Answer:
We conclude that option A is true as x = 1 is the root of the polynomial.
Step-by-step explanation:
Given the polynomial
[tex]f\left(x\right)\:=\:x^2\:+\:2x^2\:-\:x-2[/tex]
Let us determine the root of the polynomial shown below.
[tex]\:0=\:x^2\:+\:2x^2\:-\:x-2[/tex]
[tex]0=3x^2-x-2[/tex]
switch sides
[tex]3x^2-x-2=0[/tex]
as
[tex]3x^2-x-2=\left(3x+2\right)\left(x-1\right)[/tex]
so the equation becomes
[tex]\left(3x+2\right)\left(x-1\right)=0[/tex]
Using the zero factor principle
[tex]3x+2=0\quad \mathrm{or}\quad \:x-1=0[/tex]
solving
[tex]3x+2=0[/tex]
[tex]3x=-2[/tex]
[tex]\frac{3x}{3}=\frac{-2}{3}[/tex]
[tex]x=-\frac{2}{3}[/tex]
and
[tex]x-1=0[/tex]
[tex]x=1[/tex]
The possible roots of the polynomial will be:
[tex]x=-\frac{2}{3},\:x=1[/tex]
Therefore, from the mentioned options, we conclude that option A is true as x = 1 is the root of the polynomial.
A soccer field is 180 feet wide and 240 feet long. Coach Smith wants them to run from one corner to the other corner diagonally across. What is the distance that Coach Smith wants them to run? (Round to the nearest foot)
Answer:
300ft
Step-by-step explanation:
Pythagorean Theorem
180²+240²=c²
32400+57600=c²
90,000=c²
√90,000=c
300=c
Compare ratios and rates by finding equivalent ratios and rates with a common (select) . Make predictions by finding a common factor and multiplying by it.
Answer:
Second termCommon factorStep-by-step explanation:
Compare ratios and rates by finding equivalent ratios and rates with a common second term . Make predictions by finding a common factor and multiplying by it.
To compare ratios and rates favorably we need to find a common second term also to make predictions as well we need to find a common factor
Solve for w:
(w-4/9)(-2/3)= -4/5
Which table made this graph?
Answer:
III
Step-by-step explanation:
Number 3 did. The contains the (-1,1) and (5,-2)
Answer:
lll
Step-by-step explanation:
its the number 3 so A
What is the value of y?
39
34
16
20
one of those number is the answer
Answer:
20
Step-by-step explanation:
we see here that angle RPN is 180 degrees. SPM is 90 degrees so
angle RPS + angle SPM + angle MPN = 180 degrees
(4y - 10) + 90 + y = 180
(4y - 10) + y = 90
5y - 10 = 90
5y = 100
y = 20
Which deal is a better buy? How do you know? True-Mart is advertising a back-to-school sale on pencils. A pack of 30 sells for $7.97, whereas a 12 pack of the same pencils cost $4.77
Answer:
a pack of 30 is a better deal
Step-by-step explanation:
you know because if you were to double 12 to get to 24 and doubled that same price it would cost more than 30 pencils and you would get less
what is 54.873015873 rounded to the nearest hundereth please help
Answer:
54.87
Step-by-step explanation:
What is the solution to the system of linear equations graphed below? On a coordinate plane, 2 lines intersect at (3.5, negative 4). (3 and one-half, negative 4) (Negative 4, 3 and one-half) (0, 3) (0, negative 4)
Answer:
Step-by-step explanation:
the answer is C just did the quiz
Answer:
its D i got it right on edge if there are any probs just tell me and i ll edit mark me brainleiest and hart and five stars please
Step-by-step explanation:
|2x-8| + 3 = 5 two solutions
Answer:
The two solutions are 5 and 3
Step-by-step explanation:
The equation of the absolute has two solutions because IxI = a means x = a and x = -a
Let us solve the question using this fact
∵ I2x - 8I + 3 = 5
→ Subtract 3 from both sides
∴ I2x - 8I + 3 - 5 = 5 - 3
∴ I2x - 8I = 2
By using the fact above
→ 1st solution
∵ 2x - 8 = 2
→ Add 8 to both sides
∴ 2x - 8 + 8 = 2 + 8
∴ 2x = 10
→ Divide both sides by 2 to find x
∴ x = 5
→ 2nd solution
∵ 2x - 8 = -2
→ Add 8 to both sides
∴ 2x - 8 + 8 = -2 + 8
∴ 2x = 6
→ Divide both sides by 2 to find x
∴ x = 3
∴ The two solutions are 5 and 3
How to cross multiply
2 3/4 divided by 21=
Answer:
11/84
Step-by-step explanation:
first make 2 3/4 a mixed number and multiply 11/4
by 1/21 and you get 11/84
The 9 planets volumes
Answer:
Rank Name Volume (cubic km)
1 Sun 1.409 x 1018
2 Jupiter 1.43128 x 1015
3 Saturn 8.2713 x 1014
4 Uranus 6.833 x 1013
5 Neptune 6.254 x 1013
6 Earth 1.08321 x 1012
7 Venus 9.2843 x 1011
8 Mars 1.6318 x 1011
9 Mercury 6.083 x 1010
10 Moon 2.1958 x 1010
11 Pluto 7.15 x 109
Source: NASA
Answer:
Volume of the Planets and the Sun. Volume of the Planets and the Sun. Rank, Name, Volume (cubic km). 1. Sun, 1.409 x 1018. 2. Jupiter, 1.43128 x 1015. 3.
