You know if a number is divisible by 4 if the last 2 digits form a number that is.......

Answer:

[tex]\large \boxed{6x^{3} - 4x^{2} - 8x -16}[/tex]

Step-by-step explanation:

(3x² + 4x + 4)(2x - 4)

The easiest method is probably to use long multiplication.

3x²  + 4x   + 4

2x   -  4            

6x³ +  8x² +  8x

      - 12x² - 16x - 16

6x³ -  4x² -   8x -16

[tex]\text{The product of the polynomials is $\large \boxed{\mathbf{6x^{3} - 4x^{2} - 8x -16}}$}[/tex]

Answer:

6x3 – 4x2 – 8x – 16

Step-by-step explanation:

The radius of circle is 12 inches

Solution:

Given that,

Consider circle c with angle [tex]\frac{3 \pi }{4} \text{ radians }[/tex]

Minor arc AB measures [tex]9 \pi[/tex] inches

Therefore, we can say,

[tex]Central\ angle\ in\ radians = \frac{3 \pi }{4}\\\\Arc\ length = 9 \pi[/tex]

To find: Radius of circle

The length of arc when angle given in radians is:

[tex]s = r \times \theta[/tex]

Where,

"s" is the arc length and "r" is the radius and [tex]\theta[/tex] is the central angle in radians

[tex]9 \pi = r \times \frac{3 \pi }{4}\\\\r = 9 \times \frac{4}{3}\\\\r = 12[/tex]

Thus the radius of circle is 12 inches

Answer:

B.) 12 inches

Step-by-step explanation:

Answer:

y = 5x - 10 and y = 5(x + 2) are the system of equations that has no solution.

Step-by-step explanation:

The slope-intercept form of a straight line equation is given by, y = mx + c, where m is the slope and c is the y-intercept.

Now, only a system of parallel straight lines has no solution.

And the parallel straight lines have an equal slope and different y-intercept.

Hence, the given equation, y = 5x - 10 has slope equals to 5 and y-intercept - 10.

And the lines given in the options, only the second line i.e. y = 5(x + 2) has the same slope i.e. 5 and different y-intercept i.e. 10 ≠ - 10.

So, y = 5x - 10 and y = 5(x + 2) are the system of equations that has no solution. (Answer)

Answer:

B: y=5(x+2)

Step-by-step explanation:

Answer:

7

Explanation:

(3)(3)+(4)(2) − 10

(3)(3)

= 9

(4)(2)

= 8

9 + 8 = 17

17 - 10 = 7

Answer:

7

Step-by-step explanation:

3(3)+4(2)-10

9+8-10

17-10

7

Answer:

D

Step-by-step explanation:

$974.95 + $246.00 + $98.48 - $721.00 - $35.35 - $3.00 + $0.75 = $560.83

Eric Schneider's present balance is calculated by adding his previous balance and deposits, subtracting the checks written and service fees, and then adding any interest earned. The result is $560.83.

In order to find Eric Schneider's present bank balance, we need to add the money he deposited to his previous balance, subtract any checks he wrote and service charges, and add any interest earned. So, to break this down:

So, Eric Schneider's new balance is $560.83 (option d).

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Answer:

Step-by-step explanation:

6x + 4y = 2                              3x + 2y = 1

4y = -6x + 2                             2y = -3x + 1

y = - 3/2x + 1/2                        y = -3/2x + 1/2

same line, infinite solutions.....Consistent and dependent

Answer:

Consistent and dependent

Step-by-step explanation:

Answer:

The equation of the required line in the slope-intercept form is

y = -3x + 10

Step-by-step explanation:

i) the required line passes through the point (5, -5)

ii) the required line is also parallel to the line 3x + y = -2 ⇒ y = -3x - 2

  Therefore the slope of the given line is -3.

  Therefore the slope of the required line is also -3

  The equation of the required line in the slope-intercept form is

  y - (-5) = -3(x - 5) ⇒ y + 5 = -3x + 15    ⇒      y = -3x + 10   ∴ 3x + y = 10.

