Write an equation of each parabola in vertex form vertex : (7, 4) point: (5, 16)

Answer:

Total yearly interest for the two accounts is: $1500

Step-by-step explanation:

Total amount of money invested: $13000

x+y=13000,

Total yearly interest for the two accounts is: $1500

0.07*x+0.17*y=1500

x=13000-y

Substitute for x

0.07*(13000-y)+0.17*y=1500

Multiply out

910-0.07y+0.17*y=1500

Combine like terms.

0.1*y=590

Isolate y

y=$ 5900.00 at 17%

x=13000-y

Calculate x

x=$ 7100.00 at 7%

Check

0.07*7100+0.17*5900=1500

497+1003=1500

1500=1500

If this statement is TRUE and neither amount is negative then all is well

(Hope this helps can I pls have brainlist (Crown)☺️)

9514 1404 393

Answer:

Step-by-step explanation:

Ms. Liu will have to pay 8p for p bags of popcorn, and 3w for w bottles of water. The amount she will have left will be these amounts subtracted from $40.

  40 -8p -3w . . . . represents the money remaining

For p=3 and w=4, this evaluates to ...

  40 -8(3) -3(4) = 40 -24 -12 = 4

Ms. Liu will have $4 left after her purchase.

Answer:

it's C. 3/40

Step-by-step explanation:

ghjfrukkbf

Answer:

14.3

Step-by-step explanation:

2.75 * 5.2=14.3

Answer:

Explanation is in a file

Step-by-step explanation:

The equation that represents the relation in this situation is: y = 3x + 8

The relationship between days (x) and height (y) is a linear one. Each day, the height increases by 3 centimeters, and the initial height is 8 centimeters (y-intercept).

This can be represented by the equation y = 3x + 8, where 3 is the rate of increase per day and 8 is the initial height. This equation accurately models the given data points: (1, 11), (2, 14), (3, 17), and (4, 20).

Note: This question is incomplete. Here is the complete information:
Which equations represents the relationships between x and y?

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#SPJ3

Answer:

Maximum height 8 feet; horizontal distance 11 feet

Step-by-step explanation:

got it right

The maximum height and horizontal distance is required.

Maximum height 8 feet; horizontal distance 16 feet

The given path is [tex](x-3)^2=-8(y-8)[/tex]

If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.

[tex](x-3)^2=-8(0-8)\\\Rightarrow (x-3)^2=8^2\\\Rightarrow x-3=\pm 8\\\Rightarrow x-3=8\\\Rightarrow x=11[/tex]

or

[tex]x-3=-8\\\Rightarrow x=-5[/tex]

The distance between -5 and 11 is [tex]11-(-5)=16[/tex]

Middle point would be [tex]\dfrac{16}{2}=8[/tex] from [tex]-5[/tex].

[tex]-5+8=3[/tex]

So, [tex]x=3[/tex]

The maximum height will be

[tex](3-3)^2=-8(y-8)\\\Rightarrow y-8=0\\\Rightarrow y=8[/tex]

The maximum height is 8 feet and the horizontal distance is 16 feet.

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Answer:

16

Step-by-step explanation:

it doubles every time    2,4,8. 16

Answer:

4a - 20b - 3c

Step-by-step explanation:

6a - 5b - 8c - 15b - 2a + 5c

= 4a - 20b - 3c

I HOPE IT WILL HELP YOU.

Thank you.

I HOPE YOUR DAY GOES GREAT.

Answer: Taylor is 14 and Jessi is 13

Step-by-step explanation:

Since you can't divide 27 by 2, you would most likely break it in half. SInce the question states that Taylor is still older, she would be 14, and Jessi 13.

Answer: 90

6+15+24=45

45*2=90 (the numbers are the same so just x2)

Answer:

15 percent

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

(80-68)*(100/80)=15%

Step-by-step explanation:

Substitute x=0x=0 to get a3+b2=−56a3+b2=−56 and x=−1x=−1 to get a2+b=−12a2+b=−12 and solve them to get a=−7,b=3

Answer:

x^2+4x+13=0

Step-by-step explanation:

I'm 100% certain this is right. Have a good day/night wherever you are! :D

Answer:

X < 6

Step-by-step explanation:

Since 6 times 6 = 36, then for this equation to be true, x would have to be less than 6.

Answer:

-4m-3

Step-by-step explanation:

Step-by-step explanation:

→ -0.25(16m+12)

→ (-0.25×16m)+(-0.25×12)

→ (-4m)+(-3)

→ -4m-3. Answer

Answer:4

Step-by-step explanation:

Answer:

3) x = -4 and y = 6

4) x = -1 and y = 0

5) x = 1 and y = -3

6) x = -4 and y = -3

Step-by-step explanation:

3) Add the equations:

(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)

= 3y = 18

y = 18/3

y = 6

3x + 4(6) = 12

3x = 12 - 24

x = -12/3 = 4

4) Add the equations:

(-5x - 6y = 5) + (-6x + 6y = 6)

-11x = 11

x = -1

-5(-1) -6y = 5

-6y = 5 - 5

y = 0

5) 7x -4y = 19

10x - 2y = 16

Multiply the second equation by -2 to eliminate the y and add both equations.

