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azamat
3 years ago
7

Which quadratic equation is equivalent to (x+2)^2+5(x+2)-6=0

Mathematics
2 answers:
Debora [2.8K]3 years ago
7 0

Answer:

x^2+11x+24 =0

Step-by-step explanation:

(x+2)^2+5(x+2)-6=0

Substitute

x+2 =y

y^2+5y-6=0\\(y+6)(y-1)=0\\y=-6,1

Now replace y by x values

x+2=-6\\x=-8\\x+2=-1\\x=-3

Roots are -3 and -8

The equivalent equation would be

(x+3)(x+8) =0\\x^2+11x+24 =0

Elis [28]3 years ago
5 0
X^2 + 9x + 8 = 0

You can get this by multiplying and foiling, then simplifying. 
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Write a quadratic function in standard form with zeros 1 and -10
Licemer1 [7]

Answer:

f(x)=x^2+9x-10

Step-by-step explanation:

<u>Standard Form of Quadratic Function</u>

The standard form of a quadratic function is:

f(x)=ax^2+bx+c

where a,b, and c are constants.

The factored form of a quadratic equation is:

f(x)=a(x-\alpha)(x-\beta)

Where \alpha and \beta are the roots or zeros of f, and a is constant.

We know the zeros of the function are 1 and -10. The function is:

f(x)=a(x-1)(x-(-10))

f(x)=a(x-1)(x+10)

Operating:

f(x)=a(x^2+10x-x-10)

Joining like terms:

f(x)=a(x^2+9x-10)

Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:

\boxed{f(x)=x^2+9x-10}

6 0
3 years ago
Philip took a test and missed 35% of the questions. If he missed 28 questions, how many how questions where on the test
Ghella [55]

Answer:

80 questions

Step-by-step explanation:

  • 35/100 = 28/x
  • 35x = 28(100)
  • 35x = 2800
  • x = 2800/35
  • x = 80
5 0
3 years ago
Read 2 more answers
The table shows a student's proof of the quotient rule for logarithms.
nikklg [1K]

Answer:

The error is at step (3) .

The correct step (3) will be,

\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

Step-by-step explanation:

The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by  assuming the property does hold before proving it. So, the proof is fallacious.

The correct step (3) will be,

\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

5 0
3 years ago
What percent of 12.4 is 12.4
NARA [144]
To find a percentage divide the first number by the second.

\frac{12.4}{12.4}=\frac{1}{1}=1.00

Now that you have your number, move the decimal point over 2 to the right and add your percentage sign.

100.00%

Your answer is 100%
3 0
3 years ago
Read 2 more answers
What is the mean deviation of the following numbers 2 4 6 8 10 12​
olga nikolaevna [1]

Step-by-step explanation:

mean is always equal to additon of total no.s by total no.s

2 + 4 + 6 + 8 + 10 + 12

=42

total no.s = 6 no.s

42/6

=7

therefore 7 is the answer which is the mean deviation of the following no.s .

3 0
3 years ago
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