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vfiekz [6]
3 years ago
6

1.

Mathematics
1 answer:
mr_godi [17]3 years ago
8 0
Plug the points into the equation.
Ex. y=3x-5
(X,y)
1. (5,10): 10=3(5)-5
15-5=10; point 1 is valid
-1=3(-2)-5
-1=-6-5
-1 does not equal -11
Point 2 is not valid
Same process for letter B
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= 2. Given the quadratic equation 3x2 – 8x + k = 0 has no real roots. Find the range of values of k.
VashaNatasha [74]

\text{If there  are no real roots, then}\\\\~~~~~\text{Discriminant} < 0\\\\\implies b^2 -4ac < 0\\\\\implies (-8)^2 -4 \cdot 3 k < 0\\\\\implies 64-12k < 0\\\\\ \implies 12k > 64\\\\\implies k > \dfrac{64}{12}\\\\\implies k > \dfrac{16}3\\\\\text{Interval,}~ \left( \dfrac{16}3, ~\infty\right)

6 0
2 years ago
3) Mr. Wright is going to do an experiment and needs a volunteer r. Josh, Eddie, Jordan, Brent, Alice, Betsy, and Marcus all wan
Zina [86]
Ok there is 7 students in total… the ratio of boys to girls is 5 to 2, so 5 divided by 7 is 0.714%
5 0
2 years ago
What are the solutions to the system of equations?
svet-max [94.6K]

Answer:the third option is correct

Step-by-step explanation:

The system of equations are

y = 2x^2 - 5x - 7 - - - - - - - - - - -1

y = 2x + 2 - - - - - - - - - - - - - 2

We would equate equation 1 and equation 2. It becomes

2x^2 - 5x - 7 = 2x + 2

2x^2 - 5x - 2x - 7 - 2 = 0

2x^2 - 7x - 9 = 0

We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore

2x^2 + 2x - 9x - 9 = 0

2x(x + 1) - 9(x + 1) = 0

2x - 9 = 0 or x + 1 = 0

2x = 9 or x = - 1

x = 9/2 = 4.5

Substituting x = 4.5 or x = -1 into equation 2, it becomes

y = 2 × 4.5 + 2 or y = 2 × - 1 + 2

y = 11 or y = 0

Therefore, the solutions are

(4.5, 11) (- 1, 0)

6 0
3 years ago
Determine the value of x
maxonik [38]

Answer:

6\sqrt{3}

Step-by-step explanation:

using the sine rule,

\frac{sin 60}{x} = \frac{sin 30}{6} \\x=\frac{sin60 * 6 }{sin30} \\x=6\sqrt{3}

7 0
3 years ago
I need help on finding the % increase from 40 to 66...
disa [49]
So assuming that 40=100%
66=x%
so
40 and 66
divide by 2
20 and 33
multiply by 5
100 and 165
so 100 is 100% and 165=165%
165-100=65
it is a 65% increase
5 0
3 years ago
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