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3 years ago

Need help with multiple choice question

Mathematics

1 answer:

katovenus [111]3 years ago

7 0

I believe the answer is D. 18

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What is 3+0.5(4a+8)=9-2a is your solving for (a).

Nady [450]

Answer:

$a = 1/2$

Step-by-step explanation:

Step 1: Distribute

$3 + 0.5(4a + 8) = 9 - 2a$

$3 + (0.5 * 4a) + (0.5 * 8) = 9 - 2a$

$3 + 2a + 4 = 9 - 2a$

Step 2: Combine like terms

$(3 + 4) + 2a = 9 - 2a$

$7 + 2a = 9 - 2a$

Step 3: Subtract 7 from both sides

$7 + 2a - 7 = 9 - 2a - 7$

$2a = 2 - 2a$

Step 4: Add 2a to both sides

$2a + 2a = 2 - 2a + 2a$

$4a = 2$

Step 5: Divide both sides by 4

$4a / 4 = 2 / 4$

$a = 1/2$

Answer: $a = 1/2$

7 0

3 years ago

Read 2 more answers

for a function, can the number of elements in the range be greater than the number of elements in the domain? explain.

PIT_PIT [208]

Neither, because for a function, each range has it own domain

8 0

3 years ago

Read 2 more answers

Will mark brainliest

Vedmedyk [2.9K]

Answer:

adding both equations

4x+9y=5

-4x+7y=11

+ + =+

________

0 +16y=16

y=1

putting the value of y in first eqn

4x+9×1=5

4x=5-9

4x=-4

x=-1

so the x is -1 and y is 1

6 0

3 years ago

Find the limit of the following sequence or determine that the limit does not exist. {5n/Squareroot 81 n^2 + 5} Select the corre

elixir [45]

Answer:

C. The sequence is monotonic and bounded. The limit is 5/9

Step-by-step explanation:

For this case we have the following n term:

$a_n = \frac{5n}{\sqrt{81n^2 +5}}$

And we can find the limit when x tend to infinity:

$\lim_{n\to\infty} \frac{5n}{\sqrt{81n^2 +5}}$

And we got this:

$5 \lim_{n\to\infty} \frac{n}{\sqrt{81n^2 +5}}$

Now we can divide by n the numerator and denominator like this:

$5 \lim_{n\to\infty} \frac{1}{\sqrt{81 +\frac{5}{n^2}}}$

And now we can apply properties of limits and we got this:

$5 \frac{\lim_{n\to\infty} 1}{\lim_{n\to\infty} \sqrt{81 +\frac{5}{n^2}}}$

And we got:

$5 \frac{1}{9}=\frac{5}{9}$

So then our sequence is bounded by $\frac{5}{9}$

By definition a monotonic sequence is a "sequence that is always increasing or decreasing".

For this case if we find:

$a_1 = \frac{5}{\sqrt{86}}$

$a_2 = \frac{10}{\sqrt{329}}$

We see that $a_2 >a_1$ and in general we see that $a_n >a_{n-1}$ . So then the ebst answer for this case is:

C. The sequence is monotonic and bounded. The limit is 5/9

7 0

4 years ago

Five toppings for a pizza are available at Polina's Pizza. How many combinations of two different toppings are possible?

yKpoI14uk [10]

I think the answer is....20 combinations.

8 0

4 years ago