Step-by-step explanation:
‼️BRAINLIEST‼️ Samiha has a babysitting buisness that she earns $8 per hour she babysits. She already has $62. She wants to earn enough money to buy a new phone for $350. Write an equation that represents how many hours she needs to babysit to earn the money to pay the phone?
Answer: 350-62= 288 288 divided by 8= 36
Step-by-step explanation:
how to solve 9x-2 × 27x=3
[tex] { {9}^{} }^{ x - 2 } .27 {}^{x} = 3[/tex]
Answer:
x = 1
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
Note that 9 = 3² and 27 = 3³ , thus
[tex]9^{x-2}[/tex] × [tex]27^{x}[/tex]
= [tex](3^2)^{x-2}[/tex] × [tex](3^3)^{x}[/tex]
= [tex]3^{2x-4}[/tex] × [tex]3^{3x}[/tex]
= [tex]3^{(2x-4+3x)}[/tex]
= [tex]3^{5x-4}[/tex] , then
[tex]3^{5x-4}[/tex] = [tex]3^{1}[/tex]
Since the bases on both sides are equal, equate the exponents
5x - 4 = 1 ( add 4 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Solve the equation.
6(x−2)= −18
x=
Answer:
x = -1
Step-by-step explanation:
Distribute the 6
Then add 12 to both sides
Next divide both sides by 6
Your answer should be -1. :)
6x-12= -18
+12 +12
6x= -6
/6 /6
x= -1
The polynomial p(x)=3x^3-20x^2+37x-20p(x)=3x 3 −20x 2 +37x−20p, left parenthesis, x, right parenthesis, equals, 3, x, cubed, minus, 20, x, squared, plus, 37, x, minus, 20 has a known factor of (x-4)(x−4)left parenthesis, x, minus, 4, right parenthesis. Rewrite P(x) as a product of linear factors
Answer:
(x-4)(3x-5)(x-1)
Step-by-step explanation:
you shouldn't need much of an explantion
The polynomial P(x) = 3x^3-20x^2+37x-20 as a product of linear factors is P(x) = (3x - 5)(x - 1)(x - 4)
How to express as linear factors?The polynomial is given as:
P(x) = 3x^3-20x^2+37x-20
The factor is given as: x - 4
This means that:
P(x)/x - 4 = 3x^3-20x^2+37x-20/x - 4
Factorize the numerator
P(x) = (3x - 5)(x - 1)(x - 4)/(x - 4)
Cancel out the common factors
P(x) = (3x - 5)(x - 1)(x - 4)
Hence, the polynomial P(x) = 3x^3-20x^2+37x-20 as a product of linear factors is P(x) = (3x - 5)(x - 1)(x - 4)
Read more about polynomials at:
https://brainly.com/question/2833285
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you have 3 bottles of lotion each bottle contains 3.78 mL 4.52 mL and 2.72 mL of lotion how much lotion do you have in total.
Answer:
11.02
Step-by-step explanation:
use a calculator? add the 3 numbers up
(8x+2+(-9x+6) combine terms with varibiles plz help
Answer:
-x + 8
General Formulas and Concepts:
Algebra I
Combining like termsStep-by-step explanation:
Step 1: Define expression
(8x + 2) + (-9x + 6)
Step 2: Simplify
Combine like terms (x): -x + 2 + 6Combine like terms (Z): -x + 8Select the correct answer what is the range of the function shown in the graph?
Answer:
In the step by step
Step-by-step explanation:
Graph 1 : k(x)=(1/4)^x
Graph 2: f(x)=-(1/4)^x
Graph 3: g(x)=4^x
Graph 4: h(x)=-4^x
In a multiple choice examination of 20 questions, four marks are given for each correct answers and one mark is deducted for each wrong answer. There is no penalty for not attempting a question. a candidate attempts "a" questions and get "c" correct. Write down, and simplify, an expression for the candidate's total mark in terms of "a" and "c".
