Answers
Answer:
[tex]x=\frac{7\pm\sqrt{61} }{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
3p² - 7p - 1 = 0
Step 2: Identify Variables
a = 3
b = -7
c = -1
Step 3: Find roots
Substitute [Quad Formula]: [tex]x=\frac{7\pm\sqrt{(-7)^2-4(3)(-1)} }{2(3)}[/tex]Evaluate Exponents: [tex]x=\frac{7\pm\sqrt{49-4(3)(-1)} }{2(3)}[/tex]Multiply: [tex]x=\frac{7\pm\sqrt{49+12} }{6}[/tex]Add: [tex]x=\frac{7\pm\sqrt{61} }{6}[/tex]Answer:
x = 7 + √61 ÷ 6
Step-by-step explanation:
3p² - 7p - 1 = 0 is a given equation
3p² - 7p - 1 = 0
Here,
a = 3
b = - 7
c = - 1
Now, Discriminant
D = b² - 4ac
= (- 7)² - 4 (3)(- 1)
= 49 + 12
D = 61 > 0
So, Quadratic Equation
ax² + bx + c = 0
x = - b ± √b² - 4ac ÷ 2a
x = - (- 7) ± √(- 7)² - 4 (3)(- 1) ÷ 2(3)
x = 7 ± √61 ÷ 6
x = 7 ± √61 ÷ 6
x = 7 + √61 ÷ 6 or x = 7 - √61 ÷ 6
∴ Not real Value
Thus, The real value of x is 7 + √61 ÷ 6
-TheUnknownScientist
Related Questions
if a person is selected at random from this group of 1,000 people, determine the probability that he or she does not wear eyeglasses while driving even though he or she needs to wear it.
Answers
The probability is 7/5.
A person is randomly selected from a group of 1000 people.
We have,
440 people use glasses and must wear them.
20 wear glasses but are not required to do so.
140 people who should wear glasses but don't
400 if you don't need to wear glasses, don't wear them.
Therefore, the probability that the person does not wear glasses while driving even though he or she needs to wear them is:
P ( he or she does not wear glasses and needs to wear them / Total number of people surveyed ) = 140 / 100
P = 14 / 10
P = 7 / 5
The probability that he or she drives without wearing eyeglasses despite the fact that they are required is 7 in 5.
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Divide -1/6 divided -2/9
Answers
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator, leaving the negative sign on the numerator, and changing the operation to multiplication. Then the equation becomes
For fraction multiplication, multiply the numerators and then multiply the denominators to get
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 9 and 12 using
Answer:
Fraction Form:[tex]\frac{3}{4}[/tex] ///// Decimal Form: 0.75
Step-by-step explanation:
Reduce the expression,if possible,by reducing the common factors.
Can some one help please i just need an correct anwsers
Answers
Answer:
the last one 5/25
Step-by-step explanation:
Julio says, " If you subtract 19 from my number and multiply the difference by - 4, the result is - 72." What is julios Number?
Answers
Answer:
37
Step-by-step explanation:
If you do the reverse equation, that is -72 divided by -4 which gives you 18. Then you add 19 to that 18 and you get 37.
Answer:
the answer is 37
Step-by-step explanation:
37 - 19 = 18
18 x -4 = -72
Rosemary had $25 to spend on school supplies she buys four packages of mechanical pencils. After her trip to the store, she only has $1 left. How much should each pack of pencils cost?
Answers
Answer: Each pack of pencils cost $6.
Step-by-step explanation: Rosemary had $25 and was left with $1, so she spent $24 in total for four packages, therefore, you can divide $24 into 4 to find out the individual cost, which is $6.
Answer:
6 dollars each
Step-by-step explanation:
25-1= 24 and 24÷4= 6
Which of the following inequalities matches the graph?
Answers
an open box of maximum volume is to be made from a square piece of material, 26 centimeters on a side,
Answers
Domain of the function is: 0 < x < 12.
Volume of the box = 4x(12-x)²cm^3
Volume of a cuboid:Volume is the measure of how much space a given substance takes up inside a closed, three-dimensional object. A cuboid's volume given by its length (l), breadth (b), and height (h) is as follows:
According to the given data:Side of square = 24cm
(a) Volume of the box
Let the squares used to create a box have a side of "x" cm.
so,
length will be = 2(12 - x)
Width will be = 2(12 - x)
Hight will be = x
Volume of the Square box (V) = l x b x h
= 2(12 - x) * 2(12 - x) * (x)
= 4x(12-x)²cm^3
(b) The domain of the function V(x)
We see that:
x is length, x >0
x cm of the side's length of 24 cm are removed from both ends.
so that 2x<24
Domain of the function is: 0 < x < 12.
