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ki77a [65]
3 years ago
7

Find the possible values of c such that the line with equation y = 2x + c twice intersects the parabola with equation y = x^2 +

3x
Mathematics
2 answers:
11111nata11111 [884]3 years ago
8 0

Answer:

c > -¼

Step-by-step explanation:

x² + 3x = 2x + c

x² + x - c = 0

Since they intersect at 2 points,

B²-4AC > 0

(1)²-4(1)(-c) > 0

1 + 4c > 0

c > -¼

Maru [420]3 years ago
4 0

Answer:

C>-1/4

Step-by-step explanation:

Two have intersection it must be:

2x+c= x^2+3x, i.e,

x^2+x-c=0

Solution of its equation is:

x_{1,2}=\frac{-1+-\sqrt{1^2+4c}}{4c}

If we we want two solution we must have that:

1+4c>0

So c>-1/4.

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For bowmaian000 please check
garri49 [273]

Answer:

Quadratic function, None of the above, and ?

Step-by-step explanation:

So remember what I told you about earlier, lets look at that first one.

So we can see that x is increasing by 1 and y is decreasing by 3...And then it increases by 3! And after that another 9! Well, that seems like it is reversing, as it changes from decreasing to increasing in y coordinates. So knowing that is reverses from decreasing to increasing in y, <u>it must be a quadratic function</u>!

Next we have a increase in 1 and a decrease by 17...then 12...then 7 in y. This isnt decreasing by a constant amount like a linear function. It doesnt seem like a obvious exponential decrease either, and it isnt reversing like a quadratic function does. I am going to use something called logarthms, which you don't even need to think about yet, just to make sure that it is not an exponent.  Althouhg the difference in the exponent was only 0.0018, it is a differnece.<u> So this must be a none of the above</u>, sicne none of the functions apply. (If this is incorrect, and it is exponential, then the test is wrong. While the method I used is something found in mid algebra 2, it is still a method of finding a exponent of a number.)

Now we finish up with a change in x of 1, and a change of y by...-11, -11, -11!

Well, what do you think this is, thinking back on what I have said so far.

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What do you think it is :)

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5 0
3 years ago
The graph of an absolute value function y=a|x| includes the points (1,6) and (-1,6)
lys-0071 [83]

Answer: y=6|x|

Step-by-step explanation:

I attached the graph too!

4 0
3 years ago
A lamp post with a height of 12 ft casts a shadow of 6 ft. A fire hydrant near it casts a shadow that is 1.5 ft long. How tall i
alex41 [277]

Answer:

3ft

Step-by-step explanation:

We are given that

Height of lamp, h=12ft

Height of shadow, l=6ft

Height of shadow of hydrant, l'=1.5ft

Let height of hydrant=h'

We have to find the height of fire hydrant.

All right triangles are similar

When two triangles are similar then, the ratio of their corresponding sides are equal.

Using the property

\frac{h}{h'}=\frac{l}{l'}

\frac{12}{h'}=\frac{6}{1.5}

h'=\frac{12\times 1.5}{6}

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Hence, the height of fire hydrant=3 ft

3 0
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telo118 [61]

Answer:

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Step-by-step explanation:

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