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MAXImum [283]
3 years ago
14

what value in place of the question mark makes the polynomial below a perfect square trinomial 9x^2+?x+49

Mathematics
2 answers:
puteri [66]3 years ago
8 0

Answer:

The required value is 42 which makes the polynomial a perfect square trinomial.    

Step-by-step explanation:

Given the trinomial

9x^2+?x+49

we have to find the value in the place of question mark which makes the polynomial above a perfect square trinomial.

By the identity of perfect square

a^2+2ab+b^2=(a+b)^2

\text{Here given the polynomial with above identity }9x^2+?x+49

(3x)^2+?x+7^2

which given a=3x, b=7

Hence, put these values in identity we get

(3x)^2+2(3x)7+7^2=(3x+7)^2

9x^2+42x+49=(3x+7)^2

Hence, the required value is 42 which makes the polynomial a perfect square trinomial.

Tatiana [17]3 years ago
5 0
Hello : 
9x²+ bx +49 = (3x)² +2(3x)(7) +7²
so : b = 42
9x²+42x+49 = ( 3x+7)²....( <span>perfect square trinomial)</span>
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Answer:

Ummm...

Step-by-step explanation:

7 0
2 years ago
Mark is purchasing new tiles for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer
shutvik [7]

Answer:

f(x)=

1. 48x when x < or = 3,

2. 45x when 4 < or = x < or = 8

3. 42x when 9 < or = x < or = 19

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Step-by-step explanation:

3 boxes or less = Cost of tiles = $48

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> 19 boxes ; cost = $38

6 0
2 years ago
Find the solution to the system of equations.
N76 [4]

Answer:

x = -2, y = 5.

Step-by-step explanation:

y=−4x−3

y=−2x+1

Because y is common to both left sides:

-4x - 3 = -2x + 1

-4x + 2x = 1 + 3

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x = 4/-2

x = -2.

So y = -4(-2) - 3

= 8 - 3

= 5 .

5 0
3 years ago
Hello guys what is the answer to this problem?
vazorg [7]

The answer to this problem= 0

⇒6x + 2 + - 1 - 4x  - 3 + - 2x + 2 = 0

⇒2 - 1  - 3 + 2 + 6x + -4x - 2x = 0

⇒1 - 3 + 2 + 6x + -4x - 2x = 0

⇒-2 + 2 + 6x + -4x + -2x = 0

⇒0 + 6x + -4x + -2x = 0

⇒6x - 4x - 2x = 0

⇒2x + -2x = 0

Combine like terms: 2x + -2x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Problem-solving is the definition of the problem. Identify the cause of the problem. Identify, prioritize, and select alternative solutions. and solution implementation. problem-solving process. Troubleshooting resources.

The definition of a problem is something that needs to be resolved or an unpleasant or undesirable condition that needs to be corrected. An example problem is an algebraic equation. An example problem is when it's raining and you don't have an umbrella.

Learn more about the problem here: brainly.com/question/1781657

#SPJ1

5 0
1 year ago
Read 2 more answers
Change to a decimal: 14 1/2 %.<br><br><br> 0.145<br><br> 0.0145<br><br> 14.5
bearhunter [10]
The answer is <span>0.145</span>
<span>14 1/2 can be expressed as:
</span>14  \frac{1}{2} = 14+ \frac{1}{2} =14+ \frac{1*5}{2*5} = 14+ \frac{5}{10} = 14 + 0.5 = 14.5
<span>
Since we know that x% is x/100, then </span>14 1/2 % can be expressed as:
14 1/2% = 14.5% = 14.5/100 = 0.145
8 0
3 years ago
Read 2 more answers
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