Select all the correct answers.
Which expressions are equal to 105?
(104)1
1
103.102
1
105
(103)2
10.10.10.10.10
Answers
The expressions that equal to 10⁵ are, 10³.10² and 10.10.10.10.10.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents is only possible for same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
The expression that equals to 10⁵ are,
10³.10².
= 10 ³⁺².
= 10⁵.
10.10.10.10.10 ('.' implies multiplication)
= 10¹.10¹.10¹.10¹.10¹.
= 10¹⁺¹⁺¹⁺¹⁺¹.
= 10⁵.
learn more about exponents here :
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Related Questions
Type the correct answer in each box. Use numerals instead of words.
The zeros of the function f(1) = -(x + 1)(0 - 3)(x + 2) are –1, 3, and __and the y-intercept of the function is located at (0,__)
Pls help
Answers
Given:
Consider the given function is [tex]f(x)=-(x+1)(x-3)(x+2)[/tex].
To find:
The remaining zero and y-coordinate of y-intercept.
Solution:
We have,
[tex]f(x)=-(x+1)(x-3)(x+2)[/tex]
For zeros, [tex]f(x)=0[/tex].
[tex]-(x+1)(x-3)(x+2)=0[/tex]
[tex](x+1)(x-3)(x+2)=0[/tex]
[tex](x+1)=0,(x-3)=0,(x+2)=0[/tex]
[tex]x=-1,x=3,x=-2[/tex]
So, three zeros of given function are -1, 3 and -2.
Putting x=0 in the given function, we get
[tex]f(0)=-(0+1)(0-3)(0+2)[/tex]
[tex]f(0)=-(1)(-3)(2)[/tex]
[tex]f(0)=-(-6)[/tex]
[tex]f(0)=6[/tex]
So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).
Therefore, the zeros of the function [tex]f(x)=-(x+1)(x-3)(x+2)[/tex] are –1, 3, and -2 and the y-intercept of the function is located at (0,6).
(2x-4)+(5x-13)+(x+4)
Answers
Answer:
the answer is going to be 8x-13
Answer:
8x-13
Step-by-step explanation:
Combine all like terms
2x+5x+x=8x
-4-13+4=-13
8x-13
The following number belongs to which set of numbers 1.6 (the is a repeating decimal by the way)
A.Irrational number
B.Rational number, integers, and whole numbers
C. Rational numbers, and integers, but not whole numbers
D. Rational numbers, but not integers or whole numbers.
Answers
Answer:
Hope this helps oWO
Step-by-step explanation:
Federal courts hear cases involving the constitutionality of a law, cases involving the laws and treaties of the U.S. ambassadors and public ministers, disputes between two or more states, admiralty law, also known as maritime law, and bankruptcy cases. Federal courts generally have exclusive jurisdiction in cases involving (1) the Constitution, (2) violations of federal laws, (3) controversies between states, (4) disputes between parties from different states, (5) suits by or against the federal government, (6) foreign governments and treaties, (7) admiralty and ...
compare the value of the 3 in 340,500 to the value of the 3 in 3,160,00
Answers
Answer:
Step-by-step explanation:
3 in 340,500 is 300,000
and 3 in 316 ,000 is 300,000
so 300,000-300,000 = 0
(2x^3y^4)^3
Thanksbdndkndkdhsohxuxhcjdkdjdd
Answers
Answer:
When simplified its 8x^9 y^12
Step-by-step explanation:
Which of the following describes the end behavior of the function ƒ(x) = –5x3 + 3x2 + x – 9?
Question 4 options:
A)
As x → –∞, y → +∞ and as x → +∞, y → –∞
B)
As x → –∞, y → +∞ and as x → +∞, y → +∞
C)
As x → –∞, y → –∞ and as x → +∞, y → –∞
D)
As x → –∞, y → –∞ and as x → +∞, y → +∞
Question 5 (5 points)
What are the real solutions to the equation 4x3 – x2 – 4x + 1 = 0?
Question 5 options:
A)
x = –1, 1
B)
x = –1, 1∕4, 1
C)
x = –1, –1∕4, 1
D)
x = –1, 0, 1∕4
Question 6 (5 points)
Find the zeros of ƒ(x) = x3 + 6x2 + 8x.
Question 6 options:
A)
x = 0, 2, 4
B)
x = –2, –4
C)
x = 2, 4
D)
x = 0, –2, –4
Question 7 (5 points)
Determine if the function ƒ(x) = 3x5 – 9 is even, odd, or neither.
Question 7 options:
A)
Odd
B)
Not enough information given
C)
Neither odd nor even
D)
Even
Question 8 (5 points)
image
The graph is that of a fourth-degree polynomial function. Which of the following correctly shows three factors of the function?
Question 8 options:
A)
(x – 3)(x + 2)(x + 5)
B)
(x + 2)(x – 5)
C)
(x – 3)(x + 5)
D)
(x + 3)(x – 2)(x – 5)
Question 9 (5 points)
For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift
Question 9 options:
A)
left 2 and downward –3.
B)
right 2 and upward 3.
C)
left 3 and downward 2.
D)
right 3 and upward 2.
Question 10 (5 points)
Which of these is a factor of x3 – 3x2 ?
Question 10 options:
A)
x + 2
B)
x – 3
C)
x – 2
D)
x + 3
Answers
The solutions to the functions are
a) x → –∞, y → +∞ and as x → +∞, y → –∞
b) The real solutions to the equation 4x³ - x² - 4x + 1 = 0 is x = -1 , 1 , 1/4
c) The zeros of the function f ( x ) = x³ + 6x² + 8x is x = 0, -2, -4
d) The function is odd
e) The three factors of the function are (x - 3)(x + 2)(x + 5)
f) The translation f (x - 2) + 3 means the function will shift right 2 and upward 3
g) The factor of the function is a = x - 3
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
a)
Let the function be represented as f ( x )
Now , the value of f ( x ) = -5x³ + 3x² + x - 9
The end behavior of the function is given as
As x → –∞, y → +∞ and as x → +∞, y → –∞
b)
Let the function be represented as f ( x )
Now , the value of f ( x ) = 4x³ - x² - 4x + 1
On factorizing the equation , we get
f ( x ) = x² ( 4x - 1 ) - 1 ( 4x - 1 )
f ( x ) = ( x² - 1 ) ( 4x - 1 )
Taking the common factors of the expression , we get
f ( x ) = ( x + 1 ) ( x - 1 ) ( 4x - 1 )
f ( x ) = ( x - 1 ) ( x + 1 ) ( x - 1/4 )
Therefore , the solutions of the equation are x = -1 , 1 , 1/4
c)
Let the function be represented as f ( x )
Now , the value of f ( x ) = x³ + 6x² + 8x
On factorizing the equation , we get
f ( x ) = x ( x² + 6x + 8 )
Taking the common factors of the expression , we get
f ( x ) = x ( x + 4 ) ( x + 2 )
So , the solution of the function are x = 0, -2, -4
d)
The given function f ( x ) = 3x⁵ - 9 is neither odd nor even function
e)
The fourth degree polynomial function is A = ( x + 3 ) ( x - 2 ) ( x - 5 )
f)
Let the function be f ( x )
Now , the translated function is g ( x ) = f ( x - 2 ) + 3
The translation of f (x - 2) + 3 means the function will shift right 2 and upward 3
g)
The factors of the function f ( x ) = x³ - 3x² is f ( x ) = x² ( x - 3 )
Hence , the functions are solved and factorized
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please help does anyone know this?!!!
Answers
Answer:
b c a
Step-by-step explanation:
b c a;b c a; b c a; b c a; b c a
Answer:
Step-by-step explanation:
THe first one is infinitely many solutions , you see y-2x=7 is the same as y=2x+7 which means they will intersect on every point
y-2x=7, simply add 2x to both sides
y=2x+7
The second one has no solution, if you solve for y on each side, you will find that the lines are parallel (slope is the same) and will never intersect.
