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2 years ago

(x+6)(x-3) solve by multiplying out and combining like terms

Mathematics

1 answer:

pogonyaev2 years ago

8 0

Answer:

x^2 + 3x - 18

Step-by-step explanation:

In order to solve this problem, I recommend using the FOIL method.

F = Front

O = Outer

I = Inner

L = Last

Start by multiplying the fronts which is x with x, which will give you x^2 (X to the second power).

Then, multiply x and -3, which gives you -3x. (Outer)

Third, multiply 6 and x, which gives you 6x. (Inner)

Finally, multiply 6 and -3, which gives you -18. (Last)

Now, there are like terms in the products that we just did which is 6x and -3x combine them together and you will get 3x.

So your results should be

x^2 + 3x - 18

Hope this helps!

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X= 0 Find the slope of a line parallel and perpendicular

Llana [10]

Answer:

Step-by-step explanation:

x=o . so the line is parallel to x-axis.

So the line parallel to the line : x = 0

As the perpendicular line will be parallel to y-axis. so the slope of the line parallel to y-axis is undefined.

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3 years ago

Findℒ{f(t)}by first using a trigonometric identity. (Write your answer as a function of s.)f(t) = 12 cost −π6

allsm [11]

Answer:

$L(f(t)) = \dfrac{6}{S^2+1} [\sqrt{3} \ S +1 ]$

Step-by-step explanation:

Given that:

$f(t) = 12 cos (t- \dfrac{\pi}{6})$

recall that:

cos (A-B) = cos AcosB + sin A sin B

∴

$f(t) = 12 [cos\ t \ cos \dfrac{\pi}{6}+ sin \ t \ sin \dfrac{\pi}{6}]$

$f(t) = 12 [cos \ t \ \dfrac{3}{2}+ sin \ t \ sin \dfrac{1}{2}]$

$f(t) = 6 \sqrt{3} \ cos \ (t) + 6 \ sin \ (t)$

$L(f(t)) = L ( 6 \sqrt{3} \ cos \ (t) + 6 \ sin \ (t) ]$

$L(f(t)) = 6 \sqrt{3} \ L [cos \ (t) ] + 6\ L [ sin \ (t) ]$

$L(f(t)) = 6 \sqrt{3} \dfrac{S}{S^2 + 1^2}+ 6 \dfrac{1}{S^2 +1^2}$

$L(f(t)) = \dfrac{6 \sqrt{3} +6 }{S^2+1}$

$L(f(t)) = \dfrac{6( \sqrt{3} \ S +1 }{S^2+1}$

$L(f(t)) = \dfrac{6}{S^2+1} [\sqrt{3} \ S +1 ]$

7 0

3 years ago

Jordan had 30 minutes left to play 3 innings of his baseball game. If 2 innings lasted 10 minutes each, how much time is left fo

Sladkaya [172]

He has ten minutes left for the last inning

7 0

4 years ago

Find the length of BC.

Umnica [9.8K]

Answer:

BC = 8

Step-by-step explanation:

AB + BC = AC

4x + 8 + 3x - 4 = 32

7x + 4 = 32

7x = 32 - 4

7x = 28

x = 28/7

x = 4

BC = 3x - 4 = 3*4 - 4 = 12 - 4 = 8

3 0

3 years ago

Read 2 more answers

The mean of six consecutive odd integers is 22 what is the smallest of these numbers

svetlana [45]

Let the consecutive odd integers be: x-5, x-3, x-1, x+1, x+3, x+5

Mean = 22

$\frac{x-5 +x-3+ x-1+ x+1+ x+3+ x+5}{6} = 22$

$\frac{6x}{6} = 22$

x = 22

Hence, the odd integers are 17, 19, 21, 23, 25.

The smallest integer is 17.

4 0

3 years ago