Answer:
x = 7
y = -2
Step-by-step explanation:
4x + 3y = 22 ---------------------(I)
5x - 4y = 43 ---------------------(II)
Multiply(I) by 4 and equation (II) by 3. And then add the equations
(I) * 4 16x + 12y = 88
(II) *3 <u>15x - 12y = 129</u> {Add & thus y will be eliminated}
31x = 217
x = 217/31
x = 7
Plug in the value of x in equation (I)
4*7 + 3y = 22
28 + 3y = 22
3y = 22 - 28
3y = -6
y = -6/3
y = -2
For table # 1:
x= 1 * 3.5 = 3.5
x = 2*3.5 = 7
x = 3*3.5 = 10.5
x = 4* 3.5 = 14
For table #2
x=1 * 3 = 3
x =2 * 3 = 6
x = 3*3 = 9
x = 4* 3 = 12
Hence, the data sets show multiplicative relationships:
For data set 1 is 3.5 times x, and in data set 2 y is 3 times x.
Answer:
look at the picture i have sent
Answer:
The answer is C.
Step-by-step explanation:
Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.
In this case, the initial postion is a platform 30ft above ground so h0=+30
The initial velocity is 38 ft/s straight up into the air so v0=+38
h(t)=-16t2+38t+30
When the object hits the ground, h=0.
h=-16t2+38t+30=0
Simplifying 8t2-19t-15=0
(8t+5)(t-3)=0
t=-5/8 or 3
As time cannot be -ve, t=3s. The answer is C.
Answer:

Step-by-step explanation:
Let <em>A</em> be the event of getting an odd number.
<em>P(A)</em> be the probability of getting an odd number.
Total odd numbers here are 6 i.e. 
Here, total numbers in the game are 12 i.e
.
Formula for probability of an <em>event E</em> can be observed as:


Let <em>B</em> be the event of getting 11.
<em>P(B)</em> be the probability of getting 11.
Total number of possible cases is 1.

is the probability that we get 11 and an odd number.
Possible number of cases = 1

<em>P(B/A)</em> is the probability that we get an 11 given that it is an odd number.

Hence, P(B/A) = 