Factor the expression 15x-^2-10x-5

Answers

Answer 1

Answer: $15x^2-10x-5=0\n \n a=15, \ \ b=-10 \ \ c=-5\n \n \Delta = b^(2)-4ac = (-10)^(2)-4* 15* (-5)= 100+300=400\n \nx_(1)=(-b-√(\Delta ))/(2a) =(10- √(400))/(2*15)=(10-20)/(30)= (-10)/(30)=-(1)/(3)\n \nx_(2)=(-b+√(\Delta ))/(2a) =(10+ √(400))/(2*15)=(10+20)/(30)= (30)/(30)=1 \n \n \ 15x^2-10x-5=15(x+ (1)/(3))(x-1)= (15x+ (1)/(3)*15)(x-1)=(15x+5)(x-1)\n \n Answer :15x^2-10x-5 =(15x+5)(x-1)$

Answer 2

Answer: 15x^2 - 10x - 5
(3x + 1) (5x - 5)

If it tells you to solve it, set each part in parentheses and solve. What you end up will be your 2 final answers.

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If x = 3 units, y = 13 units, and h = 7 units, then what is the area of the trapezoid shown above?

Answers

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To break even in a manufacturing business, income or revenue R must equal the cost of production C. The revenue R from selling x number of computer boards is given by R=40x, and the cost C of producing them is given by C=30x+1000. Find how many boards must be sold to break even. Find how much money is needed to produce the break-even number of boards.

Answers

Answer:

To find the number of boards that must be sold to break even, we need to set the revenue equal to the cost and solve for x.

Given:

Revenue R = 40x

Cost C = 30x + 1000

Since the break-even point is when revenue equals cost, we have the equation:

40x = 30x + 1000

To solve for x, we subtract 30x from both sides of the equation:

40x - 30x = 30x + 1000 - 30x

Simplifying:

10x = 1000

Dividing both sides by 10:

x = 100

Therefore, to break even, 100 computer boards must be sold.

To find the amount of money needed to produce the break-even number of boards, we substitute the value of x into the cost equation:

C = 30x + 1000

C = 30 * 100 + 1000

C = 3000 + 1000

C = 4000

Therefore, $4000 is needed to produce the break-even number of boards.

Step-by-step explanation:

Mike bought a lunch that cost $9.00. He also paid 5% for sales tax.How much change did he receive from $20.00?

Answers

Answer:

$10.55

Step-by-step explanation:

First, add 5% of 9 to nine.

5% of 9 :.45

.45+9=9.45

So, then, subtract 9.45 from 20, which leads to 10.55 as your answer

Someone please help
Please find the value of G
3g=6g-7
Any help appreciated

Answers

Subtract 6g from both sides.
-3g = -7
Divide both sites with 3.
-g = -7/3
Multiply both sides with -1
g = 7/3

The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school chili cook off contest.All the pans of cornbread are square.A pan of cornbread cost $12.The costumers can buy and fractional part of a pan of cornbread and pay that fraction of $12.For example, 1/2 of a full pan cost 1/2 of $12.What questions or question do you think could be part of this problem?

What operation do you think you would use to solve this problem?why?

Answers

A possible question could be: Maria only wants 1/4 of a pan of cornbread. How much will she have to pay?
Answer: 3 dollars.
Possible equation: 1/4p = x; where p = 12 and x = amount to be payed.

Katie creates a game in which 3 dimes are flipped at the same time. 5 points are awarded if all 3 dimes land on tails, but no points are awarded for anything else. What is the probability of not getting any points? (Hint: Find the complement).

0.125
0.875
0.9875
0.5

Answers

*100% Correct answers

Question 1

A surgical technique is performed on 10 patients. You are told there is an 80% chance of success. Find the probability that the surgery is successful for exactly 6 patients.

0.088

Question 2

Sam creates a game in which the player rolls 4 dice. What is the probability in this game of having at least 2 of the dice land on 5.

0.13101963141

Question 3

Katie creates a game in which 3 dimes are flipped at the same time.

5 points are awarded if all 3 dimes land on tails, but no points are awarded for anything else. What is the probability of not getting any points? (Hint: Find the complement).

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