Tony must give 3 pencils to Peter,
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Let Peter has x pencils and Tony has y pencils.
Then, we have equation x=3y (Peters pencils are 3 times as Tony).
Total pencils = 30+14
= 44 pencils.
So, x + y=44
Put x= 3y we get
3y+ y= 44
4y= 44
y= 11
Thus, Tony must give 3 pencils to Peter,
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x2 - 4x + 4 = 20 please helpppppppp
Answer:
6.472
Step-by-step explanation:
Answer:
x = 2 ± 2√5 Exact solution
x = {-2.472, 6.472} Decimal approximation
Step-by-step explanation:
x² - 4x + 4 = 20
Subtract 4 from both sides
x² - 4x = 16
Complete the square using half the x coefficient, (-4/2 = -2), as the complete the square term
(x - 2)² = (-2)² + 16
(x - 2)² = 20
Take the square root of both sides
x - 2 = ±√20
x - 2 = ±2√5
Add 2 to both sides
x = 2 ± 2√5 Exact solution
x = {-2.472, 6.472} Decimal approximation
---------------------
Note this could also be solved using the quadratic formula
What is the value of the 8 in the number 28 451
Answer:
28451= 20000+8000+400+50+1
value of 8 =8000
Step-by-step explanation:
What is y=-6x+2 in standard form
On a long hike Sam drink 7 pints of water how much did he drink in quarts
Answer:
3 quarts and 1 pint
Step-by-step explanation:
2 pints equal 1 quart
Examine the graph of the function. The graph of a line that contains points (negative 1, 7), (0, 5), and (2, 1). © 2017 StrongMind. Created using GeoGebra. What is the initial value of the function? Enter your answer as a number, like this: 42
The initial value of the function is equal to 5.
How to determine the initial value of the function?In order to determine the initial value of the function, we would have to find the slope from line graph and then write the required equation based on the data points contained in the table by using the slope-intercept form.
Mathematically, the slope-intercept form of a line is modeled by this mathematical equation:
y = mx + c
Where:
m represents the slope.x and y are the data points.c represents the y-intercept or initial value.Next, we would determine the slope of the data points as follows;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (5 - 7)/(0 + 1)
Slope, m = -2/1
Slope, m = -2.
At point (0, 5), an equation of this line can be calculated in slope-intercept form as follows:
Note: The y-intercept or initial value is equal to 5.
y = mx + c
y = -2x + 5
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Ordena el siguiente Polinomio de forma ascendente con relacion a x: x4y – 7x2y3 – 5x5 + 6xy4 + y5 – x3y2
Answer:
El polinomio ordenado de forma ascendente y con relación a [tex]x[/tex] es [tex]p(x,y) = y^{5}+6\cdot y^{4}\cdot x -7\cdot y^{3}\cdot x^{2}-y^{2}\cdot x^{3}+x^{4}\cdot y -5\cdot x^{5}[/tex].
Step-by-step explanation:
El polinomio está en términos de dos variables: [tex]x[/tex], [tex]y[/tex]. Puesto que necesitamos ordenar el polinomio con relación a
[tex]p(x, y) = \Sigma\limits_{i = 0}^{n} \,c_{i} (y)\cdot x^{i}[/tex] (1)
Where:
[tex]i[/tex] - Índice i-ésimo del polinomio asociado al polinomio i-ésimo.
[tex]c_{i}(y)[/tex] - Coeficiente i-ésimo en función de [tex]y[/tex].
[tex]x, y[/tex] - Variables independientes.
[tex]p(x,y)[/tex] - Variable dependiente.
[tex]n[/tex] - Grado del polinomio.
A partir de esto y comparando (1) con la expresión del enunciado, encontramos que el último está formado por seis monomios y tiene grado 5. Al aplicar las propiedades algebraicas correspondientes tenemos que:
[tex]p(x,y) = y^{5}+6\cdot y^{4}\cdot x -7\cdot y^{3}\cdot x^{2}-y^{2}\cdot x^{3}+x^{4}\cdot y -5\cdot x^{5}[/tex]
How do I find the volume?Find the volume?
