Domain is the numbers you can use
we can use all real numbers for this one
rangge is the numbers we get from inputting the domain
well, this is a 4th degree, so we need to find the minimum,because the leading coefient is positive so it opens up, and as x approaches negative and positive infinity, then f(x) approaches infnity
find minimum
take derivitive
f'(x)=4x^3-18x^2-8x+54
the zeroes are at about -1.652 and 1.9381 and 4.2145
we use a sign chart
the minimum occurs at hwere the derivitive changes from negative to positive
that is at -1.652 and 4.2145
evaluate f(-1.652) and f(4.2145)
f(-1.652)=-110.626
f(4.2145)=-22.124
the least value is -110.626
that is the minimum
so the domain is all real numbers
range is from -110.626 to infinity
Answer: jason has 10 dimes and 5 quarters.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a quarter is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
Let x represent the number of dimes that he has.
Let y represent the number of quarters that he has.
He has twice as many dimes as quarters. This means that
x = 2y
Jason has $2.25 worth of dimes and quarters. This means that
0.1x + 0.25y = 2.25 - - - - - - - - - - - 1
Substituting x = 2y into equation 1, it becomes
0.1 × 2y + 0.25y = 2.25
0.2y + 0.25y = 2.25
0.45y = 2.25
y = 2.25/0.45
y = 5
x = 2y = 2 × 5
x = 10
1) A = π r² = 22/7 x 10² = 314.28 in²
2)A = π r² = 22/7 x 9² = 254.57 mm²
3) radius = 1/2 diameter
r = 1/2 x 3 = 1.5 in
A = π r² = 22/7 x 1.5² = 7.07 in²
4)A = π r² = 22/7 x 14² =616 cm²
5) radius = 1/2 diameter
r = 1/2 x 1.5 = 0.75 ft
A = π r² = 22/7 x 0.75² = 1.76 ft²
Answer:
A, B, D, E, F
Step-by-step explanation:
48/64 can be simplified into all of them except C
It would be -8/10 because
16/20 when simplified is 8/10
4/5 when doubled is 8/10
-8/-10 is still 0.8 which is also 8/10 (-8 divided by -10 = 0.8)
