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zhannawk [14.2K]
4 years ago
14

Help me please someone ! Complete the square on the following quadratic

Mathematics
1 answer:
Elena L [17]4 years ago
8 0
Completing the square has us breaking rules of solving equations and factoring out the greatest common factor, but it is what it is! The first step is to make sure that the coefficient on the x^2 term is a 1 and it is so we are good there.  Now subtract 9 from both sides to get x^2 + 16x = -9. Complete the square on the left side by taking half of the linear term (16x) which is 8 and then squaring it to get 64.  That's what is added to both sides.  Now it looks like this:
x^2 + 16x + 64 = -9 + 64.  If you were to write it in vertex form it would look like this: (x+8)^2 - 55 = 0.  Now you can use this to plot the vertex of a parabola if you want to: it sits at (-8, -55)
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What is the mean of the data set rounded to the nearest tenth?
mash [69]
The answer would be 1.5 when rounded.
8 0
3 years ago
The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
MariettaO [177]
PART A:

Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.

0.000025 = 2.5×10⁻⁵

PART B:

Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵) 
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger

PART C:

The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer

PART D:

Smallest bacteria = 300 nanometer
300 nm = 300 ÷ 10⁹ = (3 × 10²) ÷ 10⁹ = 3 × (10²⁻⁹) = 3 × 10⁻⁷ meter

PART E:

Laws of exponents that are applied in scientific notation is 

xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾

7 0
3 years ago
Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d
iogann1982 [59]
<span>Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144

Solution:

Since  it has to be between -13 and 89, letter d and b are not anymore considered to be the answer.

for a:
33-(-13)=46=d
43-33=10=d the value for this d is different from the two sequence,
89-43=46=d
they have different value for d, thus this is not the answer!

for c:
21-(-13)=34=d
55-21=34=d
89-55=34=d

they have the same value for d, thus the correct answer is </span><span> c. -13, 21, 55, 89</span>
8 0
4 years ago
A college Statistics class conducted a survey concerning community attitudes about the college's large homecoming celebration. T
gogolik [260]

Answer:

A) Yes

B) No

C) No

D) No

Step-by-step explanation:

A) Yes, every telephone number that could occur in that community will have an equal chance of being generated because the telephone numbers were generated randomly.

B) No, this method of generating telephone numbers would not result in a simple random sample (SRS) of local residences because the first three digits were generated in a different random way than the last four digits.

C) No, this method would not generate an SRS of local voters because not everybody will be pick up when they call because they may not be at home or they may be too busy to pick up.

D) No, this method is not unbiased in generating samples of households because there will be nonresponse bias since not everyone will pick up the call

4 0
3 years ago
For what value of the constant c does the above equation have x = 2 as the only solution?
Stolb23 [73]
The answer is A, -41.
Substitution:
-8(2) - (-41)
-16 + 41
25.
Square root of 25 = 5.
5 = 4x - 3.
5 = 4(2) - 3
5 = 8 - 3
5 = 5.

8 0
3 years ago
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