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Related Questions
Two years ago a father was four times as old as his son. Three years from now the father will be only
three times as old as the son. How old is each now?
If x represents the son's age two years ago, which expression represents his father's age three years
hom now?
3x+15
3x+3
x+3
Answers
An expression which represent his father's age three (3) years from now is: A. 3x + 15.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In order to write and solve this word problem, we would assign variables to the son's and father's age and then evaluate the resulting algebraic expression.
Let x represent the son's age two years ago.Let y represent the father's age three years ago.Translating the word problem into an equation, we have;
y = 4x
y + 2 + 3 = 3(x + 2 + 3)
y + 5 = 3(x + 5)
y + 5 = 3x + 15
Therefore, an expression which represent his father's age three years from now is 3x + 15.
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Find values of X and Y
Answers
Answer:
Step-by-step explanation:
Function or Not a Function?
Answers
It cost Chloe $17.70 to send 177 text messages. How much would it cost to send 98 text messages?
Answers
Answer:
Step-by-step explanation:
17.7 -> 177
19.1 -? ?
17.7177=19.1x
cross multiply
17.7x=19.1(177)
can you solve from there?
The cost to send 98 text messages will be $9.8.
What is mean by proportion?
A proportion is a fraction of a total amount, in which two ratios are set equal to each other.
Given that;
The cost of 177 text messages = $17.70
Now,
Since, The cost of 177 text messages = $17.70
So, The cost to send 98 text messages will be;
= $17.70 x 98 / 177
= $9.8
Thus, The cost to send 98 text messages will be $9.8.
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Shop A sells a dress for $79.50 with a 20% discount while Shop B sells the same dress for $69.50 with a 10% discount. Write down a calculation you could do mentally to help you decide which shop to buy the dress from.
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Shop A sells a dress for $79.50 with a 20% discount while Shop B sells the same dress for $69.50 with a 10% discount is $ 318 and $ 625.5.
The proportion of value in relation to the original value is measured using the percentage discount concept. In business, percentages are frequently employed to calculate a company's profit or loss percentage.
Let x be the actual cost of the dress in the store. A
20/100 ×x = 79.50 x = 79.50 ×100/20 xx = 7950/20
x = $ 397.5
The actual cost of clothing A is $397.5.
Discount of outfit A therefore equals 20%
$397.5-79.5$= $ 318
Let x represent the true cost of dress B.
(10/100)× x = 69.50$
x = $695
The actual cost of dress B is $695.
So, the dress B's discount is 10%.
$ 695 - 69.50 = $ 625.5
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Julian describes an angle in the triangle using these statements.
GH is the adjacent side.
HK is the opposite side.
GK is the hypotenuse.
Triangle G H K is shown. Angle G H K is a right angle.
Which angle(s) is Julian describing?
∠G
∠H
∠K
∠H and ∠K
Answers
Step-by-step explanation:
The hypotenuse is the longest side of the right-angled triangle. The angle about which Julian is describing is ∠G.
Answer:
A. <G
Step-by-step explanation:
Took the test on edge, hope this helps
Let f(x)=3 x-2 and g(x)=x^{2}+1 . Perform each function operation.
f(x)-g(x)
Answers
Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, subtraction, multiplication, and division.
-x² + 3x +3 is the domain of all real numbers.
What is meant by function operation?Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, subtraction, multiplication, and division.
Let the two functions be f and g then f(x) = 3x - 2 and g(x) = x² + 1.
we have to calculate (f - g)(x)
Which is equivalent to:
(f - g)(x) = f(x) - g(x)
Taking the two functions and substituting them into this expression, we get,
f(x) - g(x) = (3x - 2) - (x² + 1)
simplifying the above function, we get
f(x) - g(x) = 3x - 2 - x² - 1
(f - g)(x) = -x² + 3x - 2 - 1
Therefore, (f - g)(x) = -x² + 3x +3
We must also determine the domain of the new function. However, because this is a second-order function with no denominators, logarithms, or roots, there are no restrictions on the value of x; thus, the domain is all real numbers.
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plllllllsssss hhhhheeeellllpppp
Answers
Answer:
Step-by-step explanation:
Compute $2^{10}\cdot 2^8\cdot 2^6\cdot 2^4\cdot 2^2\cdot 2^{-1}\cdot 2^{-3}\cdot 2^{-5}\cdot 2^{-7}\cdot 2^{-9}$.
