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dmitriy555 [2]
3 years ago
15

Question 5 Multiple Choice Worth 2 points)

Mathematics
1 answer:
Damm [24]3 years ago
8 0
The second one try it
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If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
JulijaS [17]

Answer:

y = 36

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = \frac{kz}{x} ← k is the constant of variation

To find k use the condition y = - 18, z = 3 when x = 6 , then

- 18 = \frac{3k}{6} ( multiply both sides by 6 )

- 108 = 3k ( divide both sides by 3 )

- 36 = k

y = \frac{-36z}{x} ← equation of variation

When x = 5 and z = - 5, then

y = \frac{-36(-5)}{5} = \frac{180}{5} = 36

6 0
3 years ago
What is the solution set for 12=2(3x - 7)^2 +4
svet-max [94.6K]
12=2(3x-7)^2+4 \ \ \ |-4 \\
8=2(3x-7)^2 \ \ \ |\div 2 \\
4=(3x-7)^2 \\
\sqrt{4}=\sqrt{(3x-7)^2} \\
2=|3x-7| \\
3x-7=2 \ \lor \ 3x-7=-2 \\
3x=2+7 \ \lor \ 3x=-2+7 \\
3x=9 \ \lor \ 3x=5 \\
x=\frac{9}{3} \ \lor \ x=\frac{5}{3} \\
x=3 \lor \ x=1 \frac{2}{3} \\
\boxed{x \in \{1 \frac{2}{3}, 3 \} }
3 0
3 years ago
After Carlos purchased some stock, the price rose $6 per share: the price then dropped $8 per share. What integer represents the
boyakko [2]

Answer:

-2

Step-by-step explanation:

6+(-8)=-2

6 0
3 years ago
The sum of a number and seven more than the number is 43. What is the number?
gizmo_the_mogwai [7]

Answer:

18 is the number good luck

Step-by-step explanation:

18+25=43

8 0
3 years ago
Read 2 more answers
What is represented by a pair of lowercase letters in a punnett square?
Viefleur [7K]
A pair of lowercase letters represents a recessive gene.

For further clarification, if needed... If the punnett square was for dark hair being dominant over blonde hair, the offspring that was represented by two lowercase letters in a punnett square would have a phenotype of blonde hair. 
5 0
3 years ago
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