<span>1. </span><span>Fiona drives 60 miles per hour on
the Highway
And drives 30 miles per hour on the City.
She got a total of 312 hours in the highway and 112 hours in the city
Find the average speed of Fiona:
Formula of Speed
=> S = d / t
Let H be the distance in Highways
and Let C be the distance in City
=> H = 60 x 312
=> H = 18 720
=> C = 30 x 112
=> C = 3360
=> Total distance = 18 720 + 3 360
=> 22 080 miles
Let’s find the total time
=> H + C
=> 312 + 112
=> 424 hours
Speed = 22 080 / 424
S = 52.1 miles per hour
</span>
Step-by-step explanation:
Solve the inequality for b
-15b <= 45 divide both sides by -15, since you're dividing by a negative number switch the direction of the sign.
b >= -3
So, your number line is all values of b greater than or equal to -3. Since it is including -3, the circle will be filled and increase to the positive.
Answer:
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Step-by-step explanation:
Answer:
In order down the left side, ...
- y = 1/3x +2
- y = 1/2x +3
- y = 2x +6
- y = -2x +3
Step-by-step explanation:
To put a linear equation in slope-intercept form, you solve for y, then simplify.
<u>x -3y = -6</u>
Subtract x and divide by -3:
y = 1/3x +2
__
<u>2y -6 = x</u>
Add 6 and divide by 2:
y = 1/2x +3
__
<u>-x +(1/2)y = 3</u>
Add x and multiply by 2:
y = 2x +6
__
<u>2x +y = 3</u>
Subtract 2x:
y = -2x +3
_____
<em>Comment on the algebra</em>
Note that when we say add, subtract, multiply, or divide by something or other, we mean to <em>do that to both sides of the equation</em>. That is required by the properties of equality.
If you remember the rule: do the same thing to both sides of the equation, then algebra suddenly becomes much easier.
For identifying the slope of a line, is easier if we get the equation to its slope-intercept form, that is:
y = mx + b
where m is the slope, and b is the y axis intercept. So we'll change the original equations and get them to this form:
<span>3y+ x= 12
3y = -x + 12
y = (-1/3) + 4
therefore the slope is -1/3 and the y-axis intercept is 4
-9x + 4y = 16
4y = 9x + 16
y = (9/4)x + 4
therefore the slope is 9/4 and the y-axis intercept is 4</span>