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MariettaO [177]
3 years ago
15

Find a quadratic equation with integer coefficient ,if one of the roots is 7-root3

Mathematics
1 answer:
solmaris [256]3 years ago
6 0
One of the roots of a quadratic equation is 7 - √3.

Because rational roots occur in conjugate pairs, the other root is 7 + √3.
The quadratic equation is
(x -(7-√3))(x - (7+√3))
= x² - (7+√3)x  - (7-√3)x + (49-3)
= x² - 7x - (√3)x - 7x + (√3)x + 46
= x² - 14x + 46

Answer: x² - 14x + 46


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A density curve for all the possible ages between 0 years and 50 years is in the shape of a triangle. What is the height of the
Alex_Xolod [135]

Answer:

0.04

Step-by-step explanation:

For a density curve, total area = 1

Probability lies in between 0 and 1

The Area of triangle :

Area = 1/2 base * height

Base = 0 - 50 = 50

Area = 1

Hence,

1 = 1/2 * 50 * h

1 = 50h / 2

2 = 50h

h = 2 / 50

h = 0.04

5 0
2 years ago
The price of a cellular telephone plan is based on peak and nonpeak service. Kelsey used 45 peak minutes and 50 nonpeak minutes
Oxana [17]
We can build a system of two linear equations with two unknowns with the info provided in the problem, one with Kelsey info and one with Mitch info like so:
Lets call p the amount on peak minutes and n the amount of non-peak minutes:
45p + 50n = 27.75
70p + 30n = 36
lets reduce the equations dividing the first by 5:
9p + 10n = 5.55
<span>70p + 30n = 36
</span>now, to eliminate n, lets multiply the first equation by -3 and add the two equations:
-27p - 30n = -16.65
<span>70p + 30n = 36
</span>----------------------------
43p + 0 = 19.35
p = 19.35<span>/43
p = 0.45
therefore the peak rate is $0.45 per minute
lets substitute in one of the original equations this result:
</span><span>45p + 50n = 27.75
</span>45(0.45) + 50n = 27.75
20.25 <span>+ 50n = 27.75
50n = 27.75 - 20.25
50n = 7.5
n = 7.5/50
n = 0.15
therefore the non-peak rate per minute is $0.15</span>
5 0
3 years ago
Abby, Benji, and Caitlin are training for a race. Last week, Abby ran 6One-half miles and Benji ran 8 miles. They ran a total of
vichka [17]

Answer:

C and D

Step-by-step explanation:

This is a comparision  problem. (C)

The totla bar represents 30.8 miles. (D)

Caitlin ran 16.3 miles.

Hope this helps!

6 0
3 years ago
Read 2 more answers
Need explaining ASAP I’m in year 4
ZanzabumX [31]

Answer:

first one is 30  5  40

                  35 25  15

                  10  45 20

second one is   5  26  11

                         20 14  8

                          17   2 23

third one is  9 16 11

                   14 1210

                   13  8 15

and forth one is  20  70  60

                           90  50   10

                           40  30  80

Step-by-step explanation:

which ever direction you know 2 of 3 numbers, you add them and subtract the sum its supposed to add up to.  rough explanation

3 0
3 years ago
The table below shows the surface area y in square inches, of a shrinking puddle in x hours
Kruka [31]
Part A
Correlation coefficient: -.99
This tells us that as time goes on (value of x increases) the area of the puddle goes down (value of y decreases)

Part B
y₂ - y₁
-------   = slope
x₂ - x₁
9 - 15
--------
5 - 8
-6/-3 = 2
So the slope equals -2, regardless of the fact that we got 2 as an answer there, we know that it is a negative slope 

Part C
The data represents causation because an increase in the value of x results in a decrease in the value of y, this shows an example of direct causation between x and y.
8 0
3 years ago
Read 2 more answers
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