What is the equation of the line of best fit for the following data? Round the
slope and yintercept of the line to three decimal places.

Need help ASAP!!

Answer:

B. Multiply both sides of the top equation by 3

Step-by-step explanation:

Given:

4x+2y = 4

12x+y = 22

For the equations to have equal x-coefficients, you'll multiply both sides of (1) by 3

4x+2y = 4 (1)

12x+y = 22 (2)

B. Multiply both sides of the top equation by 3

3(4x+2y=4)

We have,

12x+6y=12 (3)

12x+y=22 (2)

Subtract (2) from (3)

5y=12-22

5y=-10

y= -10/5

y=-2

Substitute y=-2 into (1)

4x+2y = 4

4x+2(-2)=4

4x-4=4

4x=4+4

4x=8

x=8/4

x=2

Therefore, y= -2 and x=2

Answer:

its B

Step-by-step explanation:

A pex:)

Answer:

1.ED5 LOL

Step-by-step explanation:

Answer:

           [tex]\bold{P(A) =\dfrac{11}{20}}[/tex]

Step-by-step explanation:

A - an occurrence that Steve encounters the green light

number of all counted ligths:    |Ω| = 20

number of counted green ligths:  |A| = 11

Probability that Steve encounters a green light on any given day:

[tex]P(A) = \dfrac{|A|}{|\Omega|}=\dfrac{11}{20}[/tex]

It's (8,-2), (5,-1), (2,0), (-1,1), (-4,2).  Just took it and suffered the fate of the wrong answer.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

25p = (25)(p)

50q = (25)(2q)

therefore

25p + 50q = (25)(p) + (25)(2q) = (25)(p + 2q)

Answer:

p + 2q = 1

Step-by-step explanation:

25(p + 2q) = 25

p + 2q = 1

Answer:

-95

Step-by-step explanation:

Answer:

(2, 34 )

Step-by-step explanation:

Since the points vary inversely then half the x, means double the y, thus

(2, 34) or (1, 68 ) would also belong in this inverse variation

The difference between the graph of the function is

The graph of f(x) is stretched horizontally.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have two function,

f(x) = 5 cos ( 1/2 x ) - 2

g(x) = 5 cos (x) -2

The graph represented by red line is function f(x) and the graph represented by blue line is g(x).

As, seen from the f(x) is stretched by 2 units then g(x).

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Answer:

3

Step-by-step explanation:

In Set A, the minimum is 4 and the maximum is 7 without X which would make the range 7 - 4 = 3 but we want the range to be 4, therefore X has to be 4 + 4 = 8. Unfortunately, this would then make the range of Set B 8 - 1 = 7 so X has to be the smallest number in Set A which would be 7 - 4 = 3.

Answer:

Step-by-step explanation:

Tom wanted to find the inverse of f(x)= 4x - 2 using the steps in the attached image.

Tom's first mistake was in Step 3.

To correct the mistake, he should not switch the variables.

The correct procedure is:

Step 1 : Given

f(x) = 4x - 2

Step 2 : Change f(x) to y

y = 4x - 2

Step 3 : Add 2 to both sides

[tex]4x=y+ 2[/tex]

Step 4:  Divide each side by 4

[tex]x=\dfrac{y+2}{4}[/tex]

Step 5: Change x to [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)=\dfrac{y+2}{4}[/tex]

Answer:

$96.00

Step-by-step explanation:

Perimeter formula, 2w+2l

2(23)+2(25)=96 feet

1$ per foot

96 feet,

so $96

Answer:

I think it 96.00

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

The line is at 3, and no number is within reach except 3. So the answer is A and C.

[tex]\sqrt{3}x^2+10x+7\sqrt{3}=0\\\\\sqrt3(x^2+\dfrac{10x}{\sqrt{3}}+7)=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+7=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+\dfrac{25}{3}-\dfrac{25}{3} +7=0\\\\(x+\dfrac{5}{\sqrt{3}})^2 = \dfrac{4}{3}\\\\|x+\dfrac{5}{\sqrt{3}}| = \dfrac{2}{\sqrt{3}}\\\\x_1 = \dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = -\dfrac{3}{\sqrt{3}} = -\sqrt{3}\\\\x_2 = -\dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = \dfrac{-7}{\sqrt{3}} = -\dfrac{-7\sqrt{3}}{3}[/tex]

Answer:

625.

