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yawa3891 [41]
3 years ago
13

1) SHOW WORK: Evaluate f(-2):

Mathematics
2 answers:
timofeeve [1]3 years ago
5 0

Answer:

<h2>1) f(-2) = -10</h2><h2>2) f(8) = 60</h2>

Step-by-step explanation:

1)\\f(x)=3x-4\\\\f(-2)\to\text{put x = -2 to the equation of the function}\ f(x):\\\\f(-2)=3(-2)-4=-6-4=-10\\2)\\f(x)=x^2-4\\\\f(8)\to\text{put x = 8 to the equation of the function}\ f(x):\\\\f(8)=8^2-4=64-4=60

babymother [125]3 years ago
4 0

Answer:

- 10 and 60

Step-by-step explanation:

1

To evaluate f(- 2) substitute x = - 2 into f(x)

f(- 2) = (3 × - 2) - 4 = - 6 - 4 = - 10

2

To evaluate f(8) substitute x = 8 into f(x)

f(8) = 8² - 4 = 64 - 4 = 60

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Answer:

169

Step-by-step explanation:

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2 years ago
Simplify the expressions. Show your work.
Hunter-Best [27]
7) Use distributive property
3x(4x⁴ - 5x)=3x*4x⁴- 3x*5x = 12x⁵ - 15x²
8) When you open parenthesis with minus sigh in front of it, you need change sings of the terms on opposite. Then find like terms.
(5x⁴-3x³+6x)-(3x³+11x²-8x)= 5x⁴-3x³+6x -3x³-11x²+8x =5x⁴-6x³ - 11x²+14x
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10) (x+6)²=(x+6)(x+6)=x²+6x+6x+36=x²+12x+36
For (x+6)², you can also use the formula of the perfect square
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5 0
3 years ago
5x+4=x+44 solve for x​
Aleks [24]

Answer:

x=10

Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
Determine the equation of the circle with centre (-3;5) and passing through a point (2;-9)
UNO [17]

Therefore, the equation of circle is: (x+3)^{2}+(y+5)^{2} = 100

<h3><u>What is a circle?</u></h3>
  • All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
  • The radius of a circle is the separation between any point on the circle and its center.
  • The radius must typically be a positive integer. Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.
  • A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior.

Here we know that(h,k) = (-3,5)but we are not given the radius.

However, we can find the radius by using the distance formula.

\sqrt{x^{2} +y^{2} }, where x=x_{1} -x_{2} and y=y_{1} -y_{2}

Putting the values, we get:

\sqrt{8^{2} +6^{2} }

The radius comes out to be:

r=10

An equation of the circle with center (h,k) and radius r is

(x-h)^{2} +(y-k)^{2} = r^{2}

Now, substituting the values, we get:

(x--3)^{2} +(y-5)^{2} = 10^{2}

Therefore, the equation of circle is:

(x+3)^{2}+(y+5)^{2} = 100

Know more about circles with the help of the given link:

brainly.com/question/10618691

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7 0
2 years ago
Can someone help with my math
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Answer:

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Step-by-step explanation:

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3 years ago
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