When X=3 a polynomial has a value of 61 and when X=3 a value of 143.
Given that,
Let p(x)=3x²−4x²+7x−5 is our polynomial.
Polynomials are algebraic expressions made up of coefficients and variables. Occasionally, variables are referred to as indeterminates. For polynomial expressions, addition, subtraction, multiplication, and positive integer exponents are all possible; however, division by variable is not. x2+x-12 is an illustration of a single-variable polynomial. Three terms are involved in this example: x2, x, and -12.
Substitute x=3 in above expression,
∴p(3)=3(3) 3−4(3) 2 +7(3)−5
=3(27)−4(9)+21−5
=81−36+21−5
=61
Now,
p(−3)=3(−3)
3 −4(−3) 2 +7(−3)−5
=3(−27)−4(9)−21−5
=−81−36−21−5
=−143
So, value of polynomial when X=3 is 61 and when x=−3 is −143
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Each row contains the degree measures of two supplementary angles. Complete the table.
the measure of an angle measure of its supplement
80°
°
25°
°
119°
°
x
°
(From Unit 7, Lesson 2)
Answer:
Step-by-step explanation:the answer will be 100
Adrian and Cyrus volunteer for a community service organization the number of hours shown. Cyrus has already volunteered 8 hours when Adrian begins to volunteer. a. After how many weeks will they both have volunteered the same number of hours? How many hours will each of them have volunteered at that time? Show your work.
The number of weeks after which they both have volunteered the same number of hours is 4 weeks. The amount volunteering time they'd have volunteered till that week is 16 hours.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Given that:
Cyrus has already volunteered 8 hours when Adrian begins to volunteerAdrian volunteer 4 hours per weekCyrus volunteer 2 hours per week.Let the number of weeks after which they both have volunteered the same number of hours be 'w' weeks.
Now, as Adrian volunteer 4 hours per week, then in w weeks, he'd have volunteered [tex]4 \times w[/tex] hours.
Also, as Cyrus already volunteered 8 hours, and then for w weeks, he volunteered 2 hours per week, so the number of hours he volunteered is: [tex]2 \times w + 8[/tex]
We had assumed that after w weeks, their volunteer time is same, so we can equate these amount of volunteering hours, as shown below:
[tex]4\times w= 2\times w + 8\\4w = 2w + 8[/tex]
(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Subtracting 2w from both the sides, we get:
[tex]4w -2w = 8\\(4-2)w = 8\\2w = 8[/tex]
Dividing both the sides by 2, we get w on one side, rest of the constants on the other side, as:
[tex]\dfrac{2w}{2} = \dfrac{8}{2}\\\\w = 4[/tex]
Thus, the number of weeks after which they both have volunteered the same number of hours is w = 4 weeks.
Now, evaluating any of those expressions to get the number of hours each of them volunteered till 4th week:
[tex]4w |_{w=4} = 4 \times 4 = 16 \: \rm hours\\2w +8|_{w=4} = 2(4) + 8 = 8+8 = 16 \: \rm hours[/tex]
(see, these are equal amount of time).
Thus, the number of weeks after which they both have volunteered the same number of hours is 4 weeks. The amount volunteering time they'd have volunteered till that week is 16 hours.
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A pair of shoes costs $60, and is on sale for 35% off. What is the sales price of the shoe
Answer:
$39
Step-by-step explanation:
13 and 14 pls help :))
Answer:
1st and 2nd options
Step-by-step explanation:
Using the method of completing the square to obtain standard form
(13)
Rearrange the given equation so x and y terms are together, that is
x² + 24x + y² + 30y + 353 = 0 ( subtract 353 from both sides )
x² + 24x + y² + 30y = - 353
To complete the square
add ( half the coefficients of the x/ y term)² to both sides
x² + 2(12)x + 144 + y² + 2(15)y + 225 = - 353 + 144 + 225
(x + 12)² + (y + 15)² = 16
(x + 12)² + (y + 15)² = 4² ← in standard form
with centre = (- 12, - 15 ) and radius = 4
---------------------------------------------------------------------
(14)
As in number 13
x² - 22x + y² + 16y = - 181
Complete the square
x² + 2(-11)x + 121 + y² + 2(8)y + 64 = - 181 + 121 + 64
(x - 11)² + (y + 8)² = 4
(x - 11)² + (y + 8)² = 2² ← in standard form
with centre = (11, - 8 ) and radius = 2
2 (y-4) -5(y+8) = 0
its multi step equation and i still can't figure out how to do this
Answer:
y=-16
Step-by-step explanation:
2(y-4)-5(y+8)=0 (distribute the 2 and the negative 5)
2y-8-5y-40=0 (combine like terms)
-3y-48=0 (add 48 to both sides)
-3y=48 (divide both sides by -3)
y=-16
Hope this helps :)
A school principal wants to find out what the students think about the teaching
quality in the school. Which of these samples is unbiased?
