The graph of a quadratic function with vertex (3,2) is shown in the figure below.
Find the domain and the range.

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Work Shown:

We have a geometric sequence

a = first term = -1

r = common ratio = (second term)/(first term) = 2/(-1) = -2

nth term

a(n) = a*(r)^(n-1)

a(n) = -1*(-2)^(n-1)

Now plug in n = 7 to get the 7th term

a(n) = -1*(-2)^(n-1)

a(7) = -1*(-2)^(7-1)

a(7) = -1*(-2)^6

a(7) = -1*(64)

a(7) = -64

The first seven terms are

-1, 2, -4, 8, -16, 32, -64

To get each new term, we multiply the last term by the common ratio -2

Answer:

x = 2

Step-by-step explanation:

First translate the image into an equation using the key. Once you do that, your equation should look like this:

(x + x + x) + (-1 + -1 + -1 + -1 + -1) = (-x + -x) + (1 + 1 + 1 + 1 + 1)

________________________________

3x - 5 = -2x + 5

(given)

________________________________

3x - 5 = -2x + 5

+5. +5

(addition property of equality)

*cancel out -5 on the left hand side, and isolate it from x by adding +5 on each side*

__________________________

3x = -2x + 10

+2x +2x

(addition property of equality)

*cancel out the negative 2x, and isolate it from the constant term on the right hand side by adding 2x on both sides*

________________________________

5x = 10

÷5. ÷5

(division property of equality)

*divide by 5(GCF) on both sides to isolate

x by itself*

________________________________

x = 2

________________________________

If you want to test this solution, substitute this back into the equation.

x = 2 → 3x - 5 = -2x + 5. 3(2) - 5 = -2(2) + 5 = 6 - 5 = -4 + 5 = 1 = 1

Answer:

Step-by-step explanation:

Answer:

C = 39.58cm

Step-by-step explanation:

2 * 3.14159 * 6.3

6.28318 * 6.3

39.584034

Answer:

see below

Step-by-step explanation:

The perimeter of a circle is called the circumference

C = pi *d

C = pi * 12.6

Using 3.14 as ab approximation for pi

C = 3.14 * 12.6

C =39.564 cm

Using the pi button  for pi

C =39.58406744

Answer:

The answer is 1 to 3.5 I know that's the answer because I looked it up and that looks pretty easy

Answer:

$2.92 per pound

Step-by-step explanation:

$2.92 is per pound

Answer:

-26.1°

Step-by-step explanation:

So when the temperature decreases, you want to get more negative. So -17°-9.1°=-26.1°

Answer:

Step-by-step explanation:

see attached

-2 -7 = -9

Answer:

(x+15)(x+4)

Step-by-step explanation:

Answer:

c. supplementary angles

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

55 + 20 + x = 180

Answer:

3√35

Step-by-step explanation:

since √(ab) = √a·√b you can write √5·√7 as √35

So you have √35 + 2√35 = 3√35

Answer:

axons

Step-by-step explanation:

The axons  is the part of the neuron that carries information away from the cell body.

Answer: axon

Step-by-step explanation:

I just know cause I'm a different breed

Answer:

640 & 400

Step-by-step explanation:

Cost of books: x and 1040-x

x sold at a loss of 15%= .85 x

1040 - x sold at a profit of 36% = (1040 - x) *1.36

x*.85= (1040-x)*1.36

0.85x+1.36x= 1040*1.36

2.21x= 1414.4

x= 1414.4/ 2.21

x= Rs. 640

Rs. 1040 - 640 = 400

Answer:

27 yds^3

Step-by-step explanation:

Answer:

27 cubic yards

Step-by-step explanation:

3 x 3 x 3 = 27

Step-by-step explanation:

12

Answer:

11

Step-by-step explanation:

11+12+13 =36

So  Kate would be 11. Bradley would be 12. And Cameron would be 13

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

znznzmzspmzlsldfpcf

Answer:

The expected number of tests necessary for each group is 7.51.

Step-by-step explanation:

The probability of a person having the disease is, P (X) = 0.10.

Then the probability of a person not having the disease is P (X') = 0.90.

It is provided that if the test is negative, one test will suffice for the 10 people.

Bur if the test is positive, each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.

Compute the expected number of tests necessary for each group as follows:

Expected number of tests = Negative Result × P (X') + Positive Result × P (X)

                                           [tex]=(1\times (0.90)^{10})+(11\times [1-(0.90)^{10}])\\=0.3486784401+7.1645371589\\=7.513215599\\\approx 7.51[/tex]

Thus, the expected number of tests necessary for each group is 7.51.

Answer:

the answer is ... look down below

Step-by-step explanation:

52 divided by 6 equals 8.66

Answer:

0

Step-by-step explanation:

on edge step functions assignment

The value of 8[1/4] is 0, the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The number= 8[1/4]

Now,

To evaluate 8[1/4], we need to use the definition of the square bracket notation. The square bracket notation means to round down to the nearest integer. For example, [3.7] = 3 and [-2.1] = -3.

So, 8[1/4] means to multiply 8 by the integer that is closest to 1/4 but less than or equal to it. The integer that is closest to 1/4 but less than or equal to it is 0. So, 8[1/4] = 8 * 0 = 0.

Therefore, by algebra the answer will be 0.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

Answer:

The umbrella will fit in, but there will be a lot of extra room.

Step-by-step explanation:

Remember the Pythagorean theorem:

x^(2) + y^(2) = n^(2)

where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse

In this problem it is given that the sides (legs) are:

38in, and 24in

and diagonally across is 29in

so the hypotenuse is 29in

therefore we can form the equation:

38^(2) + 24^(2) = 29^(2)

without solving it is clear that

38^(2) + 24^(2) > 29^(2)

because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,

but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room

Answer:

see below

Step-by-step explanation:

The umbrella should fit

The umbrella is the diagonal in a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2

18^2 + 24^2 = c^2

324 + 576 = c^2

900 = c^2

Take the square root of each side

sqrt(900) = sqrt(c^2)

30 =c

As long as the umbrella is less than 30 inches, it should fit

The umbrella is 29 inches so it should fit

Answer && Step-by-step explanation:

We know x is a linear graph which looks something like a diagonal line, coming from the bottom left towards the top right

it will always be negative due to the negative sign being outside the abs val,

and the abs val, making the inside positive.

thus the resulting graph will be inverted from what was previously said

it will now come from the bottom right to the top left (still a diagonal line)

Answer:

a2+b2=c2

Step-by-step explanation:

A right triangle is a triangle in which one of the angles is a 90∘ angle. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

Answer:

Point C

Step-by-step explanation:

Since -0.095 is less negative than -0.1 it will be closer to zero and this number line more towards the right. since each dash in the line represents 0.01 and the difference between -0.1 and -0.095 is only 0.005 it will be really close to -0.01.

Answer:

8.2%

Step-by-step explanation:

9,895x = 809.41

x = 0.08179 or 8.2%

Answer:

8/9 yards

Step-by-step explanation:

Answer:

He computes the mean as $1,022.

Step-by-step explanation:

Answer:

sumthing that we hate doing

Step-by-step explanation:ughhhhhhhhhh

Answer:

887.304, 887.043, 88.403

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