Which expression is equivalent to x6 - 16x^2?
o x2(x - 2)2(x2 + 4)
o x2(x - 2)2(x + 2)2
o x2(x - 2)(x + 2)(x2 + 4)
o x2(x - 4)(x2 + 4)

Answer:

  60

Step-by-step explanation:

We can use 5·7 = 35 as a common denominator for these fractions. This tells us the fraction of red chairs is 2/5 = 14/35, and the fraction of blue chairs is 3/7 = 15/35. The rest of the (35 -14 -15)/35 = 6/35 chairs are yellow. This means the ratio of chair colors is ...

  red : blue : yellow = 14 : 15 : 6

Multiplying this by 4 will give 24 yellow chairs:

  4·14 : 4·15 : 4·6 = 56 : 60 : 24 . . . . red : blue : yellow chairs.

60 chairs are blue.

Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.  

The mean of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem:

Then:

[tex]E(X) = np = 200(0.06) = 12[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36[/tex]

The mean of X is of 12, with a standard deviation of 3.36.

A similar problem is given at https://brainly.com/question/12473640

Answer:

0% chance

Step-by-step explanation:

there are no green marbles

Marbles no

There is no green marbles

So it will never occur(impossible event)

Answer:

29+8x

Step-by-step explanation:

5+8(3+x)

Expand 8(3+x)

= 5+24+8x (add the numbers)

= 29+8x

The value of x and y are 5/6 and 8/5 respectively

Given the systems of equations

Solving the equations using the elimination method

12x + 15y = 34

-18x + 15y = 9

Subtract both expressions:

12x-(18x) = 34 - 9

12x+18x = 25

30x = 25

x = 5/6

Substitute x = 5/6 into equation 1 to have:

12x + 15y = 34

12(5/6) + 15y = 34

10 + 15y = 34

15y = 24

y = 8/5

Hence the value of x and y are 5/6 and 8/5 respectively

Learn more on simultaneous equations here: https://brainly.com/question/185757

Answer:

This is essentially a rule in the unit of radicals, where n✔️X^m = X^m/n. If the value of m is equal to n, as in 2✔️3^2 it would simply be 3^2/2 which is nothing but 3^1 = 3. Basically, the m value can be greater than n and or less than n, but if it is equal the m and n values cancel out. Hope this helped <3

Answer:

22.5 centimetres per second.

Step-by-step explanation:

To get the awnser for this you do the highest length of centimetre which is 90 divided by how many seconds it took to get to 90 centimetres, then we do 90÷4 which equals to 22.5, so the awnser is 22.5 centimetres per second. Hope this helps.

Answer:

A) 32

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer: All of the them except for the last relation.

Step-by-step explanation: For a relation to be a function, it can have y-values repeat but not x-values. In the last relation, you have (6,-6,), (-3,12), (6,-1), (-8,13). Notice that the x-value of 6 repeats 2 times in this relation. You can graph this relation and use the vertical line test  and you will notice that it will touch the graph more than one time. Therefore, relations 1-4 represents functions and relation 5 does not.

Hope this explanation helps.

Answer:

One solution

Step-by-step explanation:

First, organize the equations by moving y to the left hand side:

5x + 2y = 6, subtract 5x from both sides and we get: 2y=6-5x

3y = 2x + 9 is already done

Next, set the coeficcient of both y values equal to the least common multiple of 2 and 3 which is 6:

2y=6-5x multiply both sides by 3, 6y = 18-15x

3y=2x+9 multiply both sides by 2, 6y = 4x+18

Substitute y on both sides and we get 18-15x=4x+18

Simplify that and you get 19x=0, x equals 0, so there is one solution

Answer:

-2

Step-by-step explanation:

f(x)≈ -0.86x+13.5

  putting x=18 in f(x), we get

    f(x)≈ -0.86×18+13.5

 ⇒      f(x)≈ -15.48+13.5

 ⇒      f(x)≈ -1.98

 ⇒      f(x)≈ -2

Answer:B

Step-by-step explanation:

The answer is B also known as -2

Why? Because each input maps to exactly one output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.

Answer:

5

Step-by-step explanation:

3/5 times 7 is 4 1/5 and you cant buy 1/5 of a can so you have to round up to 5

Answer:

15km

Step-by-step explanation:

45mins = 25km

1 min =25/45

=5/9

27mins=5/9×27

=15km

Answer:

[tex]x\approx4.5[/tex]

Step-by-step explanation:

In relation to ∠U, we are given the triangle's opposite side and adjacent side. Therefore, we should use the tangent function to determine the opposite side:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(34^\circ)=\frac{x}{6.7}[/tex]

[tex]6.7tan(34^\circ)=x[/tex]

[tex]x=6.7tan(34^\circ)[/tex]

[tex]x\approx4.5[/tex]

Given two points, the equation of the line may be determined by,

y - y1 = ((y2 - y1) / (x2 - x1))(x - x1)

Substituting the given values,

y - 7 = ((9 - 7) / (6 - 3))(x - 3)

Simplification will yield to an answer of,

y = 2x/3 +5

Therefore, the answer is the second choice.

Answer:

y=2/7 x+38/7

Step-by-step explanation:

equation of the line y =ax+b;

a = 4-6/ -5-2

Answer:

C. 14 and 2/3

Answer:

C

Step-by-step explanation:

17 - 2 1/3

17 -2 -1/3

15 -1/3

14 2/3

If 1/4 < x/7 < 1/3, then

7/4 < x < 7/3

1.75 < x < 2.333…

so that x = 2.

Answer:

Step-by-step explanation:

Answer:

Triangle

sum of interior = 180

one interior = 60

all triangles will have a sum of 180

and since there are only three angles in a triangle that means 180/3 = 60 degrees will be in one angle.

An expression can either be positive, negative or none.

The sign of the expression is neither positive nor negative.

The fraction expression is given as:

[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right)[/tex]

Open the bracket

[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{23}{45}-\dfrac{23}{45}\right[/tex]

Take LCM

[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{23 - 23}{45}[/tex]

Simplify the numerator

[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{0}{45}[/tex]

Divide 0 by 45

[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = 0[/tex]

0 is neither positive nor negative.

Hence, the sign of the expression is neither positive nor negative.

Read more about signs of expressions at:

https://brainly.com/question/11388301

Answer:

Step-by-step explanation:

Slope intercept form:

Take two points from the graph:

Find the slope:

Find the y-intercept using point (2, 1) and the equation above:

The line is:

Answer:

Y = 2x - 3 or Y = 8/3x - 3

Step-by-step explanation:

Y = mx + b

we have a y intercept of -3 since the graph crosses the y axis only at -3 and it heads to y = 3 starting from the y intercept.

and thus we are 5 units away from 3 which is m = a/c = 8/3

m = 8/3

y = 8/3x - 3

it's either this or we'll simply plot the final and initial positions of x and y respectiveky. so m = 3-1/3-2 = 2/1 = 2

and so the equation would turn out to be -

y = 2x -3

Answer:

Option 1

Step-by-step explanation:

To find the slope divide Mass (y) by Volume (x)

Answer:

im just answering because im doing a challenge.

Step-by-step explanation:

[tex]f(x) = -7 \\\\\implies 3x -1 = -7\\\\\implies 3x = -7 +1 \\\\\implies 3x = -6\\\\\implies x = - \dfrac 63 =-2[/tex]