answer it answer it answer it

Question 7: Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5)

Answer:

C) 6x³ - 24x² + 9x + 30

Step-by-step explanation:

(3x - 6)(2x² - 4x - 5)

3x • 2x² = 6x³

3x • -4x = -12x²

3x • -5 = -15x

-6 • 2x² = -12x²

-6 • -4x = 24x

-6 • -5 = 30

Combine terms.

6x³ - 12x² - 15x - 12x² + 24x + 30

Combine like terms.

6x³ - 24x² + 9x + 30

Learn with another example:

https://brainly.com/question/28001380

Answer:

Step-by-step explanation:

To find the equation of the line given a point and the gradient, the formula to use is

y - y1 = m(x - x1)

where

m is the gradient and

( x1 , y1) is the point

From the question

The point is (0 , 2)

The gradient is 3

Substitute the values into the above formula

That's

y - 2 = 3( x - 0)

y - 2 = 3x

The final answer is

Hope this helps you

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Explanation:

The translation notation T(-5, 3) looks like an ordered pair point, but it is not. Instead, it is a rule to tell you how to shift any point left/right and up/down. The first number is the left/right shifting as its done along the x axis. The negative value means we shift left, so we shift 5 units to the left. The positive 3 in the y coordinate place means we shift 3 units up.

We see this shifting happen when we go from

The translation notation T(-5, 3) is the same as writing [tex](x,y) \to (x-5, y+3)[/tex] which may be a more descriptive notation to use, and it would avoid confusion with ordered pair point notation.

Answer:

0.27 expressed in ratio form is 27:100

Step-by-step explanation:

Before we give Tommy the estimate of 0.27 probability in ratio form, we shall need to turn 0.27 to fraction

Mathematically, that would be 27/100

Now expressing this in ratio form, we will have 27:100

Answer:

Step-by-step explanation:

so lg and lq is the same

Answer:

(x + 3)(x - 5)

Step-by-step explanation:

Answer:

The two stadiums are approximately 3115.1 meters away from each other

Step-by-step explanation:

Since we can construct two right angle triangles between the blimp and the two stadiums as shown in the attached image, then the distance "x" between the two can be find as the difference between the right triangle legs that extend on the ground.

In order to find the size of such legs, one can use the tangent function of the given depression angles as shown below:

[tex]tan(75.2^o)=\frac{1100}{a} \\a=\frac{1100}{tan(75.2^o)}\\a\approx 290.6\,\,meters[/tex]

and for the other one:

[tex]tan(17.9^o)=\frac{1100}{b} \\b=\frac{1100}{tan(17.9^o)}\\b\approx 3405.7\,\,meters[/tex]

The the distance between the stadiums is the difference:

b - a = 3405.7  - 290.6 meters = 3115.1  meters

Answer:

perimeter = 28

Step-by-step explanation:

Tangents drawn to a circle from an external point are congruent, thus

AH = AB = 5

GH = GF = 2

EF = ED = 3

CB = CD = 4

Sum the 8 parts for perimeter of polygon ACEG

perimeter = 5 + 5 + 2 + 2 + 3 + 3 + 4 + 4 = 28

Answer:

19.504

Step-by-step explanation:

divide the mass value by 2.205

Hi there! Hopefully this helps!

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It decreased by 30 cents per week.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The average rate of change is calculated as:

the ratio of the sum of the change in the three weeks divided by the number of weeks. (The number of weeks being 3)

 Rate of change = [tex]\frac{-60 -10 -20}{3}[/tex].

(-60 + -10 + -20 = -90). So, to simplify it:

[tex]\frac{-90}{3}[/tex] = -30

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Incase you are confused:

Since the average rate of change is negative, this means that the stock price has decreased.

Answer:

b) 65.08

ii) 0.75

Step-by-step explanation:

x(Kg):                  62      63     64     65     66     67     68

Frequency(f):      1          5        11       15      10     6        2

           xf:           62       315    704    975  660  402    136

b) mean(X) = ∑xf/N = 3254/50 = 65.08

c) x - X :          -3.08    -2.08    -1.08    -0.08        0.92   1.92    2.92

   (x - X)²:        9.49     4.33      1.17       0.0064    0.85   3.69    8.53

ii) Standard deviation(S.D.):  √(∑(x - X)²/N = √(28.0664)/50 = √0.5613

 ∴ S.D.= 0.75

Answer:

2.4

Step-by-step explanation:

similar triangles

Therefore

4/CD = 5/3

CD= 12/5

Answer:

The terms 11, 9, 7, 5, 3, 1 have a common difference of -2 therefore, the correct option defining the relationship between the terms is

B) Common difference

Step-by-step explanation:

The common difference between a series of numbers is found by subtracting a number from the next number following and a common difference exists  when the difference between successive adjacent number pairs is the same

A sequence that has a common difference is an arithmetic sequence or arithmetic projection.

