Answer:
The "possible" rational zeros are:
±
1
,
±
2
,
±
4
,
±
8
The actual zeros are:
−
1
,
4
,
±
√
2
Explanation:
f
(
x
)
=
x
4
−
3
x
3
−
6
x
2
+
6
x
+
8
By the rational root theorem, any rational zeros of
f
(
x
)
are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
8
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
4
,
±
8
We find:
f
(
−
1
)
=
1
+
3
−
6
−
6
+
8
=
0
So
x
=
−
1
is a zero and
(
x
+
1
)
a factor:
x
4
−
3
x
3
−
6
x
2
+
6
x
+
8
=
(
x
+
1
)
(
x
3
−
4
x
2
−
2
x
+
8
)
Notice that the ratio between the first and second terms of the remaining cubic is the same as that between the third and fourth terms. So this cubic will factor by grouping:
x
3
−
4
x
2
−
2
x
+
8
=
(
x
3
−
4
x
2
)
−
(
2
x
−
8
)
x
3
−
4
x
2
−
2
x
+
8
=
x
2
(
x
−
4
)
−
2
(
x
−
4
)
x
3
−
4
x
2
−
2
x
+
8
=
(
x
2
−
2
)
(
x
−
4
)
Finally we can factor the quadratic as a difference of squares:
x
2
−
2
=
x
2
−
(
√
2
)
2
=
(
x
−
√
2
)
(
x
+
√
2
)
So the zeros are:
−
1
,
4
,
±
√
2
Fave food. THIS IS FOR A GRAPH, PLEASE JUST COMMENT.
A plane flies from San Francisco to New York City at 600 miles per hour and returns along the same route at 400 miles per hour. What is the average flying speed for the entire route (in miles per hour)
Answer: 500 i think
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST
Answer:
Its the bottom one x>5
Step-by-step explanation:
A factory produces pop-its at a constant rate. After 4 hours, 3,120 pop-its have been produced. What is the unit rate? (must show work)
Answer:
780
Step-by-step explanation:
divide 4 from 3120 to find how many pop-its are made per hour/ unit rate
help algebra 2 100 pints if you answer right
Answer:
49x^4-70x^3+319x^2-420x+150, first option
Step-by-step explanation:
Just do (7x^3-5x^2+42x-30) times (7x-5)
and you will get 49x^4-35x^3-35x^3+25x^2+294x^2-210x-210x+150.
All this would simplify to the first option.
49x^4 - 35x^3 - 35x^3 + 25x^2 + 294x^2 - 210x - 210x + 150
= 49x^4 - 70x^3 + 319x^2 - 420x + 150
ANSwer: The first one.
If you made equal monthly payments how much would you need
Answer:
For example, a borrower takes a $100,000 loan with a 6% annual interest rate for three years.
Step-by-step explanation:
Have a GREAT DAY !
If x # y = 2x + y, then 1 # 2 =
Answer:
1 # 2 = 4
Step-by-step explanation:
1 # 2 = 2*1 + 2 = 2 + 2 = 4
27. A prime factor of 2310 is chosen at random. What is the
probability that the chosen factor will be greater than 7?
Step-by-step explanation:
The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11. Since it has a total of 5 prime factors, 2,310 is a composite number.
The probability of chosen factor will be greater than 7 will be ( 1 / 5 ).
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that a prime factor of 2310 is chosen at random. The probability will be calculated as:-
The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11.
Favourable outcome = 11 = 1
Total outcomes = ( 2,3,5,7,11) = 5
Probability = ( 1 / 5 )
Therefore, the probability of chosen factor will be greater than 7 will be ( 1 / 5 ).
