Steps to solve:
151 - 4(32 - 2)
~Distribute
151 - 128 - 8
~Subtract
23 - 8
15
Best of Luck!
Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?
A. 0 with multiplicity 3, –3 with multiplicity 2, and –2 with multiplicity 1
B. 0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1
C. 0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1
D. 0 with multiplicity 3, –3 with multiplicity 1, and –6 with multiplicity 1
Answer:
B. 0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1
Step-by-step explanation:
Took a test
Factoring and solving the equation, it is found that the zeroes are:
B. 0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1.
The function is:
[tex]f(x) = -x^5 + 9x^4 - 18x^3[/tex]
Simplifying by [tex]-x^3[/tex]:
[tex]f(x) = -x^3(x^2 - 9x + 18)[/tex]
The zeroes are the values of x for which:
[tex]f(x) = 0[/tex]
[tex]-x^3 = 0 \rightarrow x = 0[/tex]
0 has multiplicity 3.
And:
[tex]x^2 - 9x + 18 = 0[/tex]
Quadratic equation with [tex]a = 1, b = -9, c = 18[/tex].
[tex]\Delta = (-9)^{2} - 4(1)(18) = 9[/tex]
[tex]x_{1} = \frac{-(-9) + \sqrt{9}}{2(1)} = 6[/tex]
[tex]x_{2} = \frac{-(-9) - \sqrt{9}}{2(1)} = 3[/tex]
6 and 3 with multiplicity 1, thus option B.
A similar problem is given at https://brainly.com/question/19776811
whats the gcf of 44c^3,22c^3 and 11c^4
Answer:
44c^3,22c^3 and 11c^4
11c^3
If a square has a side length of x + 4 and a perimeter of 44 cm, what is
the value of x. *
Square are the same size all the way around, which means every side = x + 4
The perimeter of a square = 4 * side
the perimeter = 44 cm
Let's plug our values into the formula above.
44 cm = 4 * (x + 4)
Distribute the 4
44 cm = 4x + 16
Subtract 16 from both sides
28 cm = 4x
Divide both sides by 4
7 = x
Siena downloaded a file at a rate of 800 kilobytes per second for about 110 seconds. What calculation will give us the estimated size of the file Siena downloaded, in megabytes?
Answer:
(800 x 110) / 1000
The quotient of 2.6 + -2.6 is
Answer:
you got it keep 4-6
Step-by-step explanation:
Question 5
10 pts
A grocery store sells 2 boxes of cereal for $4.95. Which method can be used to
find the total cost c of purchasing n boxes of cereal?
O Multiply n by the cost of one box.
O Multiply n by c.
O Divide n by the cost of one box.
Divide n by c.
Answer:
Multiply n by the cost of the box.
Step-by-step explanation:
hey there,
< For these kinds of problems I always like making ratio tables.
2 boxes → $4.95
n boxes → $?
To find the thing we don't know in any ratio table (marked by "?"), you have to multiply the two opposites and then divide by the last one standing. I know that sounds confusing so let me explain...
"Two opposites" means the two values that are right across from each other, but do not include the unknown ("?"). In this example, the two diagonally across from each other are "n" amd "4.95". "2" and "?" can't be right across from each other because one of those is a "?".
Multiply the two opposites. n × 4.95. Let's not actually simplify since this isn't what we are doing here in this question and leave it like this:
n × 4.95 = (n × 4.95)
Now that we found that, we have to divide it by the last number available. The last number available that we haven't used yet is "2" (it obbviously can't be the unkown number "?").
(n × 4.95)/2
Whatever the result of the above equation is, is the answer.
(n × 4.95)/2 = ?
In our situation, "?" means "c". This is how you would solve any ratio table, it might seem tricky at first but it's actually super easy.
In this question, we are not asked to divide by two because they want to know a method of solving using the cost of one box.
[tex]\frac{(n*4.95)}{2} / 2[/tex]
n × (4.95/2)
4.95/2 is the cost of one box. Multiply that by "n" and there is your final answer. >
I seriously hoped this help cause this question was kind of hard to explain. Feel free to ask anything else.
help with domain and range.
