Answer: 15 - 6i
Step-by-step explanation:
3(5-2i)
3×5+3×(−2i)
Do the multiplications.
15−6i
A local hamburger shop sold a combined total of 378 hamburgers and cheeseburgers on Wednesday. There were 72 fewer cheeseburgers sold than hamburgers.
How many hamburgers were sold on Wednesday?
Answer:
x+y=603
y=x+53
Step-by-step explanation:
Substitute what y equals in the second equation for y in the first equation:
x+(x+53)=603
2x+53=603
-53 -53
2x=550
2 2
x=275 hamburgers
To solve for the number of cheeseburgers, substitute 275 for x in either equation.
y=x+53
y=275+53
y=328 cheeseburgers
To double check your work, make sure that 275+328=603 and that 328=275+53. Since both are true, you have solved for the number of hamburgers (275) and cheeseburgers (328).
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9X4 – 2x2 – 3x + 4?
1
2
1
O ,
4 2 4
3. +1, +3, +2, +4
0 +2, ++1, +3, 4, +3, +
9
*9
4
1 2 1 4 2
Ogg. 3.9. 3, 1, 3, 2, 4
1 1 3 3 9 9
O 4.2.2.1, 2, 7, 3, 2,9
Answer:A
Step-by-step explanation:
I JUST TOOK THE TEST ON EDGE
The possible root of the function are: ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.
What is Rational Root Theorem?In algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator and the constant term (the one without a variable) must be divisible by the fraction's numerator.
We have the function f(x) = 9\(x^4\) - 2x² - 3x + 4.
For Polynomial Function
f(x) = p\(x^n\) + ...... + q
So, The possible rational roots are calculated using
Roots = ± factors of p / factors of q
= ± factors of 4 / factors of 9
= ± 1, 2, 4 / 1, 3, 9
So, the possible rational roots are ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.
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paul owns his own plumbing company. He charges customers a $50 call fee plus $25 an hour for labor plus parts. if h, represents hours and p, represents parts, which equation can be used to represent c, the total cost of the customers bill
Oliver bought her favorite apple juice that cost
4.50dhs. If she has 35dhs to spend, what is the
maximum number of gallons of apple juice she
can buy? Write and solve the inequality.
Answer:
jkl;'
Step-by-step explanation:
Rafael plays a trivia game with 2 rounds. In the first round, he earns 5 points for answering a question correctly and loses 3 points for answering a question incorrectly. In the second round, he earns 10 póints for answering a question correctly and loses 4 points for answering a question incorrectly. The equations below represent Rafael's performance in each round. 5x– 3y = 22 10x – 4y= 46 Which condition must be true to make the pair of equations a system of equations?
a He answers a total of 15 questions correctly.
BHe answers the same number of questions correctly as he answers incorrectly in each round.
C He answers twice as many questions correctly in the second round as he answers correctly in the first round.
DHe answers the same number of questions correctly in both rounds and the same number of questions incorrectly in both rounds
Answer:
D. He answers the same number of questions correctly in both rounds and the same number of questions incorrectly in both rounds.
Step-by-step explanation:
In the first equation he earns 5 points and loses 3 points. The value of one question is 5 points, and the value of losing one question is 3 points. The same goes for the second equation except the fact that its 10 points and 4 points lost instead.
what is result of evaluating the following expression? (45 / 6) % 5 group of answer choices 2.5 3 7 2
The result of the given expression is 2.5.
We are given a mathematical expression. Let the expression be denoted by the variable "E". The expression is given below.
E = (45 / 6) % 5
We need to simplify the expression and find its value. First of all, we will solve the brackets.
E = (7.5) % 5
Now we will solve the modulus operator. The modulus operator "%" gives us the remainder after the division of the two numbers. After dividing one number by another, the modulo operation yields the remainder, or signed remainder, of the division.
E = 2.5
Hence, the value of the expression is 2.5.
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is -8x a binomial or trinomial or monomial or polynomial
Answer:
monomial
Step-by-step explanation:
PLEASE HELP 25 POINTS !! parallelogram rstu has vertices as shown below. the figure undergoes a series of transformations. it is reflected over the x-axis and then translated according to the rule x,y -> (x+2,y-1). determine the coordinates for R’, S’, T’, and U’
The coordinates of the vertices of the rectangle RSTU after a reflection across the x-axis and a translation of (x + 2, y - 1) are;
R'(-1, 1), S'(1, -5), T'(5, -4), and U'(3, 2)
What is a reflection transformation?A reflection transformation is a rigid transformation that creates a mirror image of the figure, across and equidistant from a line of reflection.
The points on the vertices of the rectangle are;
R(-3, -2), S(-1, 4), T(3, 3), U(1, -3)
The coordinates of the point (x, y) after a reflection across the x-axis is the point (x, -y)
The coordinates of the vertices of the quadrilateral RSTU after a reflection across the x-axis are;
R(-3, -2) → R'(-3, 2)
S(-1, 4) → S'(-1, -4)
T(3, 3) → T'(3, -3)
U(1, -3) → U'(1, 3)
The rule for the translation is; (x + 2, y - 1)
The coordinates of the above image following the above translation are;
R'(-3, 2) → R''(-3 + 2, 2 - 1) = R''(-1, 1)
S'(-1, -4) → S''(-1 + 2, -4 - 1) = S''(1, -5)
T'(3, -3) → T''(3 + 2, -3 - 1) = T''(5, -4)
U'(1, 3) → U''(1 + 2, 3 - 1) = U''(3, 2)
Let R''S''T''U'' be represented by the letters R'S'T'U', therefore, the coordinates for R'S'T'U' are;
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I need help with this question
Answer: yes, the transformation is a dilation.
If line d intersects plane F, and line d does not lie on the plane, then how many points on line d also lie on plane F?
Answer:
1
Step-by-step explanation:
Since Line D does not lie on the Plane F, then it can only have one point on Plane F where it intersects it.
It is similar to sticking a pin through a piece of paper.
Write the equation of the line parallel
to y = 4 /5x + 4/5 that passes through the point ( -6,6).
Step-by-step explanation:
Here, slope= 4/5 , As y= mx+c
according to formula, y-y1= m(x-x1)
y-6= 4/5(x+6)
5/4 (y-6)= x+6
5/4y - 15/2= x+6
x- 5/4y + 27/2 =0
do exponential functions have a vertex?
Exponential functions do not have a vertex.
What is an exponential function?"Exponential function, as its name suggests, involves exponents. An exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
In mathematics, an exponential function is a function of form \(f(x) = a^{x}\), where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0."
What is the vertex of a function?"The standard form of a quadratic equation is y = ax² + bx + c and the vertex form of the same is y = a (x - h)² + k. Here, the vertex form has a square in it. So to convert the standard to vertex form we need to complete the square."
We know that, the graph of an exponential function consists of a horizontal asymptote. However, there is no quadratic function available that consists of a horizontal asymptote.
Hence, exponential functions do not have a vertex.
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12 salesmen at a car dealership sale 876 cars in a year The sum of square for the number of cars sold is 64716.find the mean and standard deviation of the number of sold cars
Amelia is going to invest in an account paying an interest rate of 6. 5% compounded
daily. How much would Amelia need to invest, to the nearest dollar, for the value of
the account to reach $10,200 in 5 years?
Amelia would need to invest approximately $7,338 to the nearest dollar for the value of the account to reach $10,200 in 5 years. This calculation is based on an interest rate of 6.5% compounded daily.
To find out how much Amelia would need to invest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $10,200)
P = Principal amount (initial investment)
r = Annual interest rate (6.5% or 0.065)
n = Number of times the interest is compounded per year (365 for daily compounding)
t = Number of years (5)
We want to find the value of P. Rearranging the formula, we have:
P = A / (1 + r/n)^(nt)
Substituting the given values into the formula, we get:
P = 10200 / (1 + 0.065/365)^(365*5)
Calculating this expression, we find that Amelia would need to invest approximately $7,338 to the nearest dollar for the value of the account to reach $10,200 in 5 years.
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Anyone help with this question
6 grade math pls help
answer
measure of o is 75
and n is same as o as the sides are same
hope this helps you
What is the complete factorization of the polynomial below?
x3 + 3x2-x-3
Step-by-step explanation:
\(( {x}^{2})(x + 3) - (x + 3)\)
\((x + 3)( {x}^{2} - 1) \)
\((x - 1)(x + 1)\)
\((x - 1)(x + 1)(x + 3)\)
Hope this is correct and helpful
HAVE A GOOD DAY!
Answer:
(x+1) (x-1) (x+3)
Step-by-step explanation:
. .....................
Convert 0.0000001 into a power of 10
Answer:
i think it's 10^-7 hope that helps
Step-by-step explanation:
mark as brainlest
1e-70 is the answer. This has to be more than 20 characters to post this so I wrote this extra sentence, but the answer is 1e-70
Carson is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Carson will earn $20 every time one of his songs is played in a commercial and he will earn $120 every time one of his songs is played in a movie. Carson's songs were played on 5 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $380. Determine the number of commercials and the number of movies on which Carson's songs were played.
Answer:
\(M=\frac{280}{140} =2\)
\(C=2+5=7\)
(2 Movies and 7 Commercials)
Step-by-step explanation:
Let's represent every time Carson's songs are played in a commercial as C and in movies as M.
