Answer:
a < 9/20
Step-by-step explanation:
Our equation is the following: ax^2 + 3x + 5
a = unknown
b = 3
c = 5
We are concerned with the discriminant. Namely, b^2 - 4ac must be greater than 0 if we want to real roots
Lets plug in the values:
9 - 4a(5) > 0
9 - 20a > 0
9 > 20a
9/20 > a
a < 9/20
In a quadratic equation given as,
ax² + bx + c = 0
Discriminant of the equation → (b² - 4ac)
For the roots of the equation,
Roots will be real if (b² - 4ac > 0)Roots will be complex if (b² - 4ac < 0)Only one root if b² - 4ac = 0Given quadratic equation in the question is,
ax² + 3x + 5 = 0
Coefficient of x² = a
Coefficient of x = b = 3
Constant term = c = 5
If the roots of this equation are real,
b² - 4ac > 0
(3)² - 4a(5) > 0
9 - 20a > 0
20a < 9
a < [tex]\frac{9}{20}[/tex]
Therefore, for all values of 'a' less than [tex]\frac{9}{20}[/tex], equation will have two real roots.
Learn more,
https://brainly.com/question/9345928
Consider the following data set: {4, 5, 6, 7, 10}. If you remove one of the numbers from the list, then the mean increases and the median doesn’t change. Which number is it?
Answer:
6
Step-by-step explanation:
Right now, the mean is 6.4 and the median is 6. If you take away 6, the mean would be 6.5 and the median will stay the same. The median will stay the same because when there is no middle number, you add the two closest numbers and divide by two.
Hope it helped:)
Please help with this math problem
3x + 6 ≥ 24
Answer: 1X52=73
Step-by-step explanation:
Trigonometry math, help needed!!!
Find Q, R, and S. I think R is 123. I have provided a picture. Please put the right answer I would appreciate it.
Answer:
Step-by-step explanation:
Someone find x !!!!!!
Which statement is true about the prime polynomial 2x2 + 3x + 3?
ОО
It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.
Answer:
It cannot be modeled with a rectangle.
Step-by-step explanation:
The given expression 2x^2 + 3x +3 cannot be factored.
That means that it cannot be modeled with a rectangle.
So your answer is, It cannot be modeled with a rectangle.
Answer:
It cannot be modeled with a rectangle.
Step-by-step explanation:
Hope this helps
Graph the following systems of equations and determine the solution of the system .
Answer:
We can find the solution to a system of equations by graphing the equations. Let's do this with the following systems of equations:
someone plz answer this now
Answer:
x = 90°
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other, so
x = 90°
I NEED HELP ASAP PLS DONT GIVE RANDOM ANSWERS OR LINK I WILL GIVE YOU BRAINLIEST......... thanks :)
Answer:
D
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )
Here V = 226 and r = 12 ÷ 2 = 6 , then
[tex]\frac{1}{3}[/tex]π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )
3.14 × 36h = 678
113.04h = 678 ( divide both sides by 113.04 )
h = [tex]\frac{678}{113.04}[/tex] ≈ 6 m ( to the nearest metre )
PLS HELPPP !! BRAINLIEST!!
Each cube in this figure is a 1/2 -centimeter cube. What is the total volume of the prism?
A. 4 1/2cm3
B. 1 1/2cm3
C. 6cm3
D. 18cm3
PLEASE HELP ANSWER ME THIS!!!
Write a function for the indicated transformation.
the function y=5^(x-2) vertically stretched by the factor 3
the function y=7.2^x translated up 8 units
Answer:
ok mag lazada ka nalang te
What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?
Answer:
x = 0
Step-by-step explanation:
24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7
solve the brackets by using the distribute property:
1(3x - 9) = 3x - 9
-2(2x - 10) = -8x + 20
rewrite the equation:
24 - 3x - 9 - 6 = -8x + 20 + 5x + 7
combine like therms:
27 - 3x = -3x + 27
subtract 27 from both sides:
27 - 3x - 27 = -3x + 27 - 27
- 3x = -3x
add x to both sides of the equation:
-3x + 3x = -3x + 3x
x = x or 0 = 0
to check, substitute 0 for x
24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7
anything times 0 is 0
24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7
solve:
24 + 9 - 6 = 0 + 20 + 0 + 7
27 = 27
0f the 64 students in grade five, 3/8 of them either walk or ride a bike to school. The rest take a bus. How many fifth graders take a bus to school? *
A tennis ball is launched from a catapult from the ground with an initial velocity of 26fps. What is the maximum height of the ball? When will it attain this height? Use H=-16T2+26T
Answer:
10.5618feet, 0.8125sec
Step-by-step explanation:
Given the height reached by the catapult expressed by the equation H=-16T^2+26T
At the maximum height, the velocity of the object is zero, hence;
v = dh/dt = 0
-32t + 26 = 0
-32t = -26
t = 26/32
t = 0.8125secs
Hence it will attain the maximum height after 0.8125second
Substitute t = 0.8125s into the expression to get the maximum height
H=-16t^2+26t
H = -16(0.8125)^2 + 26(0.8125)
H = -16(0.6602) + 21.125
H = -10.5632+21.125
H = 10.5618
hence the maximum height reached by the ball is 10.5618feet
Pls help find area and perimeter for #1 I have limited time I put out another one but forgot to change the points so 65 points and BRAINLIEST if I figure out how to give it :)
Answer:
The first one perimeter is 111
Step-by-step explanation:
How to find the perimeter is too add all the numbers you see
11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7 x = 35
Answer:
7 x = -35
Step-by-step explanation:
Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.
