Answer:
1. Not True
2. Not True
3. Not True
4. Not True
5. True
Step-by-step explanation:
As given,
1.
2 + 3 = 9
⇒ 5 = 9
Not True
2.
4 > 5 + 7
⇒4 > 12
Not True
3.
9 = 12 + 2
⇒9 = 14
Not True
4.
2 - 3 ≥ 2
-1 ≥ 2
Not True
5.
61 ≠ 5 - 12
⇒61 ≠ -7
True
Answer:
Step-by-step explanation:
Hi student, let me help you out!
<u>.............................................................................................................</u>
<u></u>
First, let's recall the slope formula: 
, where y2 and y1 are y-coordinates; x2 and x1 are x-coordinates.
Plugin the values: 
.
Upon simplifying, we obtain 
.
Upon simplifying this further, we obtain 
.
0 divided by anything results in 0.
✨ ∴, the slope of this particular line is 0, and this line looks something like this: 
.
See, it's a horizontal line, with a rise of 0, meaning that it goes up 0 units.
Hope this helped you out! Ask in comments if even the slightest queries arise.
Best Wishes!
In the number 0.125, there is:
0 in the ones place,
1 in the tenths place,
2 in the hundredths place, and
5 in the thousandths place.
We want to round to the hundredths place, which is 2.
To do this we must look to the next digit.
If it's less than 5, we round down.
If it's more than 5, we round up.
The next digit is 5, though! So what do we do then?
Well, we would look to the next digit again<span> and decide from that.</span>
There isn't really a next digit to decide from, though, is there?
<span>In that case, we just round up.
and we get 0.13</span>
Answer:
(−1, –1.25), (5, –2.75)
Step-by-step explanation:
If "slope-intercept form" is mentioned, then we already know that the function rule is that of a straight line with slope m and y-intercept b.
As we go from (−1, –1.25) to (5, –2.75), x increases by 6 and y decreases by 1.50. Thus, the slope, m, is m = rise / run = -1.50 / 6, or m = -0.25 or -1/4.
Choosing one of the given points at random: (8, -3.5), we start with the slope-intercept form y = mx + b and substitute -1/4 for m, 8 for x and -3.5 for y: y = mx + b becomes -3.5 = (-1/4)(8) + b. Then -3.5 + 2 = b, or b = -1.5.
The desired equation is y = (-1/4)x - 3/2, or y = -0.25x - 1.5
Given that the current salary for Ngozi is $24000 and she earns 3.5% raise yearly, the function that will represent her salary in t years will be:
A=P(1+r)^t
where:
A=future amount
P=principle
r=rate
t=time
thus plugging in the values we shall have:
s(t)=24000(1+3.5/100)^t
s(t)=24000(1.035)^t
thus the answer is:
s(t)=24000(1.035)^t
