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Bad White [126]
2 years ago
6

PRETTY please help

Mathematics
2 answers:
lukranit [14]2 years ago
5 0

Answer:

  • C. 4x − 7

Step-by-step explanation:

<u>Given polynomial:</u>

  • 4x² + x - 14

<u>Find its roots:</u>

  • x = (- 1 ± √(1 - 4*4*(-14)) / 8
  • x = (- 1 ± √225) / 8
  • x = ( -1 ± 15) / 8
  • x₁ = (- 1 + 15)/ 8 = 14/8 = 7 / 4
  • x₂ = (- 1 - 15) / 8 = - 16/2 = - 8

<u>The factors:</u>

  • (x - x₁)(x - x₂) =
  • (x - 7/4)(x + 8) =
  • 1/4(4x - 7)(x + 8)

Option C is the correct one

Aleksandr [31]2 years ago
3 0

Answer:

The answer is

4

−

7

)

(

+

2

)

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Nuetrik [128]
Mean = (89 + 90 + 87 + 95 + 86 + 81 + 102 + 105 + 83 + 88 + 91 + 79)/12 = 1,076/12 = 89.67

a.) 95% C.I. = 89.67 + or - 1.96(0.23) = 89.67 + or - 0.4508 = 89.22 to 90.12

b.) 99% C. I = 89.67 + or - 2.575(0.23) = 89.67 + or - 0.5923 = 89.08 to 90.26
8 0
3 years ago
Please i need an answer urgently. Sum of 3 terms are 252, first term is 192. Find common ratio
Viefleur [7K]

Answer:

r=\frac{1}{4}\\\\r=-\frac{5}{4}

Step-by-step explanation:

<u>Geometric Sequences</u>

The geometric sequence is given as:

a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}

Where n is the number of the term, n≥1, and r is the common ratio.

The sum of n terms of the geometric sequence is given by:

\displaystyle S_n=a_1\frac{r^n-1}{r-1}

We are given: S3=252, a1=192, thus substuting:

\displaystyle 252=192\frac{r^3-1}{r-1}

Dividing by 12:

\displaystyle 21=16\frac{r^3-1}{r-1}

Recall that:

r^3-1=(r-1)(r^2+r+1)

Substituting:

\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}

Simplifying:

21=16(r^2+r+1)=16r^2+16r+16

Rearranging:

16r^2+16r+16-21=0

16r^2+16r-5=0

Rewriting:

16r^2-4r+20r-5=0

Factoring:

4r(4r-1)+5(4r-1)=0

(4r-1)(4r+5)=0

Solving:

r=\frac{1}{4}\\\\r=-\frac{5}{4}

Both solutions are valid

6 0
3 years ago
Can someone please help me?
vekshin1
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jolli1 [7]

Answer:

300 seconds

Step-by-step explanation:

First, you have to know how much half a minute is. Half a minute is 30 seconds.

Second, you multiply 30 by 10 because he answered 10 questions.

30 * 10 = 300

So your answer is  300 seconds

Lastly, have a great day! :)

7 0
3 years ago
what does it mean when the will says tomorrow it's ashes will be scattered to the four winds in the westing game
katovenus [111]

Answer:

In the document, Westing names the sixteen heirs present as his “nieces and nephews” and says that tomorrow his ashes “will be scattered to the four winds.” He then asserts that his life has been taken by one of his heirs, and he promises that the heir who finds something will receive the inheritance

Step-by-step explanation:

 

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2 years ago
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