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Nata [24]
3 years ago
5

Which graph shows the solution set of the compound inequality 1.5x-1>6.5 or 7x+3<-25

Mathematics
1 answer:
ad-work [718]3 years ago
8 0
For this case we have the following inequations:
 1.5x-1> 6.5
 7x + 3 <-25
 Clearing x from each one we have:
 For 1.5x-1> 6.5:
 1.5x> 6.5 + 1
 1.5x> 7.5
 x> 7.5 / 1.5
 x> 5
 For 7x + 3 <-25:
 7x <-25-3
 7x <-28
 x <-28/7
 x <-4
 The solution set is:
 (inf, -4) U (5, inf)
 Answer:
 See attached image

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Convert 300 centimeters to yards.
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Answer:  3.2808

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Divide 300 by 91.44

8 0
3 years ago
A School decides to organize field trips for all students. Tickets for first years were sold at GH¢0.40 per student and continui
Pepsi [2]

Answer:

60%

Step-by-step explanation:

You can solve this problem by setting up a system of equations.

Let's say that the number of tickets bought by students in the first year is x, and the number bought by continuing students is y. From there, you can set it up like this:

0.4x+0.2y=160

x+y=500

Now, you can multiply the first equation by 5 on both sides to get:

2x+y=800

Subtracting the second equation from the first equation now yields:

x=300

y=200

Since 300 of the 500 tickets bought were from the first year students, and 300/500 is 0.6, 60% of the students who bought the ticket were first year students. Hope this helps!

7 0
3 years ago
A farmer has 180 yards of fencing material to make a rectangular
dlinn [17]

Answer: 60 yd

Step-by-step explanation:

Here: subdivided into 3 smaller pens (2w + w + w) extra widths for separation purposes (3 smaller pens)

180 yards of fencing material

180yd = 2L + 4w

180dy = 2*60 + 4w

60dy = 4w

w = 15yd, how wide can the rectangle can  be with L = 60yd

5 0
3 years ago
What are the following of this function y = 4sin (2( x - <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%5Cpi%20%7D%7B4%7D" id="Te
Andrei [34K]

Answer:

See below...

Step-by-step explanation:

For a function whose formula is in this pattern:

y=A\sin\left(B(x-C)\right)

Amplitude: |A|

Period: \frac{2\pi}{B}

Phase Shift:  C

In this question, A=4,\,B=2,\,C=\frac{3\pi}{4}

Amplitude: 4

Period: \frac{2\pi}{2}=\pi

Phase Shift: \frac{3\pi}{4}

There is no vertical shift, so the midline is the x-axis whose equation is y = 0.

Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.

The graph is attached.

6 0
3 years ago
The table represents a function.
mezya [45]

Answer:

-8

Step-by-step explanation:

You are given the following table representing the function f(x):

\begin{array}{cc}x&f(x)\\-4&-2\\-1&5\\3&4\\5&-8\end{array}

This means

f(-4)=-2\\ \\f(-1)=5\\ \\f(3)=4\\ \\f(5)=-8

Hence,

f(5)=-8

8 0
4 years ago
Read 2 more answers
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