Evaluate 3 7 r + 5 8 s 7 3 r+ 8 5 sstart fraction, 3, divided by, 7, end fraction, r, plus, start fraction, 5, divided by, 8
bazaltina [42]
Answer:
Therefore the value of given expression when r = 14 and s = 8 is
Step-by-step explanation:
Given:
To Find:
Value of above equation when r = 14 and s = 8
Solution:
.............Given
Put,
Now 7 × 2 = 14 and 8 will cancel each other we get
Therefore the value of given expression is
<u>Answer:</u>
Option D is the correct answer.
D. This is a linear function because there is a common difference of 2.
<u>Step-by-step explanation:</u>
Linear function--
A function is said to be linear if the rate of change is constant.
i.e. the function is increasing by a fixed constant.
Here the table is given by:
Hour (x) Number of Customers f(x)
1 2
2 4
3 6
From the table of values we observe that as the value of increasing by 1 the value of y is increasing by 2.
i.e. the rate of change is constant i.e. 2.
Also, the common difference is 2.
Since,
4 - 2 = 2
and
6 - 4 = 2
Hence, the table represents a linear function.
P = 2(L + W)
P = 360
L = 5W
360 = 2(5W + W)
360 = 2(6W)
360 = 12W
360/12 = W
30 = W <=== width
L = 5W
L = 5(30)
L = 150 <=== length
Answer:
Step-by-step explanation:
positive integer divisible by 3 includes
3,6,9,12,15,18,21,24,27,30,33,36,39,42,45...
less than highest possible value is 42
Answer:
The correct option is:
A) L'' (-4 , -4) , M'' (-1 , -4) , N'' ( -1 , 0) , O'' (-4 , 0)
Step-by-step explanation:
The following are the vertices of a rectangle LMNO
L (-4 , 6)
M (-1 , 6)
N (-1 , 2)
O (-4 , 2)
First we have to reflect it across x-axis
When we reflect a shape across x-axis, the x components of the points remain the same while y components change their signs. After reflection:
L' (-4 , -6)
M' (-1 , -6)
N' ( -1 , -2)
O' (-4 , -2)
After we translate it up by two units, we add +2 to y components of each reflected point.
L'' (-4 , -4)
M'' (-1 , -4)
N'' ( -1 , 0)
O'' (-4 , 0)
Hence, the correct option is A