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Which equation represents a line that has a slope of 1/3 and passes through point (-2, 1)?


(A. y = 1/3x- 1

(B. y = 1/3x+ 5/3

(C. y = 1/3x- 5/3

(D. y = 1/3x+ 1

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Synonyms for the word 'input' in math:

Domain and Range

Synonyms for the word 'output' in math:

Range of the function

Explanation:-

The input is the number you feed into the expression

The output is what you get after the look-up work or calculations are finished.

Answer:

x<13

Step-by-step explanation:

To solve this, we want to have the isolate the variable x on the left side, by itself without a coefficient. All we have to do to do this is add 4 to both sides, cancelling out the -4 and getting x<13

Answer:

x = 13 + y

Step-by-step explanation:

Simplify:

-4 + x = y + 9

Reorder the terms:

-4 + x = 9 + y

Move all terms containing x to the left all other terms to the right

Add 4 to each side of the equation

-4 + 4 + x = 9 + 4 + y

Combine like terms: -4 + 4 = 0

0 + x = 9 + 4 + y

x = 9 + 4 + y

9 + 4 = 13x = 13 + y

Answer:

x = 13 + y

Answer:

I think the answer is C.

Step-by-step explanation:

Have a good day ;-).

Answer:

2S + 0.065(2S)

Step-by-step explanation:

Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S

a tax is a compulsory sum levied on goods and services. tax increases the price of a good

The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)

This gives = 2S + 0.065(2S)

Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S

We want to write two expressions that represent the total cost of the shirts, the expressions are:

Cost = P*(1.065) +  P*(1.065)

cost = P*2.13

We know that Benita buys two shirts for the same price, P.

Then at this moment. the total cost is just:

cost = 2*P

Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:

P' = P*(1 + 6.5%/100%) = P*(1.065)

Then the total cost is twice that amount, written as:

Cost = P*(1.065) +  P*(1.065)

This can be one of the two expressions.

Now to get the other expression, we just simplify the above one:

cost = 2*P*(1.065) = P*2.13

If you want to learn more, you can read:

https://brainly.com/question/20853486

Answer and Step-by-step explanation:

To calculate a confidence interval for a proportion:

1) Determine the proportion

[tex]p=\frac{308}{500}[/tex]

p = 0.616

2) A 90% confidence interval has z-score that is 1.645.

3) Calculate margin of error

[tex]ME=\sqrt{\frac{p(1-p)}{n} }[/tex]

where

n is the sample size

So

[tex]ME=\sqrt{\frac{0.616(1-0.616)}{500} }[/tex]

[tex]ME=\sqrt{\frac{0.616(0.384)}{500} }[/tex]

ME = 0.02175

Then the interval is given by

p ± z(ME)

0.62 ± 1.645(0.02175)

0.62 ± 0.035

The interval will be

0.585 < p < 0.655

What this means is that we are 90% confident that the true proportion of Katy Perry's Twitter female followers is between 0.585 and 0.655.

Answer:

FD is Congruent to DC

Step-by-step explanation:

Answer:

Yes, it is an identity

Step-by-step explanation:

Answer:

sorry

Step-by-step explanation:

Answer:

45 inches

Step-by-step explanation:

If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.

Answer:  D: 360°

An octagon is supposed to have a total of 360°, each side being equivalent to 45°. In conclusion, the exterior angle of this octagon is equivalent to 360°

Answer: x=5

Step-by-step explanation: u can just simplify it

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

[tex](x+1)^{2} +(y-2)^{2} =36[/tex]

the Center is: (-1,2)

and the radius is: [tex]\sqrt{36}[/tex] = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

[tex](x+1)^{2} +(y-2)^{2} =36[/tex]

[tex](x+1)^{2} +(2-2)^{2} =36[/tex]

[tex](x+1)^{2} +(0)^{2} =36[/tex]

[tex](x+1)^{2} =36[/tex]

[tex]x+1 =±\sqrt{36}[/tex]

[tex]x=6-1[/tex]    AND    [tex]x=-6-1[/tex]

