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Masteriza [31]
3 years ago
13

The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)

Mathematics
1 answer:
bearhunter [10]3 years ago
6 0

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

a=-2, b=-3, and c=5-k.

So we want to solve the following equation for k:

(-3)^2-4(-2)(5-k)=0

9+8(5-k)=0

Distribute:

9+40-8k=0

49-8k=0

Add 8k on both sides:

49=8k

Divide both sides by 8"

49/8=k

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Answer:

45.44/71 - 1 = -0.36 = -36%

36% decrease.

7 0
3 years ago
The number of pies sold by the Chipper Bakery is 3/4 of the number of cookies sold by the Yummy Cookie Company. If both the busi
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Answer:

Number of cookies sold by the Yummy Company = 32.

Step-by-step explanation:

Let the number of cookies sold by the yummy company be x.

Then the number of pies sold by The Chipper Bakery is 3/4 x.

When they have 16, more we have:

Number sold by the Yummy company is x + 16 and the number sold by the Bakery is 5/6 (x + 16)

So x + 3/4x + 2(16) = x + 16 + 5/6(x + 16)

= 7/4 x  + 32 =  11/6 x + 16 + 80/6

7/4 x - 11/6x = 16 + 80/6 - 32

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x = 32.

5 0
3 years ago
Is the following statement true or false?
andrew-mc [135]
True because you can put it in any order without affecting it. Example : 5 • 7 = 7 • 5. Either way they still equal 35, therefore the answer will be true.

Hope this helps :)
5 0
3 years ago
Bernardo hiked 12.8 km in June and 13.4 km in July. Nicole hiked the same total distance as Bernardo but hiked only 11.5 km in J
riadik2000 [5.3K]
Total distance hiked by Bernardo in June = 12.8 km
Total distance hiked by Bernardo in July = 13.4 km
Then
The total distance hiked by Bernardo in June and July = (12.8 + 13.4) km
                                                                                       = 26.2 km
Now it is given in the question that Nicole hiked for the same total distance in June and July.
Also it is given that
The distance hiked by Nicole in June = 11.5 km
Then
the distance hiked by Nicole in July = (26.2 - 11.5) km
                                                         = 14.7 km
So the distance hiked by Nicole in July is 14.7 km. The correct option among all the options given in the question is option "A".
6 0
3 years ago
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Answer:

choice c

Step-by-step explanation:

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