Given:
The quadratic equation is:
[tex]6x^2-x-2=0[/tex]
To find:
The nature of the solutions by using the discriminant.
Solution:
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then its discriminant is:
[tex]D=b^2-4ac[/tex]
If D<0, then both roots are complex.
If D=0, then both roots are real and equal.
If D>0, then both roots are real and distinct.
We have,
[tex]6x^2-x-2=0[/tex]
Here, [tex]a=6,b=-1,c=-2[/tex]. So, the value of the discriminant is:
[tex]D=(-1)^2-4(6)(-2)[/tex]
[tex]D=1+48[/tex]
[tex]D=49[/tex]
Since [tex]D>0[/tex], then both roots are real and distinct.
Hence, the discriminant of the given quadratic equation is 49 and both roots are real and distinct.
plss help me:((((((((
Answer:HI cant really see
Step-by-step explanation:
Find the value of f(9)
Answer:
The answer is -2.
Step-by-step explanation:
Hope this helps dear ;)
Good luck ^^
best describes her chances of rolling 12 in one try?
A certain
D Impossible
B likely
e unlikely
*29. a. Multiple Choice which of these Venn diagrama illustrates the
relationship between squares () and rhombuses (R)?
A
D
R
Explain Explain your answer for part a.
90. The
GIVING BRAINIEST
Select the expression that represents the following statement: 45 divided by one fifth the product of 3 and 5. (4 points)
Group of answer choices
45 ÷ (3 x 5 x one fifth )
(45 ÷ one fifth ) x 3 − 5
45 ÷ ( one fifth x 3 + 5)
45 − one fifth x 3 x 5
Answer:
The Answer is C
Find the area of the trapezoid
the area of the trapezoid is 70 in (D)
Look, this is what it shows
Answer:
This is very similar to what we are proving if you just change the angles.
Tyler pays $22.10 for 2.6 pounds of chocolate covered cherries. What is the price per pound of the chocolate covered cherries?
Answer:
$8.50
Step-by-step explanation:
[tex]\frac{y}{22.10} =\frac{1}{2.6}[/tex]
2.6 × y = 22.1 × 1
2.6y = 22.1
2.6y ÷ 2.6 = 22.1 ÷ 2.6
y = 8.5
Answer: 8.50
Step-by-step explanation: 8.50
Step-by-step explanation:
Divide $22.10 over 2.6 pounds of covered cherries
Rocky, a baby puppy, gained 120 grams of weight in 1/3 of a month. If Rocky kept growing at this rate, how much weight would he gain in 1 month?
Answer:
360 grams
Step-by-step explanation:
120 x 3 = 360
will y=2 (x-3)²-7 make a parabola or a circle
Answer:
Parabola
Step-by-step explanation:
Answer:
HEY BABY
Step-by-step explanation:
hi guys this one is one whole question it just couldent fit please help
Answer:
Pentagon and rhombus
Step-by-step explanation:
Answer please
20 points
Answer:
1. right 2. acute 3 acute 4. obtruseangle 5 right
Answer:
1. right 2. acute 3. acute 4. obtuse 5. right
Step-by-step explanation:
Sarah downloaded two apps which were 7.48 kb total. If one app was 4.78 kb, how big was the other app?
Answer:
2.7 kb
Step-by-step explanation:
Total kb = 7.48
Total apps = 2
one app = 4.78
another app = x
> 4.78 + x = 7.48
x = 7.48 – 4.78
= 2.7 kb
I need the Area and Perimeter.
Answer:
540
Step-by-step explanation:
Answer:
The perimiter is 22. Just add the L+W
Step-by-step explanation:
L+W (length + width is how you find perimiter. in this question just add 10+12 and you get 22. I cant help with the area though
Park visitors
100
150
200
250
300
350
1) What was the range of the number of park visitors each day?
visitors
Submit
Answer:
The answer is 225
Step-by-step explanation:
Because you first need to subtract 350-125 and you get 225
what function represents the same relationship
I know it's not C though
the question is on the picture
Answer:
C
Step-by-step explanation:
Just did it
multiply 4/7 x 5/6 as a fraction in simplest form
Answer:
10/21
Step-by-step explanation:
5/6 x 4/7 = 20/42 as simplified as 10/21 in fraction form.
Hope this helps!
