Mathematics High School

(x 2 + 2x - 1)(x 2 + 2x + 5) Please help asap!

Answers

Answer 1
Hi there!

To solve this equation, we can use distributive property.

I listed the terms you have to multiply :
x² × x² = x^4
x² × 2x = 2x³
x² × 5 = 5x²
2x × x² = 2x³
2x × 2x = 4x²
2x × 5 = 10x
-1 × x² = -x²
-1 × 2x = -2x
-1 × 5 = -5

Add all of them....
x^4 + 2x³ + 5x² +2x³ + 4x² + 10x - x² - 2x - 5
add up the like terms to simplify

x^4 + 4x³ + 8x² + 8x - 5

Hope this helped! :)

Related Questions

If 3x + 8 = 5x - 6, then what is the value of 10x?

Answers

3x + 8 = 5x - 6
3x + 8 - 5x = 5x - 6 - 5x
-2x + 8 = -6
-2x + 8 - 8 = -6 - 8
-2x = -14
-2x/-2 = -14/-2
x = 7

10x
10 (7)
70
The value of 10x is 70. The value of x is 7.

Answer please anybody

Answers

Hi there.

f(x) = 2x + 1 
g(x) = x^2 - 7
(f - g)(x);
(2x + 1) - (x^2 - 7);
-x^2 + 2x + 8.

Your correct answer is C.)

I hope this helps!

The graph of an exponential function is given. Which of the following is the correct equation of the function?

y = 0.65x
y = 2.4x
y = 3.5x
y = 0.32x

Answers

The answer is choice D

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

Explanation:

We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.

The answer is either choice A or choice D

If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625

The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer. 

Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork. 

Which represents the explicit formula for the arithmetic sequence

Answers

[tex] a_{n} =7-3(n-1) \\ [/tex]
7-3(n-1) = 7 - 3n + 3 = -3n +10 [tex]f(n) = -3n+10[/tex]

So the answer is D.

What is the value of b^2 - 4ac for the following equation?

x^2 + 5x + 4 = 0

A: 9
B: 16
C: 25

Answers

x^2 + 5x + 4 = 0
a=1
b=5
c=4
b^2 -4ac =
25 -4 * 1 * 4 =
25 -16 =
9
answer is A



3/5, give the equivalent numerator if the denominator is 80
3
16
48

Answers

its 48. you see how much they multiplied the denominator (5) by, so you do 18 divided by 5 (which is 16). you then do the same to the numerator but instead multiply it by 16 so thats 48.

Vertical line that passes through the point (3,-8)

Answers

Hi there! The answer is x = 3.

All vertical lines have an undetermined slope (since the formula which represents the slope has a denominator of 0). Therefore the general formula of a vertical line is the following x = c, with c representing the x-coordinate of the point that is passed by the line. Therefore, in your situation we get the line x = 3. When we plot this line, we can see it is a vertical line with x-coordinate 3 and that all values of y are passed, also y = - 8.

how is jimthompson so smart?

Also can you please help me with that question.
I got everything except for the Euler Diagram.

Answers

The statement is valid. To set up a Euler diagram, follow these steps

Step 1) Draw a large circle and label it circle A

Step 2) Inside this large circle, draw a smaller circle and label it circle B

Circle A will represent the set of all obtuse angles (any angles that are between 90 and 180 degrees). Circle B represents only one item: the angle value of 150 degrees. All of circle B is inside circle A because 150 degrees is between 90 and 180; therefore, 150 is obtuse. This is simply the definition of what "obtuse" means. 

So if you threw a dart and it landed in circle B, then you know for sure it landed in circle A as well. This is effectively saying "if you get a 150 degree angle, then you know its obtuse"

This is a visual way to back up the conditional statements you used earlier and help add more evidence that the statement "A 150 degree angle is an obtuse angle" is a valid statement. 

find the perimeter of the quadrilateral. if x = 2 the perimeter is

Answers

the perimeter of any shape is equal to the sum of its sides.
then [tex]the perimeter=31+(4x^{2}+8x)+(7x+30)+(3x^{2}-5x+20)[/tex]
[tex] the perimeter= (4x^{2}+3x^{2})+(7x+8x-5x)+20+30+31=7x^{2}+10x+81[/tex]
for x=2
[tex] the perimeter= 7*(2)^{2}+10*2+81=7*4+20+81=28+101=129[/tex] 

Note:
Please double check the substitution but the procedure is 100% right.

