From the graph of the linear functions, we have that both snowman's will have the same height of 21 inches after 5 hours.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, we have that:
- The initial height is the intercept.
- The melting rate, as a negative, is the slope.
Hence the functions are given as follows:
The functions are graphed at the end of the answer, with <u>A(t) in red and B(t) in blue,</u> and they intersect at (5,21), meaning that both snowman's will have the same height of 21 inches after 5 hours.
More can be learned about linear functions at brainly.com/question/24808124
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Answer: negative 9 square root of 11
explanation:
5√11 - 12√11 - 2√11
collect like terms by calculating the sum or difference of their coefficients:
(5-12-2) √11
(5-12-2) = (5-14) = -9
so, -9√11
(a) there are 8C2 = 28 ways of picking 2 girls from 8
And there are 21C4 = 5985 ways of picking 4 boys
Required number of ways for 2g / 4b = 28 * 5985 = 167,580
(b) at least 2 girls means combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or
6 girls.
2g/4b = 167,580 ways
3g/3b = 8C3 * 21C3 = 56 * 1330 = 74,480
4g/2b = 8C4* 21C2 = 70 * 210 = 14,700
5g 1b = 8C5* 21 = 56*21 = 1176
6 girls = 8C6 = 28
adding these up we get the answer to (b) which is 257,964
Using proportions, the property tax on a house with an assessed value of $762,000 is of $8,890.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The tax rate, as a proportion, is:
7280/624000 = 0.011667.
Hence, the property tax on a house with an assessed value of $762,000 is of:
0.011667 x 762,000 = $8,890.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
- g(- x) = - 70 - 3x
Step-by-step explanation:
to evaluate g(- x) substitute x = - x into g(x)
g(- x) = 70 - 3(- x) = 70 + 3x, hence
- g(- x) = - (70 + 3x) = - 70 - 3x
