Look at the graph shown:

A coordinate plane is shown. A line passes through the y-axis at -1 and through the point 1 comma 2.
Which equation best represents the line? (4 points)

y = 1 over 3.x − 1
y = 3x − 1
y = 3x + 1

The explicit formula is an = −8n − 9

So plug in 51 as n

-8(51) - 9

-408 - 9

-417

51st term = -417

Answer:

Ratio is 26:69

Step-by-step explanation:

[tex]{ \tt{dogs : cats = \frac{dogs}{cas} }} \\ [/tex]

[tex]{ \tt{dogs : cats = \frac{26}{69} }} \\ \\ { \underline{ \tt{ \: dogs :cats = 26 : 69 \: }}}[/tex]

Answer:

Step-by-step explanation:

dogs : Cats = 26 : 69

It is in the simplest form as they have no common terms.

Answer:

[tex]S_{13}[/tex] = 403

Step-by-step explanation:

the sum to n terms of an arithmetic series is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] (a + l) ← a is the first term and l the last term

here a = - 5 and l = 67 , then

[tex]S_{13}[/tex] = [tex]\frac{13}{2}[/tex] (- 5 + 67) = 6.5 × 62 = 403

Answer: Adding two negative integers will still keep the sum negative.

Step-by-step explanation: An integer is a whole number, it can be either positive or negative. If it’s a fraction that cannot be simplified to a whole number, then it’s not an integer.

An example of the answer would be -4 + -6. This would equal to -10. Positive and negative would remain negative in math.

Answer:

c) trinomial

Step-by-step explanation:

terms are separated by '+' or '-' signs

Answer:

Step-by-step explanation:

  1.

1/4 of 2 1/2

(1/4) times 5/2

5/8 of the seeds were used.

 2.

1/2 of 1 3/4

(1/2) times 7/4

7/8

The number of minutes that will take them to do one loop in a track of 20 m long is approximately 4 minutes

The speed of the toy engine around the Christmas tree is 300 meters/hour.

The number of minute for them to do one loop if the track are 20m long is as follows:

1 loop = 20m distance

Therefore,

300 = 20 / t

t = 20 / 300

t = 1 / 15 hours

t = 3.9999999996

t ≈ 4 minutes

learn more on time here: https://brainly.com/question/17199920?referrer=searchResults

Answer:

  80 ft²

Step-by-step explanation:

The carpet area will be the area of the pentagon less the 25 square feet taken up by the tree. The area of the pentagon is found by putting the given numbers into the given formula.

  pentagon area = 5((7 ft)(6 ft))/2 = 105 ft²

  carpet area = 105 ft² -25 ft² = 80 ft²

Peter will need 80 square feet of carpet.

Answer:

a₂₉ = 141

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 29 and d = a₂ - a₁ = 33 - 29 = 4 , then

a₂₉ = 29 + (28 × 4) = 29 + 112 = 141

Answer:

The 29th term of arithmetic sequence is 141.

Step-by-step explanation:

Here's the required formula to find the arithmetic sequence :

[tex]\longrightarrow{\pmb{\sf{a_n = a_1 + (n - 1)d}}}[/tex]

Substituting all the given values in the formula to find the 29th term of arithmetic sequence :

[tex]\leadsto{\sf{ \: \: a_n = a_1 + (n - 1)d}}[/tex]

[tex]\leadsto{\sf{ \: \: a_{29} = 29 + (29 - 1)4}}[/tex]

[tex]\leadsto{\sf{ \: \: a_{29} = 29 + (28)4}}[/tex]

[tex]\leadsto{\sf{ \: \: a_{29} = 29 + 28 \times 4}}[/tex]

[tex]\leadsto{\sf{ \: \: a_{29} = 29 + 112}}[/tex]

[tex]\leadsto{\sf{ \: \: a_{29} = 141}}[/tex]

[tex]\star \: \: \red{\underline{\boxed{\sf{a_{29} = 141}}}}[/tex]

Hence, the 29th term of arithmetic sequence is 141.

[tex]\rule{300}{2.5}[/tex]

Answer:

20/3

Step-by-step explanation:

1.5 * n = 10

We need to "undo" the multiplication by canceling it with division.

1.5 * n / 1.5 = 10 / 1.5

10 / 1.5 is also 20/3

n = 20/3

Answer:

x<=87.5

Step-by-step explanation:

2/7x - 11.5 <= 13.5

2/7x <= 25

x <= 87.5

Here are dimensions of the scale model of the truck:

Length = 18 inches

Width =  6.2 inches

Height = 6.3 inches

A scale drawing is a smaller image of a bigger image. The scale drawing is usually reduced at a constant dimension

Length = (5 x 230) / 64 = 18 inches

Width = (5 x 79) / 64 = 6.2 inches

Height = (5 x 80) / 64 = 6.3 inhes

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Answer:

True Hope It's Help

#Carryonlearning

Answer:

The funding for those services typically comes from three key areas: property taxes, sales taxes, and income taxes. States without a personal income tax might ask residents and visitors to pay more sales tax on groceries, clothes, and other goods, as is the case in Washington.

Answer:

  f(x) = (3x -2)(2x +1)

Step-by-step explanation:

The procedure for factoring expression of the form ...

  ax² +bx +c

is to look for factors of a·c that have a sum of b.

