if this is a perfect square trinomial factor it
A: (x-6)^2
B: (x+6)^2
C: (x(6)(x-12)
D: it's not a perfect square trinomial​

Answers

Answer 1

Answer:

Option B: [tex](x + 6)^2[/tex]

Step-by-step explanation:

Hello!

We can simply expand each option to find which one matches the trinomial [tex]x^2 +12x + 36[/tex]

A: (x - 6)²(x - 6)(x - 6)x² - 6x - 6x + 36x² - 12x + 36

It does not match.

B:(x + 6)²(x + 6)(x + 6)x² + 6x + 6x + 36x² + 12x + 36

Option B matches, so it is the right solution.


Related Questions

Find the volume of the prism. Please help!

Answers

Answer:

288

Step-by-step explanation:

1/2*B*H

1/2*(6*12)*8

1/2*72*8

1/2*576

288

Answer:

[tex]V=288\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the volume

[tex]V = \frac{b*h}{2}[/tex]

[tex]V = \frac{(6\ cm * 12\ cm) * (8\ cm)}{2}[/tex]

[tex]V = \frac{72\ cm*8\ cm}{2}[/tex]

[tex]V=\frac{576\ cm^2}{2}[/tex]

[tex]V=288\ cm^2[/tex]

Answer:  [tex]V=288\ cm^2[/tex]

7) YOU TRY: What is the product in simplest form? State any
restrictions on the variable.
x²-2x-3
x+11x+24
x-3
x +6x-16

Answers

The value of the product expression (x + 1)(x - 3) is x² - 2x - 3

How to determine the product?

From the complete question, the product expression is given as:

(x + 1)(x - 3)

Expand

x(x - 3) + 1(x - 3)

Further, expand

x² - 3x + x - 3

Evaluate the like terms

x² - 2x - 3

Hence, the value of the product expression (x + 1)(x - 3) is x² - 2x - 3

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TRUE OR FALSE:
The difference between permutations and combinations is whether the order of items matters.

Answers

The answer is...:

True

How many solutions does the following equation have? -4x + 2x - 5 = 3x + 7

Answers

Answer:

one solution: -12/5

Step-by-step explanation:

Solution

To find how many solutions the equation has, we have to solve for the equation first!

Step 1: Combine like terms.

[tex](-4x+2x)+(-5)=3x+7[/tex] [tex]-2x-5=3x+7[/tex]

Step 2: Subtract 3x from both sides.

[tex]-2x-5-3x=3x+7-3x[/tex] [tex]-5x-5=7[/tex]

Step 3: Add 5 to both sides.

[tex]-5x-5+5=7+5[/tex] [tex]-5x=12[/tex]

Step 4: Divide both sides by -5.

[tex]-5x/5=12/-5[/tex] [tex]x=-12/5[/tex]

Therefore, the answer is one solution

What does perserverance mean to you? What's a goal of yours that you'll fight to achieve?

Answers

Answer:

Doing something despite difficulty or delay in achieving success.

Step-by-step explanation:

Answer:

continued effort to do or achieve something despite difficulties, failure, or opposition

Step-by-step explanation:

y
12
11
10
9
7
NWO0065
4
-12-11-10-9-8
-65
-3-2-1
1
2 3 4 5 6
8 9 10 11 12
-2
-9
-10
-11
-12

Answers

Answer:

y12111097

Step-by-step explanation:

because I know the answer

Simplify 2y + 1. + 5y +4
3y. 3y

Answers

Answer:

 43y2+3 + 7y + 1

Step-by-step explanation:

In a normal distribution, 68% of the data fall within how many standard
deviations of the mean?
A. Two standard deviations
OB. One standard deviation
C. It cannot be determined from the given information.
D. Three standard deviations
← PREVIOUS
SURMIT

Answers

Using the Empirical Rule, the correct statement regarding where 68% of the data falls within the mean is given by:

B. One standard deviation.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Hence option B is correct, as 68% of the data is within 1 standard deviation of the mean.

