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Pavel [41]
3 years ago
12

Find the value of g (x) = 7/8 x - 1/2 where x is 7

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

Answer:

5.625

Step-by-step explanation:

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Factor: 5x^2+20
Mkey [24]
5x^2 + 20

Option B is the answer

5(x^2+4)
(5 * x^2) + (5 * 4)
5x^2 + 20

4 0
3 years ago
Using Slopes of Parallel Lines Quick Check
Semenov [28]

Answer:

The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC

Step-by-step explanation:

<em>There is an important fact about the parallel lines: </em>

  • Parallel lines have equal slopes

<em>The rule of the slope of a line is:</em>

  • m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}, where (x_{1},y_{1}) and (x_{2},y_{2}) are two points on the line

<em>Let us use the fact and the rule to solve the question</em>

∵ ABCD is a quadrilateral

∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)

∵ The opposite sides are AB, CD and AD, BC

Find the slopes of the four sides to check the parallel sides

∵ m_{AB}=\frac{6-2}{2-0}=\frac{4}{2}=2

∵ m_{CD}=\frac{2-6}{7-9}=\frac{-4}{-2}=2

∵ The slope of AB = The slope of CD

∴ AB // CD

∵ m_{AD}=\frac{2-2}{7-0}=\frac{0}{7}=0

∵ m_{BC}=\frac{6-6}{9-2}=\frac{0}{7}=0

∵ The slope of AB = The slope of CD

∴ AD // BC

The correct answer is:

Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)

5 0
3 years ago
A flower bed has the shape of a rectangle 15 feet long and 12 feet wide. What is its area in square yards?
Romashka-Z-Leto [24]
20 square yards. 15 * 12 is 180 and then you divide it by 9 which gives you 20 square yards. 9 square feet are equivalent to a square yard.
6 0
3 years ago
Read 2 more answers
Three students solve a challenge math problem. Every day, the number of students who solve the problem doubles. There are 384 st
attashe74 [19]

OK, so this is assuming we are considering that the first three kids to solve ARE NOT in the first day.


So we have 3 kids and it doubles

Day 1 : 6

Day 2 : 12

Day 3 : 24

Day 4 : 48

Day 5 : 96

Day 6 : 192

Day 7: 384


So it should take 7 days or a week to solve all the problems.

The equation:

(3 * 2)^x = 384


8 0
3 years ago
Read 2 more answers
Find the product of 2r^2(6r^3+14r^2-30r+14)
mylen [45]

Answer:

<em>12 </em>r^{5}<em> + 28 </em>r^{4}<em> - 60 r³ + 28 r² </em>

Step-by-step explanation:

a(b ± c) = ab ± ac (distributive property)

a^{m} * a^{n} = a^{m+n}

2r²(6r³ + 14r² - 30r + 14) = <em>12 </em>r^{5}<em> + 28 </em>r^{4}<em> - 60 r³ + 28 r²</em>

6 0
3 years ago
Read 2 more answers
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