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denis23 [38]
3 years ago
7

What is the minimum value for h(x)=x2−16x+60?

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0
Minimum value is equal to x=8, y=-4
First find the derivative of the original equation which equals= d/dx(x^2-16x+60) = 2x - 16
at x=8, f'(x), the derivative of x equals zero, so therefore, at point x = 8, we have a minimum value.
Just plug in 8 to the original equation to find the answer for the minimum value. 
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Which two steps could be taken to simplify the expression y/3 + 2 = 11?<br>​
IRINA_888 [86]

Answer:

y = 27

Step-by-step explanation:

y/3 + 2 = 11

First subtract 2 from each side

y/3 + 2-2 = 11-2

y/3  = 9

Then multiply each side by 3

y/3 *3 = 9*3

y = 27

8 0
3 years ago
Read 2 more answers
I need the answers to both. Will give brainiest!
miskamm [114]

Answer:

1. Number 1 and 2 and 4 is a function, 2. number 1 is a function

Step-by-step explanation:

1)To know if it's a function or not run vertical lines through multiple places of the graph. If it is a function every single time you do the vertical line test it should only go over the line once. If you do the vertical line test on 3 you will see that it went over the line on the graph, so we know not a function. Graphs 1, 2, and 4m however, are different, when you do the vertical line test on those graphs it only goes over them once.

2) Choice (1) is a function because when drawing vertical lines through the graph it only goes over one.

Choice (2) is not a function because when drawing vertical lines through the graph it covers two points on the graph.

Choice (3) is not a function because when drawing vertical lines through the graph it goes over multiple points.

Choice (4) is not a function because when a vertical line is drawn, it goes over more than one point on the graph.

The vertical test is a way to determine if it is a function.

When looking at a table functions are one-to-one and many-to-one

Non-functions are one-to-many and many-to-many

Hoped this helped you : )

5 0
3 years ago
HELP ME!!
inysia [295]

Answer:

y intercept (0,-2) x intercept (3,0)

Step-by-step explanation:

first we have to solve for y.

2x-3y=6

step 1 subtract 2x from each side

-3y=-2x+6

step 2 divide each side by -3

y=2/3x-2

now I am going to graph this to make it easier for you

5 0
3 years ago
the radius of the curvature is 10ft and the height of the segment is 2ft whatthe length of the chord ? a.10ft, b.15, c.7.5 ,d.12
arsen [322]
Radius of curvature = 10'
Diameter of circle = 2 * 10' = 20'
height of segment = 2'
Let semi-chord be x.
Then by the intersecting chord property,
2*(20-2)=x^2
x^2=36
x=sqrt(36)=6
=>
chord=2x=2*6=12'
3 0
3 years ago
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length
inn [45]

Answer:

The original function is f(m) = 5(1.07)^m, with the m as an exponent

part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m

plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9

part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent

part C) average rate of change from m = 1 to m = 9

f(9)−f(1)9−1

evaluate, and think about what that represents in terms of height and number of months

8 0
3 years ago
Read 2 more answers
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