Mathematics High School

Factor this trinomial completely.

2x^2 + 10x + 8

A. 2(x + 4)(x + 1)
B. 2(x – 4)(x – 1)
C. 2(x + 4)(x – 1)
D. 2(x – 4)(x + 1)

Answers

Answer 1
its A. 2(x + 4)(x +1).















Answer 2
The answer is
A. 2(x + 4) (x + 1)

Related Questions

What is the equation of a circle with center (8, 4) and radius 7?

Answers

Final answer:

The standard form of the equation of a circle is given by (x-h)² + (y-k)² = r², where (h, k) are the center and r is the radius. For a circle with center at (8, 4) and radius 7, the equation of the circle becomes (x - 8)² + (y - 4)² = 49.

Explanation:

The equation of a circle in standard form is given by (x-h)² + (y-k)² = r², where (h, k) are the coordinates of the center of the circle and r is the radius. This formula comes from Pythagorean theorem and how a circle is defined as the locus of points equidistant from a given point (the center).

By substituting the given center and radius into this formula, we can write the equation of the specific circle you're asking about. The center of this circle is (h, k) = (8, 4), and its radius is r = 7. Therefore, the equation of the circle is (x - 8)² + (y - 4)² = 7² or (x - 8)² + (y - 4)² = 49.

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Final answer:

The equation of the circle is (x-8)^2 + (y-4)^2 = 49.

Explanation:

The equation of a circle with center (h, k) and radius r is given by the formula:

(x-h)2 + (y-k)2 = r2

In this case, the center is (8, 4) and the radius is 7. So, the equation of the circle is:

(x-8)2 + (y-4)2 = 72

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The average of paula's two test scores must be 80 or more for her to get at least a b in the class. she got a 72 on here first test. what grades can she get on the second test to make at least a b in the class

Answers

She would have to make an 88 or higher to average a B.

Find the derivative of f(x) = negative 10 divided by x at x = -12.

Answers

[tex]f(x)=\dfrac{10}{x};\ D:x\neq0\\\\f'(x)=-\dfrac{10}{x^2}\\\\x=-12\to f'(-12)=\dfrac{-10}{(-12)^2}=\dfrac{-10}{144}=-\dfrac{5}{72}[/tex]

Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x3 and y = x. (10 points)

Answers

See the graph attached.

The midpoint rule states that you can calculate the area under a curve by using the formula:
[tex]M_{n} = \frac{b - a}{2} [ f(\frac{x_{0} + x_{1} }{2}) + f(\frac{x_{1} + x_{2} }{2}) + ... + f(\frac{x_{n-1} + x_{n} }{2})][/tex]

In your case:
a = 0
b = 1
n = 4
x₀ = 0
x₁ = 1/4
x₂ = 1/2
x₃ = 3/4
x₄ = 1

Therefore, you'll have:
[tex]M_{4} = \frac{1 - 0}{4} [ f(\frac{0 + \frac{1}{4} }{2}) + f(\frac{ \frac{1}{4} + \frac{1}{2} }{2}) + f(\frac{\frac{1}{2} + \frac{3}{4} }{2}) + f(\frac{\frac{3}{4} + 1} {2})][/tex]
[tex]M_{4} = \frac{1}{4} [ f(\frac{1}{8}) + f(\frac{3}{8}) + f(\frac{5}{8}) + f(\frac{7}{8})][/tex]

Now, to evaluate your f(x), you need to look at the graph and notice that:
f(x) = x - x³

Therefore:
[tex]M_{4} = \frac{1}{4} [(\frac{1}{8} - (\frac{1}{8})^{3}) + (\frac{3}{8} - (\frac{3}{8})^{3}) + (\frac{5}{8} - (\frac{5}{8})^{3}) + (\frac{7}{8} - (\frac{7}{8})^{3})][/tex]

[tex]M_{4} = \frac{1}{4} [(\frac{1}{8} - \frac{1}{512}) + (\frac{3}{8} - \frac{27}{512}) + (\frac{5}{8} - \frac{125}{512}) + (\frac{7}{8} - \frac{343}{512})][/tex]

M₄ = 1/4 · (2 - 478/512)
     = 0.2666

Hence, the area of the region bounded by y = x³ and y = x is approximately 0.267 square units.

