Answer:
The set of natural numbers is the set of all positive integers, then this set is:
{1, 2, 3, ...}
and the 24th letter of the alphabet is x
Now we want to write the expression given in the sentence "It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"
We can "break" this in parts, so it is easier to understand.
Then:
"...the sum of the first 3 natural numbers..."
is:
1 + 2 + 3
Then:
"...the sum of the first 3 natural numbers, followed by the 24th letter of the alphabet"
This can be written as:
(1 + 2 + 3) + x
Now we can analyze the complete sentence:
"It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"
This is equal to the expression we found above plus one, then we can write this as:
[(1 + 2 + 3) + x] + 1
[6 + x] + 1
6 + x + 1
7 + x
Let's call the first unknown integer x and the second one y.
"Four times an unknown integer"
"Multiplied by three times the unknown integer plus a different unknown integer"
- 4x is multiplied by 3x+y, so 4x(3x+y)=12x²+4xy
"Equals 100."
And so the answer is C: 12x²+4xy-100=0
Answer:
Q+D = 65, multiply both sides by 2525Q + 25D = 162525Q + 10D = 950 subtract to get 15D = 675 D = 675/15 = 135/3 = 45 dimes Q = 65-45 = 20 quarters25(20) + 10(45) = 500+450 = 950
Answer:
y= -3/5x - 7 (assuming slope-intercept form)
Step-by-step explanation:
First, we see the slope. The basic template for a slope-intercept question is
y=mx + b
So, we put in -3/5 as "m" in this case, as it is the slope to get y= -3/5x +b
To find b, we can just try out the point that the equation gave us.
-3/5 * -5 = 3
Then, to get to -4 from 3, we need to subtract 7.
Then, we get our whole slope-intercept equation. y=-3/5x - 7
Answer:
no
Step-by-step explanation:
