How can you graphically tell if a quadratic equation will have a complex solution?

Answers

Answer 1

Answer:

If it does not cross the x axis.

Step-by-step explanation:

If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution

The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.

Answer 2
if the equation doesn’t cross the X-axis

Related Questions

PLEASE HELP ME! I am not sure how to answer this question.​

Answers

Answer:

yes

Step-by-step explanation:

the diagnols are congruent meaning that the diagnol lines in the middle are the same length. So theoretically the left and right lengths are the same, and the top and bottom lengths are the same. The triagles named both have the same base and they're hieght is sbviouysly the same so they would be SSS each of the sides on one triangle coresspondes to the other.

Anoushka needs to stain the circular wooden deck in the backyard. The deck has a diameter of 30 feet. A gallon of stain covers approximately 250 square feet. Each gallon is $33.99. How much will Anoushka spend in order to stain the deck? Use 3.14 to approximate .

Answers

Answer:

$101.97

Step-by-step explanation:

Diameter of circular wooden deck = 30 ft

Radius of the deck = ½ of diameter = ½*30 = 15 ft

Area of deck = πr² = 3.14*15² = 706.5 ft²

1 gallon covers 250 ft² (1 gallon = 250 ft²)

Let x be the number of gallons that will cover 706.5 ft² of the deck

Thus:

1 gallon = 250 ft²

x = 706.5 ft²

Cross multiply

1*706.5 = 250*x

706.5/250 = x

2.826 = x

Number of gallons to cover the deck is approximately 3 gallons (approximated to nearest whole number). Since the we can't buy a gallon that is not full, we approximate to give us 3 gallons.

1 gallon cost $33.99 (1 gallon = $33.99)

3 gallons cost: 3*33.99 = $101.97

Solving each proportions 10/8=n/10

Answers

Answer:

n=12.5

Step-by-step explanation:

10/8=n/10

multiply the denominator and numerators 10 ad 10=100 divide by 8=12.5

how do i put 5x^2+6+3xy^5-2x in standard form

Answers

Answer:

it's 3xy^5 + 5x^2 -2x +6


The volume, V, of a certain gas varies inversely with the amount of pressure, P. placed on it. The volume of this gas is 175
cm' when 3.2 kg/cm² of pressure is placed on it. What amount of pressure must be placed on 400 cm' of this gas?
2.86 kg/cm2
1.31 kg/cm?
7.31 kg/cm2
1.40 kg/cm2

Answers

Answer:

1.3 kg/cm

Step-by-step explanation:

In a triangle, the measure of the middle angle
is triple the measure of the smallest angle, and
the measure of the largest angle is 55° greater
than the measure of the smallest angle. Find
the measures of the
angles.

Answers

Let the smallest angle in a triangle be = x

Largest angle in a triangle = 55 + x

The middle angle in a triangle = 3x ( triple the measure of the smallest angle )

Their sum = 180° ( according to the angle sum property all the angles of a triangle sum up to 180° )

This can be written as :

= x + 55 + × + 3x = 180

Let us find each angle by solving the equation .

= x + 55 + x + 3x = 180°

= x + x + 3x + 55 = 180°

= 5x + 55 = 180°

= 5x = 180 - 55 ( transposing +55 from LHS to RHS changes +55 to -55 )

= 5x = 125

= x = 125 ÷ 5 (transposing ×5 from LHS to RHS changes ×5 to ÷5 )

= x = 25

Using this let us find the measure of each angle .

Smallest angle = x = 25

Smallest angle = 25°

Middle angle = 3x = 3 × 25 = 75

Middle angle = 75°

The largest angle = x + 55 = 25 + 55 = 80

Largest angle = 80°

Therefore , the measure of the smallest angle = 25° , the measure of the middle angle = 75° and the measure of the largest angle = 80° .

