Answer:
Step-by-step explanation:
- solve for x
- use the open circle and graph the line.
Answer:
She made $117.25
Step-by-step explanation:
Consider the provided information.
The price of marigold(M) is $5.75.
The price of daisy(D) is $6.25.
The price of roses(R) is $2.50.
The price of Lilies(L) is $3.75
She sold 8 marigold flats and 10 daisy flats. An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 1/3 of the price
Total money Paloma made = 
Now substitute the respective value
Total money Paloma made = 
Total money Paloma made = 
Total money Paloma made = 
Hence, she made $117.25
Answer:
120
Step-by-step explanation:
the pic was blury but the bigger rectangle seemed to be 10 by 8 so you multiply 10×8=80. the smaller rectangle is 5 by 8 so you multipy 5×8=40. then add 40+80=120
I think you mean "if the points <span>(2,5), (3,2) and (4,5) satisfy an unknown 3rd degree polynomial, what is the polynomial?"
Since 3 roots {2, 3, 4} are known, we might begin by assuming that this poly would have the form y = ax^3 + bx^2 + cx + d (which has three factors). Unfortunately, three roots are not enough to determine all four constants {a, b, c, d}.
So, let's assume, instead, that the poly would have the form y = ax^2 + bx + c. Three given points should make it possible to determine {a, b, c}.
(2,5): 5 = a(2)^2 + b(2) + c => 5 = 4a + 2b + c
(3,2): 2 = a(3)^2 + b(3) + c => 2 = 9a + 3b + 5 - 4a - 2b
(4,5): 5 = a(4)^2 + b(4) + c => 5 = 16a + 4b + 5 - 4a - 2b
Now we have two equations in a and b alone, which enables us to solve for a and b:
</span>2 = 9a + 3b + 5 - 4a - 2b becomes -3 = 5a + b
<span>and
</span>5 = 16a + 4b + 5 - 4a - 2b becomes 0 = 12a + 2b, or 0 = 6a + b, or 0=-6a-b
<span>
Adding this result to -3 = 5a + b, we get -3 = -a, so a =3.
Thus, since -3 = 5a + b, -3 = 5(3) + b, so b = -18
All we have to do now is to find c. Let's do this using </span>5 = 4a + 2b + c.
We know that a = 3 and b = -18, so this becomes 5 = 4(3) + 2(-18) + c.
Thus, 5 = 12 - 36 + c, or c = 29.
With a, b and c now known, we can write the poly as y = 3x^2 - 18x + 29.
Now the only thing to do remaining is to verify that each of the three given points satsifies y = 3x^2 - 18x + 29. Try this, please.
Answer:
The coordinates for the reflection of quadrilateral ABCD is..
A'(-7,2) ----> A'(-7,-2)
B'(-7,4) ----> B'(-7,-4)
C'(-4,6) ----> C'(-4,-6)
D'(-1,6) ----> D'(-1,-6)
Step-by-step explanation:
Since it's being reflected over the x-axis, the x remains the same and the y becomes a negative.