-2(10x -2y = 16) =

(-20x + 4y = -32) + (7x - 4y = 19)

-13x = -13

x = 1

7(1) - 4y = 19

-4y = 19-7

y = 12/-4

y = 3

6) multiply the second equation by -2 to eliminate the x and then add the equations.

-2(5x - 3y = - 11) =

(-10x + 6y = 22) + (10x - 9y = - 13)

= -3y = 9

y = - 3

10x - 9(-3) = - 13

10x = -13 - 27

x = -40/10

x = -4

Answer:

[tex] - \frac{1}{3} [/tex]

Step-by-step explanation:

[tex] - 3.7 = - 5.4x - 5.5 \\ - 3.7 + 5.5 = - 5.4x \\ 1.8 = - 5.4x \\ \ - \frac{1.8}{5.4} = x = - \frac{1}{3} [/tex]

Answer:

yes

Step-by-step explanation:

3(8+4)

(3×8)+(3×4)

24+12

36

Answer:

y = -3/7x + 5

Step-by-step explanation:

y2 - y1 / x2 - x1

2 - 8 / 7 - (-7)

-6/14

= -3/7

y = -3/7x + b

2 = -3/7(7) + b

2 = -3 + b

5 = b

Answer:

C.  80 miles.

Step-by-step explanation:

20 minutes is 1/3 of an hour so it travels 60 * 1/3 = 20 miles in 20 minutes.

Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, the take-home pay that Adjoa earn in the past month is Ghc4,265.46

The gross salary is the amount received by an individual prior to the deduction of the taxes.

Given that:

Then, the take-home that Adjoa earned in the past month is calculated by removing the amount deducted from her gross salary.

i.e.

= Ghc4687.24 - Ghc421.78

= Ghc4,265.46

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9514 1404 393

Answer:

  4 + y < 6

  see attached for a graph

Step-by-step explanation:

The English description "the sum of A and B" is written symbolically as ...

  A + B

The symbol for "is less than" is <.

Then "the sum of 4 and y is less than 6" will be written ...

  4 + y < 6

__

The solution to this is found by subtracting 4 from both sides of the inequality:

  4 +y -4 < 6 -4

  y < 2 . . . . . . . . . simplified solution

The graph of this is a number line with an open circle at y=2, and shading to the left of that point, where values on the number line are less than 2.

Step-by-step explanation:

Given:

A. Find the value of one year

B.  Use the future value formula for simple interest to determine the effective annual yield

Answer:

A)  $9458.51

B)  5.09%  (2 d.p.)

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=9000\left(1+\frac{0.05}{4}\right)^{4 \times 1}[/tex]

[tex]\implies \sf A=9000(1.0125)^4[/tex]

[tex]\implies \sf A=9458.508032...[/tex]

Therefore, the value of the account after 1 year is $9458.51.

Simple Interest Formula

A = P(1 + rt)

where:

Given:

Substitute the given values into the formula and solve for r:

[tex]\implies \sf 9458.51=9000(1+r(1))[/tex]

[tex]\implies \sf 9458.51=9000(1+r)[/tex]

[tex]\implies \sf \dfrac{9458.51}{9000}=1+r[/tex]

[tex]\implies \sf r=\dfrac{9458.51}{9000}-1[/tex]

[tex]\implies \sf r=0.050945...[/tex]

[tex]\implies \sf r=5.0945... \%[/tex]

Therefore, the effective annual yield is 5.09% (2 d.p.).

Answer:

20 m

Step-by-step explanation:

We can see from the hatch marks that JK is equal to one half of HG

2(6x - 4) = 10x

12x - 8 = 10x

2x - 8 = 0

2x = 8

x = 8/2

x = 4

therefore to find JK we will substitute x with 4

JK = (6(4)-4) = 24 - 4 = 20m

Answer:

- 1/4

Step-by-step explanation:

[tex]\frac{1-\sqrt{x} }{x^{2}-1 } = \frac{(1-\sqrt{x})*(1+\sqrt{x} ) }{(x+1)(x-1)(1+\sqrt{x} )} \\= \frac{1-x}{-(1-x)(x+1)(1+\sqrt{x} )} \\= - \frac{1}{(x+1)(1+\sqrt{x} )} \\ \lim_{->1} - \frac{1}{(x+1)(1+\sqrt{x} )} \\ = -\frac{1}{(1+1)(1+\sqrt{1}) } = - 1/4[/tex]