Solve the system by substitution.



9y - 6 = x
2x - 8y = 18​

9514 1404 393

Answer:

  B) (2, -5)

  D) (3, 0)

Step-by-step explanation:

I find it convenient to let a graphing calculator plot the points and the graph.

The only two points on the graph of the curve are ...

  (2, -5) and (3, 0)

Answer:

With replacement, there are 1600 possible outcomes.

Without replacement, there are 1560 possible outcomes.

Step-by-step explanation:

Chosen with replacement:

State is chosen, then put back in the group, then another state can be chosen. In both cases, there will be 40 possible outcomes, as the first taken state is placed back. So

40*40 = 1600

With replacement, there are 1600 possible outcomes.

Chosen without replacement:

State and chosen and is not replaced.

So, for the second state, there will be only 39 possible outcomes.

40*39 = 1560

Without replacement, there are 1560 possible outcomes.

Answer:

A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]

Step-by-step explanation:

We are given the following functions:

[tex]f(x) = x^2 + 1[/tex]

[tex]g(x) = x - 4[/tex]

Which value is equivalent to f x g?

We multiply these functions, applying the distributive property. So

[tex]f \times g = (x^2+1)(x-4) = x^3 - 4x^2 + x - 4[/tex]

A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]

Answer:

192 is the answer

Step-by-step explanation:

Answer:

SA = 272 sq in

Step-by-step explanation:

SA = 2(8 x 2) + 2(8 x 12) + 2(2 x 12)

= 2(16) + 2(96) + 2(24)

= 32 + 192 + 48

= 272 sq in

Answer: there are 48 students in the class

Step-by-step explanation:

let x = the total number of students in the class

1 - 1/3 = 2/3

1/4 * 2/3 = 2/12 = 1/6

1/3x + 1/6x + 24 = x

2/6x + 1/6x + 24 = x

3/6x + 24 = x

1/2x + 24 = x

24 = x - 1/2x

24 = 1/2x

24 * 2 = x

x = 48

there are 48 students in the class

Answer:

statistic

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

Answer: Your question has some missing data attached below is the missing data

Answer : Mean value is Greater

Step-by-step explanation:

The relative value of the mean for original data set is greater

Relative value of median for original data set is lesser

This is simply because the The distribution is generally skewed to the right ( Right skewed )

Answer:

the median of this list is 78

Answer:

the weight of the bar is 130 pounds

Answer: realsies

Step-by-step explanation: w manz

Answer:

Is that actually your hw-?

Step-by-step explanation:

Answer:

Well dang

Step-by-step explanation:

Answer:

Ok so I know the angle is acute

Step-by-step explanation:

because the angle looks smaller than a 90 degree angle...

Answer:

O y = 2x + 3

Step-by-step explanation:

Answer:

y= 18.582

⨝⨝⨝⨝⨝⨝⨝⨝⨝

Answer:

Step-by-step explanation:

5y+8=-6

-8

5y=-14/5

y=-2.8

Answer:

y = - 2.8

[tex]y=-2\frac{4}{5}[/tex]

Step-by-step explanation:

5y + 8 = - 6

5y + 8 - 8 = - 6 - 8

5y = - 14

5y ÷ 5 = - 14 ÷ 5

y = - 2.8

Answer:

6 (may change if multiple number cubes are used; 2 dice = 6^2, 3=6^3, so on)

Answer:

12

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Find two points on the line  (0,2) and (3,1)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (1-2)/(3-0)

   = -1/3

Answer:

A

Step-by-step explanation:

1) take two points of the line

A(0,2) ; B(3,1)

2) use this formula for find the slope

(y2-y1)/(x2-x1)

(1-2)/(3-0)

slope = -1/3

Answer:

H0 : μ = 18000

H1 : μ < 18000 - - - > Claim

Test value = - 3.578

Critical value = ±2.58

There is significant evidence to accept the claim that mean debt at graduation is less than $18000

Step-by-step explanation:

