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mihalych1998 [28]
3 years ago
6

The graph shown is the solution set for which of the following inequalities?

Mathematics
2 answers:
elena55 [62]3 years ago
8 0
The inequality is y < l x+3 l
podryga [215]3 years ago
7 0
<h2>Answer:</h2>

The inequality that represent the given graph is:

                    y < |x + 3|

<h2>Step-by-step explanation:</h2>

By looking at the graph we see that the graph is a graph of a modulus function with vertex at (-3,0)

( The equation of modulus function with vertex at (-3,0) is given by:

y=|x+3| )

and the inequality must be strict since the line of the graph is dotted.

also, the shaded region is towards the origin.

Hence, the inequality must pass the zero point test.

Hence, the inequality which satisfies all these conditions is:

                                  y <  |x + 3|

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9. Mary is running at a pace where it takes him 8 minutes to run one mile. Let T represent the time that Mary has run, in minute
guapka [62]

Answer:

rate that Mary has run:  D = 8T

Step-by-step explanation:

distance = rate × time

4 0
3 years ago
4. Timothy deposited $3500 into an accountthat pays 4.3% simple interest and keeps it
hjlf
$3,500(4.3%)4= $602

His new account balance after interest is $602
6 0
3 years ago
Mike withdrew $32 from his bank account. The transaction slip said his balance was $289.14. What was his previous balance?
Temka [501]
<span>His previous balance was $321.14
289.14 + 32 = 321.14

hope this helps
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4 0
3 years ago
Determine whether or not 630 is a triangular number. start with the formula t n = n ( n + 1 ) 2 and then use the quadratic formu
ziro4ka [17]
Triangular sequence = n(n + 1)/2

If 630 is a triangular number, then:

n(n + 1)/2  = 630

Then n should be a positive whole number if 630 is a triangular number.

n(n + 1)/2  = 630

n(n + 1)  = 2*630

n(n + 1)  = 1260

n² + n = 1260

n² + n - 1260 = 0

By trial an error note that 1260 = 35 * 36

n² + n - 1260 = 0

Replace n with 36n - 35n

n² + 36n - 35n - 1260 = 0

n(n + 36) - 35(n + 36) = 0

(n + 36)(n - 35) = 0

n + 36 = 0   or   n - 35 = 0

n = 0 - 36,   or  n = 0 + 35

n = -36, or 35

n can not be negative. 

n = 35 is valid.

Since n is a positive whole number, that means 630 is a triangular number.

So the answer is True.
7 0
3 years ago
The prism shown has a volume of 798 cm3.
a_sh-v [17]

Answer:

10.5 cm

Step-by-step explanation:

Volume = base area × height

798 = (9.5 × 8) × height

height = 798/76

height = 10.5

4 0
3 years ago
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