can somebody help me with this homework?
Answer:
121.1/1.6%
Step-by-step explanation:
subtarct the given numebrs to get 121.1
Divide 123.06 from 121.1, multiply by 100, and you have 101.6, rate of change take away the hundred value to get 1.6%
Hope this helps and makes sense
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 0,1, and 1+i
Answer:
[tex]f(x)=x(x-1)(x^2-2x+2)[/tex]
Step-by-step explanation:
The standard polynomial is given by:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where a is the leading coefficient and p and q are the zeros.
We are given that the zeros are x = 0, 1, and 1 + i.
First, by the Complex Root Theorem, if 1 + i is a zero, then 1 - i must also be a zero.
Therefore:
[tex]f(x)=1(x-(0))(x-(1))(x-(1+i))(x-(1-i))[/tex]
Simplify:
[tex]f(x)=x(x-1)(x-(1+i))(x-(1-i))[/tex]
Expand the third and fourth factors:
[tex](x-(1+i))(x-(1-i))=(x-(1+i))(x)-(x-(1+i))(1-i)[/tex]
Distribute:
[tex]=x^2-x-ix-(x(1-i)-(1+i)(1-i))[/tex]
Expand:
[tex]=x^2-x-ix-x+ix+(1-i+i-i^2)[/tex]
Therefore:
[tex]=x^2-2x+(2)=x^2-2x+2[/tex]
Hence, our polynomial function is:
[tex]f(x)=x(x-1)(x^2-2x+2)[/tex]
Which is the inverse of the function f (x) = 1/4x + 1/2
Answer:
f⁻¹(x) = 4x - 2
Step-by-step explanation:
To find the inverse of a function, switch the places of x and y (or f(x)).
f(x) = 1/4x + 1/2 → y = 1/4x + 1/2
Switch the variables.
x = 1/4y + 1/2
Now you want to convert the equation back into y = mx + b form.
x = 1/4y + 1/2
Subtract 1/2 from both sides.
x - 1/2 = 1/4y
Now, you want to isolate y further by dividing both sides by 1/4 (or multiplying by 4).
4(x - 1/2) = y
Distribute the 4.
4x - 2 = y → y = 4x - 2 → f⁻¹(x) = 4x - 2
This is the inverse of your given function.
Someone please help me with this and show work I don’t get it I’ll give brainliest
Answer: THAT IS RIGHT OK BYE MAN
Step-by-step explanation: OK BYE
multiply c by 9, then add 2 to the result
Answer:
9c+2
Step-by-step explanation:
Evaluate the expression 12/(10-2)-(22-18)
A. 3
B. 4
C. 12
D. 0
Answer:
A
Step-by-step explanation:
What 5+10
15
12
19
5
Answer:
15
just add 10 plus 5
Find the perimeter of the figure. Round to the nearest tenth.
answer.
3 ft
3 ft
20 ft
5 ft
14 ft
Perimeter
feet
Answer:
45Step-by-step explanation:
Add the sides together:
3+3+20+5+14=45
A line segment has an endpoint at (-7, 11) and (-6, 4), what is the length of
the segment?
Answer:
d = 5√2 units
Step-by-step explanation:
Let's use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the values with your endpoints.
d = √[(-6 - (-7))² + (4 - 11)²]
Solve within the parentheses.
d = √[(1)² + (-7)²]
Solve the exponents.
d = √[1 + 49]
Solve within the brackets.
d = √50
Simplify the square root.
25 • 2 = 50
√25 • √2 = √50
5 • √2 = √50
d = 5√2 units
Hope this helps!
A teacher wants to create a graph of the students' scores on the final exam and see what the distribution looks like, looking for clusters and gaps in the scores. Which type of graph is the most appropriate?
A) Steam and Leaf
B) Circle Graph
C) Box and Whisker Plot
D) Line Graph
The most appropriate graph is the (d) line graphs
How to determine the appropriate graph?From the question, we understand that:
The distribution should include clustersThe distribution should include gapsClusters and gaps are easily identified in line graphs, more than the other graphs.
This is also known as the dot plot
Hence, the most appropriate graph is the (d) line graphs
Read more about graphs at:
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a triangle has side lengths of 16 cm and 19 cm which could be the value of the third side 29cm or 19cm. The value Blank cm is the value of the third side
Answer:
19 cm
Step-by-step explanation:
because the third side has to be equivalent to at least one other side.
Evaluate the expression when x-=12.5 and y=6 12x-3y^2
Answer:
Step-by-step explanation:
Expresión x--12.5*y-612*x-3*y-2 = 9.5*y-611.0*x-2.0
Translate this sentence into an equation.
