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3 years ago

find real numbers a, b, and c so that the graph of the function y=ax^2+c contains the points (-1,6), (2,7), and (0,1)

1 answer:

5 0

This gives you three simultaneous equations:

6 = a + c
7 = 4a + c
1 = c

c = 1

If c =1,

6 = a + 1
a = 5

This doesn't work in the second equation, so the quadratic that goes through these points is not in the form y = ax^2 + bx + c
Was there supposed to be a b in the equation?

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6÷x (1+2)=1 please tell me how to work this out

Vinvika [58]

First of all 1+2=3 which leads to 6:3x=1 3x=6:1 3x=6 X=2

5 0

3 years ago

Write the equation of the line with a slope of 3/2 that contains the point (-2,-4) .

VARVARA [1.3K]

Answer:

y= 3/2x- 4

Step-by-step explanation:

3/2 = mx

b= -4

y=mx+b

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3 years ago

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

3 years ago

Decide which project the most profitable is by:

Doss [256]

Answer:

Project A :

NPV : $703,888.64

IRR : 44.882%

Project B:

NPV : $5,241.26

IRR : 49.662%

Project B is more profitable

Step-by-step explanation:

The NPV gives the difference between the present value of cash inflow and cash outflow over a certain period of time.

The Internal rate of return is the discount rate which makes the NPV of an investment 0. It is used to estimate the potential return on an investment. Investments with higher IRR are said to be better than those with lower IRR value.

Using the net present value, (NPV) Calculator, the NPV for project A is : $703,888.64

The IRR of project A is : 44.882%

The NPV for Project B is : $5,241.26

The Internal rate of return (IRR) : 49.662%

From the Internal rate of return value obtained, we can conclude that, project B is more profitable as it has a higher IRR than project A.

8 0

3 years ago

What is equal to 3 * 3 * 3 * 3 * 3

ladessa [460]

Answer:

243 or 3^5

Step-by-step explanation:

You can do the product by multiplying starting from the left.

3 * 3 * 3 * 3 * 3 =

= 9 * 3 * 3 * 3

= 27 * 3 * 3

= 81 * 3

= 243

You can also change it to an exponential form.

3 * 3 * 3 * 3 * 3 = 3^5

3 0

3 years ago

Read 2 more answers