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julsineya [31]
2 years ago
5

The function h is defined by h(x)=x^2 +2. Find h(3y).

Mathematics
1 answer:
klio [65]2 years ago
6 0
The function h is defined by h(x)=x^2 +2.
Find h(3y).
The answer is 2+9 _
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Which interval for the graphed function contains the local
Greeley [361]

Answer:

2-[1, 2]

Step-by-step explanation:

From the graph, we can conclude the following things:

1. The graph is of degree 4 as it intersects the x axis at 4 points.

2. The graph tends to infinity for increasing the value of 'x' along positive or negative x-axis.

3. The graph has 3 turning points between the intervals [-1, 0], [1, 2] and [2, 3]

4. Local maximum: The top of mountain of the graph represents local maximum. So, during the interval [1, 2], there is a local maximum.

5. Local minimum: The lowest point or the valley of the graph represents local minimum.

So, during the intervals [-1, 0] and [2, 3], there are local minimums.

Thus, there is only one local maximum during the interval [1, 2].

4 0
2 years ago
Read 2 more answers
What is the answer need help
abruzzese [7]

Answer:

2

Step-by-step explanation:

x + 2y = 14

2y = -x + 14

y = -1/2 x + 7

m = -1/2

product of slopes is -1

so perpendicular slope is 2

3 0
2 years ago
Mr. pham cuts a cake into 8 equal slices. then, he cuts every slice in half. how many of the smaller slices does he have. use wo
Katen [24]
8 times 2 equals 16 so the answer would be 16

4 0
3 years ago
The length of a rectangle is 4 units less than the width. The area of the rectangle is 21 units. What is the length, in units, o
bazaltina [42]

The formula of an area of a rectangle:

A = wl

We have l = w - 4 and A = 21.

Substitute:

w(w - 4) = 21       <em>use distributive property</em>

(w)(w) + (w)(-4) = 21

w² - 4w = 21     <em>subtract 21 from both sides</em>

w² - 4w - 21 = 0

w² - 7w + 3w - 21 = 0

w(w - 7) + 3(w - 7) = 0

(w - 7)(w + 3) = 0 ↔ w - 7 = 0 ∨ w + 3 = 0

w = 7 ∨ w = -3 < 0

l = w - 4 → l = 7 - 4 = 3

<h3>Answer: the length = 3 u.</h3>
4 0
2 years ago
Find three consecutive even integers such that 3 times the first is 26 less than twice the sum of the last two
Dimas [21]
Let's say our first integer is "a".

how to get the next consecutive EVEN integer?  well, just add or subtract 2 from it, therefore, the second consecutive integer will be "a + 2".

and the next after that, will then be (a + 2) + 2, or "a + 4".

so those are are 3 integers, a           a + 2           a+4

notice that, from any even or odd integer, if you hop twice either forwards or backwards, you'll land on another even or odd integer respectively.

2 + 2 is 4, or 8 + 2 is 10  some even ones

3 + 2 is 5, or 13 + 2 is 15, some odd ones

\bf \stackrel{\textit{3 times the first}}{3a}~~=~~\stackrel{\textit{26 less than twice the sum of the others}}{2[~(a+2)+(a+4)~]~~~-26}&#10;\\\\\\&#10;3a=2[~2a+6~]-26\implies 3a=4a+12-26\implies 3a=4a-14&#10;\\\\\\&#10;0=a-14\implies 14=a

what are the other two consecutive integers?  well, a + 2 and a + 4.
4 0
3 years ago
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