Answer:
Domain: B but should be x > 0
Range: A
Step-by-step explanation:
The domain is the set of all x values. This is seen in the graph as all values on the x-axis which have a value for the function. Since this function begins at the y-axis (where x = 0) and continues right then the domain is x > 0.
The range is the set of all y values. This is seen in the graph as all values on the y-axis which have a value for the function. Since the function curves on the coordinate plane all along the y-axis, it has no restrictions. This means it has all y values as a part of the function. The range is all real numbers.
Answer:
<h2>∠z = 10°</h2>
Step-by-step explanation:
A triangle is always 180 degrees.
If ∠x is 60°
and ∠y is 110°,
110 + 60 = 170
∠z = 10 degrees
Answer:
Step-by-step explanation:
<u>Solving Equations</u>
We have the expression:
And it's required to make y the subject.
It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.
The first step is removing the denominator by multiplying both sides by y-3:
Simplifying the right side:
Remove the parentheses:
Move the y's to the left side and the rest of the expression to the right side:
Factor out y:
Divide by x-1:
Answer:
length = 5
width = 9
Step-by-step explanation:
V = lwh
let 'x' = length
let '4+x' = width
9 = height
405 = 9x(4+x)
405 = 36x + 9x²
this is a quadratic equation: 9x² + 36x - 405 = 0
factor out a 9 to get:
9(x² + 4x - 45) = 0
9(x-5)(x+9) = 0
one root is 5 and the other is -9
since distance cannot be negative we use 5 as the length and 9 is the width
Answer:
There are 2.22 grams of clay are in each pot.
Step-by-step explanation:
Given:
Dakota has 4/10 kg of clay. He divides the clay to make 888 equal-sized pots.
Now, to find the number of grams of clay are in each pot.
Dakota has clay =
So, by using conversion factor we convert it into grams:
Quantity of clay he has = 400 grams.
Number of equal-sized pots to make = 888.
Now, to get the quantity of grams of clay are in each pot we divide number of equal-sized pots to make by quantity of clay he has:
Therefore, there are 2.22 grams of clay are in each pot.
