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3 years ago

How many solutions does the nonlinear system of equations graphed below have?

Mathematics

1 answer:

defon3 years ago

8 0

Answer:

There are three possible types of solutions for a system of nonlinear equations involving a parabola and a line.

Step-by-step explanation:

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what is the length of the side of a right triangle that has a hypotenuse that is 15 mm and a side of 9 mm

ratelena [41]

C) 27 mm
Hope this helps

4 0

3 years ago

I just need help on part A

ki77a [65]

Answer:

Part A) see the explanation

Part B) The initial value is 60 meters and the slope is 40 m/min (see the explanation)

Step-by-step explanation:

Part A) see the attached figure with letters to better understand the problem

we know that

If two triangles are similar then the ratio of its corresponding sides is proportional

In this problem

triangles ACD and ABE are similar by AA Similarity Theorem

$\frac{AE}{AD}=\frac{BE}{CD}$ ----> equation A

Remember that the slope is equal to divide the change in the y-value by the change in the x-value

The slope AB is equal to $\frac{AE}{BE}$

The slope AC is equal to $\frac{AD}{CD}$

Rewrite the equation A

$\frac{AE}{AD}=\frac{BE}{CD}$

$\frac{AE}{BE}=\frac{AD}{CD}$

therefore

The slope of AB is equal to the slope of AC

Part B)

Let

x ---->the amount of time in minutes

y ----> the depth in meters

Find the initial value

we know that

The y-intercept or initial value is the value of y when the value of x is equal to zero

In this context the y-intercept is the depth of the shark when the time is equal to zero, so is the initial depth of the shark

Looking at the graph

For x=0

y=60 meters

therefore

The initial value is 60 meters

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Take two points from the graph

C(0,60) and B(1,100)

substitute

$m=\frac{100-60}{1-0}$

$m=40\ m/min$

That means ---->The depth of the shark increases at the rate of 40 meters per minute

7 0

3 years ago

Find the volume of a cube that has a<br>side of 1 inches. Show work.

lys-0071 [83]

I dont know exactly how to answer this but I know that the formula for volume is S+S+S+S=V. So hope that helps!

3 0

3 years ago

Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly

aleksley [76]

Answer:

a. 250 fields

b. 220 to 280 fields

c. Fields are not independent

Step-by-step explanation:

a. The average number of fields sampled that are infested with whitefly =

number of fields X Percentage sampled, 10%

= 2500 X 10% = 250 fields

b. Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance

σ = √nab

= √na(1-a) = √2500 X 10% X (1- 10%)

= √225 = 15

Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large

μ - 2σ = 250 - 2(15) = 220

μ + 2σ = 250 + 2(15) = 280

Approximately 220 to 280 fields are expected to be infested going by 95% probability observation

c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.

5 0

3 years ago

I have 2 possible answer, but I don't know which one. Help please.

stira [4]

Answer:

X=120

Step-by-step explanation:

It is an equalateral so all the angles in the middle are the same all being 60

The angle of a straight line is 180

So just minus 60 from 180 to get 120

180-60=120

5 0

3 years ago

Read 2 more answers