Given the slope, m = -2/3, and the x-intercept, (3,0):
Use these values and plug into the slope-intercept form to solve for the y-intercept, b:
y = mx + b
0 = -2/3(3) + b
0 = -2 + b
Add 2 to both sides to isolate b:
0 + 2 = -2 + 2 + b
2 = b
Now that we have our slope, m = -2/3, and the y-intercept, 2
The linear equation in slope-intercept form is:
y = -2/3x + 2
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<span>Simplifying
1.06g + -3 = 0.71
Reorder the terms:
-3 + 1.06g = 0.71
Solving
-3 + 1.06g = 0.71
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 1.06g = 0.71 + 3
Combine like terms: -3 + 3 = 0
0 + 1.06g = 0.71 + 3
1.06g = 0.71 + 3
Combine like terms: 0.71 + 3 = 3.71
1.06g = 3.71
Divide each side by '1.06'.
g = 3.5
Simplifying
g = 3.5</span>
Answer:
Step-by-step explanation:
x2+1/4x4
2x+(1/4*4x)
2x+(1/16x)
= 32x^2+1/16x
Answer:
18,400m^2
Step-by-step explanation:
<span>Let us first make the units same (like terms). Convert 2 feet into inches since the other term is already in inches. It is 24 inches.
Now the ratio is 18 inches to 24 inches.
To convert a ratio into a fraction, simply use the first number as the numerator and the second number as the denominator. So the fraction is 18/24. There are common factors in 18 and 24 which can divide both these numbers. 2 is a common factor and when both the numerator and denominator are divided by 2, the fraction becomes 9/12. The next common factor is 3. Divide both the numbers by 3. Now the fraction becomes 3/4. Since there are no more common factors, the fraction is in its lowest form.</span>
