Use the functions to answer the question: What is f(x)-g(x)?

Answer:

Let's define the variables:

x = number of Cherrie pounds you buy

y = number of Grape pounds you buy.

The total cost of buying that will be:

x*$4 + y*$2.50

And this must be no more than $15, then we have the inequality:

x*$4 + y*$2.50 ≤ $15

And we also know that you need at least 5 pounds in total, then we will have:

x + y ≥ 5

We have the set of inequalities:

x + y ≥ 5

x*$4 + y*$2.50 ≤ $15

To graph them, a easy way is to write them as lines, and just graph the lines:

y ≥ 5 - x

y  ≤ ($15 - x*$4)/$2.50

in the first inequality, we have the symbol ≥, this means that we will have a solid line and we must shade above the line.

In the second inequality, we have the symbol ≤, this means that we will have a solid line and we must shade below the line.

And we also must include the conditions:

x ≥ 0

y ≥ 0

Because you can only buy positive numbers of fruit.

This will restrict us to the first quadrant only

Then the graph will be the one shown below.

Where the solutions are the ones in the double shaded region in the first quadrant.

The inequalities that represent the given data are [tex]\rm y \leq \dfrac{15-4x}{2.5}[/tex] and [tex]\rm y\geq 5-x[/tex] and the graph of these inequalities is attached below.

Given :

The following steps can be used in order to determine the graph showing the amount of each fruit you can buy:

Step 1 - Let 'x' be the total amount of cherries in pounds and let 'y' be the total amount of grapes in pounds.

Step 2 - The inequality that represents the total amount of fruits you can buy is given below:

[tex]\rm 4x+2.5y\leq 15[/tex]

[tex]\rm y \leq \dfrac{15-4x}{2.5}[/tex]

Step 3 - The inequality that represents the total amount of fruits you need to buy:

[tex]\rm x+y\geq 5[/tex]

[tex]\rm y\geq 5-x[/tex]

Step 4 - The graph that represents the inequalities evaluated in the above steps is attached below.

For more information, refer to the link given below:

https://brainly.com/question/19491153

Answer:

A

Step-by-step explanation:

One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Answer:

A. Each value is an equivalent ratio

Step-by-step explanation:

This image shows that the only possible answer would be A.

Answer:

f(x) is 5x³ and g(x) is  x+1

Step-by-step explanation:

Given the composite function:

h(x) = f(g(x)) = 5(x + 1)³

The function and be splitted into 5x³ and x+1 where f(x) =  5x³ and g(x) = x+1

Check:

f(g(x)) = f(x+1)

Substitute x with x+1 inn f(x)

f(x+1) = 5(x+1)³

f(g(x)) =  5(x+1)³  (which gives the required function

Hence one possibility of f(x) is 5x³ and g(x) is  x+1

Answer: this isnt the answer but these ads are S****TY dont click on this 1

i can barely see it please send a different picture

Step-by-step explanation:

Answer:

sas

Step-by-step explanation:

i think its sas because iy states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle then these two triangles wre congruent

Answer:

3x+7=7x-13(Being isoceles traingle)

7+13=7x-3x

20=4x

×=5

Step-by-step explanation:

This figure is not the best, but I'll try my best here

Since BC is parallel to BE (BC is part of BE) and BA is part of BD, two sides are  parallel, making two angles congruent and the triangles therefore similar.

Since BA correlates to BD (they are parallel), we can use the knowledge that BA is 7 and BD is 42 to find the scaling factor to be 42/7 =6 from ABC to DBE. Since BC correlates to BE, BC = 10, and the scaling factor is 6, BC*6=BE= 60 = height

Answer:

A whole number

Step-by-step explanation:

An integer is a whole number like 1, 2, 3. It could also be -1, -2, -3, or 0. 9.4 is not an integer. 10 is an integer.

Answer:

14n+4m

Step-by-step explanation:

Hey there!

“Simplify 2(7n + 5m – 3m)”

2(7n + 5m – 3m)

FIRST you have to DISTRIBUTE

2(7n) + 2(5m) + 2(–3m)

2(7n) = 14n

2(5m) = 10m

2(–3m) = –6m

14n + 10m – 6m

SECOND COMBINE your LIKE TERMS

(14n) + (10m – 6m)

(10m – 6m) = 4m ⬅️ FRONT number

(14n) = 14n ⬅️ BACK number

Answer: 4m + 14n ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

0.48

48%

Step-by-step explanation:

[tex] \frac{96}{200} = \frac{0.96}{2} = 0.48 \\ \\ \frac{96}{200} \times 100 = \frac{96}{2} = 48\% [/tex]

Answer:

-3

Step-by-step explanation:

the y=mx+b form is y=3/2x-3 and the b is the y-intercept.

Answer:

Speed of train from station M = 85 miles per hour

Speed of train from station N = 90miles per hour

Step-by-step explanation:

Given that the distance between two points M and N is 380 miles

Suppose the speed of train M is x

So, the speed of train N is 5 + x

Formula to use:

distance = speed x time

For the train from point M

d = x * 2

d = 2x

For the train from point N

d = (5 + x) * 2

the above 2 distances plus 30 miles equals 380 miles

Equation:

2x + 2(x+5) + 30 = 380

2x + 2x + 10 + 30 = 380

4x + 40 = 380

4x = 380 - 40

4x = 340

x = 340/4

x = 85 mph for train M

Now put the value in the second train's speed

x + 5

85 + 5

= 90 mph for train N

(https://brainly.com/question/12233662)

Answer:

x<20/7

Step-by-step explanation:

The expression is not well written. Fine the correct expression below

Given the expression  7x−9<11

Add 9 to both sides of the expression

7x-9+9<11+9

7x < 20

Divide both sides by 7

7x/7 = 20/7

x < 20/7

Hence the required solution is x<20/7

Answer:

[tex]\displaystyle m=\frac{3}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (2, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

Yes. Your answer is correct. There is only one solution:. (1, -4).

Step-by-step explanation:

If you plug in 1 for x and -4 for y both sides of the equation are equal to each other. (Because the points are (x, y))

But any other answer is not right because when you plug in the answer the sides don't equal each other.

Answer:

An angle can be named in different ways:

•by a number or letter written inside the angle.

•by the name of the vertex.

•by the vertex and a point on each ray.

Answer:

x = ∞ (Infinite solutions)

Step-by-step explanation:

[tex]4(2x-1)=8x-4\\\\8x-4=8x-4\\\\8x-4+4=8x-4+4\\\\8x=8x\\\\8x-8x=8x-8x\\\\\boxed{0=0}[/tex]

Since both sides of the equation mirror each other, the equation has infinitely many solutions.

Hope this helps.

Answer:

They are both equivalent.

Step-by-step explanation:

It is the same except there is just a 0 added to the back to 0.270. If it was 0.207, then 0.27 would have been bigger, but a zero of the back of a decimal wont affect it at all.

As 'zero' to the rightmost side after the decimal place has no value to it 0.27 and 0.270 are equivalent decimal numbers.

We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

We know 'zero' at the rightmost side after the decimal place has no value to it.

So, The numbers 0.270 and 0.27 are equivalent as 0.270 can be written 0.27.

Therefore the decimal numbers 0.27 and 0.270 are equivalent.

learn more about decimal numbers here :

https://brainly.com/question/4708407

#SPJ2

Answer:

Y=-3(x+6)

Step-by-step explanation:

Did this on edge2020

Answer:

y = -3(x + 6)  and y = -3(x - 2)

Step-by-step explanation:

A system that has no solutions means that the lines do not intersect at any point meaning the lines are parallel to each other, and for lines to be parallel to each other the slope of the lines should be equal since parallel lines have same slope.

So the equation of the line in the graph is y = -3x + 6

and the equation when graphed will form a system that has no solution is

y = -3(x + 6)  and y = -3(x - 2)

both have same slope to the slope of the line graphed in the figure that is -3

Answer:

A: y − 1 = −2(x − 4)

Step-by-step explanation:

on edge! hope this helps!!~ (⌒▽⌒)☆

Answer:

3 units in the x direction, -2 units in the y direction, 1 unit in the z direction

Step-by-step explanation:

3 units in the x direction, -2 units in the y direction, 1 unit in the z direction

Answer: option A

Step-by-step explanation:

edge 2023

Answer:

it is option 1

Step-by-step explanation:

mark my answer as brainliest

Answer:

3

Step-by-step explanation:

To find the relative maximum of a function the double derivative should be less than zero at the stationary point. For that we need to find the stationary value/values of the function so here goes,

