[tex]f(x) = {x}^{3 } + {3x}^{2} - 9x + 5[/tex]
which of the following are roots of a polynomial function?
check all that apply
a[tex]1 - \sqrt{3} [/tex]
b
[tex]1 + \sqrt{3} [/tex]
c
[tex] - 5[/tex]
D
[tex]3 - \sqrt{2} [/tex]
E
[tex]3 + \sqrt{2} [/tex]
F
[tex]1[/tex]
Answer:
[tex]f(1) = {(1)}^{3} + 3 {(1)}^{2} - 9(1) + 5 \\ (x - 1) = 0 \rightarrow \: x = 1 \\\frac{{x}^{3 } + {3x}^{2} - 9x + 5}{x - 1} = {x}^{2} + 4x - 5 \\ (x + 5)(x - 1) = 0 \\ x = - 5 \: or \: x = 1 \\ \color{red}\boxed{x_{1} = 1} \\\color{yellow} \boxed {x_{2} = 1} \\ \color{green}\boxed{x_{3} = - 5} [/tex]
The answer would be C and F
Answer: 1 & -5
Step-by-step explanation
Karen, Trey, and Dante have a total of 75 in their wallets. Karen has 5 more than Trey. Dante has 2 times what Karen has. How much do they have in their wallets?
Answer: Karen has 20, Trey has 15, Dante has 40
Step-by-step explanation:
Karen=x+5 Trey=x Dante=2x+10
x+x+5+2x+10=75
4x+15=75
4x=60
x=15
Pratima attends dance classes every 6 days, singing
classes every 4 days, and yoga classes every 16 days. If
.
she does all three activities today, in how many days will
she do all the three activities again on the same day?
PLEASE SHOW YOUR WORK
Using the least common factor, it is found that she will do all the three activities again on the same day again in 48 days.
She sings every 4 days.She attends dance classes every 6 days.She has yoga classes every 16 days.To find how many days it takes so that she will do all the three activities again on the same days, we have to find the least common factor of 4, 6 and 16.
It is done factoring them using prime factors, then:
4 - 6 - 16|2
2 - 3 - 8|2
1 - 3 - 4|2
1 - 3 - 2|2
1 - 3 - 1|3
1 - 1 - 1
Hence:
lcm(4,6,8) = 2x2x2x2x3 = 48
She will do all the three activities again on the same day again in 48 days.
To learn more about the least common factor, you can take a look at https://brainly.com/question/25924269
The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1.
Part A: Write a sentence to describe the number of cups of red paint that Garcia mixed with each cup of yellow paint. (4 points)
Part B: How many cups of yellow paint should Garcia add to each cup of red paint to make the shade of orange? Explain your reasoning. (4 points)
Part C: If Garcia purchased 6 cups of red paint for $42, what is the unit price per cup of red paint? (2 points)
Pls answer i need help
Answer:
Uggghhh
Step-by-step explanation:
I dont know
Answer:
Part A: Garcia mixed 4 cups of red with 1 cup of yellow.
Part B: 1/4 because 4 cups of red requires 1 cup of yellow, so 1 divided by 4 is 1/4.
Part C: $7
Hope this helps! :)
Step-by-step explanation:
When h = π, the orange graph shifts
units to the
.
Answer: it shifts units to the right.when h=-π it shifts units to the left
Step-by-step explanation: positive pi goes to the right, negative to the left
Joshua cashed a check for $16.79he asked the teller to give him as many quarters as possible .how many quarters did he get
Answer:
67 quarters
Explanation:
Can someone please explain step by step on how I get my answer of [30% of 15?]
Answer: 4.5
Step-by-step explanation:
30% is equal to 30/100, which is 0.3
If you times 0.3 by 15, you will get 30% of 15
Therefore the answer would be 0.3 x 15 = 4.5
Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′. If the slope of is -2, what is the slope of ?
A.
-4
B.
-1
C.
-2
D.
0
Answer:
The slope is -2.
Answer is C
Answer:
the answer is c. -2
Step-by-step explanation:
Divide 63.5 ÷ 0.25 round the quotient to the nearest ten-thousandth
Answer:
254
Step-by-step explanation:
63.5 ÷ 0.25 =
= 63.5 ÷ 1/4
= 63.5 × 4
= 254
Answer: 254.
what is the expression to 50 times the sum of 64 and 36
Answer:
50(64+36) this would be your answer
50 x (64+36)
Step-by-step explanation:
According to PEMDAS, you will have to solve 64 + 36 first, so you need to put them in the parenthesis. Next, simply multiply by 50.
it's C. y = 1/2x + 2
Answer: what are you asking im lost
Step-by-step explanation:
Write a word phrase to represent the numerical expression below.
(7-3) ÷ 2
Answer:
the quantity seven minus three divided by two
Step-by-step explanation:
its math
Which comparison statements are true?
