f(×)=3×2 - 2 and g(×) = 2×+4 , find (f-g)(×)

The distance between points W and X is exactly 5 units.

To know this, we need to see between which pair of two points we have 5 units.

By looking at the number line, we can see that the pair of points that is 5 units apart is W and X.

We have:

Taking the difference, we get: X - W = -3 - (-8) = 5

If you want to learn more about distances:

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Answer:

A

Step-by-step explanation:

No solution because the line will never intersect each other (cuz the gradient is the same)

Answer:

11.8%

Step-by-step explanation:

Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.

Let p = probability of success = 30% = 30/100 = 0.3

q = probability of failure = 1-p = 1-0.3 = 0.7

Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.

That would be;

P(X = 0) = 6C0 p^0 q^6

6C0 is pronounced six combination zero

= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649

This is approximately 0.1176

If we convert this to percentage we have 11.76%

But we want our answer rounded to the nearest tenth of a percent and that is 11.8%

Answer:

mateweew ans is 12

The mode is the value that appears most frequently in a data set.

and 12 repeats twice other once so anw is obv 12

Answer: 12

Step-by-step explanation:

Answer:

one

Step-by-step explanation:

Zero has one square root which is 0.

Negative numbers don't have real square roots since a square is either positive or 0.

Answer:

d = 3.46 units

Step-by-step explanation:

The diagram is a rectangular prism.

volume of a rectangular prism = Length × width × height

height = 5.2 units

volume = 99 units³

length = 5.5 units

width = d

Now we need to find the width which is d

volume = L × w × h

99= 5.5 × d × 5.2

99 = 28.6d

then u divide both sides by 28.6

d = 99/28.6

d = 3.4615384615

d = 3.46 units

PLz mark brainliest!

===================================

Explanation:

Start with the parent function [tex]y = |x|[/tex]

Replacing x with x-1 shifts the graph 1 unit to the right

Tack a -1 at the end to get [tex]y = |x-1|-1[/tex] which will shift everything down 1 unit.

The vertex started at (0,0) and moved to (1,-1)

Answer and explanation:

A negative correlation means a relationship between two variables whereby each variable affects the other such that an increase in one variable means a decrease in the other and vice versa. This is the situation with the correlation graph/scatter plot of Dr. Hotchkins: An increase in stress would cause a decrease in emotional well being and vice versa

An Outlier is a data point on the scatter plot that does not fall into the pattern of the correlation graph. From the above, 4 points are outliers: extremely high points on stress and emotional well being. These points would affect (increase or decrease) the correlation coefficient depending on where they fall in the pattern. In this case there are 4 outliers out of 60 data points and we know that the more outliers there are the more effect they have on the correlation coefficient and vice versa(also depending on where the outlier is on the scatter plot)

[tex]\\ \sf\longmapsto 7x + 2y {}^{3} - 4xy + 3x - 2xy {}^{3} + 7xy + 2xy - 5x + {6y}^{3} \\ \\ \sf\longmapsto 2y {}^{3} + 6 {y}^{3} - 2xy {}^{3 } + 7x + 3x - 5x - 4xy + 7xy + 2xy \\ \\ \sf\longmapsto 8y {}^{3} - 2xy {}^{3} + 5x + 5xy \\ \\ \sf\longmapsto 2y {}^{3} (4 - x) + 5x(1 + y)[/tex]

Answer:

360°

Step-by-step explanation:

The figure is irregular which means it must be completely rotated to have matching sides and vertices. A full rotation is equal to 360°.

Answer:

B' - (3,1)

C' - (3,8)

D' - (6,-1)

Step-by-step explanation:

Answer:

(2,-4)

Step-by-step explanation:

We subtract 5 to the y-coordinate, so we have (2,-4)

Answer:

It's the second option

Step-by-step explanation:

Graph for -(x+3)(x+1)

The graph of f(x) = -(x + 3)(x + 1) is the option B.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given function is,

f(x) = -(x + 3)(x + 1)

Simplifying,

f(x) = - (x² + 3x + x + 3)

f(x) = -x² - 4x - 3

This is a quadratic function, the graph of which is a parabola.

