Dave tried to evaluate 55 – 15 + 20 step-by-step.

55 - 15 + 20

Step 1: =40 + 20

Step 2: = 20

Find Dave’s mistake

Choose 1 answer:

A: step 1
B: step 2
C: Dave did not make a mistake

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:

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!

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 ^_^

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:

[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

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: [tex]y=\frac{ln(x)}{ln(10)}[/tex]

Step-by-step explanation:

To find the inverse of the function, you first replace the y with x and x with y. Then you solve for y.

[tex]y=10^x[/tex]                                [replace y with x and x with y]

[tex]x=10^y[/tex]                                [find natural log of both sides to get y alone]

[tex]ln(x)=ln(10)^y[/tex]                    [divide ln(10) on both sides]

[tex]\frac{ln(x)}{ln(10)} =y[/tex]                              

Now that we have found y after switching y with x and x with y, we know that the inverse is [tex]y=\frac{ln(x)}{ln(10)}[/tex].

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:

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:

0.32 ounces of chocolate per mold

Step-by-step explanation:

Answer:

the correct answer is 3.125

Step-by-step explanation:

Answer:

-2x

Step-by-step explanation:

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:

[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:

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.

The rounding off should be 1100.

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

Rounding numbers to the nearest hundred means we need to check the digit to the right of the hundreds place, that is, the tens place. For example, when 7456 is rounded to the nearest hundred, it becomes 7500.

Given numbers are 1143 and 1149.

According to the given numbers both the numbers rounded off nearest hundred.

The number 143 and 149 lies between 100 to 200.

So, the round off will be 100.

Learn more about rounding off here:

https://brainly.com/question/13391706

#SPJ2

Answer:

B... According to the statement..

Step-by-step explanation:

The mean and median determines the numerical measures of center. The mean is used when showing the center as an average while the median shows the middle value of a data. The range and IQR determines the numerical measures of spread.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

Answer:

answers below vote brainliest

Step-by-step explanation:

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:

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:

Third graph

Step-by-step explanation:

First, find the solution to the equation of inequality given.

2k + 8 < 5k - 1

Subtract 5k from both sides

2k + 8 - 5k < 5k - 1 - 5k

-3k + 8 < -1

Subtract 8 from both sides

-3k + 8 - 8 < -1 - 8

-3k < -9

Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)

[tex] \frac{-3k}{-3} [/tex] > [tex] \frac{-9}{-3} [/tex]

k > 3

The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.

Therefore, the 3rd graph is the answer.

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

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: 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:

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:

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:

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:

f = 4 pi

Step-by-step explanation:

f + 3 pi = 7 pi

f = 7 pi - 3 pi

f = 4 pi

Answer:

f = 4 pi

Step-by-step explanation:

f + 3 pi = 7 pi

Subtract 3 pi from each side

f + 3 pi -3pi = 7 pi -3 pi

f = 4 pi

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!!

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