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.
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Mary Beth has a ribbon that is 15 cm long. Alicia has a ribbon that is 9 cm long. How many centimeters of ribbon do they have?
Answer:
24cm
Step-by-step explanation:
The ribbons they both have can be found by adding 15 to 9
15 + 9 = 24cm
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Answer:
The acceleration of golf ball will be greater than the bowling ball.
Step-by-step explanation:
As the golf ball is light thing that will travel far but the bowling ball is heavier than the golf ball.So the acceleration of the golf ball will be more.
How does f(x) = 10% change over the interval from x = 5 to x = 6?
Answer:
f(x) increases by 900% I believe
Step-by-step explanation:
Answer:
increase 900%.....................
Jasmine has twice as much money as Madison. Madison has $6 less than Devanie. Together they have $54. How much money does Madison have?
Answer:
madision be $12
Jasmine be $24
And, the devanie be $18
Step-by-step explanation:
The computation is shown below:
Madison be x
Jasmine be 2x
Devanie be x + 6
And, the total is $54
Now the equation is
x + 2x + x + 6 = $54
4x = $48
x = $12
So madision be $12
Jasmine be $24
And, the devanie be $18
5 red marbles
6 blue marbles
3 green marbles
4 black marbles
2 yellow marbles
A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
Answer:
green= 3/20. black =4/20 or 1/5
Step-by-step explanation:
green = 3
black = 4
total = 20
green = 3/4
black = 4/20 = 1/5
The sum of interior angles of a regular polygon is 24 times the size of exterior angle. Find number of sides of the polygon
Answer:
n = 50
Step-by-step explanation:
The sum of interior angles of a regular polygon is 24 times the size of exterior angle. Find number of sides of the polygon
let the sum of exterior be e
Let the sum of interior be i
IF the sum of interior angles of a regular polygon is 24 times the size of exterior angle, then;
i = 24e
Also sum of exterior angle = 360/n
i + e = 180
24e + e = 180
25e = 180
e = 180/25
e = 7.2
since sum of exterior angle = 360/n
7.2 = 360/n
n = 360/7.2
n = 50
The number of sides is 50
Help!! I have 55 seconds to do this
Answer:
the answer is A
Step-by-step explanation:
78 is acute angle because it is less than 90 degrees. A is an acute angle so thats the answer
What is the total surface area?? PLEASE HELP ME
Answer:
Did I see this quesiton before..?
Step-by-step explanation:
What is the surface area of the image below?
PLZ HELP I WILL MAKE YOU FAMOUS ON BRAINLY AND GIVE U BRAINLST BUT ONLY IF UR CORRECT
Answer:
PEMDAS
Step-by-step explanation:
Just to pemdas and then you will get your answer! Parenthesis, exponents, Multiplication, Division, Addition, Subtraction
PEMDAS! :)
what % of 25 = 5
Please hurry
5 is what percent of 25? = 20
I WILL GIVE BRAINLIEST!!!
Determine the slope (8grade
Answer: 1/2
Step-by-step explanation: I believe the answer is 1/2 because for (2,-6) and (4,-7) the rise over run is 1/2. I don't know though
6. In a basketball game, Anton made 5 shots in 7 tries. What is the ratio of the
number of tries to the number of shots he missed?
A. 7:2
B. 7:5
C. 5:7
D. 5:2
Answer:
A 7:2
Step-by-step explanation:
pls help reward brainliestt
formula for axis of symmetry is
-b/2a
so
-(-6)/2
= 6/2
= 3
x = 3
Hannah is n years old.
Her aunt Emily is three times older than Hannah.
Emily is 48 years old.
(a) Write down an equation for this information.
(b) Solve your equation to find how old Hannah is.
Answer:
(this is easy)
n x 3 = 48
48/3 = n
n= 16
Hannah is 16 years old.
Step-by-step explanation:
Mrs. Edgar bought an eight pack of bottled water for $4.00. What was the unit
price for the water?
Which number is irrational?
Answer: The square root of 81/49 is the answer
Step-by-step explanation:
how do I solve for x for number 4
Answer: 20.8
Step-by-step explanation:
Since it is an equilateral triangle, we know the bottom is also 24. We also know that line E is bisecting the base. So using the smaller right triangle we know that the hypotenuse is 24 and one leg is 12. So use the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\12^{2} +b^{2} =24^{2} \\144+b^{2} =576\\b^{2} = 432\\b= 20.8[/tex]
I need help!! 100 points! Please don't scam, I will report and take away these points!
Answer:
A angle 7 is 6 inches
B angle 8 is 7 inches and 5 inches wide
C angle 3 is an obtuse angle, 6 inches and 9 inches wide
Which of the following is the surface area of the right cylinder below?
A. 204units2
B. 480 units2
C. 408 units2
D. 240ft units2
SIIRMIT
Answer:
There is no photo all I can say is to re ask this question so that we are able to see a photo.
Step-by-step explanation:
9. The volume of a triangular prism is 30 cm. Each triangular face has an area of 4 cm. How long is the prism?
Answer:
12
Step-by-step explanation:
The required length of the triangular prism is given as 15 centimeters.
Given that,
The volume of a triangular prism is 30 cm. Each triangular face has an area of 4 cm, how long the prism is to be determined.
Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The volume of the triangular prism = 1 / 2[area of face] × length
30 = 1/2 [4] × length
length = 15 cm
Thus, the required length of the triangular prism is given as 15 centimeters.
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If you pay the minimum payment of $150/month on your $10,000 debt how long will take you to pay off the debt?
Answer: 5.5 years
Step-by-step explanation:
Answer:
5.55 years or 66.67 months.
Step-by-step explanation:
5.55 years assuming that you are not factoring in interest rates
10000/150 is 66.67 months
divided by 12 months to a year gives you 5.55 years
help xxxxxxxxxxxxxxx
Use the Distributive Property to simplify the expression. 5(x - 1)
Answer:
5x - 5
Step-by-step explanation:
Answer:
[tex]\bold{5x-5}[/tex]
Step-by-step explanation:
Hi there!
The Distributive property states that
[tex]\bold{a(b+c)=ab+ac}[/tex]
So, we take a number a, multiply it by b and c, and then add the products.
Now, let's solve the given math problem:
[tex]\bold{5(x-1)}[/tex]
[tex]\bold{5x-5}[/tex]
Hope it helps! Enjoy your day!
~Just a teen willing to help others
[tex]\bold{-Besties4Ever:-):-):-):-):-):-)}[/tex]
Number 4 5 6 7 pls help!!!!!
Answer:
Here ya go!
Step-by-step explanation:
(look at picture below
What is the volume of a sphere with a radius of 6.1 m, rounded to the nearest tenth of a cubic meter?
Answer:
V≈950.78m³
Step-by-step explanation:
Determine the center and radius of the following circle equation:
x2 + y2 + 14x – 12y + 69 = 0
Center:
Radius:
Type here to search
CE
Help me?
Answer: Center: (-7,6)
Radius: 4
Ke'Andre joined the swim team. His high dive jump is modeled by the following equation: f(x) = -16x2 + 24x +6.
How high up is the diving board? Enter the numeric answer without a label.
please help
Answer:
6
Step-by-step explanation:
Plz telll me someoneeee
Step-by-step explanation:
part 1
Area =2L×2B
2(9in) ×2(6in)
18in×12in
=216in²
Part 2
Area of a triangle =½×base ×height
½×9in×14in
=63cm²