The values of x that will give the quadratic equation no real number solutions are -5 and 9
What are real roots of a quadratic equation?Real roots of a quadratic equation are values of x, whose numbers can be represented on a number line.
Analysis:
We have -[tex]x^{2}[/tex] +3x +c = 0
[tex]b^{2}[/tex] - 4ac is called the discriminant of a quadratic equation.
if [tex]b^{2}[/tex] - 4ac < 0, then the quadratic equation has no real root.
where a = -1, b = 3 c = c
[tex](3)^{2}[/tex] -4(-1)c < 0
9 + 4c < 0
4c < -9
c < -9/2
Which means values lower than -9/2 would give the solution no real root.
From, the options, only -5 would give no real solution, since it is lower than -9/2.
Learn more about real roots of a quadratic equation: brainly.com/question/7784687
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10.04 × 8.8= ?
can you help me again please
Answer:
10.04 × 8.8 =?, ? = 88.352 :)
Answer:
88.352
Step-by-step explanation:
10.04
x. 8.8
=88.352
Jeffrey rented a car for spring break. It costs $100 to rent the car plus $8 per mile he was charged $1,316. How many miles did he drive.
Answer:
152 miles
Step-by-step explanation:
Answer:
he drived around 300 mile
What is the difference of the fractions ? PLZ HELP ONLY HAVE 7 MINS
[tex] - 2 \frac{1}{2} - ( - 1 \frac{3}{4} )[/tex]
[tex] - \frac{5}{2} - ( - \frac{7}{4} )[/tex]
[tex] - \frac{10}{4} - ( - \frac{7}{4} )[/tex]
[tex] - \frac{3}{4} [/tex]
How would the average rate of change over years 1 to 5 and years 6 to 10 be affected if the population increased at a rate of 8%?
Answer:
(A): As year increases the number of pikas reduces.
(B): As year increases the number of pikas increases as opposed to when the rate reduces.
Step-by-step explanation:
See comment for complete question
Given
[tex]a = 144[/tex] --- Initial Population
[tex]r = 8\%[/tex] --- rate
(A) WHEN THE RATE DECREASES
First, we need to write out the function when the population decreases.
This is given as:
[tex]f(x) = a(1-r)^x[/tex]
Substitute values for a and r
[tex]f(x) = 144(1-8\%)^x[/tex]
Convert % to decimal
[tex]f(x) = 144(1-0.08)^x[/tex]
[tex]f(x) = 144(0.92)^x[/tex]
Next, we calculate the average rate of change for both intervals using:
[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]
For 1 to 5:
[tex]Rate = \frac{f(5) - f(1)}{5-1}[/tex]
[tex]Rate = \frac{f(5) - f(1)}{4}[/tex]
Calculate f(5) and f(1)
[tex]f(x) = 144(0.92)^x[/tex]
[tex]f(1) = 144*0.92^1 =144*0.92=132.48[/tex]
[tex]f(5) = 144*0.92^5 =144*0.66=95.04[/tex]
[tex]Rate = \frac{95.04 - 132.48 }{4}[/tex]
[tex]Rate = \frac{-37.44}{4}[/tex]
[tex]Rate = -9.36[/tex]
For 6 to 10:
[tex]Rate = \frac{f(10) - f(6)}{10-6}[/tex]
[tex]Rate = \frac{f(10) - f(6)}{4}[/tex]
Calculate f(6) and f(10)
[tex]f(x) = 144(0.92)^x[/tex]
[tex]f(6) = 144*0.92^6 =144*0.61=87.84[/tex]
[tex]f(10) = 144*0.92^{10} =144*0.43=61.92[/tex]
[tex]Rate = \frac{61.92-87.84}{4}[/tex]
[tex]Rate = \frac{-25.92}{4}[/tex]
[tex]Rate = -6.48[/tex]
So, we have:
[tex]Rate = -9.36[/tex] for year 1 to 5
This means that the number of pikas reduces by 9.36 yearly
[tex]Rate = -6.48[/tex] for year 6 to 10
This means that the number of pikas reduces by 6.48 yearly
So, we can say that, as year increases the number of pikas reduces.
(B) WHEN THE RATE INCREASES
First, we need to write out the function when the population decreases.
This is given as:
[tex]f(x) = a(1-r)^x[/tex]
Substitute values for a and r
[tex]f(x) = 144(1+8\%)^x[/tex]
Convert % to decimal
[tex]f(x) = 144(1+0.08)^x[/tex]
[tex]f(x) = 144(1.08)^x[/tex]
Next, we calculate the average rate of change for both intervals using:
[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]
For 1 to 5:
[tex]Rate = \frac{f(5) - f(1)}{5-1}[/tex]
[tex]Rate = \frac{f(5) - f(1)}{4}[/tex]
Calculate f(5) and f(1)
[tex]f(x) = 144(1.08)^x[/tex]
[tex]f(1) = 144(1.08)^1 = 144*1.08= 155.52[/tex]
[tex]f(5) = 144(1.08)^5 = 144*1.47= 211.68[/tex]
[tex]Rate = \frac{211.68 - 155.52}{4}[/tex]
[tex]Rate = \frac{56.16}{4}[/tex]
[tex]Rate = 14.04[/tex]
For 6 to 10:
[tex]Rate = \frac{f(10) - f(6)}{10-6}[/tex]
[tex]Rate = \frac{f(10) - f(6)}{4}[/tex]
Calculate f(6) and f(10)
[tex]f(x) = 144(1.08)^x[/tex]
[tex]f(6) = 144(1.08)^6 = 228.52[/tex]
[tex]f(10) = 144(1.08)^{10} = 310.89[/tex]
[tex]Rate = \frac{310.89-228.52}{4}[/tex]
[tex]Rate = \frac{82.37}{4}[/tex]
[tex]Rate = 20.59[/tex]
So, we have:
[tex]Rate = 14.04[/tex] for year 1 to 5
This means that the number of pikas increases by 14.04 yearly
[tex]Rate = 20.59[/tex] for year 6 to 10
This means that the number of pikas increases by 20.59 yearly
So, we can say that, as year increases the number of pikas increases as opposed to when the rate reduces.
if an angle is three times of its supplement, find the angle
Answer:
135° angleLet the angle be x it's supplement = (180-x)
x = 3 (180-x)
⇒x=540−3x
⇒4x=540⇒x=135°
Step-by-step explanation:
Hope it is helpful....
-9 = 4n - 1
PLS PLS HELP I can't think my brain isn't there anymore.
Answer:
-2
Step-by-step explanation:
-9=4n-1
4n=-9+1
4n=-8
n=-8/4
n=-2
Answer:
x= -2
Step-by-step explanation:
you add 1 to both sides
-9+1=4n-1+1
which gives you
-8=4n
and then divide both sides by 4
-2=n
Which whole numbers does the square root of 104 falls in between?
Answer:
10 and 11
Step-by-step explanation:
The square root of 104 is 10.1980390272. This falls between the whole numbers 10 and 11.
Lines a and b are horizontal and parallel to each other. Line a contains points L and M and line b contains points O and N. Line c is diagonal and intersects line a at point X and line b and point Z. It also contains points H and G. Line d is diagonal and intersects line a at point X and line b at point Y. It also contains points J and K. Triangle X Y Z is created by the lines. Which represents an exterior angle of triangle XYZ? ∠LXZ ∠JXM ∠JXZ ∠HXJ
Answer:
The exterior angle of triangle XYZ is;
∠JXM
Step-by-step explanation:
The question is a word problem with the given parameters;
The points on line 'a' = L and M
The points on line 'b' = O and N
The point line 'c' intersect line 'a' = X
The point line 'c' intersect line 'b' = Z
The points on line 'c' = H and G
The point line 'd' intersect line 'a' = X
The point line 'd' intersect line 'b' = Y
The points on line 'd' = J and K
From the drawing of triangle XYZ created with Microsoft Visio, the exterior angle is ∠JXM
Answer:
Step-by-step explanation:
the answer is JXZ
The wrestling team wants to sell pies for a fundraiser. The cafeteria helped out by donating 2 pies. Each pie will be cut into 4 pieces. If the team wants to sell at least 32 pieces, how many pies must the wrestling team bake?
50 pts if they can pout how they solved it and the answer in an inequality form
Answer:
answer is
Step-by-step explanation:
2+4=6
and 6-32=26 answer
Consider a right triangle ABC where ZC is
the right angle. If sin A = 3/5 and cos A =4/5,
what is cos B?
Answer:
3/5
Step-by-step explanation:
The length of a rectangle is three more than twice it’s width. the area of the rectangle is 189 in^2
What is the width
What is the length
Answer:
Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.
So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.
Hope this helps:)
can someone help solve/understand this?? plzzzz
Answer:
[tex]y = 4(0.5) {}^{x} [/tex]
Step-by-step explanation:
By looking at your graph, The y intercept is (0,4).
This is an exponential function so it is represented by
[tex]y = ab {}^{x} [/tex]
where a is the vertical stretched and b is the constant rate and x is the nth power.
let plug in 0,4
[tex]4 = ab {}^{0} [/tex]
[tex]b {}^{0} = 1[/tex]
since anything to the 0 power is 1.
[tex]4 = a \times 1[/tex]
[tex]4 = a[/tex]
Know let plug it in to this equation.
[tex]y = 4b {}^{x} [/tex]
Let use 2,1 another point on the graph
[tex]1 = 4b {}^{2} [/tex]
Divide 4 by both sides
[tex]0.25 = {b}^{2} [/tex]
take sqr root of 0.25
[tex]0.5 = b[/tex]
So
the answer is
[tex]y = 4(0.5) {}^{x} [/tex]
Solve the linear equation.
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
A. j = -0.45
B. j = -0.25
C. j = 0.25
D. j = 0.45
Answer:
Solve the linear equation [tex]2.25 - 11 - 7.75 + 1.5j= 0.5j - 1[/tex]
✔ [tex]j[/tex] = –0.45
[tex]j[/tex] = –0.25
[tex]j[/tex] = 0.25
[tex]j[/tex] = 0.45
Simplify [tex]2.25 - 11j - 7.75 + 1.5j[/tex] .
Subtract [tex]7.75[/tex] from [tex]2.25[/tex] .
[tex]- 11j - 5.5 + 1.5j = 0.5j -1[/tex]
Add [tex]-11j[/tex] and [tex]1.5j[/tex] .
[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]
Move all terms containing [tex]j[/tex] to the left side of the equation.
Subtract [tex]0.5j[/tex] from both sides of the equation.
[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]
Subtract [tex]0.5j[/tex] from [tex]- 9.5j[/tex].
[tex]- 10j - 5.5 = - 1[/tex]
Move all terms not containing [tex]j[/tex] to the right side of the equation.
Add [tex]5.5[/tex] to both sides of the equation.
[tex]-10j = -1 +5.5[/tex]
Add [tex]-1[/tex] and [tex]5.5[/tex] .
[tex]10j=4.5[/tex]
Divide each term in [tex]-10[/tex][tex]j[/tex] [tex]=4.5[/tex] by [tex]-10[/tex] and simplify.
Divide each term in [tex]-10j = 4.5[/tex] by [tex]-10[/tex].
[tex]\frac{-10j}{-10} = \frac{4.5}{-10}[/tex]
Simplify the left side.
Cancel the common factor of [tex]-10[/tex].
[tex]j= \frac{4.5}{-10}[/tex]
Cancel the common factor.
[tex]\frac{-10j }{-10} = \frac{4.5}{-10}[/tex]
Divide [tex]j[/tex] by [tex]1[/tex]
[tex]j=\frac{4.5}{-10}[/tex]
Simplify the right side.
Divide [tex]4.5[/tex] by [tex]-10[/tex].
[tex]j=-4.5[/tex]
The Final Answer is
[tex]j=-4.5[/tex]
HELP ME PLEASEEEE!!!!ORDER THESE BY VALUE FROM LEAST TO GREATEST!!!
Answer: 5,15,20,25,45
Step-by-step explanation:
1st is 20, 2nd is 25, 3rd is 15, 4th is 45, 5th is 5
what is the answer to this 10x - 25 + 8
[tex]10x-25+8[/tex]
Simplify:
[tex]10x+-25+8[/tex]
Combine Like Terms:
[tex](10x)+(-25+8)\\10x+-17(ANSWER)[/tex]
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Harry Potter has a potion that can change voracious vampires into harmless hobbits. But the chemical evaporates over time and when the concentration in the potion is too weak, it turns the vampires into destructive Demogorgons. Oh no! The half-life of the potion means the amount of time it takes for the potion to lose half of its existing power, measured in magical units. This potion has a half-life of 2 months. Which statement about the potion's strength is correct? * a. Of the original 160 magical units, 5 magical units are left after 10 months of mixing the potion. b. Of the original 160 magical units, 16 magical units are left after 10 months of mixing the potion. c. Of the original 160 magical units, less than 1 magical unit is left after 10 months of mixing the potion. d. Of the original 160 magical units, 20 magical units are left after 10 months of mixing the potion e. Of the original 160 magical units, 80 magical units are left after 10 months of mixing the potion.
