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Hunter-Best [27]
3 years ago
9

Which of the following are solutions to the equation below? Check all that apply. 4x2 - 12x + 9 = 5​

Mathematics
1 answer:
Anika [276]3 years ago
4 0

Step-by-step explanation:

4x² - 12x + 9 = 5 → 4x² - 12x + 4 = 0 → x² - 3x + 1 = 0

∆ = b² - 4ac → ∆ = (-3)² -4(1)(1) = 9 - 4 = 5

x = (-(-3) ± √5)/2(1) = (3 ± √5)/2

x² - 3x + 1 = 0 → (x - 3/2)² - 9/4 + 1 = 0 → (x - 3/2)² = 5/4 → x - 3/2 = ±√5 / 2 → x = ½( 3 ± √5)

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Please help with this question. Thank you.
podryga [215]

Answer:

t = 4

Step-by-step explanation:

Substitute the variables with the information provided.

205 = 100 + 12(6) + 5(t) + 7(4) + 5(5) - 8(5)

Simplify

205 = 100 + 72 + 5t + 28 + 25 - 40

20 = 5t

t = 4

5 0
3 years ago
Simplify the expression by combining like terms<br>-7k-3+8j+4j-3k+18​
Nutka1998 [239]

Answer:

-10k+12j+15

Step-by-step explanation:

-7k-3+8j+4j-3k+18

-7k-3k+8j+4j-3+18

-10k+12j+15

If you're satisfied with the answer, then please mark me as Brainliest.

3 0
3 years ago
Write the first three terms of the sequence defined by the recursive formula if a1=2.
gogolik [260]

The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Given:

an =  \frac{an - 1}{4}  - 2

where,

n = number of terms

First term, a1 = 2

Second term, a2

an =  \frac{an - 1}{4}  - 2

a2 = {(2 - 1)/ 4} - 2

= 1/4 - 2

= (1-8) / 4

= - 7/4

Third term, a3

= {(3-1) / 4} - 2

= 2/4 - 2

= 1/2 - 2

= (1-4) / 2

= -3/2

Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Learn more about sequence:

brainly.com/question/6561461

4 0
3 years ago
Angles A and B are complementary. If sin A = 4x + 10 and cos B = 2x + 16, what is the value of x? (1 point) 3 4 13 22
olga_2 [115]

Answer: 3

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement, so

4x+10=2x+16\\\\2x+10=16\\\\2x=6\\ \\ x=3

5 0
2 years ago
I need help with this slope problem​
sweet [91]

Answer:

what is it? you did not post the picture

8 0
3 years ago
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