Answer:
10.74s or faster (lower)
Step-by-step explanation:
The lowest time out of all of them is 10.75, so to all the 5th swimmer needs to do to win is to undercut the swimmer who got 10.75s by a 100th of a second. i.e 10.74s or faster (lower) would win.
y = x^2 - 2x - 3
Factored Form: y = (x - 3)(x + 1)
X-Intercepts: (3, 0) and (-1, 0)
Axis of Symmetry: x = 1
Vertex: (1, -4)
Domain: All Real Numbers (or negative infinity to infinity)
Range: y > -4
Hope this helps!
(Pls give brainliest! :D)
Answer:
<em>B</em>
Step-by-step explanation:
<em>You know that the graph intercepts at the point of (4,-2)</em>
<em />
<em>Where x = 4 and y = -2.</em>
<em />
<em>This means that whenever you plug a value of x in the equation it should give the value of y.</em>
<em />
<em>For example when you plug x= 4 into the equation (B), it should look like this.</em>
<em />
<em>4- y = 6, solving for y gives us the value negative 2.</em>
<em />
<em>This means that it does give us this point, however, as the graph shows us, both lines meet at the point which means that both equation should give us this point.</em>
<em />
<em>If we substitute x = 4 in the second equation of b, we should be able to get 3(4) + 4y = 4. Solving for y gives us -2.</em>
<em />
Hope this helps!
-<em>Yumi</em>
Answer:
No, they are not.
Step-by-step explanation:
A ratio can be written as a fraction. So 3:5 is the same as 3/5 and 2:4 is the same as 2/4.
3/5 = 2/4
0.6 = 0.5 INCORRECT
As you can see, the both don't equal the same numbers, so they aren't equivalent.
Answer:
61 , 63 , 65 , 67
Step-by-step explanation:
Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:
(x) + (x + 2) + (x + 4) (x + 6) = 256
First, simplify. Combine all like terms:
x + x + x + x + 2 + 4 + 6 = 256
4x + 12 = 256
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides of the equation:
4x + 12 (-12) = 256 (-12)
4x = 256 - 12
4x = 144
Next, divide 4 from both sides of the equation:
(4x)/4 = (144)/4
x = 144/4
x = 61
61 is your first number. Find the next 3 consecutive numbers:
x = 61
x + 2 = 63
x + 4 = 65
x + 6 = 67
Check:
61 + 63 + 65 + 67 = 256
256 = 256
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