Answer:
Option B,option D and option F are the correct statements.
expand and simplify 3(5x+1)+5(5x-4)
Answer:
40x-17
Step-by-step explanation:
The
is the distance across a circle, going through the center.
circumference
diameter
radius
area
The distance across a circle, going through the center is called Diameter.
Write as the opposite of a square root. -3√5
Answer:
3x5² is the opposite of ur uestion
The value of -3√5 as the opposite of the square root is -75.
What is square root?The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9.
Given:
-3√5
The opposite of the square root is the square, so,
-3√5 = -3 × 5²
-3√5 = - 3 × 25
-3√5 = - 75
To know more about square root:
https://brainly.com/question/9459418
#SPJ2
y = 3 tan(x2 + 5) [using Chain Rule]
Answer:
6x sec2 (x2+5) the number to are in the top of x a c.
Apply the zero product property to solve the equation below:
x (x + 2) = 0
Answer:
0(-2+2)=0
Step-by-step explanation:
x=0
x=-2
0(-2+2)=0
9x2+8x(5x-4) simplify
Therefore, -14x + 40x² is the answer.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Need some help in this please
Answer:
∠GHD is 85°
Step-by-step explanation:
180°-95°
85°
Help me please I don’t wanna fair math
Step-by-step explanation:
To find the equation you must first find the gradient and also look for the points on the graph.
I see point ( 0, 2) and point (4, 1)
Hence first find the gradient before equation
the gradient = y2-y1/x2-x1
y2 = 1
y1 = 2
x2 = 4
X1 =0
if you put in the values it will look like
1-2/4-0
-1/4
the gradient = -1/4
So for the equation the formula is
remember m is the gradient
y - y1 = m ( x - x1 )
so put in the value from only one point so you can choose either (0,2 ) or (4,1 )
I will go with (4, 1)
y - y1 = m ( x - x1 )
y - 1 = m ( x - 4 )
y -1 = -1/4 ( x - 4)
4 ( y-1) = -1(x-4)
4y- 4 = -1x +4
4y - 4 -4 = -1x
4y -8= -1x
4y + 1x -8 = 0
this is the equation.
thanks and good luck.
what is 2*6 i need help
Its 12 for answer
Step-by-step explanation:
2×6=12
I need help plz.....
Answer:
(c) y^2/16 -(x -7)^2/9 = 1
Step-by-step explanation:
The center, focus, and vertex are on a vertical line, so the hyperbola opens in the direction of the y-axis. The y-term will have the positive coefficient.
The vertex-center distance in the y-direction is 4, so the denominator of the y-term is 4^2 = 16. The denominator of the x-term is 5^2 -16 = 9, where 5 is the center-focus distance.
The equation is ...
y^2/16 -(x -7)^2/9 = 1
Market for flat-screen TVs:
Demand: Qd=2,600-5P
Supply: Qs=-1000 +10P
What would be the amount of shortage if a price ceiling is imposed at price of $205?
Your Answer: 1100
Answer
Answer:
525
Step-by-step explanation:
The demand at a price of 205 is ...
Qd = 2600 -5(205) = 2600 -1025 = 1575
The supply at a price of 205 is ...
Qs = -1000 +10(205) = 2050 -1000 = 1050
The demand exceeds the supply by ...
1575 -1050 = 525
The shortage is 525 units.
What is the constant of proportionality in this table?
XY
48
5 10
6 12
10 20
Answer:
2
Ok lets start off with your 3 numbers
First do 10 / 5 = 2
Then do 12 / 6 = 2
After that do 20 / 10 = 2
now you see you that its all equivalent to 2 that's your answer!
candy is 5 years older than one-third Liam's age .if candy is 16,how old is Liam
Answer:
33
Step-by-step explanation:
16-5=11
11×3=33
so yeah
Answer:
18
Step-by-step explanation:
What is 8 hours and 37 minutes converted into minutes?
Answer:
517 minutes
Step-by-step explanation:
Hope this helps:))
Answer:
517 mins
Step-by-step explanation:
1hour=60min
8hour=480min
37min is the same because it is already in minutes
480+37=517mins
Simplify (2x + 5y) + (3x - 2y)
Answer:
5x + 3y
Step-by-step explanation:
Combine Like terms: 2x + 3x = 5x
5x + (5y - 2y) = 3y
Ans: 5x + 3y
GUY HELP DID CLICK OF THE RIGHT ONE ?
Answer:
c
Step-by-step explanation:
it just is that's the right book
last month, a store sent 2,014 emails to customers about sales. the number of e-mails sent the month before was 2,104. Use one of the symbols <, >, or = to compare the two numbers to compare the two numbers of e-mails sent. Explain how you used the digits to determine your answer
Answer:
Last month (2,014) = (2,014) Month before last month
Your answer would be 2,014 = 2,014
The digits are all the same. Therefore, I concluded that the numbers were the same. This means that a equal sign should be used.
Hope this helps. Pls mark brainliest. :S