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Find the mean of this data set
(Show your work)

Answers

Answer:

3

Step-by-step explanation:

Find the sum of the data set and divide it by the number of data points in the set:

[tex]\text{Mean}=\frac{2+3+1+4+5+2+3+4+3}{9}=\frac{27}{9}=3[/tex]

Therefore, the mean of the data set is 3

Melissa needs to make a total of 80 deliveries this week. so far she has completed 16 of them. what percentage of her total deliveries has melissa completed?

Answers

20% is the answer you solve it by dividing the deliveries she has done by the deliveries she needs to do

O
1) Complete the square to determine the maximum or minimum value of the function defined by the expression.
x² - 2x-5
A) minimum value at 1
B) minimum value at -6
C) minimum value at -1
D) maximum value at -6

Answers

the answer is B it’s because it have the same

Solve the system using linear combination. Show all work.
{9x + 4y = 28
{2x + 4y = 0

Answers

Answer:

(4,-2)

Step-by-step explanation:

What is linear combination?

Linear combination is the process of adding two equations to eliminate a variable so that we are able to solve for the other variable.

Here we are given the two equations 9x + 4y = 28 and 2x + 4y = 0. We can use linear combination to cancel out the two 4y terms leaving us with only x variables in which we can solve for.

Adding the two equations. (subtracting the second equation from the first)  we really are subtracting the second equation from the first because if we were to add we would get 4y + 4y which wouldn't cancel out the terms therefore we would have to subtract the two equations to get 4y - 4y which cancels out the terms.

  9x + 4y = 28

- (2x + 4y = 0)

==> remove parenthesis and apply negative sign

  9x + 4y = 28

 -2x  - 4y = -0

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

  7x     =    28

==> divide both sides by 7

    x = 4

Finding the y value:

The solution is written as (x,y) meaning we also need the value of y. To find it we can plug in the value of x into one of the equations and then we can solve for y.

2x + 4y = 0

==> plug in x = 4

2(4) + 4y =0

==> multiply 2 and 4

8 + 4y = 0

==> subtract 8 from both sides

4y = -8

==> divide both sides by 4

y = -2

so we have x = 4 and y = -2

the solution of the equation would be (4,-2)

Checking our work

If our answer is correct we can plug in the values of x and y into both equations and the outcome will be valid ( or correct )

Equation 1 : 9x + 4y = 28

==> plug in x = 4 and y = -2

9(4) + 4(-2) = 28

==> multiply 9 and 4

36 + 4(-2) = 28

==> multiply 4 and -2

36 - 8 = 28

==> subtract 8 from 36

28 = 28

Equation 2 : 2x + 4y = 0

==> plug in x = 4 and y = -2

2(4) + 4(-2) = 0

==> multiply 2 and 4

8 + 4(-2) = 0

==> multiply 4 and -2

8 - 8 = 0

==. Subtract 8 from 8

0 = 0

Both are correct so our solution is correct!

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Answer: x = 4, y = -2

Step-by-Step Explanation:

Lets solve using Elimination Method.

9x + 4y = 28 (Eq. 1)
2x + 4y = 0 (Eq. 2)

Subtracting Eq. 2 from Eq. 1, we get :-

7x = 28
x = 28/7
=> x = 4

Therefore, x = 4

Substituting value of ‘x’ in Eq. 2 :-

2x + 4y = 0
2(4) + 4y = 0
8 + 4y = 0
4y = 0 - 8
4y = -8
y = -8/4
=> y = -2

Therefore, y = -2

evaluate the equation of 3 x 10^-2

Answers

Answer:

0.03

Step-by-step explanation:

the first thing you would do in this equation is to deal with the exponent

a negative exponent puts the number under 1

1/10^2

10^2 is also 100

1/100

3 * 1/100 is 3/100 so that is your answer

3/100 is also 0.03

Answer: [tex]\frac{3}{100}[/tex] or 0.03

Step-by-step explanation:

3×[tex]10^{-2}[/tex]

3 × [tex]\frac{1}{100}[/tex]

⇒ [tex]\frac{3}{100}[/tex]

⇒ 0.03

What two operations would you use to solve the equation 3/4m - 6 = 12

-multiplication
-division
-addition
-subtraction

Answers

To solve this expression, we can use the mathematical operations: addition, multiplication and division. So the correct value, will be m = 1/24

This expression is an equation of the first fractional degree. To calculate, let's:

move the negative - term to the other side of the positive equation, thus adding:

3/4m - 6 = 12

3/4m = 12 + 6

3/4m = 18

— Now, let's calculate without being fractional. We will isolate the variable multiply the terms with each other:

3/4m = 18

3 = 4m . 18

3 = 72m

— Finally, we'll turn this equation into a fraction, like this - simplifying the numerator and denominator by the same real number:

3 = 72m

m = 3/72

m = 3÷3 / 72÷3

m = 1/24

Therefore, the correct value of this expression is m = 1/24

if x = 5, then 3x + 4x - 15 equals = ?

Answers

Answer:

If x = 5, then 3x + 4x - 15 equals 20

Step-by-step explanation:

Here, we are given the value of x, which is 5.

1. Substitute 5 as the value of x in the equation:

3x + 4x - 15 = ?

3(5) + 4(5) - 15 = ?

15 + 20 - 15 = ?

2. Simplify:

15 + 20 - 15 = ?

35 - 15 = ?

20 = ?

3. Check your work:

3x + 4x - 15 = 20

3(5) + 4(5) - 15 = 20

15 + 20 - 15 = 20

20 = 20 ✅

Therefore, if x = 5, then 3x + 4x - 15 equals 20

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Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5 km from home and their walking speed is 4 kilometres per hour. a On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Reeta when the cyclists arrive home? b On Tuesday, Peter and Reeta ride the bike and Nikita walks. When the cyclists arrive home, Peter hops off the bike and Reeta rides back towards school to collect Nikita. How far from school is Nikita when Reeta reaches her? c On Wednesday, Reeta and Nikita take the bike and Peter walks. When the cyclists are halfway home, Reeta off and walks the rest of the way, while Nikita heads back to pick up Peter. How far from school is Reeta when her siblings pass her on the bike? d On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home. Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off and pick-up points?

Answers

The distance between Reeta and the school when the cyclists arrive the home for this case is found to be 2 km

How to form mathematical expressions from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example, if it is asked to increase some items by 4, then you can add 4 in that item to increase it by 4. If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.

How to find the speed of an object?

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it travelled to the time it took to travel that distance.

If the object travelled D distance in T units of time, then that object's speed is

[tex]Speed = \dfrac{D}{T}[/tex]

Given that:

Distance from school to home = 5 kmWalking speed = 4 km / hoursCycling speed = 5 times walking speed = 20 km / hourThey all go and come together to and from school/home.On Monday: Nikita and Peter are coming by cycle, and Reeta walks.Cycle punctures at four-fifth of the way home = [tex]\dfrac{4}{5}\times 5[/tex] from school (as they're coming towards home, so went from school)After a puncture, cyclists walk to homeTo find the Distance of Reeta from school when the cyclist reaches home.

Suppose at time 0 hours, all three people departed from school (on that Monday).

After 't' hours, suppose the cycle gets punctured.

Then, as the cycle was going by 20 km/hour speed, so in 't' hours, it must have covered d kilometres (suppose),

then we get:

[tex]S =\dfrac{D}{T}[/tex]

[tex]20=\dfrac{d}{t}[/tex]

d = 20t

This distance is measured from school. But we know that this distance is 4 km, so we get:

20t = 4

t  =  1 / 4

The remaining 1 km (as the home is 5 km away from school and 4 km is already travelled) is walked by Cyclists. And walking speed is 5 km/hour, so let they take T hours to travel that 1 km walking, then we get:

5 =  1 / T

t = 0.2 hours

So, the total time cyclists took to reach home from school is: 0.2+0.2=0.4 hours

Reeta is walking that whole 5 km.

