what are all the different methods for solving quadratic equations? discuss the pros and cons of each. what indicators predict when a quadratic equation will have a complex solution

Answers

Answer 1

Answer: are factoring, using square roots, completing the square and quadratic formula.

Step-by-step explanation:


Related Questions

Using the graph, determine the coordinate of the y-intercept of the parabola.

Answers

Answer:

(0,8)

Step-by-step explanation:

The parabola intercepts at 8 on the y axis, and since the interception has zero x value, x=0.

The graph the coordinate of the y-intercept of the parabola is (0, 8).

What is Intercept?

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilise the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.

Given:

From the parabolic graph we can see that the intersecting point (0, 8)

Now, the y- intercept is the point in the vertical axis.

As, from the graph the coordinate of the y-intercept of the parabola is (0, 8)

Learn more about intercept here:

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how are unit rates and equivalent ratios realted?​

Answers

Answer:

A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... Next, divide the price by the pounds so you can find the unit rate.

Step-by-step explanation:

Answer:

A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... Next, divide the price by the pounds so you can find the unit rate.

Step-by-step explanation:

If y varies directly as x and y = 8 when x = 2, then does y = 3 when x = 12

Answers

Answer:

the initial statement is

y

x

to convert to an equation multiply by k the constant

of variation

y

=

k

x

to find k use the given condition

y

=

3

when

x

=

2

y

=

k

x

k

=

y

x

=

3

2

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

y

=

3

2

x

2

2

−−−−−−−−−−−−

when

x

=

8

then

y

=

3

2

1

×

8

4

=

3

×

4

=

12

Step-by-step explanation:

What’s the answer? -17 - 13.9

Answers

Answer:

-4.1

Step-by-step explanation:

Answer:

-17 - 13.9 = -30.9

Step-by-step explanation:

when subtracting negative and positive numbers you get a negative:

- -  +  =  -

1
What is m∠GEF?
A 55°
B 110°
C 125°
D 235°


2 Decide if each statement about angle measures in a triangle is true or false.
Choose True or False for each statement.


please help I need an answer now, please

Answers

M g is 125 beachside if you move g and. V

Answer:

I'm pretty sure its 125... I remember getting asked this question and it was right. (i am not completely sure if it's right)

Step-by-step explanation:

Which term does not represent the same data as the others?

range
output
x-value
second element

Answers

Answer: x-value

Step-by-step explanation:

the x-value is the input, domain and 1st element.

Answer:

x-value

Step-by-step explanation:

A yellowfin tuna weighs about 380 pounds. A bluefin tuna weighs 620 about pounds. If one fish of each species were caught per​ day, about how many more pounds of bluefin tuna than yellowfin tuna would be caught in a​ week? Solve the problem two different ways.

Answers

Answer:

1680 pounds

Step-by-step explanation:

Given that :

Weight of yellow fin tuna = 380 pounds

Weight of bluefin tuna = 620 pounds

If one fish of each species were caught per day

about how many more pounds of bluefin tuna than yellowfin tuna would be caught in a​ week?

Total pound of bluefin tuna caught in a week:

7 * 620 = 4340

Total pound of yellow tuna caught in a week:

7 * 380 = 2660

(4340 - 2660) = 1680 pounds

Pleaseeeeeee help
I literally have no idea what to do

Answers

Answer:

1. x=π/6+πn, 5π/6+πn

2. x=2π/3+2πn, 4π/3+2πn, π+2πn

3. x=5π/6+πn, 5π/3+πn

4. 2+√3

5. -(√(2-√3))/2

Evaluate the function for the given value.
h(a) = 3a + 3
Find h(7).

Answers

3(7)+3
21+3
Answer
h(7)=24

Answer:

h(7) = 24

Step-by-step explanation:

Hi there !

h(a) = 3a + 3

replace a = 7

h(7) = 3×7 + 3

= 21 + 3

= 24

Good luck !

i will give u brainliest

Answers

Answer:

≈ 7.35

The square root of 54 is close to 7.

7 squared = 49 and that is close to 54, but the square root of 54 is slightly larger

If one mile equals 5280 feet how many feet are in 7 miles

Answers

Answer:36960

Step-by-step explanation: multiply 5280 * 7

Multiply 5280 by 7.

5280 times 7 = 36960

There are 36960 feet in 7 miles.

whats the answer to number 5 please and thank you? please write down the steps too

Answers

Answer:

77 degrees.

Step-by-step explanation:

All triangles equal up to a measure of 180 degrees.

If one side is 26 degrees, and the other sides are congruent, meaning the same, then:

1. 180-26 = 154

2. 154/2 = 77

The measures of the other sides are 77 degrees.


Question 7 (1 point)
Maria has a bank containing nickels, dimes, and quarters. In all there are 22 coins totaling $2.55. The number of dimes is 4 less than the
number of nickels and quarters combined. Find the number of nickels, dimes, and quarters in Maria's bank. Type your answer in that order
using numbers only.
x= number of nickels
y number of dimes
z = number of quarters
Blank 1:
Blank 2:
Blank 3:

Question 8 (1 point)
Suppose you invested $5000 in three different funds for one year. The funds paid simple interest of 8%, 10%, and 7% respectively. The total
interest at the end of the year was $405. You invested $500 more at 10% than 8%. How much did you invest in the 10% fund?
x= money invested in 8% fund
y-money invested in 10% fund

Answers

Answer:

answer for 8 is 1500

Step-by-step explanation:

Explain how you can use equivalent fractions to find the quotient of 2÷3÷4.​

Answers

Answer:

Just to let you know this is from another user on brainly i found before THIS IS NOT MT INFO

Step-by-step explanation:

2/3 ÷ 4

¨We use copy dot flip

The flip means make a reciprocal of the second number

2/3 * 1/4

Multiply the numerators

2*1 = 2

Multiply the denominators

3*4 =12

Put the numerator over the denominator

2/12

Simplify

1/6¨

Answer:

1/6

Step-by-step explanation:

You find a fraction that is equal 2/3 and has a multiple of 4 for the numerator. Then you have to multiply the numerator and the denominator by 2 then you get 4/6 divided by 4, since 2/3 is equal to 4/6. So the answer is 1/6.

- I wrote this myself so don't worry and I know this is the right answer! :)

3/2 times 1/4 times 5/3

Answers

Answer:

5/8

Step-by-step explanation:

Take it step by step if you have trouble.

DM me on discord at BLAƆK PIΩK#6762 for math tutor

$15/hour

[tex]\frac{3}{2} * \frac{1}{4} =\frac{3}{8}[/tex]

[tex]\frac{3}{8} *\frac{5}{3} =\frac{15}{24}[/tex]

Which of the following real numbers is NOT and irrational number?

A 35
B 51
C 29
D 49

Answers

Answer:

B

Step-by-step explanation:

cause i said so

1/5 + 2/3

9/13 - 5/13

1/4 + 1/2

2/9 + 5/6

11/12 - 4/6

8/3 + 2/4

4/5 + 6/30


Answers

Answer:

1. 13/15

2. 4/13

3. 3/4

4. 1 1/18

5. 1/4

6. 3 1/6

7. 1

Step-by-step explanation:

i will use the last one as an example, first reduce, so you would find the common denominator, in this case its 6, so you simplify 6/30 to 1/5. then you have 4/5+1/5, so since u have the same denominator, you can add the two numerators above the common denominator, so it would look like 4+1/5. then add the numbers. so you are left with 5/5 which in other words is 1. i hope this helps!

answers look at the photo, hope it helps

For the dilation with center​ (0,0) shown on the​ graph, your friend says the scale factor is 5/2 . What is the correct scale​ factor? What mistake did your friend likely​ make?

Correct answer i know is 2/5, what did the friend do though? here are the choices
A.
Your friend found the ratio between​ non-corresponding sides.
B.
Your friend found the ratio between two sides of the image triangle.
C.
Your friend found the scale factor that enlarges to triangle abc to triangle a'b'c'
D.
Your friend found the ratio between two sides of the original triangle.

Answers

Answer:

i think its b

Step-by-step explanation: if its wrong im sorry its been a while sense i did this

A young sumo wrestler decided to go on a special high − -protein diet to gain weight rapidly. After  1 1 11 months, he weighed  1 4 0 k i l o g r a m s . 140 kilograms. He gained weight at a rate of  5 . 5 k i l o g r a m s 5.5 kilograms per month. Let  y y represent the sumo wrestlers weight ( i n k i l o g r a m s ) (in kilograms) after x months. Whats the y-intercept?

Answers

Given:

After 11 months, sumo wrestler weighed 140 kilograms.

He gained weight at a rate of 5.5 kilograms per month.

To find:

The y-intercept of the equation which represents y the  sumo  wrestlers  weight (in kilograms)  after x  months.

Solution:

Let y represent the sumo wrestlers weight (in kilograms) after x months.  

It is given that he gained  weight at a rate of  5.5 kilograms per month.

So, slope of the line is 5.5.

After  11  months,  sumo  wrestler weighed  140 kilograms. It means the line passes through the point (11,140).

The point slope form of the line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope of the line.

[tex]y-140=5.5(x-11)[/tex]

[tex]y-140=5.5x-60.5[/tex]

Add 140 on both sides.

[tex]y-140+140=5.5x-60.5+140[/tex]

[tex]y=5.5x+79.5[/tex]

Therefore, the required equation is [tex]y=5.5x+79.5[/tex].

Substitute x=0, to find the y-intercept of this equation.

[tex]y=5.5(0)+79.5[/tex]

[tex]y=79.5[/tex]

Therefore, the y-intercept is 79.5. It means initial weight of sumo is 79.5 kilograms.

-3 ( x + 4 ) = 6 ( -x - 1 )

Answers

Answer:

x = 2

Step-by-step explanation:

First distribute:

-3 (x+4) = 6(-x-1)

-3x -12 = -6x -6

Isolate the variable:

-6 = -3x

Simplify:

-6/3 = x

x = 2

Hope this helps!

X=2


I used to do this kinda math so your fine

If you roll a regular die 5 times what is the probability of rolling a 6 at least twice?

Answers

Answer:

0.03215.

Step-by-step explanation:

first person who answer correctly gets a brainllest The perimeter of a rectangle is 64 feet. The length of the rectangle is 3 times the width of the rectangle. If w represents the width of the rectangle, the equation that represents the perimeter is 2 (3 w) + 2 w = 64. Which shows the first step that should be taken to verify that the width of the rectangle is 8?

Answers

Answer:

2(3(8))+2(8)=64

Step-by-step explanation:

Here, w represents the width of the rectangle,

∵ length of the rectangle is 3 times the width of the rectangle,

So, length = 3w,

Since, the perimeter of a rectangle, P = 2(length + width)

= 2(w + 3w)

= 2w + 2(3w)

If P = 64 feet,

⇒ 2w +2(3w) = 64

⇒ 2w + 6w = 64

⇒ 8w = 64

⇒ w = 8

Verification :

P = 2(8) + 2((3(8)) = 16 + 48 = 64 feet

Hence, the first step that should be taken to verify that the width of the rectangle is 8 is 2(3(8))+2(8)=64

Note : a solution obtain from an equation is verified by substituting the value in the equation.

Answer:

im sorry this doesn't help but its not d

Step-by-step explanatio

please can someone smart help me,please do not answer if you dont know the answer,also answer all these questions please:).

Answers

Answer:

Number 7: 22.10 divided by 2.6 = 8.5  or 8.50 (depending on what your teacher prefers.

Step-by-step explanation:

Not sure about question 2 or 10

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought? A.3h−2≤14 B.3h+2≤14 C.3h−2≥14 D.3h+2≥14

Answers

Answer:

D. 3h + 2 ≥ 14

Step-by-step explanation:

Cost of Bottle water = $2

Cost of Hot dogs = $3

Number of hot dogs bought = h

Total cost of hot dogs = price × quantity

= 3 * h

= 3h

Jeff did not spend more than $14

Total cost of bottle water and hot dogs

3h + 2 ≥14

The correct answer is D

D. 3h + 2 ≥ 14

If you want to buy an item in a store that costs $15 and is on sale for 15% off, then how much would the item actually cost you after the discount? Round to the nearest cent.

Answers

You would have to suck a ban

Answer:

its 10 or 20 which every cause its 0.15 cents

Step-by-step explanation:

GIVING BRAINLIEST!!! PRETTY SIMPLE QUESTION!!!

Mei subscribed to a magazine at a rate of $24 for 12 issues. When she placed her order, Mei used a coupon that added 3 free bonus issues to her subscription. How did the coupon impact the cost per issue of Mei’s subscription?

O The coupon lowered the cost per issue by $0.40.
O The coupon lowered the cost per issue by $1.38.
O The coupon raised the cost per issue by $0.13.
O The coupon raised the cost per issue by $0.67.​

Answers

Answer:

The coupon raised the cost per issue by $0.67.​

Step-by-step explanation:

The answer is D, the coupon raised the cost per issue by $0.67

10x - 4 = 16


What does x equal to?

Answers

Answer:

x = 2

Step-by-step explanation:

First isolate the variable:

10x - 4 = 16

      +4   +4

10x = 20

Then get x by itself:

10x = 20

x = 20/10

x = 10

Lines AB and CD are parallel. Find the measures of the three angles in triangle ABF.
What is the angle measurement for A, B, and F. (Make sure they are degrees)
Can you help me with this math question?

Answers

A = 42°

B= 23°

F = 115°

Step-by-step explanation:

The required measures of the three angles in triangle ABF are A = 23°, B = 42°, and F = 115°.

What are Alternate Interior Angles?

Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines

Given that Lines AB and CD are parallel.

To determine the measures of the three angles in triangle ABF.

For finding ∠F,

∠CDF = 180° - 157° = 23°

∠F = 180° - ∠C - ∠CDF

∠F = 180° - 42° - 23°

∠F = 115°

However, if a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.

So ∠A = ∠CDF = 23°

And ∠B = ∠C = 42°

Thus, the required measures of the three angles in triangle ABF are A = 23°, B = 42°, and F = 115°.

Learn more about Alternate Interior Angles here:

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subtract 65 two times from 180

HELP PLS :)

Answers

Answer:

50

Step-by-step explanation:

180 - 65 = 115----> 115 - 65 = 50

what is the slope of (-8,9) , (3,2)

Answers

Answer: -7/11

Step-by-step explanation:

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