THe third one has one solution
need help asap please
Answers
Answer:
[tex]\displaystyle 120°[/tex]
Step-by-step explanation:
Again, this an isosceles triangle, therefore the centre base angles are congruent at 60°. This means you double 60° to get 120°.
I am joyous to assist you at any time.
What is the first step to solving this?
[tex]\sqrt{x-4}=7[/tex]
Answers
Answer:
First step is simplifying the equation by moving the square root to the right side and changing it to a Square ²
Step by step:
x-4=7²
(because we changed side square root becomes exponent ²)
x=49+4
x=53
Find the slope and y-intercept.
Answers
Answer:
slope is four and the y-intercept is 1/5
And the Y intercept is the one that is after it which in this case is a positive 4
Can you please help im not good at math as you can see
Answers
Answer:
The answer to the question provided is letter c.
Step-by-step explanation:
[tex] \frac{1 \times7}{2 \times 7} = \frac{7}{14} [/tex]
can anyone answer
Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa
What is the concentration of cocoa in the resulting mixture
Yall don't like me Ima cry
Answers
Answer:
180 grams
Step-by-step explanation:
grams of dark chocolate= 200 % cocoa =60%
Grams of milk chocolate: 200 % cocoa=30%
Amount of cocoa in mixture:
(proportion of milk chocolate+ dark chocolate)
(30% of 200)+60% of 200)
(0.3* 200)+(0.6 *200)
60+120
=180 grams
Answer:
[tex]45\%[/tex]
Step-by-step explanation:
The 200g mixture of dark chocolate is 60% cocoa, meaning there are [tex]200\cdot 0.6=120[/tex] grams of cocoa in this mixture.
The 200g mixture of milk chocolate is 30% cocoa, meaning there are [tex]200\cdot 0.3=60[/tex] grams of cocoa in this mixture.
When mixed together there are a total of 200+200=400 grams of content. Of these 400 grams, 120+60=180 of them are cocoa.
Thus, the concentration of cocoa in the resulting mixture is:
[tex]\frac{180}{400}=\fbox{$45\%$}[/tex]
Addy bough 4 frozen pizzas for the same price each. Her total cost was $12. What was the cost of each pizza.
x + 4 = 12
Answers
Answer:
The answer is 3.
You have to do $12 divided by 4 pizzas which is 3. This means that each pizza cost $3.
Hope this helps.
1. Another line k is perpendicular to line j and passes through
The equation for line j can be written as y =1/2x-1
the point (6, -6). Choose the equation for line k.
Answers
Answer:
The equation for line k is [tex]y = -2x + 6[/tex]
Step-by-step explanation:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope.
When two lines are perpendicular, the multiplication of their slopes is -1.
The equation for line j can be written as y =1/2x-1
Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:
[tex]\frac{1}{2}m = -1[/tex]
[tex]m = -2[/tex]
So
[tex]y = -2x + b[/tex]
It passes through the point (6,-6).
This means that when [tex]x = 6, y = -6[/tex]. So
[tex]y = -2x + b[/tex]
[tex]-6 = -2(6) + b[/tex]
[tex]b = 6[/tex]
So
[tex]y = -2x + 6[/tex]
Which one is a better deal? Deal 1: $7.65 for 9 iTunes songs Deal 2: $6.93 for 7 iTunes songs
Answers
Answer:
yeah I would say deal #1 is better
A chef used one-fifth of a bag of potatoes for a meal. If the potatoes fed 2 people, what fraction of the bag did each person get? (Will give brainliest)
Answers
Answer:
They each got 1/10th of the bag
Step-by-step explanation:
you just divide 1/5th by 2 which is 1/10
please help this is due in half an hour
Answers
Answer:
Can you show the whole question?
Answer:
The other endpoint is (-1, 1).
Step-by-step explanation:
What we know is one endpoint is at (5, -9). The midpoint is at (2, -4).
