I remember CUP -- concave up positive. Here we have a leading coefficient that's negative, so the cup is upside down, the parabola opens down, an arch not a bowl.

4 0

3 years ago

For f(x) = 2x + 3 and g(x) = x2 – 8, find (f + g)(x).

Nataly_w [17]

Answer:

x² + 2x - 5

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 2x + 3 + x² - 8 ← collect like terms

= x² + 2x - 5

8 0

3 years ago

Suppose that x and y vary inversely and that y = 5 when x = 1. What is y when x = 15?

LiRa [457]

Answer:

Y=1/3

Step-by-step explanation:

X=k/y

So let's make k the subject of formula

k=xy

x=1,y=5

So let's substitute

k=1×5

k=5

So we are to determine the value for y when x is 15

So let's solve

Y=k/x

Y=5/15

Y=1/3

Y=0.333333~0.3

7 0

3 years ago

St Question 1 Calculate the derivative of y = f(x) = 3 x(4x + 7) Your answer:

kondor19780726 [428]

Answer:

$\frac{dy}{dx} = 24 x + 21$

Step-by-step explanation:

Explanation:-

Given that the function

y = f(x) = 3 x ( 4 x + 7)

y = 3 x ( 4 x + 7)

y = 12 x² + 21 x ..(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = 12 (2x) +21 (1)$

$\frac{dy}{dx} = 24 x + 21$

6 0

2 years ago