Answer:
Find a polynomial function whose graph passes through (6,13), (9,-11), (0,5)
1 Answers
Assuming a quadratic, we have that
y = ax^2 + bx + c
Since (0,5) is on the graph, c =5
And we have the remaining system
a(9)^2 + b(9) + 5 = -11
a(6)^2 + b(6) + 5 = 13 simplify
81a + 9b = -16 multiply through by 6 ⇒ 486a + 54b = - 96 (1)
36a + 6b = 8 multiply through by -9 ⇒ -324a -54b = -72 (2)
Add (1) and (2)
162a = -168
a = -28/27
To find b we have
36 (-28/27) + 6b = 8
-112/3 + 6b = 8
⇒ b = 68/9
The function is
y = - (28/27)x^2 + (68/9)x + 5
I am pretty sure there are 8 fluid oz. in one cup so you divide 76 by 8 and the answer is 9.5 or 9 1/2.
Hope this helped :)
Answer:
False
Step-by-step explanation:
We find the volumes of the two cubes and compare them.
volume of cube = side^3
The volume of the 10-cm cube is:
V = (10 cm)^3 = 1000 cm^3
The volume of the 5-cm cube is:
V = (5 cm)^3 = 125 cm^3
1000/125 = 8
The volume of the 10-cm cube is 8 times the volume of the 5-cm cube.
The statement is false.
Answer:
0.8(Decimal Form) and 80%(Percent Form)
Step-by-step explanation:
The volume of a cuboid toy chest is equal to their product of the length,
width, and height.
- The correct option for the toy chest she should purchase is; <u>Only toy chest A will provide the necessary storage space</u>.
Reasons:
The dimensions of the toy chest are;
Toy chest A;
Length = 5 feet
Width = 4 feet
Height = 2 feet
Toy chest B;
Length = 4 feet
Width = 2 feet
Height = 4 feet
Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³
Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³
The volume of the toy chest Mrs. Smith needs = 35 ft.³
The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³
The correct option is; <u>Only toy chest A will provide the necessary storage space</u>
<em>Possible question options obtained from a similar question found online are;</em>
<em>Either toy chest have the storage space needed</em>
<em>Neither has the storage space needed</em>
<em>Only toy chest A</em>
<em>Only toy chest B</em>
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Learn more about calculating volumes of various shapes here:
brainly.com/question/3789826