H0 : μ = 18000

H1 : μ < 18000

From the data:

Sample size, n = 30

Sample mean, x = 16298.37

The test statistic :

(16298.37 - 18000) ÷ (2605/sqrt(30))

−1701.63 / 475.60575

= - 3.578

The critical value :

Using the standard normal table;

Critical value at α = 0.01

Critical value = ±2.58

Decison region :

|test statistic | > |Critical value | ; reject H0

|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000

Answer:

It's 2/15

Step-by-step explanation:

Step-by-step explanation:

velocity = distance/time taken

distance=velocity ×time taken

distance=80×4

distance=320kilometers

Answer:

14x-9

Step-by-step explanation:

Answer:

5x -3y + 11 = 0 .

Step-by-step explanation:

Firstly let's find the slope of the line by converting the equation into slope intercept form as ,

=> 3x +5y = 7

=> 5y = 7 - 3x

=> y = (7-3x)/5

=> y = -3/5x + 7/5

=> m = -⅗

Now the slope of the line perpendicular to this line will be , say m'

=> m' =- 1/m

=> m' = -1/-⅗

=> m = 5/3

=> ( x - x1) m = ( y - y1)

=> ( x - (-1)) × 5/3 = y - 2

=> ( x +1)×5 = 3( y -2)

=> 5x + 5 = 3y -6

=> 5x - 3y +5 +6=0

=> 5x -3y +11 = 0

Answer:

[tex]\sqrt{3}[/tex]  sqrt(3)

Step-by-step explanation:

Pythagroean theorem shows that x^2+sqrt(2)^2=sqrt(5)^2

In other words,

x^2+2=5

x^2=3

x=sqrt(3)

Answer:

Acute

Step-by-step explanation:

All triangles have to have a acute or it would be to big

Answer:

yes it is because its a triangle and its acute

Answer:

The answer is 15 ounces

Step-by-step explanation:

33/4 ÷ 4 pounds.

(4 × 3 + 3)/4 ÷ 4 pounds.

15/4 ÷ 4 pounds.

15/4 × 1/4 pounds.

15/16 pounds.

Now we know that, 1 pound = 16 ounces.

So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.

Thus, The answer is 15 ounces

Answer: 512

Step-by-step explanation:

Hello, I hope the answer is correct if not let me know and i will work step by step on it with you. Your welcome and Happy to help.

The surface area of the design is 384 inches².

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

The given design is a cube.

All the sides are of the length 8 inches.

The formula to find the surface area of a cube is,

Surface area = 6a², where "a" is the length of a side of the cube.

Given, a = 8 inches

Surface area of the design = 6 × 8²

                                             = 6 × 64

                                             = 384 inches²

Hence the given design has the surface area of 384 inches².

Learn more about Surface Area here :

https://brainly.com/question/29298005

#SPJ2

You can find the volume of a sphere by multiplying the volume of a cylinder by 4/3: D. sphere.

Mathematically, the volume of a sphere can be calculated by using this formula:

V = 4/3 × πr³

Where:

Note: The volume of a cylinder is equal to πr² × r.

Thus, 4/3 × πr² × r = 4/3 × πr³ (Volume of a sphere).

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × πr²h

Note: The volume of a cylinder is equal to πr²h.

Therefore, 1/3 × πr²h (volume of a cone).

Mathematically, the volume of a pyramid is calculated by using this formula:

Volume = 1/3 × base area × height

Volume = 1/3 × πr²h.

In Geometry, the length of a rectangular prism and the height of a rectangle pyramid are the same. Thus, the length of this rectangular pyramid is equal to 10 cm.

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × πr²h

V = 1/3 × 3.14 × 6² × 10

Volume, V = 376.8 cm³.

Read more on volume of a cone here: https://brainly.com/question/3029844

#SPJ1

Answer:

Evaporation changes liquid water and even soled water (ice) to water vapor, which is a gas. This all part of the water cycle

Step-by-step explanation:

thank you