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vodka [1.7K]
3 years ago
9

use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. y=x^2+x+6

Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

(-1/2, 23/4)

Step-by-step explanation:

Vertex of graph: -b/2a

b=1

a=1

Therefore, -1/2 is your x-value

Solve for y: y=1/4-1/2+6

y=5 3/4 or 23/4

Therefore your vertex is: (-1/2, 23/4)

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Use the discriminate to determine the number and the nature of the solutions of the giving equation.
PolarNik [594]

Answer:

Since b^2 -4ac = 256 we have 2 real distinct root roots

Step-by-step explanation:

4x^2+12x=7

We need to subtract 7 to get it in the proper form

4x^2+12x-7=7-7

4x^2+12x-7=0

The discriminant is b^2 -4ac

when the equation is ax^2 +bx+c

so a =4   b=12 and c=-7

(12)^2 - 4(4)(-7)

144 +112

256

If b^2 -4ac > 0 we have 2 real distinct roots

If b^2 -4ac = 0 we have one real root

If b^2 -4ac < 0 we have two complex root

Since b^2 -4ac = 256 we have 2 real distinct root roots

7 0
3 years ago
If 8^{y}=18^{y+2} what is the value of y?
Nina [5.8K]

Answer:

-8

Step-by-step explanation:

both 8^-8 and 16^-8+2 equal 5.9605

8 0
2 years ago
Read 2 more answers
The length of a rectangle is four more than triple the width. if the perimeter is 120 inches, find the dimensions.
mezya [45]
120/2=60 (sum of both lengths)
4x+4=60
4x=56
x=14

length=46
width=14
5 0
3 years ago
Joey is staking out a spot for a rectangular pen he is building for his new pig. He has three stakes already plotted on the coor
anastassius [24]

Answer:

2 -6

Step-by-step explanation:

watch the video for a Step-by-step explanation its the one right before the question

4 0
3 years ago
Read 2 more answers
What is the factored for of the polynomial x2 - 16x + 48
mel-nik [20]
What two factors of 48 add up to -16? -4 and -12

So the factored form would be (x-4)(x-12)
5 0
3 years ago
Read 2 more answers
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