Answers
[tex]2^{10}.2^8.2^6.2^4.2^2.2^{-1}.2^{-3}.2^{-5}.2^{-7}.2^{-9}[/tex] = 32
We need to compute [tex]\bold{2^{10}.2^8.2^6.2^4.2^2.2^{-1}.2^{-3}.2^{-5}.2^{-7}.2^{-9}}[/tex] .
This is the product of exponential numbers with same bases.
We use rules of exponents:
[tex]a^b.a^c=a^{b+c}[/tex][tex]a^{-b}=\frac{1}{a^b}[/tex]Using the first rule we can rewrite
[tex]2^{10}.2^8.2^6.2^4.2^2.2^{-1}.2^{-3}.2^{-5}.2^{-7}.2^{-9}[/tex]
as,
[tex]2^{10+8+6+4+2}.2^{-1-3-5-7-9} = 2^{10+8+6+4+2}.2^{-(1+3+5+7+9)}[/tex]
Using the second rule,
[tex]2^{10+8+6+4+2}.2^{-(1+3+5+7+9)} = \frac{2^{10+8+6+4+2}}{2^{1+3+5+7+9} }[/tex]
[tex]=\frac{2^{30}}{2^{25}}[/tex]
[tex]\bold{= 2^5 = 32}[/tex]
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Select all parts from the expression above that represents a coefficient. (Just the coefficient... not the coefficient AND the variable.) Group of answer choices -4.9t2 -4.9 22 1.8 22t
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The part from the expression above that represents a coefficient is -4.9
How to determine the parts from the expression above that represents a coefficient?The expression is given as
-4.9t^2
To solve this question, we make use of the following illustration.
Let an expression be represented as
ax^n
Where the variable is n
In the expression
Coefficient = a
Variable = x
Power = n
Using the above as a guide, the part from the expression above that represents a coefficient is -4.9
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The number below is not correctly written in scientific notation. Write it using correct scientific notation.
6.57*1000
Answers
Answer: 6.57x10^3
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hope this helped :)
Which line from section 1 reveals Hawthorne's informal, fatherly tone for this story?
A. A boy used to be seen in the streets of Boston.
B. Ben was born in 1706; so that he was now about 10 years old.
C. His father, who had come over from england.
Answer if you're 100 percent sure, this is for a test.
Answers
How do I factorise this Quadratic Equation to find x?[tex]2x^2-x-120=0[/tex]
Answers
The factors of the given Quadratic Equation 2x² - x - 120 = 0 is 8 and -15/2.
What are zeros ?
zeros denotes the factors of the given equation in other words the zeros of the function are the values that make the factors zero. The factors need to multiply out to give the original standard-form equation.
Polynomial roots are the same as polynomial zeros, so they can be found by factoring the quadratic equation into two linear factors, after which they can be equating to zero.
Now, considering the given Quadratic Equation to find x :
2x² - x - 120 = 0
writing the above equation into two linear factors as :
2x² - 16x + 15x - 120 = 0
2x(x-8) + 15(x-8) = 0
(x-8)(2x+15) = 0
Now, equating each linear equation to zero to find the factors:
(x-8) = 0 and (2x+15) = 0
x = 8 and x = -15/2.
Therefore, the factors of the given Quadratic Equation is 8 and -15/2.
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A bubble gum machine in a grocery store is filled with 500 candies. Each time a person puts in money, 10 candies come out. This function is a model for the number of candies left in the machine after a person buys some candy.
Answers
The required function will be
y= 500-10x
function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
let amount of money = x and
number of remaining candy =y
total 500 remaining candies= total 10x amount of money
y= 500-10x
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Gerald ordered a small pizza, asked for it to be divided into 8 equal slices and ate 3 of them. Sarah also ordered a small pizza asked it to be divided into 24 slices, and ate 6 of them. Who ate more pizza? ( My sister's 6th grade question, please help her)
Answers
The Gerald ordered and ate more pizza than Sarah .
What is fraction?
A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.
Given:
Gerald ordered a small pizza, divided into 8 equal slices and ate 3 of them.
Sarah also ordered a small pizza ,divided into 24 slices, and ate 6 of them.
According to given question we have
Gerald divided into 8 equal slices and ate 3 of them.
=3/8
Sarah divided into 24 slices, and ate 6 of them.
=6/24
=1/4
Multiply with 2 in both numerator and denominator we get,
=1*2/4*2
=2/8
∴3/8>2/8
So, Gerald ate more pizza.
Therefore, the Gerald ordered and ate more pizza than Sarah .
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A supervisor at an American company earns $40,764 per year. Find the amount of her earnings in any 3 month period
plsss help
Answers
Multiply by 3
3397•3=10191
She makes 10,191 in a 3 month period
The populations of cities A and B are 3.6*10 to the 5 and 2,060,000, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City A?
