Answer:
12a + 3b = no solution
Step-by-step explanation:
You have to add like terms here!
7a + 5a = 12a
12a + 4b - b
4b - b = 3b
And now you're left with 12a and 3b, you can't go any further because 12 a and 3b are not like terms, you cannot add, or subtract them. Which means there is no solution.
I hope this helped :)
i need help, i cant understand the steps to get it to where it needs to be.
The transformations that take rectangle ABCD to rectangle A'B'C'D' are given as follows:
Rotation of 90º over vertex B.Translation right.What are transformations on the graph of a function?Transformations in the graph of a function involve operations such as multiplication/division or sum/subtraction, either in the domain of the function, involving values of x, or the range, involving values of y.
Examples of transformations are as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.For this problem, we have that:
Due to the orientation change, the figure was first rotated 90º over vertex B.Due to the position change, the function was translated right.More can be learned about transformations in a function at https://brainly.com/question/28687396
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Bo has $0.70 worth of nickels and dimes. He has a total of 10 nickels and dimes altogether. By following the steps below, determine the number of nickels, x, and the number of dimes, y, that Bo has.
2 nickles, 6 dimes. Not 100% sure but I think it's right
Simplify each number. 25³/₂
Factorization of 25 yields 5×5. In index form, this is written as 5^2. Use the power rule (a^m)^n = a^mn
25=5^2
25^(3/2) = (5^2)^(3/2)
5^(2x3/2)= 5^3
5x5x5 = 125
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Solve each equation.
2 e x-2=e x+7
After solving the given equation [tex]2 e^{x-2}=e^x+7[/tex], the value of [tex]x=\ln 7-\ln \left(2 e^{-2}-1\right)[/tex].
What is an equation, exactly?A mathematical statement made up of two expressions joined by an equal sign is known as an equation.3x - 5 = 16 is an example of an equation.We get the value of the variable x as x = 7 after solving this equation.So,
Given equation: [tex]2 e^{x-2}=e^x+7[/tex]
Then,
[tex]2 e^{x-2}=e^x+7\\2 \frac{e^x}{e^2}=e^x+7\\2 \frac{e^x}{e^2}-e^x=7\\e^x\left(2 e^{-2}-1\right)=7\\e^x=\frac{7}{\left(2 e^{-2}-1\right)}\\x=\ln \left(\frac{7}{\left(2 e^{-2}-1\right)}\right)\\x=\ln 7-\ln \left(2 e^{-2}-1\right)[/tex]
Therefore, after solving the given equation [tex]2 e^{x-2}=e^x+7[/tex], the value of [tex]x=\ln 7-\ln \left(2 e^{-2}-1\right)[/tex].
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Maria wants to write a linear function to describe the cost of a cab ride. The cab costs $3 per ride plus an additional $0.20 per mile. a. What is the function that describes the cost of the cab ride for any number of miles? b. how much is the fare for a 15-mile trip? c. How far can she afford to travel if she only has 10$
Answer:
add then simplify
Step-by-step explanation:
scientific notation for the following numbers (with a power of 10).... someone pleaaaase help me!!! thnx bestie
26,000
425,000
630,000
2,000,000
21,000
231,000
43,000,000
(a) The scientific notation of 26,000 is 2.6 × 10⁴ .
(b) The scientific notation of 425,000 is 4.25 × 10⁵ .
(c) The scientific notation of 630,000 is 6.3 × 10⁵ .
(d) The scientific notation of 2,000,000 is 2.0 × 10⁶ .
(e) The scientific notation of 21,000 is 2.1 × 10⁴ .
(f) The scientific notation of 231,000 is 2.31 × 10⁵
(g) The scientific notation of 43,000,000 is 4.3 × 10⁷ .
