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monitta
3 years ago
13

Given f(x)= 2x²+4x-6 and g(x)=2x-2, find each function

Mathematics
1 answer:
valkas [14]3 years ago
5 0
F(x)= 2x²+4x-6 and g(x)=2x-2, find each function
1. (f/g) (x) = f(x)÷g(x) = (2x²+4x-6)÷(2x-2)
First factor both top and bottom:
(2x-2)(x+3)÷(2x-2) = x+3

2. f(a + 2) = plug (a+2) in anywhere there is an x in f(x)=2x²+4x-6 -->
2(a+2)^2 +4(a+2)-6 = 2(a^2+4a+4)+4a+8-6, now distribute:
2a^2+8a+8+4a+2, combine like terms
2a^2+12a+10

3. g(a/2) = plug (a/2) in anywhere there's an x in g(x)=2x-2:
2(a/2)-2 = a-2
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Would each of them be able to be the side lengths of a triangle?
ratelena [41]
Pythagoras Theorem:
hipotenuse²=leg₁²+leg₂²

First posible triangle:
hypotenuse=13    (13²=169)
leg₁=12                ( 12²=144)
leg₂=5                  (5²=25)

13³=144 + 25


Answer:can be side lengths of a triangle

Second triangle:
 hypotenuse=12.6    (12.6²=158.76)
leg₁=6.7                ( 6.7²=44.89)
leg₂=6.5                  (6.5²=42.25)

leg₁²+leg₂²=44.89+42.25=87.14≠158.76

Answer: cannot be side lenghts of a triangle.

third triangle:
hypotenuse=13    (13²=169)
leg₁=12                ( 12²=144)
leg₂=11                  (11²=121)

leg₁²+leg₂²=144+121=265≠169

Answer: cannot be side lenghts of a triangle.

fourth triangle:
hypotenuse=13   (13²=169)
leg₁=6                ( 6²=36)
leg₂=4                  (4²=16)

leg₁²+leg₁²=36+16=52≠169

Answer: cannot be side lenghts of a triangle.
8 0
3 years ago
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On a certain road map, the scale is 1 inch = 12 miles. Aurora Springs and Glendale are 4 inches apart on the map. What is the ac
AleksAgata [21]
Aurora Springs and Glendale are 48 miles apart. You would take how much one inch is and multiply it by 4 to get how much 4 inches is. so 12*4=48
6 0
3 years ago
In inches, Micah is 5 inches shorter than twice the height of Jasmine, who is 32 inches tall. How tall is Micah in inches?
Monica [59]
Micah is 5 inches shorter than twice the height of Jasmine

Micah = 5 inches shorter than 2 x Jasmine

Micah = 2 x Jasmine - 5    <em>(jasmine is 32 inches tall. Replace jasmine with 32)
</em>
Micah = 2 x 32 - 5

Micah = 64 - 5

Micah = 59

Micah is 59 inches tall
5 0
3 years ago
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What is the slope of this line?<br><br> A: - 1/3<br><br> B: - 2/3<br><br> C: 2/3<br><br> D: 1/3
bezimeni [28]

Answer:

The answer is C. 2/3

Step-by-step explanation:

6 0
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What two numbers add together to make -11
Paladinen [302]

Answer:

-6 and -5 (There are many more combinations of numbers that can equal to -11 but this is just one of the many possibilities.

Step-by-step explanation:

-6 and -5

See you can write it like this,

-6+ (-5)

= -6-5

=-11

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