Let f(x) = -20x^2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state it’s domain.

Answer:

look on the graph

Step-by-step explanation:

the solutions are x = -7 and x=4

Answer:

x = -7 ; x=4

Step-by-step explanation:

The easiest way to solve this would be using the quadratic formula, so let's go ahead with that :)

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-28\right)}}{2\cdot 1}\\x=\frac{-3\pm \sqrt{121} }{2} \\\\x=\frac{-3\pm 11}{2} \\\\x=\frac{-3-11}{2} , x=\frac{-3+11}{2} \\x=-7, x=4[/tex]

Step-by-step explanation:

A whole number that is not able to be divided by two into two equal whole numbers. Example: 1, 3, 5, and 7 are odd numbers

Answer:

B

Step-by-step explanation:

Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )

We are given that angle MOK and angle JOM are supplementary

Supplementary angles add up to 180

This means that:

angle MOK + angle JOM = 180

If angle JOM = angle LOK

Then angle MOK + angle LOK also = 180

If angle MOK = 66 and angle LOK = x + 64

Then 66 + x + 64 = 180

Note that we've just created an equation that we can use to solve for x

We now solve for x

66 + x + 64 = 180

Combine like terms

66 + 64 = 130

130 + x = 180

Subtract 130 from both sides

x = 50

We also want to find the measure of angle LOK.

To do so we simply plug in the value of x into x + 64

angle LOK = x + 64

x = 50

angle LOK = 50 + 64 = 114

So x = 50 and angle LOK = 114

Hence the answer is B

Answer:

y + 8 = -4 (x + 6)

Step-by-step explanation:

y + 8 = -4 (x + 6)

Answer:

Step-by-step explanation:

The general equation for a parabola is y=4(x^2). The given eqn is y=x^2.

The equation resembles a parabola.

So clearly the answer is either B or C.

Now substitute some values. The value of y can't be negative because x^2 will always be positive.

The answer is B.

Answer:

the cost continues to increase

Step-by-step explanation:

the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.

To determine what happens to the cost (C) as t approaches 100%, we can take the limit of the cost function as t approaches 100.

The cost function is given as: [tex]\[ C = \frac{55,000t}{100 - t} \][/tex]

Now, let's find the limit of C as t approaches 100:[tex]\[ \lim_{{t \to 100}} C = \lim_{{t \to 100}} \frac{55,000t}{100 - t} \][/tex]

To find this limit, we can use direct substitution:[tex]\[ \lim_{{t \to 100}} \frac{55,000 \times 100}{100 - 100} = \lim_{{t \to 100}} \frac{5,500,000}{0} \][/tex]

Since the denominator approaches 0 as t approaches 100, the limit is undefined (infinite).

Therefore, the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.

To know more about infinity:

https://brainly.com/question/31331496

#SPJ3

Answer:

Step-by-step explanation:

E ⊂ F ⊂ G

Answer: 7d

Step-by-step explanation:

Answer: B. 3x (1 - 3x²)

Step-by-step explanation:

Given

[tex]\frac{9x^4-27x^6}{3x^3}[/tex]

Factorize the numerator

=[tex]\frac{3x^3*3x-3x^3*9x^3}{3x^3}[/tex]

=[tex]\frac{9x^4(3x-9x^3)}{3x^3}[/tex]

Cancel terms in numerator and denominator

=[tex]\frac{3x(1-3x^2)}{1}[/tex]

=[tex]\boxed {3x(1-3x^2)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

75

Step-by-step explanation:

Let's say the unknown number is x

x/5 = 15

x = 15*5

x = 75

Answer:

12 ÷ 3.60 = 3.33¢

Step-by-step explanation:

$3.33 per ounce

The can contains 15.7 g of sugar per 100 mL. So if the can holds 330 mL of soft drink, then overall it contains

(15.7 g) / (100 mL) × (330 mL) = 51.81 g

of sugar, and this is

(51.81 g) / (90 g) ≈ 0.575667 ≈ 57.6%

so Tom's friend is correct.