We have that the measures of the  angles are as follows

[tex]\theta_1=80 \textdegree[/tex]

[tex]\theta_2=75 \textdegree[/tex]

[tex]\theta_3=25 \textdegree[/tex]

From the question we are told that:

The measure of the middle angle  is triple the measure of the smallest angle

The measure of the largest angle is 55° greater  than the measure of the smallest angle

Let

[tex]\theta_1=Largest\ angle[/tex]

[tex]\theta_2=Middle\ angle[/tex]

[tex]\theta_3=Smallest\ angle[/tex]

Therefore

[tex]\theta_1=55 \textdegree+\theta_3\\\\\theta_2=3*\theta_3[/tex]

Generally, the equation for the angle of a triangle is mathematically given by

[tex]\theta_1+\theta_2+\theta_3=180[/tex]

Therefore

[tex]55 \textdegree+\theta_3+3*\theta_3+\theta_3=180[/tex]

[tex]\theta_3=25 \textdegree[/tex]

Therefore

Substitute [tex]\theta_3[/tex] into equations of [tex]\theta_1[/tex] and [tex]\theta_2[/tex]

For [tex]\theta_1[/tex]

[tex]\theta_1=55 \textdegree+25 \textdegree\\\\\theta_1=80 \textdegree[/tex]

For [tex]\theta_2[/tex]

[tex]\theta_2=3*\theta_3[/tex]

[tex]\theta_2=3*25 \textdegree[/tex]

[tex]\theta_2=75 \textdegree[/tex]

in conclusion

The measures of the  angles are as follows

[tex]\theta_1=80 \textdegree[/tex]

[tex]\theta_2=75 \textdegree[/tex]

[tex]\theta_3=25 \textdegree[/tex]

For more information on this visit

https://brainly.com/question/17581080

Please help asap!! I'll give you brainliest!!

What is the slope of the function, represented by the table of values below?

Answers

Answer:

-4

Step-by-step explanation:

To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.

What are the y-intercepts to graph the equation -4x – 3y = 36?

Answers

4x-3y =36

Move the constant to the left by adding its opposite to both sides

4x-3y-36=36-36

The sum of two opposites equals 0

Answer: 4x-3y-36=0

PLEASE MARK ME AS BRAINLIEST

Find the x - and y - intercepts of the graph of the linear equation-4x+8y=-16

Answers

Answer:

y-intercept: (0, -2)

x-intercept: (4, 0)

Step-by-step explanation:

The x intercept occurs when y = 0, so you can substitute 0 in for y and solve for x as shown:

-4x+8y=-16

-4x+8(0)=-16

-4x+0=-16

-4x=-16

x=4 ---------- format correctly in (x, y) : (4, 0)

The y intercept occurs when x = 0, so you can substitute 0 in for x and solve for y as shown:

-4x+8y=-16

-4(0)+8y=-16

0+8y=-16

8y=-16

y=-2 ---------- format correctly in (x, y) : (0, -2)

0.39/0.75 as a decimal​

Answers

Answer:

0.52

Step-by-step explanation:

Divide.

Answer:

0.3333333333333333333333 it non terminating

a little boy gets a haircut.the total cost is $24 and the tip should be 10% how much should the barber get as a tip?

Answers

Answer:

2.40$ or 2.4$

Step-by-step explanation:

divide 24 and 10 and you should get the answer of 2.40$ or 2.4$

simplest radical form
-5√243-3√27​

Answers

Answer:

-54√3

Step-by-step explanation:

Janice determined there were 10 possible outcomes when tossing two coins and spinning a spinner numbered 1 through 6. What is the correct number? What might have been Janice's error? 3; There are only 3 events. 6; There is only 1 possible outcome for the coins. 24; She added the number of possibilities instead of multiplying. 36; The spinner was spun twice.

Answers

Answer:

c: 24

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Solve for f 7a - 3d + 6f = 5

Answers

Answer:

f = 5/6 - 7a/6 + d/2

Step-by-step explanation:

Is this a function or no

Answers

I believe this is not a function(pleaseee give me a like)
That’s most definitely not a function..

Tell me a cool, fun fact, best fact gets. Brainliest

Answers

Answer:

The moon has moonquakes.

Step-by-step explanation:

The heads on Easter Island have bodies.

-4x+3=-2 y=x-1 solve for x and y

Answers

Answer:

x=1 1/4 (1.25), y=1/4

Step-by-step explanation:

Since the equation "y=x-1" seems simple enough, we're going to plug that in for our other equation, "-4x+3=-2".

