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Alika [10]
2 years ago
8

Consider function h. Complete the statements describing the y-values of function h.

Mathematics
1 answer:
dsp732 years ago
8 0

Answer:

1) <em>The end behavior of function </em>h<em> is described by an absolute (horizontal) asymptote.</em>

2) <em>The range of function </em>h<em> is all y-values less than or equal to 0 and greater than 1. </em>

Step-by-step explanation:

1) The end behavior of the function is defined by a horizontal asymptote, that is the values of y when x tends to \pm \infty. Answer: <em>The end behavior of function </em>h<em> is described by an absolute (horizontal) asymptote.</em>

2) The range of the function is the set of values of y associated with the function. The existence of two vertical asymptotes give the following solution for the range: Ran \{h\} = (-\infty, 0] \,\cup\,(1, +\infty) Answer: <em>The range of function </em>h<em> is all y-values less than or equal to 0 and greater than 1. </em>

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What is 11/12 minus 3/8
Mrac [35]

Answer: \frac{13}{24}

Step-by-step explanation: 11/12 - 3/8

1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64, 72

2. Next, we will choose the smallest common multiple. That would be 24.

3. Now, we will work this out.

11/12 = 22/24

3/8 = 9/24

4. Subtract.

22/24 - 9/24

= 13/24

= \frac{13}{24}

I found the denomenators by multiplying.

Hope this answer helped!

8 0
2 years ago
Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

  • T = 5x+10
  • U = -11x+178
  • S = 58

For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

  • angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
  • angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

6 0
2 years ago
Aisha thinks 1,275 rounded to the nearest hundread is 1,200 because 2 is less than 5 what might aisha misunderstand about roundi
lora16 [44]
For rounding, you look at the number to the right of it.

In this case, it would be 7

because 7 is greater than 5, it is rounded up (remember, 5 and up is round up, while 4 and lower is round down)
So her answer should be 1300

hope this helps
8 0
3 years ago
Read 2 more answers
how to work out the surface areas of cuboid? height=2cm length=10cm width=7cm Please do it step by step
Radda [10]

Answer:

 208 you find the area of each face then add them up

Step-by-step explanation:

6 0
3 years ago
Find the equation of a line that passes through left parenthesis 1 comma 6 right parenthesis(1,6) and is parallel to the graph o
max2010maxim [7]

Answer:

The equation for the new line in slope-intercept form is:  

y=4x+2

Step-by-step explanation:

Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)

We are also given a point the new line should go through : "(1, 6)"

So we can use the "point-slope" form of a line to find the equation of this new line:

y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0

which for our case is:

y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2

6 0
3 years ago
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