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3 years ago

What are the vertex and x-intercepts of the graph of the function given below? y = x^2 - 2x - 48

Mathematics

2 answers:

____ [38]3 years ago

8 0

Answer:

the vertex is (1, -49)

the x intercepts are (-6, 0) and (8, 0)

Step-by-step explanation:

hope this helps!

Over [174]3 years ago

3 0

Answer:

vertex: (1, -49)

x-intercepts: (-6, 0) and (8, 0)

Step-by-step explanation:

I graphed it and looked for the needed information

here's the graph if you want it:

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3<br>Find the value of a <br>in the equation,(3+4√3)(2-a√3)=-18+2√3

ankoles [38]

Given:

The equation is:

$\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}$

To find:

The value of a.

Solution:

We have,

$\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}$

On simplification, we get

$(3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}$

$6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}$

$6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}$

$(6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}$

On comparing both sides, we get

$6-12a=-18$

$-12a=-18-6$

$a=\dfrac{-24}{-12}$

$a=2$

And,

$8-3a=2$

$-3a=2-8$

$a=\dfrac{-6}{-3}$

$a=2$

Therefore, the value of a is 2.

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3 years ago

How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph

Marina CMI [18]

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

$f(x)=x^3$

The translation of a function is defined as

$g(x)=f(x+a)+b$

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.

If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.

It is given that the graph of f(x) shifts 4 units left and 2 units down. So, a=4 and b=-2.

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

$g(x)=(x+4)^3-2$ $[\because f(x)=x^3]$

$y=(x+4)^3-2$

Therefore option B is correct.

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3 years ago

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Hi! Please help me find the slope of the line.

lana66690 [7]

Answer:

3/2

Step-by-step explanation:

We can use the slope formula to find the slope of the line

m = ( y2-y1)/(x2-x1)

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m = ( -1 - -4)/( 2 - 0)

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Anika [276]

3.31 times 10 to the 26th power

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GarryVolchara [31]

Answer:

$P(X>300)$

And we can find this probability with the complement rule:

$P(X>300)= 1-P(X$

Step-by-step explanation:

For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:

$X \sim Unif (a=284.7, b=310.6)$

And for this case the probability density function is given by:

$f(x) =\frac{1}{310.6 -284.7} =0.0386 , 284.7 \leq X \leq 310.6$

And the cumulative distribution function is given by:

$F(x) =\frac{x-284.7}{310.6-284.7} , 284.7 \leq X \leq 310.6$

And we want to find this probability:

$P(X>300)$

And we can find this probability with the complement rule:

$P(X>300)= 1-P(X$

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3 years ago