Write the equation of the table below in Slope-Intercept Form.

Answer:

x=5

Step-by-step explanation:

The axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We know the vertex form of the parabola is:

y = a(x - h)² + k

Given,

h = 3

k = 5

y = a(x - 3)² + 5

The axis of symmetry:

x - 3 =0

x = 3

Thus, the axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.

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Answer:

For a:

For b:

I hope this helps!

Answer:

y = 1/4 x - 5/4

Step-by-step explanation:

y = 4x + 5

Switch x and y.

x = 4y + 5

Solve for y.

4y = x - 5

y = 1/4 x - 5/4

The inverse of the function y = 4x + 5 is [tex]f^{-1}(x) = \frac{x-5}{4}[/tex]

The given function is:

y = 4x  +  5

To find the inverse of the given function y = 4x  +  5, follow the following steps:

Make x the subject of the formula:

[tex]y = 4x + 5\\\\4x = y - 5\\\\x = \frac{y}{4}-\frac{5}{4}[/tex]

Replace x by [tex]f^{-1}(x)[/tex] and replace y by x.

The resulting function represents the inverse of the function y = 4x  +  5

[tex]f^{-1}(x)=\frac{x}{4}-\frac{5}{4}[/tex]

Which can be further simplified as:

[tex]f^{-1}(x) = \frac{x-5}{4}[/tex]

The inverse of the function y = 4x + 5 is [tex]f^{-1}(x) = \frac{x-5}{4}[/tex]

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Answer: 7

Of all the numbers listed, the number 7 is the greatest. If you are asking for the farthest from sea level, it is 7 because of the fact that it is the greatest number.

The answer is 7. Hope this helps!

Answer:

sea level is 0 so it would be 7

Answer:

[tex]100.5 = 100 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]100 + 50\% = 100 + \frac{50}{100} = 100 \frac{1}{2} = 100.5[/tex]

♨Rage♨

Answer:

Equals

Step-by-step explanation:

You need to know the conversion rate for tons to pounds. 1 ton is equal to 2000 lbs so the answer is =.

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

Answer:

I would say about 13 minutes.

Step-by-step explanation:

9 4/5 KPH is about 6.1224489795918 Kilometers per minute

Multiply by 2 1/5 KPM

6.1224489795918 x 2 1/5 = 13.4693877551 Minutes

Answer: 13.469 or about 13.5 minutes

Step-by-step explanation:

Estimating part:

The first number can be rounded to 10, and second number to 2

You can set up a proportional equation

[tex]\frac{10 kilometers}{60 minutes} = \frac{2 kilometers}{x}[/tex]

then cross multiply to get 10x=120, then divide to get x = 12 minutes

Exact answer:

I like making fractions into decimals to make it easier to see

The first number as a decimal is 9.8, and the second is 2.2

Set up another proportional equation

[tex]\frac{9.8 kilometers}{60 minutes} = \frac{2.2 kilometers}{x}[/tex]

cross multiply to get 9.8x = 132

divide by 9.8 on both sides to get x = 13.5 minutes

Answer:

-15

Step-by-step explanation:

35+25=60

60-50=10

10-25=-15

Answer:

The answer is Y=8.5+0.18x

Step-by-step explanation:

Given data

Let the flat fee be $8.5

Let the additional fee per ounce be $0.18

Let the total amount to mail the package be y

Therefore the total amount is

Y=8.5+0.18x

The function is Y=8.5+0.18x

Answer:217

Step-by-step explanation:

Answer:

1254.32

Step-by-step explanation:

add and subract

Answer:

S = 2w( 5w + 6h)

Step-by-step explanation:

given:

S = 2(lw + lh + wh)

if l = 5w, then we simply substitute this into the expression above.

S = 2[   lw   +   lh   +   wh  ]

S = 2[   (5w)w   +   (5w)h   +   wh  ]

S = 2[   5w²   +   5wh  +   wh  ]      

S = 2( 5w²   +   6wh)         simplify by factoring out w

S = 2w( 5w + 6h)

Answer:

Y=0/0

Step-by-step explanation: since their is no fall or rise in the slope it is 0

$9,400 * 0.06 = $564

$564 + $160 = $724.00

Laura’s earnings for that week were $724.00.

Answer:  $604.00

Step-by-step explanation:

The other answers are paying commission on the whole amount of sales. The question says she earns 6% commission on all sales over $2,000. This would mean she earns commission on $7,400 ($9,400 - $2,000).

$7,400 X 0.06 = $444.00 in commission.

$444.00 + $160 (weekly pay) = $604.00 total earned

Unless I am missing something or just completely having a brain cluster...Please tell me if I am wrong...

