Solve the system of equations. \begin{aligned} & -9x+4y = 6 \\\\ & 9x+5y=-33 \end{aligned} −9x+4y=6 9x+5y=−33
Answers
Answer:
x = -2
y = -3
Step-by-step explanation:
We can use either substitution or elimination for this problem. I will use elimination to solve this problem:
Step 1: Eliminate x by adding the 2 equations together
9y = -27
y = -3
Step 2: Plug in y into one of the original equations to get x
-9x + 4(-3) = 6
-9x -12 = 6
-9x = 18
x = 2
And we have our final answers!
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6)Do these calculations and use proper significant figures:26 X 0.02584 =15.3 +1.1 =782.45 X 3.5 =63.258 + 734.2 =
Factor of this expression 3X + 21 IS
B- The median score was 70 points.
C- 50% of the students scored below 70 points.
D- This would be a normal distribution.
Answers
Answer: C) 50% of the students scored below 70%
Step-by-step explanation:
Mean is the average. To find the mean (aka average) you add up all of the scores and divide by the number of tests.
B) The mean can be 70 without any test scoring 70% so B is not true.
A) Since B is not true, then A is not a valid option.
D) We don't know any of the other data so don't know if it is skewed left, skewed right, or normal. Therefore, option D is not true.
C) If the average is 70%, then half received grades above that score and half received grades below that score. So, option C is TRUE!
Answers
Answer:
21
best of luck!
Answer:
21
Step-by-step explanation:
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
15 + 6 = 21
Hope it helps
Mark it as Brainliest!
Answers
Answer:
3+2=5. Lets say you went to Mcdonalds and you wanted to order a 6 piece of nuggets. You place your order and pick it up and drive home. When you get hoome you sit down at a table and unpack your order you find that it does not have 6 pieces but instead has 5. You cant believe it so you go recout. 1, 2, 3, and set them aside only to find 2 left in the box, so the triple check you pull out a calculater and type in 3+2 and you get 5.
Step-by-step explanation:
Answers
Answer:
a
Step-by-step explanation:
good luck :)
Answers
Answer:
The maximum volume of such box is 32m^3
V = x×y×z = 32 m^3
Step-by-step explanation:
Given;
Total surface area S = 48m^2
Volume of a rectangular box V = length×width×height
V = xyz ......1
Total surface area of a rectangular box without a lid is
S = xy + 2xz + 2yz = 48 .....2
To be able to maximize the volume, we need to reduce the number of variables.
Let assume the rectangular box has a square base,that means; length = width
x = y
Substituting y with x in equation 1 and 2;
V = x^2(z) ....3
x^2 + 4xz = 48 .....4
Making z the subject of formula in equation 4
4xz = 48 - x^2
z = (48 - x^2)/4x .......5
To be able to maximize V, we need to reduce the number of variables to 1, by substituting equation 5 into equation 3
V = x^2 × (48 - x^2)/4x
V = (48x - x^3)/4
differentiating V with respect to x;
V' = (48 - 3x^2)/4
At the maximum point V' = 0
V' = (48 - 3x^2)/4 = 0
Solving for x;
3x^2 = 48
x = √(48/3)
x = √(16)
x = 4
Since x = y
y = 4
From equation 5;
z = (48 - x^2)/4x
z = (48 - 4^2)/4(4)
z = 32/16
z = 2
The maximum volume can be derived by substituting x,y,z into equation 1;
V = xyz = 4×4×2 = 32 m^3
Answers
Answer:
The length of the guy wire is 17ft.
Step-by-step explanation:
a = 15ft
b = 8ft
c =
c =
c =
c = 17
The length of the guy wire is 17ft.
Answer:
17
Step-by-step explanation:
c=15×15+8×8
c=225+64
c=289=17