Write the equation of a parabola in vertex form.  vertex (2,3) point (3,-2). F(x)= ?

Answer:

z=35.1

Step-by-step explanation:

Answer:

z = 351/10 or z = 35.1

Step-by-step explanation:

*Add/subtract numbers: -49 + 851 = 802

z + 802 = 100 + 21z

*Subtract 802 from both sides

z + 802 - 802 = 100 + 21z - 802

*Simplify

z = 21z - 702

*Subtract 21z from both sides

z - 21z = 21z - 702 - 21z

*Simplify

-20z = -702

*Divide both sides by -20

- 20z/20 = - 702/- 20

*Simlify

z = 351/10 or z = 35.1

Answer:

The answer is -20x+1y-5

Step-by-step explanation:

The approximate distance Mike and Lilly will have to travel between halfway point and Library is 7.8 miles.

From the graph :

Meeting point = Halfway point :

(x1 + x2) /2 ; (y1 + y2) / 2

X - coordinate = (-4 + 2) / 2 = - 2/ 2 = - 1

Y - coordinate = (2 + (-2)) /2 = 0/2 = 0

Hence, meeting point = (-1, 0)

The distance between meeting point and library :

Distance = √[(x2 - x1)² + (y2 - y1)²]

Distance = √[(4 - (-1))² + (6 - 0)²]

Distance = √(25 + 36)

Distance = √61 = 7.8 miles

Therefore, the distance between halfway point and library ls approximately 7.8 miles

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Answer:

look below

Step-by-step explanation:

going left and right changes the x( first number in each parentheses)

going up and down changes the y (second number in parentheses)

going to the left by 9 means all the first numbers are going in the negative direction (-9)

going up by 12 means the second numbers are going in the positive direction (+12)

take all x values and add -9, take all y values and add 12

X (-15, 13)

Y(-5,12)

Z(-8, 15)

x

Step-by-step explanation:

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Answer:

Step-by-step explanation:

d.) .7107

e.) .2185

Answer:

answer in explanation

Step-by-step explanation:

1. = 7x

2. =10x+ 7y

3. =8A + 10B - 1C

4. = 9M + 13N

5. = 5 x+ 9y + 18z

6. = 6x

7. = 20B

8, = 40C

9. = -18w

Answer:

D) -2.14< root10 <|-2.8|

Step-by-step explanation:

the value for -2.14 is as plain as you can see, the negative version of 2.14.

The square root of 10 is 3.16227766.

The lines next to -2.8 is asking for the absolute value of -2.8, or the distance between that number and zero. The distance between -2.8 and 0 is positive 2.8, because distance can't be negative.

The 3 numbers taken from the explanations are -2.14, 3.16, and 2.8. Ranking them from least to greatest would give you -2.14, 2.8, 3.16, or -2.14< root10 <|-2.8|

Answer:

16 inches after one year

Step-by-step explanation:

in 3/4 a year tree grew 12 inches

divide by 3

multiply by 4

16 inches

Answer:

1) 350

2) 195.83

Step-by-step explanation:

Tuition fee = $12, 000 per year.

30% of it's being paid off by the scholarship, so she'll have to pay:

[tex] = 12000 - ( \frac{30}{100} \times 12000) [/tex]

[tex] = 12000 - 3600[/tex]

[tex] = 8400[/tex]

She'll have to pay $ 8400 by herself, her savings.

If she's saving $ 8400 for two years, she's actually saving $ 8400 for 24 months!

for one month, it'll be

= 8400/ 24

= $ 350 per month

one year fee = $ 10, 700

uncle pays half of it, I.e., 10700/ 2

= $ 5, 350

he gets a grant for $ 3,000

so, the part of the fee he ain't paying

= 5,350 + 3000

= $ 8,350

So, he'll have to save:

= 10,700 - 8,350

= $ 2,350

that is per year,

for per month = 2350/ 12

= $ 195.83

The point of intersection is the point where two or more functions meet.

The graphs of the hyperbola and ellipse have 0 point of intersection

The given parameters are:

[tex]\mathbf{3x^2 - 4y^2 + 4x - 8y + 4 = 0}[/tex]

[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 0}[/tex]

To determine the points of intersection, we simply equate both equations.

So, we have:

[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 3x^2 - 4y^2 + 4x - 8y + 4 }[/tex]

Cancel out the common terms

[tex]\mathbf{y^2 - 3y = - 4y^2 - 8y }[/tex]

Collect like terms

[tex]\mathbf{y^2 +4y^2= 3y - 8y }[/tex]

[tex]\mathbf{5y^2= - 5y }[/tex]

Divide through by 5

[tex]\mathbf{y^2= - y}[/tex]

Divide through by y

[tex]\mathbf{y= -1}[/tex]

The system of equation does not give room to calculate the x-coordinate at the x-axis.