Using the mid-point rule with n = 4, we approximate the area bounded by y = x³ and y = x b as 0.2578125.

To approximate the area of the region bounded by y = x³ and y = x using the mid-point rule with n = 4, we follow these steps:

Determine the points of intersection between y = x³ and y = x. Solving x³ = x, we get the points of intersection at x = 0 and x = 1.

Divide the interval [0, 1] into 4 subintervals, each of width Δx = (1 - 0)/4 = 0.25.

Calculate the midpoint of each subinterval: 0.125, 0.375, 0.625, and 0.875.

Evaluate the functions y = x³ and y = x at these midpoints:

At x = 0.125: y = x³ = 0.125³ = 0.001953125 and y = x = 0.125At x = 0.375: y = x³ = 0.375³ = 0.052734375 and y = x = 0.375At x = 0.625: y = x³ = 0.625³ = 0.244140625 and y = x = 0.625At x = 0.875: y = x³ = 0.875³ = 0.669921875 and y = x = 0.875

Determine the heights of the rectangles by finding the difference between the values of y:

At x = 0.125: Δy = 0.125 - 0.001953125 = 0.123046875At x = 0.375: Δy = 0.375 - 0.052734375 = 0.322265625At x = 0.625: Δy = 0.625 - 0.244140625 = 0.380859375At x = 0.875: Δy = 0.875 - 0.669921875 = 0.205078125

Compute the area of each rectangle (height × width) and then sum them up:

Area at x = 0.125: 0.123046875 × 0.25 = 0.03076171875Area at x = 0.375: 0.322265625 × 0.25 = 0.08056640625Area at x = 0.625: 0.380859375 × 0.25 = 0.09521484375Area at x = 0.875: 0.205078125 × 0.25 = 0.05126953125

Add the areas to get the total approximate area:

0.03076171875 + 0.08056640625 + 0.09521484375 + 0.05126953125 ≈ 0.2578125

Therefore, the approximate area of the region bounded by y = x³ and y = x using the mid-point rule with n = 4 is 0.2578125.

3 4 (2)t/3 = 9 Round your answer to the nearest hundredth. A) 1.62 B) 3.24 C) 8.26 D) 10.75

Answers

The answer is 10.75, or 10.7548875

I am posting my work for an application of integrals problem. I would love to know if anyone else agrees with my work!

Answers

Your work appears to be correct.

The results from a graphing calculator are in agreement.

Which of the following choices is the value of cscΘ?

a) 12/15

b) 9/15

c) 15/12

D) 15/9

Answers

r² = 12² + 9²

r² = 144 + 81

r² = 225

r = √225

r = 15

For Θ,

Base = 9
Perpendicular = 12
Hypotenous = 15


cscΘ = Hypotenous/Perpendicular

= 15/12

Ans:- Option c)15/12

Hope this helps!

Mrs. Cantonwine teaches 2 math classes. There are 28 students in 6A and 21 students in 6B. She divided both classes into groups of equal size. How many students are in a group?

Answers

Hi there!

In order to figure out how many students are in each group, we'll need to find the greatest common factor of the two class sizes. The greatest common factor is 7. This means that 7 students are in each group.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

What is the focus of the parabola? y=−1/4x^2−x+3
Enter your answer in the boxes.
(__ ,__ )

Answers

we know that
the equation of the parabola is of the form
y=ax²+bx+c

in this problem
y=−1/4x²−x+3
where
a=-1/4
b=-1
c=3

 the coordinates of the focus are

(-b/2a,(1-D)/4a)
where
D is the discriminant b²-4ac
D=(-1)²-4*(-1/4)*3-----> D=1+3---> D=4
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> -2

y coordinate of the focus
(1-D)/4a------> (1-4)/(-4/4)---> 3

the coordinates of the focus are
(-2,3)

If a map shows the straight line distance between two cities as 3 1/2 centimeters and the map scale shows that 1 centimeteer equals 100 kilometers what would the actual distance be

Answers

Answer:

The actual distance between the two cities is 350 kilometers

Step-by-step explanation:

Information given to us to answer the question correctly:

Distance between two cities in the map = 3 1/2 centimeters

Scale of the map: 1 centimeter = 100 kilometers

2. What would the actual distance be?

Let's calculate the actual distance between the two cities, this way:

Actual distance = Distance between two cities in the map * Scale of the map

Replacing with the real values:

Actual distance = 3.5 * 100

Actual distance = 350 kilometers

Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x.
m<O = 135
(See picture down below)

a) 45

b) 315

c) 270

d) 67.5

Answers

Draw an imaginary line from the vertex of angle x to the center of the circle.
This divides the 4-sided polygon into two right triangles.  For example, the upper right triangle has an acute angle whose measure is 135 degrees / 2, or 67.5 degrees, and the another acute angle whose measure is x/2.

x/2 and 67.5 degrees are complementary angles, so x/2 + 67.5 deg = 90 deg.  Thus, x/2 = 22.5 deg, and so x = 45 deg.  (answer)

please help asap 50 pts

Answers

I believe the answer is C. If you were to plug in 1 for t, you would get h=22. Thus, the max height is 22 feet, and the time it took to get there was 1 second.

I tried plugging in all the answers, and found that C works the best. Hope that helps.

Good luck!

-RxL

brianna deposit $680.00 into savings account that pays a simple interest rate of 1.29% how much will she earn after 3 years

Answers

Here's the equation for one year:
0.0129(680) + 680
But because it is 3 years:
3(0.0129(680)) + 680
0.0387(680) + 680
We can make it simpler:
1.0387(680)
Multiply:
706.316
We can round up:
She will have $706.32, and earn $26.32

A family drove 2,275 miles from Los Angeles to Atlanta in a time span of 35 hours . Calculate their average speed in miles per hour .

Answers

look at my work in the picture and you’ll see the answer and how i got it

The family drove at an average speed of 65 mph from Los Angeles to Atlanta with a span length of 2275 miles

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The equation for average speed is given as:

Average speed = Total distance / total time

Hence:

Average speed = 2275 miles / 35 hour = 65 mph

The family drove at an average speed of 65 mph from Los Angeles to Atlanta

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Ronald and Tim both did their laundry today. Ronald does laundry every 666 days and Tim does laundry every 999 days.
How many days will it be until Ronald and Tim both do laundry on the same day again?

Answers

It will be 18 days.

We want the least common multiple (LCM) of 6 and 9.  First we find the prime factorization:
6 = 2*3
9 = 3*3

They have a 3 in common; we use this first in the LCM.  Then we take the "leftover" factors, 2 and 3:
LCM = 3*2*3 = 18

Answer:

18

Step-by-step explanation:

Every day for two full weeks (14 days) jimmy records the number of coins in his pocket. he finds that the mean is 27. he decides to remove one sunday's total because it was an outlier. his new mean is 18 coins. how many coins did he have in his pocket on the sunday he removed?
a.18
b.27
c.126
d.144

Answers

(18+x)/2=27
18+x=54
x=36
What have I done wrong?

Answer:

It is D.)144

Step-by-step explanation:

A notebook has a perimeter of 36 inches. It’s area is 80 square inches. What are the dimensions of the notebook

__inches by___ inches

Answers

Let's call he width of the notebook w and the length l

w*l=80

2(w+l)=36
w+l=18
w=18-l

(18-l)*l=80
-l^2+18*l-80=0
l=8 or 10

Therefore, the notebook is 8 by 10 inches


Final answer:

To solve for the dimensions of the notebook, we set up equations based on the perimeter and area, then solved the quadratic equation to find that the dimensions are 10 inches by 8 inches.

Explanation:

To find the dimensions of a notebook with a perimeter of 36 inches and an area of 80 square inches, we will use the formulas for the perimeter and area of a rectangle. The perimeter (P) of a rectangle is 2 times the length (l) plus 2 times the width (w), or P = 2l + 2w. The area (A) of a rectangle is length times width, or A = lw.

Given P = 36 and A = 80, we can set up two equations:

2l + 2w = 36l × w = 80

First, we simplify the perimeter equation to l + w = 18 by dividing everything by 2. We can then express w in terms of l: w = 18 - l. Now, we substitute w into the area equation: l(18-l) = 80. Expanding this gives us a quadratic equation: l2 - 18l + 80 = 0.