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The population of City C is 11.4 times the population of City A.
How to calculate the value?From the information, the populations of cities A and B are 3.6*10 to the 5 and 2,060,000, respectively
It was stated that the population of City C is twice the population of City B. That means the population of C will be:
= 2060000 × 2
= 4120000
Therefore, the population of City C is how many times the population of City A will be:
=4120000 / 360000
= 11.4
Therefore, the population of City C is 11.4 times the population of City A.
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What is the domain of the exponential function shown in the graph?
-8
-6
9
-4
-2
y
8+
6+
4-
2+
2+
9
-6-
-8
ස
No
2
4
to
too!
8
44
X
Answers
Answer:
Hey there, your domain is all real numbers!! the graph is staying above the x-axis, but it's crossed from the negative x-values to the positive x-values. that means choice D is incorrect, because some of the function does cross through negative values.
if the domain was either of the inequality choices, the function wouldn't extend all over the graph--it would be ONLY between 0 and 5, or 5 and -5. this graph would be all real numbers because it isn't restricted like that.
Hope this helps!!!
Find the inverse of each function.
y=log (x+1)
Answers
The inverse of the function y = log(x₊1) is f ⁻¹(x) = 10ˣ ₋ 1.
Given the function is :
y = log(x₊1)
we are asked to find the inverse of the function.
steps to find inverse function are:
Change f(x) to y to get y = ax + b for the provided function f(x) = ax + b.To get x = ay + b from the equation y = ax + b, replace x with y and y with x.Here, find y and solve for x = ay + b. Then we get y = (x - b/a).Finally, we can substitute y = f-1(x) with f-1(x) = (x - b)/a.now interchange the positions of x and y in the function.
x = log₁₀ (y ₊ 1)
the next step is to isolate the dependent variables.
f ⁻¹(x) = ₋1 ₊ 10ˣ
f ⁻¹(x) = 10ˣ ₋ 1
hence, we get the inverse of the given function as f ⁻¹(x) = 10ˣ ₋ 1.
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There are many different kinds of growth patterns. Patterns that increase by a constant rate are linear. Patterns that grow exponentially increase by an ever-increasing rate. If your allowance doubles each week, does that represent linear growth or exponential growth?
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If the allocation doubles every week, that represents exponential growth.
Given there are many types of growth models, and models that grow at a constant rate are linear and models that grow exponentially at an increasing rate.
Linear growth is characterized by growth by the same amount per unit time.
Exponential growth is a process of increasing numbers over time. This happens when the instantaneous rate of change of a quantity over time is proportional to the quantity itself.
Exponential growth because the first week you may only get a dollar, but the next week you get 2, then 4, and so on. Your allowance doesn't grow by the same amount every week, so the number it doubles is exponential.
Therefore, if the allowance doubles every week, it represents a exponential growth multiplier because samples growing at a constant rate are linear.
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A light bulb consumes 16200 watt-hours in 4 days and 12 hours. How many watt-hours does it consume per day?
watt-hours per day
Answers
Answer:
3600
Step-by-step explanation:
16500/4.5 to find watt-hours per day.
if a1=5 and an=-3an-1 then find the value of a5
Answers
Recursive expressions are ways of expressing sequence using functions. The fifth term of the recursive sequence is 405.
Recursive functionsRecursive functions are ways of expressing sequence using functions.
Given the following recursive functions
a₁=5 and;
aₙ = -3aₙ₋₁
For the second term;
a₂ = -3a₁
a₂ = -3(5)
a₂ = -15
For the third term a₃
a₃ = -3a₂
a₃ = -3(-15)
a₃ = 45
For the fourth term
a₄ = 3a₃
a₄ = 3(45)
a₄ = 135
For the fifth term
a₅ = 3a₄
a₅ = 3(135)
a₅ = 405
Hence the fifth term of the recursive sequence is 405.
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Need answer to question 1 and 2, Please show work, I need a good explanations giving brainly
Answers
The expressions are:
1. 6h² - 4h - 2
2. 6c² + c - h +9
What are algebraic expressions?
Algebraic expressions are expressions made up of constants, terms, coefficients and variables.
