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CaHeK987 [17]
2 years ago
8

Check whether (x-1) is a factor of 2x²-3x+1 or not ................ ​

Mathematics
2 answers:
wariber [46]2 years ago
5 0
Answer: Yes

Step-by-Step Explanation:

Setler79 [48]2 years ago
4 0

Answer:

(x - 1) is a factor of 2x² - 3x + 1

Step-by-step explanation:

<u>Method 1</u>

If (x - 1) is a factor of f(x) = 2x² - 3x + 1  then f(1) = 0

Substitute x = 1 into the equations:

f(1) = 2(1)² - 3(1) + 1

     = 2 - 3 + 1

     = 0

Therefore, (x - 1) is a factor of 2x² - 3x + 1

<u>Method 2</u>

Factor  2x² - 3x + 1

Find 2 two numbers that multiply to 2 and sum to -3:  -2 and -1

Rewrite the coefficient of the middle term as the sum of these 2 numbers:

⇒ 2x² - 2x - x + 1

Factorize the first two terms and the last two terms separately:

⇒ 2x(x - 1) - 1(x - 1)

Factor out the common term (x - 1):

⇒ (2x - 1)(x - 1)

Thus proving that (x - 1) is a product of 2x² - 3x + 1

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The school marching band has a budget of up to $750 to cover 15 new uniforms and
PolarNik [594]

a. The inequality 15x+300≤750 represents the situation.

b. It means that the band can spend at most $30 on each uniform without exceeding the budget.

Step-by-step explanation:

Given,

Budget = $750

Competition fee = $300

Uniforms to make = 15

Let,

x be the amount for each uniform.

a.  Write an inequality to represent this situation.

Uniforms to make * Cost per uniform + Competition ≤ Budget

15x+300 ≤ 750

The inequality 15x+300≤750 represents the situation.

b.  Solve the inequality and describe what it means in the situation.

15x+300\leq 750\\15x+300-300\leq 750-300\\15x\leq 450

Dividing both sides by 15

\frac{15x}{15}\leq \frac{450}{15}\\x\leq 30

It means that the band can spend at most $30 on each uniform without exceeding the budget.

Keywords: inequality, division

Learn more about inequality at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

3 0
3 years ago
Amanda leaned a 15-foot ladder against the top of her house so she could get on the roof, which is 12 feet from the ground.
valentinak56 [21]

If you're trying to find the missing side of the "triangle" (the distance from the house to where the ladder touches the ground), you would use the pythagorean theorem, a²+b²=c². (c is always hypotenuse)

a²+b²=c²

12²+b²=15²

144+b²=225

b²=81

√b²=√81

b=9


8 0
3 years ago
Madison works part time at a local farm. She makes $10.00 an hour for cleaning the animals
stiv31 [10]

Answer: She will have to work 9 hours

Step-by-step explanation:

$10+ $7 = 17 x 9 = 153

Hope this helped :)

3 0
2 years ago
Read 2 more answers
Simplify the expression.<br> 2³ times 2^5<br><br> A. 4^15<br> B. 4^8<br> C. 2^15<br> D. 2^8
Luden [163]
(x^m)(x^n)=x^{m+n}
so
(2^3)(2^5)=2^{3+5}=2^{8}
D is answer
7 0
3 years ago
Read 2 more answers
First to answer correctly will be marked brainliest
kozerog [31]

Answer:

Step-by-step explanation:

  • Binomial: 2 terms
  • Trinomial: 3 terms
  • Linear: a straight line
  • Quadratic: like a curved line

(3x + 2) - (x + 5)

1(3x + 2) - 1(x + 5)

3x + 2 - x - 5 <== combine like terms

3x - x + 2 - 5

2x - 3 <== final answer, linear binomial

(2x + 8) + (3x² - 2)

1(2x + 8) + 1(3x² - 2)

2x + 8 + 3x² - 2

3x² + 2x + 6 <== final answer, quadratic trinomial

(3x + 8) + (4x² - x)

1(3x + 8) + 1(4x² - x)

3x + 8 + 4x² - x

4x² + 2x + 8 <== final answer, quadratic trinomial

(x² + 5x minus (-) 2) + (8 minus (-) 5x)

(x² + 5x - 2)  + (8 - 5x)

1(x² + 5x - 2)  + 1(8 - 5x)

x² + 5x - 2 + 8 - 5x

x² + 6 <== final answer, quadratic binomial

(x² + 7x) - (x² + 5)

1(x² + 7x) - 1(x² + 5)

x² + 7x - x² - 5

7x - 5 <== final answer, linear binomial

Hope this helps!

7 0
2 years ago
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