To solve the quadratic equation, we look for factors of 80 that add up to 18. The factors are 10 and 8, meaning the length is 10 inches and the width is 8 inches, since l = 10 and w = 8 satisfy both the area and perimeter equations.

Therefore, the dimensions of the notebook are 10 inches by 8 inches.

Write x2 − 2x − 3 = 0 in the form (x − a)2 = b, where a and b are integers.


A.(x − 4)2 = 3

B.(x − 3)2 = 2

C.(x − 2)2 = 1

D.(x − 1)2 = 4

Answers

[tex]x^2-2x-3=0\\\\x^2-2\cdot x\cdot1+1^2-1^2-3=0\\\\(x-1)^2-4=0\ \ \ \ |+4\\\\(x-1)^2=4[/tex]


Answer: D. (x - 1)² = 4.

Used:
(a - b)² = a² - 2ab + b²

Which values in this data set are outliers?

119, 65, 68, 78, 74, 85, 120, 86, 78, 65, 35

Select outlier or not outlier to whether the following numbers are outliers.

35

65

119

120

Answers

The median value is 79.36
M+M/2=119.04...
M-M/2=39.68...

So I think outliers are 120 and 35
Hi There!!

I'm Naarah!!

I'm glad I can be an assistance on helping answer your question!
______________________________________________________________


1. 35 - Not A Outlier
--------------------------
2. 65 - Outlier
-----------------------
3. 119 - Outlier
----------------------------
4. 120 - Outlier
------------------------------



I Really Hope That I Was A Helpful Assistance To You!!
_____________________________________________

I'm Sorry If The Answers I Put Were Wrong.
-------------------------------------------------------------

Have A Great Day Friend :)









Claudia is on a motorcycle trip. She checked the odometer at the beginning of the trip, and it showed 16,789 miles. After 15 days it showed 22,189 miles. If Claudia rode the same number of miles each day how many miles did she ride in a day?
A.360 miles
B 540 miles.
C.771 miles
D.1,479 miles
please help me

Answers

22,189 - 16,789 = 5,400

Total miles = 5,400
Days = 15

Divide total by how many days:

5,400 ÷ 15 =  360

Answer = A.360

Hope this helped :)

22,189 - 16,789 = 5,400

5,400 / 15 = 360

360 miles a day

What is the domain of the function

Answers

5. D (the number under the square root symbol must be greater than or equal to 0. 


Answer:

The domain of the function is x>=-7

Step-by-step explanation:

The domain is all the values that x can take so the function is defined, that means we can find a value of y

The sqrt is defined only for positive values and zero. So the expression in the sqrt must  satisfy that

6x + 42 >=0

We only have to find x

6x >=-42

x>=-42/6

x>=-7

So the answer is D x>=-7

Expand and simplify: (x + 5y) (x − 3y)

Answers

We have the following expression:
 (x + 5y) (x - 3y)
 Rewriting we have:
 x ^ 2 - 3xy + 5xy - 15y ^ 2
 Grouping similar terms we have:
 x ^ 2 - 15y ^ 2 + 2xy
 Answer:
 The complete and simplified expression is given by:
 x ^ 2 - 15y ^ 2 + 2xy
The answer you are looking for is x^2 - 15y^2 + 2xy.

To find this, you must first distribute one set of parenthesis into the other. This will give you "x^2 - 3xy + 5xy - 15y^2. You then combine like terms (-3xy and +5xy), to get "x^2 + 2xy - 15y^2". Finally, you organize the numbers based on their power (highest to lowest). Your final answer would be x^2 - 15y^2 + 2xy.

I hope this helps!

Write an equation that you can use to solve for x.

Enter your answer in the box.

Answers

The given angle ( 47 degrees) and x are supplementary angles, which equal 180 degrees.
 
 So x would equal 180 degrees minus 47 degrees

This can be written as x = 180-47 

x = 133 degrees

133 degrees is your answer

Sue Baker is given a prescription of MECLIZINE 25MG to be taken three times daily. She was given enough for ten days. She has been given her pills following the six "rights" (right resident, right drug, right dosage, right time, right route, right record/documentation). On the start of day four, how many pills should be in the bottle?

Answers

There should be 21 pills.

Assuming she started taking the pills the morning of the first day, 3 pills per day x 3 days = 9 pills.

She had enough for 10 days; 10 days * 3 pills per day = 30 pills

30 pills to begin with - 9 pills taken = 21 pills left

Simplify the questions that aren't crossed on the attachment, thank you

Answers

(3) (x - 2 +3(x +1))/3 = (4x+1)/3

(5) (3(x +1) +4x)/(x(x +1)) = (7x+3)/(x² +x)

(7) same as (5)

(8) (a(a +4))/((a -1)(a +4)) = a/(a -1) . . . . . a ≠ -4

(11) (2a -3b)/(4a(2a -3b)) = 1/(4a)

A box is 10 cm long, 5 cm wide, and 2 cm high. What is the surface area of the box? (S.A. = 2lw + 2lh + 2wh)

Answers

your answer is 160 cm2 all you need to do is look up a calculator online i use calculator soup

Answer:

your answer is 160 cm2

Step-by-step explanation:

ez

Which of the following rates is proportional to $2.50 for 5 cans?

A. $2.00 for 3 cans
B. $4.00 for 7 cans
C. $4.50 for 9 cans
D. $1.50 for 1 can

Answers

C. $4.50 for 9 cans would be the correct answer

Answer:

C. $4.50 for 9 cans

Step-by-step explanation:

ANSWER TRUTHFULLY WILL NAME YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
The ordered pairs (1,5) (2,25) (3,125) (4,625) and (5,3125) represent the function y=5^x. How does this rule represent the function?

A) y=x5
B) y=5x
C) y=5^5=x
D) y=x+5

Answers

For each answer, we can plug in the given points:

A) is technically the same as B), but B) expresses correct function notation.

B) 5 = 5(1) ⇒ 5 = 5
     25 = 5(2) ⇒ 25 ≠ 10
     B) is incorrect.

C) I'm not sure what you mean y=5^5=x, but I'm going to use [tex]y=5^{x} [/tex] because it's close to what you wrote:
[tex]5=5^{1} =\ \textgreater \ 5=5 \\ 25=5^{2} =\ \textgreater \ 25=25 \\ 125=5^{3} =\ \textgreater \ 125 = 125 \\ 625=5^{4}=\ \textgreater \ 625=625 \\ 3125=5^{5}=\ \textgreater \ 3125=3125[/tex]
The function [tex]y=5^{x} [/tex] works for the points given.

D) 5 = 1 + 5 ⇒ 5 ≠ 6
     D) is not correct.

Please check your functions; I'm not sure that C) is a function.  In any case, the answer is C) because all the other answers are wrong.

Gio is studying the rectangular pyramid below.
He believes the surface area, in square millimeters, can be found by simplifying this expression.
(4.2)(9.6)+1/2(4.2)(6.5)+1/2(9.6)(4.8)

What error is Gio making?
He used the wrong values as the bases of the lateral faces.
He used the wrong expression to represent the area of the base of the pyramid.
He used two different values as the heights of the lateral faces. NOT C
He used an expression for surface area that did not include all the faces.
PLZZ HELP

Answers

the answer is A. hope this helps!!!!

The error that Gio is making in finding the surface area of the rectangular pyramid is that He used an expression for surface area that did not include all the faces.

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a rectangular pyramid.

Pyramid consists of one rectangular side and 4 triangular faces of which each pair of triangular faces is identical.

Total surface area of the pyramid is the total surface area of each faces.

Area of rectangular face = (4.2) (9.6)

Area of the triangular faces = [2 × 1/2 × 4.2 × 6.5] + [2 × 1/2 × 9.6 × 4.8]

                                             = (4.2) (6.5) + (9.6) (4.8)

Total area = (4.2) (9.6) + (4.2) (6.5) + (9.6) (4.8)

So his mistake is that he only find the areas of two triangular faces.

Hence the correct option is that He used an expression for surface area that did not include all the faces.

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Rovide an appropriate response.4) assume that adults have iq scores that are normally distributed with a mean of 100 and a standard deviation of 15 (as on the wechsler test). find the iq score separating the top 14% from the others. 4)

Answers

9484 hope i helped u
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