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bagirrra123 [75]
3 years ago
7

O two decimal places, find the value of k that will make the function f(x) continuous everywhere. F of x= 3(x) + k for x less th

an or equal to 3 and is equal to k(x) squared - 6 for x greater than 3
Mathematics
1 answer:
enot [183]3 years ago
5 0

Answer:

  k ≈ 1.88

Step-by-step explanation:

In order for the function to be continuous, the pieces of the function must have the same value at x=3. That is ...

  f(3) = 3(3) +k = k(3^2) -6

  15 = 8k . . . . . add 6-k, simplify

  k = 15/8 = 1.875 ≈ 1.88

To two decimal places, the value of k that makes f(x) continuous at x=3 is 1.88.

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Which expression could be substituted for y in the second equation to find the value of x?
EastWind [94]

value of x is x=-\frac{29}{4} and value of y is y=-\frac{9}{2}

Step-by-step explanation:

We need to find Which expression could be substituted for y in the second equation to find the value of x

The given equations are:

2x-y=-10\,\,\,(1)2x - 3y= -1\,\,\,\,(2)

For putting value of y in second equation, we will find from equation 1

From equation 1:

2x-y=-10\\-y=-10-2x\\y=10+2x

Putting value of y i.e y=10+2x in equation (2) to find value of x

2x-3y=-1\\2x-3(10+2x)=-1\\2x-30-6x=-1\\-4x=-1+30\\-4x=29\\x=\frac{29}{-4}\\x=-\frac{29}{4}

So, now finding value of y by putting value of x= -29/4 in eq(1)

2x-y=-10\\2(-\frac{29}{4})-y=-10\\-\frac{29}{2}-y=-10\\-y=-10+\frac{29}{2}\\ -y=\frac{-20+29}{2}\\ -y=\frac{9}{2}\\ y=-\frac{9}{2}

So, value of x is x=-\frac{29}{4} and value of y is y=-\frac{9}{2}

Keywords: System of equations

Learn more about System of equations at:

  • brainly.com/question/6075514
  • brainly.com/question/7490805
  • brainly.com/question/13168205

#learnwithBrainly

6 0
3 years ago
Which is a simplified form of the expression -4(n + 1) – (n + 2)?
Nadya [2.5K]

Answer:

-(5 n + 6)

Step-by-step explanation:

Simplify the following:

-4 (n + 1) - (n + 2)

-4 (n + 1) = -4 n - 4:

-4 n - 4 - (n + 2)

-(n + 2) = -n - 2:

-4 - 4 n + -n - 2

Grouping like terms, -4 - 4 n - 2 - n = (-4 n - n) + (-4 - 2):

(-4 n - n) + (-4 - 2)

-4 n - n = -5 n:

-5 n + (-4 - 2)

-4 - 2 = -(4 + 2):

-5 n + -(4 + 2)

4 + 2 = 6:

-5 n - 6

Factor -1 out of -5 n - 6:

Answer: -(5 n + 6)

4 0
3 years ago
Read 2 more answers
Witch is greater 1 and 1/2 or 1 and 1/6
Trava [24]
1 1/2

because 1 1/2 equals 1 3/6. so 1 3/6 is bigger than 1 1/6.
5 0
3 years ago
Read 2 more answers
How do you solve this?
NNADVOKAT [17]

Answer:

C.)

Step-by-step explanation:

The graph is positive this time, so right away you can eliminate A and B.

If y=2x, the graph would be much steeper so the answer is C.) you can also check by graphing it in desmos.

4 0
2 years ago
Read 2 more answers
Can anyone help me out with this please
musickatia [10]
First, let's factor the equation to make it easier to solve for the intercepts:

f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)

To find the x-intercepts of a function, set the y value (f(x)) to 0:

0 = (x + 8)(x + 4)
x = -8, -4

Similarly, to find the y-intercept, set the x values to 0:

f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32

*Note that you can see 32 as the y-intercept in the parabola's original equation
4 0
3 years ago
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