Step-by-step explanation:
Total no. of questions = 20
Marks given for a correct answer = 4
Marks deducted for a wrong answer = 1
No. of questions attended by the candidate = a
No. of questions the candidate gets correct = c
No. of questions the candidate gets wrong = a - c
Marks obtained for correct answers = 4c
Marks deducted for wrong answers = 1 (a - c)
Total marks scored by the candidate =
Marks obtained for correct answers - Marks deducted for wrong answers
Total marks scored by the candidate = 4c - 1 (a - c)
= 4c - a + c
= 5c - a
geometry please help only if you know
1. Pick 1 or 2 Geometric Constructions to create (depending on point values) that add to 10 points.
2. You'll need paper (blank paper without lines is best, but you can do these on lined paper too), your compass, and straight edge.
3. Include any vocab for your construction.
4. Once you have completed the constructions, take a picture of your completed construction. This is how you will get your points this week!
By the way, this must be an actual construction made with your tools. I can definitely tell if you just try to draw something that looks right without using your tools!
Answer:
Bro just complete your project. That's just plagiarism.
Step-by-step explanation:
Sorry but the teacher WILL notice.
What is the value of the function at x = -2?
(a) y=-4
(b) y=0
(c) y=2
(d) y=3
Answer:
(d) y=3
Step-by-step explanation:
To find this, look on the plane where x=-2 and find where the line itersects. It intersects at 3, so the correct answer is y=3.
What is the value of x? Enter your answer in the box. x =
Z=24 Y=5 degrees X=?
Answer:
t⅝ a femal for the rest and I have no
Write an equation for the line parallel to the given line that contains C.
C(-3,6); y=8/9x-2
Step-by-step explanation:
y = 8x/9 - 2
therefore m = 8/9
x1 = -3
y1 = 6
from, y - y1 = m(x-x1)
y - 6 = 8/9(x+3)
y-6 = 8x/9 + 8/3
y - 8x/9 -26/3 = 0 (×9)
9y - 8x -78 = 0
if the function f(x)=3x^2-5 and has the domain {-4,-3,1,5}, what is its range?
A. {4, 76, 139, 220}
B. {-29, -23, 1, 25}
C. {-2, 22, 43, 70}
D. {-17, -14, -2, 10}
Course: Algebra 1 (American 9th Grade Lvl)
4.(03.02)
If g(x) = 3(x - 2), find the value of x if g(x) = 6. (2 points)
12
hy 2.6
Answer:
The value of x = 4 if g(x) = 6
Step-by-step explanation:
Given the function
[tex]g(x) = 3(x - 2)[/tex]
as
[tex]g(x) = 6[/tex]
so putting the value of [tex]g(x) = 6[/tex] in the function
[tex]g(x) = 3(x - 2)[/tex]
[tex]6 = 3(x-2)[/tex]
Switch sides and divide both sides by 3
[tex]\frac{3\left(x-2\right)}{3}=\frac{6}{3}[/tex]
[tex]x-2=2[/tex]
[tex]x=4[/tex]
Therefore, the value of x = 4 if g(x) = 6
a number that multiplies to 30 and adds up to 13
Answer:
3 and 10
Step-by-step explanation:
what is the slope of the line that passes through the points (5 -11) and (-9 17)
Answer:
A. -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, -11)
Point (-9, 17)
Step 2: Find slope m
Substitute: [tex]m=\frac{17+11}{-9-5}[/tex]Add/Subtract: [tex]m=\frac{28}{-14}[/tex]Divide: [tex]m=-2[/tex]A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost $18.80. Unfortunately, breaks 3 more panes while repairing the damage. What is the cost of another 3 panes of glass?
Answer:
Step-by-step explanation:
The cost of another 3 panes of glass would be
Solution:
Given, Number of panes of glass bought = 8
Cost of 8 panes of glass =
Number of broken panes of glass = 3
We have to find the cost of 3 panes of glass
By unitary method, If 8 panes of glass costs , then the cost of one pane of glass will be as follows,
Therefore, for 3 panes of glass it would be
Unitary method:
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value. In essence, this method is used to find the value of a unit from the value of a multiple, and hence the value of a multiple.
Helen spent $7.75 to purchase 23 snack-sized bags of chips c and pretzels p for a club meeting. The following system represents this solution.
{c+p=23
{0.25c+0.5p=7.75
How many of each type of snack did Helen buy?
Answer:
pretzels = 8
chips = 15
Step-by-step explanation:
{ c + p = 23
{ 1/4c + 1/2p = 7.75
Both sides * 4
c + 2p = 31
- c + p = 23
p = 31 - 23 = 8
pretzels = 8
chips = 15
2.81551 nearest hundredth
2.82 is the nearest hundredth.
Hope this helps.