Write a function rule for table
Is it a, b, c or d?

Write A Function Rule For TableIs It A, B, C Or D?

Answers

Answer 1

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 5 ) ← 2 ordered pairs from the table

m = [tex]\frac{5-4}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1

The line crosses the y- axis at (0, 3 ) → c = 3

y = x + 3 ← equation of line → A


Related Questions

The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.

Answers

Answer:

d = 7

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

Give a₁₀ = 67 and a₁ = 4 , then

a₁ + 9d = 67

4 + 9d = 67 ( subtract 4 from both sides )

9d = 63 ( divide both sides by 9 )

d = 7

What can you multiply by to find:

50% of a number?
10% of a number?
75% of a number?

Answers

Answer:

number · 0.50 = 50% of a number

number · 0.10 = 10% of a number

number · 0.75 = 75% of a number

Step-by-step explanation:

50% = 0.50

10% = 0.10

75% = 0.75

Hi Help me with question 6b) pls

Answers

Answer:

k = 9

Step-by-step explanation:

Consider the pattern on the right side , that is

[tex]T_{k}[/tex] = k(k + 2) + 1 = k² + 2k + 1

Equating

k² + 2k + 1 = 100 ( subtract 100 from both sides )

k² + 2k - 99 = 0 ← in standard form

(k + 11)(k - 9) = 0 ← in factored form

Equate each factor to zero and solve for k

k + 11 = 0 ⇒ k = - 11

k - 9 = 0 ⇒ k = 9

But k > 0 , then k = 9

URGENT!!! THANK YOU!!!!!

Answers

Answer:

101,100

280

Here's your answer

At the school dance, between 6 and 7pm, 10 students per minute arrived. If there are 2050 students in the school,
what percent of them arrived at the dance between 6 and 7pm?

Answers

Answer:

600 is 29.268292682927% of 2050.

29.30% rounded off 1 decimal place (tenths)

29.27% rounded off 2 decimal places (hundredths)

Step-by-step explanation:

6-7pm is 1 hr.

1hr = 60 min

10 students per min

60 min * 10 = 600

600 ÷ 2050 = 0.29268292682927 = 29.268292682927%

Solve the following system of equations.

3x^2 + 4y^2 = 76
5x^2 - 3y^2 = -28

Solution(s):

Answers

Answer:

[see below]

Step-by-step explanation:

I graphed the system of equations.

When graphed, the two equations intercept 4 times.

(-2,4), (2,4), (-2, -4), and (2, -4) are the solutions to the system.

Hope this helps.

Over 27.5 days, a lake's water level changed by an average of −1.37 centimeters each day.

What was the total change in the water level?

Enter your answer as a decimal in the box.

Answers

Answer:

-37.675

Step-by-step explanation:

27.5 X -1.37 = -37.675

A baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?

Answers

Answer:

the baseball traveled 66 feet per second if that helps

Step-by-step explanation:

If you subtract 17 from my number and multiply the difference by ​-2, the result is ​-10." What is the ​number?

Answers

Answer:

22

Step-by-step explanation:

-10/-2 is 5

5+17 is 22


Multiply (5.6 x 10") (6.1 x 10* )and write the
answer in scientific notation.

Answers

Answer:

 3.416 x 10^(" + * + 1)

Step-by-step explanation:

The exponents of (5.6 x 10") (6.1 x 10* ) seem incorrect.  Whatever they are, do the following:

1) multiply 5.6 times 6.1.  Result = 34.16

Add the two exponents:  (" + *)

The result is 34.16 x 10^(" + *)

Then move the decimal point one to the left and add 1 to the 10 exponent:

3.416 x 10^(" + * + 1)

Catherine walks her dog
[tex] \frac{3}{4} [/tex]
mile everyday. How far does she walk each week?:

Answers

Answer:

[tex]5\frac{1}{4}[/tex]

Step-by-step explanation:

Catherine walks her dog 3/4 a mile everyday.

We want to find how far she walks each week.

