Simplify the algebraic expression: 7x2 + 6x – 9x – 6x2 + 15.



A. x2 – 3x + 15
B. x4 – 3x + 15
C. x2 + 15x + 15
D. 13x2 + 3x + 15

Answers

Answer 1

Answer:

The correct answer option is A. x2 – 3x + 15.

Step-by-step explanation:

We are given the following expression and we are supposed to simplify it:

[tex]7x^2+6x-9x-6x^2+15[/tex]

Before solving it, a good idea will be to arrange all the like terms together in their decreasing power and write the expression as:

[tex]7x^2-6x^2+6x-9x+15[/tex]

Simplifying it to get:

[tex]x^2-3x+15[/tex]

Therefore, the first option A is the correct answer x2 – 3x + 15.


Answer 2

Answer:

A. [tex]x^{2} - 3x +15[/tex]

Step-by-step explanation:

Given:

7x^2 + 6x – 9x – 6x^2 + 15.

On combining the x^2, and "x" terms we get,

= (7x^2 – 6x^2) + (6x – 9x)  + 15

Now, here simple addition of integers takes places

=  x^ - 3x + 15




Related Questions

If f(x)=4x-6 and g(x)=√x+2, what is (f°g)(7)

Answers

Answer:

[tex]4\sqrt{7} +2[/tex]

Step-by-step explanation:

fog =4[tex]\sqrt{x}[/tex]+8-6

      = 4[tex]\sqrt{x}[/tex] +2

fog(7) = 4[tex]\sqrt{7}[/tex]+2

The same king cobra is 4.237 meters long. Round the length to the nearest meter.

Answers

Answer:

4

Step-by-step explanation:

since 2<5, 4.237 ≈ 4

help w math question
1703%1/6

Answers

Answer:

If you are saying 1/6 of 1703% then your answer is 2.8383 repeating.

Step-by-step explanation:

Divide 1703 by 1/6

Greatest to least .01 1/8 .23 1/5

Answers

Answer:

0.23, 1/5, 1/8, 0.01

Step-by-step explanation:

1/8=0.125

1/5=2/10=0.2

0.01

0.125

0.23

0.2

0.0..., 0.1.., 0.2...

0.20 and then 0.23

Answer:

.23  ,1/5  , 1/8 ,.01

Step-by-step explanation:

.I will put them all in decimal form

.01 = .01

1/8 = .125

.23  = .23

1/5 = .2

largest to smallest

.23 >..2  < .125  < .01

Put them back in their original form

.23  >1/5  > 1/8  >.01

.23  ,1/5  , 1/8 ,.01

Simplify. 2(x + 3y - 3) - (2x + 6y - 7) A) 0 B) 1 C) -3y + 4 D) -6x + 10
Please help, Thanks!

Answers

The answer is B (1)

The value of the expression is 1.

Option B is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2(x + 3y - 3) - (2x + 6y - 7)

= 2x + 6y - 6 - 2x - 6y + 7

Combining like terms.

= -6 + 7

= 1

Thus,

The value of the expression is 1.

Learn more about expressions here:

https://brainly.com/question/3118662

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A basketball player has made 80​% of his foul shots during the season. Assuming the shots are​ independent, find the probability that in​ tonight's game he does the following. ​a) Misses for the first time on his fourth fourth attempt ​b) Makes his first basket on his fourth fourth shot ​c) Makes his first basket on one of his first 3 shots

Answers

Final answer:

a) The probability of missing for the first time on the fourth attempt is 0.16%. b) The probability of making the first basket on the fourth shot is 0.8%. c) The probability of making the first basket on one of the first 3 shots is 99.2%.

