Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
-1
1
-4
4
2 + 5i
2-5i
-2 + 10i
-2 - 10i
Answers
Answer:
B, C, E, F
1, -4, 2+5i, 2-5i
Step-by-step explanation:
The roots of the function g(x) are -4 and 1.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the roots of the given function, we need to find the values of x that make the function equal to zero.
This can be done by factoring the function and setting each factor equal to zero.
g(x) = (x² + 3x - 4) (x² - 4x + 29)
Setting each factor equal to zero.
x² + 3x - 4 = 0
(x + 4)(x - 1) = 0
x² - 4x + 29 = 0
This quadratic has no real roots since its discriminant is negative.
The roots of g(x) are the values of x that satisfy either of these equations, which are:
x = -4 or x = 1
Thus,
The roots of the function g(x) are -4 and 1.
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Related Questions
What is the gradient of the line that passes through the points (0,0) and (5,-10)
Answers
Answer:
[tex]\displaystyle m=-2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (0, 0)
Point (5, -10)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m. Slope and gradient is the same.
Substitute in points [SF]: [tex]\displaystyle m=\frac{-10-0}{5-0}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-10}{5}[/tex][Fraction] Divide: [tex]\displaystyle m=-2[/tex]Answer:
Let "m" be the slope of the line passing through the point.
[tex]m = \frac{y_ 2 - y_1}{x_ 2 - x_1 } = \frac{( - 10 - 0)}{(5 - 0)} = \frac{ - 10}{5} = \boxed{- 2 }[/tex]
-2 is the gradient of the line that passes through the points (0,0) and (5,-10).
Is the equation 72 ÷ 6 = 64 ÷ 4 true or false? (2 points)
True
False
Answers
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
72/6=12
64/4=16
What is the product?
[4 2] x [-2 5 7 -1]
Answers
Answer:
The answer is C
Step-by-step explanation:
Please help will give brainlist to first answer due at 10 15 An artist mixes yellow paint with blue paint to make a certain shade of green. The ratio of yellow to blue is 3 to 5. How much yellow paint should the artist mix with 20 ounces of blue paint. Write a proportion and solve.
Answers
Answer:
12 onces of yellow paint should be use
Step-by-step explanation:
3:5
= 3 x 4 =12 and = 5 x 2 = 20
Answer:
12:20
Step-by-step explanation:
12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20
Donovan was playing a basketball shooting game in the arcade. He made 15 shots and missed 25 shots. What is the percentage of shots Donovan made in the basketball game?
Do not round your answer.
Thank you for the help :)
Answers
Answer:
r
Step-by-step explanation:
The function f(x) = ( )* is translated up 4 units. Which equation represents the translated function?
g() = (5)***
g(x) = ()
g() = ()' +4
g(x) = (13) -4
Answers
Answer:
c
Step-by-step explanation:
Can anybody help please I’ll mark brainlist!
Answers
Find a country located in the temperate zone (USA, Canada, India, Europe Japan, New Zealand etc.) then using their climatic data from a two-year period, complete the following tasks:
a) Find the highest and the lowest temperatures recorded.
b) Use these two numbers to find the amplitude.
c) Find the period of the function.
d) Draw the graph using the Sine or cosine function.
e) What can you infer about the trend of the temperature now?
Answers
Answer:
i dont see what the top part says??
Step-by-step explanation:
PLSSSSS HELP ME!!! 80 Points!!
What is the apparent solution to the system of equations?
y = -2 +2
y=40 +7
Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the point tool.
Answers
Answer:
y=−x+2y=4x+7 NO
y=−x+2 YES
y=4x+7
Multiply the first equation by 4, obtaining: 4y = -4x + 8
Add the 2nd equation to this result: y = 4x + 7
--------------------
5y = 15, and y = 3
Then, using the first equation, determine x:
y = 3 = -x + 2
1 = -x, so x = -1
The solution is (-1, 3)
Answer: (-1; 3)
Step-by-step explanation:
y = -x + 2
y = 4x + 7
4x + 7 = -x + 2
4x + 7 + x - 7 = - x + 2 + x - 7
5x = - 5
x = - 1
y = 4(-1) + 7
y = 3
Intersection point: (-1; 3)
See the solution on the photo
Help please ............
