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Gnom [1K]
3 years ago
5

Solve for

Mathematics
2 answers:
il63 [147K]3 years ago
3 0
Hello there!

y² + 6y + 5 = 0
Let's factor this equation.

(y+1)(y+5) = 0

y + 1 = 0                 y + 5 = 0
      y = -1                      y = -5

So your answers are...
y = -1 , y = -5
FinnZ [79.3K]3 years ago
3 0
-------------------------------------------------
Equation
-------------------------------------------------
y² + 6y + 5 = 0

-------------------------------------------------
Factorize it
-------------------------------------------------
(x + 5)(x + 1) = 0

-------------------------------------------------
Apply the zero product property rule
-------------------------------------------------
x + 5 = 0 or x + 1 = 0

x = -5 or x = -1

-------------------------------------------------
Answer: -5, -1
-------------------------------------------------
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KonstantinChe [14]

The half life formula is :

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where N(t) = remaining quantity after t years

No = Original Quantity

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From the problem, we have :

N(t) = 30 grams

No = 100 grams

T = 674

Solve for t :

\begin{gathered} 30=100(\frac{1}{2})^{\frac{t}{674}} \\ \frac{30}{100}=(\frac{1}{2})^{\frac{t}{674}} \\ \frac{3}{10}=(\frac{1}{2})^{\frac{t}{674}} \end{gathered}

Take ln of both sides :

\begin{gathered} \ln (\frac{3}{10})=\ln (\frac{1}{2})^{\frac{t}{674}} \\ \ln (\frac{3}{10})=\frac{t}{674}\ln (\frac{1}{2}) \\ t=\frac{674\ln (\frac{3}{10})}{\ln (\frac{1}{2})} \\ t=1170.71 \end{gathered}

The answer is t = 1170.71 years

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Graph the system of equations. {x−y=64x+y=4
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To graph the given system of equation, first find x and y-intercept of each equation.
x-y=6
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When x=0
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Now x-intercept and y-intercept for equation 2.
x+y=4
When x=0
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When y=0
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Now plot these points on the graph, the lines intersect each other at point (5,-1), which is the solution of the given system.

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Answer:

h(1) = 1, h(2) = 3, h(3) = 4

Step-by-step explanation:

Given function h(x)

<u>Need to find :</u>

  • h(1), h(2), h(4)

<u>h(1) falls under the second condition as -2 ≤1<2:</u>

  • h(1) = - (x-1)² + 1 = -( 1 - 1)² + 1 = 1

<u>h(2) and h(4) fall under the third condition as x=2,4 ≥ 2:</u>

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6 0
3 years ago
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