Answers
Answer:
2b)x=1/3 or x= -4
2c) x= 0 or x= -2/3
Step-by-step explanation:
To factor ax² + bx + c, use the AC method.
Multiply a and cFind factors of ac that add up to bDivide those two factors by a. Reduce the fractions.The numerators are the constants, and the denominators are the coefficients.(b) 3x² + 11x − 4 = 0
a = 3, b = 11, c = -4ac = (3)(-4) = -12Factors of -12 that add up to 11 are 12 and -1.Divide by 3: -1/3 and 12/3 = 4/1The factors are 3x − 1 and x + 4.(3x − 1) (x + 4) = 0
3x − 1 = 0, or x + 4 = 0
x = 1/3, or x = -4
(c) 12x² + 8x = 0
Here, you can simply factor the greatest common factor, 4x.
4x (3x + 2) = 0
4x = 0, or 3x + 2 = 0
x = 0, or x = -2/3
Related Questions
Of the 2254 students at a liberal arts college, 257 are fifth year students. Among a sample of 321 of the students from this college, 257are fifth year students. Find the sample proportion of fifth year students, rounded to two decimal places as needed.
Answers
Answer:ifk
Step-by-step explanation:
Can someone please help me with this?
Answers
Hi there! :)
Answer:
[tex]\huge\boxed{BC = 26}[/tex]
In the question, it is given that AB = 3x - 1 and AC = 8x - 20.
Since AB = 3x - 1 and B is the midpoint, this means that BC is also 3x - 1. We can express this as an algebraic equation:
8x - 20 = 2(3x - 1)
Distribute the 2 with terms inside of the parenthesis:
8x - 20 = 6x - 2
Subtract 6x from both sides:
2x - 20 = -2
Add 20 to both sides:
2x = 18
Divide both sides by 2:
x = 9
Solve for BC by plugging in the value of x into the formula for AB
(since AB ≅ BC):
3(9) - 1 = 27 - 1 = 26 units.
BC = 26 units.
Answer:
BC = 5x - 19
Step-by-step explanation:
AC = 8x - 20
AB = 3x - 1
AC = AB + BC
Plug in the corresponding terms to the corresponding variables;
AC = AB + BC
(8x - 20) = (3x - 1) + BC
Isolate the term, BC, subtract 3x - 1 from both sides:
(8x - 20) - (3x - 1) = (3x - 1) - (3x - 1) + BC
BC = 8x - 20 - 3x + 1
BC = 8x - 3x - 20 + 1
BC = 5x - 19
~
What is the least common denominator of the expression below?
g^2 14+g
_____ + _____
9-g^2 24g+8g^2
Answers
Greetings from Brasil...
from notable products:
A² - B² = (A + B)·(A - B)
bringing to our problem:
9 - G² = (3 + G)·(3 - G)
Factoring 24G + 8G²:
8G(3 + G)
So, we have:
{G²/[ (3 + G)·(3 - G)]} + {(14 + G)/[8G(3 + G)]}
So the least common denominator is: 3 + G
[tex]\large{\frac{G^2}{9-G^2}+\frac{14+G}{24G+8G^2}=\frac{G^2}{(3+G)\cdot (3-G)}+\frac{14+G}{8G\cdot (3+G)}}[/tex]
The final cost of a bookstore purchase with a $5 coupon in a state that charges 8% sales tax is given by this expression. The variable x represents the amount of the purchase before the sales tax and the coupon are applied. 1.08(x−5) What does (x−5) represent?
