How to determine the remainder in dividing the polynomial P(x) by a divisor x-1?
Answer:
Calculate P(1)
Step-by-step explanation:
Given
P(x)
[tex]Divisor = x - 1[/tex]
Required
How to determine the remainder
First, you equate the divisor to 0 to solve for x
i.e.
[tex]x - 1 = 0[/tex]
[tex]x = 1[/tex]
Next, substitute 1 for x in P(x)
Then solve for P(1)
Take for instance;
If
[tex]P(x) = x^3 - x^2 - 1[/tex]
Substitute 1 for x
[tex]P(1) = 1^3 - 1^2 - 1[/tex]
[tex]P(1) = 1 - 1 - 1[/tex]
[tex]P(1) = - 1[/tex]
Hence, the remainder is -1
Pls help me also don’t mind “8.”
48/42 = 16/14
a
proportional
b
non-proportional
Answer:
proportional
Step-by-step explanation:
proportional
48/3 = 16
42/3 = 14
As a product development manager, one of your tasks is to determine the best price for an item to increase company profits. To do that, you need to take into account the cost of making the product, the labor of creating the product, and other overhead costs for the company (such as rent, electricity, etc.) If a product uses $14.25 in materials, $3.55 in labor, and $2.15 in overhead costs, what would you need to sell the product for in order to make a 20% profit on the item?
Answer:
$23.95
Step-by-step explanation:
In order to calculate the best selling price we first need to calculate the total amount of costs. Since we are provided with each individual cost we simply need to add these costs together to find the total.
$14.25 + $3.55 + $2.15 = $19.95
Now that we have the total amount of costs, we know that this is the break-even price that the product needs to sell for in order for the company not to lose money. If the company wants to make a 20% profit on each sale then you would need to increase this amount by 20%. This is done by multiplying the total costs by 1.20, which is 20% divided by 100 to turn it into decimal form, and then adding 1 to make it increase the total cost.
$19.95 * 1.20 = $23.95
Therefore, the company needs to sell each item for $23.95 in order to make a 20% profit.
6th grade math i mark as brainliest
Answer:
i think 4 is correct
Step-by-step explanation:
If m<3=105, what is the m<21 that will prove that lines P and R are parallel. please help
Answer: 75°
have: m∠3 = m∠11 = m∠22 = 105°
but m∠22 + m∠21 = 180°
=> m∠21 = 180° - 105° = 75°
Step-by-step explanation:
Simplify (-5)^4•[(-5)²]5• (-5)^4
Answer:
[tex](-5)^{4}.[(-5)^{2}]^{5}.(-5)^{4}=(-5)^{4}.(-5)^{10}.(-5)^{4}=(-5)^{18}[/tex]
Step-by-step explanation:
Answer:
(-5)^18
Step-by-step explanation:
The equation will look like this after you simplify[(-5)^2)^5]
(-5)^4 x (-5)^10 x (-5)^4
Now you add up all the exponents and keep it the same:
(-5)^18
Hope this helps!
what is the slop for
rise: (16,20)
run:(10,20)
Answer:
Slope is 0
Step-by-step explanation:
(20-20/16-10) which is 0
please so one answer need help:)
Andre and Priyabare tracking the number of steps they walk. Andre records that he can walk 6000 steps in 50 minutes. Priya writes the equation y=118x, where y is the number of steps and x is the number of minutes she walks, to describe her step rate. This week, Andre and Priya each walk for a total of 5 hours. Who walks more step?How many more?
Answer:
Andre walks 600 more steps than Priyabare
Step-by-step explanation:
Andre is 36,000 minutes while Priyabare walks 35,400. 1st you get the 6000 steps in 50 minutes from Andre and divide the 6000 by 50 to get 120 which you then multiply by 300 (minutes which is 5 hours) and get 36000. Then for Priyabare you multiply 118 by 300 as well (Again because equals 5 hours) and you will get 35,400 meaning Andre walked 600 more steps if you subtract the two.
Two pounds of onions cost $2.30. At this rate, how much will 5 pounds of onions cost?
Answer:
$5.75
Step-by-step explanation:
Find the unit rate first:
[tex]\frac{2.3 dollars}{2 pounds}[/tex]÷[tex]\frac{2}{2}[/tex]=[tex]\frac{1.15}{1}[/tex]
For every onion, you must pay $1.15. Multiply that by 5 in order to find the cost of 5 pounds of onions. It is $5.75. You can do this with any number to find the cost of any amount of pounds of onions. 4x1.15= 4.60 so the cost of 4 pounds of onions would be $4.60. 6x1.15=6.90 so the cost of 6 pounds of onions would be $6.90. Hope this helps.
