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Temka [501]
3 years ago
12

Graph the linear equation. Find three points that solve the equation, then plot on the graph. -x - 2y = -10

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0
-x - 2y = -10  |add x to both sides

-2y = x - 10    |divide both sides by (-2)

y = -0.5x + 5

for x = 0, y = -0.5(0) + 5 = 0 + 5 = 5 ⇒ (0; 5)
for x = -2, y = -0.5(-2) + 5 = 1 + 5 = 6 ⇒ (-2; 6)
for x = 2, y= -0.5(2) + 5 = -1 + 5 = 4 ⇒ (2; 4)

The graph in the picture

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you lease a car valued at 23,495 for 3 years at $429.95/month with a $500 down payment. If interest is 30% of the payment, how m
Monica [59]
(36 payments)*($429.95)*30% = $4,643.46 . . . . interest paid over 3 years
7 0
3 years ago
Read 2 more answers
Help and explain please and ty <3333
Anni [7]

Answer:

A. 693

Step-by-step explanation:

The question is asking you to input 7 into both functions and then multiply them together.

First insert 7 into f(x) = 7 + 2x,   7 times 2 is 14, plus 7 = 21

do the same with g(x) = 5x - 2,   5 times 7 is 35, minus 2 = 33

fg(7) is saying to multiply fg together as a variable next to another variable does. leaving the answer as 693.  

6 0
3 years ago
If your weight is 132 pounds, how much work is done if you climb a flight of stairs 12 meters high?
Temka [501]

Answer:

7040.76 Joule

Step-by-step explanation:

In order to make yourself be able to climb upstairs, you need to work against the force of gravity. The force with which you pull yourself up is equal to the force of gravity exerted on you by the gravitational force.

So here, the net force involved is Mass(in Kg) multiplied by Acceleration due to gravity.

132 pounds = 59.8742 Kg

Net force = 59.87 × 9.8 = 586.73

As we know, the workdone is calculated by Multiplying the Net force with the Net displacement. Here, in this case the net displacement is 12 meters.

So,

Workdone = 586.73 × 12 = 7040.76 Joule

6 0
3 years ago
8 Connor the fruiterer sells two fruit packs.
Vesna [10]

The cost of 1 apple and 5 mangoes is $6.15.

Let's look at how to form and solve simultaneous equations in a word problem.

<h3>State assumption and define variables:</h3>

Assuming that the cost of each apple and mango is equal in both packs.

Let the cost of an apple be a and that of a mango be m.

<h3>Write equations based on given information:</h3>

10a +5m= 12 -----(1)

15a +4m= 14.15 -----(2)

<h3>Solve by elimination:</h3>

<u>Steps for solving equations with two variables</u>

  1. Ensure that the magnitude of the coefficients of one of the term is equal in both equations
  2. Eliminate the term with the chosen term through subtraction or addition
  3. Solve for the other term
  4. Substitute the value of the term found in (3) to find the value of the second term

<u>Working</u>

Here, I am making the value of the coefficient of m constant.

(1) ×4:

40a +20m= 48 ----(3)

(2) ×5:

75a +20m= 70.75 -----(4)

Moving on to step 2, we can eliminate the m term by subtracting equation (3) from (4). When the sign of the terms are equal, we use subtraction to eliminate the term. On the other hand, if one of the sign is positive and the other is negative, adding the two equations together will eliminate the term (provided that you have already ensured that the magnitude of the coefficient is equal).

(4) -(3):

75a +20m -(40a +20m)= 70.75 -48

Expand:

75a +20m -40a -20m= 22.75

Simplify:

35a= 22.75

Let's continue with step 3, where we solve for a.

a= 22.75 ÷35

a= 0.65

The cost of an apple is $0.65.

Now, moving on to step 4!

Substitute a= 0.65 into (1):

10(0.65) +5m= 12

6.5 +5m= 12

5m= 12 -6.5

5m= 5.50

5 mangoes costs $5.50.

Cost of 1 apple and 5 mangoes

= $0.65 +$5.50

= $6.15

Thus, the cost of 1 apple and 5 mangoes is $6.15.

4 0
2 years ago
Factor this expression completely ab + 4 + a + 4b
MrRa [10]
   
ab + a + 4b+4 = a(b+1) + 4(b+1) = (b +1)(a + 4)



5 0
3 years ago
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