1. Rearrange y=x-1 to fit our other equation, -4x+3=-2.

y=x-1 (add 1 to both sides)

y+1=x x=y+1

2. Plug our newly rearranged equation into -4x+3=-2.

-4(y+1)+3=-2

-4y-4+3=-2 (distributive property)

3. Add/subtract like terms.

-4y-1=-2

4. Get y to be by itself.

-4y=-1 (add 1 to both sides)

y=1/4

1. Now for y=x-1. Plug 1/4 into y.

1/4=x-1

1 1/4=x

7. Given (3, 5) and (-2, 1), find the slope of the line passing through these two points.​

Answers

Answer:

4/5

Step-by-step explanation:

y2-y1/x2-x1 so....... 5-1/3-(-2)

You plug it into the equation for calculating slope:

(Y₂ - Y₁) ÷ (X₂ - X₁)

Let X₂ be 3 and Y₂ be 5.

X₁ = -2 and Y₁ = 1.

(5 - 1) ÷ (3 - (-2))

4 ÷ 5

4/5

The slope is 4/5.

Hope this helps

Someone helppppppppppppp

Answers

Answer:

10 and 11

Step-by-step explanation:

10 and 11.

These are the closest whole numbers, because the square root of 100 is 10, and the square root of 121 is 11.

If this helped, please rate and give THANKS!

a fair coin is tossed 14 times, what is the probability of exactly 6 heads

Answers

Answer:

42.85% or 6/14

Step-by-step explanation:

6 / 14 = 0.428571428571

0.428571428571 * 100 ~ 42.85%                

Can I get Brainliest?                    

Barry and Michael lifted and moved a television that weighed 45 pounds. About how much did the television weigh in kilograms? (1 pound ≈ 0.454 kilograms)

Answers

Answer:

I NEED HELP WITH THIS TWO

Step-by-step explanation:

? i need help two

There are approximately 1.2 × 10 8 households in the U.S. If the average household uses 400 gallons of water each day, what is the total number of gallons of water used by households in the U.S. each day?

Answers

Answer:

Que

Step-by-step explanation:

“six more than three times x is less than 12

Answers

Answer:

6+3x<12

do u need x or just this

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

What are the y vale’s of the equation y = -3x + 4 at x values -1, 0, 1, 2?

Answers

Answer:

(-1, 7)

(0, 4)

(1, 1)

(2, -2)

Step-by-step explanation:

y = -3x + 4

y = -3(-1) + 4 = 3 + 4 = 7

y = -3(0) + 4 = 4

y = -3(1) + 4 = 1

y = -3(2) + 4 = -6 + 4 = -2

name the sets of numbers to which 7/9 belongs

Answers

Answer:

OK.

the sets are

natural numbers (or counting numbers), this is like 1,2,3,4,5 etc

whole numbers, this is including 0, so 0,1,2,3,4,5,6 etc

integers, this includes the previoius set and negatives, so -3,-2,-1,0,1,2,3,4,5 etc

rational numbers, this is the set of numbers that can be written in form a/b where b≠0, so all integers can be written like this, like example -3=-3/1, so -7/9 belongs here

-7/9 goes in the rational set

Franco begins to save for a new Lego set that costs $65. His parents gave him $35 towards the cost and he plans to save $5 per week.
Write an equation modeling the total amount he has saved

Answers

Answer:

T = 35 + 5s

Step-by-step explanation:

Here, we want to write an equation for the the total amount that has been saved.

Let the number of weeks he has saved for be s

Then his total savings will be 5 * s = 5s

Now let’s add the $35 from his parents

This will give 35 + 5s

let T be the total

amount that hass beeem saved

So;

T = 35 + 5s

where a represents the number of weeks for which he has saved and T represent the total money that has been saved

Given that 1 pound equals 16 ounces, how many pounds are in 116 ounce -) A) 6.75 pounds B) 7.25 pounds 7.5 pounds D) 7.75 pounds​

Answers

Answer:

B)7.25

Step-by-step explanation:

16x7.25=116

1572 divide 0.3 you must show all workings

Answers

Answer:

5240

Step-by-step explanation:

Find the value of each variable.

Answers

X = 5
M1 = 22
M5 = 22
The measure of angle 1 and 5 are congruent

Is it 1 2 3 or 4? I need to know

Answers

Answer:

I think it is 1

I'm almost positive

Non of those answers seem right bc 5(1/3) = 1.66666 and 3(2/5)=1.2 and 3(3/7)=1.2857 so I guess they aren’t proportional.
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