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Aloiza [94]
3 years ago
10

(x-5)^2+3(x-5)+9=0 what is solution​

Mathematics
1 answer:
olga_2 [115]3 years ago
4 0

Answer:

<h2>NO REAL SOLUTION</h2>

Step-by-step explanation:

(x-5)^2=x^2-2(x)(5)+5^2=x^2-10x+25\\\\\text{used}\ (a-b)^2=a^2-2ab+b^2\\\\3(x-5)=(3)(x)+(3)(-5)=3x-15\\\\\text{used the distributive property}\ a(b+c)=ab+ac

(x-5)^2+3(x-5)+9=0\\\\x^2-10x+25+3x-15+9=0\qquad\text{combine like terms}\\\\x^2+(-10x+3x)+(25-15+9)=0\\\\x^2-7x+19=0\\\\\text{Use the quadratic formula:}\\\\a=1,\ b=-7,\ c=19\\\\b^2-4ac=(-7)^2-4(1)(19)=49-76=-27

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Help, please!!! Coordinate planes: find the distance. Thanks for helping!
ruslelena [56]

Answer:

The answer would be 11.3

Step-by-step explanation:

All you have to do is figure out how far one is from the other so from 7.8 I went back to 0 of course the Y coordinate stays the same. So then you get the -3.5 make it a positive so just 3.5 and then add to 7.8 to get 11.3

Hope this helped.

A brainliest is always appreciated.

6 0
3 years ago
A chemist mixes a 10% hydrogen peroxide solution with a 25% hydrogen peroxide solution to create 30 liters of a 15% hydrogen per
FromTheMoon [43]
Your two equations are at the top, in the box is what each variable represents. Below the box is total liters of the 15%, which is going to equal the total liters for 10% plus the total liters for 25%. Make your percentages into decimals. There’s a total of 30 liters so, x+y needs to equal 30. Isolate a variable, I chose y, you can do either or (isolating x would be more math). Y is going to equal 30-x, substitute that for the Y in the second equation, then you need to distribute 0.25 into 30-x. Then it’s simple math, subtract 7.50 from both sides, add like gets, divide both sides by -0.15, making x=20.

8 0
3 years ago
I really don't get these questions
Mazyrski [523]

Answer:

B

Step-by-step explanation:

280 + 5(–5) + (–42) + 2(75) + (–200)

280 - 25 - 42 + 150 - 200

280 - 67 + 150 - 200

280 - 67 - 50

213 - 50

= $163

3 0
3 years ago
(6+3)4 I don't understand what it means I really need some help​
Over [174]

Answer:

36

Step-by-step explanation:

Hullo :D

If you're having trouble understanding, you might not understand the Order of Operations.

P - Parenthesis. Solve what's inside the Parenthesis first

E - Exponents. Solve for Exponents second.

M - Multiply. Multiply numbers third. (left - to - right with division, too)

D - Divide. Divide fourth. It is interchangeable with multiplication, as well.

A - Addition. Add fifth.

S - Subtract sixth. It is interchangeable with Addition, as well.

With that in mind, all we need to do is identify these types in the equation:

(6+3)4

We see parenthesis. We will solve them first according to the Order of Operations:

6 + 3 = 9.

(9)4

We see multiplication. We solve them next according to the Order of Operations:

9 × 4 = 36.

Thus, the final answer is \boxed{36}.

Hope this helps!

4 0
3 years ago
Vending machines can be adjusted to reject coins above and below certain weights. The weights of legal U.S. quarters have a norm
tigry1 [53]

Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%

Step-by-step explanation:

Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.

Let x be the weights of legal U.S. quarters .

Required probability: P(x5.81)

=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275    \ \ \ [By\  P-value\ calculator]

The percentage of legal quarters will be rejected by the vending machine = 2.275%

5 0
3 years ago
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