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3 years ago

Using the information in the customer order, determine the length and width of the garden. Enter the dimensions. ↓

Mathematics

1 answer:

SashulF [63]3 years ago

6 0

Answer:

Length: 14 feet Width: 1 foot

Step-by-step explanation:

This is the only way to have a rectangle that has a perimeter of 30 feet, and an area of 14 feet.

For perimeter:

14 + 14 = 28

1 + 1 = 2

2 + 28 = 30

These dimensions have a perimeter of 30.

For area:

14 x 1 = 14

These dimesnions also have an area of 14.

So, 14 and 1 are the correct dimensions!

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In a survey of 269 college students, it is found that

Degger [83]

Answer: a) 83, b) 28, c) 14, d) 28.

Step-by-step explanation:

Since we have given that

n(B) = 69

n(Br)=90

n(C)=59

n(B∩Br)=28

n(B∩C)=20

n(Br∩C)=24

n(B∩Br∩C)=10

a) How many of the 269 college students do not like any of these three vegetables?

n(B∪Br∪C)=n(B)+n(Br)+n(C)-n(B∩Br)-n(B∩C)-n(Br∩C)+n(B∩Br∩C)

n(B∪Br∪C)= $69+90+59-28-20-24+10=156$

So, n(B∪Br∪C)'=269-n(B∪Br∪C)=269-156=83

b) How many like broccoli only?

n(only Br)=n(Br) -(n(B∩Br)+n(Br∩C)+n(B∩Br∩C))

n(only Br)= $90-(28+24+10)=28$

c) How many like broccoli AND cauliflower but not Brussels sprouts?

n(Br∩C-B)=n(Br∩C)-n(B∩Br∩C)

n(Br∩C-B)= $24-10=14$

d) How many like neither Brussels sprouts nor cauliflower?

n(B'∪C')=n(only Br)= 28

Hence, a) 83, b) 28, c) 14, d) 28.

4 0

3 years ago

PLZ Help ME

grin007 [14]

Answer:

Step-by-step explanation:

B A B B

On Desmos, the derivative (slope) of a function can be shown by using a "prime" (apostrophe) after the function name. Here, we've drawn a dashed blue curve to show where the slope of g(x) exceeds that of f(x). g(x) has a greater slope for all values of x that are more than 4. Any interval bounded by 4 on the left end will be an interval in which the slope of g(x) exceeds the slope of f(x).

Without the graphing calculator, you can estimate that that a line parallel to f(x) will be tangent to g(x) at about x=4. Then for points to the right of that, g(x) has greater slope. Your interval [4, 5] is the only offering for Blank 1 that is appropriate.

The slope of any linear function will "remain constant", so you only need to decide if the slope of g(x) is increasing or decreasing. Your consideration of the curve already should tell you the slope will "increase" as x gets larger.

The value of f(x) is very close to the value of g(x) at x=7. They are the same when x is about x = 7.016. Up to that point, f(x) is larger. f(7) = 27; g(7) = 26.8435456. There should be no argument.

An exponential function eventually exceeds any kind of polynomial function as x gets large.

8 0

3 years ago

For each of the transformed square root functions, state the transformations and use them to plot the

FrozenT [24]

Step-by-step explanation:

so, if I understand this correctly, the original function (shown in the graph) is

f(x) = sqrt(x)

the following transformations were done going from f(x) to h(x) :

x -> x + 4 as variable term moved the whole curve 4 units to the left. because now a specific functional value is calculated for a smaller x (by 4 units) than for the original f(x). e. g. let's call g(x) = sqrt(x + 4). then g(-4) = f(0). as mentioned, everything moved over to the left by 4 units.

sqrt(x) -> 3×sqrt(x) increased the range of the function (the generated y values) by the factor 3. was the functional result for a x value = 1, then it is now 3 for the same x value.

sqrt(x) -> sqrt(x) - 1 moved the whole curve down by 1 unit.

in summary, the whole original curve was moved 4 units to the left, then stretched upwards by the factor 3, and then that result was moved down by 1 unit.

so, e.g.

h(-4) = 3×f(0) - 1 = -1 point (-4, -1) corresponds to old (0, 0)

h(-3) = 3×f(1) - 1 = 2 point (-3, 2) corresponds to old (1, 1)

h(0) = 3×f(4) - 1 = 5 point (0, 5) corresponds to old (4, 2)

8 0

2 years ago

Please help with question 5 !!!

tia_tia [17]

Answer:

(6,5)

Step-by-step explanation:

6 0

3 years ago

What is the solution to this question 3x-5+2x=25

enyata [817]

Answer:

x=6

Step-by-step explanation:

First, combine like terms. 3x + 2x = 5x. Now, your equation should look like this: 5x -5 = 25. Next, add 5 to both sides to get this: 5x = 30. Finally, divide both sides by 5 to get x=6. So, 6 equals 6

3 0

4 years ago

Read 2 more answers