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Alika [10]
3 years ago
8

Jessica is asked to write a quadratic equation to represent a function that goes through the point (8, –11) and has a vertex at

(6, –3). Her work is shown below.
–11 = a(8 – 6)2 – 3
–11 = a(2)2 – 3
–11 = 4a – 3
–8 = 4a
a = –2

After Jessica gets stuck, she asks Sally to help her finish the problem. Sally states that Jessica needs to write the quadratic equation using the value she found for a, –2, and the point (8, –11).

Evaluate Jessica’s work and Sally’s review to determine which statement is true.
Mathematics
2 answers:
serious [3.7K]3 years ago
7 0

Answer:

Jessica’s work is correct and Sally’s review is incorrect

Step-by-step explanation:

I'm just assume it's a vertical parabola

we know that

The equation of a vertical parabola in vertex for is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex

In this problem we have

(h,k)=(6,-3)

point (8,-11)

substitute

-11=a(8-6)^{2}-3

-11=a(2)^{2}-3

-11=4a-3

-8=4a

a=-2

To find the equation using the value of a and the vertex point

so

y=-2(x-6)^{2}-3

therefore

Jessica’s work is correct and Sally’s review is incorrect


harina [27]3 years ago
4 0
Jessica solved for the correct value of a, but Sally's review was incorrect. 
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Sedaia [141]

Answer:

Step-by-step explanation:

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Notice how the transfer rate is in units of time (25.2 MB/s means 25.2 MB per second).

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We're essentially solving for t in the equation

400.6 = 25.2t

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7 0
3 years ago
Please help me! I'm having trouble solving this! In the △PQR, PQ = 39 in, PR = 17 in, and the height PN = 15 in. Find QR. Consid
Vlad [161]

Answer: 44

Step-by-step explanation:

we will find RN and NQ, then add together to give us RQ.

To find RN;

RP= 17 PN = 15 and RN =?

using pythagoras theorem,

adj^2 = hyp^2 - opp^2

RN^2 = RP^2 - PN^2

?^2 = 17^2 - 15^2

?^2 = 17^2 - 15^2

?^2 = 289 - 225

?^2 = 64

? = √64

? = 8

RN=8

To find NQ,

PN = 15 PQ=39 and NQ=?

using pythagoras theorem

NQ^2 = PQ^2 - PN^2

?^2 = 39^2 - 15^2

?^2 = 1521 - 225

?^2 = 1296

? = √1296

? = 36

NQ= 36

RQ = RN + NQ

RQ= 8 + 36

RQ=44

4 0
3 years ago
Ally and Beck went fishing and caught a total of 75 fish. At home,
tigry1 [53]

Answer:

<em>Beck actually caught 45 fish</em>

Step-by-step explanation:

<u>System of Equations</u>

We call the following variables:

x = number of fish Ally caught

y = number of fish Beck caught

They caught a total of 75 fish, thus:

x + y = 75      [1]

If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:

3y = 2x + 75      [2]

From [1]:

x = 75 - y      [3]

Substituting in [2]:

3y = 2(75 - y) + 75

Operating:

3y = 150 - 2y + 75

Simplifying:

5y = 225

Dividing by 5:

y = 45

Beck actually caught 45 fish

3 0
3 years ago
Read 2 more answers
Why is it important to know how to estimate quotients?
Zigmanuir [339]
In the real world you are not going to have a calculator on you 24/7. Nor will you have a pencil or paper to do longhand. You need to know how to accurately estimate your answers in order to be successful.
8 0
3 years ago
A members-only speaker series allows people to join for $28 and then pay $4 for every event attended. What is the total cost for
wariber [46]

Given:

Joining fee = $28

Fee of each event = $4

To find:

Total cost for someone to attend 4 events.

Solution:

Let the number of events be x and total fee be y.

Fee for 1 event = $4

Fee for x events = $4x

Joining fee remains constant. So, the total fee is

y=28+4x

Substitute x=4 in this equation.

y=28+4(4)

y=28+16

y=44

Therefore, total cost of 4 events is $44.

8 0
3 years ago
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