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Andru [333]
3 years ago
11

Determine whether the point (1, 1) is a solution to the system of equations. Explain your reasoning in complete sentences. graph

of a line 3 times x plus 2 and the absolute value of x minus 1 plus one. The graphs intersect at the point 0 comma 2.
Mathematics
1 answer:
erastova [34]3 years ago
6 0
The solutions to system of equations are the point of intersection of the graphs of the equations.
The point of intersection of the graphs of the given equation is (0, 2). Therefore, point (1, 1) is not a solution to the system of equation.
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Challenge A movie theater sends out a coupon for 35% off the price of a ticket. Write an equation
Greeley [361]

Answer:

The equation is y= 0,65 x

If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately  pays (y) is  the original price (x) minus a 35% of this price: y= x -0.35 x . By association: y= (1-0.35) x and then y= 0.65 x.

The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).

Step-by-step explanation:

  • The price without discount (or without the coupon) is x.
  • The price with discount (or with coupon) is y.
  • y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.

3 0
3 years ago
Talia has a daily budget of $94 for a car rental. Write and solve an inequality to find the greatest distance Talia can drive ea
MariettaO [177]

Answer:

Step-by-step explanation:

Distance traveled by Talia = x

Cost for travelling 'x' miles = x * 0.20 = 0.2x

Daily budget = $94

Inequality,

30 + 0.2x ≤ 94

Solution:

0.2x ≤ 94 - 30      

0.2x ≤ 64        {Divide both sides by 0.2

   x ≤ 64/0.2

 x ≤ 320

4 0
2 years ago
Read 2 more answers
Given that f(x) = 5x^2-3x+7 and f(g(x))=(5x^4)/9 + (17x^2)/3 + 21. Find all possible values for the sum of the coefficients in t
shtirl [24]

steps

(x) = 5x^2-3x+7

refine

x=5x^2-3x+7

Switch sides

5x^2-3x+7-x=x-x

Subtract x from both sides

5x^2-4x+7=0

Solve with the quadratic formula

8 0
3 years ago
Hurry and answer please
arlik [135]

It's c (48)

because if you divide all of them its 3

5 0
2 years ago
Math help? 10 points!
Kipish [7]
Perimeter is when you add all the sides together...but oh, no! There are two sides missing! So we have to find it. The horizontal like could be x and the vertical, the y. x would be 3 because one side is 7 and the other side is 4, so if we subtract them, we get 3. Same for the vertical, the y would be 3. (3+3=6)

Now we could add all sides to get the last choice, or 26 cm.
4 0
3 years ago
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