Write an equation that represents the line. Use exact numbers

Answer:

[tex]a_{n}[/tex] = 9 - 6n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 3 - 3 = - 9 - (- 3) = - 15 - (- 9) = - 6

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = - 6 , thus

[tex]a_{n}[/tex] = 3 - 6(n - 1) = 3 - 6n + 6 = 9 - 6n

The given set of ordered pairs is not a function. The correct option is (C).

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

For the given set of ordered pairs, the first element of each pair belongs to the domain and the second element belongs to the range.

If there are two values of y for the same value of x, then it is not one to one mapping which implies that this ordered pair does not represent a function.

Hence, the given set of ordered pairs is a relation but not a function.

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Answer:

c

Step-by-step explanation:

Answer:

N=+24,-24

Step-by-step explanation:

Well this is a quadratic equation and we can make further deductions using it's discriminant

b²-4ac=0

N²-4(1×144)=0

N²-576=0

N²=576

N=√576

N=+24,-24

The possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

It is given that:

The quadratic equation is:

x² + Nx + 144 = 0

Discriminant will be zero:

D = 0

b²-4ac=0

N²-4(1×144)=0

N²=576

N=√576

N=+24,-24

Thus, the possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

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Answer:

6 + 21r

Step-by-step explanation:

3 ( 2 + 7r )

3 ( 2 ) = 6

3 ( 7r ) = 21r

6 + 21r

Hope this helps dude ^-^

Answer: 6 + 21r

Step-by-step explanation:

distribute the 3 to each thing in the parentheses

so 3(2 + 7r) becomes

3(2) + 3(7r)

6 + 21r

Answer:

1

Step-by-step explanation:

Got it right on edg 2020

Answer:

it's 1

Step-by-step explanation:

Answer:

C-7/8

R-8/9

P-61/66

L-11/18

I-3/4

A-7/12

O-47/55

H-29/40

S-28/33

T-4/5

M-11/12

E-71/84

U-13/42

N-19/20

I swear to god if I don’t get brainliest I’m going to lose it I haven’t done this math in like four years and it kinda took a while.... but I hope it helped u ☺️☺️☺️❤️❤️❤️❤️

Step-by-step explanation:

Answer:

I-9/12 or 3/4

T- 8/10 or 4/5

C- 7/8

A- 7/12

M- 11/12

R- 7/9

O- 36/55

E- 71/84

P- 61/66

H- 29/40

U- 13/42

L- 11/18

S- 28/33

N- 19/20

Step-by-step explanation:

if any are wrong, just lmk and i'll see what I did. But, i'm pretty sure they're right

Answer:

49

Step-by-step explanation:

59 - 49 = 10

Work check:

10 + 49 = 59

Answer:

Y-int : 0, 17

AOS: -3

Vertex: -3, 26

Step-by-step explanation:

Using desmos

and then using that to find your information.

Answer:

The y-intercept is 0,17

The axis of symmetry is -3

The vertex is -3, 26

Step-by-step explanation:

I used Desmos, a graph calculator and then I input the given function. I've attached a picture of the graph below:

Answer: Because people talk about important information

Step-by-step explanation: like a virus, information spreads like wildfire. But good news that has spread around my community is that we have a bunch of motivated people looking forward to feeding the homeless and create a homeless shelter to get back on their feet. Thanks to flyers, friends, and family enough money was raised to successfully build a homeless shelter.

Answer:

x = -9

Step-by-step explanation:

Applying midsegment theorem, we would have the following:

CB = ½(RT)

CB = x + 19

RT = x + 29

Plug in the values

x + 19 = ½(x + 29)

2(x + 19) = x + 29

2x + 38 = x + 29

Collect like terms

2x - x = -38 + 29

x = -9

Answer:

SOLVE FOR C

c=2−

x

6

​

−

x

2

3

​

,x



=0

SOLVE FOR X

{

x=

2−c

3

​

(

5−c

​

+

3

​

)

​

; x=

2−c

3

​

(−

5−c

​

+

3

​

)

​

,

x=−

2

1

​

,

​

c



=2 and c≤5

c=2

​

Answer:

[tex]\frac{(a*a)(b*b*b)}{c*d}[/tex]

Step-by-step explanation:

[tex]\frac{a^{2} * b^{3}}{cd}[/tex]

A number to an exponent is the number times itself. A number to the "n"th power would be that number times itself "n" times.

