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leva [86]
3 years ago
7

One-half an amount, x, added to $50 is $262.

Mathematics
1 answer:
blondinia [14]3 years ago
8 0
X=$212

$262-$50=$212

HOPE ITS RIGHT!!

HOPE THIS HELPS!!!
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Does this graph show a function? Explain how you know.
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9/20
Stella [2.4K]

<u>Question:</u>

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

<u>Answer:</u>

The number of real solutions for the equation x^{2}+5 x+7=0 is zero

<u>Solution:</u>

For a Quadratic Equation of form : a x^{2}+b x+c=0  ---- eqn 1

The solution is x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}  

Now , the given Quadratic Equation is x^{2}+5 x+7=0  ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a} , b^2 - 4ac is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

4 0
3 years ago
The hat company received a shipment of 60 novelty baseball caps. Of the caps, 1/3 had bug antenna, 2/5 had moose antlers, and th
levacccp [35]

Answer:

18 plastic propellers, 18 Bug Antenna, 24 moose antlers,

Step-by-step explanation:

When we multiply our total sum of 60 by certain decimal values by converting the factions to decimals we can get each type of hats count.

1/3 works out to be 0.30

60×0.3 = 18

2/5 works out to be 0.40

60×0.4 = 24

To find out the remaining amount that is plastic propellers you subtract the added hats and the total value.

60 - (18 + 24)

60 - 42

18

6 0
3 years ago
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