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Nataliya [291]
3 years ago
8

Solve for x.

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
3 0

Answer:

C.  3, -7

Step-by-step explanation:

x^2 +4x-21 =0

Factor

What 2 numbers multiply to -21 and add to 4

7*-3 = -21

7-3 = 4

(x+7) (x-3) =0

Using the zero product property

x+7 =0       x-3=0

x+7-7=0-7     x-3+3=0+3

x = -7            x=3

Arada [10]3 years ago
3 0

Answer:

<h2>C. 3, -7</h2>

Step-by-step explanation:

x^2+4x-21=0\\\\x^2+7x-3x-21=0\\\\x(x+7)-3(x+7)=0\\\\(x+7)(x-3)=0\iff x+7=0\ \vee\ x-3=0\\\\x+7=0\qquad\text{subtract 7 from both sides}\\x=-7\\\\x-3=0\qquad\text{add 3 to both sides}\\x=3

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Function g is a transformation of function f.
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The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

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An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

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2 years ago
The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.10
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For the bell-shaped graph of the normal distribution of weights of Hershey kisses, the area under the curve is 1, the value of the median and mode both is 4.5338 G and the value of variance is 0.0108.

In the given question,

The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.1039 G.

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From the question;

Mean(μ) = 4.5338 G

Standard Deviation(σ) = 0.1039 G

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As we know that when the mean is 0 and a standard deviation is 1 then it is known as normal distribution.

So area under the bell shaped curve will be

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This shows that that the total area of under the curve.

(b) We have to find the median.

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As we know that the value of mean is 4.5338 G.

So the value of median is also 4.5338 G.

(c) We have to find the mode.

In the normal distribution mean, mode both are same. So the value of mode equal to the value of mean.

As we know that the value of mean is 4.5338 G.

So the value of mode is also 4.5338 G.

(d) we have to find the value of variance.

The value of variance is equal to the square of standard deviation.

So Variance = (0.1039)^2

Variance = 0.0108

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There are 19 sweaters in a closet and some sweaters are in the dresser as well.If the total number of sweaters is 60,which of th
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