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aliina [53]
3 years ago
7

Factor the expression: 2x^2 +21x+49

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0

Answer:

(2x + 7) ( x + 7)

Step-by-step explanation:

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Ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 stakes to mark off a rectangular area. Which
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ok consider a rectangle with two sets of equal sides

call one side of a set x

and one side of the other set y

we know she has 140 meters of rope so perimeter of the rectangle = 140

so 2x + 2y= 140

hence X = (140- 2y)/2

the dimensions have to satisfy the above equation

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3 years ago
Graph the function. f ( x ) = 1 3 x 2 − 2 x + 8 f(x)= 3 1 ​ x 2 −2x+8
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3 years ago
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What is the area and perimeter for these two shapes?
Lubov Fominskaja [6]
A:
Area: 289 m
Perimeter: 51 m

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3 years ago
Hanna is plotting a point in coordinate space. She starts at the origin and moves backward eight units along the x-axis. Then sh
sladkih [1.3K]

Answer:

( -8,0, 0) , ( -8, 1, 0) and  ( -8, 1, -5)

Step-by-step explanation:

We need to visualize the given situation in 3D

Coordinates is in the form of (x, y, z)

Henna starts from origin moves back 8 units Negative x-axis

x = -8   point will be ( -8,0, 0)

turning 1 unit right will be parallel to the y axis in positive y-axis direction

y = 1 point will be ( -8, 1, 0)

Moving down by 5 units, Negative z-axis

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5 0
3 years ago
A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate
svp [43]

Answer:

The volume of water in the pool over time from when the hose is placed in the pool until the pool is full is defined by the equation  and its graph is given below.

Explanation:

The total capacity of the pool is 20,000 gallon.

It is given that the pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour. So the initial volume of water is 5000.

Let the time is defined by t. So, the volume of water in the pool after time t is defined as,

The capacity of the pool is 20,000 gallon, therefore the maximum value of V(t) is 20,000.

The maximum value of t is 12, since the time is always positive, therefore we can say that,

The below graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full. The initial point is (0,5000) and the other point is (12,20000).

6 0
3 years ago
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