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3 years ago

Simplify (4x+9) - (6x-12)

Mathematics

2 answers:

atroni [7]3 years ago

4 0

The answer to this equation is:
10x-3

melomori [17]3 years ago

4 0

Answer:

−2x + 21

Without parenthesis, the answer would be different.

Step-by-step explanation:

1) Distribute the Negative Sign:

4x + 9 + −1(6x−12)

4x + 9 + −1(6x) + (−1)(−12)

4x + 9 + −6x + 12

2) Combine Like Terms:

4x + 9 + −6x + 12

(4x + −6x) + (9 + 12)

−2x + 21

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Veronika [31]

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4 years ago

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aliina [53]

It is true, how??Here is explanation:

Consider a quadrilateral ABCD .Join diagnol AC so two triangles ABC & ACD will form.
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3 years ago

Given the function f(x) = 2-4, determine the slope of the tangent line of f at

AlladinOne [14]

Answer:

Slope of the tangent line at x=-1

$(\frac{dy}{dx})_{x=-1} = e^{-5}$

Step-by-step explanation:

Explanation:-

Given function

y = f(x) = e ˣ⁻⁴ ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = e^{x-4} \frac{d}{dx} (x-4)$

$\frac{dy}{dx} = e^{x-4} (1)$

Slope of the tangent line

$(\frac{dy}{dx})_{x=-1} = e^{-1-4} = e^{-5}$

4 0

3 years ago

Pls help with this question

inna [77]

Answer:

Opposite sides are congruent

Step-by-step explanation:

First off the equals sign with the wave over it means congruent. It wouldn't be either answer with diagonals because the segments that are congruent are sides of the parallelogram not diagonals. Next even though the congruent sides are parallel by providing the information (AB being congruent to CD and AD bring congruent to CB) opposite are parallel wouldn't be the answer because of what you are given.

Sorry if its wordy I hope this helps : )

5 0

3 years ago

Joshua’s computer loan statement said he would pay $1,244.34 in simple interest for a three-year loan at 12.4%. How much did Jos

rusak2 [61]

Answer: Josh borrowed $ 876 to buy the computer.

Step-by-step explanation:

Formula for simple interest : I = Prt

, where P = principal amount

r= rate of interest ( in decimal)

t=time (in years)

Total amount with simple interest to pay : A = P+I

⇒ A = P +Prt

⇒ A = P(1 +rt) (i)

As per given , A = $1,244.34

r= 12.4% = 0.124

t= 3 years

Now, put these values in (i) , we get

$1244.34=P(1+0.124)^3\\\\\Rightarrow\ 1244.34=P(1.124)^3\\\\\Rightarrow\ 1244.34=P(1.420034624)\\\\\Rightarrow\ P=\dfrac{1244.34}{1.420034624}\\\\\Rightarrow\ P=876.27$

Hence, Josh borrowed $ 876 to buy the computer.

4 0

3 years ago