Hey there,
To find the value of x we can take the two, CD or DE and set them equal to CE.
First step is set the lines equal to each other:
Now we combine like terms:
Then we subtract 7x from both sides:
Add 6 to both sides:
Lastly we divide both sides by 2:
So the value of x would have to be 5.
Hope I helped,
Amna
Answer:
Duration of the tour he planned first is 8 days.
Step-by-step explanation:
Given that a person has 12000 rupees for his daily expenses.
Let x be the number of days.
Then daily expenses per day 
Given that number of day is increased by 2 more days, that is number of days is x+2.
New daily expense per day 
Given that this new daily expenses are 300 less than original.
That is 




(x-8)(x+10)=0
x=8 or -10.
Since number of days cannot be negative, duration of the tour planned=8.
From the steps Talia chooses to find the equation of the line, we shall evaluate the incorrect step as follows:
Step 1:
Choose a point in the line such as (2,5)
Step 2:
<span>Choose another point on the line, such as (1, 3)
step 3:
</span><span>Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is.
(5-3)/(2-1)=2/2=1
step 4:
</span><span> Substitute those values into the point-slope form
y-y1=m(x-x1)
y-3=2(x-1)
y=2x+1
Thus the answer is:
</span><span>Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form</span>
In order to get the total price, we can multiply the 4 dollars by .05 to find 5 percent of the object's cost and add it to the sales tax. So, .05 times 4 is 0.2, meaning there is a sales tax of 0.2 dollars. We add that to the four, so the total price is 4.20 dollars. Hope this helps.
The factors of 4 x² - 9 :
4 x² - 9 = ( 2 x - 3 ) · ( 2 x + 3 )
We have to use the formula for the difference of squares:
a² - b² = ( a - b ) · ( a + b )