<span>Hey there, Lets solve this together.
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<span>The variable (R) will be representing the rate as a decimal.
When you solve for (R) multiply by 100 to get the percentage. A percentage is </span><span>a rate, number, or amount in each hundred.
</span><span>"0.97" will be replaced by "(97/100)"
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<span>Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the given equation
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Rewrite the whole as a fraction using 10 <span> as the denominator :
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The equation now takes the shape :
t • (10f-291)<span> = 0
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<span><span> f = 291/10 = 29.100
</span> t = 0</span>
<span>Positive = Growth
Negative = Decay
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Answer: a=-5
Step-by-step explanation:
2(a + 3) = −4
2a+6=-4
2a=-10
a=-5
The second option is the answer
Answer:
The second option
Step-by-step explanation:
For this problem, there are multiple ways to solve. The easiest here is the cross method. For ax²+bx+c, you find 2 numbers that multiply to ac and add to b, which you replace b with.
ac in this case is -8×3, which is -24. b in this case is 23.
You can go through the factor pairs of -24 to find the ones that add to b. These pairs are (1 and -24, -1 and 24, 2 and -12, -2 and 12, 3 and -8, -3 and 8, 4 and -6, -4 and 6). The only pair that adds to 23 is 24 and -1.
You sub this into the original equation, making 3x²+24x-x-8.
From there, you factorise, making 3x(x+8)-x(x+8).
This can be factorised further to (3x-x)(x+8) by collecting like terms.
**This question involves factorising quadratics, which you may wish to revise. I'm always happy to help!
Answer:
7/5
Step-by-step explanation: To find the square root of a fraction, find the square root of the top and bottom.
Please thank, hope this helps.