[tex]f(x)=-x^3+6x^2-9x-1\\f'(x)=-3x^2+12x-9\\\\For\ stationary\ point\ f'(x)\ equals\ zero\\\\0=-3x^2+12x-9\\3x^2-12x+9=0\\x^2-4x+3=0\\\\x^2-3x-x+3=0\\x(x-3)-1(x-3)=0\\(x-3)(x-1)=0\\x=3\ ,\ x=1[/tex]

Now since we have two values of x at which the function is stationary we need to test them both for that we need to take the double derivative so here goes,

[tex]f'(x)=-3x^2+12x-9\\f''(x)=-6x+12\\now\ put\ x = 1\\f''(1)=-6(1)+12\\f''(1)=-6+12=6\\since\ f''(1)>0[/tex]

The point x = 1 is a relative minimum

But we need the relative maximum so lets try out x = 3

[tex]f''(x)=-6x+12\\f''(3)=-6(3)+12\\f''(3)=-18+12=-6[/tex]

[tex]since\ f''(3)<0[/tex]

The point x = 3 is the relative maximum because for relative maximum the double derivative should be negative or less than 0 in this case its true so the last option is your answer

Answer:

18

Step-by-step explanation:

50-32=18

There are essentially two ways that I know to solve this.

One is to guess.

The other is to find the prime factors of 96. For an integer to be a perfect square, each prime factor has to occur an even number of time. Therefore k would need to be the product of whatever primes occur in 96 an odd number of times.

Given that 9+6 is divisible by 3, we know that 96 is divisible by 3. Doing the division, we find that 96 = 3 * 32.

The prime factor 3 only occurs once. Therefore k must be a multiple of 3.

32 is 2 raised to the 5th power. This is an odd number of 2’s. We need one more. Therefore k must be a multiple of 2.

Therefore the smaller possible value of k is 6.

96 * 6 is a perfect square. It is the same as 64 * 9, or 24 * 24.

Hope it helps!

Answer:

≈ 7.71 ft

Step-by-step explanation:

The perimeter is half the circumference (C)  of the circle plus the diameter.

[tex]\frac{1}{2}[/tex] C = [tex]\frac{1}{2}[/tex] πd ( d is the diameter )

      = 0.5 × π × 3 = 1.5π

Thus

perimeter = 1.5π + 3 ≈ 7.71 ft ( to the nearest hundredth )

Answer:

-3/4

Step-by-step explanation:

-3/4 = -0.75

-13/16 = -0.8125

-0.75 > -0.8125

Answer:

-7<=t<=-4

Step-by-step explanation:

from negative seven to negative four there is no decreasing, only increasing.

Answer: Choice C) [tex]4 \le t \le 8[/tex]

======================================================

Explanation:

The point (4,5) is on the blue curve, and so is (8,9)

Draw a straight line through these points. This line has positive slope because it moves upward as we move from left to right, so there's a positive average rate of change from t = 4 to t = 8. Generally the curve goes upward as we move from t = 4 to t = 8.

Use the slope formula to compute the average rate of change if needed. It appears your professor doesn't want the actual numeric value, but just wants to know which interval corresponds to a positive average rate of change.

Answer:

Multiplying the first equation by 1 and the second equation by 5 to eliminate the y variable .

x= 0.3

y= -1.9

Step-by-step explanation:

8.3x + 5y = -7  ----------i

- 7x + y = -4 -----------ii

Multiply the first equation by 1 and the second equation by 5 to eliminate the y variable as below;

[8.3x + 5y = -7 ]1

[- 7x + y = -4]5

8.3x + 5y = -7

-35 x + 5y = -20

perform subtraction to eliminate y as

8.3x --35x = -7--20

43.3 x = 13

x= 13/43.3

x= 0.3

Using equation ii ;

-7x + y = -4

-7 * 13/43.3 + y = -4

-91/43.3 + y = -4

y= -4 + 91/43.3

y= -4 + 2.1

y= -1.9

Answer:

1. x=7/3

2.y=9/-8

3.x=-2/3

4. x=9

Step-by-step explanation:

1. divide by -3 on both sides

-3x=-7

x=7/3

2. -16y=18

divide by -16 on both sides

y=18/-16

simplify by 2

y=9/-8

3. 9x=-6

divide by 9 on both sides

x=-6/9

simplify by 3

x=-2/3

4. 4x=36

divide by 4 on both sides

x=9

Hope this helps!