The problem asks to solve a system of two equations by representing each condition as an equation. By simplifying and substituting, we can find the values of the two unknowns.
Explanation:The question involves solving a system of two equations. Let's denote the first number as x and the second number as y. The given conditions can be represented as follows:
x + y = 2x - 18x - y = 2y - 32To simplify, we can rewrite the equations as:
y = x - 18x = 2y + 32We can substitute equation (1) into equation (2) to get:
x = 2(x - 18) + 32
Solving the equation will give us the value of x and substituting x into equation (1), we will get the value of y.
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Find the equation of the circle with center at the origin that contains the point ( 12 , 9 ) (12,9).
I need help from a math genius
The area of a square bedroom is 144 square feet. what is the length of one wall?
The length of one wall of the bedroom is 12 feet, which is the square root of the room's area of 144 square feet
The area of a square is calculated by squaring the length of one of its sides, so if the area of a square bedroom is 144 square feet, the length of one side can be found by taking the square root of the area. Therefore, to find the length of one wall, calculate the square root of 144, which is 12 feet. So, the length of one wall of the bedroom is 12 feet
Find the length of the arc subtended by a central angle of 30degrees on a circle of radius 2 feet
Evaluate BC for A = 5, B = -4, and C = 2.
Answer: -8
Step-by-step explanation: Substitute the value of the variable into the expression and then simplify you should get the answer -8
BC= (-4)(2)=-8
what is the equation of the graphed line in point-slope form?
a. y – 1 = (x + 3)
b. y – 1 = (x – 3)
c. y + 1 = (x – 3)
d. y + 1 = (x + 3)
Answer:
[tex]y-1 = \frac{2}{3}(x-3)[/tex]
Step-by-step explanation:
To find the equation of graphed line we pick two points from the line
(3,1) and (-3,-3)
Equation of a line is y=mx+b
where 'm' is the slope and b is the y intercept
slope [tex]m= \frac{y2-y1}{x2-x1} =\frac{1+3}{3+3} = \frac{2}{3}[/tex]
we use point slope formula
y-y1= m(x-x1)
here point(x1,y1) is (3,1) and slope m = 2/3
Plug in all the value
[tex]y-1 = \frac{2}{3} (x-3)[/tex]
PLEASE HELP ASAP!! Will give brainliest!
1)100,1000,10,000, or 100,000
2)Greater or less
the awnser to this question is less than
What is the output of the function f(x) = x + 21 if the input is 4? When the input is 4, the output of f(x) = x + 21 is
The answer is
25
hope that helps
Which value can fill in the blank in the function f(x)=|x| to make it's graph wider than that of the parent function, f(x)=|x|
To widen [tex]\( |x| \)[/tex]'s graph, use [tex]\( f(x) = |ax| \)[/tex] where [tex]\( a > 1 \),[/tex] stretching horizontally by multiplying [tex]\( x \) by \( a \).[/tex]
To make the graph of the function [tex]\( f(x) = |x| \)[/tex] wider than that of the parent function [tex]\( f(x) = |x| \)[/tex], we need to stretch the graph horizontally.
In the absolute value function [tex]\( f(x) = |x| \)[/tex], the "wideness" of the graph is determined by the coefficient of [tex]\( x \)[/tex], which affects the slope of the graph. When the coefficient of [tex]\( x \)[/tex] is greater than 1, the graph becomes wider, and when it's less than 1, the graph becomes narrower.
So, to make the graph wider, we can introduce a coefficient [tex]\( a \)[/tex] to the [tex]\( x \)[/tex]term inside the absolute value function. The function becomes [tex]\( f(x) = |ax| \), where \( a \)[/tex] is a positive constant greater than 1.
For example, if [tex]\( a = 2 \)[/tex], the function becomes [tex]\( f(x) = |2x| \)[/tex]. This means every \( x \) value in the function is multiplied by 2 before taking the absolute value. As a result, the graph stretches horizontally, making it wider than the parent function.
In conclusion, to make the graph wider than the parent function [tex]\( f(x) = |x| \)[/tex], we can use the function [tex]\( f(x) = |ax| \)[/tex], where [tex]\( a \)[/tex] is a positive constant greater than 1.
Which of the following is equivalent to [tex]( \frac{1}{2} ) ^{-2t} [/tex]
[tex](( \frac{1}{2}) ^{2} ))\ x^{t} [/tex]
[tex] \frac{1 ^{t} }{2 ^{2} } [/tex]
[tex](2 ^{2} ) ^{t} [/tex]
[tex]2 ^{2} * 2^{t} [/tex]
Ashley is making cookies. the recipe calls for 3/4 of a cup of sugar. she needs to make five batches of cookies. how many cups of sugar does ashley need?
What numbers have the absolute value of 1/2
He measure of an angle is 78° less than the measure of its complement. what is the measure of the angle?
The ______ is the total area drained by a river and its tributaries.
You have exactly 10 minutes to get to class for
your big test on lateral numbers! Your friend Gus
(who’s weirdly in to this sort of thing) says that class
is exactly 10,000 feet away. Let’s say you travel to
class at a rate of r feet/minute. You would like to get
there a few minutes early. More specifically, let’s say
you will arrive t minutes early.
a) Write an equation that relates r and t.
Which algebraic expression has a term with a coefficient of 3?
the correct answer is option (b) 3x² - 7.
The coefficient is the numerical factor in front of the variable. Let's calculate the coefficient for each option:
a) The coefficient of x in 2x is 2, not 3.
b) The coefficient of x² in 3x² is 3, which matches our requirement.
c) The coefficient of x in 4x is 4, not 3.
d) There is no x term in x³ + 2, so the coefficient for x is 0.
Therefore, the correct answer is option (b) 3x² - 7.
In option (b), the term with the coefficient of 3 is 3x². The coefficient of this term is indeed 3 because it's the number multiplied by x squared. The other terms in the expression do not have a coefficient of 3.
In options (a) and (c), the coefficients for the x terms are 2 and 4, respectively, which do not match the requirement.
Option (d) doesn't have an x term; it only has x raised to the power of 3 (x³), and the coefficient for this term is 0.
So, by process of elimination and calculation, we determine that option (b) is the correct answer with the term 3x² having a coefficient of 3.
complete question
Which algebraic expression has a term with a coefficient of 3?
a) 2x + 5
b) 3x² - 7
c) 4x - 3
d) x³ + 2
What is the value of x? The triangle is similar.
Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35 kg. Write an equation to determine the weight, (w), of each of Carl's checked bags.
Answer:
15.5
Step-by-step explanation:
2w+ 4 = 35 is the equation
15.5 is the total for w
I did this khan and this answer is correct
Hope this helps!
:)
Solve for 8x please
what two integers does Square Root 140 fall between?
To maximize learning, a ________ should be presented on a(n) ________ schedule.
To maximize learning, a CS + UCS should be presented on a(n) continuous schedule.
In here, CS means conditional stimulus while UCS is the unconditioned stimulus. Taking for example, let us imagine that the smell of food is the unconditioned stimulus, the feeling of hunger in response to that specific smell is a unconditioned response, and then the sound of the whistle is the conditioned stimulus.
if a project will take 35 employees 2,940 hours to complete, how many hours will each employee have to work?
Which expressions are equivalent to ? Check all that apply.
To determine if expressions are equivalent, we simplify them or substitute variables with actual values to see if they yield the same result. We simplify by eliminating terms where possible, grouping like terms, and applying mathematical operations.
Explanation:Without the original mathematical expressions, it's difficult to provide direct answers to your question. Normally, we determine whether expressions are equivalent by simplifying them using algebraic rules or substituting variable with actual values to see if they produce the same results.
For example, the expressions 2(3 + 5) and 6 + 10 are equivalent because they both simplify to 16. We identify equivalent expressions by simplifying which includes eliminating terms where possible, grouping like terms, and applying mathematical operations.
Ultimately, the exact process may vary depending on the complexity and specific form of the expressions in question.
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The expressions equivalent to [tex]$\sqrt[3]{128}^x$[/tex] are (c) [tex]$(4 \sqrt[3]{2})^x$[/tex] and (d) [tex]$\left(4\left(2^{\frac{1}{3}}\right)\right)^x$[/tex] due to their compatible structures with the original expression.
To determine which expressions are equivalent to [tex]$\sqrt[3]{128}^x$[/tex], let's simplify the given expression first:
[tex]\[\sqrt[3]{128}^x = 2^x \times \sqrt[3]{2}^x\][/tex]
Now, let's compare this with the provided options:
a. [tex]$128^{\frac{x}{3}}$[/tex] - Not equivalent.
b. [tex]$128^{\frac{3}{x}}$[/tex] - Not equivalent.
c. [tex]$(4 \sqrt[3]{2})^x$[/tex] - Equivalent, as [tex]$4 = 2^{\frac{3}{2}}$[/tex].
d. [tex]$\left(4\left(2^{\frac{1}{3}}\right)\right)^x$[/tex] - Equivalent, as [tex]$2^{\frac{1}{3}} = \sqrt[3]{2}$[/tex].
e. [tex]$(2 \sqrt[3]{4})^x$[/tex] - Not equivalent.
Therefore, the expressions (c) [tex]$(4 \sqrt[3]{2})^x$[/tex] and (d) [tex]$\left(4\left(2^{\frac{1}{3}}\right)\right)^x$[/tex] are equivalent to [tex]$\sqrt[3]{128}^x$[/tex].
A tortoise walk 52.0 feet per hour. Convert this into inches per minute
1 foot = 12 inches
52 * 12 = 624 inches per hour
1 hour = 60 minutes
624/60 = 10.4 inches per minute
Find the percent change from 48 to 228. Tell whether it is a percent increase or decrease. If necessary, round your answer to the nearest percent.
How many seconds are there in (a) one hour and thirty-five minutes and (b) one day?
what is the solution to 7ln(x+2.8)=11.2
On anne's bicycle, the ratio of pedal turns to rear-wheel turns in second gear is 4 to 7. if her rear wheel turns 875 times per mile,how many times does she turn the pedal in one mile?hint:set up and solve as a propportion to find x.
At 12:00 noon two mississippi steamboats are 126 miles apart. at 6:00 p.m. they pass each other going in opposite directions. if one steamboat travels 9 miles per hour faster than the other, find the speed of both boats.
The answer will be
The rate of the first steamboat is 6 mph, the rate of the second steamboat is
15 mph .
Interpret the graph to determine the statement the manager at a building supply store can use to help a customer determine how much primer to purchase.
Each gallon of primer will cover a (minimum) (maximum) (multiple) of (200) (400)(600) square feet
Answer:
Each gallon of primer will cover a maximum of 200 square feet
Step-by-step explanation:
The x-axis of the graph is the area to paint in square feet. The y-axis of the graph is the number of gallons of primer needed.
We can see that 1 gallon of primer covers from 0 to 200 feet; 2 gallons of primer covers from 200 to 400 feet; etc.
This tells us that each gallon of primer covers a maximum of 200 square feet.