64 is the product of Goran’s height and 4
Use the variable g to represent Goran’s Height
Answer:
g×4=64
product means multiply
so that would mean Gorans height times 4 and that would all equal 64
hope this helped
What is the slope of the line through (-4,2) and (3, 3)? "/ yo Choose 1 answer: 19 21 42 142 A А 7 5 B 7 5 5 7 5 7 e slope an
Answer:
1/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-2)/(3-(-4))
m=1/(3+4)
m=1/7
Solve the Antiderivative.
The regular price of an item at a store is $2,000. If the sale price is $1,120, what percent is the discount?
Answer:
$3,120
Step-by-step explanation:
$2,000
+$1,120
---------------
$3,120
Hence, the percent is the discount is $ [tex]3120[/tex].
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
Here given that,
The regular price of an item at a store is $[tex]2,000[/tex]. If the sale price is $[tex]1,120[/tex].
So,
[tex]2,000+1120=3120[/tex] $
Hence, the percent is the discount is $ [tex]3120[/tex].
To know more about the percentage
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Find the value of x. I WILL GIVE 100 POINTS ANSWER QUICK!
Answer:0.714 not sure exactly if i need to simplify, mullitiply, or divide.
Step-by-step explanation:
At lunch time, Benjamin often borrows money from his friends to buy snacks in the school cafeteria. Benjamin borrowed $0.75 from his friend Clyde five days last week to buy chips. Represent the amount Benjamin borrowed as the product of two rational numbers; then, determine how much Benjamin owed his friend last week.
Answer:
3.75Step-by-step explanation:
Plssssssssss help because i need to go to basketball practice
Answer:
The answer is a= 5
Step-by-step explanation:
hope this helps
Answer: a=5
Step-by-step explanation: 3(5)=15
go back to practice :)
Find x, the angle of depression from the top of a lighthouse that is 153 ft above the water level to the waterline of a ship 1071 ft off shore. Round your answer to the nearest tenth of a degree.
Answer:
x = 8.1°
Step-by-step explanation:
Reference angle = x
Opposite side = 153 ft
Adjacent side = 1071 ft
Applying trigonometric ratio (TOA), we have:
[tex] tan(x) = \frac{opp}{adj} [/tex]
[tex] tan(x) = \frac{153}{1071} [/tex]
[tex] x = tan^{-1}(\frac{153}{1071}) [/tex]
[tex] x = 8.1 degrees [/tex] (nearest tenth)
PLEASE HELP!
4x + 2y = 6
-2x + 2y = 18
There combined answer please!
SHOW YA WORK
SOEMOENN HELP ME PLEASE WITH A MATH PROBLME If x is 6, what is:
7- X
Answer:
1
Step-by-step explanation:
7-6=1
Answer:
1
Step-by-step explanation:
7-x
x=6
7-6=1
Find three points on the parabola.
x^2−6x−4y+5=0
Answer:
(0,1.25), (1,0), (-1,3)
Step-by-step explanation:
Find the value of x.
Answer:
I think the answer is x=120
22×(4.5×4.5×4.5+9)=
what is the answer?
Answer:
2202.75
Step-by-step explanation:
calculator
1. The band must eam at least $75 for a trip. Band members
already earned $35. Write and solve an inequality to find how
much money they still need to eam.
Answer:
$75 * $35 = $2,625
Step-by-step explanation:
75 * 35=2625
Find the H.C.E of 108 and 72.
Answer:
36 is the HCF of 108 and 72
Answer:
36.
Step-by-step explanation:
HCF of 108 and 72
108 = 2 * 2 * 3 * 3 * 3
72 = 2 * 2 * 2 * 3 * 3
So picking out the common factors we have
HCF = 2 * 2 & 3 * 3
= 4 * 9
= 36.
Find the minimum value for the following quadratic equation.
f(x) = 3x2 + 6x-1
Answer:
(-1,-2)
Step-by-step explanation:
Maybe
find the value of x and round
Answer:
X=80.4
Step-by-step explanation:
Lol
Step-by-step explanation:
x= 78 approximately
hope this is correct
Directions: Find the missing term in each pair of equivalent ratios.
1. 3:4 = 21:n
2. 1:5 = n : 40
3. 2 : n = 8 : 12
4. n = 2
42 7
5. 4 = 20
9 n
Step-by-step explanation:
1 multiplied by 7
3;4=21:28
2) multiplied by 8
1:5= 8:40
3)divided by 4
2:3= 8:12
4) multiplied by 6
12/42= 2/7
5) multiplied by 5
4/9= 20/45