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2 years ago

Write an equation in slope-intercept form for the line with y-intercept 3 and slope 2?

Mathematics

1 answer:

Murrr4er [49]2 years ago

7 0

Answer:

$y=2x+3$

Step-by-step explanation:

<u>Slope-intercept form of a linear equation</u>

$y=mx+b$

where:

m = slope
b = y-intercept

Given:

slope (m) = 2
y-intercept (b) = 3

Substituting the given values into the formula:

$\implies y=2x+3$

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Rationalize the denominator of the fraction and enter the new denominator below.<br><br> 8/2-√12

Andrei [34K]

8/(2-√ 12) Both sides multiplied by (2+√ 12)

16+8√ 12/4-12

-(16+8√ 12)/8

The new denominator is 8 and the fraction has a negative sign

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3 years ago

a chef made two batches of soup. While making the first batch, he added 1/8 teaspoon of salt, tasted it, and then added another

barxatty [35]

Answer:

20 teaspoons

Per batch amounts:

Salt = 15/3 = 5 teaspoons

garlic powder = 6/3 = 2 teaspoons

8 teaspoons of garlic powder number of batches:

8/2 = 4 batches

4 batches of salt

4 * 5 = 20 teaspoons

Step-by-step explanation:

Hope this helps:) Also hi lofi girl nice to meet you lol

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3 years ago

Given the figure below, find the values of x and z.

Maslowich

$(13x-85)^o=97^o\\\\13x-85=97\ \ \ |+85\\\\13x=182\ \ \ |:13\\\\x=14$

$z^o+97^o=180^o\ \ \ |-97^o\\\\z^o=83^o$

Answer: x = 14; z = 83

3 0

4 years ago

An investment of $450 increases at a rate of 6.5% per year. what is the growth factor, b?

Lera25 [3.4K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$450\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years \end{cases}$

$\bf A=450\left(1+\frac{0.065}{1}\right)^{1\cdot t}\implies \underset{\textit{growth factor}}{A=450(\underset{\uparrow }{1.065})^t}$

8 0

4 years ago

On a road trip Maura drove at a speed of 60 miles per hour for the first two hours she then increased her speed by 25%

Sonbull [250]

Answer:

$v_{new} = v_{old} \cdot 1,25 = 75 mph$

Step-by-step explanation:

It does not matter for how long she was driving with the old speed if you only wanna know the new speed.

4 0

3 years ago