Answer:
The slope of the line is -7/8
The point slope-form is y+4=(-7/8)(x-7)
The slope-intercept form is y=(-7/8)x+(17/8)
Step-by-step explanation:
You have to find the slope first using m=y2-y1 divided by x2-x1. After you found the slope of the line, you use one of the points to plug it into the point-slope form which is y-y1=m(x-x1). After you have done that, you would have convert this equation into slope-intercept form which is y=mx + b. In order to convert it, you have to multiply m with x and x1. Then you would have to get rid of y1 by doing the opposite of what y1 is. Finally, you would take the opposite of y1 and add it to the other side of the equation.
Really hope this helps! :)
For the answer to the question above, <span>f x is the number of days she works, she'll earn $90x </span>
<span>After buying the laptop, she'll have $90x - $700 left over, which will pay for ($90x - $700) / $150 days of travel. So we have y = ($90x - $700) / $150 = (9x - 70) / 15 = 0.6x - (14/3) </span>
<span>Note that y can't be negative. Also, if y = 0, then Emma doesn't get to travel at all, so we should avoid that. So we have: </span>
<span>0.6x - (14/3) > 0 </span>
<span>0.6x > 14/3 </span>
<span>x > (14/3) / 0.6 </span>
<span>x > 70/9 </span>
<span>The question says that x can be up to 40, so the domain is 70/9 < x <= 40 </span>
<span>That's approximately 7.777... < x <= 40 </span>
<span>Multiply those numbers by 0.6 and then subtract 700 to get the range: </span>
<span>0 < y <= 58/3 </span>
<span>That's approximately 0 < y <= 19.333</span>
<h3>
Hey!</h3>
<em><u>To solve the missing number of the original amount of gallons that were in the tank is simply by adding the two numbers we have: </u></em>
<em><u></u></em>
9+3= 12 gallons
<u><em>To make sure 12 was the original number, subtract 12 from 9. </em></u>
<u><em /></u>
<u><em>12-9= 3 gallons </em></u>
So your answer to your question is 12 gallons!
Hope this helped! °ω°
Answer: Product = 13.8
Step-by-step explanation:
<u>As we have to use area model :</u>
So, we
Let length of rectangle be 4.6
Let breadth of rectangle be 3
As we know that
Area of rectangle is given by

Now, we must write in standard form, word form and expanded form:
So,
Standard form = 13.8
Word form = thirteen and 8 tenths
Expanded form is given by
