There will be 1,398 students attending the assembly. During the assembly, our principal is going to be passing out 4 pieces of paper to each student. How many pieces of paper will the principal pass out at the assembly? *

Answer:  x= -8  or x = 1/2

Step-by-step explanation:

2x^2 + 15x = 8      Subtract 8 from both sides to let the whole equation equal 0

            - 8     -8

2x^2 + 15x - 8 = 0      Now find two numbers that if you multiply them, their product will be -16 and their sum will be 15. An example is the numbers 16 and -1.     16 times -1 is -16  and 16 plus -1 is 15.

Rewrite the whole equation in this form,

2x^2 +16x - 1x - 8 = 0      Factor on the left side

2x ( x + 8)  -1 (x + 8) = 0     Now factor out x + 8

(x + 8) (2x -1) = 0            Set each expression equal zero, because for the whole expression to equation to 0, either one of them or all of them have to equation zero.

x + 8 = 0        or   2x - 1 = 0  

  -8     -8                     +1  +1

   x = - 8                  2x  = 1

                                 x = 1/2

Answer:

The radius of the clock is 7.72 meters

Step-by-step explanation:

Here, we want to calculate the radius of a clock which has a circumference of 48.5 m

Mathematically;

Circumference C = 2 * pi * r

48.5 = 2 * 22/7 * r

7 * 48.5 = 44r

r = (7 * 48.5)/44

r = 7.72 meters

Answer:

12 is the largest one number of gift bags he can make. Each will have 4 gingerbread cookies and 5 candy canes

Step-by-step explanation:

Step-by-step explanation:

8. You divide each side by 8

9. You multiply each side by 15.2

10. You multiply bith sides by 8. 7

11. You divide both sides by 3.14

Hope this helps, have a wonderful day

Answer:

7 dollars

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

first remove the parentheses

5-4-7+2

then calculate the sum or difference

-4

Answer: The answer (4,3) or x=4 and y=3

Answer:

- 2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 2, - 1 ] , then

f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )

f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus

average rate of change = [tex]\frac{5-7}{-1-(-2)}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

Answer:

The distance of QR is 54 units

Step-by-step explanation:

In the isosceles triangle, The height drawn from the vertex angle to the base bisects the base

In ΔPQR

∵ PQ = PR

∴ Δ PQR is an isosceles triangle

∵ P is the vertex angle

∵ QR is the base

∵ PS ⊥ QR

→ By using the fact above

∴ PS bisects QR

∴ S is the midpoint of QR

→ That means S divided QR into 2 equal parts QS and SR

∵ QS = SR

∵ QS = 6n + 3

∵ SR = 4n + 11

→ Equate them to find n

∴ 6n + 3 = 4n + 11

→ Subtract 4 n from both sides

∵ 6n - 4n + 3 = 4n - 4n + 11

∴ 2n + 3 = 11

→ Subtract 3 from both sides

∵ 2n + 3 - 3 = 11 - 3

∴ 2n = 8

→ Divide both sides by 2

∴ n = 4

→ Find the length of QS by substitute x in its expression by 4

∵ QS = 6(4) + 3 = 24 + 3

∴ QS = 27

∵ QS = SR

∴ SR = 27

∵ QR = QS + SR

∴ QR = 27 + 27

∴ QR = 54 units

∴ The distance of QR is 54 units

Answer:

y intercept: (0,-5)

Step-by-step explanation:

The third one is correct

Answer:

problem #2:

y - 4 = 2 ( x + 1) , y - 1 = -1/3x ( x - 2)

problem #3:

slope: 2/3  point: -2, 4

slope: -3  point: -5, -1

Step-by-step explanation:

good luck!

Answer:

Angle C = 41°

Step-by-step explanation:

Given:

Angle C = (3x + 11) degree

Angle T = (3x + 11) degree

Angle A = (9x + 8) degree

Find:

Angle C

Computation:

Using angle sum property

(3x + 11) + (3x + 11) + (9x + 8) = 180

15x + 30 = 180

x = 10

So,

Angle C = (3x + 11) degree

Angle C = 3(10) + 11

Angle C = 41°

The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)

We are given the vertices of Triangle CDE as;

C(-2,-2), D(1,-4), and E(-3,-4).

Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.

However, we are told that it is centered about the point (-1.-3).

Thus;

Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.

Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)

Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)

Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)

B) Reflection in the line y = -x gives;

C'(2, -2), D(-1, 4), and E(3, 4)

Read more about Objects Transformation at; https://brainly.com/question/3457976

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Answer: f(x) = -cos(x) + 4.584

Step-by-step explanation:

we know that f'(x) = sin(x)

if we integrate that, we get:

f(x) = -cos(x) + C

Where C is a constant of integration.

And we also want that:

f(2) = 5

with that relationship we can find the value of C.

f(2) = 5 =  -cos(2) + C

(The calculation is done in radians)

        5 = -(-0.416) + C

       5 - 0.416 = C = 4.584

Then the function is:

f(x) = -cos(x) + 4.584

Answer:

One way that a cell maintains homeostasis is by controlling the movement of substances across the cell membrane. Cells are suspended in a fluid environment.

Answer:2:5

Step-by-step explanation: you have 2 red marbles which is the numerator and 5 as the denominator because it is the bigger number .

Answer:

2 and x are the factors of 2

Step-by-step explanation:

Answer:

y + 2x - 3 = 0

Step-by-step explanation:

You should learn the topic.

Answer:

2x+y-3=0

Step-by-step explanation:

The standard form is a representation of equations that start from the variable term towards the constant term, generally leaving the RHS empty.

Here,

[tex]y=-2x+3\\y+2x=3\\y+2x-3=0\\2x+y-3=0[/tex]

Answer:

(8,9)

Step-by-step explanation:

The biggest number minus the smallest number.

Answer:

M=10

N=5

Q=2

Step-by-step explanation:

if you look at the equation it says

M+M+M=30

Since there's 3 M's you can combine it and make it into 3M=30.

you could then divide 30 by 3 in order to get M by itself and you would get M=10.

Hope this helped :)

Answer:

13

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} } \\d=\sqrt{(-9--4)^{2} +(6--6)^{2} } \\d=\sqrt{25 +144}\\d=\sqrt{169}\\d=13[/tex]

Answer:

Please check the explanation.

Step-by-step explanation:

Writing this relation in set notation using curly braces:

{(1, 3), (2, 5), (3, -1), (4, 0), (5, 6)}

The relation clearly indicates that each input is related to exactly one output. In other words, there is no repetition of 'x' values.

Hence, this relation is a function.

We know that the domain is the set of all x values.

Thus, the domain is: {1, 2, 3, 4, 5}

We know that the domain is the set of all y values.

Thus, the range is: {-1, 0, 3, 5, 6}

Answer:

The rope is 94.65 feet.

Step-by-step explanation: