Answer:
Luis tiene 30 años de edad y su amiga tiene 20 años edad.
Step-by-step explanation:
Cuando Luis tenia 20 años de edad (hace 10 años), su amiga tenia solamente 10 años de edad. Si multiplicamos 10 x 3 nos da como resultado 30, que es la edad actual de Luis.
L + A = 50
3(A - x) = L
L = 50 - A
3A - 3x = 50 - A
4A = 50 + 3x
en este punto podemos probar diferentes alternativas para x:
x = 5, entonces 4A = 50 + 15
A = 16.25 no es factible porque estamos buscando numeros enteros
x = 6, entonces 4A = 50 + 18
A = 17
al reemplazar, nos da una edad de 3(17 - 5) = 36 para Luis, pero 36 + 17 = 53
x = 8, entonces 4A = 50 + 24
A = 18.5 no es factible porque estamos buscando numeros enteros
x = 10, entocnes 4A = 50 + 30
A = 20
al reemplazar, nos da una edad de 3(20 - 10) = 30 para Luis, y 30 + 20 = 50
help.me with Ap calc please
Answer:
[tex]\displaystyle f'(1) = 6[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f(x) = 5x - 1 + \ln x[/tex]
Step 2: Differentiate
[Function] Derivative Property [Addition/Subtraction]: [tex]\displaystyle f'(x) = \frac{d}{dx}[5x] - \frac{d}{dx}[1] + \frac{d}{dx}[\ln x][/tex]Rewrite [Derivative Property - Multiplied Constant]: [tex]\displaystyle f'(x) = 5 \frac{d}{dx}[x] - \frac{d}{dx}[1] + \frac{d}{dx}[\ln x][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle f'(x) = 5 - 0 + \frac{d}{dx}[\ln x][/tex]Logarithmic Differentiation: [tex]\displaystyle f'(x) = 5 + \frac{1}{x}[/tex]Substitute in x: [tex]\displaystyle f'(1) = 5 + \frac{1}{1}[/tex]Simplify: [tex]\displaystyle f'(1) = 6[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
1. Judy took $15 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $3. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.
Answer:
Let the number of popcorn be x and the number of drinks be y, then according to the question we have the following equation
.................> linear equation
To sketch the graph first we need to find two points on it.
EXAMPLE
put x=0, we get y=10
put y=0, we get x=6
Thus, we have points (0,10) and (6,0), now sketch a line through it .
Thus in the graph x - axis represents the number of popcorn and y axis represents the number of drinks.
The slope of the graph is
Step-by-step explanation:
Simplify 3 x + 6 x 2 - 5 x - x 2 .
A 5 x 2 - 2 x
B 6 x 2 + 2 x
C 5 x 2 + 2 x
D 6 x 2 - 2 x
help first to answer gets brainlyset On a field trip, there are 3 chaperones for every 20 students. There are 92 people on the field trip. How many students are there?
Answer: There are 80 students.
Step-by-step explanation: 20x4=80
3x4=12
12+80=92
Choose the linear equation written in slope-intercept
form that matches each graph.
Answer:A
Step-by-step explanation:
The line touches the y axis at -1. The line then goes up 1 over 2 but since it’s on the bottom part of the graph it has the be negative. Y=-1/2X-1
Answer:
Slope = rise/run
= -1/2 (negative because the slope is decreasing)
y - intercept = -1
Option A
y = -1/2x-1
3y + 2 = -6x
in slope-intercept form : y=mx+b
oh and please show work! Thank youuu
Answer:
y= -2x- [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
3y+2=-6x
3y=-6x-2
y= [tex]\frac{-6}{3}[/tex]x - [tex]\frac{2}{3}[/tex]
y= -2x - [tex]\frac{2}{3}[/tex]
You isolate for y in this example by moving the 2 to the other side and then dividing the -6x and -2 by 3 to get the y by itself.
Translate the following sentence into a mathematical equation. The sum of 10 and five times a number is the same as the difference of the number and 6
Answer:
The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]
Step-by-step explanation:
The given statement can be converted into a mathematical equation step by step.
First of all, we have to suppose a variable for the number as we don't know the exact number.
So,
Let x be the number then
five times a number => 5x
The sum of 10 and five times a number => 5x+10
the difference of the number and 6 => x-6
Putting in equation form we get
[tex]5x+10 = x-6[/tex]
Hence,
The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]
$12.50 for 5 ounces Write a unit rate for the situation.
Answer:
$2.50 per ounce
Step-by-step explanation:
12.50÷5= 2.50
Answer:
$2.50c
Step-by-step explanation:
If you have 2\10 of an apple, how many fifths do you have
Answer:
4/5
Step-by-step explanation:
1 - 2/10 = 8/10 = 4/5
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
You have [tex]\frac{2}{10}[/tex] ( divide numerator and denominator by 2 ), that is
[tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]
Zachary purchased a computer for $1200 on a payment plan three months after he purchased a computer his balance was $795. six months after he purchased a computer his balance was $390 what is the equation that models the balance y after X months
The radius of Earth is 6,371.0 kilometers and the radius of Earth's Moon is 1,737.5 kilometers. What is the approximate difference in the circumferences, in kilometers, of Earth and Earth's Moon? Round your answer to the nearest tenth of a kilometer.
Answer:
Step-by-step explanation:
Circumference of a circle is expressed as;
C = 2πr
r is the radius
Given
radius of Earth r1 = 6,371.0 kilometers
the radius of Earth's Moon r2 = 1,737.5 kilometers
The difference in their circumference will be expressed as;
C = 2π(r1-r2)
C = 2π(6371.0-1737.5)
C = 2π(4633.5)
C = 2(3.14(4633.5))
C = 29,098.38km
C = 29,098.4
Hence the difference in their circumference to the nearest km is 29,098.4km
Answer:
We calculate for the circumferences of Earth and moon by using the equation,
C = 2πr
For Earth,
C = 2π(6371 km) = 40030.2 km
For Moon,
C = 2π(1737.5 km) = 10917.0 km
The difference between the two circumferences is 29113.2 km approximately.
x + 4 < 6
Drag your dot to a possible solution for the inequality.
Answer:
An open circle at 2, and an arrow facing left.
please help me out....
Answer:
It is the first one, so
7u + 5v
Answer:
7u+5v (A)
Step-by-step explanation:
3u+4u=7u
7v-2v=5v
7u+5v
PLS GIVE BRAINLIEST
If using the method of completing the square to solve the quadratic equation x^2-19x+9=0 which number would have to be added to "complete the square"?
Answer:
90.25Step-by-step explanation:
Given the quadratic equation x^2-19x+9=0 re arranging we have;
x^2-19x+9 - 9=0 -9
x^2-19x = - 9
In order to complete the square we would add a number to both sides and the number will be the square of the half of coefficient of x in the expression as shown.
Coefficient of x = -19
half of coefficient of x = -19/2
square of the half of coefficient of x = (-19/2)²
square of the half of coefficient of x = 361/4
square of the half of coefficient of x = 90.25
Hence the number that would have to be added to "complete the square" is 90.25
Kara's car used 1/16 gallons
of gas to drive 1/8 of a mile. At
this rate, how many miles can
Kara's car drive using one
gallon of gas?
Solve for x 12 + x = 27
Answer:
15
Step-by-step explanation:
subtract 12 on both sides and you get
x=27-12
x=15
Answer:
I think your answer is 15
Step-by-step explanation:
Hope this helped you
Barry must find the value of x in the equation below.
30x =48+22x
which of the following is the best step Barry could take to find the value of x in the equation?
Answer:
30x=48+22×
30x -22x=48
8x=48
x=6
Help ASAP if you want brainliest
Answer:
A. 1. mph
C. 3. hpm
Step-by-step explanation:
Paul, Colin and Brian are waiters.
One night the restaurant earns tips totalling £77.40.
They share the tips in the ratio 2:3:4.
How much more does Brian get over Paul?
You are planning your vacation and trying to figure out the total number of miles you will be traveling on a round trip from Portland, Oregon to Denver, Colorado, and back to Portland, Oregon. The scale for the map you are consulting shows that 1 inch = 4 miles. Measuring, you find that you will be traveling 31412 inches for the one-way trip. What is the total number of miles you will be traveling during the entire round trip?
Answer:
31,417 miles i think I hope it will helpThe total number of miles you will be traveling for the entire round trip is 125650 miles.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
The question states that 1 inch = 4 miles. Therefore, if you multiply 31412 inches by 4, you will get the total number of miles you will be traveling for the round trip.
31412 × 4 = 125650
Therefore, the total number of miles you will be traveling for the entire round trip is 125650 miles.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
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Fill in the blank: A student earned a grade of 80% on a math test that had 20 problems. The student answered ______ questions correctly on the math test. (Write the number only.) *
hahahahahahahahahahahahahahah
The number is 16
PS: had to type more than 20 words
Answer:
16
Step-by-step explanation:
80 X 20 = 16 questions answered correctly.
write -9 7/10 as a decimal number
Answer:
9 7/10 is a decimal number is 9.7
(-8/9) divided by (-2/3)x(-4 1/2)
Answer:
-0.29629629629 or -0.3
Step-by-step explanation:
first do (-2/3)*(-4 1/2) which is 3
then divide (-8/9) by 3 and you get -0.29629629629 which can be rounded to -0.3
The Answer will be -8 using fraction operation.
What is a fraction?If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
First solve the 2nd part which is
[tex]\frac{-2}{3}*-4\frac{1}{2} \\=3[/tex]
Now -8/3 * 3 = -8
Hence the answer for the given question will be -8.
Learn more about Fraction, by the following link.
https://brainly.com/question/78672
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Vocabulary Explain why each relationship is not linear PLEASE HELP ASAP
Answer:
11) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 1 every time but the y-value is not constant. It goes up by 2 from 4.5, 6.5, 8.5, but then at 8.5 to 11.5, it went up by 3 which means that it's not a constant rate of change and is not linear.
12) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 2 every time but the y-value is not constant. It went down by 14 then 16 and 18. All these numbers and different which means that the table does not have a constant rate of change and is not linear.
Step-by-step explanation:
Always remember that linear tables, graphs, etc have a constant rate of change.
Hope this helps you
Given the expressions: 5x+2(x-4) and 7x-8 first prove that they are both equivalent and explain why your method proves this.
Please solve for y P=2x+2y+4
Answer:
Step-by-step explanation:
P=2x+2y+4
y=p/2-x-2
The equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Solve for y P=2x+2y+4
From the data given in the question:
The linear equation is:
P=2x+2y+4
To solve for make the subject as y:
2y = P - 2x - 4
y = (1/2)[P - 2x - 4]
Or
y = P/2 - x - 2
Thus, the equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.
Learn more about the linear equation here:
brainly.com/question/11897796
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HELP!!!!!!!!!!!!!! I ONLY HAVE 5 MIN TO TURN THIS IN!!!!
Answer:
I think A but I might be wrong
Which is the equation of a line that passes through the points (4, 6) and (-6, 1)?
Answer:
y=2x-8
Step-by-step explanation:
gradient = 1-6 / -6-4
= 2
y=2x+c
substitute one of the points
4=2*6+c
c=-8
y=2x-8
Are the roots of equation 4x^2-4x+1=0 is imaginary
Answer:
NO
Step-by-step explanation:
[tex]4x^{2} -4x+1=0\\(2x-1)(2x-1)=0\\x=1/2[/tex]
Describe a principle that the philosophies of Locke, Montesquieu, and Rousseau have in common.
Look at the incomplete multiplication problem below.
632 times 29 = 5688. 5688 + question mark = blank
What value is missing?
Answer:
Locke, Rousseau and Montesquieu agreed that nations would be built on social institutions, or even what Montesquieu considered a legislation which would describe the laws of the country and put in concrete what privileges the citizens and the state have.
Answer:
d 18,328
Step-by-step explanation:
I did the math >:3
sorry if it's wrong