Explanation:

a) To find the probability that the basketball player misses for the first time on his fourth attempt, we need to consider that each shot is independent. Since he has made 80% of his shots, the probability of making a shot is 0.8. Therefore, the probability of missing a shot is 1 - 0.8 = 0.2. Since the shots are independent, the probability of missing on the fourth attempt is 0.2 raised to the power of 4 = 0.0016, or 0.16%.

b) To find the probability that the basketball player makes his first basket on his fourth shot, we use a similar approach. The probability of making a shot is 0.8, and the probability of missing a shot is 0.2. The probability of making a shot on the fourth attempt is then 0.2 raised to the power of 3, multiplied by 0.8 = 0.2 * 0.2 * 0.2 * 0.8 = 0.008, or 0.8%.

c) To find the probability that the basketball player makes his first basket on one of his first 3 shots, we need to find the complementary probability. The probability of not making a basket on the first 3 shots is 0.2 raised to the power of 3 = 0.008. Therefore, the probability of making a basket on one of the first 3 shots is 1 - 0.008 = 0.992, or 99.2%.

35/k = 7/3 i need this one done asap too lol

Answers

Answer:

k=15

Step-by-step explanation:


Hyun Yong wants to donate more than $5000 in laptops and bicycles. Each laptop that he donates is worth $200, and each bicycle that he donates is worth $100. Write an inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal.

Answers

Answer:

$200L+$100B ≥$5000

Step-by-step explanation:

Given :

Hyun Yong wants to donate more than $5000 in laptops and bicycles.

Each laptop that he donates is worth $200, and each bicycle that he donates is worth $100.

To Find : An inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal.

Solution :

L denotes the number of laptops.

Since cost of each laptop is $200

Thus cost of L laptops = $200L

B denotes the number of bicycles.

Since cost of each bicycle is $100.

Thus cost of B bicycles = $100B

Now, he wants to donate more than $5000 in laptops and bicycles

So, inequality will be : $200L+$100B ≥$5000

Hence, An inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal:

$200L+$100B ≥$5000

help. Geometry. Branliest!!

Answers

1. Correct. The reflection happens over segment AB and then you translate 6 units to the right and 3 units up. This will move point A to D, B to F, C to E, to have the triangles line up perfectly.

-----------------------------------------------

2. Problem 1 already confirmed the triangles are congruent based on how they line up perfectly. Another way to prove this is to either use the SAS (side angle side) or LL (leg leg) theorem. With SAS, we need a pair of congruent sides and a pair of angles, with the angles between the two sides. The horizontal and vertical sides can be easily measured. The angles between the two sides are 90 degree angles. Because we have right triangles, we can use LL which is really just a special case of SAS.

-----------------------------------------------

3. Segment EF is 5 units. You can use the pythagorean theorem with a = 3 and b = 4 to solve a^2+b^2 = c^2 to get c = 5. Or you can use the fact that BC = 5 is given to us, so EF must also be 5 as well. This is because of the idea that if two triangles are congruent, then their corresponding pieces must be the same as well.

Real world example: imagine having 2 houses that are perfect clones of each other. If this is the case, then surely their front doors would be identical copies as well. In this analogy, a house is a triangle, while the front door is the segment.

I need help on 2,4,6 it will be worth a 10 points

Answers

Answer:

2 is 13

4 is 1

6 is 16

Step-by-step explanation:


Simplify: –3(y + 2)2 – 5 + 6y

Answers

Answer:


First you'll need to times 3 by 2 which makes 6 which makes your expression now -6(y+2)-5+6y. Then you make -6(y+2) into -6y-12. Which now makes it into -6y-12-5+6y which makes -17 as the answer

Answer:

-3 squared +(-6) +-17

Step-by-step explanation:

if (x+2) is a factor of h(x) = x^3 + 8x² + Ax + 4 , then valoe of A is:

Answers

If [tex]x+2[/tex] is a factor of [tex]h(x)[/tex], then by the polynomial remainder theorem, [tex]h(-2)=0[/tex]. So

[tex]h(-2)=(-2)^3+8(-2)^2+A(-2)+4[/tex]

[tex]-8+32-2A+4=0\implies2A=28\implies A=14[/tex]

Soft drinks cost $1.89 and refills cost $0.25 each. With $3.80 to spend on the soft drink and refills, what is the maximum number of refills that you can get?

Answers

Answer: The maximum number of refills that you can get is 7.

