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nirvana33 [79]
3 years ago
10

8z=4(2z+1) show step by step

Mathematics
1 answer:
Verizon [17]3 years ago
5 0
8z=4(2z+1)
First you would distribute the constant into the numbers in the parentheses. so
8z=8z+4
then you would combine like terms which in this case would result in a zero.
8z-8z=0 So the z would be zero or no solution.
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Hello Guys, I really need help with these questions. Here they are.
Slav-nsk [51]

Answer:

See below.

Step-by-step explanation:

It can really help to think when you see |expression| that it means the distance from expression to zero.

(a)  |x| < 7  means the distance from  x  to 0 is less than 7.  That puts  x  between -7 and 7.  The solution set is  -7 < x < 7.

(b)  |x + 3| < 9 means that the distance from x + 3 to 0 is less than 9.  That puts x + 3 between -9 and 9:

-9 < x + 3 < 9   Now subtract 3 from all three parts.

-12 < x < 6

(c)  |y - 8| > 11 means that the distance from y - 8 to 0 is more than 11 units.  That puts  y - 8 in one of two places:  left of -11 or right of 11.

y-8 < -11 \text{ or } y-8 > 11\\\\y < -3 \text{ or } y > 19

(g)  |3x-1| \ge 18 means that the distance from 3x - 1 to 0 is more than (or equal to)  18.  Another way to say it is, 3x - 1 is farther from 0 than 18 units.  That puts  3x - 1 in one of two places:  to the left of -18 or to the right of 18.

3x-1  \le -18 \text{ or } 3x-1 \ge 18\\\\3x \le -17 \text{ or } 3x \ge 19\\\\x \le -\frac{17}{3} \text{ or } x \ge \frac{19}{3}

|4y+3| \le 13  means that 4y + 3 is closer to 0 than 13;  it is between -13 and 13.

-13 \le 4y+3 \le 13\\\\-16 \le 4y \le 10\\\\-4 \le y \le \frac{5}{2}

(That last fraction is 10/4 simplified.)

3 0
3 years ago
Read 2 more answers
of 100 children 3 quarters have pets 40 kids have a dog and 18 have a cat how many kids have other kinds of pets
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Answer:

17 kids have other kinds of pets

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In triangle XYZ, m∠Z &gt; m∠X + m∠Y. Which must be true about △XYZ?
MissTica
It must be an obtuse triangle

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3 years ago
Find the slope of the line that passes through the points (2,4) and (6,+2)​
lesya [120]
Slope is -1/2
2-4/6-2=
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8 0
3 years ago
The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousand
velikii [3]

Answer:

h(x) = 57(0.8)^x

Step-by-step explanation:

Given

f(x) = 32(0.8)^x

g(x) = 25(0.8)^x

Required

A function that represents the total resale value of the two vehicles

To do this, we simply add up the functions

h(x) = f(x) + g(x)

h(x) = 32(0.8)^x + 25(0.8)^x

Factorize

h(x) = (32 + 25)(0.8)^x

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