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Misha Larkins [42]
3 years ago
13

1

Mathematics
1 answer:
Butoxors [25]3 years ago
5 0

The answer t^{}

o your question is i^{}

n the file

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To two decimal places, find the value of k that will make the function f(x) continuous everywhere. f of x equals the quantity 3x
Fiesta28 [93]

Given function is

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

kx^2-5

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

Now set both equal

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

16k-5=-12+k

16k-k=-12+5

15k=-7

k=-\frac{7}{15}

k=-0.47

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




7 0
3 years ago
The area of a circular place is 45 square inches. Estimate the radius to the nearest integer.
aksik [14]
A=pi(r)^2
45=pi(r)^2   divide by pi (3.14)
14.33=r^2   square root both sides
3.79=r         round
r=4


5 0
3 years ago
Which of these has a sum of 1 19/30 ?
nata0808 [166]
<h3>Answer:</h3>

4/5+5/6  

Step-by-step explanation:

4/5+5/6=1 19/30

not

  1. 49/16+49/14  
  2. 24/17+25/13  
  3. 98/45+98/15

hope this helps u

3 0
4 years ago
Read 2 more answers
Which statement is true?
LuckyWell [14K]

Answer:I think it is C

Step-by-step explanation:I think it i C

5 0
3 years ago
Read 2 more answers
A flying disc has a radius of 10 inches. What is the area of one side of the flying disc to the nearest square inch? Use 3.14 as
oksano4ka [1.4K]

<u>Answer:</u>

The area of one side of a disc is 314 square inches  

<u>Explanation:</u>

Given the radius of the disc is 10 inches

The disc is in circular shape and the area of a circle is determined by

A = \pi r^2, where

A is the area and r is the radius and π = 3.14

Substituting values in the formula,

A = 3.14 \times(10)^2

A = 3.14 \times100 = 341 sq. inches

Therefore, the area of one side of a disc is 314 square inches

8 0
3 years ago
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