Solve for x. Enter the solutions from least to greatest.
6x^2 – 30x – 84 = 0

Answer:

36 pizzas

4 cases of sauce and 3 cases of cheese.

Step-by-step explanation:

In order to solve this problem, we need to find the least common multiple of both of these numbers. We do this by simply multiplying these numbers by each factor of 1 until an equal value is an output. Like so...

9*1 = 9                    12*1 = 12

9*2 = 18                  12*2 = 24

9*3 = 27                  12*3 = 36

9*4 = 36

We can now see that the fewest number of pizzas we can make without having anything left over is 36 pizzas. To do this we would need 4 cases of sauce and 3 cases of cheese.

Answer:

y=-1/2x+3/4

Step-by-step explanation:

just divide the entire equation by 4, so that y is isolated.

The standard form equation of a line is y=mx+b

Answer:

50%

Step-by-step explanation:

Answer:

42%

Step-by-step explanation:

The best way to start is to work with common units. In this case, seconds are best.

1 minute = 60 seconds

50 minutes = (60 x 50) = 3000 seconds

3000 + 18 = 3018 seconds

This is our first variable.

1 hour = 3600 seconds(if you change to mins then to seconds is fine too)

2 hours = (3600 x 2) = 7200 seconds

From the question, we can tell;

2 hours = 100%

So we need to find out, 50 minutes 18 seconds = x%

( x is our unknown)

7200 seconds = 100%

3018 seconds = ((3018 x 100) ÷ 7200)

41.916 %

Let's round of to the nearest 1

42% (since 9 is higher than 5, we add 1 to the number before it)

Answer:

Step-by-step explanation:

1.

-5 is the slope

-4 is the y intercept i know ur gonna be like its not negative but it is trust me

2.  y intercept is 4

slope is 3

3. the y intercept is 3

the slope is 3/2

I cant do four but there are these

When we differentiate the function y = f(x) with respect to x, we obtain dy/dx = 10x - 6. The differential of the function is then expressed as dy = (10x - 6)dx.

Let's go through the steps in more detail:

Start with the equation y = f(x).

To find the differential, we differentiate both sides of the equation with respect to x, which gives us dy/dx on the left side and d/dx (5x^2 - 6x) on the right side.

Applying the power rule of differentiation, the derivative of 5x^2 with respect to x is 10x. The derivative of -6x with respect to x is -6.

Combining these derivatives, we get dy/dx = 10x - 6.

The differential of the function is represented as dy = (10x - 6)dx, where dx represents a small change in the x-value and dy represents the corresponding small change in the y-value.

In summary, when we differentiate the function y = f(x) with respect to x, we obtain dy/dx = 10x - 6. The differential of the function is then expressed as dy = (10x - 6)dx.

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Answer:

612

Step-by-step explanation:

take 153 and  2 and divide

153/2=76.5

This answer is your rate in mph, so now take this and multiply by hours given  

76.5*8=612 use a calculator.

Answer:

5.5

Step-by-step explanation:

Add the two then divide by 2

7.5 +3.5= 11

11÷2= 5.5

Answer:

(f-g)(x)=x+14

Step-by-step explanation:

Operations with Functions

Given two functions f(x) and g(x), the following operations are defined:

(f+g)(x)=f(x)+g(x)

(f-g)(x)=f(x)-g(x)

(f*g)(x)=f(x)*g(x)

(f/g)(x)=f(x)/g(x)

We have f(x)=3x+10 and g(x)=2x-4. Use the second formula to find

(f-g)(x)=(3x+10)-(2x-4)

Operating:

(f-g)(x)=3x+10-2x+4

Joining like terms:

(f-g)(x)=x+14

a. The probability that the customer ordered dessert is approximately 0.1732. b. The probability that the customer came for lunch or ordered dessert is approximately 0.4252.

(a) The total number of customers who ordered dessert is 7 + 15 = 22. The total number of customers is 127. So the probability that the customer ordered dessert is:

P(dessert) = 22/127

P(dessert) ≈ 0.1732

(b) The number of customers who came for lunch or ordered dessert is 7 + 32 + 15 = 54. The total number of customers is 127. So the probability that the customer came for lunch or ordered dessert is:

P(lunch or dessert) = 54/127

P(lunch or dessert) ≈ 0.4252

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Answer:

Yes, it equals 0.

Step-by-step explanation:

12+-8=3(x+4)

12+-8x=3x+12

-8x+12=3x+12

-8x+12-3x=3x+12-3x

-11x+12=12

-11x+12-12=12-12

-11x=0

-11x/-11=0/-11

x=0

rAnswer:

50%

Step-by-step explanation:

7 nurses

3 doctors

4 offices

14 in total

7/14 or 50% is the probability

The probability that three nurses are selected is 7/14.

Probability refers to a possibility that deals with the occurrence of random events.

From the information, the total outcome if nurses are randomly selected is expressed as:

Total outcome = 7 + 4 + 3 = 14 outcomes

In order to get the probability that three nurses are selected, the expected outcome is 7;

P = 7/14

Hence the probability that three nurses are selected is 7/14.

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Answer:

B

Step-by-step explanation:

In the equation it states there is a one-time fee charge so we would add this when writing it in an expression. Since the expressions is: T = 15n + 12; and the only number being added is 12, we can assume the number 12 represents the service fee cost.

Answer:

-299

Step-by-step explanation:

Answer:

angles 2 and 8; then angles 8 and 6

Step-by-step explanation:

Angles 2 and 8 are corresponding angles and are congruent.

