can someone help with factoring the trinomial below

Can Someone Help With Factoring The Trinomial Below

Answers

Answer 1
x^2 + 15x + 56

56 = 7 * 8
15 = 7 + 8

so
x^2 + 15x + 56 = (x + 7)(x + 8)

answer is D. (x + 7)(x + 8)

Related Questions

An expression is shown below:

square root of 32 plus square root of 2

Which statement is true about the expression?

It is rational and equal to 4.
It is rational and equal to 5.
It is irrational and equal to 5 multiplied by square root of 2.
It is irrational and equal to 4 multiplied by square root of 2.

Answers

[tex]\sqrt{32}+\sqrt{2}=\sqrt{16\times 2}+\sqrt{2}=\sqrt{16}\times \sqrt{2}+\sqrt{2}=4\sqrt{2}+\sqrt{2}=\boxed{5\sqrt{2}}[/tex]

The answer is "It is irrational and equal to 5 multiplied by square root of 2."

Answer:

It is irrational and equal to [tex]5[/tex] multiplied by square root of [tex]2[/tex]

Step-by-step explanation:

we have

[tex]\sqrt{32}+\sqrt{2}[/tex]

Remember that

[tex]32=2^{5}[/tex]

substitute in the expression

[tex]\sqrt{2^{5}}+\sqrt{2}=4\sqrt{2}+\sqrt{2}=5\sqrt{2}[/tex]

therefore

It is irrational and equal to [tex]5[/tex] multiplied by square root of [tex]2[/tex]


(08.05)The box plot shows the total amount of time, in minutes, the students in a class spend traveling to school each day: A box plot is titled Daily Travel Time and labeled Time (min). The left most point on the number line is 10 and the right most point is 45. The box is labeled 16 on the left edge and 36 on the right edge. A vertical line is drawn inside the rectangle at the point 28. The whiskers are labeled as 11 and 43. What information is provided by the box plot?

Answers

Box plots give the five number summary of the data set. The whiskers indicate the minimum daily travel time, which is 11 minutes, and the maximum daily travel time, which is 45 minutes. These values are not outliers because they are connected to the box with whiskers. Meanwhile, the box indicates that the first quartile of the data set is 16, the median is 28, and the third quartile is 36.

The left-most point on the number line is 10.

Minimum value = 10

The right-most point is 45.

Maximum value= 45

First quartile or lower quartile = 16

Third quartile or upper quartile = 36

The median is 28.

Given that

The box plot shows the total amount of time, in minutes, the students in a class spend traveling to school each day:

A box plot is titled Daily Travel Time and labeled Time (min).

The left-most point on the number line is 10 and the right-most point is 45.

The box is labeled 16 on the left edge and 36 on the right edge.

A vertical line is drawn inside the rectangle at point 28.

The whiskers are labeled as 11 and 43.

We have to determine

What information is provided by the box plot?

According to the question

In the box plot, the information is given as follows.

The left-most point on the number line is 10.

         Minimum value = 10

The right-most point is 45.

        Maximum value= 45

First quartile or lower quartile = 16

Third quartile or upper quartile = 36

The median is 28.

To know more about Median click the given below.

https://brainly.com/question/9969858

Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5 short-answer questions worth 11 points each. It takes about 2 minutes for Josh to answer the multiple-choice questions m and about 8 minutes to complete the short-answer questions s. The system of inequalities that represents this problem is graphed below. Which ordered pair is not a vertex of the feasible region?

Answers

The feasible vertices of the system representing Josh's exam are (0,0), (12,5), and (15,1.25). The non-feasible vertices are (15,0), (0,5), and (20,0). Therefore, the ordered pair (15,0) is not a vertex of the feasible region.

1. System of Inequalities:

  - Time constraint: [tex]\(2m + 8s \leq 40\)[/tex]

  - Number of multiple-choice questions: [tex]\(m \leq 15\)[/tex]

  - Number of short-answer questions: [tex]\(s \leq 5\)[/tex]

2. Feasible Vertices:

  - (0,0), (12,5), (15,1.25)

3. Non-feasible Vertices:

  - (15,0), (0,5), (20,0)

So, the ordered pair (15,0) is not a vertex of the feasible region.

Find the coordinates of point S that lies along the directed line segment from R(-14, -1) to T(4, -13) and partitions the segment in the ratio of 1:5.

