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emmasim [6.3K]
3 years ago
13

5) What does it mean if a system of equations has infinite solutions? *

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
4 0

Answer:

The system has parallel lines

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120 tickets were sold in one hour and 50% were childrens tickets how many childrens tickets were sold?
Elanso [62]

Answer:

60

Step-by-step explanation:

because half of children is 50. 120÷50=60

7 0
3 years ago
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The sum of 32,476 and a number P is divided by 381, the quotient is 100 and remainder is zero. Find the number P.
Misha Larkins [42]

Answer:

p = 5,624

Step-by-step explanation:

(32,476 + p) / 381 = 100

multiply both sides by 381

32,476 + p = 38,100

Subtract 32476 from both sides

p = 5,624

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Suppose a parabola has an axis of symmetry at x = -2, a minimum height at -6, and passes through the point (0, 10). Write the eq
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if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is .....a.2 b.-2 c 1/2 d.none ​
blsea [12.9K]

Answer:

k=2

Problem:

if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is ..

Step-by-step explanation:

Since the coefficient of x^2 is 1, we can use this identity to aid us: x^2+bx+(b/2)^2=(x+b/2)^2.

So we want the following:

[(k+2)/2]^2=2k

Apply the power on the left:

(k+2)^2/4=2k

Multiply both sides by 4:

(k+2)^2=8k

Expand left side:

k^2+4k+4=8k *I used identity (x+c)^2=x^2+2xc+c^2

Subtract 8k on both sides:

k^2-4k+4=0

Factor using the identity mentioned a couple lines above:

(k-2)^2=0

Since zero squared is zero, we want k-2=0.

Adding both sides by 2 gives k=2.

8 0
3 years ago
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