Answers
9514 1404 393
Answer:
(c) factoring and the zero-product principle
Step-by-step explanation:
Factoring is always an efficient method of solving a quadratic, if it has nice integer factors that can be easily identified. Here, the two prime factors of 35 have a sum of 12, so the factored form is easily found to be ...
(x +5)(x +7) = 0
This basically shows you the solutions are x=-5 and x=-7 "by inspection" in one step.
By contrast, the quadratic formula has 4 multiplications, a division, a square root, and 3 additions. That's a significant amount of arithmetic to get to the answers.
Factoring is the most efficient way to solve this quadratic.
Related Questions
How many seconds are there in
January?
Answers
Answer: 2,678,400
Step-by-step explanation:
There are 31 days in January and 2,678,400 seconds
3rd 9-Week Exam
Question: 1-1
Monica is using a coordinate plane to make a design in art class. She wants to reflect a line segment across the x-
axis as part of the design. The line segment has an endpoint at (-7,5) and is 5 units long. Which two ordered pairs
could be the coordinates of the endpoints of the reflection of the line segment?
Answers
Answer:
dgfrngssfrhrfhhkthgfgtuthrruyifrhtuturhfnfbhmxvdg4jfdd
Step-by-step explanation:
xdvbbffyeurudgdifhfjdchd8wixsigfir
the rule for converting yards to feet
Answers
Answer:
1 yard=3 feet
Step-by-step explanation:
If it needs more, then 3 feet=36in.
Convert the decimal 0.07 to a fraction.
Answers
Answer:
7/100
Step-by-step explanation:
two decimal places so 100
help please! need it asap
Answers
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
These right triangles are similar due to the Angle Angle Similarity Theorem.
This means their side lengths are proportional
We need to find the corresponding sides of the inner triangle and full right triangle.
7 corresponds with 7 and 3.5
4 corresponds with x.
Set up proportion.
[tex] \frac{4}{7} = \frac{x}{7 + 3.5} [/tex]
[tex] \frac{4}{7} = \frac{x}{10.5} [/tex]
[tex]42 = 7x[/tex]
[tex]x = 6[/tex]
What is 2x-3y=-1
y=x-1
Answers
Answer: (4, 3)
Step-by-step explanation:
Let's use substitution.
So for y in the first equation we will substitute the expression for y in the second.
2x - 3(x-1) = -1
2x -3x + 3 = -1
-1x + 3 = -1
-3 -3
-1x = -4
-1x / -1 = -4 / -1
x = 4
Now plug in x for the second equation
y = 4 - 1
y = 3
Now check it using the first equation:
2(4) - 3(3) = -1
8 - 9 = -1
-1 = -1
It's true so it's correct
____________________
Answers
Answer:
the equation for that line would be y=0
Step-by-step explanation:
The slope is 0 so if one were to plug in 0 as a slope to y=mx+b you would get y=0x which can be simplified to y=0. Hope this helped. :)
Find the number to add to x^2+14x to make it a perfect square trinomial. Write that trinomial as the square of a binomial.
Answers
Answer:
The number is 13[tex] {x}^{2} + 14x + 13 \\ (x + 13)(x + 1)[/tex]
Step-by-step explanation:
I hope that is useful for you :)
Answer:
Step-by-step explanation:
What is the greatest common factor of 6, 42, and 30?
Answers
Answer:
6
Step-by-step explanation:
I found that the greatest common factor for those numbers is 6
Juan Rios rented a car for a 3-day weekend. The
car cost $35 per day plus $0.15 per mile. Juan
drove the car 425 miles and spent $53.75 on gas.
What was Juan's total cost? What was the cost
per mile?
Answers
Answer:
17000
Step-by-step explanation:
I hope this helps:)
write an explicit formula for an the nth term of sequence 100,20,4
Answers
Answer:
a_3=4
Step-by-step explanation:
a1 = 100
r = 1/5
an = 100 (1/5)^(n - 1)
so we now have the answer for a_3
a_3 = 100 * (1/5)^(3 - 1)
a_3 = 100 * (1/5)^2
a_3 = 100 * 1/25
a_3 = 4
i believe this is it, although i'm not entirely sure
good luck :)
**please let me know if this was wrong/not what you were looking for or both**
have a nice day!
Find the surface area of the regular pyramid to the nearest tenth
Answers
Answer:
668.17
Step-by-step explanation:
Any tips for a gaming addicted brother? :-/
Answers
Answer:
Step-by-step explanation:
I would take his phone for a bit and also reduce screen time to 6 hours a week at MOST. It would help a lot.
5.5 as a mixed number.
Answers
Answer: 5 1/2
Step-by-step explanation:
You keep your whole number which is five, then you see that the other 5 is in the tenths place in the decimal (5.5) so you put 5 over 10 and combine the fraction (5/10) with the whole number (5) and that is 5 5/10. But you see that it is not simplified so you simplify and get 5 1/2. I hope this helps :)
Eric is a car salesman. He earns a weekly salary of $175 plus 4% commission on sales. This
week he sold a car for $35,450.