- 7 x = negative 35
- 7 x = 35
7 x = negative 35
7 x = 35
In this problem we need to add the equations below i.e.
11x-3y = -17 and -4x+3y=-18
Adding both equations,
11x-3y+(-4x)+3y = -17+(-18)
7x= -35
or
7 x = negative 35
Hence, the correct option is (c).
Please I need help
I need the equation of the graph below
Answer:
0x 57=63
Step-by-step explanation:
20x - 16y + 32 plz help
Answer:
4(5x−4y+8)
Step-by-step explanation:
20x−16y+32
Factor out 4.
4(5x−4y+8)
Please help me out. I will be picking the brainiest Answer!!!
Answer: I think the answer is 63.
Step-by-step explanation:
Im sorry if im wrong.
Help pls it open ended soooo???????
Answer:
8, 9
Step-by-step explanation:
The answer is 8, and 9
72 = x*(x+1)
Lets factor out 72
1 x 72
2 x 36
3 x 24
4 x 18
....
8 x 9
8 and 9 are consecutive
PLEASE HELP ASAP njjjjdkkdjdjfjf
Answer:
Its 5 over 8
5/8
Step-by-step explanation:
The base of a 14-foot ladder is 2 feet from a building. If the ladder reaches the flat roof , how tall is the building
Answer:
Step-by-step explanation:
The height of the building is 8 rad 3
Approximately 13.9 ft
A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole, as shown below. A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate. What are the individuals in this data set? holes yards bunkers difficulty levels
Answer:
Holes got it right :)
Step-by-step explanation:
Answer
difficulty levels
Step-by-step explanation:
took the test
sorry different question
6x-18=51 solve for x
Answer:
11.5
Step-by-step explanation:
add 18 to both sides
divide by 6
whats the mode of $6.00 $6.00 $6.00 $6.00 $5.00 $7.00 $4.00 $7.00
Answer:
4.00,5.00,6.00,6.00,6.00,6.00,7.00,7.00
Step-by-step explanation:
Mean 5.875
Median 6
Mode 6.00
help with #2 pls!!!!!!!!!
Answer:
Third choice
Step-by-step explanation:
Let's see, let's write the numbers in order.
-6,-2,1,1,4,4,14
So we can see that yes, indeed, it could be either -6 or 14.
We can also rule out the first choice and the last choice, because they lack in common sense. -6, being lesser, would not raise the mean, it would lower it. 14, being the greatest, would not lower the mean, it would raise it.
Now let's put our numbers through trial. Find the mean of the whole set.
-6+-2+1+1+4+4+14 = 16
16/7
16/7 is approximately 2.3. We round to the nearest tenth because the numbers in the answers (1.9) are rounded to the nearest tenth.
Now we will exclude 14 to see how much it changes.
-6+-2+1+1+4+4 = 2
2/6 = 1/3
1/3 is approximately 0.3. We can see that the mean has decreased by around 2 just from removing the 14.
Now let's exclude -6 and see how much it changes.
-2+1+1+4+4+14 = 22
22/6 is approximately 3.7. We can see that the mean has increased by around 1.4.
Both the second and the third choice are plausible, but we are looking for the outlier, meaning the one that is further away from the rest of the numbers. The mean decreased by around 2 (which is near 1.9) when 14 is removed, which is greater than 1.4 (or 1), so we can assume that the third choice is the answer.
We can also back this up by finding how much each number is close to the mean. -6 is closer to 2.3 than 14, because if you add 6 to 2.3 (to get the distance between them), it is 8.3, while if you subtract 14 by 2.3, you get 11.7, which is greater than 8.3
Another way to double check this is to see how far away the numbers are from the rest of the numbers. This is not a very accurate way, but it can be useful in double checking. -6 and -2 are only 4 units apart, while 4 and 14 are 10 units apart. 10>4, naturally.
Simplify the expression. Enter the answer in the box.
2
3- +
-7
2
= 3+(-7)+ +
5
=
Answer:
-19/5
Step-by-step explanation:
3-7+2/5-1/5
⇒-4+1/5
⇒-20+1/5
answer⇒-19/5
hope it helps
Please help me!!!! I will give brainliest!
Hey there!
The correct answer is 40 customers.
To solve this we can set up the following equation:
36 = .9x
(How I like to remember this is "36 = 90% of what")
Now, we solve. Divide both sides by .9:
40 = x
Have a terrificly amazing day! :D
The radius of a circle is 6 meters. What is the area of a sector bounded by a 150 arc
Answer:
47.14 m²
Step-by-step explanation:
Recall that the central angle of a full circle is 2π radians or 360°. The area of the sector bounded by a 150° arc is the fraction
150°
------- times the area of the full circle (πr²):
360°
(15/36)π(6m)² = 0.417(3.14)(36 m² = 47.14 m²
Which of the following is the reference angle for an angle that measures 222 degrees ?
1.22
2.48
3.64
4.42
Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 3 inches. How much paper will she use?
Answer: [tex]282\ in.^2[/tex]
Step-by-step explanation:
Given
dimension of box are
[tex]h=22\ in.\\[/tex]
Square base length is [tex]l=3\ in.[/tex]
[tex]\therefore w=3\ in.[/tex]
The surface area of a rectangular prism is
[tex]S.A.=2[lb+bh+hl][/tex]
The paper area must be equal to the surface area of the prism
[tex]S.A.=2[22\times 3+3\times3 +3\times 22]\\S.A.=2\times 141=282\ in.^2[/tex]
