We want to factor the following expression:

We Want To Factor The Following Expression:
We Want To Factor The Following Expression:

Answers

Answer 1

Answer:

U = x + 3 and V = 7

Step-by-step explanation:

Let U = x + 3 and V = 7, then:

=> (x + 3)^2 + 14(x + 3) + 49

= (x + 3)^2 + 2*7*(x + 3) + 7^2

= U^2 + 2UV + V^2

= (U + V)^2

(correct)


Related Questions

Which number produces a rational number when multiplied by 1/3

Answers

Answer:

Here are some examples:

[tex] \sqrt{9}, 18/3, 15, -6, 1.2, 0 [/tex]

Please help! Prove: Ray E B bisects ∠AEC.

Answers

Answer:  Angle Bisector Theorem states that if a ray bisect an angle of a triangle,then it divides the opposite side into segments that are proportional to the other two side.

if this helped pls mark brainliest.

Answer:  Angle Bisector Theorem states that if a ray bisect an angle of a triangle,then it divides the opposite side into segments that are proportional to the other two side.

Apples lose 85% of their weight while drying. How many pounds of fresh apples do you need to get 10.5 lb of dried apples ?

Answers

Answer:

12.35 pounds

Step-by-step explanation:

10.5/0.85=~12.35

12.3529411765

Answer:

70 pounds

Step-by-step explanation:

Divide the original amount by 0.15, since it is a percent decrease you will divide by 1 - 0.85, which is 0.15

10.5 / 0.15 = 70

If Milly has 29924827134702 candies and she gave 928439 to BOB then he gave 1000 back to Milly How much does both Milly and BoB have?

Answers

Answer:

"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)

"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)

Step-by-step explanation:

well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it

hope this helped LOL

Find the vertex of the function given below y=x^2-2x+1

Answers

Hey there! :)

Answer:

(1, 0).

Step-by-step explanation:

Convert from standard form to vertex form by completing the square:

y = x² - 2x + 1

Move 1 to the other side:

-1 = x² - 2x

Complete the square. Remember to add to both sides:

-1 + (1) = x² -2x + 1

Simplify:

0 = (x - 1)²

The function in vertex form is:

y = (x - 1)²

Therefore, the vertex is:

(1, 0).

Hello, a Maths question if anyone knows what to do Solve: 6(x+4)=30

Answers

Answer:

x = 1

Step-by-step explanation:

6(x+4)=30    (divide both sides by 6)

(x+4) = 30/6

x+4 = 5   (subtract 4 from both sides)

x = 5 - 4

x = 1

Step-by-step explanation: 6(x+4)=30

(Distributive property): 6x+24=30

( Transposition method): 6x=30-24( + becomes -) 6x=6

(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y =- 2 /3x +8 . What is the point-slope form of the equation for this line? y – 3 = –2/3 (x + 8) y + 3 = -2/3 (x - 8) y + 8 = - 2/3 (x - 3) y - 8 = -2/3 (x + 3 )

Answers

Answer:

y - 8 = - [tex]\frac{2}{3}[/tex](x + 3)

Step-by-step explanation:

y = - [tex]\frac{2}{3}[/tex] x + 8 ← is in slope- intercept form with slope m = - [tex]\frac{2}{3}[/tex]

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - [tex]\frac{2}{3}[/tex] and (a, b) = (- 3, 8), thus

y - 8 = - [tex]\frac{2}{3}[/tex] (x - (- 3)), that is

y - 8 = - [tex]\frac{2}{3}[/tex] (x + 3)

24 athletes threw the shot put at a track and field meet. If this was 15/100 of all the athletes in the meet, how many athletes competed in the meet total?

Answers

Answer:

160 athletes

Step-by-step explanation:

Let the total number of athletes in the meet be x

Given that 24 athletes who  threw the shot put at a track and field meet are 15/100 of all the  athletes in the meet .

If we write this in mathematical algebraic expression

15/100 of all the  athletes in the meet = 24

15/100 * x = 24

=> x = 24*100/15 = 24*100/3*5 = 160

Thus, 160 athletes competed in the meet.