The given sequence, 11, 9, 7, 5, 3, 1, is an arithmetic sequence.

Answer:

Loudness (L) = 6.48 dB

Step-by-step explanation:

Given:

Loudness (L) = k / d² , where k = constant

So,

70 = k / 14²

k = 13,720

New distance = 46 feet

Find:

Loudness (L) = ?

Computation:

Loudness (L) = 13,720 / 46²

Loudness (L) = 13,720 / 2,116

Loudness (L) = 6.48 dB

Answer:

36

Step-by-step explanation:

6^2

This is 6 multiplied by itself 2 times

6*6

36

Answer:

[tex]T.S.A = \pi r(r+l)\\l = 10mm\\r = 7mm\\\\T.S.A = 3.14 \times 7(7 + 10)\\= 21.98(17)\\T.S.A = 373.66\\\\T.S.A = 373.66[/tex]

Here,

x+50°+70°= 180° [°.°Angle sum of triangle]

↪x= 180°-120°

↪x=60°

.°. x = 60°

Now,

Let z be the unknown angle of the second triangle

z+60°+50°=180° [°.° Angle sum of triangle ]

↪z=180°-110°

↪z=70°

. ° . z=70°

Then,

z+x+y= 180°

↪70°+60°+y=180°

↪y=180°-130°

↪y=50°

.°.y = 50°

Answer:

x = 60°, y = 50°

Step-by-step explanation

We know: the angles measures in a triangle add up to 180°.

(look at the picture)

z + 50 + 60 = 180

z + 110 = 180    subtract 110 from both sides

z = 70°

x + 50 + 70 = 180

x + 120 = 180         subtract 120 from both sides

x = 60°

Angles x, y, and z are on one side of a straight line. Therefore they add to 180°.

x + y + z = 180

60 + y + 70 = 180

y + 130 = 180         subtract 130 from both sides

y = 50°

Answer:

[tex]\huge\boxed{\sf The \ expression\ equals \ zero}[/tex]

Step-by-step explanation:

=> 5 + (-5)    [ + (-) = - ]

=> 5 - 5

=> Zero

Answer:

The answer is option A-The expression equals 0.

Step-by-step explanation:

Answer:

This is marked evenly from 0 to 100

This means that the total number of possible outcomes is:

D = 101

and the set of possible outcomes is:

O = {0, 1, 2, 3, ..., 100}

Now, the probability to geting between 42 and 72 seconds is equal to the quotient between the number of outcomes between 42 and 72, and the total possible outcomes.

The number of outcomes between 42 and 72 is:

72 - 42 = 30

Then the probability is:

P = 30/101 = 0.297

Then, out of the 100 players, we can expect that:

0.297*100 = 29.7 ≈ 30

(we rounded to the next whole number)

30 of them get between 42 and 72 seconds.

Answer:

answer it answer it it

answer it answer it it

Answer:

the answer is answer i hope u have a great day

(if u apricate me giive me a brainly by pressing the crown and giving me a heart)  THANKS!!!

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

just divide 90 by 0 and u will get the answer

Answer:

10ft

Step-by-step explanation:

To find the area of a rectangle, it is width✖️height.

Because the area and the height is given,

Area: 90ft^2

Height: 9ft.

to find the width, you need to divide 90/9=10

So, the width is 10ft.

To check just in case, you can multiply 10 ✖️9=90

Hope this helped, have a nice day!

Answer:

5000 x 10 x 10 x 50​ = 25000000

Step-by-step explanation:

you can just use a calculator....

Answer:

25000000

Step-by-step explanation:

Answer: A) -4

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Explanation:

The 3^0 in the denominator is equal to 1. Any nonzero number raised to an exponent of 0 is always 1. So this equation x^0 = 1 is true when x is nonzero.

This allows us to simplify to the equation 3^x = 1/81

Note how 81 = 3^4. Taking the reciprocal of 81 means the exponent goes from positive to negative. So 3^(-4) = 1/81. The rule is x^(-k) = 1/( x^k ). We could use logarithms to solve 3^x = 1/81.

Answer:

see below

Step-by-step explanation:

Take the price of each can and multiply by the cost of the cans

.95x

This must be less than or equal to 4.75

.95x ≤ 4.75

They may choose to use an equals sign,  since they asked for an equation

.95x = 4.75

Answer: 0.95x = 4.75

Step-by-step explanation:

Since we do not know how much George can buy, we will put x as 0.95x

If you solve 0.95x=4.75 by dividing 0.95 on both sides you will get the number of cans he can buy which is 5.

