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2 years ago

Please Help!! What should be done 10x ^ 2 - 8x to create a perfect square ?

Mathematics

1 answer:

Pani-rosa [81]2 years ago

4 0

Answer: 10x^2-8x+16

Step-by-step explanation:

Use the formula (b/2)^2

then plug in values:

(-8/2)^2 = -4^2 = 16

ans: 10x^2-8x+16

hope this helps

You might be interested in

Find the slope intercept (9,5),(7,-11) y=

grin007 [14]

Answer:

y=8x-67

Step-by-step explanation:

So the question is what is the equation for the following two coordinate points?

Well to start off what is the formula? The formula is called the linear equation. Which is y=mx+b. What does these letters or "variables" mean or represent?! Welp, m stands for the slope, which is "Δy over Δx." Some people call say "the change of y over x." I call it the rise over run. So it is saying y over x. The b in the linear equation is the y-intercept. The y-intercept is when the line crosses the y-axis.

With that being said, let's find the slope. But how? Well with the Δy over Δx. The formula is y₂-y₁ over x₂-x₁. With the two coordinate points we can label them.

y₂=5

y₁=(-11)

x₂=9

x₁= 7

Now let set it up into the equation of y over x

Slope = 5- (-11) = 5 + 11 = 16 = 8

9-7 9-7 2

So we now have the slope! Which is 8! So put that into the linear equation!

y=8x+b

Next, we need to find b, the y-intercept! How do we do that well, we can figure it out by one of the coordinate points! Let use the (7, -11) point for example! Remember, x= 7 and y= (-11)

(-11) = 8(7) + b

(-11) = 56 + b

-56 -56

-67 = b

We now have b, which is negative 67! So we need to put all the information we have found into the linear equation!

y=8x-67

6 0

4 years ago

Please help me out with thissss

vova2212 [387]

Answer:

Step-by-step explanation:

From table 1,

f(x) = bˣ

For x = -1,

f(-1) = 0.5

0.5 = (b)⁻¹

b = $\frac{1}{0.5}$

b = 2

For x = 1.585,

f(1.585) = 3

3 = $2^{1.585}$

3 = $2^{1}\times2^{0.585}$

$2^{0.585}=\frac{3}{2}$

$2^{0.585}=1.5$

For x = 2.585,

f(2.585) = $2^{2.585}$

= $2^{2}\times 2^{0.585}$

= 4 × 1.5 [Since, $2^{0.585}=1.5$ ]

= 6

From table 2,

g(x) = $\text{log}_b(x)$

For x = 0.5,

g(0.5) = -1

-1 = $\text{log}_b(0.5)$

b⁻¹ = 0.5

b = 2

For x = 2,

g(2) = 1

1 = $\text{log}_2(2)$

For x = 6,

g(6) = 2.585

2.585 = $\text{log}_2(6)$

2.585 = $\text{log}_2(2\times 3)$

2.585 = $\text{log}_2(2)+\text{log}_2(3)$

2.858 - 1 = $\text{log}_2(3)$

$\text{log}_2(3)=1.585$

For x = 3,

g(3) = $\text{log}_2(3)$

g(3) = 1.585

8 0

3 years ago

Suppose a random sample of n measurements is selected from a binomial population with probability of success p = .39. Given n =

Oksi-84 [34.3K]

Answer:

The answer is below

Step-by-step explanation:

a) Given that the number of sample (n) = 300, therefore since n > 30, the distribution of the sample means is going to be normally distributed.

b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.

$\mu_x=\mu=np=300*0.39=117$

c) The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

$\sigma_x=\sqrt{np(1-p)} =\sqrt{300*0.39(1-0.39)} =8.44$

8 0

3 years ago

Ramesh examined the pattern in the table.

nikdorinn [45]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the 38th term of 459,450,441,..

galina1969 [7]

Answer:

The 38th term of 459,450,441,.. will be:

$a_{13}=351$

Step-by-step explanation:

Given the sequence

$459,450,441,..$

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

computing the differences of all the adjacent terms

$450-459=-9,\:\quad \:441-450=-9$

$d=-9$

The first element of the sequence is

$a_1=459$

so the nth term will be

$a_n=-9\left(n-1\right)+459$

$a_n=-9n+468$

Putting n=38 to find the 38th term

$a_n=-9n+468$

$a_{13}=-9\left(13\right)+468$

$a_{13}=-117+468$

$a_{13}=351$

Therefore, the 38th term of 459,450,441,.. will be:

$a_{13}=351$

3 0

3 years ago