Answer:hello
Step-by-step explanation:
Answer:
V = 180 [tex]ft^{2}[/tex]
Step-by-step explanation:
Find the median and mean of the data set below:
11,2,44, 49, 33, 41
What is the Median
Mean is 30
Answer:
2 11 33 41 44 49
Step-by-step explanation:
33+41=74 74÷2=37
Answer: The medians the middle, so you put in order to 2, 11, 33, 41, 44, and 49. Then, you just pick the number in the middle and since it's 33 and 41, you add them together then divide by 2 and you answer is 37. I hope this helps you!
can anyone solve it use translation if found necessary.
On solving the provided, we can say that - here in graphs by solving the equation - [tex]x^2 + y^2 = > 2^2 = > 4[/tex]
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here from graph,
x= 0
and y = 2
so, in equation
[tex]x^2 + y^2 \\2^2\\4\\[/tex]
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Kristen worked 45 hours last week and made $9.25 per hour. Then she babysat her cousins from Friday to Sunday and made $50.00 per day. How much money did Kristen make?
A $416.25
B $462.50
C $566.25
D $150.00
Answer:c
Step-by-step explanation:45x9.25=416.25. 50x3=150. 416.25+150=566.25
Pls help quickly
Needed as soon as possible thank you in advance
a) Bearing from A to B is 253°.
b) Bearing from B to A is 287°.
What is a bearing?
A bearing is an angle measured clockwise from north in mathematics. Typically, bearings are expressed as a three-figure bearing.
a)
The bearing of 73° and the co-interior angle formed must total 180°. The counter-clockwise angle from B to A is 107°.
However a bearing must always be measured clockwise from north. 107° is counter-clockwise from north.
The clockwise angle on the other side is needed. Use the angle fact that angles in a full turn add to 360°.
To work the bearing, subtract 107° from 360°.
360° – 107° = 253° and so, the bearing of A from B is 253°.
b)
The bearing of 107° and the co-interior angle formed must total 180°. The counter-clockwise angle from A to B is 73°.
However a bearing must always be measured clockwise from north. 73° is counter-clockwise from north.
The clockwise angle on the other side is needed. Use the angle fact that angles in a full turn add to 360°.
To work the bearing, subtract 73° from 360°.
360° – 73° = 287° and so, the bearing of B from A is 287°.
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Plz help no link PLZ NO LINKSSSS THANK YOU
Answer: HHHHHMMM DEPENDING ON MY BRAIN IT IS 6
sorry if im wrong
Step-by-step explanation:
would this be sin, cos, or tan?
Answer:
tan
Step-by-step explanation:
its the opposite over adjacent
Answer:
tan
Step-by-step explanation:
sinx=Opposite/adjacent
Tanx=8.78/12
Find the approximate number of grams of milk fat in a 200-gram serving of whole milk.
The answer is :6.5g
What does 5 mean in maths?
5 (five) is a number, numeral, and digit.
It is a prime number and the natural and cardinal number that comes after 4 and before 6. Because most people have five digits on each hand, it has gained significance throughout history.
5 is the second super-prime and third-smallest prime number. It is the first of three known Wilson primes, the first good prime, the first balanced prime, and the first safe prime. The number five is also the third Catalan number, the third Sophie Germain prime, the third exponent of the third Mersenne prime, and the second Fermat prime.
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What is the difference of the first and third quartiles in 1. 96, 2. 09, 01. 79, 1. 61, 1. 75, 2. 11, and 1. 84
The difference is quartiles 3 - quartiles 1 = 2.05 - 1.79 = 0.26
What is the difference of the first and third quartiles ?The first quartile (Q1) is the 25th percentile of a dataset, which separates the lowest 25% of the data from the rest. The third quartile (Q3) is the 75th percentile of a dataset, which separates the lowest 75% of the data from the highest 25%. To find the difference between Q1 and Q3, you would subtract Q1 from Q3.
In this specific dataset, you would need to sort the values first in increasing order:
1.61, 1.75, 1.79, 1.84, 1.96, 2.09, 2.11
The first quartile (Q1) is the median of the lowest half of the dataset, which is 1.79
The third quartile (Q3) is the median of the upper half of the dataset, which is 2.05
so the difference is Q3 - Q1 = 2.05 - 1.79 = 0.26
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Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1?
10
9-
8
7
6
5
4
$
0
7
6
5
4
3
1 2 3 4 5 6 7 8 9
O
x
घ
A trapezoid will appear smaller than the original trapezoid if it is dilated with a scale factor between 0 and 1.
