Answer:
its A <33
Step-by-step explanation:
Consider the function f(x) = x^3 - 7x^2 - 2x + 14
What is the total number of zeros of f(x)? Explain how you got your answer.
Find the zeros of f(x). Explain your procedure as you solved it.
Answer:
There are 3 zeros, which are:
[tex]x=7,\:x=-\sqrt{2},\:x=\sqrt{2}[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)\:=\:x^3\:-\:7x^2\:-\:2x\:+\:14[/tex]
To get the zeros of [tex]f(x)[/tex], set [tex]y[/tex] or [tex]f(x) =0[/tex]
so
[tex]0=x^3-7x^2-2x+14[/tex]
as
[tex]x^3\:-\:7x^2\:-\:2x\:+\:14=\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)[/tex]
so
[tex]\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)=0[/tex]
Using the zero factor principle:
[tex]\mathrm{ \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
so
[tex]x-7=0\quad \mathrm{or}\quad \:x+\sqrt{2}=0\quad \mathrm{or}\quad \:x-\sqrt{2}=0[/tex]
solving
[tex]x-7=0[/tex]
[tex]x=7[/tex][tex]x+\sqrt{2}=0[/tex]
[tex]x=-\sqrt{2}[/tex][tex]x-\sqrt{2}=0[/tex]
[tex]x=\sqrt{2}[/tex]Therefore, there are 3 zeros, which are:
[tex]x=7,\:x=-\sqrt{2},\:x=\sqrt{2}[/tex]
A group of 4 friends go out for dinner and the total cost of the dinner is $200. They use a $40 coupon before splitting the bill evenly. How much would each person pay after they use the coupon? *
I AM DYING 2 KNOWWWW
Also this is a integer question
Answer:
$40.00
Step-by-step explanation:
the total is 200 so then u subtract the $40 from the coupon which will leave u with 160. Since there is 4 people 160/4 equals 40. Therefore your answer is each person pays $40.00
Answer:
40
Step-by-step explanation:
First subtract the 40 coupon from the equation since it says they use it before paying. Since they all pay the same amount, use x in this case, simply divide 160 by 4, which is 40 for each person. And to double check the answer, multiply 40 by 4, to make sure each person pays the same, then add the 40 dollar coupon, and the answer should be $200. Or, you can think of it as 40x+40(Coupon)=200. Or 200-40=40x.
6 > -4h + 10
How do I do this
William charges $4 per hour to babysit. LaRhonda charges a $10 flat fee, plus an additional $2 per hour to babysit. After how many hours will William and LaRhonda earn the same amount of money? (1 pt)
Answer:
After 5 hours
Step-by-step explanation:
LaRhonda charges a 10 dollar fee plus 5 hours will get her 20 dollars.
William will babysit 5 hours for 4 dollars and receive 20 dollars also.
Solve the equation by factoring.
[tex]2x^{2} +20x=7x+7[/tex]
(PLEASE SHOW YOUR PROCESS)
The value of x is what the answer
Answer: x = 20
because 2 triangles are similar
=> [tex]\frac{2x-4}{24}=\frac{42}{x+8}[/tex]
⇔ (2x - 4)(x + 8) = 24.42
⇔ 2x² + 12x - 32 = 1008
⇔ 2x² + 12x - 1040 = 0
⇔ 2(x - 20)(x + 26) = 0
because x > 0
=> x = 20
Step-by-step explanation:
Calculate the result
63,756 multiplied by 60 divided by 70 multiplied by 5,280
please help
Answer:
288541440 is what i got
decrease 60 by the ratio 2:3
Step-by-step explanation:
Ejjeuduruwjd8i2iwiksjsud
What is the 38th term of 459,450,441,..
Answer:
The 38th term of 459,450,441,.. will be:
[tex]a_{13}=351[/tex]
Step-by-step explanation:
Given the sequence
[tex]459,450,441,..[/tex]
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]450-459=-9,\:\quad \:441-450=-9[/tex]
so
[tex]d=-9[/tex]
The first element of the sequence is
[tex]a_1=459[/tex]
so the nth term will be
[tex]a_n=-9\left(n-1\right)+459[/tex]
[tex]a_n=-9n+468[/tex]
Putting n=38 to find the 38th term
[tex]a_n=-9n+468[/tex]
[tex]a_{13}=-9\left(13\right)+468[/tex]
[tex]a_{13}=-117+468[/tex]
[tex]a_{13}=351[/tex]
Therefore, the 38th term of 459,450,441,.. will be:
[tex]a_{13}=351[/tex]
Write 28 as a product of primes.