Solution:
3.80=1.89+0.25x
x=1.91/0.25=7.64=7(We take it as 7 because,if we need 8 cups we will jave to pay more,I think there is not such a subject of rounding decimal in sale)

3/4 ^2
WRITE IT IS A WHOLE NUMBER

Answers

Answer:

No.

Step-by-step explanation:

The whole numbers are 0, 1, 2, 3, ... (3/4)^2 is 9/16, which is not a whole number.


​​can anyone please solve this...............

Answers

Answer:

use photo math its helps alot

Step-by-step explanation:


Answer:

3 raise to 15

Step-by-step explanation:


Joseph is x years old. Andrea is 4 years older. Brandon is three times as old as Andrea. If you add together the ages of Joseph, Andrea, and Brandon the total comes to 101 years. How old is each person?

Answers

Answer: Joseph is 17 Andrea is 21 Brandon is 63


Step-by-step explanation:


The local parts shop buys a machine that costs $500,000. Its value depreciates exponentially each year by 10%. what is the machines value after 5 years

Answers

Answer:

$250,000

Step-by-step explanation:

5 times 10% is 50%

50% of $500,000 is $250,000

Your answer is $250,00

Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 6 seconds. In 60 seconds, how many times will they blink at the same time?

Answers

Answer: They have 5 common multiples, so your answer would be 5.


Step-by-step explanation: To find the answer, find the multiples of both 4 and 6 up to 60, then find the common numbers. Count how many common number there are, and that would be your answer (5)


Answer:5


Step-by-step explanation:

Find how many multiples they share until 60

which rate describes a unit price? $1.00 for 2 lemons $3.00 for every pound $4.00 for 3 slices of pizza $6.00 for every 6 bottle

Answers

Final answer:

A unit price is the price for one unit of an item. Among the options provided, $3.00 for every pound represents a unit price because it tells us the cost per single pound.

Explanation:

The question asks which rate describes a unit price. A unit price is the cost per single item or measure. It is calculated by dividing the total price by the number of units. In the context of the examples provided, a unit price is expressed as a cost for one lemon, one pound, one slice of pizza, or one bottle.

$1.00 for 2 lemons => $0.50 per lemon$3.00 for every pound => $3.00 per pound (this is a unit price)$4.00 for 3 slices of pizza => $1.33 per slice of pizza$6.00 for every 6 bottles => $1.00 per bottle

Therefore, out of the provided options, $3.00 for every pound best represents a unit price as it is a rate describing the cost of one pound.

Each day, Karen makes 45 loaves of bread at the bakery where she works. Each loaf of bread requires 5 cups of flour. One pound of flour is equivalent to about 4 cups of flour. About how many pounds of flour does Karen need in order to make the loaves of bread?

Answers

Answer: 5cups of flour = 1 loaf of bread

45 loaves of bread multiplied by 5 cups of four = 225 cups of flour to make 45 loaves of bread.

225 cups of flour divided by 4 = 56.25 pounds of flour.

Final answer:

Karen needs approximately 56.25 pounds of flour to make the loaves of bread.

Explanation:

To find how many pounds of flour Karen needs to make the loaves of bread, we need to convert the number of cups into pounds. Each loaf requires 5 cups of flour, and 1 pound of flour is equivalent to about 4 cups. Therefore, we can set up a proportion to find the number of pounds:

pounds of flour / cups of flour = number of loaves

Let's solve for pounds of flour:

pounds of flour = (number of loaves * cups of flour per loaf) / cups of flour per pound

Plugging in the numbers, we get:

pounds of flour = (45 * 5) / 4 = 56.25 pounds

Therefore, Karen needs approximately 56.25 pounds of flour to make the loaves of bread.

Learn more about Conversion of units here:

https://brainly.com/question/37409096

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What is the area of this circle use 3.14
81
243.06
254.34
300

Answers

Answer:

254.34

Step-by-step explanation:

The formula for area of a circle is given by

A = pi * r^2

A = pi * 9^2

A = 81*pi

Using 3.14 as an approximation for pi

A = 3.14*81

A = 254.34

I'm so confused. Please help I tried the first time got 50 some thing then 33 then 20.25. How do I do this?

