional or non proportional?

Answers

Answer:

proportional!!!!!!

Step-by-step explanation:

Find the volume of this object.Use 3 for π.Volume of a CylinderV= πr²h4 ft9 ft5 ft5 ft5 ftVolume of aRectangular PrismV = whV ≈ [?]ft³Enter

Answers

Mathematics → Solid Figures → Volume

The volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

In this question,

r = 2 ft (4/2 =2)

h = 5 ft

Then, the volume of the cylinder is (Vc):

[tex]\begin{gathered} Vc=\pi *2^2*5 \\ Vc=\pi *4*5 \\ Vc=20\pi \end{gathered}[/tex]

Using π = 3:

[tex]\begin{gathered} Vc=3*20 \\ Vc=60ft^3 \end{gathered}[/tex]

The volume of a rectangular prism (Vr) is:

[tex]Vr=lwh[/tex]

In this question:

l = 9 ft

w = 5 ft

h = 5 ft

Then, the volume of the rectangular prism is:

[tex]\begin{gathered} V=9*5*5 \\ V=225ft^3 \end{gathered}[/tex]

The volume of the object (V) is the sum of the volumes:

[tex]\begin{gathered} V=Vc+Vr \\ V=60+225 \\ V=285ft^3 \end{gathered}[/tex]

Answer: 285 ft³.

3^8 x 3^4 divide 3^2 x 3^8

Answers

⇒I will be using the laws of exponents. As indicated below :

[tex]x^{n} *x^{m} \\=x^{n+m}[/tex]

This just simply means that if you are multiplying powers of the same base you keep one base as a result and add the exponents.

⇒ The other law of exponents is indicated below:

[tex]x^{n} /x^{m} \\=x^{n-m}[/tex]

This means that if you are dividing powers of the same base you keep one base and subtract the exponents.

N.B : BODMAS RULES ALSO APPLY

[tex]\frac{(3^{8} *3^{4} )}{(3^{2}*3^{8} ) } \\=\frac{3^{8+4} }{3^{2+8} } \\=\frac{3^{12} }{3^{10} } \\=3^{12-10} \\=3^{2} \\=9[/tex]

Attached is your solution. Goodluck!!

For a set of five numbers,
the mode is 8
the median is 12
Work out one possible set of five numbers.

Answers

Step-by-step explanation:

mode = the number appearing the most often in the list of data.

median = the middle number. half of the other numbers are smaller, and the other half is larger.

so, we know one number already : 12 in the middle.

that gives us

_ _ 12 _ _

a good mode is when it has a real majority (e.g. every other number appears only once, but the mode number appears twice).

so, 8 should appear twice.

as 8 is smaller than 12, it can only be on the left side of 12.

that gives us

8 8 12 _ _

note we need 2 numbers larger than 12, but each appearing only once.

so, e.g.

8 8 12 13 14

im not sure ols help

Answers

Answer: √141

Step-by-step explanation:

a^2=c^2-b^2

The hypotenuse is larger in this question so we subtract them.

25^2-22^2=625-484=141

√141

Answer:

x = √141  

or

x = 11.87

Step-by-step explanation:

is a right triangle, we solve it with the Pythagorean theorem ("In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".)

x² = 25² - 22²

x² = 625 - 484

x² = 141

x = √141  

or

x = 11.87

PLEASE HELP!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

2nd one

What is the area of the triangle?

Answers

26x30/2=390 so the area would be 390
86

P=a+b+c=30+26+30=86

1) Define the variable you are using
2) Set up an equation to solve
3) Show all steps of solving the equation
5) Explain what your answer means in terms of the problem.

The number of cupcakes Chad can eat is 2 times the amount his sister can eat. On Chad’s
birthday Chad and his sister ate a total of 12 cupcakes? How many did Chad eat?

Answers

The number of cupcakes that Chad are is 8 cupcakes.

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of cupcakes that Chad can buy be x.

