Solve -3(3p - 6r)+12 where p = 3 and r = 2.

Answer:

hi

Step-by-step explanation:

Answer:

$3360

Step-by-step explanation:

7% of $6000=$420

$420 time 8= $3360

Hope this helped! :)

Answer:

$3,360

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time (years)

Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Hope this helps! :)

Have a great day!

Given :

An expression (cos 6m)(cos 2m) .

To Find :

We need to express it in terms as sum or difference.

Solution :

We know,

cos( A + B ) = cosA cos B - sin A sin B

cos( A - B ) = cosA cos B + sin A sin B

Adding both the equations we get :

2cos A cos B = cos( A + B) + cos( A - B )

or

cos A cos B = cos( A + B) + cos( A - B )/2

Putting value of A = 6m and B = 2m in above equation, we get :

(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2

(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2

Hence, this is the required solution.

Answer:

slope = [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex]            (-3, 4) (-7, -5)

[tex]\frac{4+5}{-3+7}[/tex] = [tex]\frac{9}{4}[/tex]

Answer:

Juan = 93 years.

Gabe = 31 years.

Catherine = 25 years.

Step-by-step explanation:

Let the age of Juan = J

Let the age of Gabe = G

Let the age of Catherine = C

Translating the word problem into an algebraic equation, we have;

[tex] J = 3G[/tex] ..........equation 1

[tex] G = C + 6 [/tex] ........equation 2

[tex] J + G + C = 149 [/tex] ........equation 3

We would solve the linear equations by using the substitution method;

Substituting equation 2 into equation 1;

[tex] J = 3(C + 6)[/tex]

[tex] J = 3C + 18[/tex] ........equation 4

Substituting equation 2 and equation 4 into equation 3;

[tex] (3C + 18) + (C + 6) + C = 149 [/tex]

Simplifying the equation, we have;

[tex] 5C + 24 = 149[/tex]

[tex] 5C = 149 - 24[/tex]

[tex] 5C = 125[/tex]

[tex] C = \frac {125}{5}[/tex]

C = 25 years.

To find G; from equation 2

[tex] G = C + 6[/tex]

Substituting the value of "C" into equation 2, we have;

[tex] G = 25 + 6[/tex]

G = 31 years.

To find J; from equation 1

[tex] J = 3G [/tex]

Substituting the value of "G" into equation 1, we have;

[tex] J = 3 * 31[/tex]

J = 93 years.

Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.

Answer:

A) 1 km in 5 min

C.) 4/20 km in 1 min

Step-by-step explanation:

Given that:

Kevin ran 4 km in 20 minutes

A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min

4 km in 20 minutes :

4km / 20 minutes = 1km / 5 minutes

4/20 km in 1 minute = 0.2 km in 1 minute

If :

1 km = 5 minutes

x km = 1 minute

Number of kilometers in 1 minute :

1/5 = 0.2 km per minute

Hence, Option A and C

Answer:

u

Step-by-step explanation:

Answer:

kunjal brother answer is correct hope it's help you have a good day ☺☺ keep smiling be happy stay safe ☺☺

Answer:

sjsnana.amamakajsakqqmk

Answer:

(x+1)(x-2)(x-3)^2

Step-by-step explanation:

Sorry, mate. That math is too hard to type out online. You's guys will just have to take my word for it!

Answer:

It is 1.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Elena's move will lead to the solution of the problem

Step-by-step explanation:

To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning

Given:

7.5d = 2.5d

Lin divides each side by 2.5d, Lin:

7.5d / 2.5d = 2.5d / 2.5d

3 = 1

This can not be the solution to the problem because 3 can not be Equal to 1

Elena subtracts 2.5d from each side

7.5d = 2.5d

7.5d - 2.5d = 2.5d - 2.5d

5d = 0

This can lead to the solution of the problem

Elena's move will lead to the solution of the problem

Answer:

It would be 13 questions.

Step-by-step explanation:

If you had to do questions 31 through 51 for homework it would be 13 because...

51 - 38 = 13

Answer:

13

Step-by-step explanation:

51 - 38 = 13

also 13 + 38 = 51

brainliest.

Step-by-step explanation:

number of minutes I guess

Answer:

-44.5

Step-by-step explanation:

The i part is imaginary.

The rest is real.

The real part is -44.5

Answer:

-44.5

Step-by-step explanation:

for a complex number

[tex]z=a+bi[/tex]

a is the real part

so in our case we have

[tex]z=-44.5-400i[/tex]

a = -44.5

so the real part is -44.5

Answer:

The area of circle = πR ^2

And diameter = 7 units

By interchanging d in R =d/2 = R =7/2 = 3.5

Step-by-step explanation:

Hope it's help ^_^

Answer:

In 8 months both gym memberships will cost the same and that cost will be $464

Step-by-step explanation:

Linear Models

To compare two gym memberships, we can help Casey to form one model for each gym.

