Answer:
5040a^2b^2
Step-by-step explanation:
(3a2b7)(5a3b8)
(42ab)(120ab) multiply everything inside each parenthensis
42ab * 12ab remove parenthesis
5040a^2b^2 multiply
PLEASE HELPP !!
4 friends shot free throws for a charity event. Adam scored 8 more points than Cheryl. Laura scored twice as many points as Adam. Tom scored 10 points less than Laura. Together the four friends scored a total of 66 points.
Answer:
c = 6
a = 14
l = 28
t = 18
Step-by-step explanation:
Free throws are usually worth one point each. We can assign variables and use equations to link information between Adam, Cheryl, Laura, and Tom. Then, we can just substitute in our information and solve.
"Adam scored 8 more points than Cheryl"
a = c + 8
"Laura scored twice as many points as Adam"
l = 2a
"Tom scored 10 points less than Laura"
t = l - 10
"Together the four friends scored a total of 66 points"
a + c + l + t = 66
Now we substitute in our variables and solve from there (see attached image)
c = 6
a = 14
l = 28
t = 18
Please help and give an explanation!:)
Answer: D) All real numbers greater than or equal to -4.
Explanation:
The lowest point occurs when y = -4, which is where the vertex is located.
The range consists of y values such that y = -4 or y > -4. We can shorten that last sentence to say [tex]y \ge -4[/tex]. So y is greater than or equal to -4.
As you can probably tell, the range is the set of all possible outputs of a function.
Draw the graphs of the equations x + y = 5, y = - 2 and x = 1 on the same Cartesian
plane. Shade the region bounded by these graphs, name the figure obtained and find its area.
HELP ME FASTTT
The graph is attached in the figure where the area between the curves has been shaded. As can be seen, the triangle formed is a right triangle whose lengths of its legs is 7. Therefore, its area will be:
[tex]A =\dfrac{7\cdot 7}{2} = \dfrac{49}{2} = 24.5\;u^2[/tex]
how to solve -7(8s+9f) s=-5 f=-3
Answer:
469
Step-by-step explanation:
plug in values and solve
HELP PLS‼️Given j || k, give two angles that are corresponding
Answer:
angle 6 and angle 2 are corresponding
5) Diseñar un sistema de ecuaciones lineales y resolverlo a través del método de Gaussiana, que permita resolver el siguiente problema: -Un ingeniero realiza las siguientes observaciones sobre las ventas de impresoras en una tienda: Hay impresoras Epson, Hp y Cannon. El número de impresoras Epson y Hp es cinco veces el número de las Cannon. Además, el número de impresoras Epson es el triple que el de la Cannon y el total de impresoras Cannon y Hp asciende a 12.
Answer:
[tex]X=12[/tex]
[tex]Y=8[/tex]
[tex]Z=4[/tex]
Step-by-step explanation:
Comencemos definiendo las variables ⇒
[tex]X:[/tex] '' Número de impresoras Epson ''
[tex]Y:[/tex] '' Número de impresoras Hp ''
[tex]Z:[/tex] '' Número de impresoras Cannon ''
Ahora , dado que tenemos las variables definidas podemos escribir el sistema de ecuaciones lineales
''El número de impresoras Epson y Hp es cinco veces el número de las Cannon''
Para esa oración escribimos la siguiente ecuación :
[tex]X+Y=5Z[/tex] (I) que se puede reescribir como
[tex]X+Y-5Z=0[/tex] (II)
