For what value of k will the function f be continuous on (−∞, ∞)? f(x) =

x + 3 if x ≤ 1
kx2 if x > 1

4

(Hopefully x2 means x^2. That's what I read it as.)

Step-by-step explanation:

We need the relation to match the same number on both sides at x=1.

So we need

x+3=kx^2 for x=1

1+3=k(1)^2

4=k

The function is continuous when k=4.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.