The product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.
<h3>What is the product of two equations?</h3>
To multiply the two equation, each term of the first equation is multiples from the second term.
- The first equation provided in the form of binomial as,
- The second equation provided in the form of quadratic equation as,
The product of these two equations are,
Arrange the equation with the same power terms,
Hence, the product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.
Learn more about the multiplication of two equation here;
brainly.com/question/69383
The image of the triangle RST when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)
<h3>
How to rotate the triangle?</h3>
The coordinates of RST are given as:
R = (5,15)
S = (15,15)
T = (10,5)
The rule of 90° counterclockwise around the origin is:
(x,y) -> (-y,x)
So, we have:
R' = (-15,5)
S' = (-15,15)
T' = (-5,10)
Hence, the image of the triangle when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)
Read more about rotation at:
brainly.com/question/4289712
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Answer:
1 3/4 or 1.75
Step-by-step explanation:
An easy way to do this is to convert to decimals
1/4 = 0.25
2/4 = 0.5
3/4 = 0.75
Now, for the numbers for this problem.
2 3/4 would be equal to 2.75
3 1/2 would be equal to 3.5
Add those two numbers together and you get 6.25
Subtract that from 8 and you get 1.75 or 1 3/4
Answer:
a. 0.71
b. 0.9863
Step-by-step explanation:
a. From the histogram, the relative frequency of houses with a value less than 500,000 is 0.34 and 0.37
-#The probability can therefore be calculated as:
Hence, the probability of the house value being less than 500,000 is o.71
b.
-From the info provided, we calculate the mean=403 and the standard deviation is 278 The probability that the mean value of a sample of n=40 is less than 500000 can be calculated as below:
Hence, the probability that the mean value of 40 randomly selected houses is less than 500,000 is 0.9863
