Select the inequality that models the problem. The sum of two consecutive odd integers is at least 80.
A: n + n + 2 ≥ 80
B: n+ n + 2 > 80
C: n + n + 1 ≥ 80
D: n + n + 1 > 80
Answers
You can use the fact that the term "at least" means less than or equal to.
The inequality that models the given problem is given by
Option A: n + n + 2 ≥ 80
How to form the inequality that models the problem?
We can convert the descriptions to mathematical symbols.
There is sum of two consecutive odd integers.
Consecutive means near each other in numbers counting. Since they are odd, and consecutive, thus, with difference of 2.
Let first odd number be n, then other will be n+2
Their sum is n+n+2
It is at least 80 thus, 80 or bigger than that.
Thus,
n+n+2 ≥ 80
That symbol ≥ is called bigger or equal and it means left side is either bigger or equal to the right value.
Thus,
The inequality that models the given problem is given by
Option A: n + n + 2 ≥ 80
Learn more about inequalities here:
n + n + 2 ≥ 80
2x + 2 ≥ 80
- 2 - 2
2x ≥ 78
2 2
x ≥ 39
The answer is A.
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Solve problems a,b,c,d,e,and f. With the graph
Answers
Answers:
a. f(-4)=2
b. f(0)=0
d. f(-5)=0
e. x when f(x)=-2 answer: 2
f. x when f(x)=0 answer: 0
Sorry, I can’t answer c. f(3)= because when x is three from the x-axis on the graph, the line that meets 3 from the x-axis doesn’t show a whole number y-coordinate on the graph :(
But I hope this helps and answers your question :)
B. 3
C. -9
D. 9
Answers
y = 2|x| + 3
y = 2 (3) + 3
y = 6 + 3
y = 9
Answer D
(5, 16)
B.
(4, 12)
C.
(3, 12)
D.
(2, 9)
Answers
Preliminary work:
Following the BIDMAS order of operations, we can calculate part of it already, and that's the 2•4, which equals 8.
Therefore, the equation now reads:
8+x = y
x = 5:
8+5 = 13
13 ≠ 16
13 ≠ y
x = 4:
8+4 = 12
12 = 12
12 = y
Therefore, the pair is (4, 12)
Answers
Ft. Lauderdale is a city that stretches several miles, and Haiti
is a whole country, that's many miles wide and many miles high.
In order to nail down a reliable answer, you'd really need to specify
one point in Ft. Lauderdale and one point in Haiti.
If you start at the northwest end of Runway-13 at Ft. Lauderdale
Executive Airport, and take the shortest possible route to the east
end of Runway-28 at the Aeroport International de Port au Prince
at Haiti's capital city, you'd have to travel 727.57 miles.
But if you start in Ft. Lauderdale at the intersection of Griffin Rd
and Ravenswood Rd, and take the shortest possible route to the
Dispensaire de Bord-de-Mer hospital on Haiti's north coast, you'd
only have to travel 613.63 miles.
You really need to say WHERE in Ft. Lauderdale and WHERE in Haiti.
♥ From Ft. Lauderale to Haiti is exactly 703 miles
Answers
14.5 × 0.07 = 1.015
Add this number to the original:
14.5+1.015 = £15.515
There is another way, whenever they give us an increased Percentage, they provide us with a hint!
we add that increased percent to 100
100+7=107%
107%=
14.5×1.07= £15.515, it can also be rounded to 15.52
£15.515≈£15.52
Answers
Answer: The slope is 2 -Please mark brainliest
1. Find the X and Y values of each point
X1: 1
X2: -1
Y1: 3
Y2: -1
2. Subtract X1 from X2 and Y1 from Y2
Y: -1-3=-4
X: -1-1=-2
3. Divide the X value by the Y value
-4/-2=2
The slope of the line shown on the coordinate plane is 2.
Answer:
2
Step-by-step explanation:
(X1,Y1)=(1,3)
(X2,y2)=(-1,-1)
slope(m)=y2-y1/x2-x1
= -1-3/-1-1
= -4/-2
= 2