The number of cupcakes Chad can eat is 2 times the amount his sister can eat. This will be 2x.

Therefore, the appropriate equation will be:

2x + x = 12

3x = 12

Divide

x = 12/3

x = 4

Chad = 2x = 2 × 4 = 8 cupcakes

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Please help me with this

Answers

Answer:

1 and 3 makes linear pair

1 and 4 vertically opposite angle

1 and 5 are corresponding angle

1 and 8 alternate exterior angle

How much of a radioactive kind of nitrogen will be left after 30 minutes if you start with 1,920 grams and the half-life is 10 minutes?

Answers

the answer is 1.92!!

1,920/10= 192
192/10= 19.2
19.2/10= 1.92

10+10+10= 30

+) The expression 5p represents the total price of buying 5 movie tickets. ) What do the parts of the expression 5p represent? • The variable p represents the ? The number 5 represents the ?

Answers

Since the expression 5p represents the total price of buying 5 movie tickets, divide the expression 5p by 5 to find the price of a single ticket:

[tex]\frac{5p}{5}=p[/tex]

Then, the price of a ticket is p.

Therefore, the variable p represents the ticket price, while the number 5 represents the number of tickets.

Any tricks for finding the nth term?​

Answers

Step-by-step explanation:

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

Arithmetic progression is S = 1/2n[2a+(n-1)d]

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

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Geometric progression is Uₙ = arⁿ ⁻ ¹

4. Find all values of x that make the statement true.

Answers

By solving  ( 3 / x - 4) = (x - 5) / x equation we get ,

x = 10 and x = 2 .

Solution:

Given ( 3 / x - 4) = (x - 5) / x,

3x = (x - 5) (x - 4)

By solving this equation,

3x = x( x - 5 ) - 4( x- 5)

3x = x² - 5x - 4( x - 5)

3x = x² - 5x  - 4x + 20

3x = x² - 9x + 20 = 0

3x - x² + 9x -20 = 0

12x - x² - 20 = 0

-x² + 12x -20 = 0

-1(x(x - 2 ) - 10( x - 2 )) = 0

-1( x - 10) ( x - 2) = 0

x - 10 = 0

x - 2 = 0

 x = 10

    x = 2

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(10-x)+(12-x) HELPPPPPPPPPPPPPPPPPP

Answers

Answer:

x=-11

Step-by-step explanation:

Steps are in the attachment, but I couldn't include the last step.

The last step is to divide by -2 on both sides.

The final answer then will be x=-11

How many times larger is (1.76 x 10^1) than (8 x 10^-1)

Answers

Answer:

14.7 times bigger is (1.176 x 10¹) than (8 × 10-¹) if the numbers are  (1.176 x 10¹) than (8 × 10-¹).

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

To compare numbers this way, we divide.

(1.76 × 10^1) / (8 × 10^-1) =

= 1.76/8 × 10^1 / 10^-1

= 0.22 × 10^(1 - (-1))

= 0.22 × 10^2

= 22

Which equation has the solution x = 5? Select each correct answer. Responses
A) 11 + 6x = 22
B) 3x + 1 = 9
C) 18−2x=9
D) 25/x+4=9
E) x/5 + 5 = 6
F) 32−4x=12

Answers

The equation that has the same solution as x = 5 are as follows:

25 / x + 4 = 9x / 5 +  5 = 6 32 - 4x = 12

How to solve equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

In other words, an equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The equation can be solved as follows:

The equation will have the same solution as x = 5.