''El número de impresoras Epson es el triple que el de las Cannon''
Para esa oración escribimos la siguiente ecuación :
[tex]X=3Z[/tex] (III) que se puede reescribir como
[tex]X-3Z=0[/tex] (IV)
''El total de impresoras Cannon y Hp asciende a 12''
Para ésta última frase escribimos la última ecuación :
[tex]Y+Z=12[/tex] (V)
Con (II), (IV) y (V) armamos el sistema de ecuaciones lineales :
[tex]X+Y-5Z=0\\X-3Z=0\\Y+Z=12[/tex]
Lo resolvemos a través del método de Gauss insertando el sistema en una matriz y realizando operaciones de fila entre las respectivas filas de la matriz :
[tex]\left[\begin{array}{ccxc}1&1&-5&0\\1&0&-3&0\\0&1&1&12\end{array}\right][/tex]
Realizando operaciones entre filas se lleva a la siguiente matriz equivalente :
[tex]\left[\begin{array}{cccc}1&1&-5&0\\0&-1&2&0\\0&0&3&12\end{array}\right][/tex] En esta matriz el sistema de ecuaciones asociado es
[tex]X+Y-5Z=0\\-Y+2Z=0\\3Z=12[/tex]
De aquí encontramos que [tex]Z=4[/tex] , [tex]Y=8[/tex] y [tex]X=12[/tex] (encontramos primero el valor de [tex]Z[/tex] en la última ecuación, de allí reemplazamos en la segunda ecuación para hallar el valor de [tex]Y[/tex]. Finalmente el valor de [tex]X[/tex] se calcula con la primera ecuación)
La solución a éste sistema de ecuaciones es
[tex]X=12[/tex]
[tex]Y=8[/tex]
[tex]Z=4[/tex]
Es recomendable reemplazar éstos valores en el sistema original para verificarlos.
Hi. I need help with these questions.
See image for question.
Answer 14 and 13
Answer:
13) 36x² + 9x - 4 = 014) 21x² + 20x + 100 = 0Step-by-step explanation:
13.
GivenQuadratic equation
4x² - 3x - 4 = 0With the roots of α and βTo Find The quadratic equation with roots of 1/(3α) and 1/(3β)SolutionThe sum and the product of the roots of the given equation:
α + β = -b/a ⇒ α + β = -(-3)/4 = 3/4αβ = c/a ⇒ αβ = -4/4 = - 1New equation is:
(x - 1/(3α))(x - 1/(3β)) = 0x² - (1/(3α) + 1/(3αβ))x + 1/(3α3β) = 0x² - ((3α + 3 β)/(3α3β))x + 1/(3α3β) = 0x² - ((α + β)/(3αβ))x + 1/(9αβ) = 0x² - (3/4)/(3(-1))x + 1/(9(-1)) = 0x² + 1/4x - 1/9 = 036x² + 9x - 4 = 0===================
14.
GivenQuadratic equation
3x² +2x + 7 = 0With the roots of α and βTo Find The quadratic equation with roots of α + 1/β and β + 1/αSolutionThe sum and the product of the roots of the given equation:
α + β = -b/a ⇒ α + β = -2/3αβ = c/a ⇒ αβ = 7/3New equation is:
(x - (α + 1/β))(x - (β + 1/α)) = 0x² - (α + 1/β + β + 1/α)x + (α + 1/β) (β + 1/α) = 0x² - (α + β + (α + β)/αβ )x + αβ + 1/αβ + 2 = 0x² - (-2/3 - (2/3)/(7/3))x + 7/3 + 1/(7/3) + 2 = 0x² - (-2/3 - 2/7)x + 7/3 + 3/7 + 2 = 0x² + (14 + 6)/21x + (49 + 9 + 42/21) = 0x² + 20/21x + 100/21 = 021x² + 20x + 100 = 0Give a number between -5 and 5 that can be use in the blank to make the equation false? (whole numbers only please)
3x + 2 = 3x + ___
Janet can make 4/5 of a necklace in 20 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can Janet make in 1 hour?'
Answer:
4
Step-by-step explanation:
4/5 x 5
Which value of x is in the solution set of -2(3x + 2) > -8x + 6?
Step-by-step explanation:
-2(3x+2)>-8x+6
when eq. is divided by 2,
-3x-2>-4x+3
x >5
The solution set of -2(3x+3)>-8x+6 is {x/x>5}.