One of them charges a $248 joining fee plus $27 per month. The model for this gym is:

G1 = 27m + 248

Where m is the number of months.

The other gym has no joining fee but charges $58 per month. It's model is:

G2 = 58m

The number of months where both gyms end up charging the same can be found by equating G1 = G2, or equivalently:

27m + 248 = 58m

Subtracting 27m and swapping the equation:

58m - 27m = 248

Simplifying:

31m = 248

Solving:

m = 248/31

m = 8

When m=8, both gyms charge the same:

G1 =27*8 + 248= $464

G2 = 58*8 = $464

Thus, in 8 months both gym memberships will cost the same and that cost will be $464

Answer:

4

Step-by-step explanation:

Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.

Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.

0 - 4= I-4I or 4

Answer:

Step-by-step explanation:

221/17= 13 miles per hour over

30 limit + 13 over = 43mph

Answer:

43

Step-by-step explanation:

Answer:

(23, 9,200) (26, 10,400)

those are the only 2

Answer:

228

Step-by-step explanation:

Answer: KVL

Step-by-step explanation:

This would be the correct name for the angle since the V needs to be in the middle of the answer. In the angle you can see L V and K all pass 5 making it the correct name for the angle

Answer:

I'm just doing this to get points

Answer:

(−1)(5x+2)

Step-by-step explanation:

I googled it

Answer:

(x-1)(5x+2)

Step-by-step explanation:

5[tex]x^{2}[/tex] + 2x - 5x - 2

(5[tex]x^{2}[/tex] + 2x) (- 5x - 2)

x(5x + 2) -1(5x + 2)

(x-1)(5x+2)

Answer:

y = 3x - 7

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Where:

y is the y value.

m is the slope.

x is the x value.

And b is the y-intercept.

First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:

m = rise/run

m = 3/1

m = 3

With the slope formula, you first need to choose two points.

I chose:

(2, -1) and (3, 2)

Slope formula:

m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}

m = (2 - (-1)) / (3 - 2)

m = 3/1

m = 3

Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:

y-int = -7

To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.

I chose:

(2, -1)

y = 3x + b

-1 = 3(2) + b

-1 = 6 + b

-1 - 6 = b

b = -7

Now you have your final answer:

y = 3x - 7

Answer:

Slope = -1/2

Step-by-step explanation:

Use y = mx + b to find the slope (m) Write the expression as an equation (-14y)-7x=0. Rewrite in slope-intercept form by removing the parentheses, adding 7x to both sides, dividing each term by -14, then writing in y = mx + b form, which is m=-1/2x. Remove the variable, it becomes your answer of -1/2.

Answer: $62.79

Step-by-step explanation: i got it right on my test

Answer:

-72

Step-by-step explanation:

9*(-2)³ = 9*(-8) = -72

Answer:

(C) -72

Step-by-step explanation:

[tex]9^1*(-2)^3[/tex]

Any number to the exponent of 1 is equal to themselves

[tex]= 9*(-2)^3[/tex]

Solve the exponent and multiply

[tex]= 9*(-8)\\=-72[/tex]

I hope this helps!

Answer:

[tex]x=\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]5x^3-2x^2+5x-2=0\\x^2(5x-2)+(5x-2)=0\\(x^2+1)(5x-2)=0\\Hence,\\Either\ (x^2+1)\ should\ equal\ zero, or (5x-2)\ should\ be\ null.\\Lets\ try\ each\ on\ seperately:\\(x^2+1)=0\\x^2=-1\\x=\sqrt{-1}\\As\ \sqrt{-1}\ is\ not\ a\ real\ number,\ we\ can\ exclude\ it\ as\ a\ solution.\\Hence,\\(5x-2)=0\\5x=2\\x=\frac{2}{5} \\Thats\ your\ answer.[/tex]

Answer:

x = [tex]\frac{2}{5}[/tex] , x = ± i

Step-by-step explanation:

Given

5x³ - 2x² + 5x - 2 = 0 ( factor the first/second and third/fourth terms )

x²(5x - 2) + 1(5x - 2) = 0 ← factor out (x - 2) from each term

(5x - 2)(x² + 1) = 0

Equate each factor to zero and solve for x

5x - 2 = 0 ⇒ 5x = 2 ⇒ x = [tex]\frac{2}{5}[/tex]

x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± [tex]\sqrt{-1}[/tex] = ± i

The polynomial is of degree 3 and has 3 roots, 1 real and 2 complex, that is

x = [tex]\frac{2}{5}[/tex] ← real root

x = ± i ← complex roots