Therefore,

25 / x + 4 = 9

subtract 4 from both sides of the equation

25 / x + 4 = 9

25 / x + 4 - 4 = 9 - 4

25 / x  = 5

cross multiply

5x = 25

divide both sides by 5

x = 25 / 5

x = 5

x / 5 +  5 = 6

x / 5 = 6 - 5

x / 5 = 1

cross multiply

x = 5

32 - 4x = 12

- 4x = 12 - 32

- 4x = - 20

divide both sides of the equations by - 4

x = -20 / - 4

x = 5

Therefore, the equation with same solution are 25 / x + 4 = 9, x / 5 +  5 = 6 and  32 - 4x = 12

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In 2022, a company made a profit of $1.38 million. That amount is $2.54 million more than the profit from 2021.
What is the profit from 2021? Write & solve an Algebraic Equation.

Answers

Answer: 6x+2xz*52-35^5=

Step-by-step explanation: rs:p=4436x

Answer: The profit from 2021 = $ -1.16 Million ($1.16 Million loss)

Step-by-step explanation:

Profit for 2022 = $ 1.38 Million

Profit for 2021 = Profit for 2022 - $ 2.54 Million

Algebraic equation:

p2021 = p2022 -$ 2.54 Million

p2021 = $ 1.38 Million - $ 2.54 Million

p2021 = $ -1.16 Million

2. Write y=8x+2 in function notation.

Answers

Answer:

f(x) = 8x + 2

Step-by-step explanation:

Given

Equation y = 8x + 2

What is a function notation?

It is a representation of the functional relation with dependent and independent variables, normally, x- independent and f(x) - dependent variable.

We can write the given function as:

f(x) = 8x + 2

I also need help with this question

Answers

Answer: (-3, 3)

Step-by-step explanation:

     See the attached image for my work. First, you need to know the quadrants. In order from the top right counter-clockwise, it goes I (1), II (2), III (3), and IV (4).

     Next, we will count up five units since Quadrant II is above the point, in Quadrant III.

1. The public primary/secondary school dropout rate in Washington State is 6%. Suppose 35
individuals of primary/secondary school age are interviewed at random on a city street. What is
the probability that:
a. (5 points) Exactly 7 of them are dropouts?

Answers

The probability that exactly 7 individuals are dropouts out of 35 is 0.0033288.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Given,

Probability of dropouts=p= 6%= 0.06

Probability of not dropouts=q=1-p=1-0.06=0.94

n=35

We use the probability mass function of binomial distribution, as there are only two possible outcomes for the given situation. If the individual is dropout or not a dropout.

P(X=x)= nCr x p^r x q^(n-r)

P(X=7)= 35C7x(0.06)^7x(0.94)^28

P(X=7)=6724520x(0.06)^7x(0.94)^28

P(X=7)=0.00332889

Therefore, the probability of exactly 7 of them are dropouts is 0.00332889.

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Use the graph to write a linear function that relates y to x.

Answers

Answer:

y=4/3x+2

Step-by-step explanation:

Which expression is equivalent and show work if you can pls help thanks if u do

Answers

The correct answer is the first one. If we take the expression and cancel out the similar numbers (2^3 on the top and 2^5 on the bottom, as well as 5^2 on the top and 5^4 on the bottom) we get 1/(2^2 x 3 x 5^2)

The expression is equal to 0.00333333333.

A = 0.00333333333

B = 0.00426666666

C = 0.03125

D = 33.3333333333

Therefore, the answer is A. Hope this helps! :)

Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set and P = {2, 4, 6, 8}. What is P' ?
{2, 4, 6, 8}
{1, 2, 3, 4, 5, 6, 7, 8}
{1, 3, 5, 7}
{1, 3, 5, 7, 8}

Answers

Answer:

{1, 3, 5, 7}

Step-by-step explanation:

U = {1, 2, 3, 4, 5, 6, 7, 8}

P = {2, 4, 6, 8}

P'= {1, 3, 5, 7}

(1,3,5,7) is correct answer

How many more votes did bill clinton get than george bush? about 44 million about 6 million about 25 million

Answers

Answer:

Step-by-step explanation:

B - 6 million

b. 6 Million

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46 x 2 in standard algorithm

Answers

Answer:

92

Step-by-step explanation:

  1

 46

x  2

 92

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