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one half of the sum of number and 10
Sum of x and 10 is (x+10)
Half of sum of x and 10 = [tex] \frac{x + 10}{2} \\ [/tex]
g(n)=n^2-4
h(n)=4n+5
find g°h
Answer: g(4n+5) = 16n^2 + 40n + 30
Step-by-step explanation:
g(n)=n^2-4
h(n)=4n+5
find g°h
g°h is g(4n+5) = (4n+5)^2 + 5
g(4n+5) = (16n^2 + 40n + 25) + 5
g(4n+5) = 16n^2 + 40n + 30
Which of the following rules could represent the function shown in the table?
Answer:
f(x) = 2x + 1.
Step-by-step explanation:
In order to determine the function rule for the given table of values, we must start by finding the slope or the rate of change. Choose two ordered pairs from the table: (0, 1) and (1, 3).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (1, 3)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (3 - 1)/(1 - 0)
m = 2/1 = 2
Therefore, the slope of the function is, m = 2.
Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ). From the given table of values, the y-intercept is (0, 1), for which its y-coordinate is the value of b = 1.
Therefore, the function rule that represents the given table of values is:
f(x) = 2x + 1.What is the second step in solving the equation
slm
+7= 5?
Subtract 7 from each side.
Divide each side by 3.
Add 7 to each side.ch
O Multiply each side by 3.
Answer:
subtract 7 from each side
Step-by-step explanation:
Answer:
Subtract 7 from each side.
Step-by-step explanation:
x+7 = 5x+7-7 = 5-7x = -2Please help I don’t understand
Answer:
The value of x so f (x) = 7 is 5.
Step-by-step explanation:
if f(x)= -13, find x
A stick 1 meter long casts a shadow 0.6 meters long. A building casts a shadow 25 meters long. How tall is the building (to 2 decimal places)
Answer:
41.67
Step-by-step explanation:
Using the tangent on the stick with shadow:
tan(θ) = [tex]\frac{1}{0.6}[/tex]
Using the tangent on the building:
tan(θ) = [tex]\frac{h}{25}[/tex]
⇒ h = 25 · tan(θ)
= 25 · [tex]\frac{1}{0.6}[/tex]
⇒ h = 41.66... ≈ 41.67
There are four springs stretched by the same mass.
Spring A stretches 25 cm.
Spring B stretches 10 cm.
Spring C stretches 100 cm
Spring D stretches 1 cm.
Which spring has the largest spring constant?
Ο Α
O B
O C
O D
Answer:
C is my answer
You cam correct me if im wrong in the comments
heeeeeyyyyy someone can aswer plz? Thx
Answer:
b)
x=65+32 [ being ext. angle of triangle is equal to the sum of two opposite interior angle]
therefore x=97°
Last week it snowed 4.32 inches on Monday and 6.86 inches on Tuesday. It Snowed 7.89 inches this week.
How much more did it snow last week than this week?
01.03 inches
O 2.54 inches
0 3.29 inches
O 3.57 inches
Answer:
3.29
Step-by-step explanation:
4.32+6.86=11.18
11.18-7.89=3.29
I NEED HELP ON 2 PLEASEEEEEEEEE
Answer:
294
Step-by-step explanation:
Scale factor is 3.5 (If you go from the smaller image to the bigger image).
7 x 3.5 = 24.5 feet
since the question is asking you for the answer in inches you have to multiply 24.5 by 12 which gives you 294
Ms. Neville has 75 papers. she graded 60 papers, and she had a student teacher grade the rest. What percent of the papers did each person grade?
Answer:
Ms. Neville graded 80% of the papers and the student teacher graded 20% of them.
Step-by-step explanation:
Given a total of 75 papers, and Ms. Neville graded 60 of them, 15 remain for the student teacher. 75 - 60 = 15
Ms. Neville graded 60/75 = 0.8 = 80% of papers.
The student teacher graded 15/75 = 0.2 = 20% of papers.
