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Pie
3 years ago
8

Without his pencil or calculator, Joey knows that 2x³+3x²− 1 = 0 has at least one real solution. How does he know?

Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

Answer: Find the discriminant

Check explanation

Step-by-step explanation:

b^2-4ac

if it is equal to 0 there is no solution

Greater then 0 there is 2 real solution

Less then 0 there is 1 real

3^2-4(2*-1)

9-4(-2)

9(8)

72 there is at least one real solution

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The equation represents an ellipse. which points are the vertices of the ellipse? (7, 1) and (7, −5) (7, −10) and (7, 6) (10, −2
OleMash [197]

The points which represents the vertices of the given equation are; (15, −2) and (−1, −2).

<h3>Which points among the answer choices represents the vertices of the ellipse whose equation is given?</h3>

The complete question gives the equation of the ellipse as; (x-7)²/64+(y+2)²/9=1.

Since, It follows from convention that general equation of ellipse with centre as (h, k) takes the form;

(x-h)²/a² +(y-k)²/b² = 1.

Consequently, it follows from observation that the value of a and b in the given equation in the task content is; √64 = 8 and √9 = 3 respectively.

Since, 8 > 3, The vertices of the ellipse are given by; (h±a, k).

The vertices in this scenario are therefore;

(7+8, -2) and (7-8, -2).

= (15, -2) and (-1, -2).

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7 0
1 year ago
'The length of a rectangle is 6 feet more than three
olga_2 [115]

Answer:

length : 15 ft

width : 3 ft

Step-by-step explanation:

perimeter = 2×l(ength) + 2×w(idth) = 36

l = 3w + 6

=> 2×(3w+6) + 2w = 36

6w + 12 + 2w = 36

8w = 24

w = 3

=> l = 3w + 6 = 3×3 + 6 = 9+6=15

3 0
3 years ago
A swimming pool has a perimeter of 80 feet the short side measures 16 feet what is the length of the longer sides of the pool
svlad2 [7]

2 x (L + W) = Perimeter

2(L + 16) = 80   Then divide both sides by 2

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3 years ago
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irina [24]

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Step-by-step explanation:

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2 years ago
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rusak2 [61]

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n/8

Step-by-step explanation:

5 0
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