All categories

3 years ago

Which graph correctly solves the system of equations below? y = −x2 + x + 7 y = x2 + 3x + 7

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

5 0

Answer:

(-1.703, 2.396)

(1.37, 6.493)

Step-by-step explanation:

We can easily solve this question by using a plotting tool or any graphing calculator,

The solution to the system of equation is given by the intersection points between the graphs of

y1 = −x^2 + x + 7

y2 = x^2 + 3x + 7

Please, see attached picture below.

The solutions are:

(-1.703, 2.396)

(1.37, 6.493)

You might be interested in

Use two different computations (one involving the Poisson and another the exponential random variable) to determine the probabil

iren2701 [21]

Answer:

Probability according to Poisson's distribution function = 0.04979

Probability according to Exponential random variable = 0.3333

Step-by-step explanation:

In 15 minutes, the number of jobs that arrive on the average = (12/60) × 15 = 3 jobs per 15 minutes

Poisson distribution formula is given as

P(X = x) = (e^-λ)(λˣ)/x!

λ = mean = 3 jobs per 15 minutes

x = variable whose probability is required = 0

P(X = 0) = (e⁻³)(3⁰)/0! = 0.04979

Exponential random variable formula is given by

P(X=x) = f(x,λ) = λ e^(-λ.x)

λ = rate parameter, that is, time between jobs.

λ = (1/3) (15 minutes per job) = 0.3333

P(X = 0) = f(0, 0.3333) = 0.3333 e^0 = 0.3333

4 0

4 years ago

s(t)=-4.9+vt+s. . To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at

Nadusha1986 [10]

The height of a falling object can be approximated (assuming no air resistance) by
h(t) = -16t^2 + h0
where h0 is the initial height of the object.
We are given h(5.6) = 0 and are asked to find h0.
0 = -16*5.6^2 + h0
16*5.6^2 = h0
501.76 = h0
<span>The height of the building is about 500 ft.</span>

5 0

3 years ago

Please help me with the ones in the picture

balu736 [363]

9. 200
10. 60
11. 60
12. 70
13. 2
14. -5
16. 2

(Just a PS, you should learn how to do this since it's basic algebra and will be used a lot in the future math classes that you take.)

4 0

4 years ago

Solve for y.<br><br> −2y+7=−5

kakasveta [241]

Answer:

Ur right! The answer is y = 6

Step-by-step explanation:

So, we have the equation of -2y + 7 = -5.

So, if y = 6, it would now be (-2 * 6) + 7 = -5.

Now, lets solve:

(-2 * 6) + 7

-12 + 7

= -5

So, ur answer is A. y = 6.

Hope this helps :DD

5 0

3 years ago

Read 2 more answers

in a bag there are two blue marbles, three red marbles, and four green marbles, what is the probability of selecting a blue marb

MakcuM [25]

2 plus 3 plus 4 equals 9
So 2/9 chance you would get a blue marble

8 0

3 years ago