Answer:

Step-by-step explanation:

Since perimeter of any polygon is represented by sum of its all sides.

Therefore, perimeter of the given quadrilateral = (4x² + 8x) + (3x² - 5x + 20) + (7x + 30) + 31

4x

the statement 2n^2+5n-25=0 opens up because

Answers

The graph of 2n^2 +5n -25 opens up because the coefficient of n^2 is positive.

____
The statement 2n^2 +5n -25 = 0 defines two values of n.

Please help, I’m kinda confused

Answers

I'm not sure, but I think is 15 :/ Hope it helped

John says the transformation rule (x, y) --> (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?

Answers

For this case we have the following transformation:
 (x, y) -> (x + 4, y + 7)
 The ordered pair to which the transformation is applied is:
 (x, y) = (4, 5)
 Therefore, applying the transformation we have:
 (4, 5) -> (4 + 4, 5 + 7) -----> (8, 12)
 The error for this case is that John made the following transformation:
 (4, 5) -> (4 - 4, 5 - 7) -----> (0, -2)
 That is, rest the numbers instead of adding.
 Answer:
 his error was subtract instead of adding.
 The correct answer is:
 (8, 12)

Answer:


The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.

F(x)=x+2/2 what is the value of f(-8)

A.-4
B.-3
C.-5
D.-6

Answers

Answer: Choice B) -3

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

Work Shown:

f(x) = (x+2)/2
f(-8) = (-8+2)/2 ... replace every x with -8; use PEMDAS
f(-8) = (-6)/2
f(-8) = -3

What is a possible value of sin(theta) when cos2(theta)=0.73?
a.0.37
b.0.63
c.0.26
d.0.74

Answers

We use the following trigonometric identity to answer the question:
 sin^ 2 (theta) + cos^ 2 (theta) = 1
 We substitute the values:
 sin ^ 2 (theta) + 0.73 = 1
 We cleared:
 sin ^ 2 (theta) = 1-0.73
 sin ^ 2 (theta) = 0.27
 Answer:
 a possible value of sin ^ 2 (theta) is:
 c.0.26 (nearest option)

The correct answer is option a. 0.37.

Given that [tex]cos(2\theta) = 0.73[/tex], find a possible value of sin(theta).

It is known that:

[tex]cos(2\theta) = 1-2sin^2(\theta)[/tex].

Substituting the given value:

[tex]0.73 = 1-2sin^2(\theta)[/tex]

Rearrange to solve for sin²(theta):

[tex]2sin^2(\theta)=1-0.73[/tex]

[tex]2sin^2(\theta)=0.27[/tex]

[tex]sin^2(\theta)=0.135[/tex]

So, [tex]sin(\theta) = \sqrt{0.135}\ or\ sin(\theta) = -\sqrt{0.135}[/tex].

Since we are looking for a possible value, we take the positive root:

[tex]sin(\theta) \approx 0.367[/tex]

Considering the options given, the closest possible value is 0.37.

Can someone solve the equation |x+8| = x+8
Thank you!

Answers

Infinite i think. because the two equations are the same. 
Answer)-0

Hope This Helps Human <3

Can anyone help me with these two true/false questions? :)

9. Determine whether the statement is always, sometimes, or never true.

A cubic function has an inverse.

a. always true
b. sometimes true
c. never true

10. Determine whether the statement is always, sometimes, or never true.

A linear function has an inverse relation.

a. always true
b. sometimes true
c. never true

___

Thanks!,

Answers

Answer:

  9.  b. sometimes true

  10.  a. always true

Explanation:

9. Any function will have an inverse relation. This question is not specific as to whether that inverse relation must be a function. We will assume that that is the intent.

