Step-by-step explanation:
that means the expression is the result of a multiplication with (x-0.5) being one factor.
so, we divide the whole expression by this and then deal with the remaining quadratic equation.
6x³ - 13x² + x + 2 / x - 0.5 = 6x² - 10x - 4
- 6x³ - 3x²
----------------------------
- 10x² + x + 2
- - 10x² + 5x
----------------------------
- 4x + 2
- - 4x + 2
----------------------------
finished. 0
so, the whole expression is also
P(x) = (x-0.5)×(6x² - 10x - 4)
now we need to find the 2 zero points of the quadratic part.
the general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
a = 6
b = -10
c = -4
x = (10 ± sqrt(100 - 4×6×-4))/12 =
= (10 ± sqrt(100 + 96))/12 = (10 ± sqrt(196))/12 =
= (10 ± 14)/12
x1 = (10+14)/12 = 24/12 = 2
x2 = (10-14)/12 = -4/12 = -1/3
42% of the people of the people are ahead of me and 56% of them are behind me how many people are in the line?
Answer:
100%
Step-by-step explanation:
This question doesn't really make sense but technically it's 100%
Answer and explantion please?
Answer:
x=76° (being alternate angle)
Answer:
x=76° (Alternate angle)
Which pattern doesn't belong?
А
B
С
D
Answer:
A is right that is my abswer
Answer:
i think the answer might be opinion C
Some Word Problems
1. You are making sandwiches for a large crowd. All must be identical and must contain 2 slices of bread, 2 teaspoons mustard, 3 slices salami, 2 slices of cheese, 2 lettuce leaves, and 1 slice tomato.
You have on hand
2 loaves of bread, 20 slices each 3 pounds of cheese, each pound gives 16 slices 1 quart of mustard 60 slices of salami An unlimited supply of tomatoes from your garden 3 head of lettuce, approximately 15 leaves in each
How many sandwiches can you make?
For which ingredients is (are) there no leftovers?
In case you've forgotten your kitchen conversions: 1 quart = 4 cups; 1 cup = 16 tablespoons; 1 tablespoon = 3 teaspoons
We are to find how many sandwiches can be made and the ingredients that has leftovers
You can make 20 sandwiches
lettuce has 1 leftover and tomato has unlimited leftover
Recipe for Sandwiches:
Bread = 2 slices
Mustard = 2 teaspoons
Salami = 3 slices
cheese = 2 slices
Lettuce = 2 leaves
Tomato = 1 slice
3 pounds of cheese = 16 × 3 slices = 48 slices2 loaves of bread = 20 slices × 2 = 40 slices1 quart of mustard = 4 cups × 16 tablespoons × 3 teaspoons= 192 teaspoons
lettuce = 3 heads × 15 leaves= 45 leaves
Recipe available:
Bread = 40 slices
Mustard = 192 teaspoons
Salami = 60 slices
cheese = 48 slices
Lettuce = 45 leaves
Tomato = unlimited
Bread
Recipe available / original recipe
= 40 slices / 2 slices
= 20 servings
No leftovers
Mustard
Recipe available / original recipe
= 192/2
= 96 servings
No leftovers
Salami
Recipe available / original recipe
= 60 / 3
= 20 serving
No leftovers
Cheese
Recipe available / original recipe
= 48/2
= 24 servings
Lettuce = 45/2
= 24 remaining 1
leftover = 1
Tomato = unlimited leftovers
The ingredients available can only make 20 sandwiches equally
Read more:
https://brainly.com/question/24540733
Simplify Question 8 options: A) 8 B) 9 C) 6 D) 12
Answer:
Your question is incomplete ..
A motorcycle starts from rest . If its gain an acceleration of 2m/s^2 in 5 second , Calculate the final velocity.
✌✌✌✌
Using first equation of kinematics
[tex]\\ \sf\longmapsto v=u+at[/tex]
[tex]\\ \sf\longmapsto v=0+2(5)[/tex]
[tex]\\ \sf\longmapsto v=10m/s[/tex]
HELP
Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.
Answer:
152
Step-by-step explanation:
avrg rate of change is basically a slope.
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
All step by step answer is in picture below.
true or false
IF 31×31 = 961 ,then 961 =31
44100 =220
Answer:
False
Step-by-step explanation:
It will have to be 31 x 31=961
supposed f(x) = 2x+5 what is the value of -2f(x+1)? PLEASE THIS IS THE LAST QUESTION ILL GIVE A BRAINLIEST
Answer:
-4x+1-10
Step-by-step explanation:
-2(2x+5)=0
-4x-10=0
-4x+1-10=0
-4x-9=0
-4x=9
x=9/-4
x=-2,25
please inform if wrong
17/3x + 17 - 2/3x - 15
If 265 students are expected at the prom this year, estimate the maximum dance floor space needed?