Sanity check: 80% + 20% = 100%
PLZZZ HELP FOR BRAINLIST
Answer:
I D K GUESS ITS 1 2 4 I GUESS THINKING
Step-by-step explanation:
which absolutely value inequality represents the given graph? A. |-3x| < 15 B. |-3| > 15
Answer:
B.|-3x| > 15
Step-by-step explanation:
hallar el factor comun por agrupacion de terminos de los siguientes ejercicios
a.3m[tex]2^{2}[/tex]
b.
c.
d.
e.
f.
g.
h.
i.
Answer:
No factorizable, está en su forma más simple
Step-by-step explanation:
Find the common factor by grouping the terms of the following exercises
3m[tex]2^{2}[/tex] --> Not factorable, is in simplest form.
Hallar el factor comun por agrupacion de terminos de los siguientes ejercicios
3m[tex]2^{2}[/tex] --> No factorizable, está en su forma más simple.
--------------------------------------------------------------------
Explicación: Solo puede factorizar, o simplificar, una ecuación o solo variables, si la variable que tiene un exponente tiene la misma base que otra variable, como x ^ 2 y x ^ 3, puede simplificarla ax ^ 5. Ahora, en este problema tenemos un 3, y 2 ^ 2, en el 2 ^ 2, 2 es la base y el otro número es 3, que definitivamente no es la misma base, por lo que no puede factorizarlo más, y deje la variable a lo largo.
please help i'm so confused
P: It's sunny.
Q: It's snowing.
R: It's not raining
Translate the following symbols: ~ RAQ
O If it's raining, then it's snowing.
O If it's not raining, then it's sunny.
O It's raining and it's snowing
O It's raining or it's snowing
Answer:
if it's bot raining, then it's sunny
B. Complete the missing factors of the following polynomials.
5. 6a2 + 11b – 35b2 = ( 3a ______ )( 2a ________ )
6. 18x2 – 39x + 20 = ( 3x – 4 ) ( ___________ )
CAN SOMEONE HELP ME, PLEASE.
Here we go another question i'm asking you guys to help me with because i don't understand this!
Answer:
1. Less Than
2. Greater Than
Step-by-step explanation:
You know that 1/2 is equal to 4.5/9
So, 2/9 would be less than 1/2.
You know that 1/2 is equal to 5/10
So, 9/10 is greater than 1/2.
Compare each fraction by setting each fraction to the same denominator.
PLEASE HELP!!
Rewrite the equation to represent the resistance of resistor 2, R2, in terms of RT and R1; see image below :
Rewriting the equation, it is found that the resistance [tex]R_2[/tex] is given by:
[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]
The equation given for [tex]R_T[/tex] as function of [tex]R_1[/tex] and [tex]R_2[/tex] is:
[tex]R_T = \frac{R_1R_2}{R_1+R_2}[/tex]
Applying cross multiplication:
[tex]R_TR_1 + R_TR_2 = R_1R_2[/tex]
[tex]R_1R_2 - R_TR_2 = R_TR_1[/tex]
[tex]R_2(R_1 - R_T) = R_TR_1[/tex]
[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]
A similar problem is given at https://brainly.com/question/24272167
Bobby and Garnetta thought of four consecutive odd integers such that 5 times the sun
of the first and the third was 22 greater than the product of 8 and the sum of the second
and the fourth. Find the numbers.
The four consecutive odd numbers are - 11, - 9, - 7, - 5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).
Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.
∴ 5(n + n + 4) = 8(n + 2 + n + 6) + 22.
5(2n + 4) = 8(2n + 8) + 22.
10n + 20 = 16n + 64 + 22.
10n - 16n = 86 - 20.
- 6n = 66.
n = - 11.
So, The numbers are - 11, - 9, - 7, - 5.
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State the reaction type and then balance equation __Na3PO4+___HCI=__H3PO4+__NaCl
Balanced reaction:
[tex]\text{Na}_3 \text{PO}_4 + 3\text{HCl} \longrightarrow \text{H}_3 \text{PO}_4 + 3\text{NaCl}[/tex]
The reaction type is double replacement.
i need help please, i need the answer now!