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2 years ago

What is b + 3 (b - 2) = 2

Mathematics

2 answers:

Lunna [17]2 years ago

4 0

Answer:

b=2

Step-by-step explanation:

b+3b - 6 =2

4b=8

b=2

Have a good day

olga_2 [115]2 years ago

4 0

Answer:

b=2

Step-by-step explanation:

Let's solve your equation step-by-step.

b+3(b−2)=2

Step 1: Simplify both sides of the equation.

b+3(b−2)=2

b+(3)(b)+(3)(−2)=2(Distribute)

b+3b+−6=2

(b+3b)+(−6)=2(Combine Like Terms)

4b+−6=2

4b−6=2

Step 2: Add 6 to both sides.

4b−6+6=2+6

4b=8

Step 3: Divide both sides by 4.

b=2

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2 years ago

A certain forest covers an area of 4600km. Suppose that each year this area decreases by 7.75%. What will the area be after 13 y

wolverine [178]

Answer:

$1679.60\ km^2$

Step-by-step explanation:

-We can use the exponential decay function to estimate the size after 13 years:

$P_t=P_oe^{-rt}$

Where:

$P_t$ is the size after t years, t is the time, r is the rate of decay and $P_o$ the original size.

#We substitute and calculate as:

$P_t=P_oe^{-rt}\\\\=4600e^{-13\times 0.0775}\\\\=1679.60$

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4 0

2 years ago

A pedestrian walks 7.4 kilometers west

attashe74 [19]

Answer: 11.8 km

Step-by-step explanation:

The resulting figure is a right angled triangle shown below

$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$