Rewrite the equation 3r - 6 = 39 by factoring the side that contains the variable r. Pls help
Answer:
3r=45 or R= 45/3
Step-by-step explanation:
Use Cymath
An inequality is shown below. 3x + 2 > –1 Which of the following shows a model of the inequality and the values of x that make the inequality true?
Answer:
Step-by-step explanation:
The a
Tia is making strawberry lemonade for a baseball tournament. The recipe calls for 2
3
cup of strawberries for each gallon of lemonade. She has 6 cups of strawberries. How many gallons of lemonade can she make?
Tia can make
gallons of strawberry lemonade.
Answer:wow
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
i am pretty sure i could be wrong
conside the system of equations.
X=8-2y
X+3y=12
Answer: Solved using the subsitution method.
Step-by-step explanation:
(X,Y) = (0,4)
So the answer is 0 since X = 0 !
Hope it helped :)
There are 39 students in a class.
10 of the students are female.Find the percentage of the class that are female.
Give your answer to the nearest percent
Answer:
26%
Step-by-step explanation:
10/39 + 100% = 25.64102%
nearest percent, 26%
can you help me please
Answer:
5.
A) 1:2
6.
D) 9 min
Plz make brainlest, THESE ARE THE CORRECT ANSWERRRRSS!
Step-by-step explanation:
5. 12:24
reduce to get 1:2
6. 225/25= 9 min
If 38,433 = 3.8433 x 10m, then m equals ____
PLS HELP
Answer:
m= 38.433
Step-by-step explanation:
what is the answer to this? 5(g+4)>15
Answer:
g > -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(g+4)=15
(5)(g)+(5)(4)=15(Distribute)
5g+20=15
Step 2: Subtract 20 from both sides.
5g+20−20=15−20
5g=−5
Step 3: Divide both sides by 5.
5g/5 = −5/5
G > -1
The solution of the inequality 5(g+4)>15 is g> -1.
Given Inequality:
5(g+4)>15
To solve the inequality, divide the inequality by 5
5(g+4) / 5 >15 / 5
g + 4 > 3
Now, subtract 4 from both side of inequality as
g + 4 - 4 > 3-4
g > -1.
Therefore, the solution is g > -1.
Learn more about Inequality here:
https://brainly.com/question/20383699
#SPJ6
a video store membership costs $21 and members pay $2.50 for each video. if one one member paid $46 for their membership and their videos how many videos did they buy? PLEASE show your work
Answer:
46 / 5 + 9.2 so 9 videos
Step-by-step explanation:
Answer:
10 movies.
Step-by-step explanation:
46-21=25.
25 divided by 2.5 = 10
A Salt Marsh Harvest Mouse ran a 360 centimeter straight course race in 9 seconds. How fast did it run?
Answer: 40 Centimeters per second
Step-by-step explanation:
360/9 = 40
Please help me and I’ll give you brainiest make sure to explain :) !!
Thanks!!!!
Answer:
{y,x}={1,3}
Step-by-step explanation:
[1] y - 2x/3 = -1
[2] y + x = 4
// To remove fractions, multiply equations by their respective LCD
Multiply equation [1] by 3
// Equations now take the shape:
[1] 3y - 2x = -3
[2] y + x = 4
8-7x- x2 x+5/х+8 9x -9
Every step on how you got your answer.
Answer:11
Step-by-step explanation:
1. 1. Un botellón de agua se ofrece al público en vasos de 0,12 litros. Si del botellón se pueden servir 45 vasos, la cantidad de agua que cabe en el botellón esUn botellón de agua se ofrece al público en vasos de 0,12 litros. Si del botellón se pueden servir 45 vasos, la cantidad de agua que cabe en el botellón es: a) 54 litros b) 12 litros c) 5,4 litros d) 0,54 litros
Answer:
c) 5,4 litros
Step-by-step explanation:
Un vaso de agua contiene 0,12 litros de agua.
Una botella contiene 45 vasos de agua.
El volumen completo de agua de la botella se distribuye en 45 vasos por igual.
