Graph the system. Tell whether the system has one solution, no solution, or infinitely many solutions. y = –2x + 1 y = –2x – 3

Answer:

Step-by-step explanation:

(2x² - 3x  + 1 )(x - 3) = (2x² - 3x + 1)*x + (2x² - 3x + 1)*(-3)

                               = 2x²*x - 3x*x  + 1*x + 2x²*(-3) - 3x*(-3) + 1*(-3)

                               = 2x³ - 3x² + x -  6x² + 9x - 3

                               = 2x³ - 3x² - 6x² + x + 9x - 3 {Combine like terms}

                              = 2x³ - 9x² + 10x - 3

Answer:

b

Step-by-step explanation:

6 of the numbers are even from a total of 13

6/13 is roughly 46%

Answer:

The probability of choosing a number is ≈46%.

Step-by-step explanation:

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

The number set is:

{1,2,3,4,5,6,7,8,9,10,11,12,13}

The even numbers is:

{2,4,6,8,10,12}

Total outcomes = 13

Number of possible outcomes = 6

The probability of the outcome is:

[tex]P(E)=\frac{6}{13} *100\\ =46.153%[/tex]

≈46%

Hence, the answer is option B.

To know more about probability here

https://brainly.com/question/23017717

#SPJ2

This looks super complicated, but it can actually be solved with the application of a couple of area equations.

Let's establish one fact before we start this question that may have been the reason why this was so confusing for you. No matter what kind of triangle, the area will always be [tex]\frac{1}{2}[/tex] times the length of the base times height.

Alright, with that established, let's start trying to solve for the area.

In this question, we seem to have a triangle with a circle shape taken out of it. We are told to find the area of the shaded area.

The overall equation would be:

[tex]Area_{triangle}[/tex] - [tex]Area_{circle}[/tex]

This makes sense, right? If we find the area of the triangle and subtract the area of the circle within it, it should give us the total shaded area.

Now, let's begin solving for said shaded area:

[tex]Area_{triangle}[/tex] - [tex]Area_{circle}[/tex]

([tex]\frac{1}{2}[/tex] * base * height) - (π*[tex]r^{2}[/tex])

The given base of the triangle is 40 km, the height 27 km, and the circle's diameter is 12. Therefore:

([tex]\frac{1}{2}[/tex] * 40 * 27) - (π * [tex](\frac{12}{2})^{2}[/tex])

(540) - (π * [tex]6^{2}[/tex])

540 - 36π

Use 3.14 as the value for pi:

540 - 36(3.14)

426.96

Round to the nearest tenth:

427.0

Shaded area = 427 ([tex]km^{2}[/tex])

If you have any questions on how I got to the answer, don't be afraid to ask!

- breezyツ

Answer:

Expand:5x+3y

Simplify:6x^2+11xy-10y^2

Step-by-step explanation:

2x(3x-2y)+5y(3x-2y)

6x^2-4xy+15xy-10y^2

6x^2+11xy-10y^2

Answer:

first give options it is very hard to do

Answer:

XZ = 42

Step-by-step explanation:

By the property of similar triangles,

"If two triangles are similar, their corresponding sides will be proportional."

By applying the property of similarity in ΔABC and ΔXYZ,

[tex]\frac{AB}{XY}= \frac{BC}{YZ}= \frac{AC}{XZ}[/tex]

[tex]\frac{4}{24}=\frac{8}{48}= \frac{7}{XZ}[/tex]

[tex]\frac{1}{6}= \frac{7}{XZ}[/tex]

XZ = 42

Therefore, length of unknown side XZ = 42 units.

Answer: d. Date

Step-by-step explanation:

Some of the information printed on the bottom of a check include the check number which is typically a security measure that is used in the identification of payment so as to prevent fraud.

The routing number also informs the bank where the funds for the check can be found.

The account number informs the person that collects the check about the account that the money is coming from.

We should note that the date is at the top of the check and one has to fill it himself or herself before giving the check to the recipient.

Answer:

-22

Step-by-step explanation:

Use inverse operations.

So, if Sushil last divided, we would need to multiply.

-5*3 =-15

After multiplying, we should subtract the positive seven from negative fifteen.

-15-7 =-22

Answer:

$2.25

Step-by-step explanation:

1. 20-6.50= 13.50

2. 13.50/6(pieces of candy) = $2.25

Answer:

( C ) 428.1 ft²

Step-by-step explanation:

Alright, we know the surface area of a shape is the area the entire outside covers. So, we just need to find the areas of each side and add them together.

