Step-by-step explanation:
a)
For each value of x, we need to solve for y.
Our equation is x² -2. This means that we multiply x by itself ( x * x = x²), and then subtract that value by 2.
Here is a list of the unfilled answers:
x = -2:
-2²-2 = -2 * -2 -2 = 4-2 = 2. -2 * -2 = 4 because two negatives multiplied together makes a positive.
x=-1:
-1²-2 = 1 -2 = -1
x=1
1²-2 = 1-2= -1
x=3:
3²-2 = 9-2 = 7
b)
In this graph, the y represents the vertical part and x represents the horizontal. For each value of y, there is a horizontal line that can be drawn. For example, when y=0, the bolded horizontal line near the bottom of the graph represents that. We then need to find the points on the line representing x²-2 where it touches the horizontal line of y=0. This happens when x=-1.5 and x=1.5, as it is between the positive/negative 1 and 2 values of x
-0.12
( 1.9-3.1)= -1.2
-1.2 squared= 1.44
1.44-1.56=-0.12
You need more information, which one is the adjacent and opposite (it’s either 5/12 or 12/5)
Answer:
Problem 1:
Problem 2:
Problem 3:
The radius is cm.
Problem 4:
The width is 15 cm.
Step-by-step explanation:
Problem 1:
We want to solve for .
Multiply both sides by 3:
Rearrange the multiplication using commutative property:
We want to get by itself so divide both sides by what is being multiplied by which is .
Problem 2:
We want to solve for in .
Multiply both sides by 3:
We want by itself so divide both sides by what is being multiply by; that is divide both sides by .
Problem 3:
The circumference formula for a circle is . We are asked to solve for the radius when the circumference is cm.
Divide both sides by what r is being multiply by; that is divide both sides by :
Reduce fraction:
The radius is cm.
Problem 4:
The perimeter of a rectangle is where is the width and is the length.
We are asked to find w, the width, for when L, the length, is 5, and the perimeter is 40.
So we have this equation to solve for w:
Simplify the 2(5) part:
Subtract both sides by 10:
Divide both sides by 2:
Simplify the fraction:
The width is 15 cm.
We have that
3^y = 7
applying log both members
log(3^y)=log 7
y*log 3=log 7
y=log 7/log 3
using the <span>logarithmic graph of y=log x
</span><span>I graphically determine the values for x = 3 and x = 7
</span><span>
see the attached figure
for x=3
log 3=0.48
for x=7
log 7=0.85
therefore
</span>y=log 7/log 3-----> y=0.85/0.48-----> y=1.77
<span>
the answer isthe </span><span>
approximate value of y is 1.77</span>