Hello! please help ! Find the exact perimeter of hexagon A B C D E F plotted below.
Answer:
23 + [tex]\sqrt{29}[/tex] + [tex]\sqrt{58}[/tex]
Step-by-step explanation:
This hanger is in balance. There are two labeled weights
of 8 grams and 20 grams. The four circles each have
The same weight. What is the weight of each circle, in
grams?
Answer:
3g
Step-by-step explanation:
We know that
20g = 8g + 4 * r
where r is the weight of a single red circle.
20g = 8g + 4 * r
12g = 4 * r
3g = r
HEY THERE! PLS HELP ME WITH THIS MATH QUESTION- AN EXPLANATION WOULD BE GREAT! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND ACHIEVE POINTS! THANKS :)
xoxo
Answer:
105
Step-by-step explanation:
To find area, you have to multiple the width by the height.
15*7=105.
Answer:
Area = 2307.9 cu.cm
Step-by-step explanation:
Height of the cylinder (h) = 15cm
radius (r) = 7 cm
we know ,
[tex]area \: of \: cyliner = \pi {r}^{2} \times h \\ \: \: \: \: = 3.14 \times {(7cm)}^{2} \times 15cm \\ \: \: = (3.14 \times 49 \times 15) {cm}^{3} \\ = 2307.9 {cm}^{3} [/tex]
Solve each inequality. Graph the solution on a number line. 2q<26
q<13
Step-by-step explanation:
2q is less than 26 so 1q has to be less than half of 26 or 13.
q<13
Can someone solve for me please? Simply each expression. I myst show work
Answer:
37/20y
you find LCM first
Which expression is equivalent to
Answer:
the answer is B 1/x^2
Step-by-step explanation:
Answer:
B) 1/x²
Step-by-step explanation:
does anyone know what lazor wulf is? if so send me a picture
Answer:
I think its like a cartoon or something like that
https://hbomax-images.warnermediacdn.com/images/GXyniGAhmEcJZOgEAAABz/tileburnedin?size=1280x720&format=jpeg&partner=hbomaxcom&productCode=hbomax&host=artist.api.cdn.hbo.com&w=1200
there image I think
What are the solutions to the equation (2x – 5)(3x – 1) = 0?
x = 5/2 or x = 1/3
C is the answer.
Answer:
x = 5/2 or x = 1/3
Step-by-step explanation:
Simplify
( 2 x − 5 )( 3 x − 1 ) .
6 x 2 − 17 x + 5 = 0
Use the quadratic formula to find the solutions.
[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
Substitute the values a = 6 , b = − 17 , and c = 5 into the quadratic formula and solve for x .
17 ±sqrt(-17)^2-4*(6*5)
_________________
2*6
Simplify.
x = 17 ± 13 /12
The final answer is the combination of both solutions.
x = 5 /2 , 1 /3
tell whether the angles are complementary or supplementary. Then find the value of x
Answer:
12) complementary, x=15
13) complementary, x = 35
x+ (x-20) = 90
x+x+20=90
2x=70
x=35
14) supplementary, x=31
2x+3x+25=180
5x=155
x=31
15) <1 = 130 degrees
<2 = 50 degrees
<3 = 130 degrees
16) x=53
x+2x+21=180
3x=159
x=53
Write both an explicit equation and a recursive equation for the sequence 4, 2, 1.0.5.0.25
help pleasee
Answer:
Step-by-step explanation:
This is a geometric sequence with first term a1 = 2 and common ratio r = 0.5.
an = a1 r^^n-1)
an = 2(0.5)^(n-1).
Recursive equation:
an = 0.5a(n-1) where n > 2
|x+5|=x
Solve these equations
Answer:
do yourself a favor and download photomath. It'll save your life
Step-by-step explanation:
When Brad was born, his Grandma put, $1,500 in a new account for him. Since then, the balance of the account, has grown by 6.5% each year with no other deposits or withdrawals. Now Brad is 18 and can withdraw the money. If he decides to wait until his 21st birthday, how much more money will be in the account?
Answer:
$969.04
Step-by-step explanation:
now at age of 18 Brad has 1500 * 1,065^18
at age of 21 he will have 1500 * 1,065^21
if he waits the difference will be 1500 * 1,065^21 - 1500 * 1,065^18 = $969.04
An amount of $292.5 will be more if the money is taken after 21st birthday that that in 18th birthday.