Solve x+4/4 = x/x-2
Answer:
After solving the equation [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex] we get x=-2 and x= 4 i.e {-2,4}.
Option B is correct.
Step-by-step explanation:
We need to solve [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex]
Solving:
[tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex]
Cross multiply
[tex](x-2)(x+4)=x*4[/tex]
Multiplying:
[tex]x(x+4)-2(x+4)=4x\\x^2+4x-2x-8=4x\\x^2+2x-8-4x=0\\x^2-2x-8=0[/tex]
Now, we have got quadratic equation [tex]x^2-2x-8=0[/tex]
Solving this quadratic equation using quadratic formula
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]
We have a=1, b=-2 and c=-8 Putting values
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(1)(-8)}}{2(1)}\\x=\frac{2\pm\sqrt{4+32}}{2}\\x=\frac{2\pm\sqrt{36}}{2}\\x=\frac{2\pm6}{2}\\x=\frac{2+6}{2} \ or \ x=\frac{2-6}{2}\\x=\frac{8}{2} \ or \ x=\frac{-4}{2}\\x=4 \ or \ x=-2[/tex]
So,after solving the equation [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex] we get x=-2 and x= 4 i.e {-2,4}.
Option B is correct.
The Jeffer's company has a debt ratio (total debt to total assets) of 0.365. If their total debt is $500,000, what are their total assets?
Given:
Total debt ratio (total debt to total assets) = 0.365
Total debt = $500,000
To find:
The total assets.
Solution:
We know that,
[tex]\text{Total debt ratio}=\dfrac{\text{Total debt}}{\text{Total assets}}[/tex]
On substituting the given values, we get
[tex]0.365=\dfrac{500,000}{\text{Total assets}}[/tex]
[tex]\text{Total assets}=\dfrac{500,000}{0.365}[/tex]
[tex]\text{Total assets}=1369863.0137[/tex]
Therefore, the value of total assets is $1369863.0137.
What does This equation equal ?3.91 x 10-2 =
Answer:
37.1
Step-by-step explanation:
Hope this is the right answer.
Write a compound inequality that the graph could represent.
x ≥ –4 or x < 2
–4 < x ≤ 2
–2 ≤ x < 4
–4 ≤ x < 2
The compound inequality is represented by –4 ≤ x < 2 , Option C is the answer.
What is an Inequality ?An inequality is a statement that consist of expressions equated by constants or other expressions by an inequality operator.
From the line shown below , the compound inequality has to be determined
There is an open dot on + 2 and closed dot on -4
so x ≥ –4 , x < 2
and this is represented by –4 ≤ x < 2
Therefore Option C is the answer.
To know more about Inequality
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Show work
will mark best answer as brainliest
Will report wrong answers
Your first job after college has a salary of $35,000 and will increase 6.5% each year. If you stay with the same position, what you will make after working for 8 years?
Answer:
Step-by-step explanation:
35000*6.5%= 2275+35000=37275 year one
37275*6.5%=2422.88+37275=39697.88 year two
It comes out to $18200 more or 53,200
Someone please help me I really forgot how to do this!
y = mx + b
m = slope or rate of change
b = y-intercept
x = input
y = output
Answer:
x= input
y= output
Step-by-step explanation:
how do u get point???
i really would love more point!!
Answer:
Step-by-step explanation:
Hi. You need to answer the questions that people have. Just like I'm answering yours, I get some points. This way you get help on your homework and you can help others.
i need help please!
Answer:
C
Step-by-step explanation:
Adding 30and 70 first gives 100.
How can you tell if a linear system of equations has an infinite number of solutions?
DONT GET THIS 20 POINTS!!!!
What is the value of x?
Answer:
x = 50
Step-by-step explanation:
these are vertical angles meaning they are congruent so
[2(x+10)] = (3x-30) then use distributive property
(2x+20) = (3x-30) subtract 2x from both sides
20 = x - 30 add 30 to both sides
x = 50
Answer:
x = 50
Step-by-step explanation:
We know that 2(x+10) = (3x-30) because it is on opposite sides of an "x".
