All categories

3 years ago

Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y=2/3x - 2

Mathematics

1 answer:

timurjin [86]3 years ago

6 0

Answer: The image shown in your question as well as the one I provided is the correct answer

Step-by-step explanation:

a line with a slope of 2/3 must mean that the "m" is 2/3

y = mx + b

y = 2/3x + b

The question calls for the y-intercept to be equal to that of y=2/3x - 2

using the given equation, we easily figure out -2 is the y-intercept

so the line must go through (0,-2).

You might be interested in

. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus inte

Mashcka [7]

well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160$

well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240$

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

$\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}$

4 0

2 years ago

Amanda invests 5000 in a cd at an annual rate of 2%. What will her investment be worth at the end of three years?

Nookie1986 [14]

The equations would be 5000(1+0.02)^3 and the answer is $5306.04

3 0

3 years ago

Read 2 more answers

(2x/3)-(5x/9)-(x/6)-(5x/12)=13/2 this equation is equivalent to:

agasfer [191]

Answer:

-17x=234

Step-by-step explanation:

Given that:

$\dfrac{2x}{3}-\dfrac{5x}{9}-\dfrac{x}{6}-\dfrac{5x}{12}=\dfrac{13}{2}$

$\dfrac{72x-60x -18x-45x }{108} = \dfrac{13}{2}$

$\dfrac{-51x }{108} = \dfrac{13}{2}$

$-102x = 1404$

$-\dfrac{102x}{6} = \dfrac{1404}{6}$

-17x = 234

6 0

3 years ago

FI have no points left please answer, FLIP THE IMAGE OVER PLS

Nezavi [6.7K]

Answer:

Step-by-step explanation:

b. 1000 messages: 30 dollars

1,725 messages: 51.75

c. 2,000

2,500

600

b. 37.5

I cant do the rest because they have graph stuff :)

8 0

3 years ago

The number z and -1.9 are additive inverse’s. Drag and drop -1.9 and z to their correct positions on number line . Drag and drop

juin [17]

Additive inverses add to zero. the additive inverse of any number is just that number multiplied by -1. the additive inverse -1.9 is+1.9 because when you add them the result is zero

5 0

4 years ago