The attached graph shows a cubic function with an inverse function (green), and another without (red).

A cubic function will have an inverse function sometimes.

____

10. As stated above, any function will have an inverse relation.

A linear function will have an inverse relation always.

__

The graph shows a linear function with an inverse function (green), and one that has an inverse relation, but not an inverse function (red).

Which of the following decimal numbers equals 4 thousand, 9 hundreds, 2 tens, and 6 ones?

Answers

we have 
decimal numbers equals
 4 thousand---------> 4000
 9 hundreds--------> 900
 2 tens-----------> 20
 6 ones-------> 6
so
[4000+900+20+6]=4926

the answer is 4926

A set of 5 numbers has a mode of 12 a median of 11 a mean of 10 what could the numbers be?

Answers

The median is 11, so 11 is part of the data set. We have an odd number of values (5) which is why the median is part of the data set.

The mode is 12. The value 12 shows up the most times. Let's say it shows up twice. So far the data set is {11, 12, 12}

Let's introduce two more numbers x and y
The new data set is {x, y, 11, 12, 12}

Add up the five values and then divide by 5. We want this result to be equal to 10
(x+y+11+12+12)/5 = 10
(x+y+35)/5 = 10
x+y+35 = 10*5
x+y+35 = 50
x+y = 50-35
x+y = 15

So we don't know what x or y is, but we know that they must add to 15. So all you have to do is list two numbers that add to 15. One such pair is x = 6 and y = 9. Another pair is x = 7 and y = 8. There are infinitely many possibilities if you can use any real number. 

So one possible set is {6, 9, 11, 12, 12}
Another possible set is {7, 8, 11, 12, 12}
A possible answer is 6, 9, 11, 12, and 12. Hope I helped (:

-4x ²-3x+2=0

can you help me solve this

Answers

Answer:

x = (-3 ±√41)/8

Step-by-step explanation:

When you match your equation to the form ...

... ax² +bx +c = 0

you can see that ...

a = -4b = -3c = 2

These are the values you use in the quadratic formua to find the solutions for x.

... x = (-b ±√(b²-4ac))/(2a) . . . . . . the quadratic formula

... x = (-(-3) ±√((-3)² -4(-4)(2)))/(2(-4)) . . . . fill in a, b, c

... x = (3 ±√(9+32))/(-8) . . . . simplify a bit

... x = (-3 ±√41)/8 . . . . . . put the minus sign in the numerator

Alex was thinking of a number. Alex subtracts 14 from it and gets an answer of 29.6. What was the original number?

Answers

29.6 + 14 = 43.6
43.6 - 14 = 29.6

Hope this helped!

In a bag there are 4 blue marbles,8 red marbles, and 5 orange marbles. if two marbles are drawn without replacement find the probability that both marbles are the same color, the second marble being red. the first being blue the second being orange

Answers

P( both same colour) = P(both blue) + P(both red) + P(both orange)

=  4/17 * 3/16 + 8/17 * 7/16 +  5/17 * 4/16  =  3/68 +  7/34 + 5/68  =  11/34 Answer

P( second marble being red)  = P(first marble not being red) * P( second being red)

= 9/17 * 8/16 = 9/17 * 1/2 = 9/34 answer

P(first ble and second orange) = 4/17 * 5/16 =   5/68  answer






A hair salon charges a fixed rate of $25.00 for a haircut and an additional $15 for any other services. Write a function to model the cost of services at the salon and then evaluate the function to determine the cost for a haircut, shampoo, highlight, and blow dry.

Answers

25+15•3= 70 dollars she spent on the hair salon..... dang lotsa money

Answer:

Function : Cost =25 + 15x

Cost for a haircut, shampoo, highlight, and blow dry = $70

Step-by-step explanation:

Hi, to answer this we have to write an equation:

The cost of the services will be equal to the fixed cost for the haircut (25.00) plus the product of the number of additional services (x) and the price of each additional service (15).

