Need help on 3 5 6 dealing with rectangle square and rob bus geometry

Julio and his sister bought 8 books and m magazines for $1 each, and then they split the cost. The amount of money that Julio sp

Ivahew [28]

Answer: No. both are independent quantity. Therefore, the number of books purchased does not affect the value of m.

Step-by-step explanation:

Given: Julio and his sister bought 8 books and m magazines for $1 each.

The amount of money that Julio spent is represented by the expression 1/2(m+8)

Thus, the amount she and her sister will pay is dependent on the number of books and the number of magazines, but the number of magazines and the number books are independent quantity.

Therefore, the number of books purchased does not affect the value of m.

3 0

4 years ago

The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00

xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

$2.50x + 0.75y \leq22$

Now, if there are three people in the group we have that $x = 3.$

$2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33$

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

$2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8$

Thus, they could travel a maximum of 5 people.

ANswer:

$2.50x + 0.75y \leq22$

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

7 0

3 years ago

Let f(x)= 2x-3/9 and g(x)=9x+3/2<br><br> Find (f o g)(x)<br> Find (f o g)(x)

svlad2 [7]

These seem tough, but they are not that bad.
(f o g)(x)

That means to take function g when x = x (It just means that you don't need to do anything with the function) and substitute it into function f wherever there is a x value. (So basically g becomes what x equals)
Here is a visual representation of it.

(f o g)(x) = 2(9x + (3/2)) - (3/9)

We need to distribute the 2 to everything inside the parenthesis.

(f o g)(x) = 18x + (6/2) - (3/9)

Let's simplify the fraction on the right and left, then find a common denominator so we can add / subtract the two fractions.

(f o g)(x) = 18x + (3) - (1/3)
(f o g)(x) = 18x + (9/3) - (1/3)

Combine like terms.

(f o g)(x) = 18x + (8/3)

Our final answer is:
(f o g)(x) = 18x + 8/3

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=y%2B%20%20%5Cfrac%7B13%7D%7B4%7D%20%20%3D%20%28x%5E2-%20%5Cfrac%7B1%7D%7B2%7D%20%29%5E2" id="T

zhenek [66]

Answer: $\bold{y=\dfrac{1\pm \sqrt{4x+13}}{2}}$

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's and solve for y:

$y+\dfrac{13}{4}=\bigg(x-\dfrac{1}{2}\bigg)^2\\\\\\x+\dfrac{13}{4}=\bigg(y-\dfrac{1}{2}\bigg)^2\rightarrow \text{(swapped the x's and y's)}\\\\\\\sqrt{x+\dfrac{13}{4}}=\sqrt{\bigg(y-\dfrac{1}{2}\bigg)^2}\rightarrow \text{(took square root of both sides)}\\\\\\\sqrt{\dfrac{4x+13}{4}}=\pm \bigg(y-\dfrac{1}{2}\bigg)}\rightarrow \text{(created common denominator in radical)}\\\\\\ \dfrac{\sqrt{4x+13}}{2}=\pm \bigg(y-\dfrac{1}{2}\bigg)}\rightarrow \text{(simplified radical)}$

$\pm \dfrac{\sqrt{4x+13}}{2}=y-\dfrac{1}{2}}\rightarrow \text{(divided both sides by}\ \pm )\\\\\\\dfrac{1}{2}\pm \dfrac{\sqrt{4x+13}}{2}=y\quad \rightarrow \text{(added}\ \dfrac{1}{2}\ \text{to both sides)}\\\\\\\dfrac{1\pm \sqrt{4x+13}}{2}=y\quad \rightarrow \text{(combined numerators)}$

4 0

3 years ago

Sari is factoring the polynomial 2x2 5x 3. if one factor is (x 1), what is the other factor? 2x−3 2x 3 3x−2 3x 2

asambeis [7]

The other factor of the polynomial which Sari is factoring and found that the one factor of this equation is (x+1) is (2x+3).

<h3>What is a factor of polynomial?</h3>

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The polynomial which Sari is factoring is,

$2x^2 +5x+ 3$

One factor of this equation is

$(x +1)$

Factor the given polynomial using the split the middle term method,

$2x^2 +5x+ 3\\2x^2 +2x+3x+ 3\\2x(x+1)+3(x+1)\\(x+1)(2x+3)$

Thus, the other factor of the polynomial which Sari is factoring and found that the one factor of this equation is (x+1) is (2x+3).

Learn more about factor of polynomial here;

brainly.com/question/24380382

8 0

2 years ago