Answers
Answer: 0.45
Step-by-step explanation:
(no 2 and 4) 15%+30% = 45%
45/100 = 0.45
I will give Brainlesst please help and 100 point :) Question 2 (5 points)
(04.02 LC)
Which graph shows a proportional relationship between the number of hours of
renting a bike and the total amount spent to rent the bike? (5 points)
Answers
Answer:
Neither of the graphs show a proportional relationship.
Step-by-step explanation:
A proportional relationship is also known as a linear relationship, where when the points are plotted on the graph, the points increase or decrease at a constant rate. This will appear as a straight line with NO change.
an online company lets you download songs for 1$ each after you have payed a 5$ membership fee the maximum amount of songs you can download in a month is 100 how much do you pay
Answers
Answer:
$105
Step-by-step explanation:
5 + 1 (100)
5 + 100
105
At basketball camp , kylie made 18% of her free throws. Based on this information which is the best prediction of the number of free throws she will make out of 50 attempts
Answers
Answer:
9 free throws. that is the answer that I got
Can someone help me please with all these pleaseeee
Answers
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sssss
A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply the page number by 3 and add 1. She discovers this pattern:
Which would best complete the pattern?
A. 4 x 3 = 12, 4 + 12 = 16, 16
B. 4 x 3 = 12, 12 + 1 = 13, 13
C. 4 x 3 = 12, 12 = 3, 3
D. 4 + 3 = 7, 7 x 3 = 21, 21
Answers
Answer:
B
Step-by-step explanation:
B is the only choice that has both all of the steps, and all of the steps in the right order.
Answer:
21
Step-by-step explanation:
If (1/4)^2-y, =1 find the value of y
Answers
1/16 - y = 1
Then you subtract 1/16 on both sides
-y = 1 - 1/16
Then subtract 1/16 from 1
-y = 15/16
Then divide by -1 to make y positive
answer —-> y = -15/16
Write the
following in
slope-intercept
form:
7x - 2y = -6
Answers
2y = 7x + 6 or the simplified version would be y = 7/2x + 3
Step-by-step explanation:
u just gotta know that slope intercept form is the equation y=mx+b
A rectangle made of squares is shown . The length of the side of each square is 1 cm create an equation to find the area of the rectangle. Move numbers an symbols to the lines
Answers
Answer:
See Explanation
Step-by-step explanation:
The rectangle is not shown. To solve this question, I'll make use of the attachment.
Apply the same steps, and you'll get the answer to your question.
From the attachment, we have:
[tex]Rows = 3[/tex]
[tex]Columns = 4[/tex]
Since the length of each square is 1 cm, then
[tex]Row = 3cm[/tex]
[tex]Column = 4cm[/tex]
So, the area is:
[tex]Area = Row * Column[/tex]
[tex]Area = 3cm * 4cm[/tex]
[tex]Area = 12cm^2[/tex]
Shelley delivered 10 newspapers after 20 minutes and 30 newspapers after 60 minutes what is rate of change that represents how many paper shelley's delivering every minute
Answers
Answer:
1 newspaper per 2 minutes
Step-by-step explanation:
If you look at 10 newspapers per 20 minutes, you can divide newspapers by minutes which gives you 10/20 = 1 newspaper per 2 minutes. To check the answer, you can do 2*30=60 since 2 minutes per each newspaper would equal 60 minutes.
Hope this helps!
Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank. A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16). Which statement is supported by the graphs? Jillian’s car holds more gasoline and gets better gas mileage. Nikki’s car holds more gasoline and gets better gas mileage. Jillian’s car holds more gasoline, but Nikki’s car gets better gas mileage. Nikki’s car holds more gasoline, but Jillian’s car gets better gas mileage.
