Show that the equation y + 2 = 2(2x + 1) is linear and that it represents a proportional relationship between x and y.

Answer:

This is not a linear function, as it isn't any function because 3 has two outputs.

Step-by-step explanation:

Explained above

Using the least common factor, it is found that she will do all the three activities again on the same day again in 48 days.

To find how many days it takes so that she will do all the three activities again on the same days, we have to find the least common factor of 4, 6 and 16.

It is done factoring them using prime factors, then:

4 - 6 - 16|2

2 - 3 - 8|2

1 - 3 - 4|2

1 - 3 - 2|2

1 - 3 - 1|3

1 - 1 - 1

Hence:

lcm(4,6,8) = 2x2x2x2x3 = 48

She will do all the three activities again on the same day again in 48 days.

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Using linear function concepts, it is found that the correct option is:

B. l, ll and lll only

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

If the slope is positive.

If the slope is negative:

In this problem, the equation is:

[tex]6x - 3y = - 9[/tex]

Placing it into the standard format:

[tex]3y = 6x + 9[/tex]

[tex]y = \frac{6}{3}x + \frac{9}{3}[/tex]

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

Both slope and intercept are positive, hence, quadrants I, II and III, option B.

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Answer:

Width=6 5/6cm and Length=13 2/3cm

Step-by-step explanation:

Lets have width=x

Therefore, 4x+2x=41cm

6x=41cm

x=41/6=6 5/6

the width is 6 5/6 cm and length 41/3=13 2/3

Answer:

the length of the rectangle is 13 ft.

Step-by-step explanation:

width of a rectangle x ft

length of a rectangle x+6 ft

the perimeter of the rectangle is 40 ft,

2(x+x+6) = 40

2x+6 = 20

2x = 14

x = 7

So the length of the rectangle is x+6 = 7+6 = 13 ft

congrats you're right (≧▽≦)!!

Answer:

The correct answer ia A)13 ft

Step-by-step explanation:

hope this helps

Step-by-step explanation:

[tex] \frac{x + 6}{ x} = \frac{5}{2} [/tex]

Then collect like terms

answer is x = 4

Answer:

x = 4

Step-by-step explanation:

x + 6/x = 5/2

2(x + 6) = 5(x)

2x + 12 = 5x

12 = 5x - 2x

12 = 3x

12/3 = x

4 = x

Hence,

Value of x is 4

Answer:

the first option

Step-by-step explanation:

Answer:

y=-2/5x-1

Step-by-step explanation:

2x+5y=-5

Step 1: Add-2x to both sides.

2x+5y=-5

+-2 +-2

5y=-2x-5

Step 2: Divide both sides by 5.

5y ÷ 5 = -2x-5÷5

y=-2/5x-1

Answer:

Step-by-step explanation:

The existing line appears to pass through (0, 20) and (10, 50)

so the line slope is m = Δy/Δx = (50 - 20) / (10 - 0) = 3

parallel lines have identical slopes

y = 3x + b

15 = 3(4) + b

b = 3

D.  y = 3x + 3

[tex]\\ \rm\Rrightarrow m=\dfrac{25-20}{2}=5/2[/tex]

Equation of line in point slope form

[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]

[tex]\\ \rm\Rrightarrow y-15=5/2(x-4)[/tex]

[tex]\\ \rm\Rrightarrow 2y-30=5x-20[/tex]

[tex]\\ \rm\Rrightarrow 5x-2y+10=0[/tex]

Answer:

3x²+3x-7

Step-by-step explanation:

(f+g)(x)=2x²+x²+3x-7

=3x²+3x-7

Answer:

tbh,I would calculate the girls to boys ratio.

Step-by-step explanation:

I mean, them boys gotta be in female heaven.

25% of them, the rest being girls, dang, imagine being handsome. lots of gf's

and FYI, it's iPhone not an i-phone.

Step-by-step explanation:

we use the law of sine :

sin(A)/a = sin(B)/b = sin(C)/c

with the related angles being opposite of the lines.

so, we have

sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =

= 0.316227766...

cos²(A) + sin²(A) = 1

cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =

= 0.948683298...

tan(A) = sin(A)/cos(A) = 0.333333333...

cot(A) = 1/tan(A) = 3

sec(A) = 1/cos(A) = 1.054092553...

csc(A) = 1/sin(A) = 3.16227766...

Step-by-step explanation:

3x-3 = x+5 add 3 on both sides

3x = x+8 subtract x in both sides

2x = 8 divide both sides by 2

x = 4

Answer:

D). 0.1x+99=149.30

How many songs Tyna Bought:

503 songs

Step-by-step explanation:

Since the membership fee is 99 you don't have to pay for it again

(Until next year that is)

Now it states that every download cost 10 cents or $0.1

So we don't know how many she will buy so we can replace that unknown value with x

So the equation is

0.1x+99=149.30

To solve this you first subtract 99 on both sides:

Which will result in

0.1x=50.3

Divide 0.1 on both sides

So Tyna bought 503 songs

(HOLY THAT IS A LOT OF SONGS)

Hope this Helps!

