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butalik [34]
2 years ago
5

write an equation in point slope form of the line that passes through the point (5/6 , 0) and has a slope of m=-3

Mathematics
1 answer:
lyudmila [28]2 years ago
8 0

(\stackrel{x_1}{\frac{5}{6}}~,~\stackrel{y_1}{0})~\hspace{10em} \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-3}(x-\stackrel{x_1}{\frac{5}{6}})

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Pick the set of numbers which contain ALL perfect squares:
Ede4ka [16]
Well, a way to do this problem would be to find the set of numbers that all of rational square roots. A list of perfect squares would be 1^2=1, 2^2=4, 3^2=9, 4^2=16, 5^2=25, 6^2=36, 7^2=49, 8^2=64, 9^2=81, 10^2=100.
6 0
3 years ago
Please help me:) I don’t know what to do
Cloud [144]

Answer:

8 family members.  Average of 2.6 fish per person.

Step-by-step explanation:

How many family members caught fish?  Count only those members who caught at least 1 fish (that's all of them, because nobody caught 0 fish!).

3 + 1 + 0 + 4 = 8 family members.

Average number of fish caught <u>per person</u>.  This is the total number of fish caught divided by the total number of people.

This is a little bit tricky because, for example, 4 people caught 4 fish, making 4 x 4 = 16 fish caught.

Multiply number of fish (column 1) by the number of people (column 2):

1 x 3  +  2 x 1  +  3 x 0  + 4 x 4 = 3 + 2 + 0 + 16 = 21 fish caught.

21 fish.  8 people.  On average, that is 21 / 8 = 2.625 which rounds to 2.6 fish per person.

Hint:  the word "per" means <u>divide</u>, so "fish per person" tells you to divide the total number of fish by the total number of people.

Good Luck!

5 0
2 years ago
Doug had been working 20 hours per week at a pet store for $8.00 per hour. His pay was increased to $8.50 per hour, and his hour
stellarik [79]

Answer:

$44

Step-by-step explanation:

First, find how much he was making originally:

Multiply the number of hours he worked by the amount he got per hour:

20(8)

= 160

Then, find how much he gets now:

24(8.50)

= 204

To find his total weekly pay increase, find the difference between them:

204 - 160

= 44

So, his total weekly pay increase is $44

5 0
2 years ago
The average of three test scores is 82. The scores on the first test and the third test are the same. The score on the second te
kondaur [170]

Answer:

84

Step-by-step explanation:

Let x = the test

(x + x + ( x - 6))/3=82

((3x - 6)/3) • 3= 82 • 3

3x - 6 + 6 = 246 + 6

<u>3x</u> = <u>252</u>

3        3

x = 84

5 0
2 years ago
Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c
elena55 [62]

Answer:

f(x) = - 4x² + 24x - 20

Step-by-step explanation:

Given

f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL

     = - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4

    = - 4x² + 24x - 36 + 16 ← collect like terms

    = - 4x² + 24x - 20

4 0
2 years ago
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