-DizzyImDizzy <3
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The multiplication of 4/7 x 5/6 as a fraction in the simplest form is 10/21.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The multiplication of the two fractions 4/7 and 5/6 can be done as,
4/7 × 5/6
Multiply the numerator and the denominator of the two fractions
= (4×5)/(7×6)
= 20/42
Dividing both the numerator and the denominator by 2 to simplify,
= 10/21
Hence, the multiplication of 4/7 x 5/6 as a fraction in the simplest form is 10/21.
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ2
A bag contains to White blocks and one red block and 3 purple blocks what is the sample space of picking a block from the bag
Answer:
1/36
Step-by-step explanation:
Probability is the likelihood of chance that an event will occur. Mathematically,
Probability = expected outcome/total outcome
If a bag contains two white blocks, one red block and 3 purple block
Total outcome = 2+1+3= 6
Probability that white ball is selected = 2/6
Probability that red ball is selected = 1/6
Probability that white ball is selected = 3/6
Probability of picking a ball is 2/6 × 1/6 × 3/6
Probability of picking a ball = 6/216
Probability of picking a ball = 1/36
What is the slope of the line that passes through the points (26, 7) and (-39, 12)?
Answer:
A, -1/13
Step-by-step explanation:
slope = rise / run
(12-7)/(39-12)
5/-65
simplify: 1/-13
3x - 2x + 1 = 8
How do I solve this
Answer:
x = 7
Step-by-step explanation:
3x - 2x + 1 = 8
x + 1 = 8
*subtract 1 from both sides
x = 7
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Combina los términos semejantes
[tex]3x-2x+1=8\\x+1=8[/tex]
Resta 1 de ambos lados de la ecuación
[tex]x+1-1=8-1\\[/tex]
Simplifica y resta los números
[tex]x=7[/tex]
The number of bacteria, B, present in a culture after t minutes is given as B = 10ekt. If there are 3778 bacteria present after 7 minutes, find k.
HELPPP ASAP 10 POINTS
Answer:
circumference = 25.43 in
Step-by-step explanation:
circumference = πd
circumference = (3.14)(8.1) = 25.43 in
find y=0... this x intercept is zero
since this is way easier here are just the rest of the questions. please write them all in slope-intercept form. 11. -3x + 2y = -4 | 12. x + 3y = 9 | 13. 3x - 5y = 20 | 14. 3x - y = 1 | 15. 5x + 4y = 0| good night i hope you guys sleep well!
11. y=(3/2)x-2
12. y=x+3
13. y=(3/5)x-4
14. y=3x-1
15. y=(5/4)x
im not 100% sure on 14 but the rest of them should b right :)
Venell put together a model train with 25 train cars. Each train car is 80 millimeters long. How many meters long is Venell's model train if there are no gaps between cars?
Answer:
2 meters
Step-by-step explanation:
its not hard
Write the phrase as an expression. Then evaluate the expression when y = 12. the difference of a number y and 9 The expression is The value of the expression is
Answer:
12-9 i think
Step-by-step explanation:
Because it says the difference if a number y and 9. If y equals 12 then shouldn't it be 12-9?
James has $10 in 5-cent and 10-cent coins in his change jar and counts 157 coins in total. How many 10-cent coins does he have?
Show working out!!
Answer:
10 cent coins = 43
Step-by-step explanation:
x = 10 cent coins
y = 5 cent coins
x + y = 157, then y = 157 - x
$10 = 1000 cents
0.10x + 0.05y =1000
substitute for y:
0.10x + 0.05(157 - x) = 1000
0.10x + 7.85 - 0.05x = 1000
combine like terms:
0.05x = 2.15
x = 43
y = 114
The legend on a map states that 1 cm is 25 km. If you measure 8 cm on the map, how many kilometers would the actual distance be? Actual distance = [? ] km
Answer:
200km
Step-by-step explanation:
Given
1cm = 25 km 8cm =?
Solve
if 1cm = 25,
then multiply 8 cm by 25.
Which is 200 km
I need help on this question please
Answer:
D
Step-by-step explanation:
Suppose jamal fell during one race and recorded a time of 210s. Which of the mean, median, and mode would be most affected
Answer:
Mean would be most affected
Step-by-step explanation:
The mean is defined as the average value . If the data has extreme values then the average value automatically changes.
The median is the value which divides the data in to two halves. It is not affected by the extreme values. The middle value remains the same.
The mode is the value which occurs repeatedly. An extreme value in a data does not affect the mode.
For example I have 5 chocolate bars of sizes 5,6,7,7,9 and another 5 chocolate bars of sizes 5,6,7,7,12
Mean for the two sizes will be 34/5= 6.8 and 37/5=7.4
The median and mode in both sets is 7
So the mean is most affected with change in value.