ng 20-21
POSSIBLE POINTS: 10
In the school store, you can buy 20 calculators for $120. You want to buy 5 calculators. The table below represents the cost of different numbers of
calculators. Complete the table and explain the mathematical process you used to determine the cost of 5 calculators.

Answer:

You would either need to complete the square, use the quadratic equation, or another method because when reduced by the common factor, the constant term c is prime which means that it is only divisible by one and itself. Because the possible rational factors determined by c do not add up to the b term, it cannot be factored.

Explanation:

3x² + 24x - 15 = 0

3(x² + 8x - 5) = 0

[find the greatest common factor between each term and move the coefficient outside of the expression; in this case it's 3 since 3 fits into numbers 3, 24, and -15 so that it cannot be reduced further]

Then you can either use the box or pq method (since a is 1) to find working factors.

x² + bx + c → (x + p)(x + q).

p + q = b.

pq = c.

In this case with 3(x² + 8x - 5), b is 8 and c is -5.

This means we need two numbers that add up to 8 and multiply to -5.

Since -5 is prime, our only options are ±1 for p and ∓5 for q. This is because these are the only factors which multiply to -5.

1 + -5 = -4 ≠ 8

-1 + 5 = 4 ≠ 8.

Since we cannot find rational solutions, this cannot be factored, and so we must use another method.

Answer:

[tex]\%Rate = 0.0142\%[/tex]

Step-by-step explanation:

Given

[tex]Population = 183000[/tex]

[tex]New\ Cases = 26[/tex]

[tex]Active\ Cases = 264[/tex]

Required

The incidence rate

This is calculated as:

[tex]\%Rate = \frac{New\ Cases}{Population} * 100\%[/tex]

[tex]\%Rate = \frac{26}{183000} * 100\%[/tex]

[tex]\%Rate = 0.0001420765 * 100\%[/tex]

[tex]\%Rate = 0.01420765\%[/tex]

[tex]\%Rate = 0.0142\%[/tex] --- approximated

Hence, the incidence rate is 0.0142%

Answer:

D

Step-by-step explanation:

You can see that the hanger is perfectly balanced

So that means that:

5 ones = 2 x's

So:

1+1+1+1+1=x+x

simplified

2x=5

D

Answer:

Step-by-step explanation:

For this triangle, since the angle is included between 2 given sides, the formula will be:

[tex]A =\frac{1}{2}ab*ac*sin(angleA)[/tex]

Putting values where they belong:

[tex]A=\frac{1}{2}(10)(12)sin72[/tex]

Do all that in your calculator (in degree mode, NOT radian!) to get

A = 57.1 square cm

Answer:

A' = (4, 4)

B' = (12, 4)

C' = (4, 10)

Step-by-step explanation:

Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.

A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4

A' = (4, 4)

B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4

B' = (12, 4)

C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10

C' = (4, 10)

Hope this helps and stay safe, happy, and healthy, thank you :) !!

[tex]\huge\mathfrak\orange{answer}[/tex]

Simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.

[tex]f(x) = \red{-4(x+7)^2 - 6}[/tex]

[tex]f(x) = -4(x^2 + 14x + 49) - 6[/tex]

[tex]f(x) = -4x² - 64x - 196 - 6[/tex]

[tex]\underline{f(x) = -4x² - 64x - 202}[/tex]

(good luck :) and mark me brainliest if you're satisfied with my answer)

Answer: 61.5

Step-by-step explanation: gave up on deltamath

Answer:

1. 4m + 3

2. -1.7x - 3

Answer:

5+n(-4)

Step-by-step explanation:

this is the equation if that helps??

Answer:

5*N-4 five times a number n minus four

Answer:

c(t)=90+90×0,04t

c(t)=3,6t + 90

Answer:

The answer is 60 minutes.

Step-by-step explanation:

12 * 5 = 60

15 * 4 = 60

10 * 6 = 60

Answer:

24

Step-by-step explanation:

3 inches / 1.25 miles = x inches / 10 miles

x = 24 inches

Answer:

24 inches

Step-by-step explanation:

create a proportion of inches/miles = inches/miles

let x = # inches in 10 miles

3 / 1.25 = x / 10

cross-multiply:

1.25x = 30

x = 30/1.25

x = 24

Answer:

E

Step-by-step explanation:

5x2( 2x + 7 ) − 2( 2x + 7 ) that's it.

Answer:

b

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

Answer:

I don't have a clue

Step-by-step explanation:

Given:

In circle P, m∠ADB is 25°.

To find:

The m∠APB.

