Select the x-coordinate of the vertex of the parabola defined by the function f(x)=-9x^2+7x+8

Answers

Answer 1

Answer: $f(x)=-9x^2+7x+8\n\na=-9;\ b=7;\ c=8\n\nx_(vertex)=(-b)/(2a)\n\nx_(vertex)=(-7)/(2\cdot(-9))=(-7)/(-18)=(7)/(18)$

Answer 2

Answer: $x_v=-(b)/(2a)\n x_v=-(7)/(2\cdot(-9))\n x_v=(7)/(18)\n$

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Solve 7x²+8x+1=0 using quadratic formula

Answers

$7x^2+8x+1=0\n\na=7;\ b=8;\ c=1\n\n\Delta=b^2-4ac;\ if\ \DElta > 0\ then\ x_1=(-b-\sqrt\Delta)/(2a)\ and\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=8^2-4\cdot7\cdot1=64-28=36;\ \sqrt\Delta=√(36)=6\n\nx_1=(-8-6)/(2\cdot7)=(-14)/(14)=-1;\ x_2=(-8+6)/(2\cdot7)=(-2)/(14)=-(1)/(7)\n\nAnswer:x=-1\ \vee\ x=-(1)/(7)$

If the base and height of a triangle are measured in inches, what will the units of the perimeter be? centimeters square inches inches

Answers

normally you would give the answer in the units given
UNLESS OTHERWISE STATED

so normally it would be inches (unless the quesiton asks to convert to centimeters)
square inches is for area, we are solving for perimiter

answer is inches

Which binomial expression are factors of 2x^3 + 5x^2 - x - 6

Answers

Answer:

x - 1 and x + 2

Step-by-step explanation:

Smartness

How old would someone be if they were born on the 30th october 1992 ????

Answers

today is March, 19th 2016
so from 1992 have been: 2016 - 1992 = 24 years
but the date is from October 30th, so we are not at 24 years just yet, we are at 23 years and the months and days since last 30th October, that is:
November + December + January + February = 4 months
and some days more, 19 days because today is 19th, so the total is:
23 years, 4 months, 19 days

simple its 2016 and they are born on 1992 so 2016-1992 = 24. but there birthday is in October so they will be 23

Please help!!Solve the equation and express each solution in a+bi form.
x^4-7x^2-8=0
a. x = -1, 1, 2 sqrt 2, or -2 sqrt 2
b. x = -i, i, 2 sqrt 2, or -2 sqrt 2
c. x = -1, 1, 2 sqrt 2i, or -2 sqrt 2i
d. x = -i, i, 2 sqrt 2i, or -2 sqrt 2i

Answers

Because this is a fourth degree that will be tricky to factor as it is, we will do a u substitution. Let $x^2=u$ . We can now rewrite that polynomial in terms of u: $u^2-7u-8=0$ . Filling into the quadratic formula we have $u=(7+/-√(49-4(1)(-8)))/(2)$ . Simplifying down $u=(7+/-√(81))/(2)$ and $u=(7+9)/(2)$ or $u=(7-9)/(2)$ . That means that u = 8 or u = -1. But don't forget that we let $u=x^2$ , so we have to put x-squared back in for u. That gives us $x^2=8$ which simplifies down to $+/-2√(2)$ . That also gives us $x^2=-1$ . When we take the square root of -1, we have to use the fact that -1 = i^2, so we sub that in to get $x=+/-i$ . All in all, your solutions are as follows: $2√(2),-2√(2),i,-i$ which is choice b.

1. The Table shows ticket prices for a concert. Child Student Adult Cost Purchased in Advance $6 $12 $18 Cost Purchased at the door $8 $15 $22 a. What is the average student ticket price? b. What is the average for a ticket purchased at the door? c. would adding the rows provide any meaningful information?

Answers

Answer : Its $15

Step-by-step explanation:

Because thats the average price for a student.

I know its correct!!!

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Sandy and Alex are married, with no dependents. They wish to file a joint tax return. Both of them work, but their combined salaries only put them at a slightly above-average income. They would also like to deduct interest paid on their student loans. Recommend an appropriate 1040 form for Sandy and Alex to fill out.. a.. 1040. b.. 1040-EZ. c.. 1040-2. d.. 1040-A.

HELP! Please! Find The Height.

4 students raise 264 for a charity by washing cars the students receive $8 for each car they washed how many cars did they wash

The sale price of shrimp at a local grocery store is $1.15 for the first ounce and $0.95 for each additional ounce. Which function rule shows how the cost of shrimp, y, depends on the number of ounces, x?A - y = 1.15x + 0.95 B - y = (0.95 + 1.15)x C - y = 0.95x + 1.15 D - y = 0.95(x - 1) + 1.15