PLZ FAST
Answers
Answer: A.)Jillian’s car holds more gasoline and gets better gas mileage
Mr. Johnson buys 5 bottles of lemonade for the school picnic. He buys four 28
ounce bottles and one 64-ounce bottle. Using rounding to the nearest ten, about
how much lemonade does Mr. Johnson buy in all?
A. 360 ounces
B. 180 ounces
C. 90 ounces
D. 190 ounces
Answers
112+64
176
Rounded to the nearest ten it would be 180
A beam bridge has a total length of 168 yards. The bridge is supported at both ends and has three additional supports in the water. What is the span between any two consecutive supports?
Answers
The answer is 6
Step-by-step explanation:
6-65
The total length of a beam bridge is 168 yards. then the span between any two consecutive supports is 23 approx.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that the total length of a beam bridge is 168 yards.
The Total number of supports on the bridge = 1 at both end + 3 additional = (1 + 3 + 1) = 5 supports
Arch lies in between two successive supports ;
Hence, the number of archs = 5
Hence, width of arch = (5 * x) = 5x meters
Width of support = 2 meters
The Total width of support : (2 * x+ 1) = 2(x + 1) meters
Hence, the total distance of bridge :
Total arch width + total support width
5x + 2(x + 1) = 168 meters
5x + 2x + 2 = 168
7x = 166
x = 23 approx
Hence, the span between any two consecutive supports is 23 approx.
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Directions: Find the value of x.
Round each answer to the nearest tenth.
Answers
Answer:
this answer is not available at the moment
Step-by-step explanation:
Esther and her 6 brothers went shopping at the mall. She shopped in 12 different stores while her brothers each shopped in 8 different stores. How many stores did Esther and her brothers shop in altogether?
Answers
Answer:
60 stores
Step-by-step explanation:
Here, we want to get the total number of stores in which Esther and her 6 brothers went shopping
From the question, she shopped in 12 different stores
Each of her six brothers shopped in 8 different stores
That makes the number of stores in which the brothers shop be 8 * 6 = 48 stores
The total number of stores is thus, 48 + 12 = 60 stores
A person can bike 48 miles in 2 hours. At this rate how long will it take this person to travel 66 miles? Show work please!!!
Answers
Answer:
Convert to a decimal by dividing the numerator by the denominator.
2.75 hours
Whos your favorite operator in rainbow six seige
Answers
Answer:
It has to be Maverick how about u
Step-by-step explanation:
Answer:
Niclas "Pengu" Mouritzen
Step-by-step explanation:
what is the rate and equation
Answers
Answer:
The rate law or rate equation for a chemical reaction is an equation that links the initial or forward reaction rate with the concentrations or pressures of the reactants and constant parameters (normally rate coefficients and partial reaction orders).
Step-by-step explanation:
find the slope of the linear function
Answers
Answer:
that one over there
Step-by-step explanation:
Answer:
2/3 = slope
Step-by-step explanation:
Slope is rise over run. If you look at (3,1), to go to the next point, it goes up 2 (rise) and right 3 (run). so 2/3 would be the slope.
Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the Venn diagram.
Circle C and P overlap. Circle C contains 10, circle P contains 8, and the intersection contains 4. Number 3 is outside of the circles.
Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie?
Two-sevenths
Two-fifths
Answers
Answer:
Two-sevenths
Step-by-step explanation:
It's the smallest amount just like the middle number
Answer:
2/7
Step-by-step explanation:
If f(x) = -x + 5 and g(x) = x^2, what is (g° (-1)?
Answers
Answer:
[tex](g\circ f)(-1)=36[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=-x+5\text{ and } g(x)=x^2[/tex]
And we want to find:
[tex](g\circ f)(-1)[/tex]
This is equivalent to:
[tex]=g(f(-1))[/tex]
So, evaluating f(-1) first, we acquire:
[tex]f(-1)=-(-1)+5=6[/tex]
Then by substitution:
[tex]=g(6)[/tex]
So:
[tex]=(6)^2=36[/tex]
Therefore:
[tex](g\circ f)(-1)=36[/tex]
Your answer is indeed correct.
Answer:
please refer to the above attachment.
36 is the right answer.