The scientific notation helps US to represent the numbers that ar terribly Brobdingnagian or terribly small during a kind of multiplication of single-digit numbers and ten raised to the facility of the individual exponent. The exponent is positive if the quantity is extremely giant and it's negative if the quantity is extremely tiny a × 10ᵇ ; 1 a < ten(a) As 26000 has three zeroes which can be represented by 10³.
scientific notation is given by 26 × 10³ which on simplification gives
2.6 × 10⁴
Hence, 2.6 × 10⁴ is that the scientific notation of the quantity.
(b) As 425000 has three zeroes which can be represented by 10³.
scientific notation is given by 425 × 10³ which on simplification gives
4.25 × 10⁵
Hence, 4.25 × 10⁵ is that the scientific notation of the quantity.
(c) As 630000 has four zeroes which can be represented by 10⁴.
scientific notation is given by 63 × 10⁴ which on simplification gives
6.3 × 10⁵
Hence, 6.3 × 10⁵ is that the scientific notation of the quantity.
(d) As 2,000,000 has six zeroes which can be represented by 10⁶.
scientific notation is given by 2 × 10⁶ which on simplification gives
2.0 × 10⁶
Hence, 2.0 × 10⁶ is that the scientific notation of the quantity.
(e) As 21000 has three zeroes which can be represented by 10³.
scientific notation is given by 21 × 10³ which on simplification gives
2.1 × 10⁴
Hence, 2.1 × 10⁴ is that the scientific notation of the quantity.
(f) As 231000 has three zeroes which can be represented by 10³.
scientific notation is given by 231 × 10³ which on simplification gives
2.31 × 10⁵
Hence, 2.31 × 10⁵ is that the scientific notation of the quantity.
(g) As 43,000,000 has six zeroes which can be represented by 10⁶.
scientific notation is given by 43 × 10⁶ which on simplification gives
4.3 × 10⁷
Hence, 4.3 × 10⁷ is that the scientific notation of the quantity.
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Question: scientific notation for the following numbers (with a power of 10).... someone pleaaaase help me!!! thnx bestie
26,000
425,000
630,000
2,000,000
21,000
231,000
43,000,000
Answer: (a) The scientific notation of 26,000 is 2.6 × 10⁴ .
(b) The scientific notation of 425,000 is 4.25 × 10⁵ .
(c) The scientific notation of 630,000 is 6.3 × 10⁵ .
(d) The scientific notation of 2,000,000 is 2.0 × 10⁶ .
(e) The scientific notation of 21,000 is 2.1 × 10⁴ .
(f) The scientific notation of 231,000 is 2.31 × 10⁵
(g) The scientific notation of 43,000,000 is 4.3 × 10⁷ .
The scientific notation helps US to represent the numbers that ar terribly Brobdingnagian or terribly small during a kind of multiplication of single-digit numbers and ten raised to the facility of the individual exponent.
The exponent is positive if the quantity is extremely giant and it's negative if the quantity is extremely tiny a × 10ᵇ ; 1 a < ten
(a) As 26000 has three zeroes which can be represented by 10³.
scientific notation is given by 26 × 10³ which on simplification gives
2.6 × 10⁴
Hence, 2.6 × 10⁴ is that the scientific notation of the quantity.
(b) As 425000 has three zeroes which can be represented by 10³.
scientific notation is given by 425 × 10³ which on simplification gives
4.25 × 10⁵
Hence, 4.25 × 10⁵ is that the scientific notation of the quantity.
(c) As 630000 has four zeroes which can be represented by 10⁴.
scientific notation is given by 63 × 10⁴ which on simplification gives
6.3 × 10⁵
Hence, 6.3 × 10⁵ is that the scientific notation of the quantity.
(d) As 2,000,000 has six zeroes which can be represented by 10⁶.
scientific notation is given by 2 × 10⁶ which on simplification gives
2.0 × 10⁶
Hence, 2.0 × 10⁶ is that the scientific notation of the quantity.
(e) As 21000 has three zeroes which can be represented by 10³.
scientific notation is given by 21 × 10³ which on simplification gives
2.1 × 10⁴
Hence, 2.1 × 10⁴ is that the scientific notation of the quantity.
