Rewrite the function by completing the square.
f(x) = x^2- 2x - 95

Answer:

A.

Step-by-step explanation:

A monomial is an expression in algebra that contains one term, like 3xy. Monomials include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. A polynomial is a sum of monomials where each monomial is called a term.  

Answer:

c

Step-by-step explanation:

Given the2 equations

y = x + 4 → (1)

x + y = 2 → (2)

Substitute y = x + 4 into (2)

x+ x + 4 = 2

2x + 4 = 2 ( subtract 4 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Substitute x = - 1 into (1) for corresponding value of y

y = - 1 + 4 = 3

solution is (- 1, 3 ) → c

The solution is,  14.6° is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet.

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

given that,

a hill whose slope has a length of 345 feet and rises 87 feet

now, we have to find the angle of elevation of a hill.

so, we get,

perpendicular = 87

hypotenuse = 345

let, the angle of elevation is θ.

we have,

sin θ = 87/345

so, we get,

θ = 14.6°

Hence, The solution is,  14.6° is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet.

To learn more about trigonometric relations click :

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Answer:

8.33%

Step-by-step explanation:

We are told to:

Express the first quantity as a percentage of the second

a. 80cents of $9.60

The first quantity is 80 cents, the second quantity is $9.60

Step 1

We convert 80 cents to a dollar

100 cents = $1

80 cents = $x

$x = 80/100 = $0.8

Step 2

We express $0.8 as a percentage of $9.60

Hence, we have:

$0.8/$9.60 × 100

= 8.33%

Answer:

see explanation

Step-by-step explanation:

Writing an expression for the perimeter (P) of the triangle

P = x - 4.5 + x - 4.5 + x - 4.5 ← as a sum

P = 3(x - 4.5) ← as a product

Answer:

The percentage of people who are satisfied with this car model is 30%.

Step-by-step explanation:

Given that the survey interviewed 1,900 people who own a certain type of car, and of them 570 said that they would buy the same car model again, to determine the percentage of people who are satisfied with that model it is necessary to perform the following calculation :

1,900 = 100

570 = X

((570 x 100) / 1,900) = X

57,000 / 1,900 = X

30 = X

Therefore, the percentage of people who are satisfied with this car model is 30%.

Answer:

Same side interior angles theorem

Step-by-step explanation:

 Same-Side Interior Angles Theorem: Sum of the same side of interior angles of parallel lines are supplementary

Answer:

I think it is A

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Fourth choice, 1/6

Step-by-step explanation:

15 + 8 + 10 + 12 + 15 = 60

Out of 60 cards, 10 of them is the go again card, so it's 10/60 which simplified is 1/6

Answer:

30

Step-by-step explanation:

Given

ab=5

a²+b²=25

So

(a+b)²=a²+ab+b²

=a²+b²+ab

=25+5

=30

Answer:

(a + b)² = 35

Step-by-step explanation:

Note the expansion of (a + b)²

(a + b)² = a² + b² + 2ab ← substitute given values

            = 25 + 2(5)

            = 25 + 10

            = 35

Answer:

56mL of oil for every 21mL of vineger

Step-by-step explanation:

56 is a multiple of 8, and 21 is a multiple of 3. 7 times 3 is 21, and 8 times 7 is 56. Hope this helped!

Answer:

155 miles

Step-by-step explanation:

52.95 + 33.75 = 86.7

140.95 - 86.7 = 54.25

54.25 / .35 = 155

155 miles

Answer:

The figure would move 2 units to the left and 4 units up and the image would be congruent.

Step-by-step explanation:

If you transformed a figure using the rule (x-2, y+4).

Then the figure would move 2 units to the left (x-2) and 4 units up (x+4).

Similar figures would have the same shapes but different sizes.

Congruent figures would have the same shapes and same sizes but might be rotated.

Figures can not be both similar and congruent.

Moving the whole shape will not change the size; therefore, the figures would be congruent.

How do I delete stuff-

try (1/2)

Answer:

-1/2........yw

Step-by-step explanation:

Answer:

It might just be me but the pic is super blurry could you possibly get a better one?

Step-by-step explanation:

Answer:

intersecting lines will cross at the point

Answer:

The probability that there is at least one pair but not a three of a kind is 0.6944.

Step-by-step explanation:

We have the case when we have five dices and we roll them and we need  that there is at least one pair but not a three of a king which is Two dice showing the same value, but no three dice showing the value.

Total no of outcomes = [tex]6^5 = 7776[/tex]

We will consider the other cases and then subtract them from the total outcomes.

No of outcomes of 5 of a kind = 6

No of outcomes 4 of a kind and 1 different = (6*5)*5 = 150

No of outcomes with 3 of a kind and 1 different pairs = (6*1*1*5*1)*5C2= 300

No of outcomes with 3 of a kind and two different = 6*5*4*10= 120*10=1200

No of outcomes when all are different = 6! = 720

These all the cases when subtracted from the total will represent the total cases in which there are two dice showing the same value.

Total cases = 6+150+300+1200+720

                   = 2376

Required no of outcomes = 7776-2376 = 5400

Probability = [tex]\frac{5400}{7776}[/tex] = 0.6944

Therefore the probability for the case of at least one pair but not a three of a kind is 0.6944.

Answer:

(14, 4)

Step-by-step explanation:

The question is not well structured and incomplete.

Restructured

Find an ordered pair to represent in the equation vec t = 4 vec u +6 vec v where vec u =(-1,4) and vec v = (3,-2)

Substitute the given vector into the expression for vec t.

Recall that: vec t = 4 vec u +6 vec v

vec t = 4(-1,4)+6(3,-2)

vec t = (4(-1), 4(4)) + (6(3), 6(-2))

vec t = (-4, 16) + (18, -12)

vec t = (-4+18, 16+(-12))

vec t = (14, 16-12)

vec t = (14, 4)

Hence an ordered pair to represent vec t in the equation is (14, 4)

Note that the vec v was assumed. Any other vector coordinate can also be used

Answer: non- proportional

Step-by-step explanation:

doesn't go through (0,0)

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

To find the slope of a line, we would need to use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]. These points can be any two points that fall on the line.

In the graph, two points we can use to find the slope is (1, 2) and (-2, 0).

[tex]\frac{y_2-y_1}{x_2-x_1}\\\\\frac{0-2}{-2-1} \\= \frac{-2}{-3} \\= \frac{2}{3}[/tex]

Therefore, the slope of the line is [tex]\frac{2}{3}[/tex].

I hope this helps!

Answer:

not a function

Step-by-step explanation:

trust

Answer:

$45

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

If they are 25% off, they are now wroth 75% of original price

0.75 * $60 = $45

please give thanks by hitting heart button :)

Answer: h= 6

Step-by-step explanation:

Answer: A. -0.25

Hope it helps :)

Step-by-step explanation:

So since 0.75 and -1.25 are in parenthesis, u have to multiply them.

-1 (0.75 - 1.25) = 0.5

-3/4 - 0.5 = -0.25

So the answer is -0.25

Answer:

the price that Michael charge per pack is $16.01

Step-by-step explanation:

The computation of the price that Michael charge per pack is as follows:

= 124 sports card ÷ 4 cards

= 31 packs

Now the charge per pack would be

= $496.31 ÷ 31 packs

= $16.01

hence, the price that Michael charge per pack is $16.01

The same is to be considered