Answer:
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
Step-by-step explanation:
We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.
We're given the slope, (1/2) which we can use for m:
y = (1/2)x + b
We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:
x = 5, and y= -1
y = (1/2)x + b
-1 = (1/2)*5 + b
-1 = (2.5) + b
- 3.5 = b
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
See the attached image.
Answer:
<u>Answer</u><u>:</u><u> </u><u>4</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>0</u><u> </u>
Step-by-step explanation:
• General quadratic equation:

• sum of roots → 4 + 5 = 9
• product of roots → 4 × 5 = 20
• substitute:

Answer:
x=-7
Step-by-step explanation:
first, subtract 4x from both sides. then you'll get:
-9=3x+12
next subtract 12 from both sides. Then you'll get:
-21=3x
then you divide each side by 3. You get:
x=-7
If you make it a fraction 350/25 or vice versa and 462/x. You then must cross multiply, 350*x= 350x and 25*462=11,550. Then you divide 350 from 11,550 and you will get x=33 which will make 33 be the amount of gasoline he will use in traveling 462 miles.