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2 years ago

Half of the sum of six and three then divided by seven

1 answer:

6 0

The expression is 1/2 × (6+3) ÷7
1/2 × (6+3) ÷7
1/2 × 9 ÷7
4.5 ÷7
0.64285714
*Last 6 digits are repeating decimals
Hope this was helpful :D

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A 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript degree binomial with a constant term of 88

LiRa [457]

Answer:

See explanation

Step-by-step explanation:

A 3rd degree binomial with a constant term of 8

A binomial expression is an expression which has only terms such as: x² + 5

The degree of a polynomial is the term with the highest exponent on its variable.

Example: the expression above x² + 5

The exponent of variable, x is 2

So, it is a 2nd degree polynomial

We also have 1st degree polynomial where the highest exponent on the variable is 1

3rd degree polynomial where the highest exponent on the variable is 3

A 3rd degree binomial with a constant term of 8

1. There must be a variable, let say x

2. The highest exponent on the variable must be 3

3. There must be a constant 8

4. The expression must have two terms only

It could be x² + 8 where the coefficient of x is 1

2x² + 8

3x² + 8

It could take any form as long as the highest exponent on the variable is 3 and there are just two terms

7 0

2 years ago

A forest ranger is in a forest 2 miles from a straight road. A car is located c miles down the road. The forest ranger can walk

Tcecarenko [31]

Answer:

T(x) = (√(4+x^2))/2 +(c -x)/4
(a) x = 1.155 miles
(b) x = 1/2 mile

Step-by-step explanation:

The straight line distance from the starting point to the point x on the road is given by the Pythagorean theorem:

d1 = √(2²+x²)

The time required to walk that distance in the woods (at 2 miles per hour) is ...

time = distance / speed

t1 = √(4+x²)/2

The remaining distance along the road to the car is ...

d2 = c - x . . . . . for c > x

and the corresponding time at 4 mph is ...

t2 = (c -x)/4

Then the total time is ...

T(x) = t1 +t2

T(x) = √(4+x²)/2 +(c -x)/4

(a) The value of x that minimizes total time is the one that makes the derivative zero.

T'(x) = x/(2√(4+x²)) -1/4

0 = (2x -√(4+x²))/(4√(4+x²))

√(4+x²) = 2x . . . . . fraction is zero when numerator is zero; add radical

4 +x² = 4x² . . . . . . square both sides

4/3 = x² . . . . . . . . . subtract x², divide by 3

x = (2/3)√3 ≈ 1.1547

If c = 9 miles, x = 1.1547 miles.

(b) For c < (2/3)√3, the shortest travel time will be along the straight-line path to the car.

If c = 1/2 mile, x = 1/2 mile.

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2 years ago

For any linear function f(x) = mx + b, when does kf(x) = f(kx)?

sammy [17]

A linear function. Sorry of it's not en

8 0

2 years ago

Sometimes the unit price on two sizes of the same product will be the same. When this is the case, how will different kinds of d

nadezda [96]

The "unit price" tells gives the cost per pound, quart, or other unit of a food package. If you compare the cost of the same unit of the same food you can save money. 
Different kinds of discounts will affect differently the total unit price of each size.

4 0

2 years ago

Read 2 more answers

In the figure, polygon ABCD is dilated by a factor of 2 to produce A′B′C′D′ with the origin as the center of dilation. Point A′

emmasim [6.3K]

You did not attach any picture to solve this problem. We cannot calculate for the value of A’ and D’ without the correct graph. However, I think I found the correct graph (see attached), please attach it next time.

So we are given that the figure is dilated by a factor of, meaning that all of its end points are multiplied by 2. By this rule, all we have to do is to simply multiply the initial coordinates of A and D by 2 to get A’ and D’, that is:

A’ = (-1 * 2, -1 * 2) = (-2, -2)

D’ = (2 * 2, -1 * 2) = (4, -2)

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2 years ago