a. the total charge after tax
b. the rate at which the total cost increases
c. the total charge before applying sales tax
d. the cost before applying the coupon
Answers
Answer:
B.the total charge before applying sales tax
Step-by-step explanation:
PLEASE HELP (05.04 LC) The image below is a triangle drawn inside a circle with center O: (5 points) Which of the following expressions shows the area, in square inches, of the circle? (π = 3.14) Select one: a. 3.14 ⋅ 2 b. 3.14 ⋅ 3 c. 3.14 ⋅ 22 d. 2 ⋅ 3.14 ⋅ 22
Answers
Answer:
Area of the circle is πr²
= 3.14(2)² = 4 · 3.14
Step-by-step explanation:
[tex]f(x) = \sqrt{x} [/tex]
Lim h=0
f(x+h) -f(x)/h
Answers
Answer: [tex]\dfrac{1}{2\sqrt x}[/tex]
Step-by-step explanation:
[tex]\lim_{h \to 0} f(x)=\dfrac{f(x+h)-f(x)}{h}[/tex]
f(x) = [tex]\sqrt x\\[/tex]
f(x+h) = [tex]\sqrt{x+h}[/tex]
[tex]\lim_{h \to 0} f(x)=\dfrac{\sqrt{x+h}-\sqrt x}{h}[/tex]
[tex]=\dfrac{\sqrt{x+h}-\sqrt x}{h}\bigg(\dfrac{\sqrt{x+h}+\sqrt x}{\sqrt{x+h}+\sqrt x}\bigg)[/tex]
[tex]=\dfrac{(x + h)-(x)}{h(\sqrt{x+h}+\sqrt x)}[/tex]
[tex]=\dfrac{h}{h(\sqrt{x+h}+\sqrt x)}[/tex]
[tex]=\dfrac{1}{\sqrt{x+h}+\sqrt x}[/tex]
[tex]=\dfrac{1}{\sqrt{x+0}+\sqrt x}[/tex]
[tex]=\dfrac{1}{2\sqrt x}[/tex]
anyone help if you guys help me the next question i will give u more points the screenshot is attached below
Answers
Answer:
69°
Step-by-step explanation:
To obtain the value of w, we must first obtain the value y as shown in the attached photo.
The value of y can be obtained as follow:
y + (w + 37) = 180 (sum of angle on a straight line)
y + w + 37 = 180
Make y the subject by rearranging
y = 180 – 37 – w
y = 143 – w
Finally, we shall determine the value of w as follow:
w + (w – 32) + y = 180 (sum of angles in a triangle)
y = 143 – w
w + (w – 32) + (143 – w) = 180
w + w – 32 + 143 – w = 180
Rearrange
w + w – w – 32 + 143 = 180
w + 111 = 180
Collect like terms
w = 180 – 111
w = 69°
Therefore, the value of w is 69°
Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alternative text. Points: A, B, C, D Line segments: Points: A, B, C, D Line segments: Points: A, B Line segments: Points: A, B, C, D Line segments:
Answers
Answer:
The answer is D
Step-by-step explanation:
d. Points: A, B, C, D Line segments: bar(AB), bar(AC), bar(BD)
The points are A, B, C, and D, and the line segment AB, AC, and BD. Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alternative text.
From the diagram, the points are A, B, C, and D, and the line segment AB, AC, and BD. Then the correct option is B.
Your question was incomplete, but the complete question was attached below.
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
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Is the following an Arithmetic Sequence? 4, 6, 8, 10, 12
Answers
Answer:
Yes
Step-by-step explanation:
For a sequence to be arithmetic, it must have a common difference, which means that the difference between any two consecutive terms must be the same. If we check the terms in our sequence, we see that 6 - 4 = 2, 8 - 6 = 2, 10 - 8 = 2 and 12 - 10 = 2. Since we got the same answer (2) every time, the answer is yes, it is an arithmetic sequence.
A country has a 7 digit phone number system of the form ABC-DEFG. The first digit 'A' can be any number except O or 1. The next 2 digits , B' and 'C, can be any digit , except they cannot repeat . The last 4 digits can be any single digit number 0-9 . How many unique phone numbers are possible?
Answers
Answer:
7,200,000
Step-by-step explanation:
Number of Possibilities for
A) First Digit
There are 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) of which 0 and 1 is not allowed.
