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Katarina [22]
3 years ago
13

What is the effect on the graph of the function f(x) = x when f(x) is replaced with −f(x) + 5?

Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

Answer:

The function f(x) translated left by 5 units and then it is reflected across the x-axis.

Step-by-step explanation:

The original equation of the graph of the function is f(x) = x ........ (1)

If we replace f(x) by [- f(x) + 5] then the equation becomes - f(x) + 5 = x  

⇒ f(x) = - (x - 5) ..... (2)

So, comparing equations (1) and (2), we can conclude that the graph of the function f(x) translated left by 5 units and then it is reflected across the x-axis. (Answer)

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Is the difference between two negative numbers numbers is always negative.
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Yes. Think of it like this. You borrowed $1 from your friend for a candy bar. You now have -$1 because you owe your friend money. If you ask your friend for another $5 because you found another thing you wanted you have -$6. When you already have a negative, you are subtracting even more from that, which brings you to an even higher negative number
4 0
3 years ago
A certain bamboo plant grows 1.2 feet in one day. At that rate, how many feet could the plant grow in 0.5 day?
Rainbow [258]

Answer:

0.6 feet in half a day

Step-by-step explanation:

If it grows 1.2 feet in 1 full day, then half of that 1.2÷2=0.6

5 0
3 years ago
Find the value of x in the picture below(round to nearest test)
nadezda [96]

Answer:

x = 13

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

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x = \sqrt{169} = 13

8 0
3 years ago
s – 34% Americano, 21% Cappuccino, 14% Espresso, 11% Latte, 10% Macchiato, 10% Other. In a random sample of 450 customers, he fi
Sever21 [200]

Answer:

0.000005178

Step-by-step explanation:

we test for the goodness of fit

h0; drink preferences not changed

h1: drink preferences changed

alpha = 0.05

we solve for the test statistics

the chsquare test was performed in the attachment

Chi square = (O-E)²/E

chisquare = 32.30188

degree of freedom = n -1 = 6-1 = 5

using the chi distribution function on excel i calculated the p value

CHIDIST(32.30188, 5) =

P-value = 0.000005178

pvalue is less than 0.05 so we reject null hypothesis and conclude that there is sufficient evidence that drink preferences are changed.

the chisquare calculation is in the attachment. Thank you!

7 0
3 years ago
10. The boys and girls in Mrs. Hall's class are collecting cans for the food drive. The
s344n2d4d5 [400]

Answer:

hope it helps you

this is my answers

6 0
3 years ago
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