For the following arithmetic sequence: 4, ___, ____, ____, 24 a)Describe the term-to-term rule.

Basically all you need to show is –(p-q)=(-p)+q. (1)

Since 0 = (p-q) + (-(p-q)) (additive inverse), we get –p = -q +(-(p-q)). Now substitute for (–p) in (1).

Then m+q-n-p=(m+q)-(n+p) follows. (since -n-p+(n+p) = 0 implies -n-p = -(n+p) (additive inverse))

so technically all u need to show is –(p-q)=(-p)+q. Hope this helps!!

Answer:

y=3x is Multiplicative: y is 3 times x

y=x+3 is Additive: y is 3 more than x

Answer:

the first on is multiplicative

the second is additive  

Step-by-step explanation:

y = 3x  

y is the product of 3 multiplied by x

y=3+x

y is the product x plus 3 (or otherwise stated y is 3 more then x)

Answer:

1. v = 19

2. n = 26

3. v = 38

4. d = 6

Step-by-step explanation:

5v = 95

÷5    ÷5

v = 19

--------------------

n - 19 = 7

   +19   +19

n = 26

-----------------------

v

/    =  19

2

v

/        = 19(2)

2(2)

v = 38

-----------------------------

4d = 24

÷4    ÷4

d = 6

I hope this helps!

Answer:

cant see

Step-by-step explanation:

Answer:   [tex]D. h^{2}+9h+23[/tex]

Step-by-step explanation:

[tex]f(x)=x^{2} +3x+5[/tex]

1. Input (3+h) instead of x.

[tex]f(3+h)=(3+h)^{2} +3(3+h)+5\\[/tex]

2. Get rid of parentheses.

[tex]f(3+h)=9+6h+h^{2} +9+3h+5\\[/tex]

[tex]f(3+h)=h^{2}+9h+23[/tex]

Therefore, D is the answer.

Answer:

h = 3.6

Step-by-step explanation:

This is just substituting in for variables and solving for x. The hard part is knowing the formula.

R = h((a+b)/2) where a and b are the 2 different bases, h is the height or latitude, and R is the area of a trapezoid, is the formula.

Given that R = 8.1, a = 1 and b = 3.5, we can substitute these equations in the formula.

(8.1) = h(((1) + (3.5)) / 2)

= h((4.5) / 2)

= h(2.25)

8.1/2.25 = h

3.6 = h

Answer:

Step-by-step explanation:

Let the equation of the line representing relation between the euros and dollars is,

E = mD + b

Where 'E' = Number of euros

D = Number of dollars

m = slope of the line

b = y-intercept

Slope of a line which passes through two points (120, 90) and (400, 300) will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{300-90}{400-120}[/tex]

m = 0.75

Equation of the line passing through (120, 90),

90 = 0.75(120) + b

b = 90 - 90 = 0

Therefore, equation of the line will be,

E = mD

E ∝ D

Here m = Proportionality constant

And the relation between the numbers of Euros and US dollars is a proportional relationship.

9514 1404 393

Answer:

Step-by-step explanation:

Just as the directions tell you, multiply both parts of the ratio by the same number. Here, the equivalents we used are 1, 2, and 5 times the numbers in the reduced ratio. Your multipliers can be anything, and don't need to be positive or rational or numbers.

__

1. 5/12 = (5·2)/(12·2) = 10/24

  5/12 = (5·5)/(12·5) = 25/60

__

2. 14:32 = (7·2):(16·2) = 7:16

  7:16 = (7·5):(16·5) = 35:80

__

3. 3 to 4 = (3·2) to (4·2) = 6 to 8

  3 to 4 = (3·5) to (4·5) = 15 to 20

__

4. 7/8 = (7·2)/(8·2) = 14/16

  7/8 = (7·5)/(8·5) = 35/40

  7/8 = (7·m)/(8·m) = (7m)/(8m) . . . m ≠ 0

Answer:

Full packs = 8

Left over = 6 pencils

Step-by-step explanation:

102 divided by 12 = 8

with a remainder of 6

8 packet can be made and 6 pencils are left over

Answer:

-24

Step-by-step explanation:

4(x + 2 - 5x)

Combine like terms

4( -4x+2)

Let x =2

4 ( -4*2 +2)

4 ( -8+2)

4 ( -6)

-24

Answer:

A.it will increase

Step-by-step explanation:

it will imcrease since every low number after the low number a number that is high

Answer:

If p = -3 and q = 7 your answer would be 30

Step-by-step explanation:

Using the given information we found that the equation of the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

For a parabola with vertex (h, k), the equation is:

y = a*(x - h)^2 + k

Here the vertex is (3, 5), so the equation is:

y = a*(x - 3)^2 + 5

And the y-intercept is y = 1, this means that:

1 = a*(0 - 3)^2 + 5

1 = a*9 + 5

1 - 5 = a*9

-4/9 = a

So the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

If you want to learn more about parabolas, you can read:

https://brainly.com/question/1480401

Answer:

3.57

Step-by-step explanation:

P=SP -CP

=290-280=10

P%=[tex]\frac{P*100}{CP}[/tex]

=[tex]\frac{10*100}{280}[/tex]

=[tex]\frac{1000}{280}[/tex]

=3.57

Step-by-step explanation:

y = mx + c

is this form

-1/2x + y = 10

we need to get y by its self

to do that move -1/2x to the other side

do u know how to do that

Answer:

 Slope = 1.000/2.000 = 0.500

 x-intercept = 20/-1 = -20.00000

 y-intercept = 20/2 = 10

Step-by-Step Explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-1/2*x+y-(10)=0  <----- given linear equation

STEP 1:

Simplify 1/2

Equation at the end of step 1:

((0 - (1/2 • x)) +  y) -  10  = 0

STEP 2 : Rewriting the whole as an Equivalent Fraction

Adding a whole to a fraction

Rewrite the whole as a fraction using  2  as the denominator :

y = y/1  = y · 2/2

Equivalent fraction :

Common denominator :

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-x+y• 2 /2 = 2y-x/2

Equation at the end of step 2:

(2y-x)/2-10=0

Step 3:

Rewriting the whole as an Equivalent Fraction :

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

10=10/1=10 * 2/2

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

(2y-x)-(10*2)/2=-x+2y-20/2

Step 4:

Pulling out like terms :

Pull out like factors :

-x + 2y - 20  =   -1 • (x - 2y + 20)

Equation at the end of step 4:

-x+2y-20/2=0

Step 5: When a fraction equals zero :

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

-x+2y=20/2 *2=0*2

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -x+2y-20  = 0

Equation of a Straight Line

Solve   -x+2y-20  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -x+2y-20  = 0 and calculate its properties

Graph of a Straight Line : PICTURE

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 10/1 so this line "cuts" the y axis at y=10.00000

 y-intercept = 20/2  =  10

Calculate the X-Intercept :

When y = 0 the value of x is 20/-1 Our line therefore "cuts" the x axis at x=-20.00000

x-intercept = 20/-1  = -20.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 10.000 and for x=2.000, the value of y is 11.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 11.000 - 10.000 = 1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.000/2.000 =  0.500

Geometric figure: Straight Line

 Slope = 1.000/2.000 = 0.500

 x-intercept = 20/-1 = -20.00000

 y-intercept = 20/2 = 10    

Answer:

1 3/5

Step-by-step explanation:

Slope is change in y/ change in x

so we can do

5-(-3)/4-(-1)

5+3/4+1

8/5 or 1 3/5

Answer:

Your answer is: x>-7/3

Interval Notation: (-7/3, ∞)

Step-by-step explanation:

Hope this helped : )

x > - 7/3

x ∈ ( - 7/3 ; +oo)

Hi there  !

- 3x + 8 < 15

- 3x < 15 - 8

- 3x < 7 | (-)

3x > - 7

x > - 7/3

x ∈ ( - 7/3 ; +oo)

Good luck !

Answer:is the same number

Step-by-step explanation:289 because it’s a square all squares have same side

Answer:

It’s c and d

Step-by-step explanation:

Answer:

2 to 10 i think

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

10=4x+2

8=4x

2=x

Answer:

y=4x-3

Step-by-step explanation:

Answer:

thanks for the answer

Step-by-step explanation:

Answer:

100/200 is 0.5 (in the set of reals).

100 divided by 200 when simplified or reduced

100÷200 equals to 100

200

as a fraction, which equals to 1

2

, when simplified or reduced.

The fraction 100/200 is equal to the exact decimal number 0.5 (in the set of real num

Step-by-step explanation:

please mark me as brainlist please

Answer:

-5/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subtract 8 from the x value of the point P and subtract 3 from the y value of the point P

P' = (3-8 , -5-3)

    P' (-5 , -8)

Answer:

can u help me

Step-by-step explanation:

Answer:

first one is: 8

second one is: 2

Step-by-step explanation:

correct on edg 2021!!!