(f) As 231000 has three zeroes which can be represented by 10³.
scientific notation is given by 231 × 10³ which on simplification gives
2.31 × 10⁵
Hence, 2.31 × 10⁵ is that the scientific notation of the quantity.
(g) As 43,000,000 has six zeroes which can be represented by 10⁶.
scientific notation is given by 43 × 10⁶ which on simplification gives
4.3 × 10⁷
Have an awesome night/day<3
Find the inverse of each function. Is the inverse a function?
y=-x²+5
The inverse of the function y=2x³+10 is y = [tex]\sqrt[-2]{x-5}[/tex] .
What exactly is an inverse variation?An inverse variation relationship is one in which one variable increases while the other decreases.When two quantities, say X and Y, are related in such a way that increasing X causes a decrease in Y and vice versa, this is known as indirect or inverse variation.
So,
Then,
-y² = x-5y = [tex]\sqrt[-2]{x-5}[/tex]Therefore, the inverse of the function y=2x³+10 is y = [tex]\sqrt[-2]{x-5}[/tex] .
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What type of triangle can an isosceles triangle be?
Answer:
having two side equal on triangle
Answer:
if the two side of triangle is same then we can say that the triangle is isosceles triangle
Mathematical equation -
What is -3 x 5/9?
Answer:
=-1.66
Step-by-step explanation:
Anita is making headbands for her softball team. She needs a total of
3
4
yard of fabric. Which types of fabric cost less than $8 per yard? Write yes or no in each blank.
Fabric Total Cost for
3
4
Yard ($)
Cotton 5.54
Flannel 2.62
Fleece 4.27
Terry Cloth 6.52
Answer: The fabrics that cost less than $8 per yard are cotton, flannel and fleece.
In order to determine the cost of a yard of each material, divide the total cost of 3/4 yards of that fabric by 3/4
cost of a yard = total cost ÷
Cost of a yard of cotton = 5.54 ÷ = 6.85
Cost of a yard of Flannel = 2.62 ÷ = 3.49
Cost per yard of Fleece = 4.27 ÷ = 5.69
Cost per yard of Terry Cloth = 6.52 ÷ = 8.69
Based on the above calculations, all but Terry cloth cost less than $8 per yard
Please someone solve this its homework
a. the length of the rectangle is 11 units while the width of rectangle is 7 units
b. The rectangles dimensions written as ordered pair (l, w) are
outer rectangle (11, 7)inner rectangle (5, 3)c. the points on coordinate can be (0, 0), (0, 11), (7, 11), and (7, 0).
d. The points are on the first quadrant because I plotted the points starting from the origin and moved in anticlockwise direction
How to calculate the dimensions of a rectangleGiven data
perimeter = 36 units
perimeter of inner rectangle = 16 units
From the inner rectangle as plotted: 5 units on the graph represents 5 units of the rectangle on the x axis and 3 units on the graph represents 3 units on the rectangle on the y axis.
let the length of the outer rectangle be 5x and the width be 3x such that, the perimeter is solved as:
2(5x + 3x) = 36
16x = 36
x = 2.25
For the length
= 5x
= 5 * 2.25
= 11.25
= 11 (as a possible whole number)
For the width
= 3x
= 3 * 2.25
= 6.75
= 7 (as a possible whole number)
Hence we can say that the length is 11 units and the width is 7 units
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Solve the equation p + 6 = −13 for p.
Write a fraction equivalent to 6/20 with a denominator of 50.
Answer:
15/50
Step-by-step explanation:
[tex]\frac{6}{20}[/tex] = [tex]\frac{x}{50}[/tex] Cross multiply
20x = 6(50)
20x = 300 Divide both sides by 20
x = 15
What is 25.9 rounded to the nearest whole number?
Answer:
26
Step-by-step explanation:
Answer: 26
Step-by-step explanation: When rounding you have to look and see if your number is above or below 5. Let's take your number for example.