Answer:

x = (32y - 3)/6

Step-by-step explanation:

1. Multiply both sides of equation by 2y

6x + 3 = 32y

2. Isolate 6x

6x = 32y - 3

3. Isolate x

x = (32y - 3)/6

Answer:

see explanation

Step-by-step explanation:

Given

6x + [tex]\frac{3}{2}[/tex] y = 16

Multiply through by 2 to clear the fraction

12x + 3y = 32 ( subtract 12x from both sides )

3y = 32 - 12x ( divide both sides by 3 )

y = [tex]\frac{32-12x}{3}[/tex]

Answer:

the price for a dozen is 12.00

Step-by-step explanation:

Answer: the price per dozen is 11.8

Step-by-step explanation:

-you have $2.95 for three muffins

-a dozen = 12

- if you add 2.95 +2.95 +2.95 +2.95 (because 3 muffins are worth $2.95 and it 3 times 4 is equal to 12 for the dozen) you get 11.8

Answer:

3

Step-by-step explanation:

y=3x+7

y=mx+b where m=slope and b=y-intercept

Option B

The number of light years in [tex]6.79 \times 10^{16}[/tex] miles is 11508 light years

Solution:

Given that,

One light-year equals 5.9 x 10^12 miles

Therefore,

[tex]1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }[/tex]

To find: Number of light years in [tex]6.79 \times 10^{16}[/tex] miles

Let "x" be the number of light years in [tex]6.79 \times 10^{16}[/tex] miles

Then number of light years in [tex]6.79 \times 10^{16}[/tex] miles can be found by dividing [tex]6.79 \times 10^{16}[/tex] miles by miles in 1 light year

[tex]\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508[/tex]

Thus number of light years in [tex]6.79 \times 10^{16}[/tex] miles is 11508 light years

Answer:

The change in her speed is 7 m/s - 4 m/s = 3 m/s.

Step-by-step explanation:

Speed is defined as the rate of change of distance with time.

i) Let the total distance of the cross country be x meters.

ii) The change in her speed is 7 m/s - 4 m/s = 3 m/s.

Answer: [tex]-31\ \°F[/tex]

Step-by-step explanation:

Degrees Celsius and Degrees Fahrenheit are defined as units of measurement of temperature.

In order to make the conversion from Degrees Celsius to Degrees Fahrenheit, you need to follow these steps:

Step 1: You must multiply the temperature in degrees Celsius by [tex]\frac{9}{5}[/tex] (or you can multiply it by 1.8).

Step 2: Then you must add 32 to the product obtained.

In this case, according to the information given in the exercise, you know that the reading at an Arctic research station showed that the temperature was [tex]-35\°C[/tex]

Therefore, applying the steps indicated before, you get that that temperature in degrees Fahrenheit is:

[tex]T_{(\°F)}=(-35)(\frac{9}{5})+32\\\\T_{(\°F)}=-31\ \°F[/tex]

Answer:

12

Step-by-step explanation:

0.8 is equal to 80%

you need to figure out 80% of 15

100% = 15

10% = 1.5

(x8)

80% = 12

you would need to shade 12 out of 15 boxes which gives 0.8 chance of picking a shaded one

Answer:

Sample answer: The number of squares that are shaded divided by 15 must equal 0.8, so the number of squares must be 0.8(15), which equals 12. The fraction 12/15 reduces to 4/5 which is equal to 8/10.

Step-by-step explanation:

The sample answer on edge

Answer:

B. [tex](x,y)\rightarrow (x-4,y+3)[/tex]

Step-by-step explanation:

To get from point A to point A', you need to move 4 unite to the left and 3 units up.

To get from point B to point B', you need to move 4 unite to the left and 3 units up.

To get from point C to point C', you need to move 4 unite to the left and 3 units up.

To get from point D to point D', you need to move 4 unite to the left and 3 units up.

Hence, the translation rule is

[tex](x,y)\rightarrow (x-4,y+3)[/tex]

Answer:

Step-by-step explanation:

17/333 11/120 7/99 4/52 3/50

Answer:

perimeter = 25.13feets

Step-by-step explanation:

width = 25/6 feet

Area = 35 square feet

lenght = Area/width = (35*6)/25 = 8.4feets

perimeter of the rectangle = 2(25/6 + 8.4) = 25.13 feets

Answer:

y + 3 = (-5/2)(x - 2)

Step-by-step explanation:

First look at y =5x + 2.  It's immediately apparent that the y-intercept is 2, or (0, 2).  (0, 2) must then be a point on the new line, and we are told that (2, -3) is also on this new line.

The general point-slope equation is y - k = m(x - h).

We need to determine the slope of the new line.

Let h = 2, k = -3, x = 0 and y = 2.  Then:

2 + 3 = m(0 - 2).  Therefore, -2m = 5, and m = -5/2.

