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3 years ago

Which graph represents a function

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

3 0

Answer:

the bottom left one (the graph that looks like a circle) is not a function, but the other ones are.

Step-by-step explanation:

A function is defined so that for every x value within a function has a y value. This means that an x value CANNOT have more than one y value. The bottom right one has two y values for almost every x value within the domain. The top ones are functions, because all x values have only 1 y value (a discontinuous function is still a function!) And the bottom right is too.

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A woman drives an SUV that gets 13 mi/gal (mpg). Her husband drives a hybrid that gets 65 mpg. Every week, they travel the sam

Nady [450]

Answer:

Option 1 will give a better overall mileage.

Step-by-step explanation:

The husband and wife travel the same number of miles each week.

Let's say each one travels x miles in 1 week.

Let e = fuel economy in mpg

Let v = amount of fuel in gallons

Let d = distance in miles

e = d/v

ve = d

v = d/e

Before modifying cars:

Wife:

d = x

e = 13

v = d/e = x/13

Husband:

d = x

e = 65

v = d/e = x/65

Combined fuel they both use in 1 week:

x/13 + x/65 = 5x/65 + x/65 = 6x/65 = 0.0923x

Option 1:

Wife changes to:

d = x

e = 15

v = d/e = x/15

Husband remains the same.

Combined fuel they both use in 1 week:

x/15 + x/65 = 13x/195 + 3x/195 = 16x/195 = 0.08205x

Option 2:

Husband changes to:

d = x

e = 80

v = d/e = x/80

Wife remains the same.

Combined fuel they both use in 1 week:

x/13 + x/80 = 80x/1040 + 13x/1040 = 93x/1040 = 0.08942x

The total fuel used in 1 week by both in terms of the miles, x, driven by both are:

Original case: 0.0923x

Option 1: 0.08205x

Option 2: 0.08942x

The lowest amount of fuel is 0.08205x in option 1.

Answer: Option 1 will give a better overall mileage.

5 0

2 years ago

What is the inverse of this function

Charra [1.4K]

I think it’s literally the opposite operation so instead of subtracting it’s adding I believe because inverse is the opposite

4 0

3 years ago

An ice cream shop makes $1.25 on each small cone and $2.25 on each large cone. The ice cream shop sells between 60 and 80 small

Sergio [31]

Answer:

Let x and y represent the numbers of small and large cones sold daily, respectively
60 ≤ x ≤ 80
120 ≤ y ≤ 150
1.25x +2.25y > 350

Step-by-step explanation:

To answer the question, we need to be able to find the number of each type of cone that needs to be sold. For the purpose, it is convenient to define variables that represent those numbers. We have chosen to use the variables x and y to represent the number of small cones and the number of large cones, respectively ("Let" statement in above answer). One could use "s" and "l" as being more mnemonic, but "l" can be confused with a variety of other symbols, so we like not to use it.

The problem statement puts limits on the numbers of small and large cones sold, so our system of inequalities needs to reflect those limits. (We suspect these are not hard limits, but represent historical data. We doubt the shop would decline to sell more, and we can conceive of conditions under which they might sell fewer.)

The heart of the matter is that the profit from each type of cone must total more than $350 (per day). The problem statement requires the shop make a profit, not just break even, so we use the > symbol for profit, instead of ≥.

___

See above for the "Let" statement and the system of inequalities. (This problem does not require we solve them.)

3 0

3 years ago

the ratio of men to women in a certain factory is 3 to 4. there are 210 men. How many workers are there?

Nadusha1986 [10]

So men to women=3 to 4
210 men

210 represents 3 units
wome=4

210=3 units
divide by 3
70=1 unit
multiply by 4 to find women
280=women

total workers=women+men
women=280
men=210
280+210=490

total =490

8 0

3 years ago

Help pls, will choose brainliest if explanation is provided

Nookie1986 [14]

Answer:

$solve \: when \: (f + g) \:(4) \\ \\ first \: solve \: for \: f(x) \\ \: \\ solution \: .... \\ \\ f(x) = 4x - 3 \\ f(4) = 4(4) - 3 \\ f(4) = 16 - 3 \\ f(4) = 13 \\ \\ \\ now \: solve \: for \: g(x) \\ \: \\ solution \: .... \\ \\ g(x) = {x}^{3} + 2x \\ g(x) = {(4)}^{3} + 2(4) \\ g(x) = 64 + 8 \\ g(x) = 72 \\ \\ (f) - (g) = 13 - 72 \\ (f) -(g) = -59$

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2 years ago