A salesperson starts with a full tank of gas, drives her car 363 miles and then refuels. it takes 11 gallons of gas to fill the
1 answer:
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<u><em>Answer:</em></u>
both numbers are negative
negative number is greater than the positive number
<u><em>Explanation:</em></u>
<u>In order to add two rational numbers and get a negative value, one of two scenarios should occur:</u>
<u>1- both numbers are negative.</u>
In this case, the answer would definitely be negative as the two numbers are originally negative
<u>Examples:</u>
-9 + -2 = -9 - 2 = -11
<u>2- negative number is greater than the positive number</u>
In this case, the negative sign would dominate and the result would be negative
<u>Examples:</u>
-9 + 3 = -6
Hope this helps :)
both numbers are negative
negative number is greater than the positive number
<u><em>Explanation:</em></u>
<u>In order to add two rational numbers and get a negative value, one of two scenarios should occur:</u>
<u>1- both numbers are negative.</u>
In this case, the answer would definitely be negative as the two numbers are originally negative
<u>Examples:</u>
-9 + -2 = -9 - 2 = -11
<u>2- negative number is greater than the positive number</u>
In this case, the negative sign would dominate and the result would be negative
<u>Examples:</u>
-9 + 3 = -6
Hope this helps :)
Answer:
The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.
But let's be more complete:
Let's find the equations for each line:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
1) Here the points are (2,2) and (4,5)
then the slope is:
a = (5 - 2)/(4 - 2) = 3/2
y = (3/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)
2 = (3/2)*2 + b
2 = 3 + b
2 - 3 = b
-1 = b
y = (3/2)*x - 1
2) Here the points are (0,1/2) and (2,3/2)
then the slope is:
a = (3/2 - 1/2)/(2 - 0) = 1/2
y = (1/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)
1/2 = (1/2)*0 + b
1/2 = b
y = (1/2)*x + 1/2
3) Here the points are (-1,2) and (5,0)
then the slope is:
a = (0 - 2)/(5 + 1) = -1/3
y = (-1/3)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)
2 = (-1/3)*-1 + b
2 = 1/3 + b
2 - 1/3 = b
5/3 = b
y = (-1/3)*x + 5/3
4) Here the points are (-5,-3) and (-3,5)
then the slope is:
a = (5 + 3)/(-3 + 5) = -4
y = -4*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)
5 = -4*-3 + b
5 = 12 + b
5 - 12 = b
-7 = b
y = -4*x - 7
Now that we have all the equations, we can find the graphs.
where the colors are:
(4) green
(3) orange
(2) Blue
(1) Gray.
Answer:
EF =58
Step-by-step explanation:
from the illustration,
EF =DF - DE
<em>give</em><em>n</em><em> </em><em>that</em><em> </em><em>DF</em><em> </em><em>=</em><em>9</em><em>x</em><em>-</em><em>3</em><em>9</em><em> </em><em>,</em><em> </em><em>DE</em><em> </em><em>=</em><em>4</em><em>7</em><em> </em><em>EF</em><em>=</em><em>3</em><em>x</em><em> </em><em>+</em><em>1</em><em>0</em>
<em>sub</em><em>stitute</em><em> </em><em>them</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>formu</em><em>la</em><em>,</em>
<em> </em><em> </em>
<em>3</em><em>x</em><em> </em><em>+</em><em>1</em><em>0</em><em>=</em><em>9</em><em>x</em><em>-</em><em>3</em><em>9</em><em> </em><em>-</em><em> </em><em>4</em><em>7</em>
<em>sol</em><em>ving</em><em> </em><em>for</em><em> </em><em>x</em>
<em>3</em><em>x</em><em> </em><em>+</em><em>1</em><em>0</em><em> </em><em>=</em><em>9</em><em>x</em><em> </em><em>-</em><em>8</em><em>6</em>
<em>grou</em><em>ping</em><em> like</em><em> </em><em>ter</em><em>ms</em>
<em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>9x</em><em> </em><em>=</em><em>-</em><em>8</em><em>6</em><em> </em><em>-</em><em>1</em><em>0</em>
<em>-6x</em><em>=</em><em>-</em><em>9</em><em>6</em>
<em>div</em><em>iding</em><em> </em><em>throu</em><em>gh</em><em> </em><em>by</em><em> </em><em>-</em><em>6</em>
<em></em>
<em></em>
<em></em>
<em>but</em><em> </em><em>EF</em><em>=</em><em>3</em><em>x</em><em>+</em><em>1</em><em>0</em>
substitute x=16 into it to get the EF
EF= 3(16)+10
EF=48+10
EF=58