Use the ALEKS graphing calculator to solve the system of equations.
y=-2x² - 4x-1
y = 3x+10
Round to the nearest hundredth.
If there is more than one solution, use the "or" button.
If applicable, click on "No solution".
(x, y) = (0
or
No
Solution
X
$
?

If the equation is

- sin²(x) = cos(2x)

rewrite the left side using the Pythagorean identity,

sin²(x) = 1 - cos²(x)

and the right side using the double angle identity for cosine,

cos(2x) = 2 cos²(x) - 1

Then the equation transforms to

- (1 - cos²(x)) = 2 cos²(x) - 1

Solve for cos²(x) :

-1 + cos²(x) = 2 cos²(x) - 1

cos²(x) = 0

Take the square root of both sides to get

cos(x) = 0

Solve for x :

x = cos⁻¹(0) + 2nπ   or   x = cos⁻¹(0) - π + 2nπ

x = π/2 + 2nπ   or   x = -π/2 + 2nπ

where n is any integer. We get solutions in the interval [-π, π] when n = 0, giving the solutions

x = π/2   or   x = -π/2

Answer:

y=1

10/5=2

Step-by-step explanation:

A. $ 58.50

B. $ 80

C. No, it did not mark up 30%.

Step-by-step explanation:Since,

A. We have,

Mark up percentage = 30%

Actual price = $ 45,

B. We have,

SP = $ 104,

C.  We have,

AP = $ 75,

SP = $100,

Thus, mark up percentage =

= 33.33 %

Hence, store did not mark up the price by 30%.

Answer:

k = -2

Step-by-step explanation:

-5 + 7k = -19

7k = -14

k = -2

Answer:

C. NUMBER OF DOWNLOADED SONGS

Step-by-step explanation:

Among the following, the independent quantity in the function:

amount of remaining MP3 player memory as a function of downloaded songs is

The remaining memory will depend on the number of songs downloaded. So, the number of downloaded songs is considered as the independent variable while the remaining memory is the dependent variable.

Answer:

Easy, 358

Step-by-step explanation:

because 2 new mp3 players are $465 and have new storage.

While 1 new mp3 player is $107 but it has less storage.

So we subtract because it's asking us the difference between the price of the $465 and the $107.

465

- 107

--------

358

Answer:

A

Step-by-step explanation:

P represents the page of number and she likes to read FEWER than 400 or equal to it. P < 400 says that she likes to read pages that are fewer or equal to 400 pages.

The inequality that represents the number of pages p is p ≤ 400.

Option A is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Number of pages = 400 or fewer

This means,

Number of pages ≤ 400

Thus,

p ≤ 400

where p is the number of pages.

Learn more about inequalities here:

https://brainly.com/question/20383699

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Answer:

it will be 0.65

Step-by-step explanation:

Answer:

The Answer is .35 or 35%

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Answer:

Following are the solution to this question:

Step-by-step explanation:

For this set, the correlation coefficient is = -0.015.

It shows that financial variables have trust issues. Once a price rises, the other one is decreasing the value of -0,015 shows, that there are several fewer associations in the set of data among x and y and between y values. This interaction also can range between -1 to 1, to 0 being completely unrelated. But you'd never be sure, in this situation, 0.015 is very similar to 0.

It means that your prediction is nothing better than just a wild choice. Its odds of an estimated value being relatively close to the actual result are therefore much smaller as the points are it's hardly the best match.

Answer:

[tex]2\cdot2\cdot2[/tex] = [tex]2^{3}[/tex]

Step-by-step explanation:

[tex]---------------------------------[/tex]

[tex]Writing[/tex] [tex]exponents[/tex] [tex]is[/tex] [tex]fairly[/tex] [tex]easy.[/tex]

[tex]Here's[/tex] [tex]an[/tex] [tex]example:[/tex]

[tex]5\cdot5\cdot5\cdot5\cdot5[/tex] = [tex]5^{5}[/tex] [tex]because[/tex]

[tex]there[/tex] [tex]are[/tex] [tex]5[/tex] [tex]fives[/tex] [tex]that[/tex] [tex]are[/tex] [tex]being[/tex] [tex]multiplied.[/tex]

[tex]---------------------------------[/tex]

[tex]Always[/tex] [tex]remember,[/tex] [tex]you[/tex] [tex]don't[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]whole[/tex] [tex]number[/tex] [tex]by[/tex] [tex]the[/tex] [tex]exponent.[/tex]

[tex]---------------------------------[/tex]

[tex]Here's[/tex] [tex]an[/tex] [tex]example:[/tex]

[tex]6^{7}[/tex] [tex]does[/tex] [tex]not[/tex] [tex]equal[/tex] [tex]42[/tex] [tex]because[/tex] [tex]you[/tex] [tex]have[/tex] [tex]to[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]6[/tex] [tex]the[/tex] [tex]number[/tex] [tex]of[/tex] [tex]times[/tex] [tex]it[/tex] [tex]says[/tex] [tex]on[/tex] [tex]the[/tex] [tex]exponent.[/tex]