So, to find the slope, find (yB - yA)/(xB - xA)
(-4 -(-9))/(2 - 5)
(-4 + 9)/(2 - 5)
5/-3
The slope is -5/3.
Knowing this, subtract 3 from the midpoint's x, and add 5 to the midpoint's y.
((2 - 3), (-4 + 5))
The other endpoint is at (-1, 1).
Write 45% as a decimal.
Answers
Answer:
0.45
Step-by-step explanation:
Because you have to write 45% has money so 45.00 divide by 100 = 0.45 hope this is right and helpful. Can you mark me brainliest
£5-2 x 0.81=
Answer for school and explanation please. would be great help
Answers
Answer:
3.38
Step-by-step explanation:
first do the multiplication
2×0.81
= 1.62
then the subtraction
5- 1.62= 3.38
Write the equation of the line that passes through the points (7,-8) and (2, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answers
Answer:
The equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Step-by-step explanation:
We need to write the equation of the line that passes through the points (7,-8) and (2, -8).
We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
The general equation of point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]
where m is slope of the line.
To find the slope, we can use formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=7,y_1=-8,x_2=2, y_2=-8[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0[/tex]
So, we find the slope : m = 0
Now, using the point (7,-8) and slope m =0, the required equation is:
[tex]y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8[/tex]
So, the equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Each number line is shaded to represent a percent drag a percent to each number line that represents a percent.
Answers
Answer: For 25% put the smallest one and for 60% put the one with blue shaded over six lines not included 0 line the small lines bye
Step-by-step explanation:
no no no no no
solve and graph x-2y>_4
Answers
Answer:
hope this helps! (OwO)/
Step-by-step explanation:
Which point is located at (1, 2)?
5
A
4
3
2
1
-5-4-3-2
4
9
-2
3
-4
45
D
ОВ
Answers
Answer:
A
Step-by-step explanation:
[tex]y = 2 {}^{x} and \: y \: = 2 - {}^{x} [/tex]
graph each group of function in one plane describe the graph.
Please help me pleaseee :((
Answers
Step-by-step explanation:
[tex]y = {2}^{x} [/tex]
This is a basic exponential function.
[tex]y = {2}^{ - x} same \: as \: y = 0.5 {}^{x} [/tex]
The (-x) exponent makes a reflection in the y-axis.
cuanto es 2/15 ÷ 4/5=
Answers
Answer:
2/15 * 5/4= 10/60 simplify 1/6
Step-by-step explanation:
:)
Answer:
.2
Step-by-step explanation:
A rectangle has a perimeter of 50 centimeters. If the width of the rectangle is 10 centimeters, what is its length?
Answers
Answer:
15 cm
Step-by-step explanation:
The perimeter of a rectangle is 2(L + W), where L is length of the rectangle and W is the width.
If we plug in 10 for W, we get this:
2L + 2(10) = 50 <-- the perimeter
2L + 20 = 50
2L = 30
L = 15
help please pleasdes
Answers
Answer: Triangle A'B'C is an enlargement of triangle ABC
Step-by-step explanation: When figuring out whether a dilation of a triangle is an enlargement or reduction, you see if the scale factor is larger or smaller than 1. If the scale factor is less than 1, it's a reduction. If the scale factor is larger than 1, it's an enlargement. 4/3 > 1 so this means the triangle gets bigger and is an enlargement. This means triangle A'B'C is an enlargement of triangle ABC.
What is the surface area of a unit cube?
Answers
Answer:
6 units
Step-by-step explanation:
The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.
answer quick will give 20 points
Answers
Answer:
1
Step-by-step explanation:
the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)
Answer:
The correct answer to your question I believe is 1
Step-by-step explanation:
So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!
What's the difference between 5.4 x 10-7 and 7.1 x 10-8? Express your answer
using either standard notation or scientific notation.
Answers
Answer:
.76 x 10 or 7.6 x 10^0
Step-by-step explanation:
divide coefficients and subtract exponents
5.4 / 7.1 = .76
10^-7 / 10^-8 = 10