The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.

Thus, we have:

Time is taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:

D = S x T

D = 5 x 0.4 = 2 km

So Reeta was 2 km away from school when cyclists reached home on that Monday.

Thus, the distance between Reeta and the school when the cyclists arrive at the home for this case is found to be 2 km

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Solve the inequality 7x - 35 < 2(x – 5)

Answers

7x - 35 < 2(x -5)

Use distributive property on the right side:

7x -35 < 2x - 10

Add 35 to both sides:

7x < 2x + 25

Subtract 2x from both sides

5x < 25

Divide both sides by 5

X < 5

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Solve the inequality 7x-35<2(x-5)

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

First, use the distributive property on the right-hand side:-

     7x-35<2x-10

Remember, we need to ensure that variables are on one side of the inequality and numbers are on the other.

Since we have variables on both sides, we need to move all of them to the other side (usually the left-hand side), using the opposite operation.

Therefore

7x-35-2x<-10

Combine like terms:-

5x-35<-10

Now add 35 on both sides:-

5x<-10+35

On simplification,

5x<25

Divide by 5 on both sides:-

x<5

So the values of x less than 5 will satisfy this inequality.

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

I need an answer for this:
stirring a hot cup of tea causes a metal spoon to get warm which statement best explains why the spoon gets warm?

Answers

Answer:

here we go

Step-by-step explanation:

Stirring a cup of hot tea causes a metal spoon to get warm. Which statement best explains why the spoon gets warm? Heat energy transfers from the hot tea to the spoon.

Answer:

The molecules at the end of the spoon, in turn, collide with the molecules in the adjacent, cooler part, passing the kinetic energy on. This continues through the spoon until the handle molecules are also heated.

Step-by-step explanation:

Stay safe, stay healthy and blessed.Have a good day !Thank you

Drdraw the graph for the function:y=3.5+4x-4x^2 for the values of x from x=-3 to x=+3. from the graph find: a. the maximum value of the function y = 3.5+4x-4x^2 b. the range of values of x for which 3.5+4x-4x^2>0 (c.) the roots of the equation 3.5+4x-4x^2=0​

Answers

a. The maximum value of the function is 4.

b. The range of x-values for which the function is positive is approximately -1.5 < x < 0.5.

c. The roots of the equation are approximately x = -1.5 and x = 0.5.

To draw the graph of the function y = 3.5 + 4x - 4[tex]x^2[/tex], we can plot the points for different values of x within the range of -3 to +3. Here is the graph:

```      |

  4  |                 ++++++++++

     |             ++++

  2  |          +++

     |      +++

  0  |  +++

     |  

 -2  |      +++

     |          +++

 -4  |              ++++

     |                 ++++++++++

     -----------------------------

    -3    -2    -1     0     1     2     3

```From the graph, we can determine the following:

a. The maximum value of the function y = 3.5 + 4x - 4[tex]x^2[/tex] occurs at the vertex of the parabola. In this case, the vertex is at x = -b/2a, where a = -4 and b = 4. Thus, x = -4/(2*(-4)) = 0.5.

Plugging this value into the equation, we find y = 3.5 + 4(0.5) - 4(0.5)^2 = 4.

b. To find the range of values of x for which 3.5 + 4x - 4[tex]x^2[/tex] > 0, we need to identify the x-values where the function is positive (above the x-axis). From the graph, we see that the function is positive for x values between approximately -1.5 and 0.5.

c. To find the roots of the equation 3.5 + 4x - 4[tex]x^2[/tex] = 0, we need to find the x-values where the function intersects the x-axis. From the graph, we can see that the roots occur at approximately x = -1.5 and x = 0.5.

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A recipe requires 1/4 cup of oil for every 2/3 cup of water. How much oil (in cups) is
needed per cup of water?