There are 7 days a week and she walks 3/4 a mile everyday so weekly she walks 3/4 * 7 = 5  1/4 mile a week.

5.25 miles or 21/4 miles

3/4 x 7 = 5.25 (21/4 in fractions)

help!! due tommorrow

Answers

Answer:

a and d

Step-by-step explanation:

these simplify to .77 for A and .81 for B

An equilateral triangle of side 20cm is inscribed in a circle. calculate the distance of a side of the triangle from the centre of a circle. ​

Answers

Answer:

5.76 cm

Step-by-step explanation:

When we have an equilateral triangle, we can deduce that radius of inscribed circle is ,

R = side * sqrt (3) / 6

Here, side is 20 cm.

And distance from center of inscribed circle to side of triangle is nothing but radius of inscribed circle.

So, R = 20 * sqrt (3) / 6 = 20 * 1.73 / 6 = 5.76 cm

can anyone please help

Answers

Answer:

Adult tickets = $73.5

Child tickets = $20.5

Step-by-step explanation:

[tex]{ \rm{3x + 5y = 50 - - - \{eqn \: 1 \}}} \\ { \rm{x + 5y = 31 - - - \{eqn \: 2 \}}} \\ [/tex]

• Subtract eqn 2 from eqn 1:

[tex]{ \rm{2x = 21}} \\ { \rm{x = 10.5}}[/tex]

[tex]{ \rm{10.5 + 5y = 31}} \\ { \rm{5y = 20.5}} \\ { \rm{y = 4.1}}[/tex]

Solve the following for x: 7/x=100/75​

Answers

Answer:

9.31

Step-by-step explanation:

7/x=100/75

7/x=1.33

x=9.31

Answer: x = 5 1/4

Step-by-step explanation: 7/x = 100/75​ (7)(75) = (100)(x)

100x/100 = 525/100 x = 21/4 x = 5 1/4

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 65% pure antifreeze. The company wants to obtain 195 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Answers

Answer:

Five Gallons Of Water

Step-by-step explanation:

If u mixed it to Antifreeze And U have A Premium Solution U can Mixed it

There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool? PLEASE HELP THE CORRECT ANSWER WILL GET BRAINLIEST ANSWER

Answers

Answer:

71/120

Step-by-step explanation:

You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can

represent the measures of an angle and its supplement as x and (180 - x )º. Use these expressions to

find the measures of the angles described.

The measure of an angle increased by 24° is equal to the measure of its complement.

The measure of the angle is

Jº and the measure of its complement is

Answers

Answer:

33°90° -J°

Step-by-step explanation:

1)

If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...

  x +24 = 90 -x

  2x = 66 . . . . . add x-24

  x = 33 . . . . . . divide by 2

The measure of the angle is 33°.

__

2)

Using J for x in the given complement relation:

The measure of the complement of J° is (90 -J)°.

The cost was 1,784 . they also had to pay 7.25% sales tax. What was the total amount paid

Answers

Answer:

1913.34

Step-by-step explanation:

1784x0.0725=129.34

129.24+1784.00=1913.34

Work out 247 as a percentage of 380.

Answers

Answer:

65%

Step-by-step explanation:

You can use the equation " is over of " to solve this. 247/380 * ?/100. After simplifying, you get 24700/380  which equals 65%.

Brainliest would be appreaciated! :-)

I think the answer is 65%. Hope that helps.

Solve the equation below by completing the square. Circle the number that is added to both sides. x2 - 10x = -18 ​

Answers

Answer:

x = ±[tex]\sqrt{7}[/tex] - 5

Step-by-step explanation:

x^2 - 10x = -18

x^2 - 10x + 18 = 0

(x + 5)^2 - 5^2 + 18 = 0

(x + 5)^2 - 7 = 0

(x + 5)^2  = 7

[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]

x = ±[tex]\sqrt{7}[/tex] - 5

please help me :(
NO LINKS PLEASE

Answers

Answer:

Option A

Step-by-step explanation:

Given equation is:

[tex]x^2+1=2x-3[/tex]

Setting it up as a quadratic equation.

