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ddd [48]
2 years ago
7

Find the solutions of the quadratic equation x^2 - 10x + 14 = -4 by completing the square​

Mathematics
1 answer:
Anna [14]2 years ago
5 0

Answer:

x1=-(square)7+5 x2=(square)7+5

You might be interested in
angle EFG and angle GFH are a linear pair, m angle GFH= 2n+38 and m angle GFH=2n+38. what are m angle EFG and m angle GFH
motikmotik

Answer:

Part 1) m∠EFG=94°

Part 2) m∠GFH=86°

Step-by-step explanation:

we know that

m∠EFG+m∠GFH=180° -----> by linear pair (given problem)

we have

m∠EFG=3n+22

m∠GFH=2n+38

substitute the values

(3n+22)°+(2n+38)°=180°

Solve for n

(5n+60)=180

5n=180-60

5n=120

n=24

<em>Find the measure of angle EFG</em>

m∠EFG=3n+22

substitute the value of n

m∠EFG=3(24)+22=94°

<em>Find the measure of angle GFH</em>

m∠GFH=2n+38

substitute the value of n

m∠GFH=2(24)+38=86°

5 0
3 years ago
Read 2 more answers
Analyze the graph below to identify the key features of the logarithmic function. The x-intercept is y = 2, and the graph approa
Mamont248 [21]

Answer:

The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.

Step-by-step explanation:

The given graph is a transformed logarithm function.

The graph is obtained by shifting the parent function three units left.

The vertical asymptote is now

x =  - 3

The x-intercept is where the graph intersect the x-axis, which is x=-2

Therefore the last option is correct.

7 0
3 years ago
A birthday celebration meal is $ 47.40 including tax, but not the tip. Find the total cost if a 15% tip is added to the cost of
Afina-wow [57]

Answer:

$54.51

Step-by-step explanation:

an easier way to do this is simply by multiplying 47.40x115%, which is 54.51.

another way to do this is by multiplying 47.40x15%, which is 7.11, then you'll have to added to 47.4, which gives you the same answer of 54.51

6 0
3 years ago
Helppppppppppppppppppppppppp
kumpel [21]
Answer:
x = 10

Explanation:
Note the following rules before we begin:
2 ln(a) = ln (a²)
ln (a) + ln (b) = ln (ab)

Now, for the given:
ln(20) + ln(5) = 2 ln(x)
ln(20*5) = ln(x²)
ln(100) = ln(x²)

This means that:
100 = x²
Therefore:
either x = 10 .........> acceped
or x = -10 .........> rejected as no negatives are allowed within ln functions

Hope this helps :)
5 0
3 years ago
Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one
oksano4ka [1.4K]

Answer:

P(x \geq 6)=P(X=6)+P(X=7)

And we can find the individual probabilities:

P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358

P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517

And replacing we got:

P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=7, p=1-0.09=0.91)

The probability associated to a failure would be p =1-0.09 = 0.91

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(x \geq 6)=P(X=6)+P(X=7)

And we can find the individual probabilities:

P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358

P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517

And replacing we got:

P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875

6 0
3 years ago
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