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2 years ago

Which expression is equivalent to: (x +9)(x+3)

Mathematics

2 answers:

Serga [27]2 years ago

7 0

Answer:

Step-by-step explanation:

To solve use the FOIL method, First, Outside, Inside, Last. This means to multiply the first terms, the ones on the outsides, the ones on the insides, and finally the last ones.

First, multiply x*x= $x^{2}$

Then, multiply x*3= 3x

Next, multiply 9*x= 9x

Finally, multiply 9*3= 27

To simplify put all of the products together, $x^{2}$ +3x+9x+27, then add like terms $x^{2}$ +12x+27, so the answer is C.

labwork [276]2 years ago

6 0

Answer:

Step-by-step explanation:

x*x=x^2

x*9=9x

x*3=3x

9x+3x=12x

9x3=27

x^2+12x+27

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URGENT HELP ME PLEASE

Trava [24]

Answer:

(a) $\log_3(\dfrac{81}{3})=3$

(b) $\log_5(\dfrac{625}{25})=2$

(d) $\log_4(\dfrac{64}{16})=1$

(e) $\log_6(36^4)=8$

(f) $\log(100^3)=6$

Step-by-step explanation:

Let as consider the given equations are $\log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?$ .

(a)

$\log_3(\dfrac{81}{3})=\log_3(27)$

$\log_3(\dfrac{81}{3})=\log_3(3^3)$

$\log_3(\dfrac{81}{3})=3$ $[\because \log_aa^x=x]$

(b)

$\log_5(\dfrac{625}{25})=\log_5(25)$

$\log_5(\dfrac{625}{25})=\log_5(5^2)$

$\log_5(\dfrac{625}{25})=2$ $[\because \log_aa^x=x]$

(c)

$\log_2(\dfrac{64}{8})=\log_2(8)$

$\log_2(\dfrac{64}{8})=\log_2(2^3)$

$\log_2(\dfrac{64}{8})=3$ $[\because \log_aa^x=x]$

(d)

$\log_4(\dfrac{64}{16})=\log_4(4)$

$\log_4(\dfrac{64}{16})=1$ $[\because \log_aa^x=x]$

(e)

$\log_6(36^4)=\log_6((6^2)^4)$

$\log_6(36^4)=\log_6(6^8)$

$\log_6(36^4)=8$ $[\because \log_aa^x=x]$

(f)

$\log(100^3)=\log((10^2)^3)$

$\log(100^3)=\log(10^6)$

$\log(100^3)=6$ $[\because \log10^x=x]$

5 0

3 years ago

What is a solution to the equation 1/8=2/5•x

sleet_krkn [62]

The answer is: x=5/16

3 0

2 years ago

Read 2 more answers

Select the correct answer.

jenyasd209 [6]

The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)

A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.

Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)

We have to find second factor of given equation

First we will be rational root theorem to given expression so will get following expression:

$\left(x+1\right)\frac{2x^3-3x^2-3x+2}{x+1}$

So one factor is (x-1) and now simplifying $\frac{2x^3-3x^2-3x+2}{x+1}$ we get 2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)

Hence the expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)

Learn more about Polynomial here:

brainly.com/question/4142886

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1 year ago

CHECK YOUR KNOWLEDGE

PIT_PIT [208]

1. A rent paid
2. B 10

5 0

3 years ago

Help on this 3 questions pleaseeeee!!!!

ra1l [238]

Answer:

14. D

15. A

16. A

Step-by-step explanation:

14. Point slope form formula: y-y₁=m(x-x₁).

When graphing you always want to think x/y for your slope.

X-axis increases by 2 and the Y-axis increases by 10, which would make the slope (m) 2/10 = 1/5.

If your slope is does not come out correct, then you can prove your point.

15. The given information is (-2,2): m=-1.

Given the Point slope formula: y-y₁=m(x-x₁), you can replace m to -1, y₁=2 and x=+2. (Two negatives would make a positive.)

Your answer: y-2=-(x+2)

16. Given: y=4x-7; (3,0)

Parallels lines: Same slope different y-intercepts.

A and D has the same slope and different y-interecepts, but your answer would be A because the equation that was given as a negative y-intercepts.

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2 years ago