Question:
Give all the x and y intercept of the function
Answer:
The x intercepts are x = 5 and x = -4
The y intercept is at y = -2
Step-by-step explanation:
Factorizing the numerator of the expression we find the x intercepts as follows;
Therefore, the x intercept are
x = 5 and x = -4
To find the y intercept, we put x = 0 to get y = -2
Therefore, the y intercept is at y = -2
Factorizing the denominator we find the values for which the equation is undefined
2·x³ + 2·x² - 34·x + 30 = 2·(x-1)·(x-3)·(x+5) which gives
x = 1, 3 and -5.
We have that
y = −14x² − 2x − 2
First, we need to transform the equation into its vertex form
(x - h)²=4p(y - k)
<span>Group
terms that contain the same variable
</span>y = (−14x² − 2x )− 2
<span>Factor the
leading coefficient
</span>y = -14*(x² + (2/14)x )− 2
<span>Complete
the square Remember to balance the equation
</span>y = -14*(x² + (2/14)x +(2/28)²-(2/28)²)− 2
y = -14*(x² + (2/14)x +(2/28)²)− 2+14*(2/28)²
y = -14*(x² + (2/14)x +(2/28)²)− 2+56/784
Rewrite as perfect squares
y = -14*(x+(2/28))²− 1512/784------>(x+1/14)²=(-1/14)*(y+1512/784)
4p=-1/14------> p=-1/56
This is a vertical parabola and its focus <span>(h, k + p)</span>
<span>h=-1/14</span>
<span>k+p=(-1512/784)+(-1/56)----> (-1512-14)/784)----> -1526/784</span>
<span>
</span>
<span>the focus is</span>
<span>(-1/14,-1526/784)</span>
Answer:
8(m+3)
or 8m+24
Step-by-step explanation:
If one side x has a length of 2(m+3), then using the formula for the perimeter of a square P=4x
You get:
8(m+3)
or 8m+24
Answer:
There are 272 students going on the field trip.
Step-by-step explanation:
68 students on each bus. 4 busses. 68 x 4 = 272
We have to make ALL the units equal.
So, we could calculate 14" by 18" by 7" = 1,764 cubic inches
ORwe could calculate
<span>
<span>
<span>
1.1666666666 by 1.5 by </span></span></span>
<span>
<span>
<span>
0.5833333333 = </span></span></span>
<span>
<span>
<span>
1.0208333333</span></span></span>cubic feetthere are 1,728 cubic inches i a cubic foot so this equals<span>
<span>
<span>
1.0208333333 * 1,728 = 1,764 cubic inches
</span></span></span>
So, both answers are correct.
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