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3 years ago

Simplify the expression 6 (-3b + 1)

Mathematics

1 answer:

finlep [7]3 years ago

7 0

Answer:

−18b+6

Step-by-step explanation:

6(−3b+1)

Use the distributive property to multiply 6 by −3b+1.

−18b+6

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What is the value of x?

Y_Kistochka [10]

I’m pretty sure the value is 80 because that’s a 90° angle. 90 minus that 10 leaves 80

6 0

3 years ago

Find the value(s) of k such that 4x² + kx + 4 = 0 has 1 rational solution

Blababa [14]

Answer:

If you mean only one rational solution, the answer is

$k_1 = 8, k_2 = -8$

If you mean at least 1 rational solution, the answer is

$k\in (-\infty, -8]\cup[8, \infty)$

Step-by-step explanation:

$4x^2 + kx + 4 = 0$

Let's calculate the discriminant.

$\Delta = b^2 - 4ac$

$\Delta = k^2 -4 \cdot 4 \cdot 4$

$\Delta = k^2 -64$

Now, remember that:

$\text{If } \Delta > 0 : \text{2 Real solutions}$

$\text{If } \Delta = 0 : \text{1 Real solution}$

$\text{If } \Delta < 0 : \text{No Real solution}$

Therefore, I will just consider the first two cases.

$k^2 - 64 > 0$

and

$k^2 -64 = 0$

$\boxed{\text{For } k^2 - 64 > 0}$

$k^2 > 64 \Longleftrightarrow k>\pm\sqrt{64} \Longleftrightarrow k\in (-\infty, -8)\cup(8, \infty)$

$\boxed{\text{For } k^2 - 64 = 0}$

$k^2 = 64 \Longleftrightarrow k=\pm\sqrt{64} \implies k_1 = 8, k_2 = -8$

7 0

3 years ago

Help!! <br><br> I think I got these wrong, so please help!! Thank you!

Andrew [12]

Answer:

(x+3)(x+4)(x-4)

x+2 and x-3 are not factors but x-4 is

Step-by-step explanation:

let's factor it :)

x^3 + 3x^2 - 16x -48

first we will factor this:

x^3 + 3x^2

x^2(x + 3)

then factor the second part :

- 16x - 48

-16(x + 3)

so now,

x^2(x + 3) - 16(x + 3)

factor out x+3

(x+3)(x^2 - 16)

factor x^2 - 16

(x+3)(x+4)(x-4)

8 0

3 years ago

Help with this question plz

nika2105 [10]

Answer:

7 millimeters

Step-by-step explanation:

${7 }^{2} = 49$

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3 years ago

!!20 POINTS!!<br> What are the names of three collinear points?

maks197457 [2]

Answer: L, J, K

Step-by-step explanation:

L, J, and K are collinear because they all lie on the same line.

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3 years ago