Which values of c will cause the quadratic equation –x2 3x c = 0 to have no real number solutions? check all that apply.
The quadratic equation –x2+3x+c =0 does not have any real solution for c<-9/4.
The given quadratic equation is:
[tex]-x^{2} +3x+c=0[/tex]
What is a quadratic equation?Any equation is called a quadratic equation if it has a form [tex]ax^{2} +bx+c=0[/tex] and a≠0.
For no real solution, the discriminant of a quadratic equation should be less than zero.
[tex]D < 0[/tex]
[tex]3^{2} -4(-1)(c) < 0[/tex]
[tex]9+4c < 0[/tex]
[tex]c < \frac{-9}{4}[/tex]
The quadratic equation –x2+3x+c =0 does not have any real solution for c<-9/4.
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Answer:
–5 and -9/2 or the first and second options
pls help can someone play help me giving 21 points
Answer:
42
Step-by-step explanation:
6 x 6 is 36. 3 x 2 is 6. 36 + 6 is 42.
A 3-column table with 6 rows. Column 1 is labeled Month with entries July, August, September, October, November, December. Column 2 is labeled New with entries 35, 45, 20, 27, 51, 38. Column 2 is labeled Used with entries 62, 42, 55, 39, 12, 87.
Hector’s car dealership sells new and used cars. The table shows the number of each type of car the dealership sold by month for the last half of the year. Find the lower and upper quartiles for used cars.
Used Cars
Lower quartile =
Upper quartile =
Answer:
I subtracted the highest and lowest numbers. The range for new cars was 31. The range for old cars was 75. The range for used cars was much bigger.
Hope's this helps you.
Step-by-step explanation:
Write an equation in slope-intercept form for the line with slope -4 and y-intercept 7
Answer:
y = -4x + 7
Step-by-step explanation:
slope-intercept form of a linear equation: y = mx + b
(where m is the slope and b is the y-intercept)
Given:
m = -4y = 7⇒ y = -4x + 7
76. In five successive hours, a car travels 40 km, 45
km, 50 km, 35 km and 55 km. In the next five
hours, it travels with an average speed of 50 km
per hour. Find the total distance the car traveled
in 10 hours.
a. 425 km
b. 450 km
c. 475 km
d. 500 km
Answer:
C
Step-by-step explanation:
C because 475 is equal to an x value of the year axis of the plate in hours
add 4 to 7, then multiply 5 by the result??
Answer:
Step-by-step explanation:the second one
Find the DIAMETER of a circle for the circumference given.
circumference = 34.6 m
A) 2.3 m
C) 11 m
B) 5.5 m
D) 6.5 m
Step-by-step explanation:
2 pi r = 34.6
2 r = 34.6/3.14
d = 11 m
Diameter be d
Circumference=πdπd=34.6d=34.6/πd=11mA fireman leans a ladder against a building. The base of the ladder is 5 feet from the building. The ladder is 13 feet long. How far up the side of the building is the top of the ladder?
12 ft
Using 13 for c, and 5 for a, you can use Pythagorean’s theorem a^2+b^2=c^2 to find b, the height
5^2+b^2=13^2
25+b^2=169
b^2=144
b = 12
Huilan's age is three times Thomas's age. The sum of their ages is 92. What is Thomas's age?
Answer:
23
Step-by-step explanation:
Set Thomas' age to be variable x.
Since Huilan is 3 times the age of Thomas, he is 3x.
3x + x = 92 (The sum of their age)
4x = 92
4x/4 = 92/4 (Isolate x)
x = 23
Extra information: Huilan is 69 because 23 x 3 = 69
Click all that are yes
Answer:
Step-by-step explanation:
What is the product? (negative 3 s 2 t)(4 s minus t) negative 12 s squared minus 2 t squared negative 12 s squared 2 t squared negative 12 s squared 8 s t minus 2 t squared negative 12 s squared 11 s t minus 2 t squared
The product of the expression (-3s + 2t) and (4s - t) is -12s² + 11st -2t². Then the correct option is D.
What is a product?It is also known as multiplication. If the object n is given to m times then we just simply multiply them.
The expression is given below.
(-3s + 2t) and (4s - t)
Then the product of the expression (-3s + 2t) and (4s - t) is given as
(-3s + 2t)(4s - t)
-12s² +3st + 8st - 2t²
-12s² + 11st -2t²
More about the product link is given below.
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What is the surface area of this rectangular prism below?
Answer:
230
Step-by-step explanation:
SA=2(lw+hw+lh), where
l=length
h=height
w=width
2(5*5+9*5+5*9) = 230
How to get rid of a square root in the denominator?.
Answer:
see explanation
Step-by-step explanation:
to clear a square root on the denominator
Multiply the numerator and denominator by the square root, for example
[tex]\frac{5}{\sqrt{3} }[/tex]
= [tex]\frac{5}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = [tex]\frac{5\sqrt{3} }{3}[/tex]
What is the solution to −x≥−5
Answer:
x≤5
Step-by-step explanation:
When multiplying an inequality by a negative number, make sure to reverse the inequality signs. If -x has to be greater or equal to -5, then x has to be lesser or equal to 5
Does anyone know the answer to this?? PLS HELPPP, only answer if you know!
C and D are the two square matrices
C + D
then the answer is A
☆...Hope this helps...☆
Simplify (x + y)² - (x - y)² + 2xy - 3x²
Answer:
[tex]\huge\boxed{\sf 6xy-3x^2}[/tex]
Step-by-step explanation:
Given Expression:
(x + y)² - (x - y)² + 2xy - 3x²
Formulas used:
[tex](x+y)^2=x^2+2xy+y^2[/tex][tex](x-y)^2=x^2-2xy+y^2[/tex]Expand the above expression according to the formulas
[tex]=x^2+2xy+y^2-(x^2-2xy+y^2)+2xy-3x^2\\\\= x^2+2xy+y^2-x^2+2xy-y^2+2xy-3x^2\\\\cancel \ out \ x^2 \ and \ y^2\\\\= 2xy+2xy+2xy-3x^2\\\\= 6xy-3x^2\\\\\rule[225]{225}{2}[/tex]
I need help with this question i don't understand it 5(5r+10s−5)
Answer:
25r+50s-25
Step-by-step explanation:
5(5r+10s−5)
we can follow distributive law
5*5r+5*10s+5(-5)
25r+50s-25
Find the volume of the solid produced by rotating this two-dimensional shape using the axis shown.
Please help
Check the picture below.
so the solid produced will be a cylinder with a hole in the middle, like you see in the picture, hmmm so we could get its volume by simply getting the outer cylinder and subtracting the inner cylinder, or we can just get the volume of the ring on the left and multiply it by its length, so let's do the that.
[tex]\textit{volume of a ring}\\\\ V=\pi (R^2-r^2)~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=3\\ r=1 \end{cases}\implies V=\pi (3^2-1^2)\implies V=8\pi \\\\\\ \stackrel{\textit{\large volume of the hollow cylinder}}{\stackrel{\textit{volume of the ring}}{(8\pi )}\qquad \stackrel{length}{(6)}\implies 48\pi ~~\approx~~150.80}[/tex]
A town is more than 300 feet below sea level. Sea level has an elevation of 0 feet. What is one possible elevation, in feet, of the town?
Answer:
301+
Step-by-step explanation:
The answer can be anything above 300. This means the answer could be 301, or 400, or 350000000000, any of those are correct.
Aeyanna has 16 coins that are dimes and quarters. In
total, the coins have a value of $3.10. How many
dimes does she have? How many quarters does she
have?
Identify your variables:
Answer:
It’s also worth pointing out that the presentation of the algebraic expressions in coin word problems are a bit different and not so straightforward compared to what we’re used to. For example, instead of saying “the number of nickels is 2 more than the number of dimes“, you’ll often see this expressed in coin word problems as “there are 2 more nickels than dimes“. Both algebraic expressions can be written in an equation as n=d+2n=d+2 but just expressed differently.
Step-by-step explanation:
Tamara has 35 coins in nickels and quarters. In all, she has $4.15. How many of each kind of coin does she have? Right off the bat, the problem gives us two important pieces of information. First, it tells us that there is a total number of 35 coins consisting of nickels and quarters. Secondly, the total value of the coins is $4.15. We need to translate these statements into algebraic equations to find how many nickels and how many quarters she has.
BTW hope this helps
Dana has 8 baseball cards, 10 football cards, 4 hockey cards, and 14 basketball cards. All the cards are the same size and shape. Dana will select one card at random.
What is the probability that the care selected will be a hockey card?
A. 1/9
B. 1/8
C. 1/4
D. 1/3
Answer:1/8
Step-by-step explanation:
well the total amount you have of cards is 36 so you will have 4/36 now you just need to reduce and you will get 1/8
PLEASEEEEE SOMEBODY HELP NOW QUICK PLEASEEE
A spinner is split into 8 equal sections. Three sections are purple, 3 sections are silver and 2 sections are white. If you spin the
spinner 240 times, how many times can you expect to land on a silver section?
a. 3
b. 37. 5
c. 90
d. 120
Answer:
c
Step-by-step explanation:
becasue it would have a 3/8 chance of landing on silver , 8 goes into 240 30 times. so if we multiply 3 by 30 it gives us 90.
A taxi charges $2.25 for the initial mile and then 30 cents per each 1/4 mile. If the total charge was $11.00, how far did the taxi travel for that fare?
Answer:
8.29 miles
Step-by-step explanation:
1 mile= 4*1/4=0.30*4=1.20
11=2.25+1.20(m-1)
8.75=1.20(m-1)
7.29=m-1
8.29=m
The sketch below shows a company's plans for a new billboard advertisement.
15 ft
21 ft
If the area of the billboard is 144 ft?, what is the height?
Answer:
8ft
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Can anybody pls help! Offering 25 points! This is due soon!
Answer: A' (1, 5)
B' (-3, 5)
C' (-3, 2)
D' (1, 2)
Step-by-step explanation:
To reflect across the y-axis the original point (x, y) must become (-x, y) which is essentially taking the opposite of x
We can do that with each of the point of the rectangle ABCD to make the reflect rectangle A'B'C'D'
A (-1, 5) to A' (1, 5)
B (3, 5) to B' (-3, 5)
C (3, 2) to C' (-3, 2)
D (-1, 2) to D' (1, 2)
A carnival game is designed so that approximately 10% of players will win a large prize. If there is evidence that the percentage differs significantly from this target, then adjustments will be made to the game. To investigate, a random sample of 100 players is selected from the large population of all players. Of these players, 19 win a large prize. The question of interest is whether the data provide convincing evidence that the true proportion of players who win this game differs from 0. 10.
The power of this test to reject the null hypothesis if p = 0. 19 is 0. 79 using a significance level of α = 0. 5. What are two ways to increase the power of this test?
Increase the sample size and increase the significance level.
Decrease the sample size and decrease the significance level.
Decrease the sample size and leave the significance level as is.
Leave the sample size as is and decrease the significance level
The two ways which can be used to increase the power of this test is to: A. increase the sample size and increase the significance level.
What is power?In Statistics, power can be defined as the probability that a deviation from the null hypothesis would be detected by a test of significance, if such a deviation exist.
This ultimately implies that, the statistical power of a hypothesis test refers to the probability of correctly rejecting the null hypothesis provided it is false.
In this cenario, the two ways which can be used to increase the power of this test is by increasing the sample size and increasing the significance level.
Read more on null hypothesis here: https://brainly.com/question/14913351
#SPJ1
Answer: A
Step-by-step explanation:
edge
The functions it f and g are defined for all real values of x by f(x)=x^2+4ax+a^2 and g(x)=4x-2a where a is a positive constant. Given that fg(3)=69 find the value of a and hence find the value of x such that g^-1(x) =x
Answer:
Below in bold.
Step-by-step explanation:
We find fg(x) by replacing the x in f(x) by g(x), so:
fg(x) = (4x - 2a)^2 + 4a(4x - 2a) + a^2
fg(3) = 89 so:
(4(3) - 2a)^2 + 4a(4(3) - 2a) + a^2 = 69
(12 - 2a)^2 + 48a - 8a^2 + a^2 - 69 = 0
144 - 48a + 4a^2 + 48a - 8a^2 + a^2 - 69 = 0
-3a^2 + 75 = 0
-3a^2 = -75
a^2 = 25
a = 5.
Now g(x) = 4x - 2(5) = 4x - 10.
Finding g-1(x);
4x = g(x) + 10
x = (g(x) + 10)/4
So g-1(x) = (x + 10)/4
When g-1(x)= x
x = (x +10)/4
4x = x + 10
3x = 10
x = 10/3.
Which ordered pair is a solution to the system of linear equations? 2x 3y= 6 –3x 5y = 10 (0,2) (2,0) (3,2) (2,3)
An equation is formed of two equal expressions. The ordered pair which is the solution of the system of linear equations is (0,2).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation can be done in the following manner.
2x+3y=6
3x+5y=10
Let's take the first equation and find write it in terms of y. therefore, the first equation can be written as,
[tex]2x+3y=6\\\\2x=6-3y\\\\x = \dfrac{6-3y}{2}[/tex]
Now, substitute the value of x in the second equation,
[tex]3x+5y=10\\\\3(\dfrac{6-3y}{2})+5y=10\\\\18-9y +10y = 20\\\\-9y+10y=20-18\\\\y=2[/tex]
Thus, the value of y is 2. substituting the value of y in the first equation to get the value of x.
[tex]2x+3y=6\\\\2x+3(2)=6\\\\2x=6-6\\\\x=0[/tex]
Hence, the ordered pair which is the solution of the system of linear equations is (0,2).
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PLEASE HELP ME AGAIN (surface area)
Answer:
189
Step-by-step explanation:
9 x 9 is 81 for the square. for the triangles it is 9 x 6 divided by 2 which is 24. for all 4 we do 24 x 4 which gets 108. 108 + 81 = 189
Please help me if you know, I would appreciate if you could explain how to do this!
In the figure, the area of the shaded region is 299π cm²
What are the exact areas of the inner and outer circles?
Also, the answers need to be in cm^2
Answer:
See answers below
Step-by-step explanation:
Entire outer circle area = pi r^2 = pi 18^2 = 324 pi cm^2
if you subtract the small unshaded circle you get 299 pi
324 pi - smaller circle = 299 pi
smaller circle = 25 pi cm^2