Answers
Answer: k = 3
because p - 1 is a factor of the equation
=> at p = 1, p^4 + p² + p - k =0
with p =1, we have: 1 + 1 + 1 - k = 0
⇔ k = 3
Step-by-step explanation:
Answer:
Solution,
since the factor of f(p) = p-1
we know, f(p)= 0
p=1 (from remainder theorem)
now,
f(p) =p^4+p^2+p-k
0= 1^4+1^2+1-k
0= 1+1+1-k
0= 3-k
k=3
Related Questions
Find the slope of each line
Answers
Answer:
0, -2/3
Step-by-step explanation:
If f(x) = 5x^2– 3 and f(x + a) = 5x^2+ 30x + 42,
what is the value of a ?
Answers
Answer:
The zeros are x=0,3,-2
There is a multiplicity of 1 for all of them.
Step-by-step explanation:
The required value of a is 3 for the given function.
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function is given as follows:
f(x) = 5x²– 3
Substitute the value of x = x + a in the above function,
f(x + a) = 5(x + a)²– 3
f(x + a) = 5(x² + a² + 2ax) - 3
f(x + a) = 5x² + 5a² + 10ax - 3
f(x + a) = 5x² + 10ax + 5a² - 3 ....(i)
As per the question, we have f(x + a) = 5x²+ 30x + 42 ....(ii)
Equating the equations (i) and (ii),
So, 10a = 30
a = 30/10
a = 3
Therefore, the required value of a is 3.
Learn more about the functions here:
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Recycling Tim's family was collecting aluminum cans to recycle. They found out that they would get two.cents for every three cans they collected. If they collected 2,187 cans, how much money did they receive? EXPLAIN YOUR ANSWER PLEASE
Answers
Answer: They received $14.58
Step-by-step explanation:
Set up a proportional relationship
If 2 cents equal to 3 cans then we will represent how 2,187 will be worth by x.
[tex]\frac{0.02}{3} / \frac{x}{2187}[/tex] Cross multiply
3x = 43.74 Divide both sides by 3
x = 14.58
Help plzzzzzz it says 5/2 is wrong and I’ve tried 2/5 too both are wrong
Answers
Answer:
2.5 or 2 1/2
Step-by-step explanation:
PLz answer fast with picture of your work on a blank piece of paper
Answers
Answer:2/3
Step-by-step explanation:
Twice a number is 12 more than 5 times the number.
Answers
Answer:
-4Step-by-step explanation:
Let the number be x:
2x = 5x + 122x - 5x = 12-3x = 12x = -4It is -4
A rectangular field is 348 inches long and 7 yards wide. What is the perimeter of the field in feet? plz help me
Answers
Answer:50 feet
Step-by-step explanation:
The record high temperature in Australia is 123°F. The record low temperature in Australia is – 9°F. How many degrees warmer is the record high temperature than the record low temperature?
Answers
Answer:
132
Step-by-step explanation:
123+9=132?
Answer:
132 degrees and can I get brainliest
Step-by-step explanation:
Absolute value of -9 is 9 so then 123 plus 9.
Allison is evaluating the expression -5-(-2) using integer tiles. She begins with 5 negative tiles as shown
VX
What should Allison do next to find the value of the expression?
remove 2 negative tiles
remove 3 negative tiles
add 2 negative tiles
Add 7 negative tiles
Answers
Answer:
its B. -3
Step-by-step explanation:
Remove 3 negative tiles .
Can I get brainliest??????
Answer:
Step-by-step explanation:
its b
Find the area of the shape below.
11 cm
14 cm
9cm
20 cm
Answers
Answer:
pretty sure its 235 cm^2
Step-by-step explanation:
I sent a pic to go with this.
Answers
Answer:
67.71
Step-by-step explanation:
In ANOP, NP is extended through point P to point Q, mZPNO = (x + 14),
mZOPQ = (5x – 2)°, and mZNOP = (x - 1)º. Find mZOPQ.
Answers
Answer:
Step-by-step explanation:
m∠OPQ = 23°
Can someone help me with this question? 12-x=5
Answers
Answer:
x=7
Step-by-step explanation:
12-x=5
Subtract 12 from both sides.
−x=−7
Divide both sides by -1
x=7
if the equation of L1 is 4x-2y=6 what is the x intersept?
Write the equation of L in slope intersept form
Write the slope of L.
Answers
Answer:
The x intercept: (1.5, 0)
The slope intercept form: y = 2x - 3
The slope: m = 2
Step-by-step explanation:
x intercept means y=0
4x - 2y = 6
4x - 2·0 = 6
4x = 6
x = 1.5
The slope intercept form is: y = mx + b
4x - 2y = 6 {subtract 4x from both sides}
- 2y = - 4x + 6 {dividing both sides by (-2)}
y = 2x - 3 ← slope intercept form
Slope is the number by x, in slope intercept form of line's equation
In triangle Jkl, l = 880 inches, Angle j=63° and Angle k=11°. Find the length of j , to the nearest
inch.
Answers
Answer:
j=816 inch
Step-by-step explanation:
J^+K^+L^=180° (sum of int. angles of triangle)
L^+11+63=180
L^=106°
j/sinJ=l/sinL
j/sin63=880/sin106
j*sin106/sin106=880*sin63/sin106
j=815.6
j=816 inch
Eighty students try out for the school play. Of these students, 60% are given roles in the play. Males are assigned 25% of the roles in the play. How many males have a role in the play?
Answers
Answer:
20
Step-by-step explanation:
(1/4) × 80
=20
there fore, 20 males have role in the pkay
Answer:
Solution in photo :)
Step-by-step explanation:
I give brainlest if you answer my question correctly!