Answer:Graphs of inverse functions have a domain and range just like any other graph of a function. The domain of an inverse function is the range of the original, and the range of an inverse function is the domain of an original.
Step-by-step explanation:
1,006 in scientific notation
Answer:
1.006 × 10³
Step-by-step explanation:
Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10^b.
Follow the steps below to see how 1,006 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 1,006
New Number: 1.006
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 1 . 0 0 6
Decimal Count: 1 2 3
There are 3 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10^b
a = 1.006
b = 3
Now the whole thing:
1.006 x 10³
Step 4
Check your work:
10³ = 1,000 x 1.006 = 1,006
Hope this helped.
1. Last week Mike had 12 dollars. He washed cars over the weekend and
now has 52 dollars.
How much money did he make washing cars ?
Answer: He earned $40.
Step-by-step explanation: So at the begging he started with $12. When he washed cars, he made some money off of that. At the end, he had $52. So now, you need to do 52-12, which equals 40. So, he earned $40 washing cars. Hope that helps.
If you thought that was helpful, say thanks and give me a good rating plz!
Pls help
Zoey is trying to write an equation in slope intercept form. She knows slope intercept form is y=mx+b. She is given the slope is 3 and the y intercept is 10. When she plugs it in she gets 10=3x+b. What mistake did zoey make and how can she fix it?
Answer:
the mistake that zoey had made while writing the equation was putting the y-intercept in the wrong place.in the slope intercept from the equation is y=mx+b.y is the product or the line, m is the slope, b is the y-intercept, the actual equation should be y=3x+10,instead what zoey had which was 10=3x+b. she guessd by pairing the y-intercept with y instead of b.
Step-by-step explanation:
.
Pythagorean theorem
Answer:
a=3√77=26.3 ( rounded to the nearest tenth)
Step-by-step explanation:
hyp.=37
base=26
a²+b²=c²
a²=c²-b²
a²=37²-26²
a²= 693
a=√693
a=3√77=26.3 ( rounded to the nearest tenth)
Answer: [tex]\huge\boxed{26.3}[/tex]
Explanation...
Our hypotenuse =37
Our B = 26
___________________________________________________________
Rearrange Formula (A^2+B^2=C^2)...
A^2=C^2-B^2
A^2=37^2-26^2
37^2= 1396
26^2= 676
1396-676=√693
√693= 26.342
26.342=26.3
Vince went on a
3 day hiking trip. Each day, he walked 3/4 the distance that he walked the day before. He walked
83.25 kilometers total in the trip.
How far did Vince walk on the
1st day of the trip?
hope it helps ya..!
Answer:
36
Step-by-step explanation:
guys i need your help you will get 15 points for helping this is 7th grade math if i had 10 apples and my mom had 6 what happened to my mom???
Answer:
ummmmmmm is that the whole question cuz apearently im slow cuz i dont understand and im in 10th
Step-by-step explanation:
A wheelchair ramp that is constructed to rise 1 foot off the ground must extend 12 feet along the ground. How long will the wheelchair ramp be? Round your answer to the NEAREST HUNDREDTH.
Answer:
Maximum slope for hand-propelled wheelchair ramps should be 1" of rise to every 12" of length (4.8 degree angle; 8.3% grade).
Maximum slope for power chairs should be 1.5" rise to 12" length (7.1 degree angle; 12.5% grade).
Minimum width should be 36" (inside rails) - (48" is ideal).
The "deck" or surface of the ramp should be set down between a side-rail assembly such that there is about a 2" curb or lip along the edges of the ramp surface. Decking could consist of 1" X 6" pressure treated pine, (or 3/4" pressure treated plywood applied to a frame).
If possible, the end of the deck (where it meets the lower ground surface) should be beveled to provide a smooth transition from the ramp to level ground. Alternatively, a sheet of 10 Ga. steel at least 10" long and sized to fit the width of the ramp could be used to span the space between the deck surface and the walk or driveway surface at the end of the ramp. This piece should overlap the ramp deck by 2" and be fastened securely with 4 large countersunk flat-head wood screws.