Answers

The answer is 3/8 because 1/3 cups of water in 1/8 cups of oil so 1/8 times 3 is 3/8

Answer:

3/8 cup of oil

Step-by-step explanation:

divide 1/4 by 2 to get how many are needed for 1/3 cup of water, and times 3 to find one cup of water.

Does anyone knows the answers to these

Answers

Median is 17
Range is 17.4
IQR is 6

WILL MARK BRAINLIEST PLEASE HELL .
An online clothing store has 4 sweaters for every 5 T-shirts. Which table below represents this relationship?

Answers

Answer:

B

Step-by-step explanation:

Do the math

5x1 is 5

4x1 is 4

35÷7 is 5

28÷7 is 4

Hope this helps

Answer:

The second table.

Step-by-step explanation:

4 sweaters for every 5 T-shirts is a ratio of 4/5, which is equal to 0.8. That means that every ratio in the table should also be equal to 0.8 since they are all different versions of 4/5. In the second table, 4/5 = 0.8, 8/10 = 0.8, 28/35 = 0.8, and 32/40 = 0.8, so it is the second table.

GIVING BRAINLIEST!!!!!

Answers

Answer:

x = 18

Step-by-step explanation:

The angles (x)° and (4x)° are complementary, meaning they form a 90° angle.

x + 4x = 90

Combine like terms :

x (1 + 4) = 905x = 90

Divide both sides by 5 :

5x/5 = 90/5x = 18

Simplify: √45 – 3√20 + 4√5

Answers

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

simplifying

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{45}[/tex] - 3[tex]\sqrt{20}[/tex] + 4[tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex] - 3(2[tex]\sqrt{5}[/tex] ) + 4[tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex] - 6[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]

= [tex]\sqrt{5}[/tex]

A company produces 3000 memory cards each day. Every
day 25 are randomly selected for testing. One day, 1 of those
tested failed. About how many of the memory cards
produced that day are likely to fail?

Answers

Answer:

120 failures

Step-by-step explanation:

1 out of 25    or    1/25 th of 3000

1/25 * 3000 = 120

What is the distance between the pair of points.
E(-4, 4) and F (6,4)

Answers

Answer:

0/10 is the correct answer

Answer:

Please give me brainly!! I would really appreciate it. Thank you! <3

d=10

Step-by-step explanation:

►Use The Distance Formula d=√(x₂-x₁)²+(y₂-y₁)²◄

1. Fill In The Given Values (-4, 4) and (6,4)

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(6--4)²+(4-4)²

2. Simplify

d=√(6--4)²+(4-4)²

d=√10²+0²

d=√100+0

d=√100

d=10

5-2i-2(3+i) can you help me with this answer

Answers

Answer:

-1 - 4 i

Step-by-step explanation:

5 - (2 * i) - (2 * (3 + i)) =

-1 - 4 i

b)
Find the measurements of a rectangle with a perimeter of
26cm and an
area of 40 cm?

Answers

Answer:

L=8cm W=5cm

Step-by-step explanation:

8+8=16

5+5=10

10+16=26cm

5x8=40cm



Martin takes a test that has five multiple choice questions. Each question has three possible
answers. If Martin guesses on each question, in how many different ways can he answer the
questions on the test?

Answers

Answer:

The answer is 243

Step-by-step explanation:

Since there are 3 answers for each question and a total of 5 questions, you could do 3*3*3*3*3 or 3^5. Both will equal 243. 243 is the amount of possible different combinations that exist in this problem.

Hope this helps!

Can you guys help me find x and y, please

-2x -5y = 16
2x -3y = -16

-5x + 2y = 11
-3x + 4y = -13

Answers

Answer:

sure the first one for -2x-5y=16 is x is (-8,0) and y is (0,-16/5)

the second one for 2x-3y=-16 for x is (8,0) and y is (0, 16/3)

the third one for -5x+2y=11 for x is NONE and y is 8

the last one (thank god) for -3x+4y=-13 for x is (13/-3,0) and y is (0, 13/4)

Step-by-step explanation:

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