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.
Write the expression of the quotient of 44 and 11
45 minutes ago
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Background
Layout
Theme
Transition
4.
P:
Caleb invests $10,000 in a savings
account that pays 3% simple interest.
How many years will it take the account
to grow to $12,700, if he does not make
any withdrawals or deposits?
A 7 years
B 12 years
C 9 years
22 years
r:
t:
D
k to add speaker notes
Answer:
876889068
Step-by-step explanation:
4x + 21 < 17
PLS HELP ME MATES <3
Answer:
x < -1
Step-by-step explanation:
Give Brainllest plz mate
Answer:
x < -1
Step-by-step explanation:
subtract 21 from 17
divide on both sides by 4
sorry if this isn't what you're asking
A man collected data on his weight loss while on a diet. He modeled the equation y = 295 - 5x for the line of best fit. The
independent variable, x, is time in weeks and the dependent variable, y, is weight in pounds. What does the slope mean in this
context?
A)
The man lost 5 additional pounds each week.
B)
The man lost a total of 5 pounds while on his diet.
The man weighed 295 pounds at the start of his diet.
D)
The man lost a total of 295 pounds while on his diet.
Answer:
Correct Answer would be C
Step-by-step explanation:
Translate to figure 2 units left and four units down
Beth filled 64 bottles of water. If each bottle holds 1 pint of paint, how many gallons of water does Beth have?
Answer:
8 gallons
Step-by-step explanation:
To answer this question :
convert pint to gallons multiply the value gotten in the above step by the total number of bottles1 PINT = 0.125 Gallons
1 x 0.125 = 0.125
total gallons of water = 64 x 0.125 = 8 gallons
The sum of the ages of my 3 children is 45 years.
If their ages are consecutive odd integers,
how many years old is my oldest child?
A) 17
B)19
C) 21
D) 23
HELPP ME PLEASEEE!!!
don’t put those link/file things it gives me ur info and i can hack;)
Answer:
2 x ( -4 ) = -8
Step-by-step explanation:
2 x 4 = 8
a negative x a positive = negative
so therefore the answer is -8
Jenny sells two types of lanyards, solid color or
striped. She charges more for striped lanyards than
for solid color lanyards. The amount of money, in
dollars, that she collects from selling x lanyards of
one type and y lanyards of the other type can be
modeled by the expression 3x + 5y.
What does the variable y represent in this
situation?
A. The number of solid color lanyards sold.
B. The number of striped lanyards sold.
C. The selling price of one solid color lanyard.
D. The selling price of one striped lanyard.
Answer: The answer is B. The number of striped landyards sold.
Step-by-step explanation:
Willy's Candy store and Bill's Candy store attended same number of customers in an hour.
Willy's Candy store can attend 3 customers at once where as Bill's Candy store can attend 5 customers at once. So, what is the minimum number of customers attended by each store in an hour?
Answer:
15 customers attended by each store
The image of the point (2, -3) under a translation is (-1, 1). Find the coordinates of the image of the point (5, 6) under the same translation.
Answer:
the anser is b great job
Step-by-step explanation:
The ratio of melanie's allowance to jacob's allowance is 4.1 to 20.5. If Jacob gets $5.00,how much allowance does melanie get?
Answer:
1.00
Step-by-step explanation:
x=(5*4.1)20.5
x=1
I really need help on this question, because I forgot of how to find the angle of each variable.
Answer:
a = 38 degree
b = 54 degree
c = 54 degree
Step-by-step explanation:
a = 180 - 142 = 38 ( angle on a straight line is equal to 180)
To determine the value of b, we have to find the other missing angle in the triangle.
the value of the missing angle is 38
Alternate angles are equal. the missing angle is alternate to angle b which has a value of 38
b = 180 - (38 + 88) = 54
c = 54
x^2-4x+6x-24 factored
Answer: (X+6)(x-4)
Step-by-step explanation:
x^2-4x+6x-24 ==> x^2+2x-24
*Find two numbers that multiplied gives you -24 and add up to 2*
(6)(-4)= -24 6-4=2
Final result= (x+6)(x-4)
please answer the math question, I will give brainlie'st to the first to answer correctly and has a very easy to understand layout for the answer. Please explain how you figured it out.