Use index notation when giving your answer.
Answer:
28 = 2 × 2 × 2 × 7
Step-by-step explanation:
2 |28
2 |14
2 |7
7 |1
Answer:
2² × 7
Step-by-step explanation:
Had The same Question on Hegarty Maths
somebody please belp
Answer:
- 22.76
Step-by-step explanation:
if b = - 0.16 the you subtract that with - 22.6
- 0.16 - 22.6 = - 22.76
What properties makes the equation ture?
2z+5=5+2z
Associative properties
Distributive properties
Commutative properties
Indentity properties
(8•9)b=8(9b)
Associative properties
Distributive properties
Commutative properties
Indentity properties
A=1a
Associative properties
Distributive properties
Commutative properties
Indentity properties
3-3x=3(1-x)
Associative properties
Distributive properties
Commutative properties
Indentity properties
Answer:
A.2z+5=5+2z
Associative properties
Distributive properties
Commutative properties
Indentity propertie
Solve the equation 4x-2(x-4)=-9+4x+3
Answer:
x = 7 :)
Step-by-step explanation:
4x - 2x + 8 = -9 + 4x + 3
Combine like terms
2x + 8 = 4x - 6
Subtract 8 from -6
-2x = -14
Divide -14 and -2
x = 7
Write the point-slope equation of the line that goes through (4,6) with a slope of -2.
Answer:
(6,8) i think
Step-by-step explanation:
What is the value of x?
Group of answer choices
5 units
2 units
3 units
8 units
Answer:
the answer would be 5 units for x
Step-by-step explanation:
you would take the x and put it over 10 and then take 10 over 4x and then you would have to cross multiply which would give you 4x^2 =100 and then you would divide 100 by 4 which would give you 24 and then you need to take the square root of 25 which is 5
Why Did Japan go through a period of rapid industrialization and modernization ?
Step-by-step explanation:
Major production and export of cotton and silk yarn ensured Japan achieved an industrial revolution in light industry in the late nineteeth century.
Answer: Great Britain came to Japan and ”forced” it to open its borders for trade and to not be as secluded. the japanese realized how behind they were when it came to technological advancement and that they needed to catch up. So, they began to trade and colonize other countries in order to get proper resources for their industrialization and modernization. They became imperialists in order to accomplish their fast-paced effort of being advanced one again. They were isolated for years before Britain forced themselves in.
Step-by-step explanation:
I took lessons on this a week or so ago, I’m sorry if it doesn’t help :(
Solve the equation. 5/6x - 4 = -2
A. 2 2/5
B. 1 2/3
C. -2 2/5
D. 3 2/5
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{5}{6}[/tex] x - 4 = - 2 ( add 4 to both sides )
[tex]\frac{5}{6}[/tex] x = 2 ( multiply both sides by 6 to clear the fraction )
5x = 12 ( divide both sides by 5 )
x = [tex]\frac{12}{5}[/tex] = 2 [tex]\frac{2}{5}[/tex] → A
Which equation represents a line which is parallel to the line 2x + y = -1?
Answer:
y=2x-1
Step-by-step explanation:
i passed this
Larry has $150 in his bank account. He deposits $27 and then writes a check for $96
and a check for $31. How much money is now in his account?
Answer:
$-4
Step-by-step explanation:
Your welcome
Answer:
$50
Step-by-step explanation:
So the best thing is to com eup with an equation. I came up with:
150 + 27 - 96 - 31
Deposit means to put money into, so that's why we're adding 27.
And then the checks mean that they are going to be taken out of, so that's why we're subtracting 96 and 31. All that's left to do now is solve.
150 + 27 = 177 - 96 = 81 - 31 = 50
saftey first owo idc if i get baned agian i have an extar account owo
Answer: uwu hai owo how are you :3
Step-by-step explanation:
Answer:
oo jeez thats gross
Step-by-step explanation:
dont share photo's kids
The area of the rectangle is 8x2 + 6x - 5.
If the length is 2x-1, what is the width?