[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]

Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:

a = 1 , b = -2 , c = 4

Putting the values in quadratic equation:

[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

A

Step-by-step explanation:

a = 1, b = -2, and c =4

d = -b +- sqrt (b^2 - 4*a*b)

= - (-2) +- sqrt ((-2)^2 - 4*1*4)

The data in this table represents a linear function.
What is the slope of this line?
2/7
1/3
3
7/2

Answers

Answer:

3

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} = 3[/tex]

X = 5 – 2 = 3

Y = 16 – 7 = 9

[tex]0 = arctan(\frac{y}{x}) = 71.565051177078°[/tex]

[tex]Distance (d) = \sqrt{X2} + Y2 = \sqrt{90} = 9.4868329805051[/tex]

Equation of the line:

y = 3x + 1

When x=0, y = 1

When y=0, x = -0.33333333333333

i need help with this like... now besties

if h(t) = 220 + 1.5x represents the height of a chair lift as a function of time where t is time (in seconds) and h is height (in feet). What would the ordered pair (12, 334) represent on the coordinate plane?

Answers

Step-by-step explanation:

it represents a point on the line defined by the function equation.

it means that after 12 seconds the chair lift will have reached a height of 334 ft (after a starting height of 220 ft).

Drag the numbers below to put them in order from least to greatest:
8.476
8.33
8.44
8.382
8.341
8.3

Answers

Answer:

8.3, 8.33, 8.341, 8.382, 8.44, 8.476

Step-by-step explanation:

Answer:

8. 3<8.33<8.341<8.382<8.44<8.476,hope i help you❤️

Complete the tables of values. X 4â’x â’1 4 0 a 2 b 4 c a = b = c = x ( 2 3 ) x â’1 3 2 0 d 2 e 4 f d = e = f =.

Answers

The corresponding values of d, e ad f are 1, 1/16, and 1/256 respectively

Find the table of values attached. From the given table the function of the output is expressed as [tex]g(x) = 4^{-x}[/tex]

If x = 0, then;

[tex]g(0) = 4^{-0}\\g(0) = 1/4^0\\g(0)=1/1 = 1\\[/tex]

If x  = 2

[tex]g(2) = 4^{-2}\\g(2) = 1/4^2\\g(2)=1/16[/tex]

If x = 4;

[tex]g(4) = 4^{-4}\\g(4) = 1/4^4\\g(4)=1/256[/tex]

Therefore the corresponding values of d, e ad f are 1, 1/16 and 1/256 respectively

Learn more on table of functions here: https://brainly.com/question/3632175

Answer:

a =  ⇒ 1 

b = ⇒ 1/16

c = ⇒ 1/256

d =  ⇒ 1 

e =  ⇒ 4/9

f =   ⇒ 16/81

I NEED HELP!!!

solve x^3 - 6x^2 - 7x + 60 by factoring. show all work
(using the method in the picture below)

Answers

Answer: x = -3, 5, 4

Step-by-step explanation:

Don't have time for it

5(x-4)+?=+12x-21 what is the answer?

Answers

5(x-4) + ? = 12x - 21

5x - 20 + ? = 12x - 21

? = 7x -1  

ok done. Thank to me :>

7.
Quentin takes piano lessons
each month. Last month, he
took 4 piano lessons and paid
$104. This month, he plans to
take 2 piano lessons. How much
will Quentin pay this month?

Answers

Answer:

52$

Step-by-step explanation:

104 / 4 = 26$ per lesson

2 piano lessons = 26 x 2 = 52$

So
104 divided by 4 is 26. Then you multiply that to 26, which is 52, so the answer is 52.

104/4=26x2=52

The instructions for a fruit drink say to mix one part blackcurrant juice with four parts water. I
want to make one litre of this fruit drink. How much blackcurrant juice should I use? Give your
answer in millilitres.
ml

Answers

Answer:

you should use minimum 8 black cur

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