[tex]Which[/tex] [tex]means[/tex] [tex]you[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]six,[/tex] [tex]seven[/tex] [tex]times.[/tex]

[tex]---------------------------------[/tex]

Hope this helps! <3

[tex]---------------------------------[/tex]

Answer:

53/100 or 0.53 i think thats right

Answer:

4# 4x2 + 6x - 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x^2+2x-5+3x^2+4x-1=4x^2+6x-6=4x^2+6x-6

Hope you'll find it helpfull

Answer:

Step-by-step explanation:

[tex]\frac{2}{3} \times 4\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\times c=\frac{a\times c}{b}\\\\\frac{2}{3}\times \:4=\frac{2\times \:4}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:\\2\times \:4=8\\\\=\frac{8}{3}[/tex]

Given:

Triangle ABC is reflected across the y-axis to form the triangle A'B'C'.

Then dilated  with a factor of 1/3 to form triangle A"B"C".

To find:

The correct statement for triangles ABC and A"B"C".

Solution:

We know that reflection is a rigid transformation, it means size and shape of the figure remains same after reflection.

So, figures are always congruent to their images after reflection.

[tex]\Delta ABC\cong Delta A'B'C'[/tex]       ...(i)

Dilation is not a rigid transformation. Here, shape remains same nut the size is different.

So, figures are always similar to their images after dilation.

[tex]\Delta A'B'C'\sim \Delta A"B"C"[/tex]        ...(ii)

Using (i) and (ii), we get

[tex]\Delta ABC\sim \Delta A"B"C"[/tex]

ΔABC and ΔAB"C" are similar triangles.

Therefore, the correct option is A.

Answer:

x = 89

Step-by-step explanation:

3x - 18 + 105 = 180

3x - 87 = 180

    + 87     + 87

3x = 267

/ 3     / 3

x = 89

Answer:

y=2x+6

slope intercept form: y=mx+y-intercept

m=slope

Answer:

D

Step-by-step explanation:

Answer:

Answer:

720

Step-by-step explanation:

To solve a problem like this, you do: !6

This basically means 6*5*4*3*2*1

6*5 = 30

30*4=120

120*3=360

360*2=720

720*1=720

Answer:

$14

Step-by-step explanation:

56 × 0.25 = 14

to check this, you can divide 14 ÷ 56 = 0.25

to turn a percentage into a decimal, just divide it by 100

Answer:

F = 9 over 5C + 32

Step-by-step explanation:

Let's consider the following equation that shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F.

C = 5 over 9(F − 32)

C = 5/9 (F − 32)

To solve for F, first, we will multiply both sides by 9/5.

C × 9/5 = 5/9 (F − 32) × 9/5

9/5 C = F − 32

Now, we add 32 to both sides.

9/5 C + 32 = F − 32 + 32

9/5 C + 32 = F

F = 9 over 5C + 32

Answer:

F = 9 over 5C + 32

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If you subtract 4 and add 16 you get 37

The square root of 36 is 6 and the square root of 49 is 7

so since 37 is closer to 36 it has to be than 7 and a little more than 6

Answer:

A. between 6.0 and 6.2

Step-by-step explanation:

solver using order of operations (PEMDAS)

[tex]\sqrt{25-4+16} \\\sqrt{21+16} \\\sqrt{37}\\6.08[/tex]

now that we have our answer we can see what numbers it fall between which are 6.0 and 6.2, giving us answer A

Answer:

A= l×l

= 13×13

A= 169

P= 4l

= 4×13

= 52

so the answer is C

Answer:

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

Step-by-step explanation:

This could be a possible equation, the signs of the of the roots are always the opposite in the equation form.

Answer:

4 (2x +9)

Step-by-step explanation:

Let me know if I'm wrong pls

Answer:

mean is 82, Median is 84, mode is 81  

Step-by-step explanation:

The mean of the given data set is 82, median is 84 and mode is 81.

The given data set is 81, 87 93, 89, 61, 81.

The median is the value that's exactly in the middle of a dataset when it is ordered.

Now, the ordered pair is 61, 81, 81, 87, 89, 93.

Median = (81+87)/2

=168/2

=84

Mean = Sum of all the observations/Number of observations

= (61 + 81 + 81 + 87 + 89 + 93)/6

= 492/6

= 82

Mode = The mode is the value that appears most frequently in a data set.

Here, 81 is the most frequently in the given data set.

Therefore, the mean of the given data set is 82, median is 84 and mode is 81.

To learn more about the arithmetic mean visit:

https://brainly.com/question/23706022.

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Answer:

1778.68 I think

Step-by-step explanation:

Answer:

605

I just got confused sorry.