25.9
Focus on the decimal point. If you notice, the number after the decimal point is above 5, therefore you should round it off to 26.
Hope it helps ^^
Last month, a printing press printed 934,920 newspapers, which were bound into identical bundles for easy transportation. How many newspapers could each bundle have contained?
The number of newspapers that each bundle have contained will be 23373 newspapers.
How to illustrate the information?From the information, the printing press printed 934,920 newspapers, which were bound into 40 identical bundles for easy transportation.
Therefore, the number of newspapers that each bundle have contained will be:
= Total newspaper / Number of bundle
= 934920 / 40
= 23373
Therefore, the number of newspapers that each bundle have contained will be 23373 newspapers.
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Last month, a printing press printed 934,920 newspapers, which were bound into 40 identical bundles for easy transportation. How many newspapers could each bundle have contained
Write each expression in simplest form. (x²/₃ )⁻³
The give expression can be written in the simplest form by solving the exponents.
The rules applicable to the expression are rule for negative exponent and power rule of exponents. Either one can be used first. In this case we will multiply the exponents and then solve for the negative exponent.
According to the power rule of exponents, when an exponential expression is raised to a new power, the exponents are multiplied i.e. (a^x)^y=a^xy
(x^2/3)^-3=x^(2/3)*-3=x^-2
According to the rule of negative exponents, the term with the negative exponent can be solved by expressing it as a reciprocal of the term i.e. a^-x=1/a^x
x^-2=1/x^2
The simplest form of the expression (x^2/3)^-3 is 1/x^2.
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help me please
show your solution
Answer:
Rule: Multiplying ×5 in turn
50 { third term}
1,250 {fifth term}
Step-by-step explanation:
2 × 5 = 10 {second term}
10 × 5 = 50 { third term}
50 × 5 = 250 { fourth term}
250 × 5 = 1,250 {fifth term}
Which expression below is equivalent to 10x-35?
(1) 5(2x-7)
(3) 10(x-5)
12) x(10-35)
(4) 10(x-35)
A family spends 3/7 of their monthly income
on food,5/14
on clothing and 1/5
on rent.
What fraction of the family's income is
spent on other things? If in a particular
month, the family spends GH&2,400 on
other things, how much did the family
spend on clothing? What was the family's
income for the month.
They spent 1/70 of their monthly income on other things.
The family spent GH¢60,000 on clothing.
The monthly income of the family is GH¢168,000.
What is Fraction?
The number is expressed as a quotient in which the numerator is divided by the denominator is called fraction.
Since, The family spend;
On food = (3/7)*x
On clothing = (5/14)*x
On rent = (1/5)*x
Let the family's monthly income = x
Now, To find the fraction of the family's income is spent on other things, we can assume that y is spent on other things, then we should have;
(3/7)*x + (5/14)*x + (1/5)*x + y*x = x
We can divide both sides by x, we get:
(3/7) + (5/14) + (1/5) + y = 1
Now, we can solve this for y as;
3/7 + 5/14 + 1/5 + y = 1
6/14 + 5/14 + 1/5 + y = 1
(6 + 5)/14 + 1/5 + y = 1
11/14 + 1/5 + y = 1
The smallest common factor of 14 and 5 = 14*5 = 70
So, we can multiply in the first fraction by 5/5 and the second by 14/14,
(5/5)*(11/14) + (14/14)*(1/5) + y = 1
55/70 + 14/70 + y = 1
69/70 + y = 1
y = 1 - 69/70
y = 1/70
Hence, They spent 1/70 of their monthly income on other things.
And, On a particular month, the family spends GH¢2,400 on other things, then if the monthly income is x, we have:
(1/70)*x = GH¢2,400
x = 70* GH¢2,400
x = GH¢168,000
So, The monthly income of the family is GH¢168,000
And, we know that they spend (5/14)*x on clothing,
Then this month they spent on clothing,
⇒ (5/14)*GH¢168,000 = GH¢60,000
So, They spent 1/70 of their monthly income on other things.
