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Deffense [45]
2 years ago
13

PLEASE HELP WITH THIS I HAVE NO IDEA HOW TO SOLVE!!!!

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
4 0
Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2

You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1

The equation you seek is
.. y = x^2 +6x +7

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Solve for x 1/2(x-3)=1/3(1-x)
Goshia [24]

Answer:

x=2.5906672908862554,−0.2573339575529219

7 0
2 years ago
Sneha is planning a 5-night vacation. It will cost $50 for transportation, $290 for food, and $95 per night for a hotel room. Sh
Goshia [24]

Answer:

Step-by-step explanation:

Total cost for trip = 290 + 50 + 95*5 =290+50+ 475 = $ 815

Savings = $143

Money needed = 815 - 143 = $ 672

No. of driveways = 672/48 = 14

14 driveways must she shovel to have enough money to pay for the trip.

6 0
3 years ago
What is the maximum number of possible extreme values for the function, F(x)=x^4+x^3-7x^2-x+6?
Arturiano [62]

Coming from a 6th grader but I hope this is right!

Polynomials of degree greater than 2 can have more than one max or min value. The largest possible number of minimum or maximum points is one less than the degree of the polynomial. The following examples illustrate several possibilities.

since the degree is 4

number of possible extreme values = 4 -1 = 3

3 0
3 years ago
a train is traveling from New Orleans to Memphis at a constant speed of 79 miles per hour.New Orleans and Memphis are 395.1 mile
alexdok [17]
Just use the formula time = distance / speed

395.1/79= 5.001

It will take the train approximately five hours to reach Memphis
5 0
3 years ago
In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. A
suter [353]

Answer:

a. [6.6350,7.3950]

b. ME=0.5150

Step-by-step explanation:

a. Given that n=40, \bar x=6.88 and that:z_{\alpha/2}=z_{0.05}=1.645

The required 90% confidence interval can be calculated as:

\bar x\pm(margin \ of \ error)\\\\\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\6.88\pm(1.645\times \frac{1.98}{\sqrt{40}})\\\\=[6.3650,7.3950]

Hence, the 90% confidence interval for the population mean cash value of this crop is [6.6350,7.3950]

b. The margin of error at 90% confidence interval is calculated as:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\=(1.645\times \frac{1.98}{\sqrt{40}})\\\\=0.5150

Hence, the margin of error is 0.5150

8 0
3 years ago
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