Step-by-step explanation:

(5+5×5÷5-5)⁵/5

=[ ( 5 + 25 / 5 - 5)^5] /  5

= [(5 + 5 - 5)^5] /  5

= [ (10 - 5)^5] /  5

= 5^5 / 5

= 5^4

= 625.

Answer:

625

Step-by-step explanation:

The rule is to do Parentheses/Brackets, then Exponents/Orders, followed by doing Multiplication and Division from left to right, and finally Addition and Subtraction from left to right. The answer is 625

Answer:

A

Step-by-step explanation:

We know that (15, 11) (which means x = 15, y = 11) is a solution to Line Q so therefore:

11 = 4/3 * 15 + (k + 1)

11 = 21 + k

k = -10

Answer:

-10 = k

Step-by-step explanation:

y = 4/3x + ( k+1)

We know a point on the line is ( 15,11)

Substitute this point into the equation

11 = 4/3(15) + (k+1)

11 = 20 + k+1

Combine terms

11 = 21+k

Subtract 21 from each side

11-21 = k

-10 = k

Answer:

15√3

Step-by-step explanation:

This is a 30-60-90 triangle, so in order to solve for v, we can multiply the short leg by √3, which we will get 15√3.

Answer:

v = 25.98

Step-by-step explanation:

You could do this a number of ways. Some are much longer than others. The shortest way is to use the tangent.

Formula

Tan(theta) = opposite / adjacent

Givens

Theta = 30o

Opposite = 15 km

Adjacent = x

Solution

tan(30) = 15 / v                       Multiply both sides by v

v*tan(30) = 15                         Divide by tan(30)

v = 15/tan(30)

tan(30) = 0.5774

v = 15 / 0.5774

v = 25.98

Answer:

243 m³

Step-by-step explanation:

The volume of a rectangular pyramid is given by:

[tex]V = \frac13lwh[/tex]

Where

l = length = 9m

w = width = 9m

h = height = 9m

so the volume is 1/3*9*9*9 = 243 m³

Answer:

243

Step-by-step explanation:

The formula for the volume of a square-based pyramid is

[tex]V=\frac{lwh}{3}[/tex]

[tex]l[/tex] = length

[tex]w[/tex] = width

[tex]h[/tex] = height

[tex]V=\frac{9 \times 9 \times 9}{3}[/tex]

[tex]V=\frac{729}{3}[/tex]

[tex]V=243[/tex]

The area is 243 cubic meters.

Answer: 0.28157

Step-by-step explanation:

Given, The proportion of the community favored building a police substation in their neighborhood: p= 0.75

Number of citizens are chosen: n= 10

Let x be the binomial variable that represents the number of citizens favor the building of the police substation.

Then, the probability that exactly 8 of them favor the building of the police substation will be :

[tex]P(x=8)=\ ^{10}C_8(0.75)^8(1-0.75)^2[/tex]

 [Using binomial probability function [tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]]

[tex]=\dfrac{10!}{8!2!}(0.100113)(0.0625)\\\\=0.2815678125\approx0.28157[/tex]

Hence, the probability that exactly 8 of them favor the building of the police substation =0.28157

Answer: The Answer is C

Step-by-step explanation: I just took the quiz on ed and this is the correct answer.

Answer: C: the estimated amount of feed per day for the start of the farm

Step-by-step explanation: 100% on quiz

Answer:

255 pounds.

Step-by-step explanation:

We can set up a proportion.

1 pound / 1.18 euros = x pounds / 300.9 euros

1.18 * x = 1 * 300.9

1.18x = 300.9

x = 255

255 pounds.

Hope this helps!

Answer:

300.90 € = £ 255

Step-by-step explanation:

£ 1 = 1.18 €

So,

1 € = £ 1/1.18

=> 1 € = £ 0.847

Multiplying both sides by 300.90 for getting the exchange rate of 300.90 euros

=> 300.90 € = £ 0.847 * 300.90

=> 300.90 € = £ 255

Answers

B, D and E are proportional

A, C, and F are not proportional

y = 3+x .... not proportional

y = 1.6x .... proportional

y = 3/(4x) .... not proportional

y = x .... proportional

y = 12x .... proportional

y = 2x+1 ... not proportional

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

Explanations:

Anything in the form y = k*x is a direct proportional equation. As x goes up, so does y. The same happens if x decreases, and we'll have y also decrease. They go up together or down together. This is where the "direct" comes from. Specifically they change the same amount each time (hence the term "proportional").