A level platform of at least 5' X 5' should be at the top of ramp to allow for wheelchair maneuvering. If the entrance way opens outward, there should be 1' of surface area extending from the side of the door opening to allow motion to the side without backing the chair during door opening. This landing should not be considered part of the overall "run"/length of the ramp. Any turning point along the ramp needs a level landing. If the turn is a right angle (90 degrees), the landing should be a minimum of 5' by 4'. If a "switchback" of 180 degrees is constructed, the level landing should measure at least 5' X 8'. Ramps longer than 30' should provide a platform every 30' for purposes of safety and to create opportunity for rest
Step-by-step explanation:
The length of the ramp nearest to the hundredth will be 12.04 feet.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
A wheelchair slope that is developed to rise 1 foot off the ground should expand 12 feet along the ground.
The length of the ramp will be given as,
H² = P² + B²
H² = 12² + 1²
H² = 144 + 1
Simplify the equation further, then we have
H² = 145
H = √145
H = 12.04 feet
The length of the slope closest to the 100th will be 12.04 feet.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
give me right answer this time lol
Answer:
The answer is 50 degrees :)
Step-by-step explanation:
Which radical expression is equivalent to x 4/7
Option C is the correct answer
Step-by-step explanation:
[tex] \huge {x}^{ \frac{4}{7} } = \sqrt[7]{ {x}^{4} } \\ [/tex]
Find the value of x and the value of y.
A. y=9, x = 40
B. y= 12,4 = 12
C. y= 10,2 = 16
D. not enough information to determine
Answer:
the 3rst one
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation:
If $1000 is divided equally among twelve people, about how much will each person
receive?
plz answer i suck at math :)
Answer:
4.08
Step-by-step explanation:
26.08 +(-6)²*(3.4-8.9)÷9
parenthesis first
26.08+36*(-5.5)÷9
then multiplication
26.08-198÷9
division
26.08-22
addition or subtraction
4.08
the answer is A) 4.08
Which equation is represented in the graph below
Answer:
y = -2x + 1
Step-by-step explanation:
-2 is the slope and 1 is the y intercept :)
Simplify: xyxy 27-4-8-3-8 + 1
Solve: m + 2/3 = 1/2
1. How many two-digit numbers can be
formed using the digits 3. 4. 5 and 6?
12
13
14
15
16
Find the domain and range of the function represented by the set of ordered pairs (-3,2),(-2,1),(-1,0),(0,-1)
plezzzz help me answer this question it will mean a lot
Answer:
1A: 5
1B: y = 3x + 10
Step-by-step explanation:
standard form is y = mx + b
M is your slope, B is your intercept
parallel lines have the same slope with different intercepts
What is the range of the function on the graph?
O all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to 1
O all real numbers greater than or equal to 2
Answer:
4th Option: All real numbers greater than or equal to 2.
Step-by-step explanation:
Range is the set of y-values that can be outputted by function f(x).
We see here our range spans from 2 to infinity. Since 2 is a closed dot, we can include it in our range. Therefore our answer is All real numbers that are greater than or equal to 2.
[2, ∞)
Answer:all real numbers greater than or Equal to 2
Step-by-step explanation:
Tommy pays $550 dollars for a new cell phone plus $121-dollar monthly fee (1) for data. Write an
expression for the total expense of his phone.
Answer:
C=550+121m
Step-by-step explanation:
M equals the number of months while C equals the cost
Hi guys I need help what is -55/8 (fraction) as a decimal
Answer: -6.875
Step-by-step explanation:
Divide 55 by 8 and apply the negative sign.
what is 2/4 + 6/8 + 2/4 + 15/24 + 7/8
Answer:
13/4
Step-by-step explanation:
41 out of 50 women surveyed liked perfume. what percentage of women did NOT like perfume
Answer:
18%
Step-by-step explanation:
Long Version: 41/50 = 0.82 and when you move the decimal two places right, you will get 82%. 100%-82%= 18%
Short Version: 9/50 people didn't like perfume. 9/50= 0.18 then you move the decimal two places right and it becomes 18%.
Answer
18% of women do not like perfume.
Step-by-step explanation:
First do 50-41, which is 9 to find out how many women don't like perfume. Next you find the percentage by doing 9/50 = 0.18 then you multiply 0.18 by 100. Finally you get 18%.
