Consider the equation 5x^2-10x+c=0. What values of c result in the equation having a complex solutions? Represent your answer on the number line
Answers
Answer:
When we have a quadratic equation:
a*x^2 + b*x + c = 0
There is something called the determinant, and this is:
D = b^2 - 4*a*c
If D < 0, then the we will have complex solutions.
In our case, we have
5*x^2 - 10*x + c = 0
Then the determinant is:
D = (-10)^2 - 4*5*c = 100 - 4*5*c
And we want this to be smaller than zero, then let's find the value of c such that the determinant is exactly zero:
D = 0 = 100 - 4*5*c
4*5*c = 100
20*c = 100
c = 100/20 = 5
As c is multiplicating the negative term in the equation, if c increases, then we will have that D < 0.
This means that c must be larger than 5 if we want to have complex solutions,
c > 5.
I can not represent this in your number line, but this would be represented with a white dot in the five, that extends infinitely to the right, something like the image below:
Related Questions
The ratio of brown tiles to white tiles in Mrs.Harris kitchen in 4 to 5. There are 180 white tiles in the kitchen. What is the total number of tiles in mrs. Harris kitchen
Answers
Answer:
405
Step-by-step explanation:
Don't be confused about setting up the proportion. White has to go with white which is 4 and brown goes with 5.
The total is 9.
so proportion will look like this.
4/9 = 180/x Cross Multiply
Before I solve this, notice that the white data is on top of the fraction, and the total is on the bottom of the fraction on either side of the proportion.
4x = 180 * 9
4x = 1620
x = 1620 / 4
x = 4 0 5
Notice that the brown is going to be bigger than the white but not by much
White 180
Brown 405 - 180 = 225
Total 405
can you please help me?
Answers
Skew means they aren’t parallel, nor do they intersect.
(I WILL GIVE 30 POINTS PLEASE HELP ME)
1. Which is the slope of the line that passes through the points (1,1) and (2,7) ?
1a. Pick a point the line passes through above and with the slope you calculated, find the y- intercept
1b. Now that you know the y- intercept, what is the equation of the line ?
Answers
Hello!
1)First, they ask us to find the slope. [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex] is the slope formula.
The slope is 6
2)Let's just use the point they gave us (1,1)
We need to substitute the point in the equation and solve.
The y-intercept is -5
3) y=mx+b (m=slope b=y-intercept)
y=6x-5
I really hope this helps :-)
Help me with this question.
Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance.
If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
Enter your answer in the box.
Answers
Answer:
3 Months.
Step-by-step explanation:
1 Month: J = $160 P = $200
2 Months: J = $200 P = $220
3 Months: J = $240 P = $240
the difference of p and 4..
Answers
Answer:
Step-by-step explanation:
is there a graph or something? or are you supposed to write it out as an equation, cuz if so its p-4
Answer:
p - 4
Step-by-step explanation:
when it says "the difference" its a subtraction
when it says "of ___ and ___" the subtraction is between these two number; therefore the expression is p - 4
if it had said "the sum" it will be addition
if it had said "the product" it will be multiplication
3(2+q)+15 simplified
Answers
Answer:
6+ 3q+15
Step-by-step explanation:
I hope this is what you needed!
Peter bought 8 lemons for $6,. Each lemon was the same price.
What was the cost for 1 lemon?
Answers
Answer:
.75 cents
Step-by-step explanation:
What is 64.2 multiplied by 0.25
Answers
Answer:
16.05
Step-by-step explanation:
multiplication
Answer:
16.05
Step-by-step explanation:
In which step did Helena make an error
Answers
Answer:
You have to post the picture so we can help.
Step-by-step explanation:
Plz help Asap!
A serval, an African wildcat, leaps high above the ground to pounce on its prey. The height of the serval above the ground in relation to the horizontal distance it travels, both measured in feet, is modeled by the given function.
What does the domain of the function represent in this situation?
A.
the horizontal distance the serval travels during its leap
B.
the height of the serval along the path of its leap
C.
the horizontal distance at which the serval reaches its maximum height above the ground
D.
the maximum height the serval reaches above the ground
Answers
Answer:
A. the horizontal distance the serval travels during its leap
Step-by-step explanation:
In this situation, the height along the path that the serval leaps is represented on the y-axis (range value), as against its corresponding horizontal distance on the y-axis (domain value) during the course of its leap.
Therefore, in this situation, the the horizontal distance the serval travels during its leap is the domain of the function.
Write an equation in slope-intercept form of the line shown.
Answers
Answer:
Step-by-step explanation:
y2-y1/x2-x1
1+3
3-1
your slope is 4/2 or 2. keep going down to find what y is when x is 0, which happens to be -5
so now you have a slope and a y intercept you can solve like y=mx+b where m is your slope and B is your y intercept
y=2x-5 is your answer
If a dog weighs 240 ounces, how many grams does the dog weigh?
Answers
Answer: If the dog weighed 240 ounces it would weigh 6803.89 grams
Step-by-step explanation:
If a cell is placed in a _____ solution, it will cause the cell to swell.
Answers
Answer:
A hypotonic solution causes a cell to swell, whereas a hypertonic solution causes a cell to shrink.
Question 7 of 25
If two line segments have the same length, which of the
following must be true?
A. They form a right angle.
B. They are congruent.
ht
C. They are equal.
O D. They share an endpoint.
Answers
Suppose that
g(x) = f(x)•h(x),
f(3) = 6,
h(3) = 2,
h'(6)=4,
h'(3)=15 and
f'(3) = 8.
