Answer:
- a) 2x -y = -5; A=2, B=-1, C=-5
- b) y = 2x +5
Step-by-step explanation:
a) Standard Form is ...
Ax + By = C
where A > 0 and A, B, C are mutually prime.
To get that form, we can add 2x-5 to both sides of the equation:
(2x -5) -2x = (2x -5) -y +5
-5 = 2x -y
Then we can swap sides of the equal sign:
2x -y = -5 . . . . . . standard form
Matching this to the generic standard form equation, we find ...
A = 2
B = -1
C = -5
__
b) We can solve for y by adding 2x+y to both sides of the equation:
(2x +y) -2x = (2x +y) -y +5
y = 2x +5 . . . . . . slope-intercept form
Sum= positive 30 because you add the opposite
The difference between the numbers is also 30
Answer:
-6
Step-by-step explanation:
15/4 ÷ -5/8
Copy dot flip
15/4 * -8/5
Rewrite
15/5 * -8/4
3 * -2
-6
Answer:
19
Step-by-step explanation:
7(<u>2 + 3</u>) − 4 · 2² ← like that right so
<u>parenthesis first add the numbers up↓</u>
7(5) - <u>4</u> · 2²
write number in exponential form↓
<u>7(5)</u> - 2²· 2²
multiply↓
35 - <u>2² · 2²</u>
calculate the product↓
35 - <u>2⁴</u>
evaluate the power↓
35-16
then subtract↓
19
Answer:
<u>The track consumes ≅ 61 liters of fuel every 100 kilometres</u>
Step-by-step explanation:
As we can see in the graph, the total distance that the truck can travel with 500 liters of fuel is ≅ 825 kilometres.
For answering the question properly, we use the Rule of Three Simple, this way:
Kilometres Liters of fuel
825 500
100 x
Solving for x, we have:
825 * x = 500 * 100
825x = 50,000
x = 50,000/825
x = 60.6 liters of fuel (61 rounding to the next whole)
x ≅ 61 liters of fuel
<u>The track consumes ≅ 61 liters of fuel every 100 kilometres</u>