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I understand that the question you are looking for is:
An open box of maximum volume is to be made from a square piece of material, 24 centimeters on a side, by cutting equal squares from the corners and folding up the sides.
If V is the volume in cubic centimeters and x is the height of the box in centimeters, find V in terms of x. Determine the domain of the above function
HELP DUE IN 20 MINS!!!!!!
Answers
Answer:
10 miles
Step-by-step explanation:
Set up a proportion: [tex]\frac{15}{1.5} = \frac{x}{1}[/tex] Cross multiply, then divide: 15 × 1 = 15, 15 ÷ 1.5 = 10So, Jessica can run 10 miles in 1 hourI hope this helps!
Math rotation question !! Help me out!
Answers
Answer:
clockwise, 90°
(0, 0)
Step-by-step explanation:
Draw a segment from (0, 0) to (1,1).
After the rotation, that segment becomes a segment from (0, 0) to (1, -1).
the rotation is 90° clockwise, and the point it is rotated about is (0, 0).
Robin invested $1000 in a 12% simple interest savings deposit for 3
years. He also invested an equal amount in a 10% compound interest
savings deposit for 3 years. At the end of 3 years, how much more
interest did he get from the simple interest deposit?
Answers
Step-by-step explanation:
Lets find out,shall we?
Simple interest=(PRT)/100
=$1000×12×3)/100
=$360
Now for compound interest
A=P(1+R/100)^t
A=$1000(1+12/100)^3
A=$1404.928
so interest for compound interest=$(1404.928-1000)=$404.928
Clearly,Robin got more interest by compound interest than simple interest which business people understand lol.
Difference in interest=$404.928-360=$44.928
Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?
6 milk bottles, 1 banana peel, 3 newspapers, 4 soda cans, 6 apple cores
A.
35%
B.
65%
C.
13%
D.
100%
Answers
Answer:
recyclble materials include Milk bottles, news papaers and soda cans
the rest is compost
20 items is the total
13 are recycble
13/20 as a decimal is 0.65
multiply by 100
and answer is
B.65%Step-by-step explanation:
Answer:
B 65%
Step-by-step explanation:
when making a long trip, you should stop for a rest: about every four hours or two hundred miles only when you stop for meals and gasoline do not stop until you get to your destination about every two hours or one hundred miles submit answer
Answers
In order to keep the attention and reduce the risks that come with driving too much without a break, it is generally advised to take a break of at least 15 minutes every two hours and to limit your driving time to no more than eight hours per day during a long trip.
What is a long trip?
Driving over extended periods of time without rest can be quite dangerous, despite how alluring it may be on a road trip to do so in order to reach your goal as quickly as possible.Frequent breaks are essential to maintaining a high standard of safe, efficient driving since driving requires a lot of concentration, expertise, and control that is challenging to maintain for hours on end.In order to keep the attention and reduce the risks that come with driving too much without a break, it is generally advised to take a break of at least 15 minutes every two hours and to limit your driving time to no more than eight hours per day during a long trip.
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Please help. The question is in the pictures. Thanks :)
Answers
Answer:
d
hope thois helped!
Step-by-step explanation:
Explain how to divide negative and positive rational numbers.
Answers
Answer:
The rule for multiplying and dividing rational numbers
Ok so if both numbers are negative or positive the answer will be positive. but if one number is positive and the other is negative the answer is negative.
Hope this helps
Brainliest please
The quotient of 32 and a number is -4
Answers
if im right its 32 / n = -4
if your meant to solve it its -8
Because a positive number and a negative number divided or multiplied, the answer is always gonna be a negative.
So 32/-8 = -4
can some one answer this
Answers
If a grapefruit costs $0.94, how much would 9 grapefruits cost?
Answers
Answer:
$8.46
Step-by-step explanation:
(0.94)(9) = 8.46
pls give me brainliest
Answer:
$8.46
Step-by-step explanation:
.94 x 9 = 8.46
Jim began a 146-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 5 hours. If Jim walks at a rate of 4 miles per hour and rides at 40 miles per hour, find the amount of time he spent on the bicycle.
Answers
Answer:
3.5 hours
Step-by-step explanation:
Let us represent
The time spent walking as x
The time spent riding as y
Jim began a 146-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 5 hours.