Answer:

the 6 inch is a better deal because it is 55 cents per inch while the 12 inch is 60 cents per inch

Answer:

h

Step-by-step explanation:

Answer:

I'm not 100% sure if I did it right but I got x=1

Step-by-step explanation:

They are equal to each other cause it is an isosceles triangle

10x-3=5x+2

add the 3 to both sides

10x=5x+5

subtract the 5x from both sides

5x=5

divide the 5 from both sides

x=1

Answer:

y=-3x-10.5

Step-by-step explanation:

Let's use the first set of numbers.

-7.5 and 12

-3.5 and 0

Our rise here is -12 and run is 4.  So, our slope is -3.

Now we just need our intercept.

y = mx + b

y = -3x + b

0 = -3(3.5) + b

b = -10.5

The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The table represents some points on the graph of a linear function.

 х           у

-7.5        12

-3.5        0

  -1       -7.5

  2       -16.5

3.5       -21

Take two points from the table, then the points are (-7.5, 12) and (-3.5, 0). Then the equation of the line is given as,

y - 0 = [(-3.5 + 7.5) / (0 - 12)](x + 3.5)

y = - (1/3)(x + 3.5)

3y = - x - 3.5

x + 3y + 3.5 = 0

The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.

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Answer:

Your answer will be (-5,7).

Step-by-step explanation:

Answer:

(-7,5)

Step-by-step explanation:

Answer:

You convert the fractions to a decimal, nut the rest is still the same

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer:

i really have no clue what ur asking so i will solve this the way i know how to

Step-by-step explanation:

4x^2+12x+5

Answer:

e

Step-by-step explanation:

make 2 equations:

-equation 1: y+2>6

equation 2: -y-2>6

Then solve for each, and you will end up with -8>y>4

Answer:

y = 15 - 3.6x.

Step-by-step explanation:

The initial amount of fuel before cruising begins = 15,000 gallons.

The equation is  y = 15 - 3.6x where y is in thousands of gallons and x = number of hours.

Answer:

The simplified form is  [tex]\frac{6}{5x^{10} }[/tex] ⇒ A

Step-by-step explanation:

Let us solve the question

∵ The expression is [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex]

→ At first, divide simplify the coefficient of the variable

∵ [tex]\frac{72}{50}=\frac{36}{25}[/tex]

∵ 36 = 6 × 6 and 25 = 5 × 5

→ 6 and 5 repeated twice then the can go out the root one 6 and one 5

∴ [tex]\sqrt{\frac{36}{25}}=\frac{6}{5}[/tex]

→ Let us use the exponent rule with division [tex]\frac{a^{m} }{a^{n}}=a^{m-n}[/tex]

∵ [tex]\frac{x^{16}}{x^{36}}=x^{(16-36)}=x^{-20}[/tex]

→ To cancel the root divide the power by 2

∵ -20 ÷ 2 = -10

∴ [tex]\sqrt{x^{-20}}=x^{-10}[/tex]

∴  [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]x^{-10}[/tex]

→ To change the power of x from (-) to (+) reciprocal x

∴ [tex]x^{-10}=\frac{1}{x^{10}}[/tex]

∴  [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5x^{10} }[/tex]

∴ The simplified form is  [tex]\frac{6}{5x^{10} }[/tex]

Answer:

[tex]\frac{x-2}{5}[/tex]

Step-by-step explanation:

The inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The inverse function is calculated as:-

y = 5 ( x - 2 )

Replace the variables with each other in the equation.

x = 5 ( y - 2 )

( x/5 ) = y - 2

y = ( x/5 ) + 2

Therefore, the inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].

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Answer:

(a) The slope and the y-intercept are 7 and 15

(b) y represents the total number of baskets of berries the workers picked over a period of time

(c) The rate and the initial amounts are 7 baskets/hour and 15 baskets

Step-by-step explanation:

Answer:

A. the slope of the equation is 7 and y-intercept is 15

B. the term "y" represents the total

C. The rate of change is 7x and the initial amount is 15. The rate of change means the "thing" (or variable) that keeps on changing and here it is the 7x. This means that every hour, the workers pick 7 baskets and this number will change based on the hours, which can is represented by the x. The 15 is our initial amount of baskets we had before starting because it is unchanging, it is our initial amount.

Explanation for A & B:

A.  This equation is written in slope-intercept form which is, y=mx+b the slope is represented by the "m" and the y-intercept is represented by the "b". In simpler words, slope=m and y-intercept=b

B. When we take our given amount which is 15 baskets (y) and add it to our slope  (7x) or the amount that changes based on time

we will get our total y, which represents the total amount of baskets