When solving the system of equations, which expression could be substituted for r in the first equation?

3r + 2t = 15

r = 4 – t

Answer:

Steps to multiply using Long Multiplication

Multiplying 2-Digit by 2-Digit Numbers

Let us multiply 47 by 63 using the long multiplication method.

1. Write the two numbers one below the other as per the places of their digits. Write the bigger number on top and a multiplication sign on the left. Draw a line below the numbers. 



2. Multiply ones digit of the top number by the ones digit of the bottom number.

Write the product as shown.



3. Multiply the tens digit of the top number by the ones digit of the bottom number.



This is our first partial product which we got on multiplying the top number by the ones digit of the bottom number.

4. Write a 0 below the ones digit as shown. This is because we will now be multiplying the digits of the top number by the tens digit of the bottom number. Hence, we write a 0 in the ones place.



5. Multiply the ones digit of the top number by the tens digit of the bottom number.



6. Multiply the tens digit of the top number by the tens digit of the bottom number.



This is the second partial product obtained on multiplying the top number by the tens digit of the bottom number.

7. Add the two partial products.

 

In long multiplication method, the number on the top is called the multiplicand. The number by which it is multiplied, that is, the bottom number is called the multiplier.

So, a long division problem will have:



We follow the same method for multiplying numbers greater than 2-Digits.

The figure below shows the long division method to multiply 357 by 23

Answer:

  x < -3 or x > 4

Step-by-step explanation:

The product of the factors is 4th-degree, and the leading coefficient is 1 (positive).

The factors tell you the following about the zeros:

  x = -3 . . . sign change from + to -

  x = -1 . . . graph touches, but no sign change. - on either side of x=-1

  x = 4 . . . sign change from - to +

__

The function will be positive for x < -3 and for x > +4.

_____

Additional comments

The value of the function is zero when any of its factors is zero. The value of a factor changes sign when the value of x changes from one side of the 0 to the other. For example, here, we have x+1 as a factor, so x=-1 is a zero. When x = -0.9, the factor is positive (-0.9 +1 = 0.1). When x = -1.1, the factor is negative (-1.1 +1 = -0.1). If this factor were to the first power, it would cause the value of the function to change sign at x=-1.

However, the factor (x+1) has an even power: (x+1)^2. That means when the factor is negative, its square is positive, and when the factor is positive, its square is positive. In short, the factor (x+1)^2 causes the function to be zero at x=-1, but does not make the function change sign there.

The product of all of these factors will result in a polynomial with x^4 as the highest-degree term. That means the function is of even degree. The leading coefficient is 1, so is positive, and the function will generally have a U-shape. The left-most (odd-degree) zero will be where the function changes sign from positive to negative. The right-most (odd-degree) zero will be where the function changes sign from negative to positive. Those zeros are x=-3 and x=+4, respectively. There are no places between these where the function changes sign, so these zeros are the ends of the regions where the function is positive (>0).

Answer:

b

Step-by-step explanation:

Answer:

Y=X/3+3

Step-by-step explanation:

M= Y2-Y1/X2-X1

  = 5-6/6-9

  = -1/-3

  = 1/3

sub x=6, y=5, M=1/3 into Y=MX+C

5=6/3+C

5=2+C

5-2= 2+C-2

3=C

Answer:

(4, -6)

Step-by-step explanation:

The rule for rotation around the origin 90 degrees clockwise is

Ro, 90: (x, y) --> (y, -x)

so (6, 4) --> (4, -6)

Hi! I'll try to help

It gives you two equations, one for "x" and one for "y"

All you have to do is replace the variable "y" with its value in the second equation. Might be kind of confusing so let's do one.

y=4x

3x-y=1

Since we know that "y" is the same as 4x, you can rewrite the equation as

3x-4x=1

Next, all you have to do is combine like terms as solve "3x-4x" which is -x

Let's rewrite the equation, then:

-x=1

You can simplify it to

x=-1

by dividing both sides by negative one, in other words swapping the negative sign so that "x" is positive

Answer:

2,000

Step-by-step explanation:

We know that 100 × 5 = 500, so one page has 500 names on it, we can now then infer that each book has 100,000 names on it because we do 500 × 200.

So knowing that there is 100,000 names per book we now then do 100,000 × 2,000 which equals 200,000,000, so we need to do 2,000 books to store the names of 200 million people. Hope this helps.

−5(|x−3|)−5<15

Step 1: Add 5 to both sides.