Hence:
x + y = 5.... Equation 1
x = 5 - y
If Jim walks at a rate of 4 miles per hour and rides at 40 miles per hour,
The formula for Distance = Speed × time. Hence,
4 × x + 40 × y = 146 miles
4x + 40y = 146.... Equation 2
We substitute 5 - y for x in Equation 2
4(5 - y) + 40y = 146
20 - 4y + 40y = 146
Subtract 20 from both sides
20 - 20 - 4y + 40y = 146 - 20
- 4y + 40y = 146 - 20
36y = 126
y = 126/36
y = 3.5 hours
Since the time he spent raiding his bicycle is represented by "y", the amount of time he spent on the bicycle is 3.5 hours
compute: 3/8 divided -0.25
Answers
Answer:
-1.5
Step-by-step explanation:
3/8 is 0.375 in decimal form
Answer:
-1.5
Step-by-step explanation:
what is equivalent to 2/3 - (-3/4) + 5/4
Answers
isnt It imporoper
................,,,,
Answer:
Can I get brainiest?
Step-by-step explanation:
whats the answer giving brainliest :)
Answers
80% = .8
8/.8 = 10
8/10 = .8
Answer:
u deleted my first anwser-
Step-by-step explanation:
ur dum i was right :)
In rhombus MNOP, side NO equals 45mm. What is the length of
OP
PM+MN
Answers
the length of side OP of rhombus is 45 mm and PM + MN is equal to 90 mm.
We are given a rhombus MNOP
We know that, a rhombus is a quadrilateral in which there are 4 sides and all the sides are equal.
We are given the length of the side NO as:
NO = 45 mm
Now, we need to find the length of side OP.
OP = 45 mm ( as NO = OP)
Also, we need to find PM + MN
PM + MN = NO + NO ( as PM = MN = NO )
= 2 NO
= 2 × 45 mm
= 90 mm
Therefore, we get that, the length of side OP of rhombus is 45 mm and PM + MN is equal to 90 mm.
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e + f =48
e=3f
Plz help - thanks
Answers
Answer:
[tex]given \: \\ \\ e = 3f \\ e + f = 48 \\ \\ 3f + f = 48 \\ 4f = 48 \\ f = \frac{48}{4} \\ f = 12 \\ so. \\ e = 3 \times 12 = 36[/tex]
plzz mark it as a brilliant ansHelp fast please
Write each number using scientific notation
Answers
Step-by-step explanation:
uwhhsmousyhajjijajhfihagghe
Answer:
Step-by-step explanation:
11. 5.2 * 10^-6
12. 8.3 * 10^2.
Sam bought a shirt, and the total came to $28.25. If Sam gave the clerk two $20 bills, how much change should Sam receive? Explain how you got your answer.
Answers
20 + 20 = $40
--
40 - 28.25 = $11.75
--
sam should receive $11.75
For each question:
1) write the equation
2) Generate at least two ordered pairs
3) Graph them.
1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422.
2) Bob paid a $25 sign-up fee for streaming content, plus $12 per month for his subscription
Answers
Answer:
2
Step-by-step explanation:
Answer:
I dont know either but nobody wants to answer this question and just steal points.
Step-by-step explanation:
sorry u dont have the answer.
On a piece of paper, graph f(x) =3 • (2)^x. Then determine which answer
choice matches the graph you drew.
Answers
This is that equation graphed out:
Answer:
the answer is closest to D
Select two values that can replace
to make the inequality true.
5.436 < I NEED ANSWER FASTT
Answers
Answer:
D and B
Step-by-step explanation:
Just solve each one
(-1,2) and (-4,8)
Find the slope of the line that contains the point
1. 2
2. 6/5
3. -2
4. -6/5
Answers
Answer:
-2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 8 -2)/(-4- -1)
= (8-2)/(-4+1)
= 6/-3
= -2
Consider the population of part-time college students. Suppose that 60% of this population is female. Here is the sampling distribution for the proportion of females in random samples of n students. The standard deviation is approximately 0.10. Lines indicate a distance of 1 and 2 standard deviations above and below the mean.
Answers
Answer:
The answer is "1.5".
Step-by-step explanation:
Given value:
[tex]p= 60 \% = \frac{60}{100}= 0.60\\\\\sigma_p = 0.10 \\\\\hat{p} =0.75[/tex]
testing the statistics:
[tex]Z= \frac{\hat{p} -p}{\sigma_p}\\\\[/tex]
[tex]=\frac{0.75-0.60}{0.10}\\\\=\frac{0.15}{0.10}\\\\=1.5[/tex]