Answer:
For a polynomial of any degree, with roots x₁, x₂, ...., xₙ and a leading coefficient A, we can write it as:
p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
In this case, we have:
Leading coefficient = -1
Roots : 1, 1 + 73, 1 - 3
Then the polynomial will be:
p(x) = -1*(x - 1)*(x - (1 + 73))*(x - (1 - 3))
= -1*(x - 1)*(x - 74)*(x + 2)
Now, if the roots are:
1, 1 + 73*i, 1 - 3*i
then:
p(x) = -1*(x - 1)*(x - 1 - 73*i)*(x - 1 + 3*i)
Linda conducted a school survey and asked 8th-grade students about their favorite NFL team. The results are in the table below. Based on the results of the survey, what was the probability of an 8th-grade student choosing the Pittsburgh Steelers as their favorite NFL team?
Answer:5oo
Step-by-step explanation:
i'll mark you as brainliest
Answer:
the answer is 6
Step-by-step explanation:
1. What must be added to -3/8 to get 5/16 ?
pls need ANS. FAST
Answer: 11/16
Step-by-step explanation:
-3/8 = -6/16
5/16 - (-6/16) = 11/16
You need to add -3/8 with 11/16 to get 5/16
84.7g of sugar is needed to make 11 cakes. How much sugar is needed for 5 cakes
Answer:
38.5 grams of sugar for 5 cakes
Step-by-step explanation:
Set up a ratio of grams to cakes
84.7g:11
How much for 1 cake(unit rate because you want sugar over cakes)?
Just divide by 11.
7.7g:1
But you need 5 cakes so multiply by 5
38.5g:5
Answer:
Step-by-step explanation:
First divide 84.7 and 11 which is 7.7
So there is 7.7g of sugar in one cake.
Next multiply 7.7 by 5 which is 38.5
Therefore you need 38.5g of sugar for 5 cakes
Starting from the same place a plane took 1 hr longer to fly 705 mi to Atlanta, than to fly 470 mi to New Orleans. If the plane flew at the same rate for the entire trip, what was the flying time for the shorter leg? a. 1 2 hr c. 1 1 2 hrs b. 1hr d. 2 hrs
Answer: d. 2 hrs
Step-by-step explanation:
Let x = Time taken(in hours) to fly 470 mi to New Orleans. (Shorter leg)
Then Time taken to fly 705 mi to Atlanta= x+1 (longer leg)
Since the plane flew at the same rate for the entire trip.
i.e. Speed 705 mi to Atlanta = Speed to fly to New orleans
[tex]\Rightarrow\ \dfrac{705}{x+1}=\dfrac{470}{x}\ \ \ \ \ \ \ [\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}]\\\\\Rightarrow\ 705x=470(x+1)\\\\\Rightarrow\ 705x=470x+470\\\\\Rightarrow\ 705x-470x=470 \\\\\Rightarrow\ 235x=470\\\\\Rightarrow\ x=\dfrac{470}{235} \\\\\Rightarrow\ x=2[/tex]
hence, the flying time for the shorter leg = 2 hours
So (d) is the correct option.
Carri is trying to run a certain number of miles by the end of this month. If Carrie is 55% of the way to achieving her goal and she has already run 11 miles, how many miles is she trying to run by the end of this month
Answer:
20 miles
Step-by-step explanation:
Let
x = total number of miles she wish to run the end of this month
If Carrie is 55% of the way to achieving her goal and she has already run 11 miles
55% of her total miles = 11 miles
55% of x = 11 miles
55/100 * x = 11 miles
0.55x = 11
Divide both sides by 0.55
x = 11 / 0.55
= 20
x = 20 miles
x = total number of miles she wish to run the end of this month = 20 miles
She is trying to run 20 miles by the end of this month
is −2π rational or irational?
1 point
The cost for 8 tickets if $84. At this
rate, 15 tickets will cost a total of
O $105.50
O $150.00
O $150.50
O $157.00
$157.50
Charles Beaudry sells computer hardware for a computer firm. He is paid 4 percent commission on the first $8,000 of sales, 6 percent on the next $10,000 of sales, and 8 percent on sales over $18,000. What is his commission of $21,278 in sales?
