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Irina-Kira [14]
3 years ago
12

You are given the function C(x)=−4x2+4x+3 Find C(−1). Provide your answer below: C(−1)=

Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
7 0

Answer:

C(-1)= -5

Step-by-step explanation:

This question asks us to find C(-1). We know what C(x) is, it is:

C(x)=-4x^{2} +4x+3

Therefore, we must substitute -1 in for every x to find C(-1).

C(-1)=-4(-1)^{2} +4(-1)+3

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, evaluate the exponent.

-1^2=-1*-1=1

C(-1)=-4(1) +4(-1)+3

Next, multiply -4 and 1.

C(-1)=-4+4(-1)+3

Multiply 4 and -1 again.

C(-1)=-4+ -4 + 3

Add the numbers together.

C(-1)=-8+3

C(-1)=-5

Sedaia [141]3 years ago
3 0

Hey there! :)

Answer:

C(-1) = -5.

Step-by-step explanation:

C(x) = -4x² + 4x + 3

Plug in -1 for x to solve for C(-1):

C(-1) = -4(-1)² + 4(-1) + 3

Simplify:

C(-1) = -4 + (-4) + 3

C(-1) = -5

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Answer:

  √629 ≈ 25.08

Step-by-step explanation:

The distance formula is useful for this.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-12 -13)² +(6 -8)²) = √(625 +4) = √629 ≈ 25.08

The distance between the points is about 25.08 units.

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4 – (2y + 5) = 3(1 – 4y) show steps please
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Answer/Step-by-step explanation:

Let's solve your equation step-by-step.

4−(2y+5)=3(1−4y)

Step 1: Simplify both sides of the equation.

4−(2y+5)=3(1−4y)

4+−1(2y+5)=3(1−4y)(Distribute the Negative Sign)

4+−1(2y)+(−1)(5)=3(1−4y)

4+−2y+−5=3(1−4y)

4+−2y+−5=(3)(1)+(3)(−4y)(Distribute)

4+−2y+−5=3+−12y

(−2y)+(4+−5)=−12y+3(Combine Like Terms)

−2y+−1=−12y+3

−2y−1=−12y+3

Step 2: Add 12y to both sides.

−2y−1+12y=−12y+3+12y

10y−1=3

Step 3: Add 1 to both sides.

10y−1+1=3+1

10y=4

Step 4: Divide both sides by 10.

10y

10

=

4

10

y=

2

5

Answer:

y= 2/5

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