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3 years ago

9(2 – 3x) – 29 = 8x - (x - 23)

Mathematics

2 answers:

Nadya [2.5K]3 years ago

6 0

= 18-27x-29= 8x-x+23
= -11-27x= 7x+23
= -27x-7x= 23+11
= -34x= 34
= x= -1

Firlakuza [10]3 years ago

4 0

X=-1
18-27x-29=8x-x+23)
-11-27x=7x+23
-27x-7x=23+11
-34x=34
X=-1

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Lines a and b are perpendicular. The equation of line a is y=1/3x+3. What is the equation of line b

kykrilka [37]

Perpendicular lines have slopes that are negative reciprocals to each other, that is, if one slope is a/b, the other is -b/a
in this case, the given slope is 1/3, so the other line's slope is -3/1, which is -3
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4 years ago

50PTS! Describe the vertical asymptotes and holes for the graph of y = x-5/x^2 -1

Diano4ka-milaya [45]

Ok

first of all, for q(x)/p(x)
if the degree of q(x) is less than the degree of p(x),then the horizontal assemtote is 0

then simplify
any factors you factored out is now a hole, remember them

to find the vertical assemtotes of a function, set the SIMPLIFIED denomenator equal to 0 and solve

so

y=(x-5)/(x^2-1)
q(x)<p(x)
horizontal assemtote is y=0

no factors to simplify so no holes

set denomenator to 0 to find vertical assemtote
x^2-1=0
(x-1)(x+1)=0
x-1=0
x=1

x+1=0
x=-1

the horizontal assemtotes are x=1 and -1

3 0

3 years ago

Read 2 more answers

If 2x + 5y = 21 and x + y = 3, then what is the solution

Viefleur [7K]

2x+5y=21, x+y=3
y=3-x
2x+5y=21
2x+5(3-x) =21
2x+15-5x=21
2x-5x+15=21
-3x+15=21
-3x=21-15
-x=6/3
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3 years ago

According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h

shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 8 mortgages

r = number of success = exactly one

p = probability of success which in our question is % of U.S.

mortgages those were delinquent in 2011, i.e; 8%

LET X = Number of U.S. mortgages those were delinquent in 2011

So, it means X ~ $Binom(n=8, p=0.08)$

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

P(X = 1) = $\binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}$

= $8 \times 0.08 \times 0.92^{7}$

= 0.357

Hence, the probability that exactly one of these mortgages is delinquent is 0.357.

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3 years ago

M N. M (8x+17) (12x-39)

Ulleksa [173]

Answer:

Here it is a parallelogram so opposite angles of parallelogram are equal. 

Step-by-step explanation:

so

8x +17 = 12x - 39

17+39 = 12x - 8 x

4x = 56

Therefore x = 14

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3 years ago