Answer:
-49
Step-by-step explanation:
multiply 7 with 7 then i with i and lastly multiply the result numbers
7i × 7i ➡ 7 × 7 = 49
i × i = i^2
49 × i^2 = 49i^2
i^2 = -1 ➡ 49 × (-1) = -49
X = first integer, y = second integer (right after x)
since y is right after x, we can say
y = x+1
If the product of the two integers (x and y) is 42, then
x*y = 42
x*( y ) = 42
x*( x+1 ) = 42 ... y is replaced with x+1
x*x + x*1 = 42
x^2 + x = 42
x^2 + x - 42 = 0
(x + 7)(x - 6) = 0 ... factor
x + 7 = 0 or x - 6 = 0
x = -7 or x = 6
The result must be positive as the problem states it, so we toss out x = -7
The only answer is x = 6
If x = 6, then
y = x+1
y = 6+1
y = 7
The two consecutive numbers are 6 and 7
The final answer is 6
Sure enough, 6*7 = 42 checks out
Answer:
c = -6
Step-by-step explanation:
Let us solve your equation step-by-step, which is this: c
/−3 + 5 = 7
The first step is to simplify both sides of the equation: −1
/3
c + 5 = 7
Then, subtract 5 from both sides: -1/3c + 5 - 5 = 7 - 5 ---> -1/3c = 2
Multiply both sides by -3/1 making it equal to: c = -6.
Answer:
<em>The Graph is shown below</em>
Step-by-step explanation:
<u>The Graph of a Function</u>
Given the function:

It's required to plot the graph of g(x). Let's give x some values:
x={-2,0,2,4,6}
And calculate the values of y:

Point (-2,-24)

Point (0,-6)

Point (2,0)

Point (4,-6)

Point (6,-24)
The graph is shown in the image below
Answer:
52
Step-by-step explanation:
Area of bigger rectangle (A1)= 9×11=99
Area of smaller rectangle(A2)=8×6=48
Area of shaded region(A)=99-48=52