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Novay_Z [31]
3 years ago
7

find the x-intercepts and the coordinates of the vertex for the parabola Y equals negative X squared plus 8X -12. If there’s mor

e than one X intercept, separate them commas.
Mathematics
1 answer:
Oksanka [162]3 years ago
3 0

Answer:

x = 2, and 6

x = 2 , 6

Step-by-step explanation:

The quadratic function to analyze is: y = -x^2+8x-12

In order to find where the corresponding parabola intercepts the x axis, we set it equal to zero (y = 0):

y = -x^2+8x-12\\0 = -x^2+8x-12\\x^2-8x+12=0

This equation is easy to solve by factoring. We look for a air of integer numbers whose product equals the constant term "12", and whose combinig renders the coefficient of the middle term of the trinomial "-8".

The two such numbers are "-2" and "-6". We use them to split the middle term, and then solve by factoring by grouping:

x^2-8x+12=0\\x^2-2x-6x+12=0\\(x^2-2x)+(-6x+12)=0\\x(x-2)-6(x-2)=0\\(x-2)(x-6)=0

For the product of two factors to render zero, we need either one to be a zero.This means that (x-2)=0 (that is x = 2), or (x-6)=0 (that is x = 6).

So, there are two x-intercepts: x= 2, and 6

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5 0
2 years ago
All natural numbers are real numbers
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6 0
3 years ago
48 is what percent of 40?
vlada-n [284]

Answer:

120%

Step-by-step explanation:

The ratio you are solving is 48/40

Divide the numerator by the denominator just like you would do with any other fraction.

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5 0
3 years ago
Read 2 more answers
Find Mean, Median, mode and range. Round to the nearest tenth.
Zigmanuir [339]

Answer:

Mean =26.2

Median=27

Mode=32

Range=38

Step-by-step explanation:

From the stem and leaf plot, we obtain the original data as:

9,11,12,12,14,17,25,25,27,32,32,32,33,35,41,42,47

The median is middle observation of the array.

Thebefore the median is 27

The mode is the number that occurs most.

The mode is 32.

The range is the highest observation minus the least observation.

The range is 47-9=38

The mean is given by:

\bar x =  \frac{9 + 11 + 12 + 12 + 14 + 17 + 25 + 25 + 27 + 32 + 32 + 32 + 33 + 35 + 41 + 42 + 47}{17}

\bar x =  \frac{446}{17}  = 26.24

7 0
3 years ago
24 = y + 19<br><br> y = ? ..
lyudmila [28]
24=y+19
-19=y
————
5=y
Y=5
5 0
3 years ago
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