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never [62]
3 years ago
5

Math, please help! Will give brainliest.

Mathematics
1 answer:
natka813 [3]3 years ago
8 0
This one is probably f(x)=2(4)^{x}
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3.(08.07 HC)
SashulF [63]

Answer:

For a general equation:

y = f(x) =  a*x^2 + b*x + c

The x-intercepts are given by:

x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}

And the vertex is the point (h, k) such that:

h = -b/2*a

k = f(h)

Part A)

We have the function f(x) = -16*x^2 + 22*x + 3

The x-intercepts are then:

x = \frac{-(22) \pm \sqrt{22^2 - 4*(-16)*3} }{2*(-16)} = \frac{-22 \pm 26 }{-32}

The two intercepts are:

x = (-22 - 26)/(-32) = 1.5

x = (-22 + 26)/(-32) = -0.125

Part B:

The vertex is (h, k), such that:

h = -22/(2*(-16)) = -22/-32 = 0.6875

k = f(0.6875) = -16*(0.6875)^2 + 22*0.6875 + 3 = 10.6525

Then the vertex is: ( 0.6875, 10.6525)

If the leading coefficient is positive, then the vertex is a minimum

If the leading coefficient is negative, then the vertex is a maximum.

In this case the leading coefficient is -16, then we can conclude that the vertex is a maximum.

Part C:

To graph the function, we can graph the points that we already know (the vertex and the two x-intercepts) and connect them with a curve.

You could also add another few points so you have a guide to draw the curve, for example the point:

y = f(0) = -16*0^2 + 22*0 + 3

    f(0) = 3

(0, 3)

6 0
3 years ago
Find the standard equation of a parabola with a vertex of (-3,1)
kkurt [141]
1. Parabola's equation is y = a(x + b)^2 + c, where (b, c) is the vertex.
2. We have y = a(x - 3)^2 + 1
3. Take everything to the left side:
-a(x - 3)^2 + y - 1 = 0
That's the standard equation. Hope this helps! :)
3 0
3 years ago
600 divided by 15 is the same as
Lemur [1.5K]

Answer:

is there more to the question?

8 0
3 years ago
The length of a rectangular garden is 6 feet less than 3 times its width. The area is 360 square feet. What is the length of the
topjm [15]
Width = w
Length = 3w - 6
Area = 360

Equation Area = wl
w (3w-6) = 360
3w^2- 6w = 360
3w^2 - 6w - 360 = 0
3 (w^2 - 2w - 120)=0
3(w + 10)(w - 12) = 0
w = -10 & 12
l = 3w-6 = 3 (-10)-6= -30 - 6= -36
l = 3w-6 = 3(12) - 6 = 36-6 = 30

Answer: -10 and 12. Yet, since this is a measurement, it must be positive so 12 ft
4 0
3 years ago
$55 per gallon. 1 gallon covers 100sqft. What is the price per sqft?
marta [7]

the price is 0.55$ per square foot

Step-by-step explanation:

We can solve the problem by using the rule of three.

In fact, we know that:

1 gallon covers an area of 100 ft^2

While the price per gallon is

$55 per gallon

This means that the price per 100 ft^2 is $55, since 1 gallon cover 100 ft^2

Therefore, to find the price per square foot, we can write

\frac{55}{100}=\frac{x}{1}

WHere x is the price per square foot. Solving for x,

x=\frac{55}{100}=0.55\$

So, the price is 0.55$ per square foot.

Learn more about problems with price:

brainly.com/question/4479991

#LearnwithBrainly

7 0
3 years ago
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