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frutty [35]
3 years ago
10

HELP ME PLEASE! So I’m working on this practice page before I start my quiz but I don’t understand these two problems, I was hop

ing someone would help me.

Mathematics
2 answers:
sesenic [268]3 years ago
4 0

Answer: 3 . y = -1/3 + 4/3   4. y= 1/2x -6

Step-by-step explanation:

3.   In the first graph  they have the coordinates,  (-2,2)  and (4,0). We have to solve for the slope and the y-intercept in other to write and equation.

To find the slope we have to find the change in the y values  and divide it by the difference in the x values.

2-0 = 2

-2 -4 = -6

2/-6 =  -1/3  Now we know that the slope is -1/3  so we need to  find the y-intercept.

2= -1/3(-2) +b   where be is the y intercept.

2= 2/3 + b

-2/3  -2/3

b= 4/3  

Now we could write the equation as  y= -1/3 + 4/3  

4. The same with number 4.  

We will find the slope and the y intercept by using some points on the number line.

(0,-6)  This already have the y-intercept graphed so we will need to just find the slope.

(0,-6)

(4,-4)  

-6 - (-4) = -2

0 - 4 =  -4

-2/-4 = 1/2

Equation: y = 1/2x  -6

dmitriy555 [2]3 years ago
3 0

Answer: y = 1/2x - 6

Step-by-step explanation:

#4 We are going to use slope intercept form, (y = mx+b)

1. The line crossing the y-intercept at (0,-6)

2. The slope is 1/2 (increasing by 1 then over 2 --> RISE OVER RUN)

3. Make the equation: y= 1/2x - 6

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timofeeve [1]

Answer:

I'm so sorry but I don't know this problem. I'm still in middle school so I haven't  learned this yet. I wish I could help. ):

4 0
3 years ago
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10. How much water can Th swimming pool hold 9 yd. 8 yd.
elena-14-01-66 [18.8K]
The area of the pool is equal to its length multiplied by its width. And if you have memorized your times tables you will know that 9 times 8 equals 72. So therefore the amount of water that the swimming pool can hold would be 72 yards squared.
3 0
3 years ago
Jessica used 2/3 yard of fabric to make a scarf. Can she make 2 of these scarves with 1 3/4 yards of fabric, and why?
Alex Ar [27]

Option 1

Jessica can make 2 scarves

yes, because the quotient of 1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}

<u>Solution:</u>

Given, Jessica used \frac{2}{3} yard of fabric to make a scarf.

We have to find can she make 2 of these scarves with 1\frac{3}{4} yards of fabric, and why?

Now, let us find number of scarves that can be made from available scarf

\text { Number of scarves }=\frac{\text { avaiable scarf }}{\text { fabric required for } 1 \text { scarf }}

\begin{array}{l}{=\frac{1 \frac{3}{4}}{\frac{2}{3}}=1 \frac{3}{4} \times \frac{3}{2}} \\\\ {=\frac{4 \times 1+3}{4} \times \frac{3}{2}} \\\\ {=\frac{16+5}{8}=2 \frac{5}{8}}\end{array}

We know that,

2 \frac{5}{8}>2 so we can make 2 scarves.

Hence, yes, we can make 2 scarves because quotient of 1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}

So 1st option is correct

3 0
3 years ago
I need the answer. !’
EleoNora [17]

Answer:

B) -9

Step-by-step explanation:

31+2= 33 --> -33 + 49= --> 16

-5x-5= 25

16 -25 = -9

3 0
3 years ago
Evaluate the following integral (Calculus 2) Please provide step by step explanation!
Step2247 [10]

Answer:

\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=-\dfrac{2}{x+1}+\text{C}

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.

<u>Given integral</u>:

\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x

Factor the denominator:

\begin{aligned}\implies x^2+2x+1 & = x^2+x+x+1\\& = x(x+1)+1(x+1)\\& =  (x+1)(x+1)\\& =  (x+1)^2\end{aligned}

\implies \displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=\int \dfrac{2}{(x+1)^2}\:\:\text{d}x

\textsf{Apply exponent rule} \quad \dfrac{1}{a^n}=a^{-n}

\implies \displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=\int 2(x+1)^{-2}\:\:\text{d}x

\boxed{\begin{minipage}{4 cm}\underline{Integrating $ax^n$}\\\\$\displaystyle \int ax^n\:\text{d}x=\dfrac{ax^{n+1}}{n+1}+\text{C}$\end{minipage}}

Use <u>Integration by Substitution</u>:

\textsf{Let }u=(x+1) \implies \dfrac{\text{d}u}{\text{d}x}=1 \implies \text{d}x=\text{d}u}

Therefore:

\begin{aligned}\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x & = \int 2(x+1)^{-2}\:\:\text{d}x\\\\& = \int 2u^{-2}\:\:\text{d}u\\\\& = \dfrac{2}{-1}u^{-2+1}+\text{C}\\\\& = -2u^{-1}+\text{C}\\\\& = -\dfrac{2}{u}+\text{C}\\\\& = -\dfrac{2}{x+1}+\text{C}\end{aligned}

Learn more about integration here:

brainly.com/question/27988986

brainly.com/question/27805589

5 0
2 years ago
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