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3 years ago

3. Determine the slope of the line that has the following coordinates: (-3, 6) (4,-2)

Mathematics

1 answer:

poizon [28]3 years ago

5 0

Answer:

-8/7

Step-by-step explanation:

(-3, 6) & (4,-2)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-2 - 6) / (4 - (-3))

Simplify the parentheses.

= (-2 - 6) / (4 + 3)

= -8 / 7

Simplify the fraction.

= -8/7

This is your slope.

Hope this helps!

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Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind

Debora [2.8K]

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

8 0

3 years ago

Show what you know: work out the problems below and submit a photo of your work to receive full credit.

Alexxandr [17]

The model for representing the ratio of the number of orange and green rolls are $\dfrac{3}{2}$ .

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G

<h3>What is ratio?</h3>

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.

A model that represents the ratio of different colored streamers.

$\dfrac{O}{G}=\dfrac{3}{2}$

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.

D=3O and D=2G

3O=2G

Hence the models are $\dfrac{O}{G}=\dfrac{3}{2}$ and 3O=2G.

To know more about Ratios follow

brainly.com/question/4931057

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6 0

1 year ago

Let f(x) =[[x]], what is f(-5.2)

ANEK [815]

flooring a value, simply means, dropping it to the closest integer, so for the floor function or ⌊x⌋, that means

⌊ 2.5 ⌋ = 2

⌊ 2.00000001 ⌋ = 2

⌊ 2.999999999999⌋ = 2

⌊ -2.0000000001⌋ = -3

⌊ -2.999999999999⌋ = -3

let's recall that on the negative side of the number line, the farther from 0, the smaller, so -1,000,000 is a tiny number compared to the much larger -1.

⌊ -5.2 ⌋ = -6.

5 0

3 years ago

Tom bought 7 new baseball trading cards to add to his collection the next day his dog ate half of his collection. There are now

Ede4ka [16]

Answer: 83 cards

Step-by-step explanation:

38 x 2 + 7 = 83

6 0

2 years ago

Solve for x:<br>7x(x+1.8)=0<br><br>Need help ASAP.

andrew11 [14]

Answer:

i got you

Step-by-step explanation:

for x1= -1.8 and x2=0

3 0

2 years ago

Read 2 more answers