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
You want to buy a $239,000 home. You plan to pay 20% as a down payment, and take out a 30 year loan for
the rest
a) How much is the loan amount going to be?
b) What will your monthly payments be if the interest rate is 5%?
$
c) What will your monthly payments be if the interest rate is 6%?
Submit Question
3
1
O
A
оо
Answer: a) 191200 b) 557.67 c) 562.98
Step-by-step explanation:
a) 239000 times .8 (aka 80%) = 191200
b) 191200/(12 times 30) = 531.11
531.11 times 1.05 (5%) = 557.667
Round to nearest cent: 557.67
c) 191200/(12 times 30) = 531.11
531.11 times 1.06 (6%) = 562.978
Round to nearest cent: 562.98
A sample of single celled marine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 600,000 cells. Calculate the per capita rate of increase (r) for the population.
9514 1404 393
Answer:
r ≈ 19.6% per day
Step-by-step explanation:
The growth of the population can be modeled by ...
P = P0 × (1 +r)^t
where P0 is the initial population, r is the growth rate (per day), and t is the number of days. Using the given numbers, we can find r to be ...
600,000 = 100,000 × (1 +r)^10
6^(1/10) = 1 +r
r = 6^0.1 -1 ≈ 0.196231
The growth rate per day is about 19.6%.
4x-2=18x+5
Show ur work
Step-by-step explanation:
[tex]4x - 2 = 18x + 5[/tex]
Collect like terms and simplify
[tex] - 2 - 5 = 18x - 4x \\ - 7 = 14x[/tex]
Divide both sides of the equation by 14
[tex] \frac{ - 7}{14} = \frac{14x}{14} \\ - \frac{1}{2} = x[/tex]
Answer:
x = -1/2
Step-by-step explanation:
4x-2=18x+5
-2-5=18x-4x
-7=14x
-7/14=14/14x
-1/2=x
Eunice buys dog bed with a listed price of $31. Eunice uses a sale that provides 30% off. What is the total
final price Eunice pays?
A. $21.70
B. $23.70
C. $25.55
D. $28.10
Answer:
21.70
Step-by-step explanation:
First find the discount
31 * 30%
31 *.30
9.3
Subtract from the original amount
31 - 9.3
21.70
please solve this question i need help
Answer:
a=50
b=130
c=130
Step-by-step explanation:
2a-50=a(vertically opposite angles)
a=50
a+c=180(angles on straight line)
50+c=180
c=180-50=130
b=c(vertically opposite angles)
b=130
Help me pleaseeeeeeeee
||x-2|-6|=8
Answer:
x = -12 or x = 16
Step-by-step explanation:
| x - 2 | - 6 =8
+6 +6
------------------------
| x - 2 | = 14
---> we get x = -14
---> we get x = 14
so, x = -12, or, x = 16
8x – 3 = 11 + 6x
What is x
Answer:
x = 7
Step-by-step explanation:
[tex]8x-3=11+6x\\\\2x-3=11\\\\2x=14\\\\x=7[/tex]
Answer:
x = 7
Step-by-step explanation:
8x - 3 = 11 + 6x
8x - 3 + 3 = 11 + 6x +3
8x = 6x + 14
8x - 6x = 6x + 14 - 6x
2x = 14
2x/2 = 14/2
x = 7
enter the range of values for x:
12x because you multiply it
Solve 4/5x + 1/3 = 3
(3,-8) and (7,-2)
Jeejekrjrjeksksndnfkfk
Answer:
First question(-14)
Second question(-24)
Step-by-step explanation:
8 x 3 = 24/since the signs are different the number will be negative.
7 x -2 = -14/since the signs are different the number will be negative.
hope this helps!! plz mark as brainly if it helps you<3
What is 7x-4(3x-2)=18
A building is 1 foot from a 7 foot fence that surrounds the property a worker wants to wash a window in the building 10 foot from the ground he plans to place a ladder over the fence so it rest against a building he decides he should place a ladder 7 feet from the fence for stability to the nearest 10th of a foot how long with the latter need to be
Answer:
The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.
What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?
Step-by-step explanation:
4w-41 = -7(w-2) Simplify your answer as much as possible.
Answer:
w = -13
Step-by-step explanation:
4w - 41 = 7(w-2)
Open the bracket
4w -41 = 7w -14
Collect like terms
4w - 7w = 41 - 14
-3w = 27.
Divide both side by -3
w = -9
Answer: w = 5
Step-by-step explanation:
4w-41=-7w+14
4w+7w=14+41
11w=55
W = 55/11
W = 5
a van is traveling 64 7/8 miles per hour. an airplane is traveling 5 6/7 times faster. about how fast is the airplane traveling? could u please help?
Answer:
it will be 736 speed faster than
A 260-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the lengths of the two pieces.
The short piece is inches long.
The price of a sandwich decreases from $6 to $4. What is the percent decrease in the price of the sandwich?
