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2 years ago

Write a rule to describe the function shown.

Mathematics

1 answer:

I am Lyosha [343]2 years ago

6 0

Answer:

y = -3x

Step-by-step explanation:

(a) Slope

y = mx + b

Choose points (-3, 9) and (3, -9)

m = (-9 - 9)/(3 – (-3))

m = -18/(3 + 3)

m = -18/6

m = -3

=====

(b) y-intercept

y = mx +b

Choose point (0,0).

0 = 0 + b

b = 0

=====

(c) Equation of line

y = mx + b

y = -3x

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Suppose your friend's parents invest $15,000 in an account paying 4 percent compounded annually. What will the balance be after

Contact [7]

Im not real sure if this is it but if you start with 15,000 and its 4% for 5 years then This investment will be worth: $18,250. hope it helps

4 0

3 years ago

Write the first five digits of 1/7 in base 9 expression

kaheart [24]

Compare 1/7 to consecutive multiples of 1/9. This is easily done by converting the fractions to a common denominator of LCM(7, 9) = 63:

1/9 = 7/63

2/9 = 14/63

while

1/7 = 9/63

Then 1/7 falls between 1/9 and 2/9, so 1/7 = 1/9 plus some remainder. In particular,

1/7 = 1/9¹ + 2/63.

We do the same sort of comparison with the remainder 2/63 and multiples of 1/9² = 1/81. We have LCM(63, 9²) = 567, and

1/9² = 7/567

2/9² = 14/567

3/9² = 21/567

while

2/63 = 18/567

Then

2/63 = 2/9² + 4/567

1/7 = 1/9¹ + 2/9² + 4/567

Compare 4/567 with multiples of 1/9³ = 1/729. LCM(567, 9³) = 5103, and

1/9³ = 7/5103

2/9³ = 14/5103

3/9³ = 21/5103

4/9³ = 28/5103

5/9³ = 35/5103

6/9³ = 42/5103

while

4/567 = 36/5103

so that

4/567 = 5/9³ + 1/5103

and so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/5103

Next, LCM(5103, 9⁴) = 45927, and

1/9⁴ = 7/45927

2/9⁴ = 14/45927

while

1/5103 = 9/45927

Then

1/5103 = 1/9⁴ + 2/45927

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/45927

One last time: LCM(45927, 9⁵) = 413343, and

1/9⁵ = 7/413343

2/9⁵ = 14/413343

3/9⁵ = 21/413343

while

2/45927 = 18/413343

Then

2/45927 = 2/9⁵ + remainder

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/9⁵ + remainder

Then the base 9 expansion of 1/7 is

0.12512..._9

8 0

2 years ago

Solve the system of equations using the substitution method.

Delicious77 [7]

Answer:

$x = 14$

$y = -3$

Step-by-step explanation:

Given

$2x + 8y =4$

$x = -3y + 5$

Required

Solve

Substitute $x = -3y + 5$ in $2x + 8y =4$

$2(-3y + 5) + 8y =4$

Open bracket

$-6y + 10 + 8y =4$

Collect like terms

$-6y + 8y =4-10$

$2y =-6$

Divide both sides by 2

$y = -3$

Substitute $y = -3$ in $x = -3y + 5$

$x = -3 * -3 + 5$

$x = 9+ 5$

$x = 14$

8 0

3 years ago

ASAP PLZ I'LL MARK BRAINLIEST What is 8/9 ÷ 2/3?

hram777 [196]

Answer:

4/3

Step-by-step explanation:

Your Welcome

7 0

2 years ago

The graph of a function must be linear if it has what characteristic?

pantera1 [17]

The graph of a function is linear of the graph is a straight line.

3 0

3 years ago

Read 2 more answers