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3 years ago

Plz help with this question ASAP which choice is it and steps to get the answer or explain why

Mathematics

1 answer:

Savatey [412]3 years ago

3 0

Answer:

D 20 *1.10 * 1.05

Step-by-step explanation:

We have 19.8 tons of wheat. That is close to 20 tons

We increase by 9.8 percent. 9.8% is close to 10%

When we increase, that is 100% of what we had plus the increase, so we multiply by 100 +10% or 110%. In decimal form that is 1.1

20 *1.10

Then the next year we increase by 5.1%. That is close to 5%

We have 100% plus the 5% or 105%, which in decimal form is 1.05

We multiply what we had (20 *1.10) by 1.05

20 *1.10 * 1.05

This is the total amount we have

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$f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.$

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

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so RHD= $k(-4)^2-5$

Now set both equal

$k(-4)^2-5=3(-4)+k$

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<u>Hence final answer is -0.47.</u>

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