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JulsSmile [24]
3 years ago
8

Solve the equation for all values of x by completing the square. x2 + 8.0 + 15 = 0

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0

Answer:

x= -3

x= -5

Step-by-step explanation:

x^2 + 8x + 15 = 0

find which 2 numbers when multiplied equal 15 and when added equal 8

they are 3 and 5

(x+3)(x+5)

x+3 =0

x+5=0

x= -3

x= -5

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Three machines are used to produce nails. the table displays the total number of nails produced by the three machines over diffe
mamaluj [8]

Answer:

Step-by-step explanation

they answer would be a whole number because you are multiplying by one thousand

6 0
3 years ago
50 POINTS! IM SO CONFUSED I'LL MARK BRAINLIEST!!!!
yan [13]

The function of x is \bold{\frac{-1x}{2}}.

<u>SOLUTION:</u>  

Given that, we have to write a linear function f with function of (-4) =2 and function of 6=(−3).

Now, let the linear function be \text{function of x}=a x+b

Then, function of -4 = a(-4)+b \rightarrow 2=-4 a+b \rightarrow b=2+4a \rightarrow (1)

And, function of 6 = a(6)+b \rightarrow-3=6 a+b \rightarrow b=-3-6a \rightarrow (2)

On equating (1) and (2) to find the value of a,

2+4a=-3-6a

On grouping the common terms,

4a+6a=-3-2 \rightarrow 10a=-5 \rightarrow a=\frac{-5}{10}

\Rightarrow a=\frac{-1}{2} \rightarrow (3)

On substituting the value of (3) in (1) we get,

b=2+4a \rightarrow b=2+4\times\frac{-1}{2} \rightarrow b=2+\frac{-4}{2} \rightarrow b=2+(-2)

\Rightarrow b=0

So, the function of x = \frac{-1x}{2}+0

4 0
3 years ago
Please help with questions 1d and e
Aleksandr-060686 [28]

(d) \frac{75}{2}, \frac{75}{4}, \frac{75}{8}

(e) 68, 82, 96

(d) note that the terms have a common ratio ( r )

r = \frac{300}{600} = \frac{150}{300} = \frac{1}{2}

to obtain any term in the sequence, multiply the previous term by \frac{1}{2}

75 × \frac{1}{2} = \frac{75}{2}

\frac{75}{2}× \frac{1}{2} = \frac{75}{4}

\frac{75}{4} × \frac{1}{2} = \frac{75}{8}

(e) note that the terms have a common difference (d )

d = 26 - 12 = 40 - 26 = 54 - 40 = 14

to obtain any term in the sequence, add 14 to the previous term

54 + 14 = 68

68 + 14 = 82

82 + 14 = 96

3 0
3 years ago
Michael reads 12 pages of a book in 18 minutes. If he reads at the same rate, how many pages will he read in 37 minutes?
Irina-Kira [14]

Answer:

Around 25 pages / 1.5 minute(s)

Step-by-step explanation:

18 / 12 = 1.5 minutes per paper.

So, 18 + 18 = 36 + 1 = 37 minutes

12 + 12 = 24 + 1 = 25

37 / 25 = 1.5

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3 years ago
Write 3 1/8 as a decimal.
Alenkinab [10]
No it is not. It is a fraction
5 0
4 years ago
Read 2 more answers
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