Answer:
Option B k > 0
Step-by-step explanation:
we know that
Observing the graph
The slope of the line is positive
The y-intercept is negative
we have
![3y-2x=k(5x-4)+6\\ \\3y=5kx-4k+6+2x\\ \\3y=[5k+2]x+(6-4k)\\ \\y=\frac{1}{3}[5k+2]x+(2-\frac{4}{3}k)](https://tex.z-dn.net/?f=3y-2x%3Dk%285x-4%29%2B6%5C%5C%20%5C%5C3y%3D5kx-4k%2B6%2B2x%5C%5C%20%5C%5C3y%3D%5B5k%2B2%5Dx%2B%286-4k%29%5C%5C%20%5C%5Cy%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5Dx%2B%282-%5Cfrac%7B4%7D%7B3%7Dk%29)
The slope of the line is equal to
![m=\frac{1}{3}[5k+2]](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5D)
Remember that the slope must be positive
so

The value of k is greater than -2/5
Analyze the y-intercept

1.5 is greater than zero
so
the solution for k is the interval ------> (1.5,∞)
therefore
must be true
k > 0
Answer:
Therefore the amount in the 4% savings account = $550
Step-by-step explanation:
i) the total amount = $1500
ii) let the amount placed in the 4% interest savings account = x
iii) let the amount placed in the 5% interest savings account = y
iv) therefore fro i) we can say x + y = 1500
v) the total interest gained = $69.5
vi) therefore we can write 0.04x + 0.05y = 69.50
vii) multiplying equation vi) with 100 we get 4x + 5y = 6950
viii) Multiplying the equation in iv) by 5 we get 5x + 5y = 7500
ix) Subtracting equation in vii) from equation in viii) we get x = $550
x) Therefore the amount in the 4% savings account = $550
Answer:
- there are 4 complex solutions
- 3 real zeros and 2 complex zeros
Step-by-step explanation:
1. Descarte's rule of signs tells you there are 0 positive real roots and 0 or 2 negative real roots. (for positive x, signs are ++++ so have no changes; for negative x, signs are ++-+, so have 2 changes.) A graph shows no real roots.
2. There are 3 sign changes in the given polynomial, so 3 or 1 positive real roots. When the sign of x is changed, there are 2 sign changes, so 0 or 2 negative real roots. A graph shows 2 negative and one positive real root (for a total of 3), so the remaining 2 roots are complex.
Answer:
Each side of the photocopy of the picture is enlarged by a factor of 2 so it would be A.
Step-by-step explanation:
Answer:
PT=RT
PR is prependicular to qs
PQ=QR
QPR is congruent to SPR
Step-by-step explanation: