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3 years ago

What function equation is represented by the graph?

Mathematics

2 answers:

jek_recluse [69]3 years ago

4 0

The slope (m) of the line graphed is -4/2, because the line goes down 4 (-4) and over 2 (+2), which is change in y over change in x
m = -4/2 = -2
the y-intercept (b) of the line = -1, because the line crosses the vertical line at x=0 at y=-1
now for the equation:
y = mx + b
y = -2x + -1 = -2x - 1
f(x) = -2x-1
the last answer is correct

Natali5045456 [20]3 years ago

4 0

Answer:

f(x)=−2x−1

Step-by-step explanation:

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What are opposite sides that are parallel

son4ous [18]

Answer: parallel means 2 sides that will never intersect

Step-by-step explanation:

5 0

3 years ago

Rico bought 3 adult tickets and 5 child tickets for a total of $50.

aliina [53]

Step-by-step explanation:

3x + 5y = 50

x + 5y = 31

use substitution

x = 31-5y

3(31-5y) +5y = 50

93 -15y + 5y = 50

93 - 10y = 50

--10y = -43

y = 43/10 = $4.30 for kids

now solve for x

x + 5(4.30) = 31

x + 21.5 = 31

x = $9.5 for adults

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2 years ago

Complete the table for the function y=x+3 x - y 0 - 2 - 4 - 6 -

Rus_ich [418]

For each x value, add 3 to get y values.
0+3=3
2+3=5
4+3=7
6+3=9

Final answers, respectively: 3,5,7,9

7 0

3 years ago

There are 3 3/4 pounds of bricks in a bag. Each brick weighs 5/8 of a pound. How many bricks are in the bag.

Bess [88]

Answer: There are 6 bricks in the bag.

Step-by-step explanation:

Convert from mixed number to decimal number. To do it, divide the numerator of the fraction by the denominator and add the result to the whole number part. Then:

$3\frac{3}{4}\ lb=(3+0.75)\ lb=3.75\ lb$

Convert from fraction to decimal number. To do it you need to divide the numerator by the denominator. Then, you get:

$\frac{5}{8}lb=0.625\ lb$

Let be "x" the number of bricks in the bag.

Based on the information given in the exercise, you can set up the following proportion:

$\frac{1}{0.625}=\frac{x}{3.75}$

Finally, you must solve for "x" in order to find its value. This is:

$(3.75)(\frac{1}{0.625})=x\\\\x=6$

8 0

3 years ago

Look at the graph shown below:

ElenaW [278]

So.. take a peek at the picture... let's get two points from it, hmm say 0,4 notice it touches the y-axis there, and say hmmm -4, 1, almost at the bottom of the line

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 0}}\quad ,&{{ 4}})\quad 
% (c,d)
&({{ -4}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-4}{-4-0}$

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=4\\
x_1=0\\
m=\boxed{?}
\end{cases}\\
\textit{and solve for "y"}
\end{array}\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

once you get the slope and solve for "y", that'd be the equation of the line.

7 0

2 years ago