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3 years ago

What is the slope of the line through point (2/3, 4/7) and (2/3, 11/7)

1 answer:

6 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ \frac{2}{3} &,& \frac{4}{7}~) 
% (c,d)
&&(~ \frac{2}{3} &,& \frac{11}{7}~)
\end{array}
\\\\\\
% slope = m
slope \implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{\frac{11}{7}-\frac{4}{7}}{\frac{2}{3}-\frac{2}{3}}\implies \cfrac{\frac{7}{7}}{0}\implies \cfrac{1}{0}\impliedby un de fined$

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Aneli [31]

let the goldfish be x and the guppies be y

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3x + 5y = 30...equ(2)

multiplying equation 1 by 5 and equation 2 by 3

20x + 15y = 145...equ(1)

9x + 15y = 90...equ(2)

subtracting equation 2 from 1

11x = 55

∴x = 5

substituting the value of x into equation

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4 years ago

A bank charges $25/month plus $0.25/transaction for use of an ATM card. What is true about the function for this problem?

Elan Coil [88]

Option A, C, D

The equation is y = 25 + 0.25x

The slope is 0.25 and y intercept is 25

Solution:

Given that, bank charges $25/month plus $0.25/transaction for use of an ATM card

Therefore,

Initial charge = $ 25

Let "x" be the number of transactions

Given that the charge is $ 0.25 per transaction

Thus, we frame a equation as:

total charge = Initial charge + 0.25(number of transactions)

Let "y" be the total charge for month

y = 25 + 0.25x

The equation is y = 25 + 0.25x

Thus option C is correct

The equation of line in slope intercept form is given as:

y = mx + c

Where, "m" is the slope of line and "c" is the y intercept

On comapring y = 25 + 0.25x with y = mx + c, we get

m = 0.25 and c = 25

Thus slope is 0.25 and y intercept is 25

Thus option A and option D are correct

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3 years ago

SOMEONE PLEASE HELP ME QUESTION 5 2 PARTS IN THE PICTURE!!!!!

Phantasy [73]

Answer:

x ≥ 6; see below for a graph

Step-by-step explanation:

First inequality

7x -6 > 8

7x > 14 . . . . . . add 6

x > 2 . . . . . . . .divide by 7

Second inequality

3x+4 ≥ 22

3x ≥ 18 . . . . . . subtract 4

x ≥ 6 . . . . . . . . divide by 3

The values of x that will satisfy both inequalities are x ≥ 6. (All of those values are > 2.)

The solution to the inequalities is x ≥ 6.

Your graph will have a solid dot at x=6, indicating 6 is part of the solution set. It will be shaded to the right, with an arrow at the right end.

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3 years ago

Isaac made 1 quart and 2 ounces of vegetable dip and poured 3 cups and 3 ounces of it into a bowl. How much dip remains?

defon

If you would like to know how much dip remains, you can calculate this using the following steps:

1 quart = 32 ounces
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1 cup = 8 ounces3 cups = 3 * 8 ounces = 24 ounces
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The correct result would be 7 ounces.

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3 years ago

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MArishka [77]

Answer:

When a problem has infinite solutions, you'll end up with a statement that's true no matter what. For example: 3=3 This is true because we know 3 equals 3, and there's no variable in sight. Therefore we can conclude that the problem has infinite solutions. You can solve this as you would any other question.

Step-by-step explanation:

Hope this helped.

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3 years ago