15 + 4(10 - 2 · 5) + 7 =
7
22
182
767
Answer: 52
15 + 4 (10 - 2 × 5) + 7
15 + 4×(10 - 10) + 7
15 + 0 + 7
= 22
...sorry i thought it was a decimal between 2 and 5
Answer:
22
Step-by-step explanation:
15+4(10-2×5)+7
15+4(10-10)+7
15+4×0+7
15+0+7
15+7
22
A 4 pound force acting in the direction of (4,-2) moves an object just over 7 ft from point (0,4) to point (5,-1). Find the work done to move the object to the nearest foot-pound
Answer:
[tex]W=59.7408J[/tex]
Step-by-step explanation:
From the question we are told that:
Force [tex]f=4N[/tex]
Force Direction [tex]\arrow (4,-2)[/tex]
Distance traveled [tex]d_t=7ft \aprrox\ 2.1336m[/tex]
Distance traveled Direction point (0,4) to point (5,-1)
Generally the equation for work done is mathematically given by
[tex]W=force*distance[/tex]
[tex]W=f*d_t\\W=4*7*2.1336[/tex]
[tex]W=59.7408J[/tex]
Whats the slope using Rise/Run?
Thanks
Answer: 1/4
Step-by-step explanation: Use (y2-y1)/(x2-x1) to find slope. The points are (-1, 1) and (-5, 0). (0 - 1)/(-5+1)= -1/-4 = 1/4
Hope this helps!
А
E E
С
D
B
If mZACD = 100°, then mZACE = [?]°
Answer:
80 degrees
Step-by-step explanation:
a line is always 180 degrees
one side of that line is 100
so, just subtract 100 from 180
you get 80
180 - 100 = 80
Javed downloaded from the Internet two files that had a combined size of 696 megabytes. The size of the first file was 290 megabytes, and it took 5 minutes to download. Assuming that the files downloaded at a constant speed, how long did it take for the second file to download?
Answer:
7 minutes
Step-by-step explanation:
The computation of the time taken for downloading the second file is given below:
Given that
The combined size for both files is 696 megabyres
And, the size of the first file is 290 megabytes
So, the size of the second file is
= 696 - 290
= 406
Now for the first file it took 5 minutes to download
So for the second file, it would took
= 406 × 5 minutes ÷ 290
= 7 minutes
Answer:
7 minutes
Step-by-step explanation:
The computation of the time taken for downloading the second file is given below:
Given that
The combined size for both files is 696 megabyres
And, the size of the first file is 290 megabytes
So, the size of the second file is
= 696 - 290
= 406
Now for the first file it took 5 minutes to download
So for the second file, it would took
= 406 × 5 minutes ÷ 290
= 7 minutes
PLEASE HELP FAST!!!
find the equation of the line that is perpendicular to this line and passes through the point (-7, 6)
find the equation of the line that is parallel to this line and passes through the point (-7, 6)
Answer:
-7.6
Step-by-step explanation:
Scuba diver dives at a rate of 20 ft./min. If the diver starts at the surface what is the depth of the diver after 4 minute
Answer:
80 ft
Step-by-step explanation:
Distance = rate x time. Therefore, 20 ft / min x 4 min = 80 ft.
Harper is working two summer jobs, making $19 per hour lifeguarding and making $8 per hour walking dogs. In a given week, she can work at most 7 total hours and must earn a minimum of $80. If x x represents the number of hours lifeguarding and y y represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
We know that:
She makes $19 per hour of lifeguarding.
She makes $8 per hour walking dogs.
She can work at most 7 hours per week.
She must earn a minimum of $80 per week.
If x represents the number of hours lifeguarding and y represents the number of hours walking dogs, the inequalities will be:
x + y ≥ 7 hours.