Leading coefficient is negative, so the parabola opens downward.

Options are either A or B.

x coordinate of the vertex of a parabola of equation ax² + bx + c is -b/2a.

Here x coordinate = -(-4) / (2 × -1) = -2

The vertex of first graph is (2, 1) and that of second graph is (-2, 1).

The correct option is second graph.

Hence the second graph is the graph of the given function.

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Answer:

B

Step-by-step explanation:

z^2 - 6z - 27 = 0

(z - 9)(z+3) = 0

z - 9 = 0 z + 3 = 0

z = -3, 9

Answer:

75 cm

Step-by-step explanation:

∅=90° , r = 21 cm

Arc length= (2πr∅)/360

=(2π×21×90)/360

=33 cm

Perimeter= arc length + 2(radius)

=33+2(21)

=33 + 42

= 75 cm

Answer:

[tex]\Large \boxed{-10x-50}[/tex]

Step-by-step explanation:

[tex]-10(x+5)[/tex]

Distribute -10 to the terms in the brackets.

[tex]-10(x)-10(5)[/tex]

[tex]-10x-50[/tex]

Answer: -10x - 50

Step-by-step explanation:

Distribute -10 to both terms.

-10 * x = -10x

-10 * 5 = -50

The equation now looks like this:

-10x - 50

You have nothing to simplify, so you're finished.

Hope this helps!

Answer:

answer what

Step-by-step explanation:

hihihi

hihi

hi

hi

vhi

hi

hi

hi

hihi

hi

hi

hi

hi

hi

Answer:

3250

Step-by-step explanation:

so for the first and 2nd show, the attendance is 2580 and 2920.

The average of both these numbers is 2750

the if the third show had 3000 people, the average attendance would only be 2875.

We need the average number to be 3000.

2750 is 250 less than 3000, so the other number must be 250 more.

3250 is how many people should go to the last show.

=====================================

Explanation:

We have 2580 people attend the first show and 2920 attend the second. So far, that's 2580+2920 = 5500 people. Add on another x people to get 5500+x, which represents the sum of all three days attendance figures. Divide this sum by 3 to get the average attendance

average attendance = (sum of individual attendance values)/(number of days)

average attendance = (5500+x)/3

So that's why (5500+x)/3 goes in the first box. The parenthesis are important to ensure that you divide all of "5500+x" over 3. If you just wrote 5500+x/3, then the computer would think you just want to divide x only over 3.

----------------

We set (5500+x)/3 equal to 3000 as we want the average of the three days to be 3000

(5500+x)/3 = 3000

5500+x = 3*3000

5500+x = 9000

x = 9000-5500

x = 3500

We need 3500 people to show up on day 3 so that the average of all three days is 3000.

3500 goes in the second box.

----------------

Check:

The figures for the three days are 2580, 2920, and 3500

They add to 2580+2920+3500 = 9000

Which divides to 9000/3 = 3000, which is the average we're after. So the answer is confirmed.

Answer:

[tex]4(6a + 2b^2) - 1/3 (27b^2 - 15a)[/tex]

a = -2

b = 3

[tex]4\left(6\left(-2\right)+2^2\right)-1/3\left(27\left(3\right)^2-15\left(-2\right)\right)[/tex]

Follow the PEMDAS order of operations:-

[tex]4\left(6\left(-2\right)+2^2\right)[/tex]

calculate within Parentheses

[tex]6\left(-2\right)+2^2[/tex]

[tex]2^{2} =4[/tex]

[tex]6(-2)=-12[/tex]

Add:-

[tex]-12+4=-8[/tex]

[tex]4\left(-8\right)-1/3\left(27\left(3\right)^2-15\left(-2\right)\right)[/tex]

calculate within Parentheses:-

[tex]27\left(3\right)^2-15\left(-2\right)[/tex]

[tex](3)^{2} =9[/tex]

[tex]27*9=243[/tex]

[tex]243-15\left(-2\right)[/tex]

[tex]15(-2)=-30[/tex]

[tex]243-\left(-30\right)[/tex]

[tex]=273[/tex]

[tex]4\left(-8\right)-1/3\cdot \:273[/tex]

Multiply:-

[tex]4\left(-8\right)=-32[/tex]

[tex]-32-1/3\cdot \:273[/tex]

[tex]1/3*273=91[/tex]

[tex]=-32-91[/tex]

[tex]=-123[/tex]

OAmalOHopeO

Answer:

91.125

Step-by-step explanation:

Each term is multiplied by 1.5 to get the next term.

