True, the biggest factor will be 4 :)
Answer:
D is false
Step-by-step explanation:
f(x) = -2x2 + 4x + 6 should be written with a " ^ " to indicate exponentiation:
f(x) = -2x^2 + 4x + 6.
Because of the - sign, we know that the graph of this function opens down, so there is a maximum at the vertex. We can determine the x-value at the vertex by using the formula x = -b/(2a), which here is x = -4/(2*-2), or 1.
Evaluating f(x) = -2x^2 + 4x + 6 at x = 1, we get -2 + 4 + 6, or 8. So statement A is true: there's a max at (1, 8). This is also the vertex of the graph.
Let's now look at C and D. We evaluate f(x) at x = 3 and x - 2. If the output (y) value is 0, we know we have an x - intercept:
f(3) = -2(9) + 4(3) + 6 = 0. Yes, C is true, (3, 0) is an x-intercept.
f(-2) = -2(4) - 8 + 6 is not 0. Therefore D is false; (-2, 0) is not an x-intercept.
Look at B: Let x = 0 and find y: it's 6. Thus, (0, 6) is the y-intercept. B is true.
The rate of change is -$45, and it represents the amount of money withdrawn each month.
We can find the rate of change by finding the change in y/change in x:
145-190/1-0 = -45/1 = -45
This would be the amount of money he withdraws from his account each month.
3.14 x 10⁻³ has the value 0.00314
The exponent tells us the number of times the decimal has to move. The sign of the exponent tells us the direction of the movement of the decimal.
The negative sign of the exponent means that the decimal has to move to the right.
From 0.00314, decimal move to the right 0003.14
If the decimal is positive, it means that the decimal point moved to the left of the number.
3.14 x 10³ in expanded form is 3140
From 3140. decimal move to the left 3.140