(this says that she can work at most 7 hours per week)
x*$19 + y*$8 ≥ $80
(this says that she can earn a minimum of $80)
Then the system of inequalities is:
x + y ≥ 7 hours.
x*$19 + y*$8 ≥ $80
To graph these two we can write them as lines in standard form and simply graph both inequalities, the solution of the system will be the intersection between the solutions of each inequality.
Here we also should add the inequalities:
x ≥ 0
y ≥ 0
So we only look at the first quadrant.
The graph can be seen in the image below: (the dark blue is the solution region for the first inequality, the light blue one is the solution region for the second inequality)
One possible solution can be:
x = 4 and y = 1
or
x = 4 and y = 2
and there are a lot of other possible solutions.
Answer:
Step-by-step explanation:
You place four orders for 50 tennis rackets which cost $65 per racket you receive all 200 rackets there is a delivery charge of $15 per order what is your average cost per racket including delivery charges
Answer:
65.30
Step-by-step explanation:
1. 50x4=200
2. 200x65=13,000
3. 13,000 + (15x4)
4. 15 x 4 = 60
5. 13,000 + 60
6. 13,060/200 = 65.3
Your average cost per racket including delivery charges is $65.30.
First step is to calculate the cost of 200 rackets
Cost of 200 rackets= 200 ×$65
Cost of 200 rackets= $13,000
Second step is to calculate the total delivery fee
Total Delivery fee= 15 × 4
Total Delivery fee=$60
Third step is to calculate the total cost including delivery cost
Total cost including delivery cost=$13,000 + $60
Total cost including delivery cos = $13,060
Fourth step is to calculate the Average cost
Average cost per rackets=$13,060/200
Average cost per rackets=$65.30
Inconclusion the average cost per racket including delivery charges is $65.30.
Learn more here:
https://brainly.com/question/11502325
Please help ASAP thanks:)!!!!!
Answer:
I think its
Step-by-step explanation:
left second one
How many times greater is the value of the 6 in 618,923 than the 6 in 27.652
The value of 6 in 618,923 is 1,000,000 or 1 million times greater than that of 6 in 27.652.
What is Place Value?Place value of a digit in a number is defined as the value of that digit according to the position where it stands.
Place value of a whole number of digits from right to left can be expressed as ones, tens, hundreds, thousand, etc.
Place value of a decimal number after the decimal point from left to right can be expressed as tenths, hundredths, thousandths, etc.
The given numbers are 618,923 and 27.652.
Place value of 6 in 618,923 = 6 × 100,000
That is 6 hundred thousands is the place value.
Place value of 6 in 27.652 = 6 × 1/10 = 6 × 10⁻¹
This is at the tenth place.
6 × 100,000 = 6 × 10⁻¹ × 1,000,000
So 6 × 100,000 is 1,000,000 times greater than 6 × 10⁻¹.
Hence the value of 6 in 618,923 is 1,000,000 times greater than the 6 in 27.652.
Learn more about Place Values here :
https://brainly.com/question/27734142
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Pete needs weight exactly 250 grams of sugar which method could Pete use to most accurately weight the sugar
Answer:
Well a scale or a food scale.
Step-by-step explanation:
Unless theres other options, a small Cale would work just fine
CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! plzzzzzz help
Answer: the distance from x axis is 4
Step-by-step explanation:
the y coordinate is 2 the x axis is on the bottom and 2 units for each number so 4 units
Answer:
Since e on the y-axis is 2, e on the x-axis would be 2 if you look at its distance from the x-axis because you have to look at the intersect
Step-by-step explanation:
Please help.
Show work
Answer:
6 or A
Step-by-step explanation:
Let's say n is equal to f(x). So "n is equal to g(x) and g(x) is equal to 3c + f(x) - 15 so when
n = 9 and c = 4 when I substitute I get 3(4) + (9) - 15 = 12 + 9 -15 = 21 - 15 = 6
Figure 1 is dilated to get Figure 2.
What is the scale factor?
Answer:
2/3
Step-by-step explanation:
6/9 in simplest form is 2/3. That's the scale factor :)
27 MP3s is what percent of 238 MP3s
Answer:
27/238 = n/100
Step-by-step explanation:
