Answer:
-3x+6
Step-by-step explanation:
-3x-6(-1)
First, multiplying two negatives equals a positive: (-)×(-)=(+). Then,
multiply the numbers -3×+6×1 = -3x+6. Then, you got the answer and the answer is -3x+6
Answer:
<h2>25 1/6 square yards</h2>
Step-by-step explanation:
I am assuming you mean the area of the shaded figure.
So, let's do it this way.
Let's subtract the total area from the unshaded area:
7 1/4 x 6 = 43 1/2
Area of non-shaded = 18 1/3
Area of shaded = 43 1/2 - 18 1/3 = 25 1/6
<em>Hope that helps! :)</em>
<em></em>
<em>-Aphrodite</em>
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get


The required equation of the quadratic function is
where, a is a constant.
Putting a=1, we get

![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
Therefore, the required quadratic function is
.
<em>Answer</em>
B) y = 3
<em>Step-by-step explanation</em>
Given the system of equations:

Isolating x from equation 1:

Substituting equation 3 into equation 2 and solving for y:

Answer:
<em>See the Venn diagram attached</em>
<u>Numbers given:</u>
- <em>Total</em>: 100
- Either a cat of a fish: 70
- Cat: 46
- Cat and fish: 16
<u>Neither a cat or a fish:</u> 100 - 70 = 30
<u>Fish:</u> 70 - (46 + 16) = 70 - 62 = 8
<u>Required probabilities are:</u>
- a) P(neither) = 30/100 = 0.3
- b) P(f) = (16 + 8)/100 = 0.24
- c) P(f not c) = 8/100 = 0.08