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3 years ago

What is the slope ofthe line -4, 5 and -8, -5

Mathematics

1 answer:

andrey2020 [161]3 years ago

6 0

Answer:the slope is -14

Step-by-step explanation:

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Determine whether the ordered pair (1, 1) is a solution of the inequality. y ≤ -3x+1

solong [7]

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Answer: $\textsf{(1, 1) is NOT a solution of the inequality}$

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Given: $y \le-3x + 1$

Find: $\textsf{Determine if (1, 1) is a solution of the inequality}$

Solution: In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.

<u>Plug in the values</u>

$y \le-3x + 1$

$1 \le-3(1) + 1$

<u>Simplify</u>

$1 \le-3 + 1$

$1 \le-2$

As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.

3 0

2 years ago

Represent the following sentence as an algebraic expression, where "a number" is the letter x.

agasfer [191]

Answer:

x-1

Step-by-step explanation:

it is x-1 because 1 is subtracted from a number and the number is x. when it says subtracted from you flip the equation and put the first number last and put a minus sign.

7 0

3 years ago

Read 2 more answers

k is a an integer for which 1/2^1-k, 1/8. What is the value of k? 1/2^1-k must be equal to 1/8 if i read the question right.

svetlana [45]

Answer:

k = -2

Step-by-step explanation:

If $\frac12^{1-k}=\frac18$

Then

$\frac1{2^{1-k}}=\frac18=\frac1{2^3}$

$1-k = 3$

From this follows k = -2

3 0

4 years ago

Find the third term and the common difference. 1, 4, 7, 10

dusya [7]

Each term is equal the preceding term plus 3. Therefore the next term is 13 and the difference is +3.

6 0

3 years ago

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