Angles 8 and 6 are alternate interior angles and are congruent.

Answer: angles 2 and 8; then angles 8 and 6

Answer:

air is a type of oxegen that we breath

Step-by-step explanation:

we get air from trees .

Answer:

x = -1

Step-by-step explanation:

Answer:

[tex]\boxed {x = -1}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]3x - \frac{8}{2} = x - 6[/tex]

-Divide [tex]8[/tex] by [tex]4[/tex]:

[tex]3x - \frac{8}{2} = x - 6[/tex]

[tex]3x - 4 = x - 6[/tex]

-Take [tex]x[/tex] and subtract it from [tex]3x[/tex]:

[tex]3x - 4 - x = x - x - 6[/tex]

[tex]2x - 4 = -6[/tex]

-Add [tex]4[/tex] to both sides:

[tex]2x - 4 + 4 = -6 + 4[/tex]

[tex]2x = -2[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} = \frac{-2}{2}[/tex]

[tex]\boxed {x = -1}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-1[/tex].

Answer:

6x+9

Step-by-step explanation:

Answer:

5 times

Step-by-step explanation:

Assume the height of the streetlamp to be x

If you make a diagram from the details given by the question you should find two pairs of similar sides, from which you can form the equation

[tex]\frac{x}{6} = \frac{20+5}{5}[/tex]

Solving this gives the height of the streetlamp as 30 feet. Divide this length by the height of the man to get the number of times the streetlamp is taller.

Answer:

0.0016

Step-by-step explanation:

calculator was used

Answer: not simplified   -4      simplified  1/5^4

Step-by-step explanation:

The equilibrium quantity is 120 units. The quantity supplied (Qs) equal to the quantity demanded (Qd) and solve for the value of Q.

To find the equilibrium quantity, we need to set the quantity supplied (Qs) equal to the quantity demanded (Qd) and solve for the value of Q.

Given:

Qs = -20 + 10p

Qd = 400 - 20p

Setting Qs equal to Qd:

-20 + 10p = 400 - 20p

Let's solve this equation for p:

10p + 20p = 400 + 20

30p = 420

p = 420/30

p = 14

Now that we have the value of p, we can substitute it back into either the Qs or Qd equation to find the equilibrium quantity.

Using Qd = 400 - 20p:

Qd = 400 - 20(14)

Qd = 400 - 280

Qd = 120

Therefore, the equilibrium quantity is 120 units.

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Answer:

Step-by-step explanation:

a. x=11 1/3

b. x=4

c. x=2

d. x=7

Answer:

Each kid will get 2.5 submarine sandwiches

Step-by-step explanation:

answer:

4/63

steps:

5/9 x 4/7=20/63

20/63 x 1/5=4/63

The probabilities are

a. P(X=0) = 0.3277

b. P(X=8) = 0.00195

c. P(X=7) = 0.2228

d. P(X=3) = 0.4095

To determine the probabilities for the given scenarios, we can use the binomial probability formula:

P(X = k) = (n C k) * π^k * (1 - π)^(n - k)

where:

P(X = k) represents the probability of getting exactly k successes,

n is the number of trials,

π is the probability of success in a single trial,

(n C k) represents the combination of n items taken k at a time.

a. For n = 5 and π = 0.19, to find P(X = 0):

P(X = 0) = (5 C 0) * 0.19^0 * (1 - 0.19)^(5 - 0)

        = 1 * 1 * 0.81^5

        ≈ 0.3277

Rounded to four decimal places, P(X = 0) is approximately 0.3277.

b. For n = 9 and π = 0.50, to find P(X = 8):

P(X = 8) = (9 C 8) * 0.50^8 * (1 - 0.50)^(9 - 8)

        = 9 * 0.50^8 * 0.50^1

        = 9 * 0.50^9

        ≈ 0.00195

Rounded to four decimal places, P(X = 8) is approximately 0.00195.

c. For n = 9 and π = 0.40, to find P(X = 7):

P(X = 7) = (9 C 7) * 0.40^7 * (1 - 0.40)^(9 - 7)

        = 36 * 0.40^7 * 0.60^2

        ≈ 0.2228

Rounded to four decimal places, P(X = 7) is approximately 0.2228.

d. For n = 4 and π = 0.85, to find P(X = 3):

P(X = 3) = (4 C 3) * 0.85^3 * (1 - 0.85)^(4 - 3)

        = 4 * 0.85^3 * 0.15^1

        ≈ 0.4095

Rounded to four decimal places, P(X = 3) is approximately 0.4095.

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Answer:

The perimeter of Chen's office is 46.6 feet.

Step-by-step explanation:

Since the perimeter P = 2l + 2w where l = length of Chen's office and w = width of Chen's office.

Now, since length of Chen's office = l = 15.5 feet and width of Chen's office = w = 7.8 feet, we substitute these values into the equation for the perimeter.

Substituting these values of length and width, we have

P = 2l + 2w

P = 2(15.5) + 2(7.8)

P = 31 + 15.6

P = 46.6 feet

So, the perimeter of Chen's office is 46.6 feet.

Answer:

y≤-7 or y≥-7

Step-by-step explanation:

It will depend on the shading of the graph but this graph is not shaded so either one of them will be your answer.

Answer:

•y=m(35+0.75)

•15(0.20×)

Answer:

-187

Step-by-step explanation:

2*2-45+2-4*37

(multiply)

4-45+2-148

(calculate)

-187