Answers

check the picture below.

I'd like to point out, is 1:5 from R to T, since that matters, that way we know the ratio from RS is the 1 and the ratio ST is the 5.

[tex]\bf \left. \qquad \right.\textit{internal division of a line segment} \\\\\\ R(-14,-1)\qquad T(4,-13)\qquad \qquad 1:5 \\\\\\ \cfrac{RS}{ST} = \cfrac{1}{5}\implies \cfrac{R}{T} = \cfrac{1}{5}\implies 5R=1T \implies 5(-14,-1)=1(4,-13)\\\\ -------------------------------\\\\[/tex]

[tex]\bf { S=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\\ -------------------------------\\\\ S=\left(\cfrac{(5\cdot -14)+(1\cdot 4)}{1+5}\quad ,\quad \cfrac{(5\cdot -1)+(1\cdot -13)}{1+5}\right)[/tex]

Answer:  The required co-ordinates of the point S are (-11, -6).

Step-by-step explanation:  We are given to find the co-ordinates of the point S that lies along the directed line segment from R(-14, -1) to T(4, -13) and partitions the segment in the ratio of 1:5.

We know that

the co-ordinates of a point that divides the line segment joining the points (a, b) and (c, d) in the ratio m : n is given by

[tex]\left(\dfrac{mc+na}{m+n},\dfrac{md+nb}{m+n}\right).[/tex]

According to the given information, we have

(a, b) = (-14, -1),  (c, d) = (4, -13)  and  m : n = 1 : 5.

Therefore, the co-ordinates of the point S are given by

[tex]\left(\dfrac{1\times4+5\times(-14)}{1+5},\dfrac{1\times(-13)+5\times(-1)}{}\right)\\\\\\=\left(\dfrac{4-70}{6},\dfrac{-13-5}{6}\right)\\\\\\=\left(\dfrac{-66}{6},\dfrac{-18}{6}\right)\\\\=(-11,-3)[/tex]

Thus, the required co-ordinates of the point S are (-11, -6).

Solve the system of equations: 2x + 9y = 0 and 3x + 5y = 17.

Answers

2x + 9y = 0 (1st)
3x + 5y = 17 (2nd)

multiply (st) by 3 and (2nd) by 2

6x + 27y = 0 (1st)
6x + 10y = 34 (2nd)
----------------------------subtract
17y = -34
    y = -2

2x + 9y = 0
2x +9(-2) = 0
2x = 18
x = 9

answer
(9, -2)

Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2.

Answers

Sequence one is geometric since you are multiplying each number by a certain value (-2). Sequaence 2 is arithmetic since you are ADDING each number by -20

Answer:

Sequence 1 is arithmetic and Sequence 2 is geometric.

Which linear inequality is represented by the graph? y ≥ 1/3x – 4 y ≤ 1/3x – 4 y ≤ 1/3x + 4 y ≥ 1/3x + 4

Answers

solid line...means equal sign is present.....shading below the line means less then....u have a y int at (0,-4)...u have a positive slope of 1/3

thats gonna be 2nd answer choice

Answer:

[tex]y\leq \frac{1}{3}x-4[/tex]

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area below the solid line

The slope of the line is positive

The y-intercept of the solid line is equal to [tex]-4[/tex]

therefore

The inequality must be

[tex]y\leq \frac{1}{3}x-4[/tex]

What is the factorization of the polynomial below?

x²+12x+27

A. (x+3)(x+9)
B. (x+9)(2x+9)
C. (12x+1)(x+2)
D. (3x+3)(x+9)

Answers

The answer is A.

(x + 3)(x + 9) = x^2 + 3x + 9x + 27, which simplifies to x^2 + 12x + 27

What is the algebraic expression for "the difference between seven times a number and three times that number"?

7 - 3x
7x - 3
7x - 3x

Answers

"seven times a number" =7x

"difference"= -

"three times a number" = 3x  so

7x-3x

Answer:

(C)7x-3x

Step-by-step explanation:

The given algebraic expression is:

"The difference between seven times a number and three times that number"

Let the number be equal to =x, then according to the statement, we have

seven times a number=7x and three times that number=3x

The difference between seven times a number and three times that number=7x-3x

which is the required algebraic expression.

Hence, option C is correct.

