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Mnenie [13.5K]
3 years ago
7

Avery solves the equation below by first squaring both sides of the equation.

Mathematics
1 answer:
son4ous [18]3 years ago
5 0

Answer:

z = -1 and 7/3

Step-by-step explanation:

after squaring each side you get:

z² + 8 = (1 - 2z)²

z² + 8 = 1 - 4z + 4z²

combine like terms to get this trinomial:

3z² - 4z - 7, which has factors of (3z - 7)(z + 1)

therefore, z = 7/3 and z = -1

You might be interested in
4x + 11y = -3 and -6x = 18y - 6 (substitution method)
dolphi86 [110]

Answer:

-3 + -6= -9

because there is answer given

6 0
3 years ago
There are 17 animals in the field. Some are pigs and some are chickens. There are 60 legs in all. How many of each animal are in
Ira Lisetskai [31]

Answer:

Step-by-step explanation:

A chicken has 2 legs, a pig has four. 13 pigs x 4 legs each = 52

4 chickens x 2 legs each = 8

52+8= 60 legs in total

So there are 13 pigs and 4 chickens

3 0
3 years ago
Mia can run at a rate of 360 feet per minute. Approximately how many minutes would she take to run a 500-yard stretch of road an
tankabanditka [31]

Step-by-step explanation:

since we know, she can run 360 ft per minute, and we want to know how many minutes she would need to run 500 yards we need to find out how often 360 ft fit into 500 yards.

so,

500 yards / 360 ft

how can we make this division ?

help is given to us by taking us that 1 yard = 3 ft.

aha !

so, 500 yards = 500×3 ft = 1500 ft

therefore, our task now looks like

1500 ft / 360 ft

and this we understand and can do, right ?

1500 / 360 = 150/36 = 75/18 = 4 3/18 = 4 1/6 minutes

the closest answer option is therefore 4.2, meaning she would take about 4.2 minutes to run 500 yards.

7 0
3 years ago
Which two points satisfy y = -x2 2x 4 and x y = 4?
matrenka [14]
I will assume that the two equations are

1) y = -x^2 +2x + 4 and 2) x +y = 4

subtract 2 from 1 and you get

y -x - y = -x^2 + 2x + 4 - 4

-x = -x^2 +2x

x^2 -x -2x = 0

x^2 - 3x = 0

x(x-3)=0

x=0 and x - 3 =0

x=0 and x = 3

Then y = 4 - x

y = 4 - 0 and y = 4 -3
y = 4 and y =1

Solutions:

Points (0,4) and (3,1)

 



6 0
3 years ago
11. A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jameson picks a fru
ludmilkaskok [199]
There are 14 fruit to start with and 2 bananas

2/14

then there are 13 fruit and 2 pears

2/13

So the probability of the two events in a row without replacement is:

(2/14)(2/13)=4/182

2/91  ( about 2.2%)
4 0
3 years ago
Read 2 more answers
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