Mathematically speaking:

Cost =25 + 15x

To determine the cost for a haircut, shampoo, highlight, and blow dry, we have to substitute x = 3 (because shampoo, highlight, and blow dry are additional services ) in the equation and solve.

Cost = 25+ 15 (3)

Cost = 25+45

Cost = $70

What is the value of x? Please Answer

Answers

The value of x would be 15 degrees.

This is a right angle and right angles are 90 degrees in total.

90-30= 60

We know that the missing part of the angle equals 60 degrees so we divide 60 by 4x.

60/4x=15.

I hope that was clear enough, sorry if it’s not. Have a great day and good luck!

Gina pumps 40 cubic inches of air per second into a balloon. The function below shows the total amount of air f(t) inside the balloon after t seconds. f(w) = 40t + 5 Which statement best describes the y-intercept of the graph of the function?

Answers

The y-intercept of the graph of the function is the initial amount of air inside the balloon (5 cubic inches)
For this case, the first thing you should know is that the intersection with the y-axis occurs when the time equals zero.
 Mathematically we have:
 For t = 0:
 f (0) = 40 (0) + 5
 f (0) = 0 + 5
 f (0) = 5
 Answer:
 The intersection with the y-axis represents the total amount of initial air before starting to pump air.
 The initial air quantity is: 
 5 in ^ 3

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.

R^6 =

B
E
O

Answers

It is B. Since each angle is 60 degrees, if you rotate B counterclockwise 6 times, it means that you rotated B 360 degrees. Therefore, the image of B would be B.

Answer:

B will be at same place after all six rotations.

Step-by-step explanation:

If rotation maps to [tex]60^{\circ}[/tex]

Then [tex]R^6[tex] means six rotations .

The given B after one rotation will shift in place of A

After second rotation will shift in place of F

After third rotation will shift in place of E

After fourth rotation will shift in place of D

After fifth rotation will shift in place of C

After sixth rotation will shift in place of B itself.

Therefore, B will come back to same place after all the required rotations.

Find the slope-intercept form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

(1, -5) and (5, -1)

Answers

To get the slope-intercept form of the line that passes through (1, -5) and (5, -1). You first have to find the slope. The formula for slope is y2 - y1/x2 - x1. For this question, the slope would be 1.After that, substitute the slope and one of the points into the slope intercept form, y = mx + b. Then, solve for b or the y-intercept. Finally, put the slope and y-intercept into slope-intercept form.

Translate three times the sum of a number and five

Answers

three times the sum of a number and five

number = n

the sum of a number and five: n + 5

3 times the sum of a number and five

3(n + 5) is your answer

hope this helps

A line has a slope of -1/2 and a y-intercept of –2. What is the x-intercept of the line? –4, –1, 1 ,4

Answers

to get the x-intercept, we simply set y = 0 and solve for "x".

now, we have the slope and the y-intercept, well, let's plug those two in the slope-intercept form, reason why is called that anyway,

[tex]\bf y=\stackrel{slope}{-\cfrac{1}{2}}x\stackrel{y-intercept}{-2}\implies 0=-\cfrac{x}{2}-2\implies \cfrac{x}{2}=-2\implies x=-4[/tex]

For each value of w, determine whether it is a solution to -56=7(w-3).

Answers

this should help you out!

Can anyone answer this ???

Answers

Mortgage A:
The payment is 190,000*(.0725/12)/(1 -(1 +.0725/12)^(-12*20)) ≈ 1501.71
The total of all payments is 240*1501.71 = 360,410.40, so the interest cost is this amount less the principal, or $170410.40.
Total loan cost = $2800 + 1%*190,000 +170,410.40 = 175,110.40

Mortgage B:
The payment is 190,000*(.0525/12)/(1 -(1 +.0525/12)^-240) ≈ 1280.30
The total of all payments is 240*1280.30 = 307,272.00, so the total interest cost is $117,272.00.
Total loan cost = $2800 +5%*190,000 +117,272.00 = 129,572.00

Mortgage A has a larger total cost than Mortgage B by $45,538.40
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