I need all the answers for question 2 and please explain each step to get the answer, thanks

Answers

a)   check the picture below

b)
 
hmm where is that point A anyway? sounds like it's asking the same thing as in part a)

c)

well, where's M, the midpoint of BC, let's check.

[tex]\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) B&({{ 1}}\quad ,&{{ 4}})\quad % (c,d) C&({{ 9}}\quad ,&{{ 10}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ M=\left( \cfrac{9+1}{2}~,~\cfrac{10+4}{2} \right)\implies M=(5,7)[/tex]

now, the coordinator says that the midpoint of MC is at 6,8, let's check.

[tex]\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) M&({{ 5}}\quad ,&{{ 7}})\quad % (c,d) C&({{ 9}}\quad ,&{{ 10}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ N=\left( \cfrac{9+5}{2}~,~\cfrac{10+7}{2} \right)\implies N=\left(7~,~\frac{17}{2} \right)\implies N=\left(7~,~8\frac{1}{2} \right)[/tex]

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 5 and 625, respectively.

Answers

we can wite the second term as a1r  and 5th term as a1r^4  where a1 = first term and r = common ratio.

so (a1r^4) / (a1r) = r^3  = 625/5

r^3 = 125

r = 5  

so a1* 5 = 5  giving  a1 = 1


explicit rule is an =  5^(n-1)

Answer the questions that aren't covered please? Thanks

Answers

sorry but you can't see what the equations equal so we can't solve them! try retaking the picture? :)

Solve this quadratic equation by completing the square.

x^2+10x=7

Answers

ok, so the quadratic coefient is 1, so great

take 1/2 of the linear coefient and square it
10/2=5, (5)^2=25
add that to both sides
x^2+10x+25=7+25
factor perfect square trionomial
(x+5)^2=32
squaer root both sides
x+5=+/-4√2
minus 5
x=-5+/-4√2


x=-5+4√2 and -5-4√2

A video game club charges a fixed annual membership fee of $18 and $3 per video game rented. Let f(n) represent the total annual cost of renting n video games. Which of the following functions best represents the relationship between f(n) and n if the membership was increased by $20 the next year?

Answers

Since there is a flat membership fee of $18, the y intercept is 18.  And since there is a $3 fee per number of video games rented, n, the slope or rate of change of the linear equation is 3.  The slope-intercept form of a line is:

f(x)=mx+b, where m=slope and b=y-intercept so in terms of n, games rented, the cost, f(n) is:

f(n)=3n+18 

Answer:

The correct answer is f(n)=3n+38

Step-by-step explanation:

Put in y=mx+b form, so y= f(n), $3 is fee per video game rented and n is the number of video games rented, b is ($18 fixed fee for this year +$20 fee for next year). So, f(n)=3n+38.

What percentage is the fraction 2/4 equal to?

Answers

Is it equal to 50% because 2/4 is .5 and to make a fraction you move the decimal over two places to the right
It is equal to 50%.
When 2/4 is simplified, it becomes 1/2, which is equal to 0.5.

Your little brother just learned how to flip and catch a coin. He believes that by catching the coin in mid-air, he can influence the  probability that it will land heads up. Based on your understanding of theoretical probability, explain to your little brother why his theory of influence is false.

Answers

Answer explanation:

If a coin is fair then it has two faces , one is heads and the another is tails.

The probability getting any favorable outcomes is given by the formula :-

[tex]\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}[/tex]

So the factor effecting probability is just the number of  favorable outcomes and total outcomes.

If a coin is tossed then the probability of getting heads will be :-

[tex]P(H)=\dfrac{1}{2}=0.5=50\%[/tex]

To get heads always this should be 1 , which can be happen if number of  favorable outcomes is equal to total outcomes.

i.e. Number of heads = Number of total outcomes, this means coin should be biased.

Catching the coin in mid-air can never be a factor for this.

Therefore, the little brother's theory is false.

Answer:

Sample Response: The probability of a coin landing heads up is 1/2, or 50%. That fact will not change if the coin is caught in midair.

Step-by-step explanation:

you borrow $90 from your grandmother. you pay back $15 each week.
a. write an equation in standard for that represents the amount owed y after x weeks.
b. find the y intercept of the graph. what does this represent?
c. find the x intercept of the graph. what does this represent?

