exponents and power - evaluate ​

Answer:

Step-by-step explanation:

Hello, please consider the following.

We need to factorise as much as possible and eliminate the same term from numerator and denominator

[tex]\dfrac{\dfrac{x^2-4x-5}{x-2}}{\dfrac{2x-10}{x^2-4}}\\\\\\=\dfrac{(x^2-4x-5)}{(x-2)}\dfrac{(x-2)(x+2)}{(2x-10)}\\\\\\=\dfrac{(x-5)(x+1)(x+2)}{(2x-10)}\\\\\\\large \boxed{=\dfrac{(x+1)(x+2)}{2}}[/tex]

Thank you

Answer:

1

Step-by-step explanation:

4^10/4^10 x 7^0 =

= 4^(10 - 10) * 1

= 4^0 * 1

= 1 * 1

= 1

Step-by-step explanation:

divide 4 to the tenth with 4 to the tenth first

the multiply it with 7 to the zero.

( 0 as an exponent is one)

ANSWER: 1

Answer:

a). $8.30

b).$18.70

c). $10.40

d). 1.04

Step-by-step explanation:

Average price of the ticket of a basketball game can be represented by the function,

p(x) = 0.03x² + 0.56x + 6.35

Where 'x' is the number of years or duration.

a). P(3) = 0.03(3)² + 0.56(3) + 6.35

           = 0.27 + 1.68 + 6.35

           = $8.30

b). P(13) = 0.03(13)² + 0.56(13) + 6.35

             = 5.07 + 7.28 + 6.35

             = $18.70

c). P(13) - P(3) = 18.70 - 8.30

                      = $10.40

d). [tex]\frac{P(13)-P(3)}{13-3}[/tex] = [tex]\frac{10.40}{10}[/tex]

                    = 1.04

  Average increase in the price of each ticket from 3 tickets to 13 tickets is $1.04.

Answer:

x=-11 is the answer

Step-by-step explanation:

4x + 2 = 3x -9

4x-3x+2=-9

1x=-9-2

x=-11

hope it will help ^_^

Formatted Options:

A. sin²A−cos²A

B. sin²A+cos²A

C. cos²A−sin²A

D. cosA−sinA

Answer:

C. cos²A−sin²A

Step-by-step explanation:

From the double angle formulas, we know that:

cos (A + B) = cosAcosB - sinAsinB

So, if B = A, then the above equation becomes;

cos(A + A) = cosAcosA - sinAsinA      [i.e replacing B with A]

=>cos(2A) = (cosA)² - (sinA)²

=> cos(2A) = cos²A - sin²A

Therefore,

cos(2A) is equivalent to cos²A - sin²A

Answer:

4.0

Step-by-step explanation:

when rounded the nine adds to the whole number making it 4

Rounding 3.99408317124 to nearest tenth becomes 4.

We round numbers as it is easy to remember and also rounding a number to a certain place retains approximate value to that pace.

According to the given question we have to round  3.99408317124 to nearest tenth.

We know to round a number to a certain place we have to check the

digit that is one place lesser.

Now we have to round 3.99408317124 to tens place so we'll look at the digit at ones' place which is 9 and is greater than 5 so we'll add one to it this will make it 0  and 1 will carry over.

Thus the number becomes 4.0.

learn more about rounding numbers here :

https://brainly.com/question/109166

#SPJ2

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{f( - 4) = 1}}}}[/tex]

Step-by-step explanation:

Given, f ( x ) = - x - 3

Let's find the value of f ( - 4 )

[tex] \sf{f( - 4) = - ( - 4) - 3}[/tex]

We know that , [tex]( - ) \times ( - ) = ( + )[/tex]

⇒[tex] \sf{ 4 - 3}[/tex]

Subtract 3 from 4

⇒[tex] \sf{1}[/tex]

Hope I helped!

Best regards!!

Assume independence because there are probably a lot of widgets. 1/100 x 1/100 = 1/10,000

Answer:

I'm just answering so the other person can have brainliest.

Sometimes I wonder if I'm the only idiot in the world.

Step-by-step explanation:

Answer:

D (Presumably)

16 by 3

Step-by-step explanation:

The perimeter of a rectangle is the two lengths added with the two widths. In a formula, this is:

[tex]P=2l+2w[/tex]

Where l is the length and w is the width.

We are told the length is 13 units longer than the width. In other words:

[tex]l=w+13[/tex]

We also already know that the perimeter is 38 units. So, let's substitute P for 38 and l for (w+13) to solve for w:

[tex]P=2l+2w\\38=2(w+13)+2w[/tex]

Distribute:

[tex]38=2w+26+2w[/tex]

Combine like terms:

[tex]38=4w+26[/tex]

Subtract 26 from both sides:

[tex]12=4w[/tex]

Divide both sides by 4:

[tex]w=3[/tex]

Thus, the width is 3 units.

