All categories

3 years ago

Which statement best describes the equation (x + 5)2 + 4(x + 5) + 12 = 0?

Mathematics

2 answers:

lidiya [134]3 years ago

6 0

Answer:

Option 1 is correct.

Step-by-step explanation:

Given the equation $(x + 5)^2 + 4(x + 5) + 12 = 0$

we have to choose the best statement describes the above equation.

$(x + 5)^2 + 4(x + 5) + 12 = 0$ → (1)

As, the highest degree of its monomials i.e individual terms with non-zero coefficients is 2.

⇒ Degree of above equation is 2.

hence, the given equation is quadratic equation.

The general form of quadratic equation is

$ax^2+bx+c$

In variable u: $u^2+u+c=0$ → (2)

Now, compare equation (1) with (2), we say that

The equation is quadratic in form because it can be rewritten as a quadratic equation with u substitution u = (x + 5).

Option 1 is correct.

Thepotemich [5.8K]3 years ago

4 0

Quadratic, because of the first option, yo would get u^2+4u+12=0

You might be interested in

A concession stand charges $2.50 for a bag of popcorn. The stand has already sold 30 bags of popcorn. How many more bags x of po

vesna_86 [32]

Answer:

The concession stands needs to sell 14 or more bags.

Step-by-step explanation:

Given that:

Cost per bag of popcorn = $2.50

Number of bags already sold = 30

Cost of 30 bags = 30*2.50 = $75

Bags needs to be sold to make $110 = x

2.50x + 75 ≥ 110

2.50x ≥ 110-75

2.50x ≥ 35

Dividing both sides by 2.50

$\frac{2.50x}{2.50}\geq \frac{35}{2.50}\\x\geq 14$

Hence,

The concession stands needs to sell 14 or more bags.

3 0

3 years ago

Which polynomial function of lowest degree with rational real coefficients

vfiekz [6]

Answer:

a polynomial with degree coefficient real number can be a negative number

i guessed i am not sure

7 0

3 years ago

Complete the equation of the line through (-10,-7)(−10,−7)(, minus, 10, comma, minus, 7, )and (-5,-9)(−5,−9)(, minus, 5, comma,

Tanzania [10]

Answer:

$y = -\frac{2}{5}\cdot x - 11$

Step-by-step explanation:

First, the slope is determined by using the following expression:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \frac{-7-(-9)}{-10 - (-5)}$

$m = -\frac{2}{5}$

The y-intercept is found by using the line equation, the slope and one point:

$y = m \cdot x +b$

$b = y - m\cdot x$

$b = -7 - \left(-\frac{2}{5}\right)\cdot (-10)$

$b = -11$

The equation of the line is:

$y = -\frac{2}{5}\cdot x - 11$

7 0

4 years ago

Use and list a line of your choice that's neither horizontal nor vertical to reflect the object and show where it ends up.

EastWind [94]

Ughhh I’m not totally sure I’m sorry I tried looking it up for you

4 0

3 years ago

Explain pls and thanks

murzikaleks [220]

Starting more simply, if we wanted to know how many students like pink in general, that's 68/100. We could do that for each single category and the fractions would add together to equal 1. Now say we wanted to know something about that 68/100 people. That 68 is our new 100%, or another way of looking at it is if we take however many people like pink and don't like black and those that do like black, they will equal 68/68.

The number of people that like pink but don't like black is 41/68 and those that like pink and black are 27/68. 27+41=68 For the question of your problem it is asking about those that do not like pink which you can tell from the table or use from my saying 68/100 like pink is 32. Now you can split that into those that do or don't like black, and the two results will equal 32/32.

7 0

3 years ago