Help please !Write a rule to describe the function shown.

x y
−3 9
−1 3
0 0
3 −9
y = 3x
y = −3x
y equals start fraction one over three end fraction x
y equals negative start fraction one over three end fraction x

Question 2 (Multiple Choice Worth 5 points)

(04.03 MC)

What is the slope of the line joining (10, 9) and (40, 3)?

−5
−4
negative start fraction one over five end fraction
start fraction one over five end fraction

Answers

Answer 1
Answer:

Answer:

(1) Required function is  y=-3x . (2) Slope of line is -(1)/(5) .

Step-by-step explanation:

1)

The function passing through (-3,9), (-1,3), (0,0) and (3,-9).

From these points it is noticed that the value of function decrease by 6 if the value of x increases by 2 and y-intercept is (0,0).

m=\frac{\text{change in y}}{\text{change in x}}=(-6)/(2)=-3

Slope intercept of a line is

y=mx+b

Where, m is slope and b is y-intercept.

So, function is defined as

y=-3x+0

y=-3x

The required function is  y=-3x .

2)

It is given that the line joining two points (10, 9) and (40, 3).

Slope of line is

m=(y_2-y_1)/(x_2-x_1)

m=(3-9)/(40-10)=(-6)/(30)=-(1)/(5)

Therefore slope of line is -(1)/(5) .


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X^2 - 6x = -9 Solve using the quadratic formula. Approximate answers to the nearest tenth.
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David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?Square with an inner frame with height of 2ft on the left frame and width of 3ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x.


2x2 + 14x − 2 = 0
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Answers

Represent the thickness of the frame by x. Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,
                                 
                                                A = (3 + 2x)(2 +2x) = 8

The equation above can be simplified into 4x^2 + 10x -2 = 0. This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice. 

Answer:

The answer above is correct i took the test

Step-by-step explanation:

Find (fog)(x). f(x) = 2x g(x) = x + 6

write your answer as a polynomial in simplest form.
(f•g)(x)=​

Answers

Answer: (f•g)(x)=​2x²+12x

Step-by-step explanation:

(f•g)(x) is the same as saying f(x)•g(x). Since we have f(x) and g(x), we can just multiply them together.

(f•g)(x)=​2x(x+6)                [distribute by FOIL]

(f•g)(x)=​2x²+12x              

Now, we know that (f•g)(x)=​2x²+12x.

Trevor's family bought 5 tickets to a baseball game. 2 tickets were discounted by $15for children under the age of 3? If Trevor's family spent $145 for tickets to the game,
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Answers

Answer: The 3 tickets without the discount are $19 and the two tickets that were discounted were $44

Step-by-step explanation:

The areas of two similar polygons are in the ratio 64:81. find the ratio of the corresponding sides.

Answers

If the areas of two similar polygons are in the ration 64:81, then the ratio of their corresponding sides are (8)/(9)

What are polygons?

"A polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross."

The simple polygons are triangles (3 sides), quadrilaterals (4 sides), and pentagons (5 sides).

Now if we take the given polygon as square (4 sides).

Then,

Let the sides of squares are a and b.

(a^(2) )/(b^(2) )=(64)/(81) \n(a)/(b)=\sqrt{(64)/(81) } \n(a)/(b)=(8)/(9)

Hence, the ratio of the corresponding sides of polygon is (8)/(9)

Learn more about the polygons here

brainly.com/question/24464711

#SPJ2

Answer is 8:9. The easiest example is a square. If the polygons are squares with areas of 64 and 81 then the sides of the squares are 8 and 9. Therefore, the ratio of the corresponding sides is 8:9

Simplify the product using the distributive property.(3h² - 7) (3h² - 6)
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Answers

None of the above.  The correct expansion is 9h^4-39h^2+42.