This means that the fraction above could also be expressed as;

[tex]\frac{(a*a)(b*b*b)}{c*d}[/tex]

If these parameters, "a", "b", "c", and "d" are given a value, then one can solve this equation.

Answer:

y=-3x-13

Step-by-step explanation:

Plug in the -2 and -4 for the y and x. The slope is the same

1) -4 = -3 (-3)+b

2) -4=9+b

3) -4-9=b

4) -13=b

The equation is y=-3x-13

Answer:

A. -1/5

B. 8 gallons

C. 75 miles driven

Step-by-step explanation:

Part A is essentially just asking for the slope, which is written as a fraction with the numerator being the number of units the line goes up/down and the denominator being the number of units the line goes left/right. Because the line is going down from left to right, the slope is negative. The slope is -1/5.

Part B can be answered by simply looking at the graph and seeing where the line is at above 175 miles, which is 8 gallons.

Part C can be answered in the same way as Part B, by looking at where the line is at when level with 12 gallons, which is 75 miles driven.

Answer:

My answer is at the gas station. I hope my answer helped.

When Lucy traveled to the post office and then to the gas station the angle was 90 degrees, at the post office. Then when Lucy was traveling back home from the gas station the angle was a 45 degree. So the smallest angle made during her tip was at the gas station.

Step-by-step explanation:

2= 15x-35+20y

3= 4(4x-3)

4= 6(6x-1)

5= 24x-109

6= 7.5x+20y

Answer:

(46w+135) dollars

Step-by-step explanation:

Given that,

Amount in savings account = (10w+110) dollars

Amount in checking amount = (36w+25) dollars

We need to find an expression that represents the total in both accounts. It is simply the sum of amount in the savings account and checking amount.

Sum = (10w+110) dollars + (36w+25) dollars

= (10w+36w) + (110+25)

= (46w+135) dollars

Hence, the required expression is (46w+135) dollars

Answer:

139%

Step-by-step explanation:

divide 89 by 124 to get 1.393

Answer:

21

Step-by-step explanation:

First we do the problem inside the (), 3 x p = 9, 6 x r = 12, 9 - 12 = -3.

Now we do the problem outside of the (), -3 x -3 equals 9 because 2 negatives make a positive. Then we add 9 to 12 to get 21 :D

Answer:

$

Step-by-step explanation:

Answer:

358

Step-by-step explanation:

f(x) = 3x² - 5

f(-11) = 3(-11)² - 5

f(-11) = 3(121) - 5

f(-11) = 363 - 5

f(-11) = 358

Answer:

53 seats per row

Step-by-step explanation:

Given that:

Capacity = 1855

Let number of rows = x

Hence, Number of seats per row = x + 18

The Area of auditorium = capacity

Area of rectangle = Length * width

1855 = x * (x + 18)

1855 = x² + 18x

x² + 18x - 1855 = 0

x² + 53x - 35x - 1855 = 0

x(x + 53) - 35(x + 53) = 0

(x - 35) = 0 or (x +53) = 0

x = 35 or x = - 53

Hence x = 35 ; (x can't be negative)

Number of seats per row = 35 + 18 = 53

Using a quadratic equation cal

Explanation:

f(3) means the value of f(x) when x = 3.

Locate 3 in the x column. The value just next to this is 9.

Therefore, f(3) = 9.

Answer:

$88

Step-by-step explanation:

48/12= 4

for another 10 she pays another $40

Answer:

$88

Step-by-step explanation:

Answer:

The distance between points C and D is 5.83

Step-by-step explanation:

We need to find distance between points C and D

Looking at the graph we can find coordinates (x,y) of points C and D

Coordinates of point C are: (-4,3)

Coordinates of point D are: (1,0)

The formula used to calculate Distance is:

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}[/tex]

Putting values and finding distance between points C and D

[tex]x_1=-4, y_1=3, x_2=1, y_2=0[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}\\Distance=\sqrt{(1-(-4))^2+(0-3)^2} \\Distance=\sqrt{(1+4)^2+(-3)^2} \\Distance=\sqrt{(5)^2+(-3)^2} \\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\ Distance=5.83[/tex]

So, the distance between points C and D is 5.83