Answer:

5 sq m = 50,000 sq cm

5 sq m = 5 sq m

Step-by-step explanation:

To convert a square meter measurement to a square centimeter measurement, multiply the area by the conversion ratio.

Since one square meter is equal to 10,000 square centimeters, you can use this simple formula to convert:

square centimeters = square meters × 10,000

Answer:

50000 square centimeters.

Step-by-step explanation:

Answer:

4 seconds

Step-by-step explanation:

Since we want to know the time when the height is 0, we can rewrite the problem as [tex]0=-2t^2+2t+24[/tex]. From there, we can plug it into the quadratic formula, which gives us [tex]\frac{-2-\sqrt{4-4(-2)(24)} }{2(-2)}[/tex](Since it's a real-world problem and we have a negative denominator, we won't be using the positive square root). We simplify this to get [tex]\frac{-2-\sqrt{196} }{-4}[/tex], then [tex]\frac{-2-14}{-4}[/tex]. Finally, we can calculate this to be 4 seconds.

Answer:

Step-by-step explanation:

Answer:

The Correct Answer is A

Step-by-step explanation:

You are able to put the equation into Desmos Online Graphing Calculator.

When inserting the equation:

[tex]f(x) = 4 {}^{x} [/tex]

You are able to determine that the graph looks like Graph A

I hope this helps and you have a great day!

Note: I am not a professional so take my opinion with caution!

Answer:c

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

substitute -8 into x.

f(-8)=-8+18=10

Answer:

10

Step-by-step explanation:

Answer:10/6 cups of sugar is the answer to this equation being the correct answer.

Step-by-step explanation:

What is the "theoretical yield" of cookies from each of the "reactants?"

Hey there!

5x < -10

DIVIDE 5 to BOTH SIDES

5x/5 < -10/5

CANCEL out: 5/5 because it gives you 1

KEEP: -10/5 because it helps solve for the x-value

NEW EQUATION: x < -10/5

SIMPLIFY IT!

x < -2

It is an OPEN circle shaded to the RIGHT

Therefore, your answer should be:

Option A. x < -2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

95 Dollars

Step-by-step explanation:

95 dollars because she earns 95$ per day and it says "of a day" so it would have to be 95*1, and 95*1 is 95 and it asks how much she earns as in money so it is 95 dollars.

Answer:

its 1.944

Step-by-step explanation:

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases.

the correct answer is B. Amortization.

A decrease in the amount of principal owed on a loan is called amortization.

Amortization refers to the gradual reduction of the principal balance of a loan over time through regular payments. When you make payments on a loan, a portion of the payment goes towards paying off the principal amount borrowed, while another portion goes towards paying the interest charged on the loan.

The process of amortization involves dividing the total loan amount into equal installments or payments over a specified period. With each payment made, a portion goes towards reducing the principal balance. As a result, the outstanding principal decreases over time, leading to the eventual repayment of the entire loan.

Amortization is a common feature in installment loans, such as mortgages, car loans, and personal loans. It allows borrowers to repay the loan gradually rather than in a lump sum, making it more manageable and affordable.

The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases. This means that over time, a larger portion of each payment goes towards paying off the principal, helping the borrower build equity and ultimately fully repay the loan.

Therefore, the correct answer is B. Amortization.

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Answer:

160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10 = 2(70) + 10 = 140 + 10 = 150°

The solution is  : the largest angle is 150°.

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

here, we have,

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10

                      = 2(70) + 10

                      = 140 + 10

                      = 150°

Hence, The solution is  : the largest angle is 150°.

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Answer:

Uggghhh

Step-by-step explanation:

I dont know

Answer:

Part A: Garcia mixed 4 cups of red with 1 cup of yellow.

Part B: 1/4 because 4 cups of red requires 1 cup of yellow, so 1 divided by 4 is 1/4.

Part C: $7

Hope this helps! :)

Step-by-step explanation:

Answer: A. ( > )

Step-by-step explanation: When you learn fractions, the fraction with the smaller numerator ( the top number) is the greater fraction because it contains more parts of the whole.

Answer:

Model B

Step-by-step explanation:

In Model A as x increases by 2 y decreases by 1. So as x increases by 1 y decreases by 0.5 giving us a rate of change of -0.5

In Model B we have a slope of 2/3 (because as x inreases 2 times y increases 3 times)

-0.5 < 2/3

Answer:

g=5

Step-by-step explanation:

(-9)-(6) / (-5)-(g) = 3/2

3 x -(g+5) = 2 x -15

g+5=10

g=5

Answer:

g=15

Step-by-step explanation:

we first can substitute in (-5,-9) into the x and y variables in y=mx+b as well as the slope:

so we get:

-9=3/2(-5)+b

now lets solve for b:

3/2 x -5 = -15/2

-9=-15/2+b

now add the -15/2 on both sides of the eqaution:

b=-33/2

now lets substitute it back in:

y=3/2x-33/2

NOW lol substitute the 6 in to find g:

6=3/2g-33/2

solve from here to get

45/2=3/2g

multiply by 2 on each side

45=3g

divide both sides by 3:

g=15!!!!!!!!!!!!!!

I hope this helped sry it took long lol