Step-by-step explanation:
Hey there!
While factorising you remember to make it take common in most of the expression.
Here;
=mx+cx+my+cy
Take common 'x' in "mx+cx" and 'y' in my + cy.
= x(m+c) + y(m+c)
Now, "(m+c)" common again.
= (m+c) (x+y)
Therefore the factorized form of the expression in (m+c)(x+y).
<u>Hope it helps</u><u>.</u><u>.</u><u>.</u>
Hi there!
To derive an equation given the points, we can use the slope formula:
Plug in the corresponding coordinates:
Simplify:
Therefore, we have:
y = -4x + b
Plug in the x and y values for a coordinate to solve for b:
2 = -4(1) + b
2 = -4 + b
b = 6
The equation is:
y = -4x + 6. The correct answer is D.
Answer:
Step-by-step explanation:
we know that
The density is equal to the mass divided by the volume
Let
x-----> the mass of marble
y----> the volume of marble
z----> the density of marble
in this problem we have
substitute and solve for x
Answer:
k = +4
Step-by-step explanation:
Answer
Step-by-step explanation:
- The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
- Let x represent the number of cyclists.
- Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:
- Revenue = 60x + 15000
- Also, the cost of the race is $18 per entry, hence:
- Cost = 18x
- They need to raise at least $57,000, hence:
- Profit ≥ 57000
- Revenue - Cost ≥ 57000
- (60x + 15000) - 18x ≥ 57000
- 42x ≥ 42000
- x ≥ 1000
- Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
