To find the slope and the y-intercept of this equation, we need to first convert it to slope-intercept form. (y = mx + b)
To convert it, we need to first isolate the y term by subtracting 6x from both sides of the equation.
6x - 6x - 3y = -9 - 6x
-3y = -9 - 6x
Now that the y term is on one side of the equation, we can continue.
Divide <em>everything </em>on the left side of the equation by the coefficient on the right side of the equation. In this case, the number is 3.
y = -3 - 2x
Flip some of those numbers around to get this:
y = 2x - -3
Get rid of the double negative. (Change 2x - -3 into 2x + 3)
y = 2x + 3
Now that we've converted the equation, we can identify the slope (the number beside x) and y-intercept (the number that stands alone)
Slope: 2
Y-intercept: 3
A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.
Let's try each of the choices:
A. The term 2/4 is a rational number. Now, when 0.3 or 3/10 is added to it, the sum would be 4/5 or 0.8. This is a rational number.
B. √7 is an irrational number because its exact value is 2.645751311.... Even if you add 0.3 to it, the answer would still be irrational
C. Obviously, this is an irrational number
D. The exact value of π is <span>3.14159...... If 0.3 is added to it, the answer would be 3.441592654. This is irrational.
Therefore, the answer is A.</span>
Answer:
f(7) = -113
Step-by-step explanation:
Hello!
Substitute 7 for x in the equation.
<h3>Evaluate</h3>
- f(x) = -4x² + 10x + 13
- f(7) = -4(7)² + 10(7) + 13
- f(7) = -4(49) + 70 + 13
- f(7) = -196 + 70 + 13
- f(7) = -113
f(7) is -113.
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