[tex]x=5[/tex]          AND    [tex]x=-7[/tex]

second sub x= -1 in the equation to find the values for y:

[tex](x+1)^{2} +(y-2)^{2} =36[/tex]

[tex](-1+1)^{2} +(y-2)^{2} =36[/tex]

[tex](0)^{2} +(y-2)^{2} =36[/tex]

[tex](y-2)^{2} =36[/tex]

[tex]y-2=±\sqrt{36}[/tex]

[tex]y=6+2[/tex]    AND    [tex]y=-6+2[/tex]

[tex]y=8[/tex]          AND    [tex]y=-4[/tex]

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

Answer:

12 different four digit numbers

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

permutations! order required

P(4,4) = [tex]\frac{4!}{(4-4)!} = \frac{4!}{0!} = \frac{24}{1}[/tex]

Answer:

Abdullah is correct.

Step-by-step explanation:

The bottle contained originally 12 fl oz, so 12 fl oz is 100%.

The box now contains 20% more, so now it contains 120% of 12 fl oz.

120% * 12 fl oz = 1.2 * 12 fl oz = 14.4 fl oz

Also, 20% is 1/5. Abdullah divided 12 oz into 5 equal parts, and then he added one more 1/5. He interpreted the problem correctly. The amount in the new bottle is the amount of the old bottle plus 20% of that old amount.

Kanna considers the original amount to be 80%. When he adds another 20%, he is adding 1/4 of 12 which is too much. That is why he gets an incorrect answer that is to high. He interpreted the problem incorrectly. For him, the old bottle has 20% less than the new bottle. That is incorrect.

Abdullah is correct.

Answer:

27= [tex]3\sqrt{3}[/tex] (3 x 3 x 3)

45= [tex]3\sqrt{5}[/tex] (3 x 3 x 5)

54= [tex]3\sqrt{6}[/tex] (3 x 3 x 3 x 2)

Step-by-step explanation:

Answer:

We found the factors and prime factorization of 27 and 45. The biggest common factor number is the GCF number. So the greatest common factor 27 and 45 is 9.

Answer:

40

Step-by-step explanation:

-6 * -6 = 36

2 * 2 = 4

= 40

Supplementary angles are angles that when you add them, make 180 degrees, which is a straight line. They are not to be joined together but added. So if one measures 90 degrees more than another, well what's the answer? I hope this helps.

Answer:

Step-by-step explanation:

Admission for adults is 12 dollars. Admission for kids is eight dollars.One day 575 people entered the cave paying 5600 how many adults into the cave

Answer:

The yellow one

Step-by-step explanation:

Answer:

the yellow one

is the answer

Answer:

3)Quadratic

Step-by-step explanation:

Brainliest?

Answer:

15.6

0.13 times 120=15.6

Answer:

15.60

Step-by-step explanation:

You multiply 13% and 120.00 to get the answer I hoped that I helped you have a nice day or nigh!

Answer:

volume=lxbxh

=6*6*12

=432cm^2

Answer:

x = 3

y = 4

Step-by-step explanation:

2x +  y = 10          -----------------(I)

     y = x + 1 ---------------------(II)

Substitute y = x + 1 in equation (I)

2x + x + 1 = 10    {Combine like terms}

      3x + 1 = 10         {Subtract 1 from both sides}

             3x = 10 -1

             3x = 9 {Divide both sides by 3}

                x = 9/3

x = 3

Plugin x = 3 in equation (II)

y = 3 + 1

y = 4

Answer:

perimeter=2(l+b)=2(16+24)=80

rate =$2per inch

total cost=perimeter ×rate=80×2=$160is your answer

Answer:

use desmos

Step-by-step explanation:

put y=3x+4 and make a graph from that its really helpful trust me

Step-by-step explanationperdonbro solo quo ielos prutnos  j

:

Answer:

Step-by-step explanation:

[tex]5^{(x-2)}=125\\ \\ 5^{(x-2)}=5^3\\ \\ x-2=3\\ \\ x=5\\ \\ \text{So the exponent is 3}[/tex]

Answer:

Step-by-step explanation: