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Tresset [83]
4 years ago
12

which second-degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2

Mathematics
1 answer:
olchik [2.2K]4 years ago
5 0

Answer:

  f(x) = -x^2 +8x -16

Step-by-step explanation:

With the given data, we can write the factored function as ...

  f(x) = -1(x -4)^2 . . . . . -1 is the leading coefficient; exponent of 2 gives root multiplicity

  f(x) = -x^2 +8x -16

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The sum of 2 consecutive numbers is 37. Find the numbers. If x represents the smaller integer, then the larger integer is
NARA [144]

Answer:

x + 1

Step-by-step explanation:

There are a few ways this problem could be solved. The easiest route is to note that the first part of the question says "2 consecutive numbers". If the numbers are next to each other on a number line (consecutive) and x is the smaller number, the larger number is x + 1.

To check, let's find the two numbers. We know the numbers are next to each other on a number line and that together, they equal 37. Let's begin with 15 and 16.

15 + 16 = 31

These numbers are too low, as they should add to 37. Let's try 18 and 19.

18 + 19 = 37

There are the two correct numbers. If x = the smaller number, x = 18.

18 + 1 = 19

Since this is correct, we know for sure that the answer is x + 1.

6 0
3 years ago
150 people in 5 classes
Firdavs [7]
150 = 5 classes
1 class = 30
4 0
3 years ago
Mikhael wanted to rewrite the conversion factor "1 yard ≈ 0.914 meter" to create a conversion factor to convert meters to yards.
Nataly [62]

Answer:

1\ meter = 1.094\ yard

Step-by-step explanation:

Given

1\ yard = 0.914\ meter

Required

Create a convert meter to yard expression

1\ yard = 0.914\ meter

Divide both sides by 0.914

\frac{1\ yard}{0.914} = \frac{0.914\ meter}{0.914}

\frac{1\ yard}{0.914} = 1\ meter

1.09409190372\ yard = 1\ meter

1\ meter = 1.09409190372\ yard

1\ meter = 1.094\ yard --- approximated

6 0
3 years ago
A circular swimming pool has a radius of 28ft. There is a path all the way around the pool that's 4ft wide. A fence is going to
Natalka [10]

Answer:

Therefore 200.96 ft.of fencing are needed to go around the pool path.

Step-by-step explanation:

Given, a circular swimming pool has a radius of 28ft. There is a path all the way around the pool. The width of the path 4 ft.

The radius of the outside edge the pool path is

= Radius of the pool + The width of the path

= (28+4) ft

= 32 ft.

To find the length of fencing, we need to find the circumference of outside the pool path.

Here r= 32 ft

The circumference of outside edge of the pool path

=2\pi r

=(2\times 3.14 \times 32) ft

=200.96 ft.

Therefore 200.96 ft.of fencing are needed to go around the pool path.

3 0
4 years ago
The owner of a chain of bookstores plans to close one of his stores. What is the best way to display the data below if he wants
adelina 88 [10]

Answer:

Bar Graph

Step-by-step explanation:

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3 years ago
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