A) How much commission did he earn this week?
B) What did he earn in TOTAL this week?
(urgent pls show work)
Answers
Answer:
Step-by-step explanation:
Simplify: -5 + 3a +
6 - 4a.
Answers
Answer:
-a+11
Step-by-step explanation:
hard to explain. but should be correct
PLS HELP ASAPPP
I really need help
question: write in standard form.
2x^2+x^3-3+4x^5
Answers
Answer:
4x^5 + x^3 + 2x^2 -3
Step-by-step explanation:
Standard form is ( put simply ) the order the numbers are from highest to lowest. So the standard form of the equation would be 4x^5 + x^3 + 2x^2 -3
hope this helps!
Please help, test due in 1 hour! I will give brainliest!
Answers
sorry if it’s wrong
Need help quick please
Answers
Answer:
line 2
Step-by-step explanation:
on line 2 the two minuses at the end turn into a + (where the -2 is there should be a +2) because - x - = +
solve by regrouping 2x2+6x+54+18x
Answers
Answer:
I believe the answer is=2x2+342.
Using the graph, determine the coordinates of the vertex of the parabola.
Answers
If it’s wrong, hopefully this bobcat will make your day better
A number, f is positive
Answers
Answer:
Not enough information.
Step-by-step explanation:
A woman bought a number of items for $72. She realized that if she had bought 12 more items for the same money, she would have paid $8 less per item. How many items did she buy?
Answers
Answer:
Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg
Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...
Occupation: Engraver, inventor, and printer
Born: Johannes Gensfleisch zur Laden zum G...
Died: February 3, 1468 (aged about 68); Mainz, ...
Known for: The invention of the movable-type ...
Early life · Printing method with... · Legacy · References
People also askStep-by-step explanation:
Jillian tracks her progress on her spelling tests over a period of four weeks. Which list shows her scores from greatest to least
Weeks 1,3,2,4
Weeks 3,1,4,2
Weeks 3,1,2,4
Weeks 1,3,4,2
Answers
Answer: B
Step-by-step explanation:
The pair of equations that can be used to find x and y are:
x + y = 62
(1.02)x = 7
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here, we have,
The form of the pair of equations would be:
hours worked last week + hours worked this week = total hours worked both weeks equation 1
(1 + percent increase/100) x hours worked last week = hours worked this week equation 2
x + y = 62 equation 1
(1 + 20/100) ×x = y
(1.02)x = 7 equation 2
The two equations can be solved using either of these three methods:
elimination method
substitution method
graph method
To learn more about mathematical equations, please check: brainly.com/question/26427570
#SPJ2
complete question:
Jillian worked 62 hours this week and last week. She worked x hours last week and y hours this week. She worked 20% more hours this week than last week. What pair of equations can be used to find x and y?
Write the standard equation of a circle with its center at the origin and radius 3.
Answers
Answer:
9 = x^2+y^2
Step-by-step explanation:
3^2 = (x-0)^2 + (y-0)^2
9 = x^2+y^2
whats x value please help
Answers
Answer:Step-by-step explanation:
x+46=90
x=90-46
x=44°
the volume of the cereal box is 192 and the volume of the shipping box is 51,840. how many cereal boxes can fit in the shipping box?
Answers
Answer:
270
Step-by-step explanation:
51840/192= 270
Answer:270 i think
hope thatm helps
Jacey has 40 pizzas to sell in the concession
stand at a basketball game. Each pizza has
been cut into 8 slices of equivalent size. In the
first hour, Jacey sold 16 3/8 pizzas. In the second
hour, she sold 18 3/4 pizzas. How many pizzas
does Jacey have left to sell?
Plz help
Answers
Answer:
the answer is 16.6 Pizzas
Step-by-step explanation:
16% of 40 is 6.4 that means she sold 6 full pizzas and 0.4 parts of one pizza
add that to 18 is 24.4 pizzas sold and 16.6 to go.
Find the 10th term of the arithmetic sequence -x + 9, 4x + 14, 9x + 19, ...
Answers
Answer:
44x + 54
Step-by-step explanation:
The nth term of an arithmetic sequence is given by :
Tn = a + (n - 1)d
d = common difference = T2 - T1
d = T2 - T1
a = first term = - x + 9
d = 4x + 14 - (-x + 9)
d = 4x + 14 + x - 9
d = 5x + 5
The 10th term:
T(10) = (-x + 9) + (10 - 1)*(5x + 5)
T(10) = - x + 9 + 9(5x + 5)
T(10) = - x + 9 + 45x + 45
T(10) = 44x + 54
Hence, the 10th term is 44x + 54
Digital Plus manufactures cameras. Last year, the company was able to produce 25,000 cameras each month.After introducing a new process for manufacturing this year, the company was able to produce 32,000 cameras each month. By what percent did production increase?
Answers
Answer:
28%Step-by-step explanation:
Increase of production:
32000 - 25000 = 7000Percent increase:
7000/25000 * 100% = 28%Total increase
32000-250007000Percentage
7000/25000(100)0.28(100)28%