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3 years ago

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A parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the

equation of the parabola.

1 answer:

dybincka [34]3 years ago

3 0

Answer:

f(x) = -3/2(x - 4)² + 6

Step-by-step explanation:

f(x) = a(x - h)² + k, where (h, k) is the vertex

vertex is (4, 6), point (2, 0)

0 = a(2 - 4)² + 6

0 = 4a + 6

-6 = 4a

-3/2 = a

f(x) = -3/2(x - 4)² + 6

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Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?

bija089 [108]

The value of f(-6) is -12.2

Explanation:

Given that the function $f(x)=\frac{100}{-10+e^{-0.1\left(x\right)}}$

We need to determine the value of f(-6)

The value of f(-6) can be determined by substituting the value for $x=-6$ in the function and simplify the function.

Hence, let us substitute $x=-6$ in the function, we get,

$f(-6)=\frac{100}{-10+e^{-0.1\left(-6\right)}}$

Let us apply the rule $-\left(-a\right)=a$ , we get,

$f(-6)=\frac{100}{-10+e^{0.1\left(6\right)}}$

Multiplying the numbers, we get,

$f(-6)=\frac{100}{-10+e^{0.6}}$

The value of $e^{0.6}=1.822$

Substituting the value of $e^{0.6}=1.822$ , we get,

$f(-6)=\frac{100}{-10+1.822}$

Subtracting the denominator, we have,

$f(-6)=\frac{100}{-8.178}$

Dividing, we have,

$f(-6)=-12.228$

Rounding off to the nearest tenth, we have,

$f(-6)=-12.2$

Thus, the value of f(-6) is -12.2

4 0

3 years ago

Please help me out!!!!!!!

makkiz [27]

Answer:

C) y = 2|x - 3| - 1

Step-by-step explanation:

Point slope form: y = a(x - h) + k

The slope (a) is 2

The vertex (h, k) is (3, -1)

plug these values into the equation:

y = 2|x - 3| - 1

5 0

4 years ago

The grocery store is having a candy sale. Originally, a candy bar was $1.50. The

dangina [55]

The markdown rate is 66.7%.

<h3>Markdown rate</h3>

Using this formula

Markdown rate= Change in price/original price×100

Let plug in the formula

Markdown rate=$1.50-$0.50/$1.50

Markdown rate=$1.00/$1.50×100

Markdown rate=66.66%

Markdown rate=66.7% (Approximately)

Inconclusion the markdown rate is 66.7%.

Learn more about markdown rate here:brainly.com/question/1153322

8 0

3 years ago

The cost, in millions of dollars, for a company to manufacture x thousand speed boats is given by the function C(x) = 3x2 - 30x

nalin [4]

Answer:

5000

Step-by-step explanation:

In vertex form, the cost function is ...

C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)

C(x) = 3(x -5)² +100

The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.

7 0

4 years ago

Help help pls pls pls pls

ZanzabumX [31]

Answer:

this

Step-by-step explanation:

the number of boys is 52, if there are 26 girls and boys, and theres 26 more boys than girls then the answer is 52

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3 years ago