What shape is a trapezoid?An open, flat shape with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel.
What are a trapezoid's three characteristics?What three characteristics do trapezoids have? An isosceles trapezoid has equal base angles and diagonals. The midpoints of the two opposing sides are parallel to the point where the diagonals intersect. An isosceles trapezoid has opposite sides that are congruent to one another or have the same length.
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If √17 is a side length of a square, what does that mean about the area? Explain.
Answer:
It means the area of the square is 17.
Step-by-step explanation:
To find the area of a square you must multiply the length by the width (A=LxW)
to find area of square you would have to multiply squareroot of 17 by squareroot of 17 (because all 4 sides of a square are equal to each other). That would equal squareroot of 289. When you simplify that further, the answer would be 17.
A tudent aid -5 i le than -4 and |n | -5 | i le than | -4 | i the tudent correct? jutify your reaoning
The student is partially correct as -5 is less than -4 but ln |-5| is not less than ln |-4|.
What is reasoning?
We can ascertain the veracity of the supplied propositions using mathematical reasoning, often known as the mathematical reasoning principle.
A student said that -5 is less than -4.
This statement is correct and the reasoning is -
According to the number line, 0 is the midpoint.
From 0 to the right side of infinity the digits increases.
So, 1 is bigger than 0, 2 is bigger than 1, 3 is bigger than 2, and so on.
Similarly, from 0 to the left side of negative infinity the digits decreases.
So, -1 is smaller than 0, -2 is smaller than -1, -3 is smaller than -2, and so on.
The student also said that ln |-5| is less than ln |-4|.
This statement is false and the reasoning is -
First simplify ln |-5| and ln |-4| -
ln |-5| = ln (5)
ln (5) = 1.6094
ln |-4| = ln (4)
ln (4) = ln (2^2)
ln (2^2) = 2 ln (2)
2 ln (2) = 1.3862
Therefore, the student is partially correct.
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The angles of a triangle measure 88°, 53°, and 39º. Which of the following could NOT be the measure of an exterior angle of the triangle?
Answer:35° being the smallest interior angle of the triangle, the exterior angle attached to it is the largest. It measures 180° - 35° = 145°.p.
Step-by-step explanation:
find x pah lease and thank you
Answer: x=4
Step-by-step explanation: x+3=2x-1, then you do simple algebra
seven pounds of fertilizer can cover 1400 square feet can be covered by 2 pounds of fertilizer
The area for 2 pounds of fertilizer is 400 square feet
How to determine the amount of fertilizer for 2 pounds?
From the question, we have the following parameters that can be used in our computation:
seven pounds of fertilizer can cover 1400 square feet
This means that
7 pounds of fertilizer = 1400 square feet
Divide both sides of the equation by 7
So, we have the following representation
1 pounds of fertilizer = 200 square feet
Multiply both sides of the equation by 2
So, we have the following representation
2 pounds of fertilizer = 400 square feet
Hence, the area is 400 square feet
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Can you guys answer the top question thanks?
The required solution are as follows,
(A) Kyra's equation of line, passes through 15 pts.
(B) Liam's equation of line, passes through 20 pts.
(C) the equation of line passes through 30 pts is y = 4/3x + 5.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
Drawing the graph on the graph and evaluating which line pass through which points,
(A)
Kyra's equation of a line is y = 1/2 x
And from the graph, it is seen that the line passes through 15pts
Similarly,
(B) passes through 20 pts
(C)
from the graph, it is seen that equation y = 4/3x + 5 passes through 30 points.
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15 POINTS!!! HELP ASAP!! What are the domain and range of the function graphed below?
A. domain: {–∞ < x < ∞}; range: {y < 2}
B. domain: {–∞ < x < ∞}; range: {y ≤ 2}
C. domain: {x ≤ 2}; range: {–∞ < y < ∞}
D. domain: {x ≥ 2}; range: {–∞ < y < ∞}
Answer:
C. domain: {x ≤ 2}; range: {–∞ < y < ∞}
that's the right answer pramis:)
find the value of x
answer options
9,15,10,14
Answer:
14
Step-by-step explanation:
Hope this helps
what is the distance between point A and point B?