Hence, the graphs of the hyperbola and ellipse have 0 point of intersection

Read more about points of intersection at:

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Answer: 0

Explanation: Took the test

Answer:

£7

Step-by-step explanation:

15×203_3[2

w820362

45

Answer:

5 5/12

Step-by-step explanation:

hoffe das hilft

Answer:

w=-13/4

w=2

Step-by-step explanation:

|8w+5|=21

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |8w+5| = 21

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |8w+5|

For the Negative case we'll use -(8w+5)

For the Positive case we'll use (8w+5)

STEP

3

:

Solve the Negative Case

     -(8w+5) = 21

    Multiply

     -8w-5 = 21

    Rearrange and Add up

     -8w = 26

    Divide both sides by 8

     -w = (13/4)

    Multiply both sides by (-1)

     w = -(13/4)

    Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

     (8w+5) = 21

    Rearrange and Add up

     8w = 16

    Divide both sides by 8

     w = 2

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

w=-13/4

w=2

Answer:

0.8253

Step-by-step explanation:

because there are numbers after, 0.8253 is bigger. 0.82 doesn't have any numbers after to make it slightly bigger.

Answer:

9. ⅓

12. 1/12

15. 4/25

bye

Step-by-step explanation:

9. ⅔×½=⅓ ( the 2 in the numerator cancel out with the 2 in the denominator).

12. ⅓×¼=¹/(3×4) = ¹/12. (multiply the denominators 3 & 4)

15. ⁴/10×⅖= 4/25. (divide 2 in the numerator with the 10 in the denominator which gives the quoetiont 5) .

hope this helps you.

Answer:

thanks for the point

GGGGGGGGGGGGGGDFHNFJYGJTG

Answer:

72.55 ≤ x≤ 123.40

Step-by-step explanation:

c = 16.95x + 4.75,

We have to purchase a minimum of 4 games

Let x = 4

c (4) = 16.95(4) + 4.75

c(4) =67.8+4.75 = 72.55

This is the smallest amount we will spend

The most we will purchase is 7 games

Let x = 7

c (7) = 16.95(7) + 4.75

c(7) =118.65+4.75 = 123.40

This is the largest amount we will spend

The range is

72.55 ≤ x≤ 123.40

Answer:

20°C

Step-by-step explanation:

To find the change in temperature, we can multiply the values given.

4 * 5 = 20°C

Best of Luck!

Answer:

x=22

Step-by-step explanation:

We would do the opposite so "six less" we would add 6 to 38. 6+38= 44 and "twice a number" we would divide by 2. 44 /2= 22. So the answer would be 22.

Hope this helps! :)

Answer:

Answer is 22

Step-by-step explanation:

38+6=44

44 ÷ 2= 22

:)

Answer:

g

have a great day ahead

please mark me as the brainliest

Answer:

[tex]31 - 26 = 36 - 31 = 41 - 36 \\ = 46 - 41 = 5 = d \\ yes \: it \: is \: an \: arithmetic \: sequence[/tex]

Answer:

The solution is 1

Step-by-step explanation:

(a^2)+b

(-2^2)+5

-4+5

1

Answer:

- 17

Step-by-step explanation:

Substitute the given values into the expression

2a - 3b

= 2 × [tex]\frac{1}{2}[/tex] - 3 × 6

= 1 - 18

= - 17

It will take 19 years for the countdowns to reach $ 14,989.87

Given that Heather invest $ 3377 in a retirement account with a fixed annual interest rate of 8% compounded two times per year, to determine how long will it take for the countdowns to reach $ 14,989.87 the following calculation must be performed:

Initial value x (1 + interest rate / compounding times) ^ (years x compounding times) = Compound interest

Therefore, it will take 19 years for the countdowns to reach $ 14,989.87.

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Answer: 3x^2

Step-by-step explanation: Find the greatest common factor for the numerical part. For 3, 15, and 21 the greatest common factor is 3. Find the GCF for the variable part which is x^2. Multiply 3 and x^2 to get 3x^2.

Answer:

Step 1:

Start by setting it up with the divisor 7 on the left side and the dividend 55 on the right side like this:

   7 ⟌ 5 5  

Step 2:

The divisor (7) goes into the first digit of the dividend (5), 0 time(s). Therefore, put 0 on top:

       0    

   7 ⟌ 5 5  

Step 3:

Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.

       0    

   7 ⟌ 5 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (5 - 0 = 5) and write the answer below.

       0    

   7 ⟌ 5 5  

     - 0    

       5    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   7 ⟌ 5 5  

     - 0    

       5 5  

Step 6:

The divisor (7) goes into the bottom number (55), 7 time(s). Therefore, put 7 on top:

       0 7  

   7 ⟌ 5 5  

     - 0    

       5 5  

Step 7:

Multiply the divisor by the result in the previous step (7 x 7 = 49) and write that answer at the bottom:

       0 7  

   7 ⟌ 5 5  

     - 0    

       5 5  

      4 9  

Step 8:

Subtract the result in the previous step from the number written above it. (55 - 49 = 6) and write the answer at the bottom.

       0 7  

   7 ⟌ 5 5  

     - 0    

       5 5  

     - 4 9  

         6  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Step-by-step explanation:

(x² - 2x + 1)(x- 1)=

(x+1)^2(x-1)

Step-by-step explanation:

(x² - 2x + 1)(x- 1) = x³ - 2x² + x - x² +  2x - 1

                         = x³ - 3² + 3x - 1

Answer:

(4x^5)^2 you just need to square 4x^5

Answer:

Step-by-step explanation:

one side = 4x^5

four sides of the square= (4x^5)^2

= (4x^5)* (4x^5)

=16x^10