Hence there are 8 possibilities for the first digit
B) Second digit
There are 10 posibilities
C) Third digit
Since it mustn't be the same as Second digit....
There are 9 possibilities
D) Forth digit
There are 10 possibilities
E) Fifth digit
There are 10 possibilities
F) Sixth digit
There are 10 possibilities
E) Seventh digit
There are 10 possbilities
Total possible ways for the 7-digit phone number is...
8×10×9×10×10×10×10
=7,200,000 possible phone numbers
PLEASE HELP! A) 6,135º C B) 6,681º C C) 502º C D) 47º C
Answers
Answer: 47°C
Step-by-step explanation:
Since we are given the velocity, all we have to do is plug in 358 for v and solve for t.
[tex]358=20\sqrt{273+t}[/tex] [divide both sides by 20]
[tex]17.9=\sqrt{273+t}[/tex] [square both sides to cancel out square root]
[tex]320.41=273+t[/tex] [subtract both sides by 273]
[tex]t=47.41[/tex]
Now that we know the temperature is 47.41°C, we know our answer choice is D.
1. A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this?
Unit rate answer plz
Answers
Answer:
rate = 316800 feet miles per hour
unit = feet per hour
Step-by-step explanation:
swimming rate of fish = 60 miles per hour
1 mile = 5280 feet
60 miles = 60*5280 feet = 316800 feet
swimming rate of fish = 60 miles per hour
substituting 60 miles with with its equivalent in feet we have
swimming rate of fish = 316800 feet miles per hour
answer
rate = 316800 feet miles per hour
unit = feet per hour
4. The Emerson First National Bank is lending you money to buy a new car. The loan agreement will probably state
that you must carry
insurance.
A no-fault
B. collision
C. medical
D. liability
Answers
Answer:
D. liability
Step-by-step explanation:
The Emerson First National Bank is lending you money to buy a new car.
Before an agreement will be reached for any Organization to lend someone money there have to be something like a collateral.
The agreement will in it's document state that there must be a form of a reliability to hold on, such that if something's happen to the car, or you don't meet the paying up time, or something happens to you,they will see something to hold on.
Answer:
COLLISION insurance.
Step-by-step explanation:
what does 590x89 equals ??
Answers
Answer:
52510
Step-by-step explanation:
590x89=52510
(hope it help??)
Answer:
52510
Step-by-step explanation:
googl
A cell phone company charges $15 for 120 minutes. What is the cost per minute? Round to the nearest cent.
Answers
Answer: The cost per minute is $0.13 or 13 cents.
Step-by-step explanation:
If it charges $15 for 120 minutes then to get to one minute we will have to divide it by 120.
so 15/120 = 0.125 which rounds to 0.13 to the nearest cent.
Answer:
Step-by-step explanation:
• Check your work when you're done.
Your Assignment
Michael and his sister Mel share the job of mowing the grass in their yard. Michael mows 1/3
of the yard, and Mel mows the rest. Mel can mow 3/4 of the entire yard in an hour. How long will it take Mel to finish mowing her part of the yard?
Answers
Answer:
Approximately 53 mins
Step-by-step explanation:
Yard mowed by Michael = ⅓ of the yard
Yard mowed by Mel = 1 - ⅓ = [tex] \frac{1}{1} - \frac{1}{3} = \frac{3 - 1}{3} = \frac{2}{3} [/tex]
Rate at which Mel can mow a yard = ¾ of the yard in 1 hour
That is, it would take 1 hr to mow ¾ of the yard.
If ¾ yard requires 1 hr, then,
⅔ yard would require x hr
Thus:
x*¾ = 1*⅔
[tex] \frac{3x}{4} = \frac{2}{3} [/tex]
Cross multiply
[tex] 3(3x) = 4(2) [/tex]
[tex] 9x = 8 [/tex]
Divide both sides by 9
[tex] x = \frac{8}{9} [/tex]
It would take Mel [tex] \frac{8}{9} hr [/tex] to finish mowing her part, which is approximately 53 mins. [tex] (\frac{8}{9}*60mins = 53.3mins [/tex].