As i don't want this to be to long
We break it down so
$8000 x 4% = $320
$10000 x 6% = $600
$8000 + $10000 = $18000
$24550-$18000 = $6550 x 8% = $524
Final answer
$320+$600+$524 = $1,444
SI Unit is used for scientific work why?
Answer:
SI is used in most places around the world, so our use of it allows scientists from disparate regions to use a single standard in communicating scientific data without vocabulary confusion.
6x - 3 = 3( 2x - 1 ) what is the answer need it fast please and thank you
Answer:
Any number for x will work
Step-by-step explanation:
6x-3=3(2x-1)
expand
6x-3=6x-3
add three to both sides
6x=6x
simplify
x=x
Therefore any number for x will work
Answer:
x=x
Step-by-step explanation:
6x-3=3(2x-1)
Used Distributive property to 3(2x-1)
6x-3=6x-3
Add 3 to both sides:
6x=6x
Divide 6 from both sides:
x=x
Write the equation of the line that goes through the point (1,3) & is
PARALLEL to the line y=2x+8 *
Answer:
y = 2x + 1
Step-by-step explanation:
Let the equation of the line be y = mx + c
since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)
sub (1, 3):
3 = 2(1) + c
c = 1
therefore, the equation is y = 2x + 1
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Which equation has the same solution as x^2-x+11=8
Answer:
There are no real solutions to this equation.
Hope This Helps!
another sequence is defined by a term to term sequence where k and r are constants
SEE IMAGE BELOW
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[tex]U(n + 1) = kU(n) + r[/tex]
_________________________________
[tex]n = 1[/tex]
[tex]U(1 + 1) = kU(1) + r[/tex]
[tex]U(2) = k \times U(1) + r[/tex]
[tex]188 = k \times (37) + r[/tex]
[tex]37k + r = 188 \: \: \: (( \alpha ))[/tex]_________________________________
[tex]n = 2[/tex]
[tex]U(2 + 1) = kU(2) + r[/tex]
[tex]U(3) = k \times U(2) + r[/tex]
[tex]943 = k \times (188) + r[/tex]
[tex]188k + r = 943 \: \: \: (( \beta ))[/tex]
_________________________________
[tex]188k + r = 943 \: \: \: (( \beta ))[/tex]
[tex]37k + r = 188 \: \: \: \: \: (( \alpha ))[/tex]
[tex](( \beta )) - (( \alpha )) = [/tex]
[tex]188k - 37k + r - r = 943 - 188 \\ [/tex]
[tex]151k = 755[/tex]
Divide sides by 151
[tex] \frac{151k}{151} = \frac{755}{151} \\ [/tex]
[tex]k = 5[/tex]
Put the value of k in one of the equations to find the r :
[tex]37k + r = 188[/tex]
[tex]37 \times (5) + r = 188[/tex]
[tex]185 + r = 188[/tex]
[tex]r + 185 = 188[/tex]
Subtract sides 185
[tex]r + 185 - 185 = 188 - 185[/tex]
[tex]r = 3[/tex]
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Ashley needs to rent tables and chairs for a fashion show that she is coordinating. The round tables rent for $8 each and the white wooden chairs rent for $2.25 each. She needs to rent the tables and chairs in a 1-to-6 ratio. If she has a $525 budget, which of the following combinations should she choose?
Group of answer choices
22 tables and 132 chairs
23 tables and 136 chairs
24 tables and 142 chairs
25 tables and 150 chairs
The answer is number 3 :)
Answer:
3
Step-by-step explanation:
Kellan just spent $45 on chocolate bars. If he purchased 60 chocolate bars, how much did each one cost?
Round to the nearest hundredth.
