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Dovator [93]
3 years ago
7

I'm suppose to factor these given, how should I do it?

Mathematics
1 answer:
Sauron [17]3 years ago
6 0
(3x+7)(x-1)=0

3x+7=0

x= -7/3

x-1=0

x=1
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You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar
Verizon [17]

Answer:

Length=10.5\ ft

Width=10.5\ ft

Area=110.25\ ft^{2}

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

P=2(x+y)

we have

P=42\ ft

so

42=2(x+y)

simplify

21=(x+y)

y=21-x------> equation A

Remember that the area of rectangle is equal to

A=xy ----> equation B

substitute equation A in equation B

A=x(21-x)

A=21x-x^{2}----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point (10.5,110.25)

see the attached figure

so

x=10.5\ ft

Find the value of y

y=21-10.5=10.5\ ft

The garden is a square

the area is equal to

A=(10.5)(10.5)=110.25\ ft^{2} ----> is equal to the y-coordinate of the vertex is correct

6 0
3 years ago
eddie is practicing wind sprints during summer break. hes able to run 72 meters in 12 seconds if d represents distance and t rep
kkurt [141]
The ratio is 12:72............

5 0
3 years ago
⚠️⚠️ Help I’m in desperate need of help ⚠️⚠️ the questions are basically in the top picture
Tom [10]

Answer:

1. 3^{3} * 3^{2}

2.6^{-4}

3. 5^{0} < 5^{1}

7 0
2 years ago
Please help me on this problem​
Rudik [331]
<h2><em><u>Answer:</u></em></h2>

Total Surface Area = 375 ft^2

<h2><em><u>Step-by-step explanation:</u></em></h2>

You need to find the area of the ceiling, floor, the two rectangle walls and the two trapezoid walls

<u>Area of the ceiling:</u>

c = length * width

c = 9*6.5 = 58.5

<u>Area of the 2 rectangle walls:</u>

w = 2(length * width)

w = 2(9 * 8)

w = 2(72)

w = 144

<u>Area of floor:</u>

f = 9 * 7.5

f = 67.5

<u>Area of the two trapezoids:</u>

t = 2(h * \frac{a + b}{2})

a = 6.5

b = 7.5

h = 7.5

t = 2(h * \frac{a + b}{2})

t = 2(7.5 * \frac{6.5 + 7.5}{2})

t = 2(7.5 * \frac{14}{2})

t = 2(7.5 * 7)

t = 2(52.5)

t = 105

Total Surface Area = c + w + f + t

Total Surface Area = 58.5 + 144 + 67.5 + 105

Total Surface Area = 375 ft^2

8 0
3 years ago
Riley and Francesca both commute to work. Riley's commute on the train
makvit [3.9K]
36=-x+12
36-12=24



X=24
6 0
3 years ago
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