Given the expressions;
h² + 4h - 4
5h² - 8h + 2
Let's take the sum
h² + 4h - 4 + 5h² - 8h + 2
collect like terms
h² + 5h² + 4h - 8h - 4 + 2
6h² - 4h - 2
Let's subtract 3c - 5 from 6c² + 3c + 9
6c² + 3c + 9 - 2c - h
collect like terms
6c² + 3c - 2c - h +9
6c² + c - h +9
Hence, the expressions are 6h² - 4h - 2 and 6c² + c - h +9
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Multiply. (5√3 -2)²
Answers
Using multiplication to solve the square roots, (5√3 -2)², we get the answer as 79 - 20√3
How do we multiply square roots?To multiply a square root, multiple its radicands first—that is, the values that appear after the radical sign. If the radical sign is preceded by any coefficients, multiply those coefficients as well.
Using (a-b)² = a² + b² - 2ab
We have,
(5√3 -2)²
On expanding,
we have , (5√3)² + 2² - 2(5√3)(2)
⇒ 75 + 4 - 20√3
⇒ 79 - 20√3
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Point L is on line segment
K
M
‾
KM
. Given
K
L
=
15
KL=15 and
L
M
=
3
,
LM=3, determine the length
K
M
‾
.
KM
.
Answers
Answer:
KM = 18
Step-by-step explanation:
KL and LM make up KM so if added together, we'd get the value of KM.
3 + 15 = 18
Mckenzie and Cara both tried to find the missing side of the right triangle. HURRY PLEASE DUE TODAY. I WILL MARK BRANLIEST IF MULTIPLE PEOPLE ANSWER.
Mckenzie's Work: Cara's Work:
a2 + b2 = c2 a2 + b2 = c2
52 + 132 = c2 52 + b2 = 132
25 + 169 = c2 25 + b2 = 169
194 = c2 b2 = 144
Square root 194 equals square root c squared. Square root b squared equals square root 144.
13.93 ≈ c b ≈ 12
Answers
McKenzie is right and Cara is wrong.
Step-by-step explanation:a² + b² = c²
[The Pythagoras theorem a , b are the square edge)
5² + 13² = c²25 + 169 = c²194 = c²[tex]\sqrt{194}[/tex] = c13.93 = cSo, McKenzie is right and Cara is wrong.Answer:
the correct answer is McKenzie's
Step-by-step explanation:
the problem looks for the measure of the hypotenuse, which is the longest side of a right triangle, so it cannot be 12 in because we have a cathetus of 13 in, therefore, without making calculations but following a simple reasoning, the correct answer is McKenzie's , about 13.93, the only possible option
Look at the picture please
Answers
The minimum value is 20
The maximum value is 9
The range is 11.
The mean is 16.8
The median is 18.
The mode is 18.
The landmark that best describes the dot plot is the mean because it incorporates all the data in the dotplot.
What are the measures of the data in the dotplot ?A dot plot is a graph that displays the information of a dataset. A dot plot consists of a number line and dots above the numbers on the number line. The dots in the dot plot is indicate the frequency of the data in the dataset.
The minimum value is the smallest number in the dataset. The smallest number that is represented in the dot plot is 9. The maximum value is the largest number in the dataset. The largest number that is represented in the dot plot is 20.
The range is the difference between the maximum value and the minimum value.
Range = maximum value - minimum value
20 - 9 = 11
The mean is the average of he numbers in the dataset.
Mean = [(9 x 1) + (12 x 1) + (14 x 1) + (15 x 5) + (16 x 2) + (17 x 3) + (18 x 6) + (19 x 3) + (20 x 4)] / 26
438 /26 = 16.8
The mode is the number that occurs most in the dataset. The number that occurs most frequently is 18 with a dot of 6.
The median is the number at the center of the dataset. The median is 18.
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I need help bc we only learned this literally once pls help
Answers
Answer:Gotta Be G tbh
Step-by-step explanation: Calculator on brainly
Simplify each radical expression. Use absolute value symbols when needed. √81 x²
Answers
The simplified value of radical expression √81 x² is 9x.
By considering the given expression
√81 x²
=(9²)^1/2 ( x²)^1/2
=9x
An expression with a square root is referred to as a radical expression. Radicand: A value or phrase contained within the radical symbol. Equation with radical expressions and variables as radicands is referred to as a radical equation.
The 'V'-shaped portion of the radical symbol will have a superscript number when it is used to represent any root other than a square root. For instance, the expression 3(8) denotes the cube root of 8.
The radical symbol, which resembles a check mark, the index, a small number written outside the radical symbol, and the radicand, a quantity written beneath the horizontal bar of the radical symbol, are the three main components of the radical expression ab.
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Ms.Shultis is driving along the road moves at a rate of 56 miles per hour driven. How long does it take for her to travel 84 miles?
Answers
Answer:
: A person driving along the road moves at a rate of 56 miles per hour driven.
Step-by-step explanation: