Answer:
Let Elga's Age be x and Alvin's age be 3x
x + 3x = 116
4x = 116
x = 116/4
x = 29
Therefore , 3x = 3(29) = 87
Elga's Age - 29
Alvin's Age - 87
what is
(-1/3)+1/4+(-1/5)
Answer:
-17/60
Step-by-step explanation:
(-1/3)+1/4+(-1/5)
An error has been made in subtracting the two polynomials shown in the work below the problem is (6x^2-4x-5)-(3x^2-7x=2)
Answer/Step-by-step explanation:
Let's work out the subtraction of the polynomial to find out where the error is and the correct result we should have.
6x² - 4x - 5
- 3x² - 7x + 2
= [6x² - 3x²] [-4x -(-7x)] [-5 -(+2)]
= 3x² + 3x - 7
The error that was made in the subtraction given in the question was that the negative signs before the terms, 7x and 5 were ignored while subtracting.
The sign is very important, it defines the value of the term.
We can choose to solve the problem in another way shown below:
(6x² - 4x - 5) - (3x² - 7x + 2)
Distributive the negative sign in the second polynomial
6x² - 4x - 5 - 3x² + 7x - 2
Combine like terms
6x² - 3x² - 4x + 7x - 5 - 2
3x² + 3x - 7
Factor 8x3 − 343.
A) (2x − 7)(4x2 + 14x + 49)
B) (2x − 7)(4x2 + 28x + 49)
C) (2x − 7)(4x2 −14x + 49)
D) (2x − 7)(4x2 − 28x + 49)
Which expression is equivalent to 27x3 + 125?
A) (3x – 5)(9x2 – 15x + 25)
B) (3x – 5)(9x2 + 15x – 25)
C) (3x + 5)(9x2 – 15x + 25)
D) (3x + 5)(9x2 + 15x – 25)
please explain if you could, thank you
Answer:
A) (2x − 7) (4x² + 14x + 49)
C) (3x + 5) (9x² − 15x + 25)
Step-by-step explanation:
Sums and differences of cubes factor as:
a³ + b³ = (a + b) (a² − ab + b²)
a³ − b³ = (a − b) (a² + ab + b²)
8x³ − 343 is a difference of cubes.
(2x)³ − 7³
(2x − 7) (4x² + 14x + 49)
27x³ + 125 is a sum of cubes.
(3x)³ + 5³
(3x + 5) (9x² − 15x + 25)
If f(x)= x+7 and g(x)= 1/x-13
A forensic accountant usually takes additional coursework in which field?
Answer:
law enforcement
Step-by-step explanation:
can yall please start answering more questions about the subject
ASAP!!! Please help! Due in 15 mins!!!! Help me plsss!!!!
Which equation represents the function described by this table?
A) f (x) = x + 7
B) f(x) = -7x
C) f (x) = x - 7
D) f (x) =7x
For the right triangles below, find the exact values of the side lengths b and d.
If necessary, write your responses in simplified radical form.
60°
30°
5
b
=b
45°
45°
d
7
=d
Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
What is
10x + 300 = 800
Pls
Answer:
x = 50
Step-by-step explanation:
10x + 300 = 800
subtract 300 from both sides
10x = 500
divide each side by 10
x = 50
Step-by-step explanation:
First group like terms
10x
[tex]10x + 300 = 800 \\ [/tex]
300 moves and joins 800 on the other side making it negative
[tex]10x = 800 - 300 = 500[/tex]
[tex]10x = 500[/tex]
10 then divides 500
Making the answer x=50
Which of these distributions is most likely to show data collected while studying the number of the plates people use while eating at an all you can eat buffet explain your reasoning
Answer: The second distribution.
Step-by-step explanation:
We should to expect to see a large density for the lowest number of plates (because is more common to eat 1, 2 or 3 plates than more)
For example, in the first distribution, we can see a normal distribution with a mean of 6.
This does not really make sense, because 6 plates is really a lot.
The third distribution has two peaks, one at 1 plate that has a lot of sense, and another at 10 plates, so this also does not have really a lot of sense (again, 10 plates is really a lot)
The fourth distribution seems to be even for all the number of plates, which would say that there is almost the same number of customers that eat 1 or 2 plates than the number that eats 9 or 10. This does not seem really logical, so we can assume that this is incorrect.
The second distribution is the correct one, because we see a larger density at a smaller number of plates (with a maximum at 2 plates) and the number of customers starts decreasing as the number of plates decreases (in this case, we can see that no one ordered more than 9 plates, which makes a lot of sense)
if t(x)=-x+3, then what is f(x)=(t*t)(x)
Answer:
[tex]f(x) = {x}^{2} - 6x + 9[/tex]
Step-by-step explanation:
If f(x) = (tt)(x), that's essentially squaring t(x) so
[tex]f(x) = {t(x)}^2 \\ f(x) = (-x +3)^2 \\ f(x) = (-x +3)(-x +3) \\ f(x) = -x(-x +3) +3(-x +3)\\ f(x) = x^2 -3x -3x +9 \\ f(x) = x^2 -6x +9[/tex]
(3x2 - 5x + 6) + (2x2 + 7x - 9)
Which of the following is equivalent to the expression above?
A triangle has a perimeter of 26 inches. The medium side is 6 more than the short side, and the longest side is 3
times the length of the shortest side. Find the shortest side?
Answer:
where is your formula? pliz tell me
16.56 divided by 0.08=
Answer:207
Step-by-step explanation:
What is the name of this shape?
Answer:
octagon
Hope it helps
I am sure about this
Before each class, I either drink a cup of coffee, a cup of tea, or a cup of water. The probability of coffee is 0.7, the probability of tea is 0.2, and the probability of water is 0.1. If I drink coffee, the probability that the lecture ends early is 0.3. If I drink tea, the probability that the lecture ends early is 0.2. If I drink water, the lecture never ends early. 1) What’s the probability that I drink tea and finish the lecture early? 2) What’s the probability that I finish the lecture early? 3) Given the lecture finishes early, what’s the probability I drank coffee?
Answer:
1. Probability of drinking tea and finishing the lecture early = 0.2 * 0.2 = 0.04 or 4%
2. Probability of finishing the lecture early = 50% (0.3 + 0.2).
3. Probability of drinking coffee = 0.21 or 21% (0.7 * 0.3)
Step-by-step explanation:
a) Data and Calculations:
Probability Early Ending Expected Probability
Coffee 0.7 0.3 0.21
Tea 0.2 0.2 0.04
Water 0.1
b) The probability of drinking coffee, tea, or water is the chance that the lecturer drinks either coffee or tea or water. The combined probability of the three actions is always 1. The expected probability is the weighing of the probabilities with another event, ending the lecture early. This is obtained by multiplying their respective probabilities.
1) round 24,837,618 to the ten thousands place.
I need help on my college math pls help me it needs to be shown work on paper!
Answer:
24,840,000
Step-by-step explanation:
The number in the ten thousands place is 3. The number to the right of it is 7. Since 7 ≥ 5, we round up the 3 to a 4.
24,837,618 ≈ 24,840,000
How do we Round with any numbers, (on a number line) ?
Answer:
round it to the nearest 10th?
Step-by-step explanation:
that's what I do at least.
Answer: Round up or down.
Step-by-step explanation: When you round up, look at the number to the right of the number you wanna round. If it’s less than 5, you round down, if it’s more than 5, you round up. On a number line, for ex. Let’s say you wanna round 550 to hundreds, 600 or 500, 600 would be the answer because 550 is more closer to 600 by default.
PLEASE HELP!!!!!!!!!!!!!!!!! | For what values of y does the following equation have no solutions for x? | xy + 5y + 4x + 20=1
Answer:
y = -4
Step-by-step explanation:
We can solve for x to see.
x(y+4) +5y +20 = 1
x(y +4) = -19 -5y . . . . . subtract 5y+20
x = (-19 -5y)/(y +4)
x is undefined (no solution) for y = -4.
Answer:
y = -4
Step-by-step explanation:
If we look at xy + 5y, we see that both terms share a factor of y. This gives us
y(x + 5) + 4x + 20 = 1
Similarly, 4x and 20 share a factor of 4, giving us
y(x + 5) + 4(x + 5) = 1
Now we see that these two terms share a factor of x + 5, so factoring gives us
(y + 4)(x + 5) = 1
Dividing both sides by y+4 gives us
x + 5 = 1/(y + 4)
Finally, we subtract both sides by 5 to get
x = 1/(y + 4) - 5
Thus, since we can not have a 0 in the denominator, we see that if y = -4 then x will have no solution. For any other value of y, we can find the solution for x using this equation.
What type of number is negative 15 over 3
Answer:
Rational number
Step-by-step explanation:
Rational numbers are defined as the quotient (division result) of two integers
Cuantos paquetes de 10 vasos ocupo para empacar 1367 vasos
Queremos encontrar y resolver una expresion algebraica para ver cuantos paquetes necesitamos para empacar los vasos.
La solución es 137 paquetes.
Veamos como obtener la solución.
Cada paquete puede sostener 10 vasos, y tenemos un total de 1367 vasos.
Entonces lo que debemos ver es cuantos grupos de vasos tenemos en 1367, esto será simplemente el cociente entre 1367 y 10.
1367/10 = 136.7
El problema ahora es que no podemos sar un 0.7 de un paquete, así que debemos redondear esto al proximo número entero, que es 137.
Así, podemos concluir que se necesitaran 137 paquetes para empacar los 1367 vasos.
Si quieres aprender más, puedes leer.
https://brainly.com/question/21692632
Solve the equation . Check your solution
Answer:
x=48/8=6
Step-by-step explanation:
simple form
8x-48=0
fractionized
8(x-6)=0
How do i find the domain and range on a graph
Answer:
domain = x
range = y
A truck can be rented from Company for 50 dollars a day plus 0.50 per mile. Company B charges 30 dollars a day plus 0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company A and company B are the same.
Answer:
no company a gets 3 miles company b gets 5 miles
Step-by-step explanation:
3.5 with a line on top of five =
Answer:
7/2
Step-by-step explanation:
Evaluate 3|−5| − 2|−2|
Answer:118
Step-by-step explanation:
3!-5!-2!-2! =? IF ! MEANS FACTORIAL, 3! MEANS 3X2X1=6,
-5! MEANS -5X4X3X2X1=-120
-2!= -2X1=-2
-2!=-2X1=-2
PROBLEM BECOMES 6--120-2-2=118
Choose the appropriate descriptor for the term gram. mass volume length area
Answer:
Mass is the appropriate term.
Step-by-step explanation:
Identities in maths 4sin30°cos45° What is the answer?
Answer:
[tex]4*1/2*\sqrt{2} /2=\sqrt{2}[/tex]
Step-by-step explanation:
if I spend 6/11 of my money on books what fraction of it will remain
Find the general expression for the slope of a line tangent to the curve of y=2x^2+4x at the point P(x,y) . Then find the slopes for x=-3 and x=0.5. Sketch the curve and the tangent lines. What is the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) ?
Never mind I got it. mtan=6x+4. Sub in x values, for x=-2, take 6(-2)+4 = -8, and for x=1.5. 6(1.5)+4=13.
Complete Question
Find the general expression for the slope of a line tangent to the curve of y=2x^2+4x at the point P(x,y) . Then find the slopes for [tex] x = 3[/tex] and x=0.5. Sketch the curve and the tangent lines. What is the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) ?
Answer:
The generally expression for the slope of [tex]y = 2x^2 + 4x[/tex] is [tex]y' = 4x +4[/tex]
The graph is shown on the first uploaded image
The generally expression for the slope of [tex]y=2x^2+4[/tex] is [tex]y' = 4x[/tex]
Step-by-step explanation:
From the question we are told that
The equation of the curve is [tex]y = 2x^2 + 4x[/tex]
First we differentiate the equation
So
[tex]y' = 4x +4[/tex]
Therefore the generally expression for the slope tangent to the curve [tex]y=2x^2+4x[/tex] is [tex]y' = 4x +4[/tex]
The next step is to substitute for x = 3 and x = 0.5
So for [tex]x_1 = 3 [/tex]
[tex]y' = 4(3) +4[/tex]
[tex]y' =m_1= 16[/tex]
And for [tex]x_2 = 0.5[/tex]
[tex]y' = 4(0.5) +4[/tex]
[tex]y' =m_2= 6[/tex]
Here m_1 and m_2 are slops of the curve
Next we obtain the coordinates of the tangent lines
So at [tex]x_1 = 3 [/tex]
[tex]y_1 = 2(3)^2 + 4(3)[/tex]
[tex]y_1 = 21[/tex]
So the coordinate for the first tangent line is
[tex](x_1 , y_1 ) = (3 , 21)[/tex]
At [tex]x_2 = 0.5 [/tex]
[tex]y_2 = 2(0.5)^2 + 4(0.5)[/tex]
=> [tex]y_2 = 2.5[/tex]
So the coordinate for the second tangent line is
[tex](x_2 , y_2 ) = (0.5 , 2.5)[/tex]
Next we obtain the equation for the tangent lines
So generally the slope is mathematically represented as
[tex]m = \frac{y - y_1 }{x-x_1}[/tex]
For [tex](x_1 , y_1 ) = (-3 , 21)[/tex] and [tex]y' =m_1= 16[/tex]
[tex] 16 = \frac{y -21 }{x-3)}[/tex]
=> [tex]y = 16x - 27[/tex]
For [tex](x_2 , y_2 ) = (0.5 , 2.5)[/tex] and [tex]y' =m_2= 6[/tex]
[tex] 6 = \frac{y -2.5 }{x-0.5}[/tex]
[tex]y = 6x -0.5[/tex]
Generally the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) is mathematically evaluated by differentiating y=2x^2+4 as follows
[tex]y' = 4x[/tex]
2. Graph the system of inequalities. Make sure your solution area is clear in your graph.
Then name a Solution Point____________ & a Non-Solution Point_____________
y ≥ 2x - 1
y ≥ -4
y < -x + 2
Fun fact:
The longest word in any of the major English language dictionaries is pneumonoultramicroscopicsilicovolcanoconiosis, a word that refers to a lung disease contracted from the inhalation of very fine silica particles, specifically from a volcano; medically, it is the same as silicosis.
Cool right? Here are more fun facts.
1 “I am” is the shortest complete sentence in the English language.
2 Supercalifragilisticexpialidocious (*breath*) is NOT the longest word in English.
Like that?
Banging your head against a wall for one hour burns 150 calories.
In Switzerland it is illegal to own just one guinea pig.