For something like y = 1.6x, we have k = 1.6

In the equation y = x, we have y = 1x in reality so k = 1 here.

Lastly, y = 12x has k = 12.

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

The other equations are not in the form y = kx. Whenever we have y = mx+b, with b nonzero, then y = mx+b is not proportional. The value of b must be 0 for it to fit y = kx form. This rules out y = 2x+1 and y = 3+x or y = x+3.

The equation y = 3/(4x) is an inversely proportional equation in the form y = k/x. It cannot be written as y = kx. Note how x is in the denominator for y = 3/(4x) while the same can't be said for y = kx. Inversely proportional equations have x increase and y decrease, or vice versa. They go in opposite directions.

Answer:

No congruency statement can be made because the side lengths are unknown.

Step-by-step explanation:

We are given the measure of two angles in ∆XYZ, as 90 and 30 respectively. The 3rd angle can be known without being given. Since sum of angles in a triangle is 180°, the 3rd angle would be 180 - (90+30) = 60°.

Same applies to ∆TUV.

We only know the 3 angles of each triangle, but we are not given any of the side lengths. Therefore, we cannot make any congruency statement since the side lengths are unknown.

Answer:

$43.24

Step-by-step explanation:

First, find the amount of $ she deposited and spent separately.

She deposited 22 in her first week and then 38.5 on the next week. This is a total of $60.50.

The first week, she spent 7.27, then next week, 9.99. This means she spent a total of $17.26.

Second, subtract the total $ she spent from the amount she deposited.

$60.50 - $17.26 = $43.24

Answer:

she has $43.24 left in her bank account .

Answer:

If I'm correct she bought 5 pounds of coffee.

Step-by-step explanation:

$70 (gift card)

-$26.80 (remainder on g.c.)

= $43.20 ($ spent on money)

$43.20/ $8.64 = 5

(remainder)/ cost per lb. = lbs of coffee bought

Answer: She bought 5 pounds of coffee

Step-by-step explanation:

This situation can be represent by the equation

70 - 8.64 x = 26.80  where x is the number of coffee she bought.   solve for x

-70                   -70

-8.64x = -43.20

x = 5

Answer:

To find ? we use sine

sin ∅ = opposite / hypotenuse

From the question

The hypotenuse is 50

The opposite is 25

So we have

sin ? = 25 / 50

sin ? = 1/2

? = sin-¹ 1/2

To find ? we use tan

tan ∅ = opposite / adjacent

From the question

the opposite is 8

the adjacent is 33

So we have

tan ? = 8/33

? = tan-¹ 8/33

? = 13.62

Hope this helps you

Answer:

x^4-5x^2y^2+ 4y^4 = (x^2-4y^2)(x^2-y^2)

Step-by-step explanation:

Here in this question, we are to resolve the given expression into factors

x^4-5x^2y^2+ 4y^4

That can be rewritten as;

x^4-x^2y^2-4x^2y^2+4y^4

= x^2(x^2-y^2)-4y^2(x^2-y^2)

= (x^2-4y^2)(x^2-y^2)

Answer:

4.625 gallons

Step-by-step explanation:

1. 11 pints plus 13 quarts is 18.5 quarts

2. 18.5 quarts is equal to 4.625 gallons

The number of gallons of ice cream he sold was equal to 4.625 gallons.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Therefore suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

We need to find the number of gallons of ice cream he sold.

A dealer sold 13 quarts containers and 11 pint containers of ice cream in one day.

1. 11 pints plus 13 quarts is 18.5 quarts.

2. 18.5 quarts is equal to 4.625 gallons.

Hence, The number of gallons of ice cream he sold was equal to 4.625 gallons.

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Answer:

y =2x

Step-by-step explanation:

Slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = 2x+0

y = 2x

Answer:

Step-by-step explanation:

e