What is Simple Interest?Simple interest is defined as the interest obtained over the principal amount on a certain rate.
Given that,
Principal amount, P = $1500
Rate of interest, r = 6.5% = 0.065
The final amount in a simple interest is,
A = P (1 + rt), where t is the number of years.
After 18 years,
Amount = 1500 [1 + (0.065 × 18)]
= 1500 × 2.17
= $3255
After 21 years,
Amount = 1500 [1 + (0.065 × 21)]
= 1500 × 2.365
= $3547.5
Difference = $3547.5 - $3255 = $292.5
Hence the difference of the amount is $292.5.
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Find the surface area of a sphere with a diameter of 14
Answer:
SA = 615.44
Step-by-step explanation:
d = 14
r = d/2
r = 7
SA of a Sphere:
SA = 4πr²
SA = 4(3.14)(7²)
SA = 4(3.14)(49)
SA = 12.56(49)
SA = 615.44
You can represent the measures of an angle and its complement as x° and (90 - x)°. Similarly, you can represent the measures of and angle and is supplement as x° and (180 - x)°. Use these expressions to find the measure of the angles described. The measure of the supplement of an angle is three times the measure of its complement. The measure of the angle is________ degrees, the measure of its complement is degrees, and the measure of its supplement is ________degrees.
Answer:
The angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°
Step-by-step explanation:
Let the angle be equal to x°. We know that
[tex](180 - x) = 3(90- x)[/tex]
Therefore, solving for x, we have
[tex]180 - x = 270 - 3x \\ 2x = 90 \\ x = 45[/tex]
So the angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°
please help this is confusing:(
Solve for x. Write both solutions, separated by a
comma.
9x^2+ 3x – 2 = 0
Answer:
x=1/3, x=-2/3
Step-by-step explanation:
9x^2 +6x -3x -2=0
6x and -3x add up to 3x. You need four terms to factor.
Then you factor=
3x(3x+2)-1(3x+2)=0
(3x-1)(3x+2)=0
Then you can make two equations
3x-1=0 and 3x+2=0 because to multiply to get 0, at least one will be 0.
3x-1=0
3x=1
x=1/3
3x+2=0
3x=-2
x=-2/3
So your answers are x=1/3, x=-2/3
hope this helps!
A group of friends were working on a student film. They spent all their budget on equipment and costumes. They spent $737 on equipment, and 33% of the total budget on costumes. What was the total budget for their student film?
Answer:
Budget= $1,100
Step-by-step explanation:
Giving the following information:
They spent $737 on equipment and 33% of the total budget on costumes.
If they spent all their budget on equipment and costumes, then the percentage spent on equipment was 67% (100 - 33).
Then, to calculate the total budget, we need to use the following formula:
Budget= 737 / 0.67
Budget= $1,100
mr costa randomly surveyed 20 students as they walk throught the front door of the elementary school and found that 8 of them were buying hot lunch.If there are 430 students at this elementary school,how many would you expect to buy lunch?
tysmT-T
Answer:
172
Step-by-step explanation:
8/20 = x/430
8(430) = 3,440 = 20x/20
3,440/20 = 172
Ik it's complicated but you'll get it & your so very welcome.
Rashon left his house to go
to his office. He walked 30 m east and 40 m north.
How far is Rashon's office
from his house?
Answer:
70
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
The graph of which function has a y-intercept of 3?
5
4
3
4
-5 -4 -3 -2 -1
2
2
4
5
x
I PT 9
The manager of a school store orders 250 pencils at the beginning of the
school year to sell to students. The function f(x) = 250 – 7x represents the
number of pencils remaining after I days of school.
How many pencils are remaining after 14 days of school?
Answer:
152 pencils remain after 14 days of school.
Step-by-step explanation:
Replace x in this formula with 14 (14 days):
f(14) = 250 - 7(14) = 250 - 98 = 152
152 pencils remain after 14 days of school.
Answer:...
Step-by-step explanation:
please help!!!No links
Answer:
is 53
heart if it helped brain if im cooll
At the school pay students can attend for only $7, but for aduts it costs $10
Answer:
question? I don't understand
Answer:
7s + 10a
Step-by-step explanation:
I don't see a question so I just answered with a formula...
pls help fast
Alyssa wants to buy a computer for $600. If she
pays $75 now and $25 each month, she can pay
for it in 21 months. If she were to pay $75 now
and $35 each month, how would the number of
payments change?
A She would make 15 fewer monthly payments.
B She would make 3 fewer monthly payments.
C She would make 5 fewer monthly payments.
D She would make 6 fewer monthly payments.
Answer:
D
she would make 6 fewer monthly payments
Step-by-step explanation:
:)