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3 years ago

15

Michael and Lindsey are saving money. Michael begins with $20 and saves $5 per week. Lindsey begins with no money but saves $10

per week.
Enter the number of weeks it will take for Lindsey and Michael to save the same amount of money.

2 answers:

Ymorist [56]3 years ago

8 0

It would take them each 4 weeks to get the same amount of money

Marina CMI [18]3 years ago

5 0

Answer:

5 weeks in total

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Write the equation for a parabola that has a vertex (2, -1) and a directrix of x = 5.

Alika [10]

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Step-by-step explanation:

Let us revise the equation of a parabola

1. The form of the equation is (y − k)² = 4p(x − h)

2. The coordinates of its vertex are (h , k)

3. The equation of its axis of symmetry is y = k

4. The coordinates of the focus are (h + p , k)

5. The directrix is at x = h − p

∵ The coordinates of the vertex of the parabola are (2 , -1)

∵ The coordinates of its vertex are (h , k)

∴ h = 2 and k = -1

∵ The directrix is at x = 5

∵ The directrix is at x = h − p

∴ h - p = 5

∵ h = 2

∴ 2 - p = 5

- Subtract 2 from both sides

∴ - p = 3

- Multiply both sides by -1

∴ p = -3

∵ The form of the equation is (y − k)² = 4p(x − h)

∴ (y - -1)² = 4(-3)(x - 2)

∴ (y + 1)² = -12(x - 2)

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Learn more:

You can learn more about equation of a parabola in brainly.com/question/8054589

#Learnwithbrainly

3 0

3 years ago

Read 2 more answers

Plz help me with this

Finger [1]

Answer: c) x = 5

<u>Step-by-step explanation:</u>

$2\ log_3\ (x+4)-log_3\ 9=2\\\\2\ log_3\ (x+4)-log_3\ 3^2=2\\\\2\ log_3\ (x+4)-2=2\\\\2\ log_3\ (x+4)=4\\\\log_3\ (x+4)=2\\\\x + 4 = 3^2\\\\x+4=9\\\\\large\boxed{x=5}$

3 0

3 years ago

Solve the equation. Check your answer.<br> 6x - 3= 5x +5<br> X=

ZanzabumX [31]

Answer:

x = 8

Step-by-step explanation:

6x - 3 = 5x + 5

Move variable to the left hand side and change their sign.

$\sf \: 6x - 5x - 3 = 5$

Calculate like terms.

x - 3 = 5.

Move constant to the right hand side and change their sign.

x = 5 + 3
x = 8

<u>Check our answer :-</u>

6x -3 = 5x + 5

plug the 8 as x.

6 ( 8 ) - 3 = 5 ( 8 ) + 5
48 - 3 = 40 + 5
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LHS = RHS

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What is the equation of the line that is parallel to y=-x+4 and that passes through (-2,-2)?

Gwar [14]

Answer:

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Step-by-step explanation:

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Use the subway train schedule below to answer the question.

NISA [10]

Answer:

40 minutes

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LCM(8, 10) = 8·10/GCD(8, 10) = 80/2 = 40

The red and blue trains will arrive together again in 40 minutes

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3 years ago

Read 2 more answers