Solution:

Central angle theorem: According to this theorem, the central angle of an arc is twice of inscribed angle of the same arc.

From the given figure it is clear that the ∠APB is the central angle and ∠ADB is the inscribed angle on the arc AB.

By using the central angle theorem, we get

[tex]m\angle APB=2\times m\angle ADB[/tex]

[tex]m\angle APB=2\times (25^\circ)[/tex]

[tex]m\angle APB=50^\circ[/tex]

Therefore, the correct option is D.

Answer:

15

Step-by-step explanation:

Answer:

2/5×$35 = 2/1×$7 = 2×7 = $14

Answer:

465

Step-by-step explanation:

If a classroom averages 31 desks (62/2=31) for 1 classroom, 31 multiplied by 15 is 465

Answer:18300

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

45 points for a free movie - 25 points = 20 remaining points needed

20 / 2.5 = 8

She would need 8 visits to earn a free movie ticket.

Answer:

8

Step-by-step explanation:

25+2.5x=45

subtract 25 from each side

2.5x=20

divide both sides by 2.5

x=8

Answer:

use the formula and evaluate the givens

Step-by-step explanation:

336=(14/11)^2 * 22/7*h

336=196/121 * 22/7h

336= 4312/847h

336= 5.09h

h=66

Answer:

a) This integral can be evaluated using the basic integration rules. [tex]\int 11x^{4}dx = \frac{11}{5} x^{5}+C[/tex]

b) This integral can be evaluated using the basic integration rules. [tex]\int 8x^{1}x^{4}dx=\frac{4}{3}x^{6}+C[/tex]

c) This integral can be evaluated using the basic integration rules. [tex]\int 3x^{31}x^{4}dx=\frac{x^{36}}{12}+C[/tex]

Step-by-step explanation:

a) [tex]\int 11x^{4}dx[/tex]

In order to solve this problem, we can directly make use of the power rule of integration, which looks like this:

[tex]\int kx^{n}=k\frac{x^{n+1}}{n+1}+C[/tex]

so in this case we would get:

[tex]\int 11x^{4}dx=11 \frac{x^{4+1}}{4+1}+C[/tex]

[tex]\int 11x^{4}dx=11 \frac{x^{5}}{5}+C[/tex]

b) [tex]\int 8x^{1}x^{4}dx[/tex]

In order to solve this problem we just need to use some algebra to simplify it. By using power rules, we get that:

[tex]\int 8x^{1}x^{4}dx=\int 8x^{1+4}dx=\int 8x^{5}dx[/tex]

So we can now use the power rule of integration:

[tex]\int 8x^{5}dx=\frac{8}{5+1}x^{5+1}+C[/tex]

[tex]\int 8x^{5}dx=\frac{8}{6}x^{6}+C[/tex]

[tex]\int 8x^{5}dx=\frac{4}{3}x^{6}+C[/tex]

c) The same applies to this problem:

[tex]\int 3x^{31}x^{4}dx=\int 3x^{31+4}dx=\int 3x^{35}dx[/tex]

and now we can use the power rule of integration:

[tex]\int 3x^{35}dx=\frac{3x^{35+1}}{35+1}+C[/tex]

[tex]\int 3x^{35}dx=\frac{3x^{36}}{36}+C[/tex]

[tex]\int 3x^{35}dx=\frac{x^{36}}{12}+C[/tex]

Answer:

y' = 9x^2 + 8x^-5

Step-by-step explanation:

General Principle

y' = ax^b

y' = a*b * x^(b-1)

Solution

3x^3 = 3*3x^(3-1)

3x^3 = 9x^2

-2x^-4  = -2*-4 x ^(-4 - 1)

-2x^-4 = 8 x ^-5

Answer

y' = 9x^2 + 8x^-5

Answer:

Meghan is correct, y=8

Step-by-step explanation:

8/2 = 4, 2/2 doesn't equal 4. When writing this algebraically, you would multiply 2 to leave the y alone. What happens to one side has to happen to the other, so you would multiply 4 by 2. You're left with y=8

Answer:

wanted my points

Step-by-step explanation:

Answer: x = 32

Step-by-step explanation:

Triangle angle sum theory states that the interior angles of a triangle sum to 180. Add all three angles up and set equal to 180 to solve.

33+ 37 + (3x+14) = 180. Combine like terms

84 +3x = 180. Subtract 84 from both sides.

3x = 96. Divide both sides by 3.

X = 32

Answer:

expanded form: 6x6x6x6

answer: 1296

Step-by-step explanation: