answer choices
A Function 1
B Function 2
C The Functions have the same Y-intercept

Answer:

seniors: 780

juniors: 1170

sophomores: 975

freshmen: 585

Step-by-step explanation:

4 + 6 + 5 + 3 = 18

3510/18 = 195

195(4) = 780

195(6) = 1170

195(5) = 975

195(3) = 585

Answer:

66 students prefer the zoo

Step-by-step explanation:

I got it correct :)

Answer:(x + 1)(x - 1)(x + 5)(x - 3) is the fully factored form of the polynomial.

The zeros are (-1, 0), (1, 0), (-5, 0), and (3, 0).

x^4 + 2x^3 - 16x^2 - 2x + 15

We can use the rational roots theorem to find some of the possible roots, and after finding just one root, we can simplify this polynomial.

List factors of 15:

1, 3, 5, 15.

List factors of 1:

1.

Our possible rational factors are:

+/- 1, +/- 3, +/- 5, +/- 15.

To find factors, we can use the remainder theorem.

Replace all x values with 1.

1^4 + 2(1)^3 - 16(1)^2 - 2(1) + 15 = 0

Because the answer is zero, it means that 1 is a root.

We can divide this polynomial by x - 1 to find a simplified form.

After dividing, our quotient is: x^3 + 3x^2 - 13x - 15

We can continue finding factors by using the rational roots theorem. Once we have only three terms, we can try to factor using the AC method.

Our next possible root is -1.

(-1)^3 + 3(-1)^2 - 13(-1) - 15 = 0

We know that -1 is also a root, and so we can divide the polynomial by x + 1.

After diving we're left with x^2 + 2x - 15.

Now, we can try to factor using the AC method.

List factors of -15.

1 * -15

-1 * 15

3 * -5

-3 * 5 (these digits satisfy the criteria.)

Split the middle term.

x^2 - 3x + 5x - 15

Factor binomials.

x(x - 3) + 5(x - 3)

Rearrange binomials.

(x + 5)(x - 3)

Add in the two factors we already factored out.

(x - 1)(x + 1)(x + 5)(x - 3)

Step-by-step explanation:

Answer:

-12 is the common differences

9514 1404 393

Answer:

  C  f and g share no roots

Step-by-step explanation:

The roots of a polynomial function are the values of x that make factors of the function be zero.

f(x) = x(x +4). The roots of f are -4 and 0.

g(x) = (1/2)(x+3)(x-4). The roots of g are -3 and 4.

f and g share no roots in common.

Answer:

AB = 5

Step-by-step explanation:

The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be  √3  times as long, and the side opposite the 90 degree angle will be twice as long.

In this case we just divide 10 by 2

Answer:

5 cm

Step-by-step explanation:

Sin 30° = opposite / hypothenus

= AB / 10cm

AB = sin 30° × 10 cm

= 5 cm

Answer:

the awnser is D) $41.25.

Answer:

A) Decreasing

Step-by-step explanation:

By graphing the logarithmic equation, we can see that as the x value increases, the y value decreases. Therefore, we say that the graph is decreasing.

Answer:

decreasing

Step-by-step explanation:

Answer:

H0 : u ≥ 10  against the claim Ha: u < 10

Step-by-step explanation:

The mean breaking strength of a ceramic insulator must be at least 10 psi.

(At least means greater or equal to ). As it is already given in the data the null and alternate hypotheses will be formulated according to it.

H0 : u ≥ 10  against the claim Ha: u < 10

The null hypothesis is the mean breaking strength of a ceramic insulator must be at least 10 psi

and the alternate hypothesis is

the mean breaking strength of a ceramic insulator is less than 10 psi

Answer:

392 ft²

Step-by-step explanation:

The composite figure can be divided into a rectangle, 2 triangles and a square

Area of rectangle = Length * width

Area of rectangle = 21 feets * 14 feets = 294 feet²

Area of triangle = 0.5 * base * height

Area of triangle = 0.5 * 7 * 7 = 24.5

AREA of square = a² = 7² = 49 feets²

Total area :

294 feets + (2 * 24.5) feets² + 49 feets²

294 + 49 + 49 = 392 ft²

Answer: A. -sqrt (3)/2, 1/2

To get from radians to degrees, you replace the pi symbol with 180° and solve

So, (5 • 180) / 6 = 150°

150° makes a 30° angle, as the nearest x axis is the negative x axis at 180°.

As we know, a 30°, 60°, 90° triangle has sides sqrt(3)/2 and 1/2.

Since the 30° angle is on the x axis, sqrt(3)/2 will be the x value and 1/2 will be the y value. And since the triangle is in the negative x, positive y quadrant, 1/2 will be positive and sqrt(3)/2 will be negative. Giving you (-sqrt(3)/2, 1/2)

Answer:

Ans: 9

pls mark as brainliest!!

Step-by-step explanation:

Completing the square is done as follows:

1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.  

x^2 – 6x = 5

2. Make sure that the coefficient of the x^2 term is 1.

x^2 – 6x = 5

3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.

x^2 – 6x + 9 = 5 + 9

(x-3)^2 = 14

Therefore, 9 should be added to both sides to complete the square.

Answer:

there is no attachment to look at

Step-by-step explanation:

Answer:

Angle #1: 115°

Angle #2: 64°

Angle #3: 90°

Angle #4: 106°

Angle #5: 165°

Step-by-step explanation:

you subtract the ones that give you the exterior angle by 180 because it is a supplementary angle. that means that both angles add up to 180. the little square next to angle three means its a right angle. this means it is exactly 90°. the last angle is a little tricky. you need to add up all the angles you have and then you if you get 540 then your answer is correct because all interior angles of a pentagon must add up to 540.

Hope you have a great day and I hope this helped you out!

<3 :- )

Answer:

20 books

Step-by-step explanation:

Height of stack = 35 inches

Thickness of one book [tex] =1\frac{3}{4} =\frac{7}{4}\: in [/tex]

No. of books

[tex] = 35 \div \frac{7}{4} \\ \\ = 35 \times \frac{4}{7} \\ \\ = 5 \times 4 \\ \\ = 20[/tex]

Answer:

9.045 grams

Step-by-step explanation:

You add the 42.68+19.125=61.805

Then take 61.805- 52.76=9.045

The number of grams of mixture that the baker still has is 9.045 grams.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Given that,

A baker mixes 42.68 grams of flour and 19.125 grams of sugar in a bowl.

Total grams of flour and sugar = 42.68 + 19.125 = 61.805 grams

So,

Total weight of the mixture = 61.805 grams

The baker then uses 52.76 grams of the mixture in a cake.

Remaining grams of the mixture = 61.805 grams - 52.76 grams

                                                      = 9.045 grams

Hence the remaining mixture is 9.045 grams.

Learn more about Addition here :

https://brainly.com/question/15379898

#SPJ2

Answer:

There is four boxes I answered this in order

1st box: 3

2nd Box:  7

3rd box: 15

4th box : 19

5th box ; 16

Step-by-step explanation:

This is simple

Answer:

10 1/18

Step-by-step explanation:

3 2/6 + 8 2/9 - 1 1/2 = ?

First, we need to find the common denominator, which I will choose to be 18, which means I will need to convert all the fractions.

3 6/18 + 8 4/18 - 1 9/18 = ?

Now, we solve.

3 6/18 + 8 4/18 - 1 9/18 = 10 1/18

click on pics.........................

Answer:

0.5

50%

1/2

Step-by-step explanation:

Answer:

its c bc it starts at 30

Step-by-step explanation:

Answer:

16 km is the answer

Step-by-step explanation:

a (Colton to parents' house) = 12 km

b = ?

c (parents' house to grandparents' house) = 20 km

According to the Pythagoras theorem,

a² + b² = c²

12² + b² = 20²

144 + b² = 400

b² = 400 - 144

b² = 256

b = 16

∴ Colton is 16 km away from his grandparents' house.

Answer:

6

Step-by-step explanation:

6 times 5 is 30. You would've divided 30 by 5

Answer:

(2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 5y = 9 → (1)

3x + 4y = 2 → (2)

Multiplying (1) by 4 and (2) by 5 and adding the result will eliminate the y- term

8x - 20y = 36 → (3)

15x + 20y = 10 → (4)

Add (3) and (4) term by term to eliminate y

23x + 0 = 46

23x = 46 ( divide both sides by 23 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (2)

3(2) + 4y = 2

6 + 4y = 2 ( subtract 6 from both sides )

4y = - 4 ( divide both sides by 4 )

y = - 1

solution is (2, - 1 )

Answer: the answer is r=7.5%

Step-by-step explanation:

You get the formula A=P(1+nr) where A is the accumulated amount: 5750, P is the principal: 5000, n is the amount of years: 2, and r is the rate: unknown

Now you plug in what you know:

5750=5000(1+2r)

Divide 5000 on both sides

Decimal form: 1.15=1+2r

Subtract -1 on both sides

0.15=2r

And lastly divide by 2 on both sides

0.075=r

BUT WHEN FINDING THE RATE ALWAYS MAKE IT A PERCENTAGE

r=0.075*100=7.5%

Answer:

1, 2, and 6

Step-by-step explanation:

5*.25=1.25 7*.25=1.75 12*.25=3