<span>g(x) = x^2 + 4x + 3

y-intercept: let x=0. Then y=3. y-intercept is (0,3).

roots: set g(x) = 0 and solve for x. x=-1 and x=-3.

-4
axis of symmetry: find x = -b / (2a), which here is x = ----- = -2
2</span>

6 0

3 years ago

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Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ?

bearhunter [10]

Answer:

$\sf \log_{10}6=0.7781$

Step-by-step explanation:

<u>Given</u>:

$\sf \log_{10} 2 = 0.3010$

$\sf \log_{10} 3 = 0.4771$

To find log₁₀ 6, first rewrite 6 as 3 · 2:

$\sf \implies \log_{10}6=\log_{10}(3 \cdot 2)$

$\textsf{Apply the log product law}: \quad \log_axy=\log_ax + \log_ay$

$\implies \sf \log_{10}(3 \cdot 2)=\log_{10}3+\log_{10}2$

Substituting the given values for log₁₀ 3 and log₁₀ 2:

$\begin{aligned} \sf \implies \log_{10}3+\log_{10}2 & = \sf 0.4771+0.3010\\ & = \sf 0.7781 \end{aligned}$

Therefore:

$\sf \log_{10}6=0.7781$

Learn more about logarithm laws here:

brainly.com/question/27953288

brainly.com/question/27963321

5 0

1 year ago

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What is the sum of 4z -5y + z + y? Represent the sum by beginning with the z term of your sum. DO NOT INCLUDE SPACES.

docker41 [41]

Answer:

-4y+5z

Step-by-step explanation:

8 0

2 years ago

Suppose the population of deer in a state is 15,430 and is growing 2% each year. Predict the population after 8 years.

Dennis_Churaev [7]

A = 15,430(1+.02)^8
A = 18,078.7

5 0

3 years ago