The family spent GH¢60,000 on clothing.
The monthly income of the family is GH¢168,000.
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Factor each expression completely. 25 x²-40 x y+16 y²
The expression 25x^2 - 40xy + 16y^2 can be factored as (5x - 4y)(5x - 4y).
Factorization is defined as the process of breaking down a number or polynomial into factors that when multiplied will give the same value.
The expression 25x^2 - 40xy + 16y^2 resembles the form
ax^2 + bxy + cy^2 which has factors (mx + ny)(ox + py).
Factoring polynomial expression like 25x^2 - 40xy + 16y^2 can be done by grouping method shown earlier.
Find the two pairs of numbers whose products are 25 and 16.
Taking 5 and 5, and 4 and 4 as the pair of numbers.
(5x - 4y)(5x - 4y)
Checking the product of this factors:
(5x -4y)(5x - 4y)
25x^2 - 20xy - 20xy + 16y^2
25x^2 - 40xy + 16y^2
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-8(b + 3)
I need help with this math question it has to be in distributive property.
Answer: -8b - 24
Step-by-step explanation:
For distributive property, you multiply the number outside of the parenthesis (8) by the numbers/variables inside the parenthesis (b and 3)
-8 × b = -8b
-8 × 3 = -24
What are the domain and range of the function f(x) = (x³ +6x² +5x-4)?
1
-10-8 -6
9
-4
10
00
8
6
4
ONL
to
$9
9.
-10
2
4
6
00
8
10 x
Answer:
1. roots may be +/-1,2,3,6 and fractions
A root must be minus since if they were positive, the function would be >0.
-1 works by inspection, so (x+1) is a factor.
-1/1==6==11==6
1===5===6==0
the factors are (x-1)(x^2+5x+6)=(x+1)(x+2)(x+3)
Roots are -1, -2,-3
-
2.x^3-7x+6, Try+/-1,2,3,6
start with 1, and1-7+6=0; (x-1) is a factor
can divide
1/1=0==-7===6
1---1-- -6===0
The factors are (x+1)(x^2+x-6)=(x-1)(x+3)(x-2)
roots are 1,2,-3
-
3.x^3+x^2-12x
factor out an x
x(x^2+x-12)=x(x+4)(x-3)
roots are 0, -4, 3
-
4.9x^3-7x+2
roots can be +/-1, and +/-2 along with (1/3) (2/3),(1/9), (2/9)
-1
(x+1) is a factor.
-1/9===0== -7===2
9----- -9===2====0
(x+1)(9x^2-9x+2)
factor the last with +/- 1, 2.
second factors by noting x^2-9x+18 factors Into (x-6)(x-3)
divide the constant by 9 and put the denominator in front
(3x-2)(3x-1)
so the roots are -1, (2/3), and (1/3)
-
5x³+4x²-31x+6, note: I will assume 31 x.
Roots include (1/5)(2/5)(3/5)(6/5) along with
+/- 1,2,3,6, and 1, -1 do not work by inspection
2/5===4=== -31===6
5------14---- -3===0
so (x-2)(5x^2+14x-3)
or (x-2)(5x-1)(x+3) are the factors
roots are 2, (1/5), -3
hope this helps
Pedro went to the store and spent $36.85. He paid with a $50 bill. How much money will he get back as
change? Show All Your Work for full credit
Answer: 13.15
Step-by-step explanation:
50
-
36.85
Answer:
Step-by-step explanation:
13.50
need help please and fast
Micah sketches the graph below to represent a scenario his teacher gave him
Which scenario could Micah's graph represent?
1.Micah's plant is 1 inch and then grows at a rate of 2 inches per week (where x is the number of weeks), for a total of
y inches.
2.Micah's plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y
inches.