The product a·c is 6·(-2) = -12. You are looking for factors that have a sum of b = -1. From your familiarity with multiplication tables, you know ...

  -12 = 1(-12) = 2(-6) = 3(-4)

The sums of the factor pairs in this list are -11, -4, -1. So, the last pair of factors, {3, -4} is the one we're looking for.

__

At this point, there are several ways to proceed. Perhaps the simplest is to rewrite the linear term as the sum of terms involving these factors:

  -x = 3x -4x

  f(x) = 6x² +3x -4x -2

Now, the expression can be factored 2 terms at a time:

  f(x) = (6x² +3x) -(4x +2) . . . . . pay attention to signs

  f(x) = 3x(2x +1) -2(2x +1) . . . . factor each pair

  f(x) = (3x -2)(2x +1) . . . . . . . . factor out the common factor of (2x+1)

take side as a

volume of cube=a×a×a

= 13×13×13

Answer:

x = 5 y =-2

Step-by-step explanation:

You can substitute the 4y in,
7x - (-3-x) = 43
7x + 3 + x = 43
8x + 3 = 43
8x = 40
x = 5

Then plug the x back into the equation,
4y = -3 - 5
4y = -8
y = -2

Answer:

y= -2 x=5

Step-by-step explanation:

(See attachment below)

Answer:

-1 is on the Y axis (vertical) Slope is 1/6

Step-by-step explanation:

-1 is on the Y axis. Go up 1 a right over 6. <- that is the slope

Answer:

Step-by-step explanation:

1. -20 x + y - 10 = 0, y = 10 (2 x + 1), y= 20x + 10

2. The first row will represent the one-time art supply fee. the art supply fee is $10

3. The linear equation for the cost of a lesson in slope-intercept is

y = 20x + 10
4. I cannot directly graph, but I will give points. After that, connect the points in a line. (0,10), (2,50), (4,90), (6,130).

Question 5 and 6 previously answered on different question.

Hope this helps. :) Cya later.

Answer:

m=-7/5

Step-by-step explanation:

y=y2-y1/x2-x1

m=-6-8/4-(-6)

m=-7/5

Answer:

-(1 3/4)x - 5

Step-by-step explnation:

1/2x+(−7)−2 1/4x−(−2)   =>   (1/2)x + (−7) − (2 1/4)x − ( −2)?

Combining the x terms, we get:

-2 1/4 + (1/2)x, or - (1 3/4)x - 7 + 2.

Again combining like terms, we get the final answer

-(1 3/4)x - 5

If answer choices are given (which it seems they are here), please share them.

The expression 2/3 − 1/4x + 1/2x − 1/6 is equivalent to 1/2 + 1/2x.

To simplify the expression 2/3 − 1/4x + 1/2x − 1/6, we first need to combine the terms with the same variable.

The terms -1/4x and 1/2x have the same variable, so we can combine them:

-1/4x + 1/2x = (1/2 - 1/4)x = 1/4x

Now, the expression becomes:

2/3 + 1/4x - 1/6 + 1/4x

To simplify further, we can find a common denominator of 12:

(2/3) + (1/4x) - (1/6) + (1/4x) = (8/12) + (3/12x) - (2/12) + (3/12x)

Now, we can combine like terms:

(8/12) - (2/12) + (3/12x) + (3/12x) = (6/12) + (6/12x)

Simplifying the fraction:

6/12 = 1/2

The expression simplifies to:

1/2 + 1/2x

Therefore, the expression 2/3 − 1/4x + 1/2x − 1/6 is equivalent to 1/2 + 1/2x.

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ3

Answer:

x > 12, so the answer is the last one or D

Step-by-step explanation:

2/3x − 5 > 3

Step 1: Add 5 to both sides.

2/3x − 5 + 5 > 3 + 5

2/3x > 8

Step 2: Multiply both sides by 3/2.

2/3x * (3/2) > 8 * (3/2)

x > 12

> = open circle

< = open circle

≤ = closed circle

≥ = closed circle

Answer:

y=1/3x+4

Step-by-step explanation:

y=2-3x is equivilent to y=-3x+2

Here were see that the coefficient of x is -3. In order to find a line that is perpendicular to another line, we need to put the opposite sign and make the coefficient the reciprical.

So now we know that y=1/3x will be perpendicular to your line. If the point goes through (0,4) that means when x is zero, y is 4. If we plug that into our expression 4=1/3*0, we see that we need to add 4 to make this true.

So our answer is y=1/3x+4

Answer:

$23

Step-by-step explanation:

[tex]50 + 19=69\\69/3=23\\Or -$23 in each account[/tex]

6m> 60

m>10

m is greater than or equal to 10

Answer:

if 6m+17 is greater than or equal to 77 it means that m≥10

Answer:

1 < x ≤ 2

Step-by-step explanation:

A graph's slope equals zero when there is a change in the x-value, but there's no change in the y-value.

Here, we can see in the piecewise function that between 1 (not included) and 2 (included), the slope of the graph is 0.

Therefore, 1 < x ≤ 2 is correct

Answer:

C )  ( x - 2 ) ( x + 4 ) ( x - 6 )

Step-by-step explanation:

.