Answer:
53 min
Step-by-step explanation:
How long will it take you to ski a distance of 36 miles at a speed of 3 miles per 30 minutes.
Answers
Answer:
6 hours
Step-by-step explanation:
Since there are 60 minutes in one hour, you can ski 3 * 2 = 6 miles per hour. Therefore, it will take you 36 / 6 = 6 hours to ski that distance.
Marissa is writing a book. The ratio of the number of pages she has written so far to the
number of hours she has spent writing is 5:8. Which statement is true?
On average, Marissa wrote 1 page every 3 hours.
On average, Marissa wrote 3 pages each hour.
On average, Marissa wrote 5 pages every 8 hours.
On average, Marissa wrote 8 pages every 5 hours.
Answers
Answer:
On average, Marissa wrote 5 pages ever 8 hours.
Step-by-step explanation:
The ratio is the number of pages to the number of hours she has spent writing so 5:8 means 5 pages every 8 hours.
On average, Marissa wrote 5 pages every 8 hours. Therefore, option C is the correct answer.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio of the number of pages she has written so far to the number of hours she has spent writing is 5:8.
In 8 hours Marissa is writing 5 pages
Therefore, option C is the correct answer.
To learn more about the ratio visit:
brainly.com/question/13419413.
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Jan owns a coffee shop. She is planning to hire Michael as a part-time employee at $8.50 per hour. She will also contribute $20 each week to a bonus fund, to be paid out at a later date. Michael cannot work more than 35 hours a week. How much will it cost Jan to hire Michael during his first 2-week pay period?
Answers
Answer:
635 dolalrs
Step-by-step explanation:
How many hours can Jan work in both weeks
35(2) = 70 hours
70 (8.50) = 595 dollars base salary.
Bonus each for both weeks = 2(20) = 40
595 + 40 = 635 dollars
Answer:
$595
Step-by-step explanation:
8.50x 70 hours= equal pay for 2 weeks without bonus pay
35 plus 35=70 hours
$595 without bonus
2(35x8.5) + 2(20)=636 (with bonus)
Without bonus 2(35x8.50)=595
Use the definition of the derivative to find f'(x) if
[tex]f(x) = \frac{1}{x - 1} [/tex]
Answers
Answer:
f'(x) = - [tex]\frac{1}{(x-1)^2}[/tex]
Step-by-step explanation:
f'(x) = [tex]lim_{h>0}[/tex] [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= [tex]lim_{h>0}[/tex] [tex]\frac{\frac{1}{x+h-1}-\frac{1}{x-1} }{h}[/tex]
= [tex]lim_{h>0}[/tex] [tex]\frac{x-1-(x+h-1)}{h(x+h-1)(x-1)}[/tex]
= [tex]lim_{h>0}[/tex] [tex]\frac{x-1-x-h+1}{h(x+h-1)(x-1)}[/tex]
= [tex]lim_{h>0}[/tex] [tex]\frac{-h}{h(x+h-1)(x-1)}[/tex] ← cancel h on numerator denominator
= - [tex]\frac{1}{(x-1)^2}[/tex]
The sixth-grade class is competing in the school field day. There are 32 girls and 40 boys who want to participate. Each team must have the same number of girls and boys. What is the greatest number of teams that can be formed? How many boys and how many girls will be on each team?
Answers
Answer:
16 girls on each team and 20 boys on each team.
Hope I helped you.
simplify the expression. -6(-8 + 3s) =
Answers
Answer:
The correct answer is 48 - 18s.