Which of the following is a polynomial?
A. 15X4
B. 4X2 +9x+12
C. 3- 2x
D. 6x2 +2/X

Answers

Answer:

C

Step-by-step explanation:

I answered the question already

work out the area of this quarter circle take pie to be 3.142 radius in image attached thanks (:

Answers

Answer:

38.4895 cm^2

Solution,

Radius(R)= 7 cm

Area of quarter circle:

[tex] \frac{\pi \: {r}^{2} }{4} [/tex]

[tex] = \frac{3.142 \times 49}{4} [/tex]

[tex] = 38.4895 \: {cm}^{2} [/tex]

Hope this helps...

Good luck on your assignment..

the answer is 38.4895cm^2

8.99 to the nearest decimal

Answers

Answer:

9

Step-by-step explanation:

One Decimal Place Rule #3: If the last digit in 8.99 is 5 or more and the second to the last digit in 8.99 is 9, then remove the last digit, make the second to last digit 0, and add 1 to the number to the left of the decimal place.

Hope this helped!

A cylinder with a diameter of 8 inches and height of 12 inches.Ross is wrapping a gift. The package is shaped like the cylinder shown. What is the least amount of paper he needs to cover the entire cylinder? Use 3.14 for Pi.401.92 in.2602.88 in.31004.8 in.22411.52 in.3

Answers

Answer:

The answer is A.

Step-by-step explanation:

We need to find the least amount of paper needed to wrap the entire cylinder. Therefore, we simply need to find the surface area of the cylinder.

Recall the formula for the surface area of a cylinder:

[tex]SA=2\pi r^2+2\pi rh[/tex]

We know the diameter is eight inches, so the radius is four inches. We also know the height is 12. Using 3.14 for π, substitute:

[tex]SA=2(3.14)(4)^2+2(3.14)(4)(12)[/tex]

[tex]SA\approx 401.92\text{ in}^2[/tex]

Our answer is A.

Answer:

It's A

Step-by-step explanation:

I GOT IT RIGHT ON EDGE

Can someone please help me I really need help please help me thank you

Answers

Answer:

D. 2

Step-by-step explanation:

The rate of change is also considered the slope in graph form.

In the first chart every time the t-value goes up twice the c-value goes up four times.

The same can be said for the graph on the bottom.

Work out the mean for the data set below: 1003, 1005

Answers

Answer:

1004 is the mean

Step-by-step explanation:

add the 2 numbers and divide by 2

Answer:

1004

Step-by-step explanation:

mean is equals to total ÷ no.

1003+1005= 2008÷2=1004

Click Submit.
Which unit of measure would be appropriate for the area of a picture that is 20
centimeters tall and 15 centimeters wide?
O A. Meters
OB. Square centimeters
O C. Cubic centimeters
O D. Centimeters
ons

Answers

Answer:

Square centimeters

Step-by-step explanation:

As the area of the picture is 300 cm², Square centimeters are the appropriate unit for measuring the area of the picture.

please mark me brainliest!

Cone W has a radius of 8 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W. Paul and Manuel disagree on how the volumes of cone W and square pyramid X are related. Examine their arguments. Which statement explains whose argument is correct and why?

Answers

This question is incomplete because it lacks the appropriate attachment containing the argument of Paul and Manuel

Kindly find attached the appropriate attachment necessary to solve this question.

The attachment was sourced online

Answer:

a) Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X

Step-by-step explanation:

From the above question, we are given two shapes: Cone W and Square Pyramid

Cone W: Radius = 8cm, Height = 5cm

Volume of a Cone = 1/3 πr²h

Where π = 3.14

Volume of Cone X = 1/3 × 3.14 × 8² × 5

= 334.93cm³

For Square pyramid X

Volume = 1/3 × Base Area × Height

Base Area of Cone W = Base Area of square pyramid X = πr²

Where π = 3.14

Base area = 3.14 × 8² = 200.96cm²

Height of Square pyramid X = Height of Cone W = 5cm

Volume of Square pyramid = 1/3 ×200.96cm² × 5cm

= 334.93cm³

Therefore, from my above calculation and compared with the arguments of Paul and Manuel, Option a) "Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X" is the correct option.