−5(|x−3|)−5+5<15+5

−5(|x−3|)<20

Step 2: Divide both sides by -5.

−5(|x−3|)

−5

<

20

−5

|x−3|>−4

Step 3: Solve Absolute Value.

|x−3|>−4

We know eitherx−3>−4orx−3<−(−4)

x−3>−4(Possibility 1)

x−3+3>−4+3(Add 3 to both sides)

x>−1

x−3<−(−4)(Possibility 2)

x−3<4(Simplify both sides of the inequality)

x−3+3<4+3(Add 3 to both sides)

x<7

Answer:

x>−1 or x<7

Answer:

x = cupcakes

y = cookies

3x + 1y ≥ 205

x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205

Step-by-step explanation:

Answer:  A:  3x^2y^(3/2)

Step-by-step explanation:

This can be written as

(81*x^8*y^6)^(1/4)

Then multiply each exponent by (1/4):

81^(1/4)*x^(8(1/4))y^6(1/4))

81^(1/4) = 3

x^(8(1/4)) = x^2

y^6(1/4)) = y^(3/2)

The result:  3x^2y^(3/2)

[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx[/tex]

Answer:

Slope: Greater for Function A

Y-intercept: Same for both

Step-by-step explanation:

Slope: The easier way would be to just graph where we get a slope of -6 for Function A and a slope of -4 for Function B. Making Function A to have a greater slope

Y-intercept: Easy, we know x=0 in the y-intercept. They both have (0,3) where x=0 meaning both their intercepts are equal

Hope this helps :)

Answer:

The slope is greater for function A and the y-intercepts are the same.

Step-by-step explanation:

The slope for function A :

= (3-0) / (0 - (0.5)

= 3 / -0.5

= -6.

The y-intercept occurs when x = 0 so:

So the y-intercept is at (0,3)

The slope for function B :

= (3-7) / (0 - (-1)

= -4.

The y-intercept occurs when x = 0 so:

So the y-intercept is at (0,3)

Answer:

  correct

Step-by-step explanation:

Corresponding vertices are listed in the same order. In BCDE, segment DE is listed last. In OPQR, the segment listed last is QR. If the figures are congruent, then ...

  DE ≅ QR

Answer:

6.15

Step-by-step explanation:

perimeter of a rectangle= 2(Length + width)

perimeter=28.5

length=8.1

28.5=2(8.1+ Width)

28.5=16.2+ 2(Width)

28.5-16.2=2(Width)

12.3=2(Width)

12.3/2=Width

6.15=Width

Answer:

a(x) and d(x)

hope that helps, have a good day!

dont forget my brainliest.

Step-by-step explanation:

Answer:

you need to show the circumference, instead I cant help

Answer:

Area: 121π ft^2

(or just 380 ft^2)

[tex]R.H.S\\\\= (a+b)(a^2-ab +b^2)\\\\=a^3-a^2b +ab^2+ba^2-ab^2+b^3\\\\=a^3+b^3\\\\=L.H.S\\\\\text{Hence, proved.}[/tex]

Answer:

10%

Step-by-step explanation:

The rate of change of a linear function is the slope of the function.

The rate of change is -7 and the initial value of the function is 27

The points are given as:

[tex]E = (0,27)[/tex]

[tex]F = (5,-8)[/tex]

The slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{-8 - 27}{5-0}[/tex]

Rewrite the fraction as:

[tex]m = \frac{- 35}{5}[/tex]

Divide -35 by 5

[tex]m = -7[/tex]

So, the rate of change is -7

The initial value of the function is the value of the function when the input value (i.e. x) is 0.

At point E, we have: [tex]E = (0,27)[/tex]

So, the initial value of the function is 27

Read more about linear functions at:

https://brainly.com/question/15602982

The rate of change for the linear function is -7 and the initial value is 27.

Answer:

did u ever figure it out?

Step-by-step explanation:

[tex]\text{First term,}~ a = -1\\\\\text{Common ratio,}~ r = 2\\\\\text{Nth term} = ar^{n-1}=-1\cdot 2^{n-1}\\[/tex]

Answer:

true

Step-by-step explanation:

I had same question and said true so then it marked my as correct but then my computer screen turned black because its gay

Answer:

30°, 210°, 390°

Step-by-step explanation:

Given

f(x ) = 0 has solutions 0°, 180°, 360° , then

f(x - 30) = 0

Add 30° to each of the solutions of f(x) = 0

(0 + 30)° = 30°

(180 + 30)° = 210°

(360 + 30)° = 390°