12,18,27,40.5, 60.75, 91.125

Hope that helped!!! k

Answer:

91.125

Step-by-step explanation:

We know that this is a geometric sequence. By definition, this means that each subsequent term divided by the previous one is a common ratio r.

Here, divide 18 by 12 to get:

18/12 = 3/2 = 1.5

Divide 27 by 18 to check if it's also 1.5:

27/18 = 3/2 = 1.5

Indeed, the common ratio is 1.5. Now, we simply multiply 27 by 1.5 to get the 4th term:

27 * 1.5 = 40.5

Multiply 40.5 by 1.5 to get the 5th term:

40.5 * 1.5 = 60.75

Finally, multiply 60.75 by 1.5 to get the 6th term:

60.75 * 1.5 = 91.125

Our answer is thus 91.125.

~ an aesthetics lover

Answer:

[tex]\huge\boxed{Option \ 2:\left[\begin{array}{ccc}6&1\\1&5\end{array}\right]}[/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}1&0\\-1&3\end{array}\right] +\left[\begin{array}{ccc}5&1\\2&2\end{array}\right][/tex]

Adding both the corresponding elements

[tex]\left[\begin{array}{ccc}1+5&0+1\\-1+2&3+2\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}6&1\\1&5\end{array}\right][/tex]

Answer:

A)

Step-by-step explanation:

[tex](a^{m})^{n} = a^{mn}\\\\x^{3}*(x^{3}*y^{2})^{2}=x^{3}*(x^{3})^{2}*(y)^{2}\\\\\\=x^{3}*x^{3*2}*y^{2}\\\\\\=x^{3}*x^{6}*y{2}\\\\\\=x^{3+6}*y^{2}\\=x^{9}y^{2}[/tex]

Answer:

no I can't but I hope someone can

Answer:

30.6 cm

Step-by-step explanation:

length times width gives you the area of a normal 2d triangle

G(f(10))

First solve f(x) by replacing x with 10:

F(x) = x-4 = 10-4 = 6

Now replace x in g(x) with 6

G(x) = 6-x = 6-6 = 0

So g(f(10)) = 0

Answer:

If... 6.4 inches : 16 dollars

Then... 32 inches = 80 dollars.  

And, 1 inch of track = 80/32 dollars.

80/32 = 2.5.

So, the answer is: 1 inch of track costs 2.5 dollars.

The  constant of proportionality is $2,50.

The equation used to represent direct proportionality is: y = kx

Where:

y = dependent variable

x = independent variable

k = constant of proportionality

Here, the dependent variable is the cost of the track. The independent variable is the length of the tracks.

$16 = 6.4k

k = 16 / 6.4 = $2.5

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Answer:

First we need the formula to solving a cone :

[tex]V=\pi r^2\frac{h}{3}[/tex]

We substitute pi as 3.14!

62.8 is the answer

Why?

3.14 x 5 squared x 12/3 is 62.8

Therefore the answer is 62.8

Answer:

m∠U = 103° and m∠TRS = 6°

Step-by-step explanation:

In the given circle O,

Since, RS║VU, and VR is a transverse,

Therefor, m∠V + m∠R = 180° [Consecutive interior angles]

m∠R + 103° = 180° [m∠R = 103° given]

m∠R = 180° - 103°

m∠R = 77°

Since m∠R = m∠VRT + m∠TRS

77° = 71° + m∠TRS

m∠TRS = 77° - 71° = 6°

Quadrilateral RTUV is a cyclic quadrilateral.

Therefore, m∠U + m∠R = 180°

m∠U + 77° = 180°

m∠U = 180° - 77° = 103°