Answer: [tex]\sqrt{45}\\[/tex]
Step-by-step explanation:
Use Pythagorean Theorem-
a^2 + b^2= c^2
6^2 + 3^2 = c^2
36+9= c^2
c=[tex]\sqrt{45}\\[/tex]
Jessica earned $16 mowing a neighbor's yard. She bought a craft kit for $7.37. She used $3.75 to buy food for a food drive. She put the rest in her savings account. How much money did Jessica put in her savings account?
Answer:
$4.88
Step-by-step explanation:
Jessica made $16 mowing a neighbors yard
She brought a craft kit for $7.37
16-7.37
= 8.63
She used $3.75 to buy food for a food drive
8.63-3.75
= 4.88
Hence the amount Jessica put in the savings account is $4.88
Answer:$ 4.88
Step-by-step explanation: I hope this is right
La derivada de f(x)=3x^2-5x+2
Answer:
6x-5
Step-by-step explanation:
[tex]b^n=nb^{n-1}\\3x^2-5x+2=2*3x^{2-1}-5*1*x^{1-1}+0\\6x-5[/tex]
Answer:
La derivada de la función es: [tex]\bold{f'(x)=6x-5}[/tex]
Step-by-step explanation:
Recordemos que la derivada de
Una suma es igual a la suma de las derivadas: [tex][a + b + c]'=[a]'+[b]'+[c]'[/tex]Una constante es cero: [tex][k]'=0\;\;,\;\;\;\;\text{si}\;\;k=\text{constante}[/tex]Un producto es: [tex][ab]' = [a]'b + a[b]'[/tex]Una potencia: [tex][a^n]'=na^{n-1}[/tex]La derivada de la función [tex]f[/tex] con respecto a [tex]x[/tex] es definida como
[tex]f'(x)=\frac{df}{dx}\\f'(x)=\frac{d}{dx}(3x^2-5x+2)\\f'(x)=\frac{d}{dx}(3x^2)-\frac{d}{dx}(5x)+\frac{d}{dx}(2)[/tex]
donde
[tex]\frac{d}{dx}(3x^2)=\frac{d}{dx}(3)\,x^2+3\,\frac{d}{dx}(x^2)=(0)\,x^2+3\,(2x^{2-1})=0+3\,(2x^1)=6x[/tex][tex]\frac{d}{dx}(5x)=\frac{d}{dx}(5)\,x\;+\;5\,\frac{d}{dx}(x)=(0)\,x+5\,(1x^{1-1})=0+5\,(x^0)=5(1)=5[/tex][tex]\frac{d}{dx}(2)=0[/tex]Por lo tanto,
[tex]f'(x)=\frac{d}{dx}(3x^2)-\frac{d}{dx}(5x)+\frac{d}{dx}(2) \\f'(x)=6x-5+0 \;\;\;\;\;\Rightarrow\;\;\;\;\; \bold{f'(x)=6x-5}[/tex]
Let f(x)=5x and g(x)=sinx and h(x)=g(f(x))=sin(5x) What is h’(x)?
Answer:
Step-by-step explanation:
Derivation of composite functions concept.
h'(x)=g'(f(x))·f'(x)=(sin(5x))'×(5x)'=cos(5x)×5=5cos(5x)
Destiny is 56 3 4 inches tall. Glen is 1 1 2 inches taller than Destiny and Jane is 1 1 5 inches taller than Glen. How tall is Jane
By simple algebra, Jane is 57 9/20 inches taller.
In math, what does taller than mean?If one object or person's height exceeds that of another, the taller object or person is said to exist. There is a two-object or two-person limit. Taller is a relative term. For instance: Hoppy stands at 7 feet.
You can begin this issue by first figuring out Dwight's height. At 54 3/4 inches, he would be 1 1/2 inches taller than Chloe:
54 3/4 plus 1 1/2 equals 55 + (3/4 + 1/2) equals 55 + (3/4 + 2/4) equals 55 + 5/4 equals 56 1/4 inches.
Dwight stands at 56 1/4 inches.
Dwight is 1 1/5 inches shorter than Jane, so
56 1/4 plus 1 1/5 is 57 plus (1/4 plus 1/5) is 57 plus (5/20 plus 4/20) is 57 plus 9/20 is 57 9/20 inches.
Jane stands at 57 9/20 inches.
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