Answer:
im going to say c
Step-by-step explanation:
if its has 160 units and goes to half-life after 2 months im assuming it loses 1/2 of the units so in order for it to lose that many it will have to lose 40 units a month so i say its c after 10 months there will be less than 1 unit in the potion
hope this helps im sorry if im wrong have a blessed day :)
The sum of five consecutive integers is 0. Find the integers. Show your solution.
Does anyone know the answer?
Answer:
-2, -1, 0, 1, 2.
Solution
Let x be the middle term of this sequence of 5 terms.
Then the sequence is x-2, x-1, x, x+1, x+2.
The sum of the terms is (x-2) + (x-1) + x + (x+1) + (x+2) = 5x.
Thus 5x = 0.
It gives x = 0.
So the sequence is -2, -1, 0, 1, 2.
What is the value of x?
I’LL GIVE YOU BRAINLIEST IF YOU ANSWER
Simplify the expression shown
-3√6-3√20-√6
And also please show work and explain how you got the answer!!!
Answer:
-4√6-6√5
Step-by-step explanation:
-3√6-3√20-√6 = (-3√6-√6)-3√20 = -4√6-3√20
√20 = √4*√5 or 2√5
substitute that in and you get -4√6-3(2√5) which then becomes
-4√6-6√5
jjjjjjjjjjjjjjjjjjjhhhhhhhhhhhhhhhhbvvvvvvvvvvvvvvvvvvvvv
Answer:
Thanks for the point!
Step-by-step explanation:
Have a great day
Jane was running for 2 hours and 25 minutes and reached her journey at 2:05pm. Calculate the time she started.
Answer:
11:40 am
Step-by-step explanation:
First, I started by subtracting 5 minutes from the additional 25 minutes of running that couldn’t fit into another hour. That would bring the running time to 2 hours and 20 minutes and the end time to 2:00 pm. Take away another 2 hours and you would be left with 20 minutes, with a start time of 12:00 pm. Get rid of the last 20 minutes and you get the start time as 11:40 am.
Check:
11:40 + 2 hours = 1:40 pm
1:40 + 20 minutes = 2:00 pm
2:00 + 5 minutes = 2:05
This is correct
Answer:
11:40 am
First, I started by subtracting 5 minutes from the additional 25 minutes of running that couldn’t fit into another hour. That would bring the running time to 2 hours and 20 minutes and the end time to 2:00 pm. Take away another 2 hours and you would be left with 20 minutes, with a start time of 12:00 pm. Get rid of the last 20 minutes and you get the start time as 11:40 am.
HELP MEEEE I NEED AN ANSWER
I am in need of help
Answer:
I would say the answer is D because the figure is rotated 180 degrees. Letters C and D are pretty much the same just with some differences, but I would say D. Let me know if it's wrong :)
Step-by-step explanation:
How many 7/9 cups servings are in 2/9 cups of juice?!?
Answer:
3
Step-by-step explanation:
I'm going to assume you meant "How many 2/9 cup serving are in 7/9 cup of juice" (since there are no 7/9 cups of serving in 2/9 cups of juice, since 7/9>2/9, and you can't have a serving of something greater than the amount you have).
In this case:
7/9 divided by 2/9=3
Since 7/9 and 2/9 have the same denominater, you can cross them off, since when you divide them, 9 divided by 9=1. 7 divided by 2=3.5, but I'll assume you want full cups.
What is the ratio of the length of the rectangle to its width 24 and 20
Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area of the cover? Use = 3.14 and round the answer to the nearest square foot. ft2
Answer:
38 ft
Step-by-step explanation:
Give the person underneath me brainless now.
Shaun climbed Mount Rushmore at a unit rate of
1,250 meters per minute. How long did it take him to
climb 75,000 meters?
Answer:
60
Step-by-step explanation:
75,000/1,250= 60 mins or an hour
i dont get this pls help with steps asap!
Answer:
2.5
Step-by-step explanation:
it's the midpoint of XZ
Graph the following Line:
6x+3y=6
Answer:
Visit geogebra.com
Step-by-step explanation:
none needed <3
solve the equation for x in simplest form
2 / 3x = 1/6
A x= 1/4
B x= 3/5
C x=1/2
D= x=4/5
Answer:
A x=1/4
Step-by-step explanation:
2/3x = 1/6
Divide by 2/3
so 1/6 ÷ 2/3
= 1/6 • 3/2
= 3/12
= 1/4