MATHEMATICS HIGH SCHOOL

Which value must be added to the expression x2 + x to make it a perfect-square trinomial?

Answers

Answer 1

Answer: it need a lone number. so something like x2+x+3

Answer 2

Answer:

Answer:

The answer is A.) 1/4

Step-by-step explanation:

Got it right on Edge.

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2. Tickets are on sale for a basketball game atthe Alamodome in San Antonio, Texas. Each ticket sells for $74.50. Bus shuttle prices to the event cost $15 per family. Which equation can be used to determine t, the total cost to attend the game if n tickets are purchased by the Gonzalez family? F. n = 74.50t + 15 G. t = 15n+74.50 H. t = 74.50m + 15 J. t = 74.50m + 15n

Rick rents a car from a company that charges him $25 per day plus 10 cents per mile driven. Which expression can represent the amount he owed on a recent rental?a.) 25x + 0.1y
b.) 251.x
c.) 25.1xy
d.) 25.1 + 35y

Answers

Let x be the number of days and y represent miles driven.

Since it costs 25 per day, you multiply 25 by x.
25x

10 cents (otherwise known as .1 dollars) per mile, multiply .1 times y. Now add the two.
.1y

25x+.1y

The answer is a.) 25x + 0.1y.

A hat costs $25. Tax is 8%. How much is the tax on the hat?

Answers

I'm pretty sure 8% tax would be equivilant too 27

$25.00 * 0.08 = 2

There you go sales tax is 2.00 :)

Write an equation of the line that passes through (4, –3) and is perpendicular to the graph of y=3/7x-5

Answers

Answer:

Parallel lines have the same slope, so any line parallel to y = 7x - 3 will have slope 7. If your y intercept is 5, the line must go through (0,5), giving you y = 7x + 5.

Step-by-step explanation:

Please help! Correct answer only! I need to finish this assignment before tomorrow.In a raffle, one ticket out of 500 will win a $390 prize, three tickets will win a $230 prize, and sixteen tickets will win a $170 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?

Answers

Answer: $7.60

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Work Shown:

1/500 = 0.002 is the probability of winning $390

3/500 = 0.006 is the probability of winning $230

16/500 = 0.032 is the probability of winning $170

Multiply the probabilities with their respective winnings

0.002*390 = 0.78

0.006*230 = 1.38

0.032*170 = 5.44

Then add up those results

0.78+1.38+5.44 = 7.60

which is the expected value.

Side note: This game is not a fair game because mathematically a "fair game" is defined as such where the expected value is 0; ie, neither the player nor the dealer win and things break even.

Can you use the sss postulate or the sas postulate to prove ABC and AED are congruent ?

Answers

Answer:

Neither SSS nor SAS apply.

Step-by-step explanation:

SSS (Side-Side-Side)-

If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

SAS (Side-Angle-Side)-

If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.

It given in the picture that,

AC = AD (Side)
BC = DE (Side)
m∠BAC = m∠EAD (Angle)

So, ΔABC and ΔAED will not be congruent by either SSS or SAS.

If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?g(x) = (x + 9)^2
g(x) = (x + 5)^2
g(x) = (x − 9)^2
g(x) = (x − 5)^2

Answers

f(x) = (x+7)²
(x+7)(x+7) = x(x+7)+7(x+7) = x² + 7x + 7x + 49 = x² + 14x + 49

(x+9)² = (x+9)(x+9) = x(x+9)+9(x+9) = x² + 9x + 9x + 81 = x² + 18x + 81
(x+5)² = (x+5)(x+5) = x(x+5)+5(x+5) = x² + 5x + 5x + 25 = x² + 10x + 25
(x-9)² = (x-9)(x-9) = x(x-9)-9(x-9) = x² - 9x - 9x + 81 = x² - 18x + 81
(x-5)² = (x-5)(x-5) = x(x-5)-5(x-5) = x² - 5x - 5x + 25 = x² - 10x + 25

I think g(x) based on the translation would be g(x) = (x+9)²

The function that is based on the translation is g(x) = (x + 5)^2

How to determine the translation?

The function f(x) is given as:

f(x) = (x + 7)^2

The function f(x) is translated 2 units right to get function g(x)

This means that:

g(x) = f(x - 2)

So, we have:

f(x - 2) = (x -2 + 7)^2

Evaluate

f(x - 2) = (x + 5)^2

This gives

g(x) = (x + 5)^2

Hence, the function that is based on the translation is g(x) = (x + 5)^2