Entonces,
[tex]0.12\ \text{L}\times 45=5.4\ \text{L}[/tex]
Por lo tanto, la cantidad de agua en la botella que se puede usar para servir 45 vasos es de 5.4 L.
am i right ? plz answer
Answer:
yes
Step-by-step explanation:
For the following function (a) tell whether it would open up or down on a graph, (b) find the vertex, and (c) find the axis of symmetry.
Answer:
a: down b: (1.25, 0.125) c: x=1.25
Step-by-step explanation:
Use a graphing calculator to see the graph and determine answers.
Triangle ABC is shown with its inscribed circle drawn. The measure of angle ECF is 72 degrees. What is the measure of angle EGF? Explain or show your reasoning.
Answer:
108°
Step-by-step explanation:
CB and CA are tangents to the circle at points E and F respectively. GE and GF are radii of the circle with center G.
Since, radii of a circle are perpendicular to the tangents at the point of contacts.
[tex] \therefore GE \perp CB\\\\
\& \:GF \perp CA\\\\
m\angle GEC =m\angle GFC = 90\degree \\\\[/tex]
In quadrilateral GECF, by interior angle sum property:
[tex] m\angle C + m\angle E + m\angle F + m\angle EGF = 360\degree \\\\
\therefore 72\degree + 90\degree + 90\degree + m\angle EGF = 360\degree \\\\
\therefore 252\degree + m\angle EGF = 360\degree \\\\
\therefore m\angle EGF = 360\degree - 252\degree \\\\
\therefore m\angle EGF = 108\degree \\[/tex]
Answer:
108°Step-by-step explanation:
Since GE ⊥ BC and GF ⊥ AC,∠GEC = ∠GFC = 90°Sum of 4 angles is 360°, therefore:
∠ECF + ∠EGF = 360° - 180°∠EGF = 180° - 72° ∠EGF = 108°The sim of five times a number and four is equal to negative seven what is the number
e
Write an expression, in terms of n, for the number Oditi gets when she:
a adds 1 to the number
b subtracts 10 from the number
c multiplies the number by 100
d divides the number by 1000
multiplies the number by 2 then adds 3
f divides the number by 4 then subtracts 5
8 multiplies the number by 6 then subtracts 7
h divides the number by 8 then adds 9
i divides 1 by the number then subtracts
i divides 10 by double the number
k adds 20 to the number then multiplies the result by 3
subtracts 3 from the number then multiplies the result by 20.
2 Write an expression, in terms of .x, for the perimeter of each shape.
Write each expression in its simplest form.
b
5x - 4
3x
*+5
d
3x-2
с
x + 5
5x - 2
Answer: can you rewrite it I don't understand so rewrite so I can help you....
Step-by-step explanation:
GIVEN: LJ || WK || AP, PL || AG.
PROVE: Angle 1 is congruent to angle 2
#12 pleaseee
20 points!!
Answer:
∠1 ≅ ∠2 ⇒ proved down
Step-by-step explanation:
#12
In the given figure
∵ LJ // WK
∵ LP is a transversal
∵ ∠1 and ∠KWP are corresponding angles
∵ The corresponding angles are equal in measures
∴ m∠1 = m∠KWP
∴ ∠1 ≅ ∠KWP ⇒ (1)
∵ WK // AP
∵ WP is a transversal
∵ ∠KWP and ∠WPA are interior alternate angles
∵ The interior alternate angles are equal in measures
∴ m∠KWP = m∠WPA
∴ ∠KWP ≅ ∠WPA ⇒ (2)
→ From (1) and (2)
∵ ∠1 and ∠WPA are congruent to ∠KWP
∴ ∠1 and ∠WPA are congruent
∴ ∠1 ≅ ∠WPA ⇒ (3)
∵ WP // AG
∵ AP is a transversal
∵ ∠WPA and ∠2 are interior alternate angles
∵ The interior alternate angles are equal in measures
∴ m∠WPA = m∠2
∴ ∠WPA ≅ ∠2 ⇒ (4)
→ From (3) and (4)
∵ ∠1 and ∠2 are congruent to ∠WPA
∴ ∠1 and ∠2 are congruent
∴ ∠1 ≅ ∠2 ⇒ proved
if 3/4 = x/8, then x is equal to
Answer:
6
Step-by-step explanation:
Answer:
6. i have this question in my online class
Step-by-step explanation:
hope this helps!
ik im late but- the pointssss