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Oxana [17]
3 years ago
5

What is that solution to this inequality 2(x-4)+14<=x-1

Mathematics
2 answers:
Fed [463]3 years ago
6 0
2(x-4)+14\leq x-1\\&#10;2x-8+14\leq x-1\\&#10;2x-x\leq-1+8-14\\&#10;x\leq-7
Varvara68 [4.7K]3 years ago
3 0
2(x-4)+14\leq x-1\\2x+2(-4)+14\leq x-1\\2x-8+14\leq x-1\\2x+6\leq x-1\ \ \ \ |subtract\ 6\ from\ both\ sides\\2x\leq x-7\ \ \ \ |subtract\ x\ from\ both\ sides\\\boxed{x\leq-7\to x\in(-\infty;-7]}
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Mike argues the following side lengths can make a triangle. Sam says he is incorrect. Who is correct and why? 3m, 5m, 10m
victus00 [196]

Answer:

Sam is correct

Step-by-step explanation:

The third side is the one with greatest length. To make a triangle the other two lengths have to be greater than the greatest one when combined.

Hope this Helps.

5 0
2 years ago
Read 2 more answers
. A pitcher’s mound on a women’s softball field is 43 feet from home plate and the distance between the bases is 60 feet. How fa
butalik [34]

Answer:

42.43 ft

Step-by-step explanation:

Please find attached an image of the softball pitch

h² = p² + f² -2x p×f×cos45

h² = 43² + 60² - 2x (43)(60) x 0.7071

h² = 1849 +  3600 - 3648.636

h² = 1800.364

h = √1800.364

h = 42.43 feet

8 0
2 years ago
Jack earns $50 for washing cars on the weekend. he makes an average of $4.25 in tips per hour. write the function of joe's earni
solong [7]
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8 0
3 years ago
Suppose $600 is compounded yearly for 20 years. If no other deposits are made, what rate is needed for the balance to triple in
denis-greek [22]

Answer:

5.65%

Step-by-step explanation:

Principal=$600

Time=20 years

FV=600*3=$1800

n=1

r=?

r= n[(A/P)^1/nt - 1]

=1{(1800/600)^ 1/1*20 - 1}

={(3)^1/20-1}

=3^0.05-1

=1.0565-1

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rate=0.0565*100

=5.65% to the nearest hundredth percent

4 0
3 years ago
Find the perimeter of the triangle
vredina [299]
We can find the area of the big triangle, and subtract it from the small 4 x 2 triangle.

bh/2
3*8/2
12

bh/2 
2*4/4
4

12 - 8
4 unit²

To find the perimeter:
a² + b² = c²
9 + 64 = c²
73 = c²
√73 = c

√73 + 3 + 8 + 2  + 4
√73 + 17


Hope this helps!
4 0
3 years ago
Read 2 more answers
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