Answer:
9 and 11
Step-by-step explanation:
So let's say that the first integer is x.
That means that the second integer is x+2, since it us the next odd number.
This problem can be easily solved with our mind the answer is 9 and 11, but I'll show you the steps to slove this.
We make an equation using these two numbers:
Now all we gotta do is solve for x:
Now we use either splitting the middle term or quadratic formula:
Now we split each terma and solve for x:
Now the question states <em>positive </em>so we can rule out x = -11.
Now we have the first integer x = 9,
the second integer is x+2 = 9+2 =11
So the two consecutive positive odd integers are 9 and 11
Answer:
The length of KH is 6 units and OH is 6.3 units.
Step-by-step explanation:
Given the figure with lengths LO=5 and OK=4. we have to find the length of OH and KH.
In ΔLOH
By Pythagoras theorem
→ (1)
In ΔKOH,
→ (2)
In ΔKHL,
Using eq (1) and (2), we get
⇒ 
⇒ 
Put the above value in eq 2, we get
⇒ KH=6 units.
Given
MINING A mine produces 42.5 tons of coal per hour.
Find out the how much coal will the mine produce in 9.5 hours.
To proof
As given in the question
A mine produces 42.5 tons of coal per hour i.e in the 1 hour mine produces the 42.5 tons .
Let us assume that the coal produce in the 9.5 hours be x.
than the equation becomes
x = 9.5 × 42.5
x = 403 . 75 tons
403 . 75 tons coal will the mine produces in the 9.5 hours.
Hence proved
Answer:
g(f(x)) = (x + 9)^2 or x^2 + 18x + 81
Step-by-step explanation:
(gºf)(x) is the "c .... " of two functions f(x) and g(x): f(x) is the input to g(x).
We start with g(x): g(x) = x^2. We replace the first x with f(x) and the second x with x + 9:
g(f(x)) = (x + 9)^2 or x^2 + 18x + 81
Answer:
The market sold 18 6-ounce cans of soup on Tuesday
Step-by-step explanation:
Let us solve the question
- The number of the 6-ounce cans is x
- The number of 12-ounce cans is y
- 6x + 12y = 420
→ Divide each term by 6 to simplify the equation
- x + 2y = 70 ⇒ (1)
- x + y = 44 ⇒ (2)
→ Subtract equation (2) from equation (1)
- (x - x) + (2y - y) = (70 - 44)
- 0 + y = 26
- y = 26
Substitute the value of y in equation (2) to find the value of x
-x + 26 = 44
→ Subtract 26 from both sides
- x + 26 - 26 = 44 - 26
- x = 18
- x represents the number of the 6-ounce cans
- The market sold 18 6-ounce cans of soup on Tuesday
