Mathematics High School

write a linear function with the values f(-1)=8 and f(5)=6

Answers

Answer 1
(-1,8) and (5,6) are points on the line.
Slope of line = (8-6)/(-1-5) = 2/(-6) = -⅓
y-6 = -⅓(x-5)
y = -⅓x + 5/3 + 6 = -⅓x + 7⅔

Related Questions

If varies inversely as . It is known that = 10 when = 3, find the value of when = 5.

Answers

Answer:

y = 6

Step-by-step explanation:

If x varies inversely proportional as y.

[tex]x=\dfrac{k}{y}[/tex], k is constant of proportionality

or

k = xy

When x = 3 and y = 10

k = 3×10

k = 30

Put x = 5,

[tex]y=\dfrac{k}{x}\\\\y=\dfrac{30}{5}\\\\y=6[/tex]

So, the value of y is 6 when x is 5.

which number is equal to 15 a)0.015 b)1.5 c)150/100 d)3/20

Answers

Answer:

c

Step-by-step explanation:

Answer: 150/100

Step-by-step explanation:

PLEASE HELP ASAP! ILL MARK BRAINLEST i feel like i’m missing one

Answers

Answer:

The ans is correct. But I think C is also correct.

Step-by-step explanation:

Complete the statements.

Graph ____has one real root.
Graph ____ has a negative discriminant.
Graph ____has an equation with coefficients

Answers

Is there supposed to be a picture I’m sorry I don’t see it
Graph b has one real root
Graph C has a negative discrimination
Graph A has an equation with coefficients

What is the answer to this question?

Answers

The area of the shape is 230 cm.

PLEASE HELP, MARKING BRAINLIST!

Answers

Answer:

2 miles

Step-by-step explanation:

because they completed the loop twice:1x2=2

Answer:

tw0 miles.

Step-by-step explanation:

if its 0ne mile l0ng, and the went around twice, it w0uld be tw0 miles :>

Write an equation of the line that passes through the pair of points. (0, 1), (5, 3)​

Answers

Answer:

Step-by-step explanation:

(3 - 1)/(5 - 0)= 2/5

y - 1 = 2/5(x - 0)

y - 1 = 2/5x - 0

y = 2/5x + 1

A bird was sitting 12 feet from the base of an oak tree and flew 20 feet to reach the top of the tree. How tall is the tree?

Answers

Answer:

It should be 12+20= 32 ft

Step-by-step explanation:

3 1/2 divided by 3/4

Answers

4.666. Good luck!!!!!
4.666 I THINKKKK I NEED MORE WORDS

An arithmetic sequence has this recursive formula:
a1=9
an=an-1 -3
What is the explicit formula for this sequence?
A. an=9+(n-1)(-3)
B. an=-3+(n-1)9
C. an=9+(n-3)(-1)
D. an=-1+(n-9)(-3)

Answers

Answer:

The correct answer is:

Option A. a_n=9+(n-1)(-3)

Step-by-step explanation:

Given that

a1 = 9

[tex]a_n = a_{n-1}-3[/tex]

We can see that in recursive formula the next term is being obtained by subtracting 3 from previous term

That means that the common difference is -3

We also know the first term

The general form of explicit formula for an arithmetic sequence is:

[tex]a_n = a_1 + (n-1)(d)[/tex]

We know that a1 = 9 and d = -3

Putting the values we get

[tex]a_n = 9+(n-1)(-3)[/tex]

Hence the correct answer is:

Option A. a_n=9+(n-1)(-3)

solve for x
2(x - 2) + 3 = 2x - 1

Answers

9514 1404 393

Answer:

  x can be any value (infinite number of solutions)

Step-by-step explanation:

The equation simplifies to ...

  2(x -2) +3 = 2x -1

  2x -4 +3 = 2x -1

  2x -1 = 2x -1

This is true for every value of x. There are an infinite number of solutions.

One less than five times a number is fewer
than twenty-four.

Answers

Answer:

x < 5

Step-by-step explanation:

[tex]5x - 1 < 24\\5x < 25\\x < 5[/tex]

Answer:

any number under 5

Step-by-step explanation:

5(5) -1 =24

so anything under that would equal fewer than 24

Is this what you're asking?