Let's start with the two rectangular sides. The dimensions of both of these are 10×12. The area of rectangles can be calculated by multiplying the length and width, so let's do that. Then, we will multiply this answer by two, so we have the areas of both rectangles.

10 · 12 = 120

120 · 2 = 240

The area of the two rectangular sides is 240 ft². We have 3 sides left to solve for.

Next, we will find the area of the triangular sides. Again, we will multiply the answer by two so we have the area of both. The area of the triangle can be found by multiplying [tex]\frac{1}{2}[/tex] the width by the height.

4.5 · 8.9 = 40.05

Multiply this by two for the area of both sides.

40.05 · 2 = 80.1

The area of the triangle sides is 80.1 ft².

The last side is also a rectangle, with the dimensions 9×12.

9 · 12 = 108

The bottom side has an area of 108 ft².

Now, we can add the areas together.

240 + 80.1 + 108 = 428.1

The surface area of the shape is 428.1 ft². The answer is C.

I hope this helps ^^

Good luck :)

Answer:

You are more likely to grab a red marble. You are less likely to grab a green marble.

Step-by-step explanation:

6/16 is greater than 5/16. The bigger the number, the higher the probability.

Have a great day!

Answer:

y=25

2 of the y's = 50 in total

Step-by-step explanation:

180-115=x

x=65

180-90-65=y

y=25

Answer:

x > 0

y > 0

Step-by-step explanation:

The first quadrant is the quadrant formed by the positive x-axis and the positive y-axis.

And we know that all the elements in this quadrant are larger than zero.

Then, a point (x, y) is on the first quadrant only if:

x > 0

y > 0

Note that we ignore the points with x = 0 or y = 0, this is because these points are shared between quadrants, and these points are not defined as belonging to any quadrant.

Answer:

The angle measure is 43 degrees

Step-by-step explanation:

The right angle adds up to 90 degrees in whole, you already have 47 degrees so you want to subtract 47 from 90, then you will get your answer.

Answer:

2

Step-by-step explanation:

you take you longest side half it and it equals the other two sides

Answer:

c

Step-by-step explanation:

Answer:

sorry not sure

Step-by-step explanation:

Answer:

how can I help u sir...???

Answer:

C. 15

Step-by-step explanation:

Edge 2021

Answer:

4C2 * 6C2 * 5C2

Step-by-step explanation:

White balls = 4

Yellow balls = 6

Red balls = 5

In other to select a total of 6 balls, of which there must be 2 balls each of color white, yellow and red :

That means :

2 red balls from 5 red balls = 5C2

2 balls for 6 yellow balls = 6C2

2 balls from 4 white balls = 4C2

To obtain the number of possible combinations, take the product of the three combinations :

4C2 * 6C2 * 5C2

If bag contains 4 white balls, 6 yellow balls, and 5 red balls then  6 balls can be chosen if there must be 2 balls of each color in 900 ways

permutation is way of selecting and arranging things while combination is way of selecting things .

Given that  bag contains 4 white balls, 6 yellow balls, and 5 red balls

we have to select 6 balls

it's given that there must be 2 balls of each color

So here's how we can select them

2 white balls ,2 yellow balls and 2 red balls

So we have to select 2 white balls out of 4  white balls ,2 yellow balls out of 6 yellow balls and 2 red balls out of 5 red balls

so number of ways of selecting

[tex]{4 \choose 2} \times {6 \choose 2}\times {5 \choose 2}[/tex]

[tex]=6\times15\times10\\\\=900[/tex]

If bag contains 4 white balls, 6 yellow balls, and 5 red balls then  6 balls can be chosen if there must be 2 balls of each color in 900 ways

To learn more about  combination visit :  https://brainly.com/question/25821700

Answer:

b) 3 1/2 units^3

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation: I hope this helps!

Answer:

(6,1) I’m pretty sure because it is the midpoint between the focus and directrix.

Step-by-step explanation:

Answer:

A=70 sq in.

Step-by-step explanation:

Answer:

Infinitely many solutions

Step-by-step explanation:

Both sides are same, it means regardless the value of x the equation is correct. The equation has infinitely many solutions

Answer:

x < -56/3

Step-by-step explanation:

i hope this helps :)

Answer:

x < − [tex]\frac{56}{3}[/tex]

Step-by-step explanation:

-3x-11>45

-3x>56

Both side divide by -3

x>[tex]\frac{56}{-3}[/tex]

x < − [tex]\frac{56}{3}[/tex]