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ladessa [460]
3 years ago
8

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in

the graph of g(x) = -x2 -6. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Mathematics
1 answer:
TEA [102]3 years ago
6 0
F(x) has only one x-intercept when x=0

g(x)=-x^2-6

g(x)=-(x^2+6) so g(x) will have no x-intercepts as its maximum value will be -6.

g(x) is f(x) reflected about the x axis and shifted downwards by 6 units.
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Louis wants to carpet the rectangular floor of his basement. The basement has an area of 500 square feet. The width of the basem
Mazyrski [523]

Answer:

The correct answer is the length is 10 feet and width is 2 feet respectively.

Step-by-step explanation:

Let length of the rectangular floor of Louis' basement be l feet and width be \frac{l}{5} feet respectively.

Area of the basement floor is given to be 500 square feet.

Therefore according to the given problem,

l × \frac{l}{5}  = 500

⇒ l^{2} = 100

⇒ l = 10 ; [length cannot be negative]

⇒ b = 2

Thus the length and width be 10 feet and 2 feet respectively.

4 0
3 years ago
What element in the domain has image 7 in the function f(x) = x²– 2?<br><br>a. 3 b) 9 c) -1 d) 4
blagie [28]

Here,

f(x) = 7

x = ?

Now,

f(x) = x^2 - 2

or, 7 = x^2 - 2

or, 7 + 2 = x^2

or, x^2 = 9

◆ x = 3

a) 3

I hope it's help you...

Thanks♥♥

6 0
3 years ago
Read 2 more answers
Size of u.s. states the total surface area (in square miles) for each of six selected eastern states is listed here. 28,995 pa 3
KonstantinChe [14]
<span>Standard deviation of first data set = 5879.1 Standard deviation of second data set = 14768.78 The second data set is more variable. The basic definition of standard deviation is the square root of the mean of the squares of the difference from the mean. It's a bit of a mouthful, but easy enough to do. For the first data set, first calculate the mean. (28995 + 37534 + 31361 + 27087 + 20966 + 37741) / 6 = 30614 Now calculate the square of the differences from the mean (28995 - 30614)^2 = 2621161 (37534 - 30614)^2 = 47886400 (31361 - 30614)^2 = 558009 (27087 - 30614)^2 = 12439729 (20966 - 30614)^2 = 93083904 (37741 - 30614)^2 = 50794129 And now the average of the squares (2621161 + 47886400 + 558009 + 12439729 + 93083904 +50794129) / 6 = 34563888.67 And finally, take the square root to get the standard deviation. sqrt(34563888.67) = 5879.1 Now for the second data set of western states. First, the mean (72964 + 70763 + 101510 + 62161 + 66625 + 54339) / 6 = 71393.67 Now the squares of the differences (72964 - 71393.67)^2 = 2465946.778 (70763 - 71393.67)^2 = 397740.4444 (101510 - 71393.67)^2 = 906993533.4 (62161 - 71393.67)^2 = 85242133.78 (66625 - 71393.67)^2 = 22740181.78 (54339 - 71393.67)^2 = 290861655.1 And the average of the squares is 218116865.2 Finally, the square root of the average is 14768.78 So the standard deviation of the 2nd data set is 14768.78 And since the standard deviation of the 2nd data set is larger than the standard deviation of the 1st data set, that means that the 2nd data set is more variable.</span>
7 0
3 years ago
What is the simplest form of the radical expression?
BaLLatris [955]
I believe the equation is
4 \sqrt[4]{2x} + 6  \sqrt[4]{2x}
In this case, you would simplify it by adding them together.
4 \sqrt[4]{2x} + 6  \sqrt[4]{2x} = 10  \sqrt[4]{2x}
And can even be changed to an exponential equation:
10(2x)^{ \frac{1}{4} }
7 0
3 years ago
You toss 3 coins. What is the probability that you get exactly 3 heads, given that you get at least one tail? A tree diagram wil
Leviafan [203]
Out of 3 coins, if you are given that 1 is on tails, then the most heads you could have is 3 coins - 1 tails = 2 heads.

The probability of getting 3 heads would be 0.
7 0
3 years ago
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