Answer:

Step-by-step explanation:

Given one zero of the quadratic polynomial kx² + 3x + k is 2,

Substitute x = 2 in the polyomial , we get

k(2)²+3×2+k = 0

=> 4k + 6 + k = 0

5k+6 = 0

5k= -6

k= -6/5

Therefore,

Value of k = -6/5

Answer/Step-by-step explanation:

[tex] 2(3x - 1) = 2*3x 2*-1 = 6x - 2 [/tex]

[tex] (x*y)2 = (xy)2 = 2xy [/tex]

[tex] 2(2x - 3) = 2*2x 2*-3 = 4x - 6 [/tex]

[tex] 3x + 4x + 2 = (3x + 4x) + 2 = 7x + 2 [/tex]

[tex] 7x - 7 = 7(x) - 7(1) = 7(x - 1) [/tex]

[tex] x(6 + 9) = x(15) = 15x [/tex]

[tex] 2 + 9x + 1 + 3x = (9x + 3x) + (2 + 1) = 12x + 3 [/tex]

[tex] 4(x + 2) + x = 4x + 8 + x = 4x + x + 8 = 5x + 8 [/tex]

Answer:

The correct option is;

Multiplication Property of Equality

Step-by-step explanation:

The multiplication property of equality states that the product of both sides of an equation by a given number maintains the equality of the sides of the equation

For example, two containers hold the same volume of water, if the volume of water in each of the containers is doubled, they will still hold the same volume on each side.

For the given question, we have;

TR = UI then 3·RT = 3·UI

We have the same value of the multiplier on both sides of the equation therefore, the value of the result of the multiplication will also be the same on both sides of the equation.

Answer:

multiplication property of equality

Step-by-step explanation:

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.

Both sides were multiplied by 3 which still makes them equal

Answer:

a) 495

b) 210

c) 35

d) 40

Step-by-step explanation:

Given a total of 12 marbles.

n = 12

Number of red marbles = 7

Number of blue marbles = 5

a) Number of different sets of 4 marbles that can be made from this bag ?

This is a simple combination problem.

where n = 12 and r = 4.

So, answer will be:

[tex]_{12}C_4[/tex]

Formula:

[tex]_{n}C_r = \dfrac{n!}{(n-r)!r!}[/tex]

[tex]_{12}C_4 = \dfrac{12!}{(8)!4!} = \dfrac{12\times 11\times 10\times 9}{4 \times 3\times 2} =\bold{495}[/tex]

b) Two red and two blue marbles:

The answer will be:

[tex]_{7}C_2 \times _{5}C_2 = \dfrac{7\times 6}{2} \times \dfrac{5\times 4}{2} =\bold{210}[/tex]

c) all red marbles.(4 chosen out of 7 red and 0 chosen out of 5 blue marbles)

[tex]_{7}C_4 \times _{5}C_0 = \dfrac{7\times 6\times 5\times 4}{4\times 3\times 2} =\bold{35}[/tex]

d) all red or all blue.(all red marbles plus all blue marbles)

All red marbles:

[tex]_{7}C_4 \times _{5}C_0 = \dfrac{7\times 6\times 5\times 4}{4\times 3\times 2} \times 1=\bold{35}[/tex]

All blue marbles:

[tex]_{7}C_0 \times _{5}C_4 = 1 \times \dfrac{5\times 4\times 3\times 2}{4\times 3\times 2} =\bold{5}[/tex]

So, answer is 40.

Answer:

For Sprint

Cell phone plan would be;

$29.95 + $0.15n

For At & t

we have;

$4.95 + $0.39n

Step-by-step explanation:

Okay , here in this question, we are interested in creating equations for the cell phone plans.

Let’s start with Sprint

Sprint charges $29.95 monthly and $0.15 per text message.

Let the number of text messages sent be n

So the value of the cell phone plan will be;

$29.95 + $0.15(n) = $(29.95 + 0.15n)

For the At& t

Let the number of texts sent per month be n

The monthly plan is thus;

$4.95 + $0.39n

Answer:

-2

Step-by-step explanation:

5x – 15 > 10 + 20x

Subtract 5x from each side

5x – 15-5x > 10 + 20x-5x

-15 > 10+15x

Subtract 10 from each side

-15-10 >15x

-25 > 15x

Divide each side by 15

-25/15 > x

-5/3 > x

X must be less than -1  2/3

The only value that is less than -1 2/3 is -2

Answer:

Step-by-step explanation:

[tex]5x - 15 > 10 + 20x\\\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\5x-15+15>10+20x+15\\\mathrm{Simplify}\\\\5x>20x+25\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\\\5x-20x>20x+25-20x\\\\\mathrm{Simplify}\\\\-15x>25\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-15x\right)\left(-1\right)<25\left(-1\right)\\\\\mathrm{Simplify}\\\\15x<-25\\\\\mathrm{Divide\:both\:sides\:by\:}15\\\\\frac{15x}{15}<\frac{-25}{15}\\\\x<-\frac{5}{3}[/tex]