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avanturin [10]
2 years ago
13

Need help

Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
4 0

Answer:

it is A bacause the fractions for that one are correct

Step-by-step explanation:

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A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0). What is the equation of the directrix? x=−4 y=−
rewona [7]

Answer:

Step-by-step explanation:

The vertex and focus are horizon aligned, so the parabola is horizontal and the directrix is a vertical line.

The vertex is halfway between focus and directrix. Directrix: x = -4

7 0
2 years ago
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To use Long Division of Polynomials to verify that x = a/b is a zero on a polynomial function P(x), the divisor would be
Strike441 [17]

Answer:

  D)  bx - a

Step-by-step explanation:

If a/b is a zero, then (x -a/b) is a factor of the polynomial. That is, the value x=a/b will make a factor of the polynomial be zero.

The above factor can be written without fractions by multiplying it by b:

  (bx -a) . . . . matches choice D

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You can also choose the answer on the basis of which expression becomes zero when x=a/b.

4 0
3 years ago
What is f(g(x)) for x > 5?
mel-nik [20]

Answer:

\large\boxed{B.\ 4x^2-41x+105}

Step-by-step explanation:

f(x)=4x-\sqrt{x}\\\\g(x)=(x-5)^2\\\\f(g(x))\to\text{put}\ x=(x-5)^2\ \text{to}\ f(x):\\\\f(g(x))=f\bigg((x-5)^2\bigg)=4(x-5)^2-\sqrt{(x-5)^2}\\\\\text{use}\\(a-b)^2=a^2-2ab+b^2\\\sqrt{x^2}=|x|\\\\f(g(x)=4(x^2-2(x)(5)+5^2)-|x-5|\\\\x>5,\ \text{therefore}\ x-5>0\to|x-5|=x-5\\\\f(g(x))=4(x^2-10x+25)-(x-5)\\\\\text{use the distributive property:}\ a(b+c)=ab+ac\\\\f(g(x))=(4)(x^2)+(4)(-10x)+(4)(25)-x-(-5)\\\\f(g(x))=4x^2-40x+100-x+5\\\\\text{combine like terms}\\\\f(g(x))=4x^2+(-40x-x)+(100+5)\\\\f(g(x))=4x^2-41x+105

6 0
3 years ago
Read 2 more answers
We want to find the zeros of this polynomial:<br> p(x)= 3x^3 – 3x^2– 18x
bulgar [2K]

Answer:

x=0   x=3   x=-2

Step-by-step explanation:

p(x)= 3x^3 – 3x^2– 18x

Factor out the greatest common factor, 3x

p(x)= 3x (x^2 – x– 6)

Factor inside the parentheses

What 2 numbers multiplies to -6 and adds to -1

-3*2 = -6

-3+2 = -1

p(x)= 3x (x-3)(x+2)

Setting the function equal to zero to find the zeros

0 = 3x (x-3)(x+2)

Using the zero product property

3x = 0  x-3 =0   x+2 =0

x=0   x=3   x=-2

3 0
3 years ago
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What is the equation in standard form of the line that passes through the point (4, -8) and
Delvig [45]

Answer:

A

Step-by-step explanation:

Plug in values

We know that x=4 and y= -8

just plug in numbers until one is correct

4-4(-8)=36

4+32=36

36=36

the answer is A

6 0
2 years ago
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