Answer: Your answer is going to be D. (10, -1)
Step-by-step explanation:
Starting off the equation you want to get rid of either x or y ( I did x first)
Take x+3y=7 and multiply the entire equation by -2 -- -2(x+3y=7)
You get -2x-6y=-14 and then add the two equations together
-2x-6y=-14
2x-4y=24 -- You get -10y = 10
y = -1
You can take the -1 and plug it back into either equation.. ( I did x+3y=7)
x+3(-1)=7 -- x-3=7 -- Add the 3 to get the 10 ( x = 10 )
So you have x = 10 & y = -1
(10,-1)
|x| + 9 ≤ <span>7
</span>
Add -9 from each side
<span><span>|x| + 9 </span>+ <span>−9 </span></span>≤ <span>7 + <span>−9
</span></span><span>|x| </span>≤ <span>−<span>2
</span></span>
Now solve the absolute value
(You can't because the absolute value would end up less than 0 and it's not possible for that to happen)
No Solution
Answer:
The answer would be A, D, and C.
Step-by-step explanation:
y=1, so
1 > 2(1) -2
1> 2-2
1>0 TRUE
NEXT.
y=3
3> 2(-1) -2
3>-2-2
3> -4 TRUE
NEXT
y=-2
4>2(2) -2
4 > 4-2
4>2 TRUE!
I hope this helps!
Answer:
£b = £1.68
A = £44.68
Step-by-step explanation:
Given:
A = 5 + 1.9m + b
Where,
A = total cost
m = number of miles travelled
£b = charge for booking online
£5 = fixed charge
A. Harry
A = £29.48
m = 12 miles
£b = ?
A = 5 + 1.9m + b
29.48 = 5 + 1.9(12) + b
29.48 = 5 + 22.8 + b
29.48 = 27.8 + b
29.48 - 27.8 = b
b = 1.68
£b = £1.68
b) If Sue books online and travels 20 miles, what will be
A = 5 + 1.9m + b
= 5 + 1.9(20) + 1.68
= 5 + 38 + 1.68
= 44.68
A = £44.68
The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)
<h3>How to calculate Exponential Growth?</h3>
The formula for exponential growth is;
P = P₀e^(rt)
where;
P = current population at time t
P₀ = starting population
r = rate of exponential growth/decay
t = time after start
Thus, from our question we have;
4500 = 1500 * e^(r * 1)
4500/1500 = e^r
e^r = 3
In 3 = r
r = 1.0986
Thus, the function that represents the growth of this culture of bacteria as a function of time is;
P = 1500e^(1.0986t)
For the culture to double, then;
P/P₀ = 2. Thus;
e^(1.0986t) = 2
In 2 = 1.0986t
t = 0.6931/1.0986
t = 0.631 hours
Read more about Exponential Growth at; brainly.com/question/27161222
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