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pochemuha
2 years ago
8

Toni filled her car with gas before going on a road trip. The car uses 1.75 gallons of gas for every hour driven, and after driv

ing for 4 hours, there were 7 gallons of gas left in the tank. Write an equation to show how many gallons are remaining in her car after x hours.
Slope intercept form
Mathematics
1 answer:
balu736 [363]2 years ago
4 0

am sryy i dont rlly know the answer just needed points *-*

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Hal put $3000 into a savings account that earns 6% interest. After 6 years, what will be the total amount of money in his saving
Citrus2011 [14]

Answer:

6000

Step-by-step explanation:

so you have to divide 3000 and 6 to get 500

next you would do  500 times 6 equals = 3000

so now you would plus them and get 6000

now that is your answer

please give me branlyiest

4 0
2 years ago
Each student in a classroom has chosen either a green, red, or blue marble and written their initials on it. In addition, some o
Crazy boy [7]

Answer:

a: 40 percent

b: 30 percent

i think

Step-by-step explanation:

6 0
3 years ago
The graph of y= -2x + 10 is:
earnstyle [38]

9514 1404 393

Answer:

  C. a line that shows the set of all solutions to the equation.

Step-by-step explanation:

Any graph shows the set of all solutions to the equation being graphed.

The graph of a linear function is a straight line.

3 0
3 years ago
Ind the slope m of the tangent to the curve y = 9 + 4x2 − 2x3 at the point where x =
blagie [28]
Find the derivative:-
y' = 8x - 6x^2
This is the slope in terms of x.
When x = a , the slope is
8a - 6a^2

(b)  equation of tangent line at x1,y1 
is  y- y1  =  (8x - 6x^2)( x - x1) , so at (1,11) it is
y - 11 = (8(1) - 6((1)^2) ) (x - 1)
y =  2(x - 1) + 11
y = 2x + 9 (answer)

At  (2,9) 
y - 9 = (16-24)(x - 2)
y - 9 = -8x + 16
y = -8x + 25  answer

3 0
3 years ago
Identify the equation of the translated graph in general form (Picture provided)
MaRussiya [10]

Answer:

The equation after translation is x² + y² + 16x - 8y + 73 = 0 ⇒ answer (a)

Step-by-step explanation:

* Lets study the type of the equation:

∵ Ax² + Bxy + Cy² + Dx + Ey + F = 0 ⇒ general form of conic equation

- If D and E = zero

∴ The center of the graph is the origin point (0 , 0)

- If B = 0

∴ The equation is that of a circle

* Lets study our equation:

 x² + y² = 7 ⇒ x² + y² - 7 =0

∵ B = 0 , D = 0 , E = 0

∴ It is the equation of a circle with center origin

- The equation of the circle with center origin in standard form is:

  x² + y² = r²

∴ x² + y² = 7 is the equation of a circle withe center (0 , 0)

  and its radius = √7

* We have two translation one horizontally and the other vertically

- Horizontal: x-coordinate moves right (+ve value) or left (-ve value)

- Vertical: y-coordinate moves up (+ve value) down (-ve value)

∵ The point of translation is (-8 , 4)

∵ x = -8 (-ve value) , y = 4 (+ve value)

∴ The circle moves 8 units to the left and 4 units up

* now lets change the x- coordinate and the y-coordinate

  of the center (0 , 0)

∴ x-coordinate of the center will be -8

∵ y-coordinate of the center will be 4

* That means the center of the circle will be at point (-8 , 4)

- the standard form of the equation of the circle with center (h , k) is

 (x - h)² + (y - k)² = r²

∵ h = -8 and y = 4

∴ The equation is: (x - -8)² + (y - 4)² = 7

∴ (x + 8)² + (y - 4)² = 7

* lets change the equation to the general form by open the brackets

∴ x² + 16x + 64 + y² - 8y + 16 - 7 = 0

* Lets collect the like terms

∴ x² + y² + 16x - 8y + 73 = 0

∴ The equation after translation is x² + y² + 16x - 8y + 73 = 0

* Look at the graph the blue circle is after translation

8 0
3 years ago
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