What is the solution to the inequality? 6x - 5 > -29


A. x 4

C. x > -4

D. x < 4

Answers

Answer: A

Step-by-step explanation:

How is (5,9) different than (-5,9)

Answers

Because one is negative and one is positive

Answer:

(5,9) is a reflection of (-5,9). One of the x values are positive while the other is negative.

80^2 - 45^2 = a^2 - b^2

ans pls in working, thnx in advance

Answers

Answer:

[tex]{a}^{2} - {b}^{2}= {(80)}^{2} -{(45)}^{2} \\(a + b)(a - b) = (80 + 45)(80 - 45) \\ = 125 \times 35 = \boxed{ 4375}✓[/tex]

4375 is the right answer.

H = {(2, 5), (3, 5), (4, 5), (5, 5), (6, 5)} Is H a function and why?

Answers

Answer:

h is a function

Step-by-step explanation:i know that h is a function i just dont know why

Jackie bought a 3-pack

Answers

Answer:

Good for her

Step-by-step explanation:

Which function has a domain of all real numbers?

Answers

Answer:

C

Step-by-step explanation:

This is totally wrong lol

PLEASE, PLEASE HELP D:
write the linear equation given :

1. slope = 1/4; y-intercept =7

2. slope = -3; y-intercept = 2/3

3. slope = 2/3; y-intercept = 2/3

4. slope = -2; y-intercept = -1/2

5. slope = -3/4; y-intercept = -3

Answers

Answer:

1. y =1/4x + 7

2.y =-3x + 2/3

3. y =2/3x + 2/3

4.y =-2x - 1/2

5.y =-3/4x -3

Step-by-step explanation:

By using the slope- intercept form of the equation, y=mx + b, where m=slope and b=y-intercept, you can substitute the values of slope and the y-intercepts into the formula y=mx + b

Please I need help!!!!

Answers

Answer:

144g

Step-by-step explanation:

Make a ratio:

15:108

20:x

cross multiply

15x = 2160

x = 144

Apply the Pythagorean Theorem to find the distance between points A and C.
A)
129 units
B)
V40 units
C)
158 units
D)
V116 units

Answers

Answer:

a

Step-by-step explanation:

Solve the system of equations -4x-2y=30−4x−2y=30 and -x+y=6−x+y=6 by combining the equations.elimination

Answers

Answer:

215.00

Step-by-step explanation:

What is the value of x? Use an informal argument to justify your answer *

Answers

Answer:

68°+47°+ x = 180°

115°+ x = 180°

115°-115°+x = 180°-115°

x = 65°

hope it's helpful ❤❤❤❤

THANK YOU.

what is the value of 4|b| - |D|

Answers

Answer:

4b-d

Step-by-step explanation:

On a coordinate plane, point A is (1, negative 2), point B is (2, 1), point C is (3, 1.5), point D is (4, 2).
Point A is rotated 90° counterclockwise around the origin.


Which point is the same distance from the origin as point A?
B
C
D
O

Answers

Answer: A.) B

Step-by-step explanation: i hope this helps you out!

how many months give you 27 years​

Answers

Answer:

324 Months

Step-by-step explanation:

Answer:

324 months according to goggle.

The equation of a line is given below.
9x - 3y=3
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

sorry i’m not gonna graph it but with this info u easily can

the y intercept is -1
slope is 3/1
final equation is y=3x-1

In a game, Erin is rolling a fair number cube with faces numbered 1 to 6. Which BEST describes the probability of rolling an even number?
A. impossible
B. equal to the probability of rolling an odd number
C. less likely than the probability of rolling an odd number
D. more likely than the probability of rolling and odd number

Answers

B because there is 3 odd numbers and 3 even number 1,3,5 are odd and 2,4,6 or even

Solve for x.

x/8 -1.1= -13.9

Answers

Answer:

x(x-8) + 12 = 0.

Step-by-step explanation:

The population of a town is 132,00. The population increases 4% a year. What will be the population in 8 years?

Answers

9514 1404 393

Answer:

  180,651

Step-by-step explanation:

Each year, the population is multiplied by the factor 1 + 4% = 1.04. After 8 years, it will have been multiplied by that factor 8 times. We indicate repeated multiplication like that using an exponent.

  population in 8 years = 132,000 × 1.04^8 ≈ 180,651

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