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1 year ago

I need help please. Trying to get my HS diploma. I did not graduate :(

Mathematics

1 answer:

artcher [175]1 year ago

8 0

Answer:

B. I, II, and III

Step-by-step explanation:

A function is continuous if it is defined everywhere and its graph can be drawn without lifting the pencil. That is, at every point, the limit from the left and the limit from the right must equal each other and the function definition at the point.

<h3>Looking at choices</h3>

All polynomial functions with real coefficients are continuous everywhere. (Choices I and II.) They have no discontinuities.

Rational functions will have a discontinuity wherever the denominator is zero. Here, the one rational function has a denominator of x^2+1, which is always positive (never zero). The given rational function is continuous everywhere (Choice III.)

All of the functions in the problem statement are continuous: I, II, and III.

You might be interested in

Help me answer this question about congruent triangles. 50 points available.

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

No these triangles are not congruent.

Left triangle

Shortest side = 6 cm

Longest side = 13 cm

3rd side = unknown but < 13

Right triangle

Shortest side = 6 cm

Longest side = unknown but > 13

3rd side = 13 cm

Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.

We do not know if any of the angles are congruent. If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.

3 0

2 years ago

Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the

Levart [38]

Answer:

Subtracting 7

Step-by-step explanation:

Given:

Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack.

To Find:

What kind of sequence is this?

Solve:

Let's make a table:

[1 stack] 45

[2 stack] 38

[3 stack] 31

[4 stack] 24

Now all we have to do is subtract to see what each is:

45 - 38 = 7

38 - 31 = 7

31 - 24 = 7

Thus,

[1 stack] 45 ⇒ 7

[2 stack] 38 ⇒ 7

[3 stack] 31 ⇒ 7

[4 stack] 24 ⇒ 7

Hence, each stack is going down by 7.

Kavinsky

7 0

1 year ago

Please help ASAP really need this

Aleonysh [2.5K]

Answer:

$21.79 + c \leq 25$

Joshua can spend up to 3.21 on a card.

Step-by-step explanation:

$21.79 + c \leq 25$ is the correct equation because Joshua is spending 21.79 on flowers, a certain amount on the card, and the maximum he can spend is 25. That is why you use the less than or equal to sign.

To solve, first subtract 21.79 from both sides to get: $c \leq 3.21$ . This means that Joshua can spend up to 3.21 on a card.

Hope it helps!

3 0

2 years ago

help me please will give 11 points yet i know thats a little bit but pls help or i will tell my mommmmyyyy

Andrews [41]

You and your 2 nieces bakes 27 cupcakes. This means that there were 27 cupcakes to be distributed evenly between the 3 of you. So divide 27 by 3 to get your answer.

27 ÷ 3 = 9.

This means that each of you would get 9 miniture cupcakes to take home.

8 0

2 years ago

F(x)=x^2+8x-10 find f(a)+5

Papessa [141]

Answer:

We conclude that:

f(a) + 5 = a² + 8a - 5

Step-by-step explanation:

Given

The function is given by

f(x) = x²+8x-10

To determine

f(a)+5

In order to determine f(a)+5, first, we need to determine f(a).

Now substitute x = a in the function f(x) = x²+8x-10

f(a) = (a)² + 8(a) - 10

f(a) = a² + 8a - 10

Thus,

f(a) + 5 = (a² + 8a - 10) + 5

f(a) + 5 = a² + 8a - 5

Therefore, we conclude that:

f(a) + 5 = a² + 8a - 5

4 0

2 years ago