3.Micah's plant grows 2 inches per week (where x is the number of weeks) and has a starting height of 1 inch, for a
total of y inches.
4.Micah's plant grows 1 inch per week (where x is the number of weeks) and has a starting height of 1 inch, for a total
of y inches.
A scenario which Micah's graph could represent is: 2. Micah's plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
How to calculate the average rate of change?Mathematically, the average rate of change (slope) of any straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Substituting the given points into the formula, we have;
Average rate of change = (6 - 2)/4 - 0)
Average rate of change = 4/4
Average rate of change = 1.
Therefore, Micah's plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.
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Answer: b or Micah’s plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.
Step-by-step explanation:
SUPER URGENT!!
Joe and his brother are collecting money for a charity. Joe has already collected $170 and plans to earn at least $20 per week. His brother has $80, but plans to earn at least $40 per week. How many weeks until Joe's brother has more money than Joe? How much money will they each have at that point?
Please examples ALL OF THE STEPS YOU USED TO FIND THE ANSWER, or it's going to be useless. Thanks.
In 5 weeks Joe's brother will have more money than Joe
How to calculate the amount of money ?Joe and his brother are collecting money for charity
Joe has collected $170 and he plans to earn $20 weekly
His brother has already collected $80 and he plans to earn $40 weekly
Let's start off with Joe and the amount he will be earning weekly
First week: 170 + 20 = 190
Second week: 190 + 20 = 210
Third week: 210 + 20 = 230
Fourth week: 230 + 20= 250
Fifth week: 250+20= 270
Next is to calculate Joe's brother earnings
First week: 80 + 40 = 120
Second week: 120 + 40 = 160
Third week: 160 + 40 = 200
Fourth week: 200 + 40= 240
Fifth week: 240 + 40 = 280
In five weeks Joe's brother will earn $280 while Joe will earn $270
Hence Joe bother will have more money that joe in 5 weeks
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Simplify m9m−3 pls answer asap
After simplification of m9m - 3 the answer is 3(3[tex]m^{2}[/tex] - 1).
Given that :
= m9m - 3
a. Reordering terms:
= 9mm - 3
b.Exponents combining:
= 9mm -3
= 9[tex]m^{2}[/tex] - 3
c.Common value factor:
= 9[tex]m^{2}[/tex] - 3
Take 3 has common
= 3(3[tex]m^{2}[/tex] - 1)
Therefore after simplification of m9m - 3 the answer is 3(3[tex]m^{2}[/tex] - 1).
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Simplify each number. 10,000⁰.⁷⁵
The result of simplifying each number 10,000⁰.⁷⁵ using the properties of exponents is 1
To solve this exercise we have to resolve algebraic operations following the exponent properties.
(10,000⁰)⁷⁵
Using the zero exponent rule that indicates that: any base with an exponent of zero is equal to one, we have:
1⁷⁵
One multiplied by itself many time will be one
1
What is an exponent?In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
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Pleaseeeee helpppppp
Answer:
56°
Step-by-step explanation:
The angles are supplementary. They add up to 180°
So ∠AYZ + ∠AYX = 180
6x+4 + 3x - 4 = 180
9x = 180
x = 20
Measure of ∠AYX = 3x - 4 = 3 x 20 - 4 = 60 -4 = 56°
Sep 26, 8:04:36 AM
Watch help vide
For a given recipe, 24 cups of flour are mixed with 16 cups of sugar. How
many cups of flour should be used if 14 cups of sugar are used?
Assuming a constant ratio, fill out the table
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. If For a given recipe, 24 cups of flour are mixed with 16 cups of sugar. then 21 cups of flour should be used if 14 cups of sugar are used.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
24 cups of flour are mixed with 16 cups of sugar.24:16
x cups of flour should be used if 14 cups of sugar .x:14
Now
24/16=x/14
Cross multiply
24*14=16x
336=16x
x=21.
Therefore 21 cups of flour should be used if 14 cups of sugar are used.
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