Answer:
$74.90
Step-by-step explanation:
If $70 is your original price, you would need to multiply it by 1.07, because that is 107%.
Since the original price is 100% of the price, and sales tax is another 7% of the price, you are multiplying the original price by 107%, again making $74.90.
Do you understand?
Average rate of change over interval [a,b]: r=[f(b)-f(a)]/(b-a)
In this case the interval is [0,2], then a=0, b=2
r=[f(2)-f(0)]/(2-0)
r=[f(2)-f(0)]/2
1) First function: h(x)
r=[h(2)-h(0)]/2
x=2→h(2)=(2)^2+2(2)-6
h(2)=4+4-6
h(2)=2
x=0→h(0)=(0)^2+2(0)-6
h(0)=0+0-6
h(0)=-6
r=[h(2)-h(0)]/2
r=[2-(-6)]/2
r=(2+6)/2
r=(8)/2
r=4
2) Second function: f(x)
A function, f, has an
x-intercept at (2,0)→x=2, f(2)=0
and a y-intercept at (0,-10)→x=0, f(0)=-10
r=[f(2)-f(0)]/2
r=[0-(-10)]/2
r=(0+10)/2
r=(10)/2
r=5
3) Third function: g(x)
r=[g(2)-g(0)]/2
From the graph:
g(2)=6
g(0)=2
r=(6-2)/2
r=(4)/2
r=2
4) Fourth function: j(x)
r=[j(2)-j(0)]/2
From the table:
x=2→j(2)=-8
x=0→j(0)=4
r=(-8-4)/2
r=(-12)/2
r=-6
Answer:
Pairs
1) h(x) 4
2) f(x) 5
3) g(x) 2
4) j(x) -6
Answer:
x= 1.6 degrees
Step-by-step explanation:
to find the missing angle 180 degrees - 151 degrees
29° is the missing angle at the bottom ryt of the triangle.
all angles in triangle add upto 180°
so, 20x-3°+11x-1°+29°= 180°
31x=180°-25°
x= 1.6°
Answer:
-4.6, -4 1/9, 4.2, 4.6
Step-by-step explanation:
What I like to do is convert everything into either decimal form. This makes ordering a lot easier.
This will leave you with:
4.2
-4.11
-4.6
4.38
Negative numbers are lower than positive ones, so they will come first.
The two ys must be the same. Equate the two right hand sides.
-x + 10 = x + 2 add x to both sides.
10 = x + x + 2
10 = 2x + 2 Subtract 2 from both sides.
8 = 2x Divide by 2
x = 8/2
x = 4
Now solve for y
y = x + 2
y = 4 + 2
y = 6
Use the other equation to check it.
y = - x + 10
y = -4 + 10
y = 6
