Answer:
y = (1/3)x
Step-by-step explanation:
If the y-intercept is (0, 0), then y = mx + b becomes y = mx.
Seeing that y increases by 1, going from (-3, 1) to (0, 0), and that x increases by 3, we determine that the slope, m, is 1/3.
The equation of this line is therefore y = (1/3)x.
Part A:
1 solution. It is a linear equation => one solution.
Part B:
3(2x - 7) = 3
(divide through by 3) 2x - 7 = 1
(add 7 to both sides) 2x = 8
(divide through by 2) x = 4
For the polynomial 2x^3 - 3x^2 + 2x - 13, the coefficients are 2, -3, 2, -13. Write them in a single row. Place the test root 3 to the left and in its own box.
If you perform the synthetic division, you'll get what you see in the attached image.
The final answer is
Note: the quotient is 2x^2+3x+11; the remainder is 20. The remainder is found by the last item in the bottom row. The coefficients of the quotient are the remaining other values in the bottom row.
Answer: 45%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write 9/20 as a percent, we will need to find a fraction equivalent to 9/20 that has a 100 in the denominator. We can do this by setting up a proportion.
=
Now, we can use cross products to find the missing value.
900 = 20n
÷20 ÷20 ← <em>divide by 20 on both sides</em>
<em> 45 = n</em>
Therefore, 9/20 is equal to 45 over 100 or 45%.
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Answer: 0.45
Step-by-step explanation: In order to write 9/20 as a decimal, we need to find a fraction equivalent to 9/20 with a 100 in the denominator. Notice that if we multiply both the numerator of 9/20 by 5, we get the equivalent fraction 45/100 which we can now write as a decimal. Remember that the hundredths place is two places to the right of the decimal point. So, we can write 45/100 as 0.45.
Therefore, 9/20 is equivalent to 0.45.