Answer:
33.33%
Step-by-step explanation:
Decrease in price= Original price -- New price
= $6 - $4
= $2
Percentage decrease= $2÷$6 × 100
= 33.33%
(5pg)3=125pg. Is wrong or correct
Answer:
125 p^3 g^3
Step-by-step explanation:
(5pg)^3
We know that (ab)^c = a^c * b^c
5^3 p^3 g^3
125 p^3 g^3
What is the value of (-1/4 - 1/2) ÷ (-4/7)
Answer:
1 5/16
Step-by-step explanation:
(-1/4 - 1/2) ÷ (-4/7)
Parentheses first
Get a common denominator
(-1/4 - 1/2 *2/2)
(-1/4 - 2/4)
-3/4
Replace in the equation
(-3/4 ) ÷ (-4/7)
Copy dot flip
-3/4 * -7/4
21/16
1 5/16
[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]
[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]
Add or Subtract: show all work 30 POINTS!!
I need to make n the subject
hope it's helpful
THANK YOU
When solving secθ=−4.2 for 180°≤θ≤360°, how many possible answers are there?
0
1
2
unable to determine
In the Cartesian coordinate system, which coordinate point represents the location of the
origin?
A. (0, 1)
B.(0, 0)
C.(1.O)
D.(1, 1)
Answer:
(0, 0)
Step-by-step explanation:
Each reference line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair (0, 0).
A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number
Answer:
The number is 5
Step-by-step explanation:
A number is multiplied by 8 = 8x
8x + 2
8x + 2 = 42 Subtract 2 from both sides
- 2 -2
8x = 40 Divide by 8
x = 40/8
x = 5
the inequality -3n<12 is equivalent to
a. n < 4
b. n < -4
c. n > 4
d. n > -4
e. n > 36
Answer: D. n > -4
Step-by-step explanation:
Given
-3n < 12
Divide both sides by -3. REMEMBER to change the [>,<] signs when multiplying or dividing a negative term
-3n / -3 > 12 / -3
n > -4
Hope this helps!! :)
Please let me know if you have any questions
Hey there! I'm happy to help!
Inequalities are solved like normal equations with a few extra rules.
So, we could simply divide both sides by -3 to get our answer, but n<-4 would actually be incorrect. With inequalities, dividing by a negative number means you have to flip the inequality sign. This is because you turn the other side negative so you need to adjust the inequality sign to match it.
So, our final answer will actually be n>-4.
Have a wonderful day and keep on learning! :D
When 3 is added to a number, and the result is multiplied by 5, you obtain two times the number
Hi
to solve you must transcrive every word in math terms correctly.
so let's first give a name to our mysterious number. As you know, in math we generally call unknown by letter. " X"
so let's now play the detective.
what do we know on " X" ?
we add 3 to X so we have : X+3
then we multiply by 5. so. ( X+3) *5 .
if we do that we have twice X , so 2X
so ( X+3) * 5 = 2 X
now that we have translatted our data in math term, let's unmask. " X"
( X+3) *5 = 2X
5*X +3*5 = 2X
5X +15 = 2X
5X-2X = -15
3X = -15
X = -15/3
X = -5
So is " -5" is our guy.
let's check it out to be sure .
-5 +3 = -2
-2*5 = -10
-10 is twice -5. so -5 is the correct answer.
Ps : some operation are commonly implied. if you do not. know how I could write some line in the calculus, dont hesitate to ask in comments.
There is no mysteries in math everything is done according to rules and can be explained. So don't hesitate !
5x + 4m = 43my + 6 solve for m
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Answer:
m = (5x -6)/(43y -4)
Step-by-step explanation:
Subtract 4m+6 to separate m-terms from other terms.
5x +4m -(4m +6) = 43my +6 -(4m +6)
5x -6 = 43my -4m
5x -6 = m(43y -4) . . . . factor out m
(5x -6)/(43y -4) = m . . . . divide by the coefficient of m
Evaluate the exprssion when a= -5
a2+6a-9
Answer:
-49
Step-by-step explanation:
Substitute the a for -5
2(-5)+6(-5)-9
Multiply:
-10+-30-9
Add:
-40-9
Subtract (Add negatives):
-49
Hi there!
»»————- ★ ————-««
I believe your answer is:
-14
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{Assuming that the expression is: } a^2 + 6a -9[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Evaluating...}}\\\\a^2+6a - 9\\-----------\\(-5)^2 + 6(-5) - 9\\\\\rightarrow (-5)^2 = 25\\\\\rightarrow 6 * -5 = -30\\\\25 - 30 - 9\\\\\rightarrow \boxed{-14}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Fully factorise: 4x2−25
NEED ANSWER ONLY DON'T SHOW STEPS. URGENT!!!
a. (2x+5)(2x−5)
b. (2x−5)(2x−5)
c. (4x+5)(x−5)
d. (3x+20)(x+5)
Answer:
The correct choice is option a. (2x+5)(2x−5)
Answer:
Option a. (2x+5)(2x-5)
Step-by-step explanation:
4x2 - 25
Furthermore, this is the difference of squares formula we will use to factor 4x^2-25:
a2 - b2 = (a + b) • (a − b)
As you can see, our problem does not look like the left side of the formula, so first we have to convert our problem to match the left side like so:
4x2 - 25 = (2x)2 - 52
Now that it matches, we can simply plug in 2x for a and 5 for b into the formula to get the factors of 4x^2-25:
(2x + 5) • (2x − 5)
________________________________
I know this is urgent but still I gave you the explanation so that whenever you're confused with questions like that then these steps can help you.
Solve for x.
(2x - 5°
(5x + 10)
B
Choose the most convenient method to graph the line y = –3x + 4.
Answer:
Step-by-step explanation:
