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2 years ago

Ugh like terms. Help

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

3 0

Answer:

-4y - 7x^3 + 2

Step-by-step explanation:

So first lets combine the y terms together, doing this we get:

-4y + 1 - x^3 - 3x^3 + 1 - 3x^3

Now lets combine the terms with x^3 together

-4y + 1 - 7x^3 + 1

Lastly, lets add the constants

-4y - 7x^3 + 2

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Find the midpoint of the coordinates (-2,1) and (4,-4)

kow [346]

(-2,1)
(4,-4)

$\\ \rm\longmapsto P(x,y)$

$\\ \rm\longmapsto \left(\dfrac{-2+4}{2},\dfrac{1-4}{2}\right)$

$\\ \rm\longmapsto \left(\dfrac{2}{2},\dfrac{-3}{2}\right)$

$\\ \rm\longmapsto \left(1,\dfrac{-3}{2}\right)$

6 0

2 years ago

3. if kx² + 2x + k = -kx have equal roots, find the values of k.

crimeas [40]

Answer:

k = - $\frac{2}{3}$ , k = 2

Step-by-step explanation:

Using the discriminant Δ = b² - 4ac

The condition for equal roots is b² - 4ac = 0

Given

kx² + 2x + k = - kx ( add kx to both sides )

kx² + 2x + kx + k = 0 , that is

kx² + (2 + k)x + k = 0 ← in standard form

with a = k, b = 2 + k and c = k , thus

(2 + k)² - 4k² = 0 ← expand and simplify left side

4 + 4k + k² - 4k² = 0

- 3k² + 4k + 4 = 0 ( multiply through by - 1 )

3k² - 4k - 4 = 0 ← in standard form

(3k + 2)(k - 2) = 0 ← in factored form

Equate each factor to zero and solve for k

3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - $\frac{2}{3}$

k - 2 = 0 ⇒ k = 2

5 0

3 years ago

Find the product. state your answer in standard form (x+7)(x squared + 6x - 8)

USPshnik [31]

Answer:

${x}^{3} + 13 {x}^{2} + 34x - 56$

Step-by-step explanation:

$(x + 7)( {x}^{2} + 6x - 8) \\ = x ( {x}^{2} + 6x - 8) + 7( {x}^{2} + 6x - 8) \\ = {x}^{3} + 6 {x}^{2} - 8x + 7 {x}^{2} + 42x - 56 \\ = {x}^{3} + 6 {x}^{2} + 7 {x}^{2} + 42x - 8x - 56 \\ = {x}^{3} + 13 {x}^{2} + 34x - 56 \\$

6 0

3 years ago

Read 2 more answers

Solve each inequality. Graph the solution on a number line.

svetoff [14.1K]

Answer:

n>2 2/3

Draw a filled dot at a little more than 2 1/2 and continue the line to the right.

Step-by-step explanation:

Subtract 1/3 from both sides to get

2 2/3

Flip the inequality

n> 2 2/3

I hope this helps!

4 0

3 years ago

Help pleasee!!! Tyyyyy

Dahasolnce [82]

Answer:

G. 7

Explanation:

The longest side must be less than the sum of the two shorter sides.

The difference between the longest and shortest sides must be less than the middle side.

l+a = 11

l < (a + 4) ... l < (11 - l + 4)

... 2 l < 15 ... l < 7.5

--Variables

l = 7 (Longest Side/Answer)

a = 4 (Other Missing Length)

m = 4 (Side Given)

8 0

2 years ago