Answers

a. y = 90 - 15x
b. y = 90, The money you owe her initially, or after 0 weeks.
c. x = 6, The number of weeks until you pay her back all $90.

Answer: a) y = 90-15x

b) y = 90

c) x = 6

Step-by-step explanation:

Since we have given that

Amount borrowed from his grandmother = $90

Amount he pay back each week = $15

Let the number of weeks be 'x'.

Let total amount owed be 'y'.

So, it becomes

[tex]y=90-15x[/tex]

a) write an equation in standard for that represents the amount owed y after x weeks.

Our equation is [tex]y=90-15x[/tex]

b. find the y intercept of the graph. what does this represent?

For this , we put x = 0.

[tex]y=90-15(0)\\\\y=90[/tex]

So, the y-intercept of the graph is 90.

It represents that the graph intersect y-axis at (0,90)

c. find the x intercept of the graph. what does this represent?

For this, we put y = 0.

[tex]0=90-15x\\\\90=15x\\\\x=\dfrac{90}{15}\\\\x=6[/tex]

So, the x intercept of the graph is 6.

It represents that the graph intersect the x-axis at (6,0)

Determine the equation of the graph and select the correct answer below.

y = (x + 1)2 + 3
y = (x + 1)2 − 3
y = (x − 1)2 − 3
y = (x − 1)2 + 3

Answers

y = (x − 1)2 + 3 hope this helps
From the graph, the vertex is at (1, -3)

vertex form  is y = (x-h)^2 + k

where h,k) is the vetex

so here we have y = (x - 1)^2 - 3

Its C

85 is 20% of what number? Enter your answer in the box.

Answers

20% = 20/100 = 0.2

85/0.2 = 425 ← answer

Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show your work.
a. 3in, 4in, 5 in

b. 5in, 6in, 7in

c. 8in, 9in, 12in

Answers

Let "a", "b" and "с"  be sides of the triangle ("с" is the longest side).
The triangle will be:

right if       a² + b² = c²
аcute if     a² + b² > c²    
obtuse if   a² + b² < c²    

a.
a=3, b=4 and c=5

a² + b² = 3² + 4² = 9 + 16 = 25   and   c² = 5² = 25

25 = 25   ⇒  right triangle.

b.
a=5, b=6 and c=7

a² + b² = 5² + 6² = 25 + 36 = 61   and   c² = 7² = 49

61 > 49   ⇒  аcute triangle.

c.
a=8, b=9 and c=12

a² + b² = 8² + 9² = 64 + 81 = 145   and   c² = 12² = 144

145 > 144   ⇒  аcute triangle.

From the information, A is a right angle, B is an acute triangle and C is an acute angle.

How to solve the triangle

It will be a right triangle if a² + b² = c². It will be аcute if a² + b² > c² and it'll be obtuse if a² + b² < c².

For the first one,

a² + b² = 3² + 4² = 9 + 16 = 25 and c² = 5² = 25

25 = 25

This is a right triangle.

For the second one,

a² + b² = 5² + 6²

= 25 + 36 = 61

c² = 7² = 49

61 > 49 = аcute triangle.

For the third one,

a² + b² = 8² + 9²

= 64 + 81 = 145

c² = 12² = 144

145 > 144 = аcute triangle.

Learn more about triangles on:

https://brainly.com/question/4521351

A parallelogram has vertices E(−4, 6), F(1, 3), G(3, −4), and H(−2, −1). What are the coordinates of the midpoint of each diagonal?

 (−3.5, 2.5)
 (−0.5, −1)
 (−0.5, 1)
 (0.5, −1)

Answers

I would say that the answer is (-0.5,1).
Hope this helped!

(4.05 LC)

The graph shows y as a function of x:

Graph of x against y shows 4 segments. Segment A is a horizontal line parallel to the x-axis. Segment B is a slanting straight line going up. Segment C is a horizontal line parallel to the x-axis. Segment D is a slanting straight line going down that touches the x-axis.

In which segment is the function increasing?
A
B
C
D

Answers

I think the answer will be B

Answer: I think the answer is A.

Step-by-step explanation:

I think this because its the only time that It could stay the same.

The lifetimes of lightbulbs of a particular type are normally distributed with a mean of 392 hours and a standard deviation of 9 hours. find the first quartile, q1.

Answers

The 1st quartile q1 is also called the 25th percentile (the bottom 25% of a data set). In this case, if we choose 100 light bulbs, then the 1st quartile will be the 25 bulbs with shortest useful life.


To solve this problem, we would have to use the z statistic. Using the standard distribution tables for z, we locate for the value of z at P = 0.25:

z = - 0.674

Then to calculate for the 1st quartile, we use the formula:

Q1 = x + z * s

 

where x is the mean, and s is the standard deviation, therefore:

Q1 = 392 + (- 0.674) (9)

Q1 = 385.934

Final answer:

To find the first quartile of a normal distribution, use the z-score corresponding to an area of 25%. For these lightbulbs with a mean of 392 hours and standard deviation of 9 hours, the first quartile is approximately 386 hours.

Explanation:

In statistics, the quartiles of a dataset divide the data into four equal parts. The first quartile, Q1, is the value below which 25% of the data fall. To determine Q1 for the lifetime of a certain type of lightbulb, we use the properties of the normal distribution.

First, realize that 25% of data falls below Q1, and hence using the z-table, we find that z=-0.675 corresponds to an area of 0.25. We then use the formula for a z-score in a normal distribution, z = (X - μ)/σ. Solving for X we find X = z*σ + μ.

Plugging in the known values we get Q1 = -0.675*9 + 392 = 386.025 hours. So, for these lightbulbs, 25% will have failed by around 386 hours.

Learn more about First Quartile here:

https://brainly.com/question/24329548

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Graph the functions and approximate an x-value in which the quadratic function exceeds the exponential function. y = 4x y = 7x2 + 4x - 2
x = -0.5
x = 0
x = 0.5
x = 2

Answers

I believe that it is 0.5

Answer:

Option 3th is correct

x = 0.5

Step-by-step explanation:

The given functions are:

Function 1: [tex]y = 4^x[/tex]

Function 2: [tex]y=7x^2+4x-2[/tex]

The values of function at x = -0.5, 0, 0.5 and 2 are as follow:

x values     Function 1              Function 2

-0.53                 0.5                            -2.25

0                        1                              -2

0.53                   2.086                      2.0863

2                        16                             34    

From the above table. It is clear that the quadratic function [tex]y=7x^2+4x-2[/tex]  exceeds the exponential function [tex]y = 4^x[/tex] at x = 0.53

Therefore, the approximate x-value in which the quadratic function exceeds the exponential function at x = 0.5

Which sequence of transformations creates a similar but not congruent triangle?

A. Dilation and reflection

B. Reflection and rotation

C.Reflection and translation

D.Translation and rotation

Answers

A a dilation and reflection
dilation will make bigger or smaller therefore it cannot be congruent

Answer:

A

Step-by-step explanation:

how to write 314,207 in word form

Answers

three hundred fourteen thousand two hundred seven

Answer: three hundred fourteen thousand, two hundred seven

explanation for the comma after thousand: I’m used to putting one there because it says 314, not just 314 so I added one. Hope I helped !

How to simplify all this numbers to make one equation?

Answers

[tex]6-(x+2)-4x=6-x-2-4x=-5x+4[/tex]
6-(x+2)-4x  You must first multiply all terms in the parentheses by -1

6-x-2-4x, then you must combine like terms

(-x-4x)+(6-2)

-5x+4

A cone is a solid that has one circular base and only one face. true or false

Answers

the answer for this is true 
Answer: true.

The cone is made by rotating a right triangle for 360°

The base is a circle, formed by one of the leg. The other leg makes the only one face.

Are rational numbers always, sometimes or never natural numbers?

Answers

Rational numbers are sometimes natural numbers. For example, the number 1 is both a rational and natural number. Remember that natural numbers are 1, 2, 3, 4.. etc. Rational numbers are any number that can be expressed as a ratio of 2 integers. 1/1 is rational.

Most rational numbers, however, are not natural. For example, 3/4, 89/88, and so on.

Answer:

SOMETIMES

Step-by-step explanation:

Based on the graph, what are all of the solutions to f(x) = x3 − 7x − 6? x = −6 x = −2, −1 x = −2, −1, 3 x = −6, −2, −1, 3

Answers

hello : 
x = −2, −1, 3 are solutions of equation : f(x) = 0
because : f(-2) = f(-1) = f(3) = 0
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