The reason why is because the correct formula for the volume of a square pyramid = 1/3 × Base area × Height

This was the formula Paul used.

Manuel on the other hand used the formula: Base Area × Height to find the volume of cone W. This formula is wrong.

Option a, is the correct answer.

Answer: A. Paul's argument is correct; Manuel used the incorrect formula to find the volume of square pyramid X.

Proof of validity shown below along with the attached chart not included in initial question!

Suppose that Upper X has a discrete uniform distribution f left-parenthesis x right-parenthesis equals StartLayout left-brace1st Row 1st Column 1 divided by 3, 2nd Column x equals 1,2,3 2nd Row 1st Column 0, 2nd Column otherwise EndLayout A random sample of n equals 39 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.6. Express the final answer to four decimal places (e.g. 0.9876). The probability is

Answers

Answer:

The probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.

Step-by-step explanation:

The random variable X follows a discrete uniform distribution.

The probability mass function of X is:

[tex]f(x)=\left \{ {{\frac{1}{3}};\ x=1,2,3 \atop {0;\ \text{otherwise}}} \right.[/tex]

Then,

a = 1

b = 3

The mean and standard deviation of the random variable X are:

[tex]\mu=\frac{b+a}{2}=\frac{3+1}{2}=2\\\\\sigma=\sqrt{\frac{(b-a+1)^{2}-1}{12}}=\sqrt{\frac{(3-1+1)^{2}-1}{12}}=0.8165[/tex]

The sample size is, n = 39.

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As n = 39 > 30, the sampling distribution of sample mean of X will follow a Normal distribution approximately.

Compute the probability that the sample mean is greater than 2.1 but less than 2.6 as follows:

[tex]P(2.1<\bar X<2.6)=P(\frac{2.1-2.0}{0.8165/\sqrt{39}}<\frac{\bar X-\mu_{\bar x}}{\sigma/\sqrt{n}}<\frac{2.6-2.0}{0.8165/\sqrt{39}})[/tex]

                          [tex]=P(0.76<Z<4.59)\\\\=P(Z<4.59)-P(Z<0.76)\\\\=1-0.77637\\\\=0.22363\\\\\approx 0.2236[/tex]

Thus, the probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.

can someone help me answer this

Answers

Answer:

x = 80°

Step-by-step explanation:

x = 180 - ( 129 + 71 ) / 2

Thanks!

I really need help on this one! Giving brainliest, Need two answers!

Answers

Step-by-step explanation:

first question:

From the graph we notice that the minimum of the function 1 is -1

From the table we notice that the minimum of the second function is 2

so the function #2 has a greater minimum

second question :

The function is x²+3x-4

Derivate it and solve the equation y'=0

y'= 2x+3

y'=0

2x+3=0

2x= -3

x = -3/2

Derivate it again:

y"= 2> 0⇒ so the function reaches the minimum at -3/2

the image of -3/2 is :

y= (-3/2)²+3*(-3/2)-4 = -6.25

so the answer is

#3<#1<#2

6.12)
Jennifer had some money in her
pocket. She spent $1.35, which left
her with $2.30. Which equation could
Jennifer use to find m, the original
amount of money she had in her
pocket?
A m + 2.30 = 1.35
B m - 1.35 = 2.30
C 2.30 = 1.35 – m
D m = 2.30 x 1.35

Answers

Answer:

B

Step-by-step explanation:

m-1.35=2.30

you would add -1.35 to the other side

so then you have

m=3.65

which is how much money she had to begin with

Answer:

B

Step-by-step explanation:

m - 1.35 = 2.30

2 Points
For this graph, mark the statements that are true.

A. The Range is set of all real numbers

B. The Range is the set of real numbers greater than or equal to zero

C. The domain is the set of all real numbers

D. The domain is the set of all real numbers greater than equal to zero

Answers

Answer:

B. The Range is the set of real numbers greater than or equal to zero

C. The Domain is the set of all real numbers .

Step-by-step explanation:

The Domain is the set of real numbers for which the function is defined. In this case, the Domain is the set of all real numbers .

