The following solutions to the given system of inequalities shown above would be option c : (-3, -5) option d : (0, 4) option e. (4, 4) and option f. <span>(2, -1)
So how did I know the answer. To check this, you just have to substitute the values.
For example let us take option c (-3, -5)
y </span><span>< 3x + 5
-5 </span><span>< 3(-3) + 5
-5 </span><span>< -9 + 5
-5 </span><span>< -4 <<You see that -4 is greater than -5 which makes this inequality correct. This is the same process as with the other correct options.
Hope that this answer helps.</span>
What do you need help with?
Firstly, we have to find out what 10% of $25000 is. To do this, multiply $25000 by 0.1 (10% in decimal form):
. <em>$2500 is the 10% raise.</em>
Next, to find your first new salary, add $25000 and $2500 together:
. <u>$27500 is your new salary after the 10% raise.</u>
Next, we need to find 10% of $27500. It's a similar process as to finding 10% of $25000.
. <em>$2750 is your 10% cut.</em>
Next, since this is a cut, subtract $2750 from $27500.
. <u>$24750 is your new salary after the 10% cut.</u>
Next, to find the percentage change, firstly divide $24750 by $25000.
. Now this shows that your current salary is 99% of what you used to make. It is <em>not</em> how much less you make. To find how much less it is, subtract 99% from 100%:
. <u>Your current salary is 1% less than what you used to make.</u>
Answer:
-0.7
Step-by-step explanation:
First do 3.2-1.8= 1.4. So now we know that -2n=1.4. Next you solve for n to get the answer of -0.7 with your answer of the third option.
<h3>
Answer: 74</h3>
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Work Shown:
h(x) = 7x-5
h(2) = 7(2)-5
h(2) = 14-5
h(2) = 9
f(h(2)) = f(9)
f(x) = x^2-7
f(9) = 9^2-7
f(9) = 81-7
f(9) = 74
f(h(2)) = 74
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Here's a slightly alternative approach:
f(x) = x^2 - 7
f(h(x)) = ( h(x) )^2 - 7
f(h(x)) = ( 7x-5 )^2 - 7
f(h(2)) = ( 7*2-5 )^2 - 7
f(h(2)) = ( 14-5 )^2 - 7
f(h(2)) = ( 9 )^2 - 7
f(h(2)) = 81 - 7
f(h(2)) = 74