We just set them equal to each other and solve for x!
2(x+10) = 3x - 30
2x + 20 = 3x - 30
20 = x - 30
50 = x
Is (0,1) included in the solution of the system
−x + y < 1 and
x + y ≥ −3
True
False
At JR Market, soda costs $2.55 for 3 liters. How much will it cost for 5 liters?
Answer:
It will cost $4.25 for 5 liters.
Step-by-step explanation:
$2.55 ÷ 3 = $0.85
$0.85 x 5 = $4.25
Write the sentence as an equation.
124 is 96 reduced by f
Answer:
f-96=124
Step-by-step explanation:
This is the equation of the sentence that has been mentioned.
(Brainliest at Random!!!!!!!!!!!!!!!)
Answer:
the last one.
(x^3)^3--3^2
x^6-3^2
x^6-9
(x^3)^3--3^2
Step-by-step explanation:
What is the slope of the line?
Answer:
y=1x+1
Slope is 1
Step-by-step explanation:
Slope = rise/run.
We go up 1 and run 1. The slope is 1.
Let me double check.
The line passes through the points (-1,0) and (0,1).
m = delta y ÷ delta x
m = (0 - 1)/(-1 - 0)
m = -1/-1
m = 1
Yep. The slope is 1.
Can someone help me with 3.7.2 walking your dog business the whole assignment
The whole assignment?
Blair's garden is four feet shorter than double its width. The perimeter of the garden is 64 feet.
The width of the garden is ___ feet.
The length of the garden is ____ feet.
Answer:
The width of the garden is 12 feet.
The length of the garden is 20 feet.
Step-by-step explanation:
Let l be the length and w be the width
Then according to given statements
[tex]l = 2w-4\ \ \ Eqn\ 1[/tex]
Second equation is:
[tex]2l+2w = 64\ \ \ \ Eqn\ 2[/tex]
Putting l = 2w -4 in equation 2
[tex]2(2w-4)+2w = 64\\4w-8+2w = 64\\6w -8 = 64\\6w = 64+8\\6w = 72\\\frac{6w}{6} = \frac{72}{6}\\w = 12[/tex]
Putting w = 12 in equation 1
[tex]l = 2(12)-4 = 24-4 = 20[/tex]
Hence,
The width of the garden is 12 feet.
The length of the garden is 20 feet.
9) Manny is 7 years older than David. Jeremy is 2 years younger than Manny. Their combined
ages equals 102. How old are Manny, Jeremy and David?
Step-by-step explanation:
answer is done over here step by step
Answer:
Manny: 37 years old
Jeremey: 35 years old
David: 30 years old
Step-by-step explanation:
First, we must divide 102 by 3, since there are 3 people in this scenario.
102 ÷ 3 = 34
We know that 34 is an estimate of each person's age, but there's still more work to do.
Manny is seven years older than David:
30 + 7 = 37
Jeremey is 2 years younger than Manny:
37 - 2 = 35
37 + 35 + 30 = 102
Hope this helps! :)
Given:5y-1/2=7 prove y=3
I am confused on the steps to get 3!
Answer:
y=3/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5y+ −1/2=7
Step 2: Add 1/2 to both sides.
5y+/−1/2+1/2=7+1/2
5y=15/2
Step 3: Divide both sides by 5.
5y/5
=
15/25
y=3/2
The solution of the given equation is y = 3/2.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operations is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have given the equation as
⇒ 5y - 1/2 = 7
Add 1/2 to both sides in the above equation.
⇒ 5y - 1/2 + 1/2 = 7 + 1/2
⇒ 5y = 15/2
Divide both sides by 5
⇒ y = 15/10
⇒ y = 3/2
Hence, the solution of the given equation is y = 3/2.
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