All categories

3 years ago

Abe, Boris, Cal, and David all proposed to Ellie on Friday. Abe proposed at 5, Boris proposed at 6, Cal

Mathematics

1 answer:

Sergio039 [100]3 years ago

7 0

Answer:

David's

Step-by-step explanation:

David proposed at 8, making him the latest of the four. The question states that Ellie accepted the last of the 4 proposals, so David's must be the one she accepted. All other information in the question is irrelevant.

You might be interested in

2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

3 years ago

Sam has purchased collision insurance with a $100-deductible clause, and automobile medical payments insurance in the amount of

REY [17]

The amount that the insurance company will pay is $1800.

<h3>How to illustrate the information?</h3>

It should be noted that the insurance company will pay John for the expenses of his injuries and repair of the car.

For the injury, he will get:

= $500 + ($1400 - $100)

= $500 + $2300

= $1800

Therefore, the amount is $1800.

Learn more about insurance on:

brainly.com/question/2141892

#SPJ1

3 0

2 years ago

Graph the data in the table. Which kind of function best models the data? Write an equation to model the data. quadratic; y = 2.

Oksanka [162]

Answer:

Option (1)

Step-by-step explanation:

x -2 -1 0 1 2

y 10 2.5 0 2.5 3.0

Ist difference,

$d_1=y_2-y_1$

$=2.5-10=-7.5$

$d_2=y_3-y_2$

$=0-2.5$

= -2.5

$d_3=y_4-y_3$

$=2.5-0$

= 2.5

$d_4=y_5-y_4$

$=10.0-2.5$

= 7.5

2nd difference,

$x_1=d_2-d_1$

$=-2.5+7.5$

= 5

$x_2=d_3-d_2$

$=2.5+2.5$

= 5

$x_3=d_4-d_3$

$=7.5-2.5$

= 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

8 0

3 years ago

A car is traveling at a constant velocity. After two hours the car has traveled 110 miles. After four hours the car has traveled

Likurg_2 [28]

The answer here is 275 miles, because it is going at 55 miles per hour. you can find this out by dividing the miles by the hours. Hope this helps.

3 0

3 years ago

T is inversely proportional to d^2 (d squared)<br> when t is 160 d is 8 <br> find t when d is 0.5

I am Lyosha [343]

Step-by-step explanation:

everything can be found in the picture

4 0

3 years ago