The probability of picking a dime from the coins in his pocket is 1/13

1 penny = 1 cent

Hence, 100 pennies = $1

1 nickel = 5 cent

20 nickels = $1

1 dime = 10 cent

10 dime = $1

This means that :

Eduardo has :

Total coins = (100 + 20 + 10) = 130 coins

Recall :

Probability = required outcome / Total possible outcomes

P(dime) = number of dimes / total coins

P(dime) = 10 / 130 = 1/13

Hence, the probability of picking a dime = 1/13

Learn more : https://brainly.com/question/18153040

Answer:

3+16 divided by 4 is 4.75

4×7-2×6..... is5.33

168

393/1000. i think, sorry. :c

Answer:

8 is 7 less than 15

Answer:

13.2cm

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

1. 3x-9+2y

2. 7x+6

Step-by-step explanation:

1. 2x + (x - 4) + (2y - 5)

  2x+x-4+2y-5

  3x-9+2y

2. 3(x - 2) + 4(x + 3)

  3x+4x-6+12

  7x+6

Answer:

1. 3x - 9 + 2y               2. 7x + 6

Step-by-step explanation:

1.

2x + (x - 4) + (2y - 5) =

3x - 9 + 2y

2.

3(x - 2) + 4(x + 3) =

3x - 6 + 4x + 12 =

7x + 6

Answer:

I proved

Z=v

Step-by-step explanation:

Its my choice

Answer:

answer is in attachment

Answer:

4x - 3x - 2y -y +7 + 5

Step-by-step explanation:

4x-3x =x

-2y-y = (-3y)

7+5 = 12

x-3y+12

Answer:  12 units

Replace "units" with "feet", "meters", etc. if your teacher instructs it.

==============================================================

Explanation:

M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.

So,

LM = MN

3x = 2x+2

3x-2x = 2

x = 2

Use this x value to then say

Segments LM and MN are 6 units each.

From that, we know,

LN = LM+MN = 6+6 = 12

The distance from your house to your friends house is 12 units.

Answer:

A  B  C

Step-by-step explanation:

A: you multiplied by 10

B: you divided by 12 and put -6x on the right.

C works. You divided by 6

D is wrong 6x  should be minus

E is incorrect. You divided x by 72 You didn't do that to the others.

F is incorrect. I'm not sure what you did, but whatever it was wouldn't leave 7x.

G is wrong. Something happened to the y.

Answer:

consider the point A(-2,0) B(2,1) and C(1-3)

Step-by-step explanation:

determine if the triengle ABC is equilateral isoscles or scalence

Answer:

n=1

Step-by-step explanation:

(√5^5)^5 =5^n

5^1/5×5=5^n

1/5×5=n

5/5=n

n=1

Answer:

MONEY ON MONDAY=36.

MONEY ON TUESDAY =36+20=56

MONEY ON WEDNESDAY =56-19=37

MONEY LEFT ON THURSDAY=37

Hi ;-)

[tex]-10\dfrac{2}{7}:(-4\dfrac{4}{11})=-\dfrac{10\cdot7+2}{7}:(-\dfrac{4\cdot11+4}{11})=\\\\\\=-\dfrac{70+2}{7}:(-\dfrac{44+4}{11})=-\dfrac{72}{7}:(-\dfrac{48}{11})=-\dfrac{72}{7}\cdot(-\dfrac{11}{48})=\dfrac{99}{42}=\boxed{2\frac{15}{42}}[/tex]

A = {0, 1}

B = {2, 3, 4}

C = {3, 5}

Then we have

A × (B U C)

= {0, 1} × {2, 3, 4, 5}

= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}

and

(A × B) U (A × C)

= {{0, 2}, {0, 3}, {0, 4}, {1, 2}, {1, 3}, {1, 4}} U {{0, 3}, {0, 5}, {1, 3}, {1, 5}}

(underlined pairs are duplicates and common to both A × B and A × C)

= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}

and these two sets are clearly identical.