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lesantik [10]
3 years ago
9

If g(x) =3/2 x +4, what is the value of g(2)?

Mathematics
1 answer:
Otrada [13]3 years ago
8 0

Answer:

7

Step-by-step explanation:

g(x) = 3/2 x + 4

g(2) = 3/2 * 2 + 4

g(2) = 3 +4

g(2) = 7

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Simplify (x⁴)³ ??????
Morgarella [4.7K]

Rule:

(xᵃ)ᵇ = x⁽ᵃ * ᵇ⁾

(x⁴)³ = x⁽⁴ * ³⁾ = x¹²

3 0
3 years ago
Megan makes $480 a week and her boss wanted to give her
wel

Answer:

$537.60

Step-by-step explanation:

12% increase is the same as multiplying by 1.12, 480*1.12=537.60

5 0
3 years ago
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0
2 years ago
Answer this question pls!! (Will give Brainliest)
kvasek [131]
ANSWER:
22
(All you’re doing is plugging in the values into the formula)

4 0
3 years ago
Read 2 more answers
Which of the following is a linear function?
Rama09 [41]
\boxed{ \textbf{ \huge{Answer: A}}}

A linear function has 1 as the highest power of the variable.

A. f(x) = 2 - 7x

here, the highest power of the variable x is 1.
Hence it is a LINEAR function.
___________

B. f(x) = 2 + x + x^2

here, the highest power of the variable x is 2.
Hence it is NOT a linear function.
_______________

c.f(x) = \sqrt{2 + 7x}
here, the highest power of the variable x is 1/2.
Hence it is NOT a linear function.
________________
6 0
3 years ago
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