Answer:
0.75
Step-by-step explanation:
Please help I can’t figure out the answer
Answer: A
Step-by-step explanation: so in goes up by 5 and out goes up by 1 which i think makes 5x and the first one is 0,9 so f(x)=5x+9
What is the solution to this equation? Show your work. -7n + 29 = -5(n - 7)
Which angles are corresponding angles?
try A
Step-by-step explanation:
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ \angle \: UTQ \: and \: \angle \: RQO}}}}[/tex]
Step-by-step explanation:
✎ The easiest way to think of a corresponding angles is ' F - pattern ' . In our case , [tex] \angle[/tex] UTQ and ∠ RQO are corresponding angles as they makes F - Shape .
Hope I helped!
Have a wonderful time ! ツ
~TheAnimeGirl
2.9(x) = 4x + 8 What is g(8)?
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[tex]g(x) = 4x + 8[/tex]
[tex]g(8) = 4(8) + 8[/tex]
[tex]g(8) = 32 + 8[/tex]
[tex]g(8) = 40[/tex]
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The pie chart shows information about visitors to restaurants in a town. 375 people had fish and chips. How many people had pizza?
Answer:
15
Step-by-step explanation:
A gas station sells unleaded regular and unleaded premium gasoline. The price per gallon charged by the station is$1.299 for unleaded regular and $1.379 for unleaded premium. The cost per gallon from supplier is$1.219 for unleaded regular and $1.289 for unleaded premium. If equals the number of gallons sold of regular and equals the number of gallons sold of premium:(a) Formulate the revenue function from selling and gallons of the two grades of gasoline respectively?(b) Formulate total cost for purchasing and gallons?(c) Formulate the total profit? d) what is the total profit expected to equal if the station sells 100,000 gallons of unleaded and regular and 40000 of unleaded premuim?
Answer:
a) Revenue function = 1.299r + 1.379p
where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline
b) cost function = 1.219f + 1.289p
c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p
d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600
Work out the base of a square with area 225cm²
Answer:
15cm
Step-by-step explanation:
Given parameters:
Area of the square = 225cm²
Unknown:
Base = ?
Solution:
A square is a figure with equal sides.
Area of a square = L²
L is the side length
225cm² = L²
L = √225
L = 15cm
The base of the square is 15cm
Step-by-step explanation:
answer .................
a line passes through the points 1 , -6 and 4,3 what is the Y intercept of this line
Answer:
y-intercept = -13
Step-by-step explanation:
So you have to put it in slope-intercept form to solve.
slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.
Jayda take 4 hours to deliver 156 newspapers. How many newspapers can Jayda deliver in one hour?
Answer:
Step-by-step explanation:
39
Answer:
39 is the answer you are looking for
Change to a proper fraction
19/5 (Explain how to do it please) 31 points for it and if you don’t explain correctly I’ll report the question.
Answer:
3 4/5
Step-by-step explanation:
19/5 is improper because the numerator is larger to the denominator. If we round 19 down to 15 and divide 15 by 5 we get 3 but we still have 4 left because of how we rounded it. Let me explain this a little bit smaller.
19 fits into five three times, and that leaves 4 left over, 19/5 = 3 & 4/5
( i just added the & sign so it didn't look like 34/5 )
will mark brainiest if correct. Need answers ASAP plz!!!!!
ANAWER ASAP NEED HELP ASAP!!!!!!
Answer:
1/3
Step-by-step explanation:
What is 3 1/4 I don’t know what I am supposed to do can some one help me please think you
Answer:
uh i don't really get the question you asked, but if it's asking for the improper fraction of 3 1/4, it's 13/4.
Step-by-step explanation:
Determine if the following graph is a function. Find the
domain and range of the following graph. Write your
answer in inequality form.
Answer:
Yes, it is a function.
The domain is (∞,∞) and the range is (∞,5].
Step-by-step explanation:
A function needs to pass the vertical line test: It can only have one x value and one y value at a time. You simply hold a ruler to your screen and drag it from left to right (or vice versa) and see if the function touches the ruler once. If it touches once at any given point, it's a function!
The domain is (∞,∞) because there is a line on both ends- meaning it stretches infinitely. The range is (∞,5] since it goes down infinitely and stops at y = 5.