in plain and short, to graph an inequality, we first graph its EQUALITY graph, and then we do the shading.
so to graph y > x + 3, we first graph y = x + 3, which is just a line, and then do a true/false check on a point to see which side we shade.
let's hmmm check the point say (0,2), x = 0, y = 2.
y > x + 3
2 > 0 + 3
2 > 3 <--- is that true? is 2 really larger than 3? nope, so is false.
that simply means that the point (0, 2) is on the false area, so that's the area we do NOT shade, so <u>we shade the other side</u>.
y > x + 3, means "y" is greater than or larger than that line, but not equals, larger not equal, meaning the values on the borderline are not included, so the line is a dashed line.
check the picture below.
to find the slope for the first one, use the formula 
(It's the slope formula)
so... 
then plug in... 
this line has a slope of 0
As for the miles problem, to find mph, the miles have to be at 1.
so... 
therefore, he drove 60.5 mph
Answer:
3, 15, 14
Step-by-step explanation:
x + 5x + ( 5x -1) = 32
11x - 1 = 32
11x = 32 + 1
11x = 33
11x/11 = 33/11
x = 3
therefore
the first number is 3
the second is 5 × 3 = 15
the third number is 15 - 1 = 14
Answer:
h = 36.9 cm
Step-by-step explanation:
The function given to us is:
h(t) = 51 + 20 sin(225t)
Where h(t) is the function of the height in centimeters while t represents the time in seconds.
We have to find the height h(t) when the time is equal to 19 seconds.
Substitute t=19 into the given function
h(19) = 51 + 20 sin(225(19))
h(19) = 51 + 20 sin(4275)
h(19) = 51 + 20 (-0.7071)
h(19) = 51 + (-14,1421)
h(19) = 36.8579 cm
Rounding off to nearest 10th
h = 36.9 cm
The intermediate value theorem applies to the indicated interval and the importance of c guaranteed by the theorem is c=2,3.
Especially, he has been credited with proving the following five theorems: a circle is bisected via any diameter; the bottom angles of an isosceles triangle are the same; the other (“vertical”) angles are shaped by means of the intersection of two traces are same; two triangles are congruent (of identical form and size.
In mathematics, a theorem is an announcement that has been proved or may be proved. The evidence of a theorem is a logical argument that makes use of the inference guidelines of a deductive system to set up that the concept is a logical result of the axioms and formerly proved theorems.
In line with the Oxford dictionary, the definition of the concept is ''a rule or principle, especially in arithmetic, that may be proved to be true''. For example, in arithmetic, the Pythagorean theorem is a theorem and is maximum extensively used in the domain of science.
2-1
and interval = [4]
since, function fext is continuous in ginen
interval. And also
+(4) = 42+4
4-1
=
20 = 6667
$(5/4) = ($145/2
stone-1
= 5.833
simle, f(4) > $(5/2), hence Intermediate
Theorem & applies to the indicated
proved.
Now,
= 6
C-1
C-5c +6 = 0
C=2 or c=3
1=
3 or
C= 2, 3
<= 2
Learn more about theorem here brainly.com/question/26594685
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