Simplify the polynomial, then evaluate for x = 1 and y = - 2.
2x2 y + 3xy2 – 3xy + 4x2 y + y2 – 5xy2
6x²y – xy2 – 3xy; - 14
6x2 y - 2xy2 – 3xy + y2; – 2
6xy - xy2 – 3xy;
- 10
6xy - 2xy2 – 3xy + y2; - 10
Answer:
Step-by-step explanation:
6(1)(-2) -2(1)(-2)^2 - 3(1)(-2) +(-2)^2
-12 -8 +6 +4
=-10
-10 is the value of the given polynomial.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
First, we can simplify the polynomial by combining like terms:
[tex]2x^2y + 4x^2y + 3xy^2 - 5xy^2 - 3xy + y^2\\= (2x^2y + 4x^2y) + (3xy^2 - 5xy^2) + (-3xy + y^2)\\= 6x^2y - 2xy^2 - 3xy + y^2[/tex]
Now, to evaluate for x = 1 and y = -2, we substitute those values into the simplified expression:
[tex]6(1)^2(-2) - 2(1)(-2)^2 - 3(1)(-2) + (-2)^2\\= 6(-2) - 2(4) + 6 + 4\\= -12 - 8 + 6 + 4\\= -10[/tex]
Therefore, the value of the polynomial for x = 1 and y = -2 is -10.
Learn more about Polynomials here:
https://brainly.com/question/11536910
#SPJ7
Marty's plant measured 6.75 inches at the beginning of the summer. It measured 8.375 inches at the end of summer.
How much did Marty's plant grow over the summer?
(1.)15.125
(2.)1.625
(3.)0.625
(4.) I don't know.
Answer:
1.625 inches
Step-by-step explanation:
i took the test on k12
Answer:
Marty's plant measured 6.75 inches at the beginning of the summer. It measured 8.375 inches at the end of summer.
How much did Marty's plant grow over the summer?
Step-by-step explanation:
The answer Is going to be 1.625
If this library has 134,000 books, find how many books are in the category of reference or other?
Answer:
134,000-X=Y
Step-by-step explanation:
you'll first have to solve how many categories there are, but since we don't know we'll use X, we already know that there is 134,000 books, but we don't know how many books are reference or other, so we use Y to represent that.
so it's
134,000-X=Y
I hope this helps
Assume that an investment of $7000 earns an APR of 6% compounded monthly for 18 months.
How much interest has been earned?
Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u
Step-by-step explanation:
https://www.wyzant.com/match
once simplified, which of the expressions below have a value greater than -20?
Answer:
A, B, and C
Step-by-step explanation:
a). -6 ÷ 2 x 5 1/3
= -3 x 5 1/3
= -16
b). 24 ÷ (-3) + 1/2
= -8 + 1/2
= -7.5
c). 36 ÷ 4 x (-2)
= 9 x -2
= -18
d). -54 ÷ (-9) x (-3 2/3)
6 x -3 2/3
= -22
If a metallic cylinder having volume 1540 cm^3 is melted to form cylinder having height 10 cm what is radius of cylinder
Answer:
radius is 7 cm
Step-by-step explanation:
formular for volume:
[tex]V = \pi {r}^{2} h [/tex]
r is radius
h is height
[tex]1540 = 3.14 \times {r}^{2} \times 10 \\ {r}^{2} = 49.0 \\ r = 7 \: cm[/tex]
Complete the table. Round each number to given place. Number 155,999 to nearest hundred
Answer:
156,000
Step-by-step explanation:
Answer:
156,000
Step-by-step explanation:
Note the hundreds place value (underlined and bold):
155,999
Look at the digit value directly next to the given place value (tens place value). It is a 9. Because 9 is greater then 5*, you will round up:
155,999 rounded to the nearest hundreds place value is 156,000.
* Note when rounding:
If the digit to the right of the one you are finding is:
- Less than 5: Round down.
- 5 or greater: Round up.
~
if 3 oranges cost 2 kobo. what is the cost of 54 oranges
Answer:
36kobos would be the cost of 54 oranges
25.5 divided by 1.25
the answer is 20.4 and I hope this helps!