Step-by-step explanation:
To simplify this problem, we have to use the distributive property. To do this, we must multiply each term inside the parentheses by -6 (what is outside of the parentheses). This is modeled below:
-6(-8 + 3s)
= (-8 * -6) + (-6 * 3s)
Now, we can simplify what is inside the parentheses.
= 48 - 18s
Therefore, the correct answer is 48 - 18s.
Hope this helps!
The Rockville Recruitment Agency just placed Howard Jacobson in a job as an assistant pharmacist. The job pays $51.2K. The agency fee is equal to 40% of the first three weeks' pay.
c. How much must Howard pay the employment agency to the nearest dollar?
Answers
Answer:
Step-by-step explanation:
51,200 divided by 52. (52 weeks in a year.) 984.615385 is answer. So each week he gets paid $984.62. So then we multiply that by 3 since we are finding 40% of 3 weeks of pay. $984.62x3= $2953.86. Then we multiply that by 40%.. $2953.86x40%= Answer is $11181.54
4. A ship traveled a distance of 50 km from port O at a bearing of 120°, then another 100 km to port B at a bearing of 200 °. What is the distance between ports O and B?
Answers
Step-by-step explanation:
Jesu
A car is driving 90 kilometers per hours how far in meters does it travel in 3 second
Answers
Answer:
I hope it will work
Step-by-step explanation:
as given
speed = v = 90 km/hr convert to meter and sec we get
v =( 90 *1000 meter)/(3600 sec)
v=25 m /sec
as given t= 2 sec so
v=s/t
s= v*t
s=25*2
s=50 meter
if its help-full hit the stars and brain list it thank-you
Evaluate the following expression when x = -4 and y = 4.
Answers
Answer:
[tex] \frac{ - 1023}{4} [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{6} - 6 }{4y} = \frac{ - 4 {}^{6} - ( - 4) }{4(4)} = \frac{ - 4096 + 4}{16} = \frac{ - 4062}{16} = - 255.75 = \frac{ - 1023}{4} [/tex]
Hope this helps ;) ❤❤❤
Answer:
c
Step-by-step explanation:
HELP PLEASE!!! The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely.
Answers
Answer:
Length of each side = (4x-1)
Step-by-step explanation:
You could use the Quadratic formula to solve this, but there is a bit of a logical/intuitive gap you have to jump over at the end to get the answer.
For a straightforward mathematical explanation of what the area is equal to, you need to complete the square. From there you acknowledge that a square's sides are equal to each other and then you'll have your lengths.
My work is in the attachment. Comment with any questions.
Answer:
4x - 1
Step-by-step explanation:
given area of square :
16x² − 8x + 1
(4x)² -8x + 1
factor the equation
and this is a perfect square trinomial
a² - 2ab + b² = (a-b) (a-b)
(4x)² - 8x + 1 = (4x-1) (4x-1)
we know that the area A = s² (s stands for side)
substitute, (4x-1)² = s²
4x - 1 = s
therefore, the side of a square s = 4x - 1
Decide whether the pair of lines is parallel, perpendicular, or neither.
2x + 3y = 7
2x + 3y = 9
Answers
Answer:
the pair of lines are parallel
What decimal number does point A on the number line below represent? −0.75 0.75 −1.25 1.25
Answers
Answer:
-1.75
Step-by-step explanation:
Point A is in between - 1 and -2
This interval is split in 4 equal parts and has 3 marker points.
Point A is on the bottom marker point, which indicates:
-1 * 3/4 = - 3/4 = - 0.75Since it is below -1, we add up - 1 and - 0.75:
- 1 + (-0.75) = - 1.75Point A represents: -1.75 on the number line
Answer:
-0.75678obsf
Step-by-step explanation:
how to write 720,080 in expanded form with exponents?
Answers
The number may be written as:
720,080
[tex]= \frac{720,080}{100,000} X 100,000[/tex]
[tex]=7.2008 X 10^5[/tex]
Answer: 7.2008 x 10⁵
Please give me brainlest ;(