The Range is the set of real numbers that are connected to the elements of the domain. In this case, you see that only real numbers above (or in the) x-axis are connected to the x-values of the domain. Then another answer to check is;

B. The Range is the set of real numbers greater than or equal to zero.

what is the coefficient of x^2 y^3 in the expansion of (2x+y)^5

Answers

If it's x²y³ then we know it's the second term of the expansion, that known we can use the combination

C(5, 2) = 5!/(2!.3!) = 10

Then if we had something like

(a + b)^5 our second term would be 10a²b³ but as we can see it's "a²"

And in our case we have 2x as a

So we must do 2² too

2² = 4

10 . 4 = 40

Then our second term of the expansion would be

40x²y³

the slope of the line that passes through the points (7,1) and (x,4). What is the value of w?

Answers

Answer:

  bbb

Step-by-step explanation:

bbb  idk sorry x

Trevor drew lines of best fit for two scatter plots, as shown. Which statement describes the placement of the lines Trevor drew?

Answers

Answer:

A)Only Line A is well placed line of best fit

Step-by-step explanation:

Best fit line :A line through a scatter plot of data points that best expresses the relationship between those points is called best fit line

The least-squares method provides the closest relationship between the dependent and independent variables by minimizing the distance between the residuals and the line of best fit

By considering both the given graphs

We can see that Line A gives the minimum distance between residuals and line of best fit whereas Line B does not give the minimum distance between residuals and line of best fit

So,Option A is true

A)Only Line A is well placed line of best fit

Answer: a) only line A is a well placed line of best fit

Step-by-step explanation:

→ Help! ← (please? qwp)

Answers

Answer:

1,3,6prop. 245notprop

I'm gonna pack my things and leave you behind

This feeling's old and I know that I've made up my mind

I hope you feel what I felt when you shattered my soul

'Cause you were cool and I'm a fool

So please let me go

But I love you so (please let me go)

I love you so (please let me go)

I love you so (please let me go)

I love you so

Raise -2 to the double of b and divide the result by the quadruple of a. A=-4 and B =+3.

Answers

Answer: - 4

Step-by-step explanation:

Given that A = - 4, B = 3

According to the instruction :

Raise -2 to the double of b and divide the result by the quadruple of a. A=-4 and B =+3

Raise - 2 to the double of b ;

Result = (-2)^(2*3) = (-2)^6 = 64

Divide result by quadruple of a

a = - 4 ;

Quadruple of 'a' means 4 times as many as 'a' = '4 * a' quadruple of a = (-4) * 4 = - 16

= (-2)^6 / -16

64 / - 16

64 / - 16 = - 4

If f is a function such that [tex]\lim_{x \to a} \frac{f(x)-f(a)}{x-a} =5[/tex], then which of the following statements must be true? A) f(a) = 5 B) The slope of the tangent line to the function at x = a is 5. C) The slope of the secant line through the function at x = a is 5. D) The linear approximation for f(x) at x = a is y = 5

Answers

Answer:

Option D). is correct choice.

Step-by-step explanation:

The linear approximation for f(x) at x = a is y = 5

Best Regards!

Simplify √2/3√2 A : 2 1/6 B: 2 5/6 C: 2 3/2 D: 2 1/3

Answers

Answer:

a

Step-by-step explanation:

the bed on jeffs pick up truck is 8 feet lomg. On a scale model of his truck the bed is 10 inches long. what is the scale of the model?

Answers

i think it would be 9.6 inches because 8 feet is 96 total inches so you could divide that by 10 getting every inch on the model to represent 9.6 inches on jeffs truck totaling at 96 inches or 8 feet

What is the difference between the measure of an arc and arc length? Explain.

Answers

Answer:

The measure of an arc is a degree or radian measure of how wide the arc is.  Arc length is the length of the segment inside the arc on the circumference of the circle.

Step-by-step explanation:

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