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34kurt
3 years ago
9

Solve the problem in the picture please

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
5 0
(1) y= - x² - 4x + 9 and (2) y + 5x = - 7. Isolate y in (2); y= - 5x - 7 (3)

Since (1) and (3) have the same value or the same y, then we can write:
(1)=(3)

- x² - 4x + 9 = - 5x - 7

-x² - 4x + 9 + 5x +7 = 0

-x² + x + 16 = 0  OR x² - x - 16 = 0

Solve this quadratic equation:

x' = [-b+√(b²-4ac)]/(2a) and x" = [-b-√(b²-4ac)]/(2a)

x' = [+1+√(-1)² - 4(1)(-16)]/2 → x' = [1+√(1+64)]/2 → x' = [1+√65)]/2
x" = [+1-√(-1)² - 4(1)(-16)]/2 → x' = [1-√(1+64)]/2 → x' = [1-√65)]/2

x' = [1+√65)]/2 = + 4.5311


x" =[1-√65)]/2 = - 3.5311
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4.1 or 4.085 greater​
oksano4ka [1.4K]

Answer:

4.1 >

Step-by-step explanation:

5 0
2 years ago
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Jason designs a rectangular sandbox. He models the perimeter of the sandbox using the expression 8l+2, where l is the length of
inn [45]

Answer:

A   .The expression 2l+2(3l+1) shows the width is 1 more than 3 times the length.

Step-by-step explanation:

p = 8l + 2

Length = l

Width:

2w = p - 2l

2w = (8l + 2) - 2l

2w = 6l + 2

w = 3l + 1

Therefor w is 3 times the length plus 1

7 0
3 years ago
7/2 ≥ b + 9/5. and btw, the ones that has the slashes are fractions. :3
Ainat [17]

Answer:

I believe it's

* B. b<1 7/10

I'm sorry if its wrong

6 0
2 years ago
A teacher has a total of 7/9 bucket of water to pour into pots with flowers that are standing in equal quantities on two windows
AleksAgata [21]

Answer:

14 pots

Step-by-step explanation:

if teacher pours 1/18 in each pot and there was 7/9 buckets in total, 9 fits into 18 twice so just 7X2 =14 and 9X2=18 so 14 pots were watered

hope this helps

3 0
2 years ago
Haeden observed that 65% of her coworkers prefer the local talk news radio station. If 28 of her coworkers do not prefer talk ne
vekshin1

Part A


Let x represent the number of coworkers who prefer the talk news radio.


65% prefer the talk news radio,



100-65=35% will be the percentage that corresponds to coworkers who do not prefer the talk news radio.


Part B


We apply ratio to find x.




65:x



35:28


Hence number that corresponds to 65% will be greater than 28.


If more, less will divide.


This implies that,



x=\frac{65\times 28}{35}=52


Hence 52 of her coworkers prefer the local news talk station.

5 0
3 years ago
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