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1 year ago

Find the term that must be added to the equation x2 4x=1 to make it into a perfect square.

Mathematics

1 answer:

AVprozaik [17]1 year ago

8 0

The term that must be added to the equation x2+4x=1 to make it into a perfect square is 4.

<h3>What is Quadratic equation?</h3>

Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. Since there is no ax2 term, the equation is linear if a = 0, not quadratic.

<h3>Why is it called a quadratic equation?</h3>

This is true because the Latin word quadratum, which means "square," plus the fact that the area of a square with side length x is equal to x2, make up what is known as the quadratic (or "square-like") definition of a polynomial equation with exponent two.

<h3>According to the given information:</h3>

x²+4x=1

as, the x has coefficient 4.

so,

half the coefficient of x and add and subtract the square of the remaining.

x²+4x + 2 ² - 2² =1

Now,

make the whole square term

x²+4x + 2 ² - 4 - 1=0

( x + 2)² -5= 0

To know more about quadratic equation visit:

brainly.com/question/17177510

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3 years ago

Carter Motor Company claims that its new sedan, the Libra, will average better than 26 miles per gallon in the city. Use μ, the

Aleonysh [2.5K]

Answer:

The true average mileage of the Libra Using Null hypothesis is as ;

H0:μ≤26

(Ha):μ >26

Step-by-step explanation:

Given:

Libra, will average better than 26 miles per gallon in the city

To Find:

Average mileage of the Libra.

Solution:

This problem is related to the null hypothesis and alternate hypothesis.

i.e Null Hypothesis is the statement which is true and statement which contradictory is called alternate hypothesis.

<em>“reject H0” if the sample information favors the alternative hypothesis. </em>

<em>“do not reject H0” / “decline to reject H0” if the sample information is insufficient to reject the null hypothesis</em>

So given that condition is libra will have average better than 26

So it will include 26 and above values .

i.e. True condition is called as null hypothesis (H0)

so true average will be greater than 26

So H0:μ≤26

And the Alternate hypothesis will be the contradictory to true condition

(Ha):μ >26 .

7 0

3 years ago

. Consumer Awareness In 1986, the average cost of a new midsize four-door sedan was $9000. In 1991, the average cost was $12,000

eduard

<u>Answer-</u>

$\boxed{\boxed{y=9000(1.0592)^x}}$

<u>Solution-</u>

Let's assume,

x = number of years after 1986

y = average cost of sedan in dollar

The exponential model that will model the scenario will be in the form of,

$y=ab^x$

where a and b are constants

As given that, in 1986 average cost of sedan was $9000 and in 1991 average cost of sedan was $12000

So, the points (0, 9000) and (5, 12000) will satisfy or lie on the exponential curve.

Putting (0, 9000) in the equation,

$\Rightarrow 9000=ab^0$

$\Rightarrow a\times 1=9000$

$\Rightarrow a=9000$

Now, the equation becomes $y=9000b^x$

Putting (5, 12000) in this equation,

$\Rightarrow 12000=9000b^5$

$\Rightarrow b^5=\dfrac{12000}{9000}$

$\Rightarrow b=\sqrt[5]{\dfrac{4}{3}}$

$\Rightarrow b=1.0592$

Putting the values,

$y=9000(1.0592)^x$

As we have to calculate the cost of sedan in 2000, so putting x=14(as 2000-1986=14),

$y=9000(1.0592)^{14}=20134.18$

Therefore, cost of a car in the year 2000 will be $20134.18

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2 years ago

5x+3=23<br>what is the answer?

Margaret [11]

Answer:

Step-by-step explanation:

Sub both sides by 3 then describe 20 by 5.

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3 years ago

Read 2 more answers