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Lubov Fominskaja [6]
2 years ago
11

What are the solutions for x when y is equal to 0 in the following quadratic

Mathematics
1 answer:
navik [9.2K]2 years ago
6 0

<u>Answer:</u>

The correct answer option is E) No solution.

<u>Step-by-step explanation:</u>

We are given the following quadratic equation which we are to solve for x when the value of y is 0:

y = x ^2+ 6x +12

x ^2+ 6x +12=0

Using the quadratic formula since there are no factors:

x=\frac{-b \pm \sqrt{b^2-4ac }}{2a}

Substituting the values in the formula to get:

x=\frac{-6 \pm \sqrt{6^2-4(1)(12) }}{2(1)}

x=-3+\sqrt{3}i or x=-3-\sqrt{3}i

There are no real number solutions to this quadratic equation.

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Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether th
Varvara68 [4.7K]

QUESTION A

The given points are

(x_1,y_1)=(8,3) and (x_2,y_2)=(9,8)

The slope can be found using the formula;

m=\frac{y_2-y_1}{x_2-x_1}

We substitute the point to obtain;

m=\frac{8-3}{9-8}

This simplifies to

m=\frac{5}{1} =5

Therefore the slope is 5.

QUESTION 2

A positive slope indicates a rising line

A negative slope indicates a rising line

A zero slope means the line is horizontal.

An undefined slope means the line is vertical.

The correct answer is

A. The line rises from left to right.

3 0
2 years ago
Read 2 more answers
Identify the type of function that models the situation below: The cost of mailing a letter is $0.37 for the first ounce and $0.
Gwar [14]

Answer:

The correct option is;

Step function

Step-by-step explanation:

The given information are;

The cost of mailing a letter for the first ounce= $0.37

The cost for each additional ounce = $0.23

Therefore, the cost of mailing a letter can be found from the relation;

y = (N-1) × $0.23 + $0.37

The step function can be represented as follows;

f(x) = a[b(x - h)] + k

Where;

(h. k) = The starting points

a = The vertical step separation

b = The horizontal step separation

Therefore, in the question, we have;

a = $0.23

b  = 1

h = 1

k = $0.37

Which gives;

f(x) = $0.23 × [1(x - 1)] + $0.37 = $0.23 × (x - 1) + $0.37

f(x) = $0.23 × (x - 1) + $0.37 which is similar to y = (N-1) × $0.23 + $0.37

Therefore the function that models the situation is step function.

8 0
3 years ago
Use the net to find the approximate surface area of the cylinder to the nearest square meter.
ch4aika [34]
The awnser is 367.38 to the 3rd power only if its volume but if its surface area then it would be to the 3rd power. do u get it?

4 0
3 years ago
Help I’ll mark brainlist if correct :)
____ [38]

Answer:

20

Step-by-step explanation:

The whole straight line is 180 degrees. Add 3x, 2x, and 4x all together to get 9x. Then do 180/9x. This will give you 20. x=20.

5 0
3 years ago
Which shape represents 6% of the rectangle?
Aleks04 [339]

Answer:

Step-by-step explanation:

D

area of rectangle=25*12=300

6 % of area=300*6 %=18

area of D=1/2 *6*6=18

so  D

6 0
2 years ago
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