Step-by-step explanation:
step 1: how many dolphins
there are 6 sharks
sharks to dolphins is 3 to 5
3 S to 5 D
we can divide 6 (amount of sharks known) by 3, to get what a ratio of 1 is
6 ÷ 3 = 2
so 2 sharks is = 1 part or ratio
now we can times by 5 to get a ratio of 5
5 × 2 = 10
there are 10 Dolphins
Step 2: How many starfish
repeat the steps above but for the ratio 2: 7 where 2 is the Dolfin ratio and there are 10 dolphins
put in questions answer you got
Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.
17
linear has 1 as highest exponent
D has x^2
D is not linear
18. find slope
(y2-y1)/(x2-x1)=(-1-2)/(0-4)=-3/-4=3/4
y=3/4x+b
B is answer
Answer: 55 feet of rope
Step-by-step explanation:
The absolute value of -30 is the distance 30 is away from 0, so |-30| = 30. And |25| = 25.
|-30| + |25| = 30 + 25 = 55
Answer:
x = 0, x = 3
Step-by-step explanation:
Given
- 4x² = - 12x ( add 12x to both sides )
- 4x² + 12x = 0 ← factor out - 4x from each term
- 4x(x - 3) = 0
Equate each factor to zero and solve for x
- 4x = 0 ⇒ x = 0
x - 3 = 0 ⇒ x = 3
