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3 years ago

What is the end behavior of f(x)= -4x^6+6x^2-52

1 answer:

4 0

End behavior is the direction the line points at both end of the graph, the end behavior for your question is : same end behavior because the leading term has the power of 6..... the line both point downwards because the leading term(-4) is negative, if the leading term is positive then the lines would point upward....if the leading term has an odd power like 3 or 5 it would be opposite end behavior

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The difference of 3 times a number and 15 is no less than the square of the number.

jok3333 [9.3K]

Answer:

(B) The inequality that represents this relationship is $3x < x^2 +15$

Step-by-step explanation:

Let us assume the given number = x

⇒ 3 times the given number = 3 (x) = 3x

Square of the given number = $(x)^2 = x^2$

Now, According to the question:

The difference of (3 x) and 15 is no less than $x^2$

⇒ $3x - 15 < x^2\\ \implies 3x < x^2 +15$

or, $3x < x^2 +15$

Hence, the given inequality is represented as $3x < x^2 +15$

8 0

2 years ago

Read 2 more answers

What is the midpoint of a line segment with the endpoints (-4, -3) and (7, -5)

Katyanochek1 [597]

Midpoint Formula: ( $\frac{x+x}{2}$ , $\frac{y+y}{2}$ )
Midpoint = ( $\frac {-4+7}{2}$ , $\frac {-3-5}{2}$ )
Midpoint = ( $\frac {3}{2}$ , $\frac {-8}{2}$ )
Midpoint = ( $\frac {3}{2}$ , -4)
So, the midpoint of the endpoints (-4,-3) and (7,-5) is ( $\frac {3}{2}$ , -4).
Have a nice day! ♪

4 0

2 years ago

Read 2 more answers

What is the recursive rule for an=4n−1? a1=4;an=an−1−1 a1=3;an=an−1+4 a1=−1;an=an−1+4 a1=3;an=an−1−1

navik [9.2K]

Plug in n = 1 into the nth term formula
a(n) = 4n-1
a(1) = 4*1-1
a(1) = 3
So the first term is 3

The second term will be 7 because we add on 4 each time, as indicated by the slope of 4. This is also known as the common difference.

So the nth term is found by adding 4 to the (n-1)st term, in other words,
a(n) = a(n-1)+4

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In summary, the answer is
a1=3; an=an-1+4
which is choice B

4 0

2 years ago

Read 2 more answers

Is x+y is an algebraic expression?

torisob [31]

Yes it is an algebraic expression mark me brainliest

6 0

2 years ago

Suppose that a cyclist began a 364 mi ride across a state at the western edge of the state, at the same time that a car traveli

maw [93]

The car's average rate is 43.7 mph. The bicycle's average rate is 12.3 mph.

To get this solution, let the bicycle's average rate be (x) and the car's average rate be (x + 31.4) mph.

Distance= Speed x Time
364 = (x + x + 31.4) 6.5
364 = (2x + 31.4) 6.5
364/6.5 = 2x + 31.4
56 = 2x + 31.4
56 - 31.4 = 2x
24.6 = 2x
24.6/2 = x
12.3 = x

x = 12.3 mph
x+31.4 = 43.7 mph

6 0

2 years ago