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aliina [53]
2 years ago
15

Find the missing factor. n^2+4n-5=(n+5)()

Mathematics
2 answers:
Helga [31]2 years ago
8 0
(n + 5)(n - 1)
= n^2 -n + 5n - 5 (FOIL)
= n^2 + 4n - 5

Answer:
Missing factor: (n - 1)
Verizon [17]2 years ago
7 0
To solve this problem you must apply the proccedure shown below:
 1. You have the following quadratic equation given in the problem above:
  n²+4n-5; and you have one factor: <span> (n+5)
 2. Therefore, you must find a number whose sum with 5 be 4 and when their product be -5. Keeping this on mind, you have:
 (n+5)(n-1)
 3. To verify it, you can apply the distributive property:
 </span> (n+5)(n-1)=n²+4n-5
<span> The answer is: (n-1)</span>
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Compare the area of the bases. If a base has a greater area, it will take up more space on the shelf. Base area of Box 1: 3x2 Ba
vodka [1.7K]

Answer:

  Box 2

Step-by-step explanation:

A graph shows that 3x^2 > (4x^2 -x) only between x=0 and x=1. Thus, Box 2 has a larger base area for all other values of x.

Box 2 is likely to take up more space if x is unlikely to be between 0 and 1.

7 0
2 years ago
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On a coordinate plane, a piecewise function has 3 lines. The graph shows cleaning time in hours on the x-axis and total cost in
sveta [45]

Answer:

  C. (2, 6] hour jobs cost $100

Step-by-step explanation:

Let's consider each of these statements in view of the graph:

  1. A cleaning time of 2 hours will cost $100. -- The closed circle at (2, 50) tells you the cost of a 2-hour job is $50, not $100.
  2. A cleaning time of 6 hours will cost $150. -- The closed circle at (6, 100) tells you the cost of a 6-hour job is $100, not $150.
  3. Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. -- The line between the open circle at (2, 100) and the closed circle at (6, 100) tells you this is TRUE.
  4. Cost is a fixed rate of $200 for jobs that require at least 6 hours. -- "At least 6 hours" means "greater than or equal to 6 hours." The closed circle at (6, 100) means a 6-hour job is $100, not $200.

3 0
2 years ago
∆ABC has vertices at A(12, 8), B(4, 8), and C(4, 14). ∆XYZ has vertices at X(6, 6), Y(4, 12), and Z(10, 14). ∆MNO has vertices a
koban [17]
To get the length of each side,
use the distance formula with equation: 
Distance = ((x2-x1)^2+(y2-y1)^2)^0.5 
Solving
<span>AB = 8 units   BC = 6 units AC = 10 units
</span><span>MN =8units    NO = 6 units MO = 10 units
</span><span>XY = 6.32 units   YZ = 6.32 units XZ = 8.94 units
</span>JK = 4.47 units    KL = 4.47 units JL = 6 units 

1 The right answer is the letter b) triangle ABC and Triangle MNO are Congruent <span>triangles
ABC and MNO  are triangles that have the same lengths of its three sides.

</span>2 The answer is the letter c) rotation
There is a rotation of 90º about ABC and MNO the origin is B=N
B=N
C----------O
A----------M
3 0
2 years ago
An oblong box has a volume equal to lwh, where l is the length, w is the width, and h is the height. If the volume is 24 cubic f
rjkz [21]
<span>An oblong box has a volume equal to lwh, where l is the length, w is the width, and h is the height. If the volume is 24 cubic feet, solve for the height in terms of the other sides.

Given:
volume of 24 cubic feet

Required:
height

Solution:
V = 24 cubic feet
assume that the length, weight and height of the box are all equal
so l = w = h

24 = l^3
l = 2.88 feet</span>
3 0
2 years ago
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In a hospital, there are 250 registered nurses. 100 of the nurses are males. What is the ratio of male nurses to female nurses i
Dimas [21]

Answer:

The ratio of male nurses to female nurse in lowest terms is: 2:5

Step-by-step explanation:

Given: In a hospital, there are  total 250 registered nurses.

Number of nurses are males = 100

Number of nurses are females = 250 - 100 = 150  [ Total nurses - number of male nurses]

To find the ratio of male nurse to female nurses in lowest terms;

A ratio shows that the relative sizes of two or more values.

Then,

\frac{Number of male nurses}{Number of female nurses} = \frac{100}{250}

or

= \frac{100}{250} =\frac{10}{25} =\frac{2}{5} = 2:5

Therefore, the ratio of male nurses to female nurses in lowest terms is; 2 :5

7 0
2 years ago
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