Since the length is 13 units longer than the width, the length is 16 units.

Answer:

a) Vertex is at (-3, -1)

b) y-intercept is at (0,8)

c) x intercept is at (-4,0) and (-2,0)

d) x=-3

Step-by-step explanation:

We know the vertex is the lowest or highest part of a parabola meaning all the points are reflected across.  It is the only y value without a matching pair

E.x. -1 and 1, -3 and 3

The only point without a corresponding y value is (-3,-1) therefore the vertex is at (-3,-1)

The y-intercept is where the parabola meets the y axis or the x value is equal to 0, we just have to find when x = 0 to find the y intercept

y intercept: (0,8)

For the x intercept's it is just the reverse, you need to find where the parabola crosses the x axis or when y = 0

x intercept 1:(-4,0)

x intercept 2: (-2,0)

The axis of symmetry is also the x coordinate of the vertex which is 3 so

x = 3

Answer:

use BODMAS

brackets

of

division

multiplication

addition

subtraction

or Americans would use BEDMAS I think

so it'll be 8 + 4 ÷ (-24) × (3) - 4 = 35

u can break the brackets down further

Answer:

Its a on ed

Step-by-step explanation:

Answer:

[tex]\huge \boxed{\mathrm{Option \ D}}[/tex]

Step-by-step explanation:

[tex]f(x)+k[/tex]

Is the formula for upward vertical translation.

[tex]f(x)-k[/tex]

Is the formula for downward vertical translation.

Where [tex]k[/tex] is the units being translated.

Translation in the positive y-direction is upward vertical translation.

[tex]k=2[/tex]

The translation is by 2 units.

The function becomes,

[tex]f(x)+2[/tex]

Answer:

Step-by-step explanation:

D) ƒ(x) + 2 = x^5 + 2

Answer:

  1, -0.5, -6.25

Step-by-step explanation:

The number in the left box is the leading coefficient. The coefficient of x^2 is 1, so that goes in the first box.

__

The number in the second box is half the coefficient of x, divided by the leading coefficient:

  (1/2)(-1)/1 = -1/2

__

The number in the third box (k) is the number required to make the rewritten g(x) match the original g(x). So far, we have ...

  g(x) = 1(x -1/2)^2 + k = x^2 -x -6

  x^2 -x +1/4 +k = x^2 -x -6 . . . . . expand the square

  1/4 +k = -6 . . . . . . . . . . . . . . . . . subtract the x-terms from both sides

  k = -6 1/4 . . . . . . . . . . . . . . . . . . subtract 1/4

So, you have ...

  [tex]g(x)=\boxed{1}(x+\boxed{-0.5})^2+\boxed{-6.25}[/tex]

Answer:

annually

Step-by-step explanation:

Compound interest formula:

A = P(1 + r/n)^(nt)

amount of interest = balance - principal

Try daily:

A = 7775(1 + 0.045/365)^(365 * 14)

A = 14,597.88

This is too much money, so it was compounded less than daily.

Try monthly:

A = 7775(1 + 0.045/12)^(12 * 14)

A = 14,581.23

This is too much money, so it was compounded less than monthly.

Try quarterly:

A = 7775(1 + 0.045/4)^(4 * 14)

A = 14,547.16

This is too much money, so it was compounded less than quarterly.

Try annually:

A = 7775(1 + 0.045/1)^(1 * 14)

A = 14,398.87

This is the correct amount, so it was compounded annually.

Answer: annually

Answer: 120 ways

Step-by-step explanation: The word ALGORITHM has 9 letters. We want them to be written in a row, which means, order of the letters are important, so, use Permutation.

Permutation is calculated by:

P(n,r) = [tex]\frac{n!}{(n-r)!}[/tex]

We want to use 6 of the 9 letters with first 3 being THM. So, n = 6 and r = 3:

Permutation will be:

P(6,3) = [tex]\frac{6!}{(6-3)!}[/tex]

P(6,3) = [tex]\frac{6.5.4.3!}{3!}[/tex]

P(6,3) = 120

There are 120 ways six letters of ALGORITHM be written in a row with first three letters THM.

Answer:

C. Setting up a booth in the lunchroom where students can give their thoughts

Step-by-step explanation:

Sampling is the process by which some part of the entire population is selected and researched. This selected population helps in estimating the researches for the entire population. There are various methods used for the process of sampling.

For the given case, the sampling method to be adopted is to view each students' opinion on the issue. For this process, setting up a booth can prove helpful as the opinion of every student can be viewed with no biases. Also, every student is free to provide their opinion with any fear.

Answer:

0.32 ounces of chocolate per mold

Step-by-step explanation:

Answer:

the correct answer is 3.125

Step-by-step explanation:

Answer:

Step 2

Step-by-step explanation:

The addition property of equality was applied in step 2. The '- 9' value had to be 'undone', so '9' was added to each side of the equation, which would be an application of the addition property of equality, to yield step 3.

Hope this helps.

The correct option is A. Step 2.

Given the image in question as we saw in step 2, 9 has been added to both sides of the equation,right hand side and left hand side.

Hence in step 2 the addition property of equality applied.

So, the correct option is A. step 2.

For more details on equality follow the link:

https://brainly.com/question/1178055

Answer:

f(x) =5x -6 and g(x) = x + 1

Step-by-step explanation:

5x^2 - x - 6

finding the product of AC where A is 5 and C is -6 equals -30

factors of -30 whose sum eqjals -1 are +5 and -6

substitute into the expression

5x^2 + 5x -6x - 6

group the expression

(5x^2 + 5x) (-6x - 6)

take out the common factors in each bracket

5x(x + 1) -6 (x + 1)

(5x - 6) (x + 1)

Answer:a

Step-by-step explanation:

Answer: The 9th term is 16.

Step-by-step explanation:

Given formula : [tex]a_n=4(n-5)[/tex], where n is a natural number using for determine the terms.

To find the 9th term , we substitute n= 9 in the above expression, we get

[tex]a_9=4(9-5)\\\\\Rightarrow\ a_9=4(4)\\\\\Rightarrow\ a_9=16[/tex] which is the 9th term.

Hence, the 9th term is 16.

Answer:

-2x

Step-by-step explanation:

Step-by-step explanation:

An=A1+(n-1)d

A30=10+(30-1)3

A30=10+(29)3

A30= 10+87

A30=97

it takes me a centuary to type

Answer:

B, x + (2x + 5) = 29

Step-by-step explanation:

x, being Micahs age.

the 2, as twice the age.

5, the additional amount older.

Answer:

Yup hes right

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

The greatest number formed by those numbers is: 765420

The least number formed by those number is: 204567

The sum is: 765420 +  204567 = 969987

The difference is: 765420 -  204567 = 560853

Answer: Hi!

First we need to form the biggest and smallest number out of these digits. To do this it's pretty simple - just order the numbers from greatest to least for the greatest number, and from least to greatest for the least number! (However, for the least number, we will have to put the zero in front of 2, the second least number, because we can't put 0 in front of 2 and still be actually using it in the number.)

Greatest: 765420

Least: 204567

Now we add the numbers together:

765420 +  204567 = 969987

Now we subtract the numbers:

765420 -  204567 = 560853

These are your answers!

Hope this helps!

Step-by-step explanation:

d =r*t

d=3 mi

r =9 mi/hr

3=9t

t=1/3 hr

Convert hour to min

t=20 min added to 7:30

The time will he get to school is 7:50 AM

Answer:

[tex]2\cdot h +(2.3\cdot k + 4)[/tex]

Step-by-step explanation:

This expression is solved algebraically:

1) [tex]2\cdot h -(-2.3\cdot k - 4)[/tex] Given

2) [tex]2\cdot h +(-1)\cdot [(-1)\cdot (2.3)\cdot k + (-1)\cdot (4)][/tex] [tex](-1)\cdot a = -a[/tex]

3) [tex]2\cdot h + [(-1)\cdot (-1)]\cdot (2.3\cdot k+4)[/tex] Distributive property.

4) [tex]2\cdot h +(2.3\cdot k + 4)[/tex] [tex](-a)\cdot (-b) = a\cdot b[/tex]/Modulative property/Result

Answer:

9 days

Step-by-step explanation:

Let x = days taken by C to do it alone

In one day, A can do: 1/12 (part of the whole work)

In one day, B can do: 1/18 (part of the whole work)

In one day, C can do: 1/x (part of the whole work)

In one day,together A, B and C can do: 1/4 (part of the whole work)

we have this equation:

1/x + 1/12 + 1/18 = 1/4

--> 1/x = 1/4 - 1/12 - 1/18 = 1/9

--> x = 9 (days)

Answer:

[tex]C.2\sqrt{2}[/tex]

Step-by-step explanation:

Step 1: Know you can split 8 into factors of 4 and 2

[tex]\sqrt{(4)(2)}[/tex]

Step 2: Recognize 4 is a square number

[tex]\sqrt{(2^{2})(2) }[/tex]

Step 3: Because [tex]2^{2}[/tex]  is squared you can move it out

[tex]2\sqrt{2}[/tex]

Therefore the answer is C