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scZoUnD [109]
3 years ago
5

Solve the following quadratic equation for all values of x in simplest form. 3(4x + 1)2 – 37 = 5

Mathematics
1 answer:
motikmotik3 years ago
8 0

Answer:

Step-by-step explanation:

Add 37 to both sides (to combine like terms):

3(4x + 1)^2 = 42

Reduce this by dividing both sides by 3:

(4x + 1)^2 = 14

Taking the square root of both sides results in:

4x + 1 = ± √14, or

4x = -1 ± √14

Solve for x by dividing both sides by 4:

       -1 ± √14

x = ----------------

              4

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The equation of a circle centered at the origin is x^2+y^2=16. what is the radius of the circle?
vekshin1

Answer:

The center is (0,0) and the radius is 4

Step-by-step explanation:

x^2+y^2=16.

The equation of a circle can be written in the form

(x-h)^2+(y-k)^2=r^2  where ( h,k) is the center and r is the radius

(x-0)^2+(y-0)^2=4^2

The center is (0,0) and the radius is 4

4 0
3 years ago
Hello could anyone tell me what 12 plus 14 times 2000 divided by 13 is?
sveticcg [70]
The exact answer is 2,165.846153846154
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5 0
3 years ago
It's 9 4/5 miles from Justin's house to the art museum the distance to the history museum is 9/10 this far
Leno4ka [110]
The history museum is less that 9 4/5 miles. 9/10 means that the 9 3/4 mile is broken up into 10 equal parts and the distance to the museum is only 9 of those parts. 9 3/4 (9.8) divided by 10 equals 98/100 (.98) 
98/100 x 9 = 882/100 or 8.82 

Justin's house is 8.82 miles from the museum. 
6 0
4 years ago
Read 2 more answers
It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income ins
katovenus [111]

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

3 0
3 years ago
What is the 9th term in the sequence 2, -6, 18, -54, ...?
gregori [183]

Your answer would be 13,122

You would multiply by -3 each time for this particular sequence.

Hope I helped!

6 0
3 years ago
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