Answers
Answer:
C the third one
Step-by-step explanation:
It is equal to the demo
Select the correct answer. Liam chooses an investment plan that requires him to make an initial investment of $8,000. Then he contributes equal monthly investments of $300 for the next 10 years. What function represents the amount in dollars that Liam has invested in terms of the number of months since he made the initial investment? A. Y = 8,000 − 300x B. Y = -8,000 + 300x C. Y = 8,000 + 300x D. Y = 300 − 8,000x E. Y = 300 + 8,000x
Answers
Answer: C. Y = 8,000 + 300x
Step-by-step explanation:
Given: Initial investment = $8,000
Monthly investment = $300
Let x = the number of months since he made the initial investment.
Y= the amount in dollars that Liam has invested.
Now , Amount invested = Initial investment + (Monthly investment) x ( number of months)
Y = 8000 + 300x
Hence, the required function : Y = 8000 + 300x
So, the correct option is C. Y = 8,000 + 300x
Answer:
The answer is c
Step-by-step explanation:
yuh
Heather is putting money into a savings account. She starts with 450 in the savings account, and each week she adds 60.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Heather has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 13 weeks.
Answers
Answer:
1230
Step-by-step explanation:
60 times 13 you get the answer of 780 then you add 450 to it and boom
Evaluate 16 • 1 + 4(18 ÷ 2 – 9)
Answers
Answer:
16
Step-by-step explanation:
I did this in 7th grade and had the answer but I don't know the steps
Answer: remember PEMDAS (parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division)
answer is 16
Step-by-step explanation:
16×1+4(18÷2−9)
(Multiply 16 and 1 to get 16.)
16+4(18÷2−9)
(Divide 18 by 2 to get 9.)
16+4(9−9)
Subtract 9 from 9 to get 0.
16+4×0
Multiply 4 and 0 to get 0.
16+0
Add 16 and 0 to get 16.
16
Write an equation of the line that passes through (-1,3) and is parallel to the line y = 2x + 2.
y =
Answers
y=2x+b
sub given point in
3=2(-1)+b
3=-2+b
Move -2 to the other side a a positive number
b=5
So the equation of the line is y=2x+5
A painting is on sale at 40% off.the sale price is $320 what was the original price
Answers
Answer:
$533.33
Step-by-step explanation:
$533.33 multiplied by 0.6 = $319.998 which rounds to $320
533.33 ÷ 100 = 5.33 so this is 1 percent
5.33 x 40 = $213.332 which rounds to $213.33
$320 + $213.33 = $533.33
Lashonda has scored 83, 72, 74, and 85 on her previous four tests. What score does she need on her next test so that her average (mean) is 81?
Answers
Answer:
91
Step-by-step explanation:
what is the value of x in the figure
Answers
Answer:
x is 35
Step-by-step explanation:
the two angles are opposite so they are equal
Answer:
x = 35°
Step-by-step explanation:
Vertical Angles
When two lines cross, two pairs of angles are formed. Those who are opposed by the vertex are called vertical angles and they are always congruent.
Congruent angles have the same measure.
Thus, the angle marked as x is opposed to 35° and they have the same measure, thus:
x = 35°
I need help plis I'm struggling in this math problem
Answers
Answer:
D) 13x + 5
Step-by-step explanation:
Combine like terms
Here, 6x and 7x are like terms
5 + 6x + 7x = 5 + 13x
=13x + 5
The image of a point (1, 2) under a translation is (-5, -4) what is the translation vector
Answers
Answer:
u = vector (-6 , -6)
Step-by-step explanation:
u = vector(a , b)
Left (-) 6 units and down (-) 6 units
The translation vector for the image is (-6,-6).
What is a translation vector?A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another. Vectors are given in the form ( x y ) where x is the movement horizontally and y is the movement vertically.
For the given situation,
The image of a point (1, 2) under a translation is (-5, -4) .
The translation vector can be found by calculating the movement horizontally and vertically as
⇒ [tex](-5-1,-4-2)[/tex]
⇒ [tex](-6,-6)[/tex]
Hence we can conclude that the translation vector for the image is (-6,-6).
Learn more about translation vector here
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A biologist investigates the growth of a special flower. It is estimated that
the height (in cm) of the flower is given by f(t) = at² + bt + C, where t is
the number of days passed since the start of the investigation. It is given
that the height of the flower first increases and then decreases.
What is the domain of f(t)?
Answers
Answer:
The domain of this function is:
Domain f(t): t ≥ 0
or
Domain f(t): {x ∈ R | t ≥ 0}
Step-by-step explanation:
Given the function of the height (in cm) of the flower
f(t) = at² + bt + C
Here,
t is the number of days passed since the start of the investigation.f(t) represents the height (in cm)Given that height of the flower first increases and then decreases.
The current function represents the quadratic function because it is of the form. Hence, the graph would be a curve.
f(x) = ax²+ bx + c
where a, b and c are the real numbers and a≠0
Normally the domain of quadratic is the set of all real numbers, but here in this case x-values consist of the time in terms of the number of days.
As the time in terms of a number of days can not be negative. Therefore, we conclude that:
The domain of this function is:
Domain f(t): t ≥ 0
or
Domain f(t): {x ∈ R | t ≥ 0}
Which proof proves this? Legit need help!
Answers
Answer:
Angle B = Angle D
Step-by-step explanation:
If it says it's a reflection, then as long as it's not stretched or shrunk, both sides will be equal across the line of symmetry
5 of the 25 players on the soccer team are 7th graders. Find the Percent of 7th graders
Answers
20%
Step-by-step explanation:
5 divided by 25 multiplied by 100 will give you 20%.
What is the difference of 3.14 and the sum of 5.99 and 0.65?
Answers
Answer:
3.5
Step-by-step explanation:
5.99+0.65=6.64
6.64-3.14=3.5