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balandron [24]
3 years ago
5

Please help me and explain how to solve the equation

Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0
The one you've already marked is. Just take each choice, substitute the numbers into the inequality in place of x and y, and see whether the inequality is a true statement.
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2. Consider the function, f(x)=x^3+x^2-9x-9
Sedaia [141]

The intercepts of the graph are:

x-axis interception: \left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right).

y-axis interception: \left(0,\:-9\right).

See the graph of the function f(x)=x^3+x^2-9x-9  in the attached image.

<h3>Constructing a graph</h3>

For constructing a graph we have the following steps:

  • Determine the range of values for x of your graph.

For this exercise, for example, we can define a range -4<x<4.  In others words, the values of x will be in this interval.

  • Determine the points

Replace these x-values in the given equation. For example:

When x=-4, we will have: \left(-4\right)^3+\left(-4\right)^2-9\left(-4\right)-9=-21.  Do this for the all x-values of your ranges.

See the results for this step in the attached table.

  • Draw the graph

Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.

The attached image shows the graph for the given function.

<h3>Find the x- and y-intercepts</h3>

The intercepts are points that crosses the axes of your plot. From your graph is possible to see:

x-axis interception points (y=f(x)=0)  are: \left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right).

y-axis interception point (x=0) is: \left(0,\:-9\right).

Learn more about intercepts of the graph here:

brainly.com/question/4504979

5 0
2 years ago
Farmers often sell fruits and vegetables at farmers’ markets during the summer. Each tomato stand at the Bentonville farmers’ ma
olga nikolaevna [1]

Answer:

the probability that all tomatoes are sold is  0.919 (91.9%)

Step-by-step explanation:

since the random variable X= number of tomatoes that are demanded,  is normally distributed we can make the standard random variable Z such that:

Z=(X-μ)/σ = (83 - 125)/30 = -1.4

where μ= expected value of X= mean of X (since X is normally distributed)  , σ=standard deviation of X

then all tomatoes are sold if the demand surpasses 83 tomatos , therefore

P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)

from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore

P(X>83) = 1- P(Z≤-1.4)  = 1 - 0.081 = 0.919 (91.9%)

thus the probability that all tomatoes are sold is  0.919 (91.9%)

6 0
3 years ago
Need help with this problem
lions [1.4K]
Since the shape is a square, it has 90° angles.

if cut in half, it creates a 45-45-90 triangle.
using this, you can use the ratio of 1:sqrt2 to find x. so the ratio would be x:6 to 1:sqrt2.

divide 6 by sqrt2 to find x, and then rationalize for it to become 6sqrt2/2, which would simplify even further to 3sqrt2
8 0
3 years ago
75% of what number is 200
Lerok [7]
We try to find the number that 75% of it is 200 by set the number that we try to find by A
-> A x 75/100 = 200
-> (A x 75)/100 = 200
-> A x 75 = 200 x 100
-> A x 75 = 20,000
->A = 20,000/75
-> A = 266.6666...
So that the number that 75% of it is 200 : 266.6667


4 0
3 years ago
Read 2 more answers
it took a submarine 30 seconds to sink 225 feet, moving at a constant speed. The captain wants to know how much feet does he the
icang [17]

Answer:

Dont count me if I'm wrong but if you divide 225 by 30 you get 7.5

So your answer should be 7.5

4 0
3 years ago
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