All categories

2 years ago

Write an expression to represent the product of 6 and the square of a number plus 15.

Mathematics

1 answer:

Leona [35]2 years ago

5 0

Answer:

D (6)

Step-by-step explanation:

6x^2 + 15

the number next to the variable ( the unknown) is always the coefficient

You might be interested in

Factor the expression over the complex numbers.<br><br><img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2B18" id="TexFormula1

AleksAgata [21]

Here we are given the expression:

$x^{2}+18$

Now let us equate it to zero to find x first,

$x^{2}+18=0$

Now subtracting 18 from the other side,

$x^{2}=-18$

taking square root on both sides,

So we will get two values of x as ,

$x=3\sqrt{-2}$

$x=-3\sqrt{-2}$

Now we can write square root -1 as i,

So our factors become,

$x=3i\sqrt{2}$

$x=-3i\sqrt{2}$

Answer:

The final factored form becomes,

$(x+3i\sqrt{2})(x-3i\sqrt{2})$

7 0

2 years ago

Read 2 more answers

Which expressions are equivalent to 1.5?

3241004551 [841]

Answer:

B and C

Step-by-step explanation:

We can just solve each to find which expressions are equal to 1.5.

A) 0.15 × 100 = 15

B) 15.0 ÷ 10 = 1.5

C) 0.15 × 10 = 1.5

D) 0.15 ÷ 10 = 0.015

E) 1.5 ÷ 100 = 0.015

From our results, we see that B and C are the only answers that equal 1.5.

6 0

2 years ago

Which of the following equations represents a line that is perpendicular to

Andreyy89

Answer:

$\large\boxed{y=\dfrac{1}{2}x}$

Step-by-step explanation:

$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================$

$\text{We have the equation:}\ y=-2x+4\to m_1=-2.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-2}=\dfrac{1}{2}.\\\\\text{We have the equation:}\ y=\dfrac{1}{2}x+b.\\\\\text{Put the coordinate of the point (4, 2) to the equation:}\\\\2=\dfrac{1}{2}(4)+b\\\\2=2+b\qquad\text{subtract 2 from both sides}\\\\0=b\to b=0.\\\\\text{Finally:}\\\\y=\dfrac{1}{2}x$

8 0

2 years ago

Leonard did this work to solve an equation. Did he make an error?

raketka [301]

Leonard made an error when he multiplied a negative by a negative and got a negative
It should look like this:
-20x + 35 + 8 = 3x
Hope this helps!

7 0

2 years ago

I would appreciate it if someone helped me:)

Evgesh-ka [11]

Answer:

24 more chocolotae chip cookies are sold

Step-by-step explanation:

CCC 7(15)+6 105+6=111

SC 6(15)-3 90-3 = 87

111-87 = 24

8 0

2 years ago