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Ipatiy [6.2K]
3 years ago
11

Which point is an x-interceptof the quadratic function f(x)=x-4)(x+2)

Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

Answer:

The x intercepts are -2 ,4

Step-by-step explanation:

f(x)=(x-4)(x+2)

We set the function equal to 0 to determine the x intercepts

0 = (x-4)(x+2)

Using the zero product property

0 = x-4     0 = x+2

x=4        x=-2

The x intercepts are -2 ,4

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What value of x satisfies this equation? log(5x+20)=2
Ipatiy [6.2K]

Answer:

16

Step-by-step explanation:

Given expression:

       log(5x + 20) = 2

From the given expression, we are to find x;

   Using the rule of logarithm, we can solve this problem;

             logₐb = C

                    b  = Cᵃ

So;

            log(5x + 20) = 2

  this is to base 10;

                    5x + 20 = 10²

                    5x  = 100 - 20

                    5x  = 80

                      x  = 16

5 0
2 years ago
Read 2 more answers
find the formula for a rational function that satisfies all of the following. its x-intercept is (-3,0). it has a vertical asymp
Norma-Jean [14]

Let that be

\\ \rm\Rightarrow y=\dfrac{a(f(x))}{g(x)}

Two vertical asymptotes at -1 and 0

\\ \rm\Rightarrow y=\dfrac{a(f(x)}{x(x+1)}

If we simply

\\ \rm\Rightarrow y=\dfrac{a(f(x)}{x^2+1}

  • Denominator has degree 2
  • Numerator should have degree as 2 and coefficient as 3 inorder to get horizontal asymptote y=3 means the quadratic equation should contain 3x²
  • But there should be a x intercept at -3 so one zeros should be -3

Find a equation

  • 3x²+9x

Find zeros

  • 3x²+9x=0
  • 3x(x+3)=0
  • x=0,-3

Horizontal asymptote

  • 3x²/x²
  • 3

So our equation is

\\ \rm\Rightarrow y=\dfrac{3x^2+9x}{x(x+1)}

Graph attached

4 0
1 year ago
Nikolas calculated the volume of the prism. His work is shown below. A triangular prism. The triangular base has a base of 5.8 f
Brut [27]

Answer:

B he used the incorrect formula for the volume of the prism

3 0
3 years ago
Read 2 more answers
Solve the equation <br><br> 3(x+2) = 2(2 - x)
RideAnS [48]

Answer:

x=-2/5

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
-189=4x-3(-4x+15) help me i need help badly
lyudmila [28]

Answer:

Step-by-step explanation:

−189=4x−3(−4x+15)

−189=16x−45

16x−45=−189

16x−45+45=−189+45

16x=−144

16x /16

= −144 /16

x=−9

Good luck honey !!

7 0
3 years ago
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