Answers

Answer:

Basically, you have to think: more bricks : more time

more workers : less time

2,400 bricks 6 workers takes 18 hours

You now have to solve for 4,500 blocks and 10 workers

4,500 / 2,400 = 1.875 (times greater)

10 / 6 = 1.666666666 (times less)

So, we get 18 hours, multiply it by 1.875 and divide it by 1.666666666

which equals 20.25 hours

So, it seems you were correct on your third try.


Step-by-step explanation:


4 less than the product of 6 and a number ?? Help

Answers

Answer:

6n - 4

Step-by-step explanation:

product means to multiply

let the number be n, then

product of 6 and n = 6 × n = 6n

4 less than this product means subtract 4 from it, hence

6n - 4 ← required expression


I currently have 4 wild bunnies running around my yard. They are freaking annoying. Especially because they are doubling in number every month. Assuming this continues how many bunnies will be annoying me in 2 years.

Answers

Answer:

y = 67108864 rabbits

Step-by-step explanation:

The equation for growth is

y= a(b)^(t)

where a is the initial amount

b is the growth rate and

t is the time in months

2 years = 24 months

Assuming the population doubles at the end of the 1st month

Substituting in what we know

y = 4 (2) ^ (t)

y= 4 *2 ^ 24

y = 4*16777216

y = 67108864 rabbits


If they do not double at the end of the first month and wait until the second month, divide this number by 2

y = 4 (2) ^ (t-1)

y= 4 *2 ^ 23

y = 4*8388608

y = 33554432 rabbits

x=2y+7
x=y+4
with substitution

Answers

x = 2y + 7      (*)

x = y + 4       (**)

Substitute (*) to (**):

2y + 7 = y + 4      subtract 7 from both sides

2y = y - 3        subtract y from both sides

y = -3

Put the value of y to the second equation:

x = -3 + 4

x = 1
Answer: x = 1 and y = -3 → (1, 3)

How is the product related to the first factor?

4/9 × 7/3

The product is less than .4/9
The product is equal to .4/9
The product is greater than .4/9
The product is greater than .7/3

Answers

Answer:

5/5 austin

Step-by-step explanation:


The regular price of a jacket is $200. Today, the jacket is on sale. It is 20% off its regular price. The sales tax is 8%. If Steven buys the jacket today, how much will he pay?

Answers

Answer:

$172.80

Step-by-step explanation:

200*20%=40

200-40=160

160*0.08=12.8

12.8+160=172.80

Answer:

He pays $176

Step-by-step explanation:

First, to find 80% of 200, we can simply multiply 200 by .8.

200 x .8=160

Then, we add sales tax to that number. To find 8% of 200, multiply 200 by .08.

200 x .08=16

Then, add 16 to 160.

160+16= 176

Your answer is $176.

Hope this helps!

Please hurry!!!!
Does anyone have “algebra 1 B Part 1 semester exam” from Connecticut academy??? I need them please!!!

Answers

I'm not in Connecticut academy, but I could help you!!!! :) BTW, I also do Algebra.... Soooo.. I can help!!!

Final answer:

I cannot provide the exam you're seeking, but I can help with Algebra 1 questions.

Explanation:

Apologies, but I cannot provide you with the exam you're seeking. However, I'd be more than happy to help you with any specific questions or concepts you're struggling with in Algebra 1. Just let me know what you need assistance with!

What is the solution to the following equation? 3/8 x + 6(x + 3) = -5( 1/4 x - 1) + 6x x = -13 x = 13 x = 8 x = -8

Answers

Answer:

-8 Is the answer

Step-by-step explanation:

Which relation is a function?

{(4, 2),(3, 3),(2, 4),(3, 2)}
{(1, 4),(2, 3),(3, 2),(4, 1)}
{(1, 2),(2, 3),(3, 2),(2, 1)} ​
{(1, −1),(−2, 2),(−1, 2),(1, −2)}

Answers

It would be your second option. It's the only one that passes the vertical line test.


Answer:

2nd option

Step-by-step explanation:

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