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BartSMP [9]
3 years ago
7

Tom and Philip were given the graph of a linear function and asked to find the slope. Tom says that the slope is

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0
It’s no more to the problem?
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Suppose the equation ax^2+bx+c=0 has no real solution and a graph of the related function has a vertex that lies in the second q
Veseljchak [2.6K]
If it has no real solutions, that means the graph does not intersect the x axis

since we have ax^2+bx+c=0, the parabola opens either up or down
since the vertex is in the second quadrant (x is negative and y is positive in this reigon) and the graph does not cross the x axis, the parabola must open up
if the value of 'a' is positive, then the parabola opens up

so 'a' must be positive



if it is translated to the 4th quadrant, then the vertex is now below the x axis
it will now have 2 x intercepts because the vertex is in the 4th quadrant and look at a graph of a parabola opening up with vertex in 4th quadrant and seehow many time it crosses the x axis
7 0
3 years ago
Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 4 - (x - 6)2 (5 points)
leva [86]

Answer:

g(x) is always decreasing

Step-by-step explanation:

Step 1: Distribute

g(x) = 4 - (2x - 12)

g(x) = 4 - 2x + 12

Step 2: Combine like terms

g(x) = -2x + 16

Since the line is linear and has a negative slope, it will always decrease when you input either a positive or negative x value. The output <em>y </em>will go lower.

4 0
3 years ago
A can of soup contains 2 servings. Each serving has 130 calories in it. How many calories are there in the whole can?
Allisa [31]
There are 260 calories in the whole can.
to get this you multiply the calories in one serving by the amount of total servings, in this case 2.
6 0
3 years ago
Read 2 more answers
Kenneth ran a marathon (26.2) miles) in 5.5 hours. What was Kenneth’s average speed? (Round your answer to the nearest tenth.)
Serga [27]

Answer:

4.8 miles per hour.

Step-by-step explanation:

Average speed=Total distance/Time taken

=26.2miles/5.5hour

=4.8 miles per hour

3 0
3 years ago
X,y,z and l are proportional quantites, prove that : y–x/x = l–z/z​
Vera_Pavlovna [14]

Answer:

y=24

Step-by-step explanation:

7 0
2 years ago
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