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3 years ago

Can someone please help me with this?

Mathematics

1 answer:

Ivenika [448]3 years ago

5 0

Sure, what is the question?

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How are the coordinates of the extreme value and the equation from part B in the form y=(x-h)^2-c related.

True [87]

The extreme value of y = (x - h)² - c is the vertex of the equation.

<h3>What are extreme values of a function?</h3>

The extreme values of a function are either the maximum or minimum values of the function.

<h3>The equation of a parabola in vertex form</h3>

The equation of a parabola in vertex form with vertex (h', k) is given by

y = a(x - h')² + k and its extreme values are

if a > 0 (h', k) is a minimum point and
if a < 0 (h', k) is a maximum point.

Since y = (x - h)² - c is the equation of a parabola in vertex form, comparing with y = a(x - h')² + k,

h = h'
-c = k and
a = 1.

So, the cooordinates of the vertex of y = (x - h)² - c is (h, -c).

Now, since a = 1 > 0, (h, -c) is a minimum point.

So, the extreme value of y = (x - h)² - c is the vertex of the equation.

Learn more about extreme value of a function here:

brainly.com/question/13464558

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4 0

2 years ago

John measured the diameter of four steel rods. Compare his measurements, listed below. Which one is the largest?

sveta [45]

The largest steel rod is D. 0.25 inches.

7 0

3 years ago

Read 2 more answers

What is the equation of the line shown in this graph?

dolphi86 [110]

X=-2 is shown on the graph.

8 0

3 years ago

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Why do you subtract exponents when dividing powers with the same base?

Anastasy [175]

Division. If two powers have the same base then we can divide the powers. When we divide powers we subtract their exponents. A negative exponent is the sameas the reciprocal of the positive exponent

4 0

3 years ago

Need answers ASSAP

ollegr [7]

Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt: $\pi \approx3.14$
V (volume) = ?
Ink cost per cubic inch = $0.05/in³
Total cost: ?

Calculate the volume of the paint bucket (its formed being cylindrical), we have:
 $V = \pi *r^2*h$
$V = 3.14 *3.5^2*8$
$V = 3.14*12.25*8$
$\boxed{V = 307.72\:in^3}$

What was the total cost of the paint?

price($)___measure(in³)
0.05 ---------- 1
y -------------- 307.72

It is made the rule of three: (directly proportional)

$\frac{0.05}{y} = \frac{1}{307.72}$
multiply cross
$1*y = 0.05*307.72$
$y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark$

Answer:
the total cost of the paint is $15

7 0

3 years ago