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1 year ago

Mrs.Dawson spent 28 dollars for 8 notebooks

Mathematics

1 answer:

Ksju [112]1 year ago

7 0

Answer:

I need more info but if your wondering how much each notebook cost the answer is

Step-by-step explanation:

So first we have to divide 28/8 beacuse thats how many over how much.
When we do it it becomes 3.5. Now this is our number but we must add a zero to the end, so now it $3.50. $3.50 for each notebook!

Hope this helps you, :3

Please consiter <3 me it helps me out a lot!

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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

$(x-2) (x + 1)$

We do the same with the numerator

$x^2+4x+3$

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

$(x+3)(x + 1)$

Therefore

$f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}$

Note that $\frac{(x+1)}{(x+1)}=1$ only if $x \neq -1$

So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

3 0

3 years ago

find three consecutive even integers so that the twice the sum of the second and third is twelve less than six times the first

zysi [14]

n, n + 2, n + 4 - three consecutive even integers

the twice the sum of the second and third: 2[(n + 2) + (n + 4)]

twelve less than six times the first: 6n - 12

The equation:

2[(n + 2) + (n + 4)] = 6n - 12

2(n + 2 + n + 4) = 6n - 12

2(2n + 6) = 6n - 12 <em>use distributive property</em>

(2)(2n) + (2)(6) = 6n - 12

4n + 12 = 6n - 12 <em>subtract 12 from both sides</em>

4n = 6n - 24 <em>subtract 6n from both sides</em>

-2n = -24 <em>divide both sides by (-2)</em>

n = 12

n + 2 = 12 + 2 = 14

n + 4 = 12 + 4 = 16

<h3>Answer: 12, 14, 16</h3>

4 0

3 years ago

SHOW YOUR WORK and ill give brainlest :)

Rashid [163]

The price of the Xbox One after tax is $265

<h3><u>Solution:</u></h3>

The price of a Xbox one is $250

The tax on Xbox one is 6%

Now, the tax of 6% on 250 is calculated as follows:-

$=\frac{6}{100} \times 250\\\\=\frac{250 \times 6}{100}=\frac{1500}{100}=15$

So, the tax on Xbox one is $15

The total price of box including tax can be calculated by adding price of box and tax on box

<em>Total price of Xbox after tax = actual price of the Xbox One + Tax on the Xbox One </em>

= $250 + $15

= $265

Hence, the price of the Xbox One after tax is $265

3 0

2 years ago

57/61 in simplest form

sattari [20]

57/61 is in simplest form

7 0

3 years ago

Which number below best represents a positive charge of 1,861?

scoray [572]

The second one is the only positive besides 4th but the second and first are the only 1861 so ide have to say the second one

5 0

3 years ago