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Effectus [21]
2 years ago
6

Every time x increases by 1,y decreases by 3,and when x is -6,yis-3.which function models the realation ship between x and y?

Mathematics
2 answers:
Levart [38]2 years ago
5 0
I think that it would be B because -6x-3 seems to follow the rules given here.
oksian1 [2.3K]2 years ago
4 0

Answer:

D. y=-3x-21

Step-by-step explanation:

We have been given that every time x increases by 1,y decreases by 3. This means that slope of our given line is negative 3.

We will use slope-intercept form of equation to find the required function.

y=mx+b, where,

m = Slope of line,

b= The y-intercept.

Upon substituting m=-3 and x=-6 and y=-3 in slope-intercept form of equation, we will get,

-3=-3\times -6+b

-3=18+b

-3-18=18-18+b

-21=b

Upon substituting m=-3 and b=-21 in slope-intercept form of equation, we will get our required equation as:

y=-3x-21

Therefore, option D is the correct choice.

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Bas_tet [7]
Answer: B. -(x-2)^2 + 3

The vertex of the parabola is (2,3) so we can plug in those values into the equation for vertex form. And the parabola is facing down, so we know the function is multiplied by -1.

Therefore the equation is -(x-2)^2 + 3

Look at the attached image to see what vertex form is

3 0
2 years ago
Read 2 more answers
* 6. You plan to rent a car from XYZ Car Rental Company for a flat rate of $35 a day.
Anni [7]

Answer:

f(x) = \left \{ {{35x + 10, x \leq 3} \atop {35x + 5x = 40x, x>3}} \right.

Step-by-step explanation:

Let x be the number of days you want to rent

The flat rate for car rental is $35 a day

As for insurance, $10 for 3 days or fewer, and $5 per day if more than 3 days that is

\left \{ {{10, x \leq 3} \atop {5x, x>3}} \right.

Combine this with the flat rental rate $35 a day and we have

f(x) = \left \{ {{35x + 10, x \leq 3} \atop {35x + 5x = 40x, x>3}} \right.

7 0
2 years ago
The Patel family went apple picking. The number of red apples they picked was 2 __ 2 9 times the number of green apples they pic
miskamm [114]

Answer:

100

I first made 45 a fraction = 45/1

Then i made 2 2/9 into an improper fraction

then make my equation

45/1 ×20/9=100

answer is 100 red apples

Step-by-step explanation:

6 0
2 years ago
In a scale drawing of an apartment 1 centimeter represents 2 3/4 feet. if the length of the kitchens is 4 1/2 cm on the scale dr
rusak2 [61]
Given: 1 cm = 2 3/4 ft ; kitchen length = 4 1/2 cm
2 3/4 = 11/4; 4 1/2= 9/2

11/4 x 9/2 = 99/8 =12 3/8

OR You could use decimals

2 3/4 = 2.75 ; 4 1/2 = 4.5
2.75 x 4.5 = 12.375
12.375 = 12 375/1000 or 12 3/8
5 0
2 years ago
A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle. Using the 45°
Radda [10]
A wall is in the shape of a trapezoid and it can be divided into a rectangle and a triangle. A triangle is with angles 45°- 45° - 90°. The hypotenuse of that triangle is 13√2 ft.Using the 45° - 45° - 90° theorem, sides of that triangle are in the proportion:x : x : x√2, and since that x√2 = 13√2 ( hypotenuse ),  x = 13.Therefore h = 13 ft.We can check it: c² = 13² + 13²,c² = 169 + 169c² = 338c = √ 338 = 13√2Answer: h = 13 ft

8 0
2 years ago
Read 2 more answers
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