Find g(3).
(A) 32
(C) 106
(B) 8
(D) 60
Answers
Answer:
g(3) = 6*2 = 12
Step-by-step explanation:
In this problem you're given more information than is necessary to solve it.
g(x) = f(x)*h(x) is the product of functions f and h.
If x has the value 3, then:
f(x) = f(3) = 6, h(x) = h(3) = 2. Thus, when x = 3 we have g(x) = g(3) = 6*2 = 12
The value of g(3) using g(x) = f(x)·h(x) is 12.
Given that, g(x) = f(x)·h(x).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Put x=3 in g(x) = f(x)·h(x), we get
g(3) = f(3)·h(3)
⇒ g(3) =6×2
= 12
Therefore, the value of g(3) using g(x) = f(x)·h(x) is 12.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
What is the simplified form of the expression?
Answers
Answer:
7c²d-7c+4d-10, you first do 5c²d+2c²d, then you do -4c-3c, after that you do +3d + d and finally you do -3-7.
I hope I helped you
hope this helps
Solve for y: -5y + 6 = 16
A. -14/5
B. -2
C. 14/6
D. 2
Answers
Answer:
b
Step-by-step explanation:
i think it is b the answer is b
10³ ÷ (25×4) = Please
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10³ ÷ (25×4)
1000 ÷ 100 = 10
HELP DUE IN 4 MINS WILL GIVE BRAINLYIST
Use the graph to fill in the table
Answers
Answer:
Step-by-step explanation:
process 0=20 1=50 2= 80 3=110 4=140 5=170 6=200
total cost =770
HELP PLEASE ASP !!!! WILL GIVE BRAINLIEST
Select the slope of the line
Answers
Answer:
Undefined.
Step-by-step explanation:
The line given on the graph is vertical.
All vertical lines have an undefined slope.
This is because that it has no horizontal (run) change.
If you used the slope formula for the points, the denominator of the fraction will be a zero, and and you cannot divide by zero.
Hope this helps!
Brainilest is appreciated.
Determine whether the given equation has one solution, no solution, or infinitely many solutions.
2 - 3(x + 4) = 3(3 - x)
cannot be determined
one solution
no solution
infinitely many solutions
Answers
Answer:
one solution is your answer to the question
Answer:
Perform the indicated multiplication: 2 - 3x - 12 = 9 - 3x
Gather all the x terms on one side and all the constants on the other:
-3x + 3x = 9 + 12 - 2, or 0 = 19
since this is never true, 2 - 3x - 12 = 9 - 3x has no solution.
i need hep plsss T-T
what is 5/6 rounded to the nearest hundredth?
Answers
Answer:
0.83
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
5 / 6 = 0.833
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 833
Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*
In this case, Rule I applies, so 5/6 (or 0.833) rounded to the nearest hundredth in decimal format is:
0.83
Triangle LMN isosceles,
Answers
Answer:
In the given figure, Triangle LMN is an isosceles triangle with angle m = angle n and angle p bisects angle NLQ. Prove that angle P is parallel to MN.
Which expression is the factored form of
X2-7x + 10?
O (x + 3)(x + 4)
O (x - 3)(x-4)
O (x-2)(x - 5)
O (x + 2)(x + 5)
Answers
Answer: It’s C on edge. Have a nice day :)
Step-by-step explanation:
jenet can make 4/5 on a necklace in 20 minutes.at this rate how many necklaces to the nearest tenth of a necklace can jenet make in 1 hour
Answers
Answer:
She can make 2 2/5 of a necklace. Which is 2.4 to the nearest tenth.
Step-by-step explanation:
Pablo mixes 3 units white paint and 1 unit black paint to make gray paint. What two equations show the relationship between units of white paint, w, and units of black paint, b? Show your work.
Answers
Answer:
[tex]w = \frac{1}{3}b[/tex] and [tex]b = 3w[/tex]
Step-by-step explanation:
Represent white paint with w and black with b
Given
When w = 3; b = 1
Required
Determine the two equations
To get a gray paint, the w and b are needed in the following proportion:
[tex]3 * w = 1 * b[/tex] -----(1)
Solve for b
[tex]3 * w = b[/tex]
Reorder
[tex]b = 3 * w[/tex]
[tex]b = 3w[/tex] ---- This is an equation
To get another equation,
Recall that
[tex]3 * w = 1 * b[/tex]
Solve for w
[tex]3*w = b[/tex]
[tex]3w = b[/tex]
Make w the subject
[tex]w = \frac{1}{3}b[/tex]
Hence, the equations that show the relationship between w and b are:
[tex]w = \frac{1}{3}b[/tex] and [tex]b = 3w[/tex]
Find the y-intercept of the following equation. Simplify your answer. y = 8x + 10 y-intercept=
Answers
Answer:
10
Step-by-step explanation:
whats 1 + 1 I NEED HELP ASAPPPPPPPP
Answers
Answer:
2
Step-by-step explanation:
I AM A BLOODY GENIUS BRUH
The toy rocket is how much inches long?
Answers
10.4
Explanation:
If you zoom in closely you can see the toy rocket is at the 4th tick on the ruler, so this would make the toy rocket 10.4 inches long!
What is an equation of the line that passes through the points (-1, 1) and
(-2,-4)?
Answers
Answer: The equation is y=5x+6
Step-by-step explanation:
Answer:
y=5x+6
Step-by-step explanation:
(-1,1) and (-2,-4)