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sladkih [1.3K]
3 years ago
8

1. How many solutions are there for the equation? x2 + 16 = 8x (Points : 1)

Mathematics
2 answers:
Dmitrij [34]3 years ago
4 0
x^2 + 16 = 8x\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)(x-4)=0\\\\(x-4)^2=0\ \ \ \Leftrightarrow\ \ \ x-4=0\ \ \ \Leftrightarrow\ \ \ x=4\\\\ Ans.\ One\ solution
defon3 years ago
3 0
Every equation that has an ' x² ' in it has two solutions.

If it's a perfect square, then the solutions are equal, and they look like only 1.

Both solutions to this equation are [ x = 4 ] .
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62.4% of what is 17.16?
Maksim231197 [3]
To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 17.16 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 17.16 is 100%, so we can write it down as 17.16 = 100%.

4. We know, that x is 62.4% of the output value, so we can write it down as x=62.4%

5. Now we have two simple questions:

1) 17.16 = 100%

2) x=62.4%

Where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

17.16÷x=100%÷62.4%

6. Now we just have to solve the simple equation, and we will get the  solution we are looking for.

7. Solution for what is 62.4% of 17.16

17.16÷x=100/62.4%

(17.16÷x)×x=(100÷62.4%)×x

17.16=1.60256410256×x

(1.60256410256) to get x

17.16÷1.60256410256=x

10.70784=x

x=10.70784

Now we have:
62.4% of 17.16=10.70784

So 10.70784 is your answer

Hope this  helps :)



3 0
4 years ago
Read 2 more answers
The deciles of any distribution are the points that mark off the lowest 10% and the highest 10% of the distribution. the deciles
Levart [38]

(a) We need to figure out the deciles for a normal distribution curve in this part.

In order to do so, we need to find the z score corresponding to probability 0.10 and 0.90 on the normal distribution curve.

Upon looking at the normal distribution table, we can see that the probability P = 0.10 corresponds to a z score of -1.28 and probability P = 0.90 corresponds to a z score of 1.28.

Therefore, deciles are -1.28 and 1.28 for a normal distribution curve.

(b) In this part, we are given that mean height is 69.5 inches and standard deviation in height is 2.7 inches. Therefore, we can find the deciles using the z score formula as shown below:

z=\frac{x-\mu}{\sigma }\Rightarrow \pm 1.28=\frac{x-69.5}{2.7}\\
x-69.5 = \pm 3.456\Rightarrow x=69.5\pm 3.456\Rightarrow \\
x=66.044,72.956

Therefore, the required deciles are 66.044 and 72.956

7 0
3 years ago
2logb - 3logb = log8b - log4b​
Elden [556K]

Answer:

b=1/2

Step-by-step explanation:

2logb - 3logb = log8b - log4b

logb^{2} - logb^{3} = log8b - log4b

log(\frac{1}{b}) = log(2)

∴1/b = 2

∴b = 1/2

8 0
3 years ago
Ann is maling packages. Each small package costs her $2.80 to send. Each large package costs her $3.20. How much will it cost he
faltersainse [42]

for the small 11.20$

for the big 19.20$

6 0
3 years ago
Read 2 more answers
Nine subtracted from the product of 4 and a number is greater than -19
krok68 [10]

Answer:What’s the question-

Step-by-step explanation:9-4 and greater than -19? Oh 5 because 9-4=5 but it’s greater than -19 because -19 is a negative number.

5 0
2 years ago
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