<h3>
Answer: choice 4. f(x) and g(x) have a common x-intercept</h3>
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Explanation:
For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.
The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.
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Side notes:
- Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.
- Choice 2 is not true. Point B is not on the parabola.
- Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.
Answer:
118°
Step-by-step explanation:
When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.
Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.
Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.
(5x + 17) + (15x - 17) = 180
5x + 15x + 17 - 17 = 180
20x = 180
20x/20 = 180/20
x = 9°
Nkw let's substitute x = 9 into the equations
5x + 17 =
5(9) + 17 =
= 62°
15x - 17 =
15(9) - 17 =
= 118°
Both equations should add up to be 180°.
Therefore the measure of the largest angle is 118°.
Answer:
the first option
Step-by-step explanation:
really, just look at the table.
is the mean value (10.4) larger than the median (13.4) ?
I hope you can see right away that it is not.
and you can see they are not the same either.
so, all the answer options mentioning mean larger than median or equal to median can be ruled out right away.
so, it is between the first two options.
now think ! how do we draw number lines ? a coordinate axis ?
the smaller numbers left, the larger numbers right. the numbers grow from left to right.
the mean value is simply the sum of all measurements divided by the number of measurements (how many median were done). if that is smaller that the median (so, the Mean is left of the Median), it means that the majority of measurements had a result smaller (to the left) than the Median. so, it is skewed-left.
U have to add 60+10 then 60-10=50+20=70 and that is the answer that u u get addition subtraction those are the only to that u use.
Answer:
So the answer is
y
=
1
/4
x
+
5
Step-by-step explanation:
To draw a line you either need twoof its points, or one of its points and its slope. Let's use this second approach.
We already have the point (
4
,
6
)
. We derive the slope from the parallel line.
First of all, two lines are parallel if and only if they have the same slope. So, our line will have the same slope as the given line.
Secondly, to derive the slope from a line, we write its equation in the y
=
m
x
+
q form. The slope will be the number m
.
In this case, the line is already in this form, so we immediately see that the slope is 1
/4
.
Recapping: we need a line passing through (
4
,
6
) and having slope 1/
4
. The formula that gives the line equation is the following:
y
−
y
0
=
m
(
x
−
x
0
)
Where (
x
0
,
y
0
) is the known point, and m is the slope. Let's plug our values:
y
−
6
=
1
/4
(
x
−
4
)
Expanding the right hand side:
y
−
6
=
1
/4
x
−
1 Add 6
To both sides: y
=
1
/4
x
−
1
+
6
So the answer is
y
=
1
/4x
+
5
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