Answer:
Domain is x-values'
ranges y-values'
domain: x>=1
Range: y<=0
Step-by-step explanation:
Answer:
The Amount of tax paid on the cell phone is $11.9
Step-by-step explanation:
Given as :
The cost of the cell phone = x = $170
The tax rate of the cell phone = r = 7% of the phone cost
Let The Amount of tax paid on the cell phone = $y
<u>Now, According to question</u>
The Amount of tax paid on the cell phone = 7 % of cost of the cell phone
i.e y = 7% of x
Or, y =
× x
Or, y =
× $170
Or, y = 
∴ y = 7 × 1.7
i.e y = $11.9
So,The Amount of tax paid on the cell phone = y = $11.9
Hence, The Amount of tax paid on the cell phone is $11.9 Answer
Y + 18 = a(x + 3)^2
<span>0 + 18 = a(0 + 3)^2 </span>
<span>18 = 9a </span>
<span>2 = a
</span>
<span>y = 2(x + 3)^2 - 18 </span>
<span>0 = 2(x + 3)^2 - 18 </span>
<span>18 = 2(x + 3)^2 </span>
<span>9 = (x + 3)^2 </span>
<span>± 3 = x + 3 </span>
<span>-3 ± 3 = x </span>
<span>x = 0 or -6
</span>
<span>(0, 0) and (-6, 0)</span>
Ok don’t worry this is a very easy topic
It falls under “gradients of a straight line”
I’ll try my best to explain the question but u can find plenty of videos online (Fuse School or Cognito) explaining the topic in detail.
Gradient means slope or how steep a line is.
To find the gradient we use the formula
(Change in y) / (change in x)
*Step 1*
Choose any two coordinates (exact) of the line from the graph
For line 1 let’s take
(2,4) (-3,4)
Now from this
the change in y= (4-4) = 0
the change in x = (-3-2) = -5
So the gradient = 0/-5 = 0
*Now this makes sense because a straight horizontal line has no slope and thus has a gradient of zero. So even without all the calculation we can figure this out easily.
Now for line 2 let’s take the coordinates:
(-3,1) (-3,3)
The change in y= (3-1) = 2
The change in x = (-3- -3) = 0
So gradient = 2/0 = “Undefined”
*The gradient of vertical straight line is always undefined (no gradient)*
*The gradient of horizontal straight lines is always 0*
Hope this helped and best of luck for your exams!
9.6x_12................
10