Answer:
4x+5
Step-by-step explanation:
8x2+6x−5 /2x−1
(4x+5)(2x−1) /(2x-1)
Cancels Out
4x+5
Pllllzzzzz hellllpppp!!! What is an equation of the line that passes through the point (2,2) and is parallel to the line x-2y=4
Answer:
-2y = 4 - x
2y = x - 4
y = 1/2x - 2
1/2 is the slope of both lines.
y = mx + b
Substitute the given point and the common slope
2 = 1/2 x 2 + b
2 = 1 + b
b = 1
y = 1/2x + 1
The equation of the line that passes through the point
(2, 2) and is parallel to the line x - 2y = 4 is y = 1/2x + 1 or 2y = x + 2.
hope this helps u
plz give me the brainliest i really need it
Answer:
x - 2y = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 2y = 4 ( subtract x from both sides )
- 2y = - x + 4 ( divide all terms by - 2 )
y = [tex]\frac{1}{2}[/tex] x - 2 ← in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Parallel lines have equal slopes, thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, 2) into the partial equation
2 = 1 + c ⇒ c = 2 - 1 = 1
y = [tex]\frac{1}{2}[/tex] x + 1 ← equation in slope- intercept form
Multiply through by 2
2y = x + 2 ( subtract 2y from both sides )
0 = x - 2y + 2 ( subtract 2 from both sides )
- 2 = x - 2y, that is
x - 2y = - 2 ← equation in standard form
There are 26 people watching Serena's softball game that are wearing sunglasses. Serena determined this is 40% of the people watching the game. How many people are watching Serena's softball game?
can someone help please?
In a scale drawing of a house, 2 inches : 5 feet. The actual kitchen of the house will be 17 feet long. How long will the drawing of the kitchen be? ( Hint: Not A)
A. 5.2
B. 6.8
C. 7.5
D. 8
9514 1404 393
Answer:
B. 6.8
Step-by-step explanation:
The drawing measure can be found using the proportion ...
drawing/actual = 2 in/(5 ft) = x/(17 ft)
Multiplying by 17 ft gives ...
x = (2 in)(17/5) = 6.8 in
The drawing of the kitchen will be 6.8 inches.
What is the retail price of a shirt that has a wholesale price of $12 and is marked up by 60 percent?
A. $7.20
B. $19.20
C. $31.20
D. $72.00
Answer:
Ium try b yup that's it I think but if not it's a
Answer:
it B i took the test
Step-by-step explanation:
A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded.
Mark this and return
Answer: D) On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1).
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded.
How to draw regions covered by inequalities?Suppose there is inequality given as: y ≥ f(x)
The region it covers is the region of value pairs (x,y) for which this inequality holds true.
We've to draw the region covered by it.
For a function y = f(x), there is y > f(x) on one side of the graph of the function y = f(x) in XY plane, and on other side there is y < f(x).
A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 minutes.
Let t be the time of the first process in minutes
s be the time of the second process in minutes
we know that the time of the first process multiplied by 4 (because is repeated 4 times) plus the time of the second process multiplied by 1 (because is repeated only once) must be less than or equal to 3 minutes
So, The inequality that represents this situation is
[tex]4t + s\leq 3[/tex]
The y-intercept of the solid line is the point (0,3)
The x-intercept of the solid line is the point (0.75,0)
The slope of the solid line is negative m=-4
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded.
Learn more about graphing inequalities here:
https://brainly.com/question/19598687
#SPJ2
X = 5 what is the red and blue angle? PICTURE ATTACHED
Answer:
Step-by-step explanation:
if x=5 then
7x = 7*5 = 35°
11x= 11*5 = 55°
those two angle are adding to 180 with the red and blue ones
180-35=145° is blue
180-55=125° is red
Please help meeeeee ASAP
Answer:
36 degrees
Step-by-step explanation:
180 - 58 = 122 degrees
122 - 90 = 32 degrees
32 + 4 = 36 degrees
Answer:
s = 36
Step-by-step explanation:
These lines is 180° in total and the one that is a right triangle has 90° and there is 58° on one so, 180 - 90 - 58 = 32.
32° = s - 4°
32 + 4 = s
36° = s°
A woman bought a stove for $2800. After using it for 2 years she decided to trade in the stove. The company estimated a depreciation of 15% for the first year of its use and a further 15% on its reduced value, for the second year.
i.) Calculate the value of the stove after two years.
ii.) Express the value of the stove after two years as a percentage of the original value. (5mks)
Answer:
$1719.55, 61.4%
Step-by-step explanation:
Original price of stove: $2,800
Value of stove after 1 year: (1 - 0.15)($2,800), or 0.85($2,800) = $2,380
Value of stove after 2 years: 0.85($2,380) = $1719.55
Find the ratio of this last result to the original price and convert that to a percentage:
$1,719.55
-------------- = 0.614, or approximately 61.4%
$2,800