Then the equation of the new line, in point-slope form, is

y + 3 = (-5/2)(x - 2)

Let's check this result.  Do the coordinates of the y-intercept, (0, 2) satisfy this equation?

Is 2 + 3 = (-5/2)(0 - 2) true?

Is 5       = (-5/2)(-2) true?  YES

The equation of line is 2y = -5x+ 4.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. The slope of the line is the ratio of the rise to the run, or the rise divided by the run, therefore the change in y coordinate with regard to the change in x coordinate may be expressed as follows

m = Δy/Δx

where, m is the slope

In the coordinate plane, it describes the slope of the line.

Given:

passes through the point (2,-3) and has the same y intercept as y =5×+2

The, the intercept for the required line is 2.

Now, using y= mx+b

-3 = m(2) + 2

2m = -5

m= -5/2

Now, the equation of line passes through (2, -3)

y - y1 = m(x- x1)

y + 3= -5/2( x-2)

2y + 6= -5x+ 10

2y = -5x+ 4

Hence, the equation of line is 2y = -5x+ 4.

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Answer:

Step-by-step explanation:

the sum of a negative number and a positive number will always be negative.

counter example :

-1 + 3 = 2

-2 + 5 = 3

-1 + 7 = 6

this is only sometimes true....

-5 + 3 = -2........-3 + 5 = 2

-6 + 1 = -5......-1 + 6 = 5

The sum of a negative number and a positive number always will not be negative.

The given statement is the sum of a negative number and a positive number will always be negative.

We need to find a counter example to the statement.

The rule for adding integers with different signs is to retain the sign of the absolute value of the bigger number and subtract the absolute value of the bigger number from the smaller number.

Example:

-1+3=2 and -7+8=1

Therefore, the sum of a negative number and a positive number always will not be negative.

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Answer: 1190

None of these answer choices are correct I showed my work on paper.

Answer:

it seems that you meant to use fractions. as a K12 student the answer is 9/20. Hope that helps!

Answer:

-3 or 4

Step-by-step explanation:

If I am wrong I am sorry :[

pls brainlest

Answer:

b=4

Step-by-step explanation:

6b+2=2b+18 add and subtract like terms

-2b. -2b

4b+2=18

-2. -2

4b=16

----- ----- divide

4. 4

b= 4

Answer: b = +4

Step-by-step explanation: When we have this kind of a setup, we want to put our variables together on one side of the equation and our numbers together on the other side of the equation.

So first, let's put our variables together on the left side by subtracting 2b from both sides of the equation. That gives us 4b + 2 = 18.

Now we can move our numbers to the right by subtracting 2 from both sides and we get 4b = 16.

Divide both sides by 4 and b = +4.

Answer:

To solve this equation your goal is to get x by itself

First we need to distribute the 3 through the (2x-7)

x-6x+21=76 (-3*2x=-6x, -7*-3=21)

Your next step is to combine like terms

-5x+21=76 (x-6x=-5x)

Next subtract 21 from both sides

-5x=55 (21-21=0, 76-21=55)

Last you need to divide both sides by -5

x=-11 (-5/-5=1, 55/-5=-11)

x=-11

Hope this helps ;)

The solution to the given equation x - 3(2x - 7) = 76 is x = -11.

The equation is given as follows:

x - 3(2x - 7) = 76

First, distribute the 3 to the terms inside the parentheses:

x - 6x + 21 = 76

Combine like terms:

-5x + 21 = 76

Subtract 21 from both sides:

-5x = 76 - 21

-5x = 55

Divide both sides by -5 to solve for x:

x = 55 / -5

x = -11

Therefore, the solution to the given equation x - 3(2x - 7) = 76 is x = -11.

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The complete question is as follows:

Solve the below equation.

x - 3(2x - 7) = 76

A) No, the probability of getting a 3 on a fair die does not change. It will always be 1/6  no matter what she got on the previous roll.

Step-by-step explanation:

Lets define probability first

"Probability is the likeliness of occurrence of an event"

When we call a die fair, that means that each number on the die has an equal chance of occurrence when rolled.

If on 7 rolls, the outcomes were 7 each time, this doesn't mean that the chances of rolling a specific number on a fair die is changed. On the next roll, 3 will have the same probability as before that is 1/6

So,

The correct answer is:

A) No, the probability of getting a 3 on a fair die does not change. It will always be 1/6  no matter what she got on the previous roll.