Based on your answer to the last question, which of the following prices of trade (that is, price of cheese in terms of beer) would allow both Sweden and Greece to gain from trade? Check all that apply.
If a car takes 4 hours to cover 80 km then the average speed of the car is _____.
Step-by-step explanation:
Avg speed = total distance ÷ total time
= 80 ÷ 4 = 20 km/h
Answer:
80 divide by 4 so the final answer is 20km per hour
Step-by-step explanation:
speed measured as kilometer per hour. when it takes 80 km for 4 hour, all you have to do is divide 80 by 4.
hope this helps. good luck
Xander and Carly have a total of $12,000 to invest. If Zander tripled his money and Carly doubled her money, then they would have $31,000 to invest. How much money do each of them currently have? SOLVE this in TWO ways. Visually without variables and using algebra.
Answer:
Zander starts with 7,000; Carly starts with 5,000
Step-by-step explanation:
1 - Visually solving
Looking at the final value (31,000) one could interpret the sums of the numbers tripled and doubled respectively would need to equate to 31,000.
Taking off the additional zeros could also prove beneficial. To get 31, one of the numbers tripled or doubled would need to either be 11 or 21. 11 is a prime number, so that can be cancelled out. 7 multiplied by 3 (triple) produces 21.
12 - 7 = 5. Solving for the leftover 5 which would be doubled, you would get 10.
10 + 21 = 31.
2 - Algebra
x - Zander; y - Carly
To begin with you should need the initial formula.
x + y = 12,000
Your second formula would then take into consideration the changes made to x and y
3x + 2y = 31,000.
Using process of elimination or substitution, (either method works), you will find x = 7,000 and y = 5,000
what is the solution to the equation below when solved for t
D=r/t
Answer:
t = r/D.
Step-by-step explanation:
[tex]\frac{r}{t} =D[/tex]
[tex]r = t * D[/tex]
[tex]t = \frac{r}{D}[/tex]
Hope this helps!
Henry is planning a trip to Mexico. He figures his expenses for his trip will be around 25,000 pesos. He has $1000 US dollars saved. Does he have enough money for his trip? (One US dollar = 20.26 Mexican pesos).
Answer:
of course he doesn't....or Maybe he does let's go ask Henry
Carlos has two summer jobs. During the week he works in the grocery store, and on
the weekend he works at a nursery. He gets paid $16 per hour to work at the grocery
store and $17 per hour to work at the nursery. How much does he earn if he works 15
hours at the grocery store and 16 hours at the nursery? How much does he earn if he
works g hours at the grocery store and n hours at the nursery?
Answer:
$512
16g+17n= m
Step-by-step explanation:
Multiply 16 and 15 to represent the amount of money from working in the grocery store and 17 and 16 to represent the money from the nusery home. Add them to get 512.
This figure on the left was reflected, or flipped, over a line of reflection to create the figure on the right. Determine the location of the line of reflection.
Answer:
Step-by-step explanation:
Somewhere along the blue line
HELP PLS ILL GIVE BRAINLIEDY
NO LINKS
Answer:
70
81
95
A: 46%
Step-by-step explanation:
29+41=70
135-54=81
205-110=95
A: 95 out of 205.
Divide 95 by 205.
[tex]\frac{19}{41}[/tex] or 0.46341...
Switch to % and Round.
46%
I actually have no idea what b and c mean so good luck
Answer:70
81
95
Step-by-step explanation:
you subtract or add everything together to get an answer ex:29+41 thats how you get an answer of 70
Solve for K
20-6 + 4K =2-2k
Answer:
K = -2Step-by-step explanation:
20-6 + 4K =2-2k
=> 14 + 4k = 2 - 2k
=> 4k + 2k = 2 - 14
=> 6k = -12
[tex] = > k = \frac{ - 12}{6} [/tex]
=> K = -2 (Ans)
Calculate the distance between the points J = (- 2, - 1) and A = (3, - 7) in the coordinate plane Round your answer to the nearest hundredth
Answer:
The distance between the points is 7.81 (to the nearest hundreth)
Step-by-step explanation:
The distance formula between two points in the coordinate plane is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Put,
[tex]J(x_1,y_1)=(-2,-1)\\A(x_2,y_2)=(3,-7)[/tex]
Hence,
[tex]d=\sqrt{(3-(-2))^2+(-7-(-1))^2} \\d=\sqrt{(3+2)^2+(-7+1)^2} \\d=\sqrt{5^2+(-6)^2} \\d=\sqrt{25+36} \\d=\sqrt{61} \\d=7.810[/tex]