Keywords: Probability, die roll

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11

Step-by-step explanation:

subtract 4 from 48 which gives you 44

then divide 4 by 44 to leave t alone

that would give you 11

t equals 11

292 days

Solution:

Step 1: Given data:

Principal = $2500

Annual rate = 9.3%

Simple interest paid = $186

Step 2: To find the number of year for the loan paid.

Simple interest = [tex]\frac{Principal\times rate\times year}{100}[/tex]

[tex]186=\frac{2500\times9.3\times years}{100}[/tex]

Do cross multiplication.

⇒ 186 × 100 = 2500 × 9.3 × years

⇒ [tex]\frac{186\times100}{2500\times9.3}=years[/tex]

⇒ [tex]years=\frac{4}{5}[/tex]

Step 3: To find how long the loan was paid in days:

1 year = 365 days

Multiply years by 365

⇒ [tex]days=\frac{4}{5}\times365[/tex]

⇒ days = 292

Hence, the loan was paid in 292 days.

Answer:

Both equations are correct because the veterinarian recommended that the weight the dog should have is 31 pounds. Another equation that represent the situation is:

31 = x

Step-by-step explanation:

Let's analyze the equation written by Mikala:

x + 9 = 40

x = 40 - 9

x = 31

Now, let's solve for x the equation written by Kirk:

40 - x = 9

- x = 9 - 40

- x = -31

x = 31

Both equations are correct because the veterinarian recommended that the weight the dog should have is 31 pounds. Another equation that represent the situation is:

40 - 9 = x

31 = x

To simplify this improper fraction we can turn it into a mixed number. The fact that the denominator is 2 and the numerator isn't divisible by 2 shows that it can't simplified any further as a improper fraction.

23/2 = 11 1/2

Best of Luck!

Answer:

6. The equation needs to be correct for every pair (x, y) of values from the table. If we want to find the right equation, we simply plug a pair from the table and see if it fits. Let's take the first pair (1, -2) and plug it in the equation a):

-2 = 1+2 ---> obviously not correct

Now let's do the same for equation b):

-2 = 3+3 ---> again incorrect

Equation c):

-2 =1-11 --> incorrect

And equation d):

-2 = 2-4 ---> correct

It's important to know that we could've chosen any pair from the table to check the equation. However, sometimes one pair can fit into more than one equation. In that case, we have to plug in other pairs as well to see which equation is the right one.

7. Scale factor, simply put, shows how many times one value of the figure changed when mapping onto another.  

We are given the triangle ABC. Let's say the side of each of these little squares in 1 unit. That way, we conclude that the length AB is 4 units and BC is 3 units.

Now, let's look at the triangle A'B'C'. Length of the A'B' is 12 units and B'C' is 9 units.

Now to find the scale factor we simply have to find how many times are the sides of the mapped triangle greater then the triangle ABC:

AB/A'B' = BC/B'C' = 3

So, the scale factor is 3.

8. Note that the plumber charges two fees:

- base fee is a constant fee, for all appointments, regardless of the repair needed and hours spent.

- repair fee is a fee paid only if the repair is needed and is dependent on the number of hours spent repairing (more hours greater the fee)

So, in our equation

y = 25x + 30

y represents the total cost and x represents hours.

Now, we can see that this 25x part of equation represents repair fee, because it depends on x (for every hour spent, one pays another $25).

That means that 30 from our equation represents the base fee, the amount everyone will be charged regardless of the need for repair.

9. A relationship is linear if it's graph is a straight line, which means that its rate of change is constant. That means that the change in values of x of the two adjacent points, divided by the change of y is always the same number. That means that:

(x2 - x1)/(y2-y1) = (x3 - x2)/(y3 - y2) = (x4 - x3)/(y4 - y3) etc.

Let's test this.

Our first point is (0, 1) and next one is 1, 2). So, our first change of rate is:

(1-0)/(2-1) = 1/1 = 1

Let's find the rate of change for the next two adjacent pairs:

(x2, y2) = (1, 2)

(x3, y3) = (2, 4)

So, the rate of change is:

(2-1)/(4-2) = 1/2  

It's obvious that the rate of change isn't always the same, which means this relation isn't linear.

Answer: 21.5

Step-by-step explanation:

Rounding 15.89: Find the number in the tenth place  8  and look one place to the right for the rounding digit  9 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 . = 15.9

Rounding 5.557: Find the number in the tenth place  5  and look one place to the right for the rounding digit  5 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .  = 5.6

Sum up 15.9+5.6 and get 21.5