Set up the following equations:
\(20C+120M=380\) (1)
\(C=M+5\) (2)
Substitute equation 2 for equation 1:
\(20(M+5)+120M=380\)
Distribute:
\(20M+100+120M=380\)
Simplify:
\(140M=280\)
Divide both sides by 140:
\(M=\frac{280}{140} =2\)
Substitute 2 as M back into either original equation, I will use (2):
\(C=2+5=7\)
Answer:
Step-by-step explanation:
how to determine the end behavior of a rational function
By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.
To determine the end behavior of a rational function, you need to examine the degrees of the numerator and denominator polynomials. The end behavior refers to how the function behaves as the input (x-values) approaches positive or negative infinity.
Here are the steps to determine the end behavior of a rational function:
1. Identify the highest power of x in the numerator and denominator. Let's call them n and m, respectively.
2. If n < m, the degree of the denominator is greater than the numerator. In this case, the function's end behavior is determined by the degree of the denominator.
- If m is even, the function approaches the horizontal axis (y = 0) as x approaches both positive and negative infinity.
- If m is odd, the function approaches opposite infinities: positive infinity as x approaches negative infinity and negative infinity as x approaches positive infinity.
3. If n = m, the degree of the numerator is equal to the denominator. In this case, the leading coefficients of the numerator and denominator determine the end behavior.
- The function approaches the ratio of the leading coefficients as x approaches both positive and negative infinity.
4. If n > m, the degree of the numerator is greater than the denominator. In this case, the function's end behavior is determined by the degree of the numerator.
- If n is even, the function approaches positive infinity as x approaches both positive and negative infinity.
- If n is odd, the function approaches opposite infinities: positive infinity as x approaches positive infinity and negative infinity as x approaches negative infinity.
By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.
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2.
Example: In rectangle ABCD, AC = 3x + 15 and BD = 4x – 5. If AC and BD
intersect at G, find the length of AG.
Answer:
20
Step-by-step explanation:
3x+15=4x-5
3x+15-15=4x-5-15
Which expression is equivalent to (x10y2z)4 ?
On simplifying the given algebraic expression, we get -
(x¹⁰y²z)⁴ = (x⁴⁰y⁸z⁴).
What is algebraic expression?An algebraic expression is a combination of terms, both constants and variables. For example, we can write the algebraic expressions as -
2x + 3y + z
4x + 5
Given is the algebraic expression as -
(x¹⁰y²z)⁴
The given expression is -
(x¹⁰y²z)⁴
We can simplify the given expression as -
(x¹⁰y²z)⁴ = (x¹⁰⁽⁴⁾y²⁽⁴⁾z⁴)
(x¹⁰y²z)⁴ = (x¹⁰⁽⁴⁾y²⁽⁴⁾z⁴)
(x¹⁰y²z)⁴ = (x⁴⁰y⁸z⁴)
Therefore, on simplifying the given algebraic expression, we get -
(x¹⁰y²z)⁴ = (x⁴⁰y⁸z⁴).
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i can identify the factors that influence the distribution of human populations at different scales and that they vary according to the scale of analysis
Answer: sorry if this is wrong I tried.
Physical factors such as terrain, climate, soil, water bodies, and mineral resources. These factors affect the availability of resources, the suitability of land for agriculture, the accessibility of transportation, and the attractiveness of living conditions.
Human factors such as industries, urbanization, transport, culture, history, and politics. These factors affect the type and scale of economic activities, the availability of services and amenities, the migration patterns and preferences of people, and the distribution of power and wealth.
These factors vary according to the scale of analysis because different regions may have different combinations and interactions of these factors that influence their population distribution. For example, at a global scale, climate may be a major factor that determines where people live, but at a local scale, urbanization may be more important.
Step-by-step explanation:
9. 34 X 6.42 use tables to evaluate
Answer:
60 is the rounded up version
Step-by-step explanation:
Have a great day
Help please! I've got 173 questions wrong
Answer:
i believe the answer is b
\((\frac{15x^{2}y }{8x} )(\frac{4y}{9xy} )\)
Help needed asap
If 0
Answer:
umm... i need a problem or anything bud
Step-by-step explanation:
1. Is the following a function?
2. Write a function that represents the following description:
“After 8 hours, a person earned $148 in wages”
3. Let f(x)=x and g(x)=x-13
Find (f+g)(9)
4. Paige is paying off her car loan. The function that models how much she has left to pay is P(m) = 6000 -300m where m is the number of months since Paige took out the loan. What was the original amount of her loan?
a) The given relation is function.
b) The function is, $x = 18.5 y
c) The value of (f+ g)(9) is 5.
d) The he original amount of her loan is 6000.
What is Linear Function?A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.
Given:
a) The given relation is function because is input have have output, no two outputs have same input.
b) After 8 hours, a person earned $148 in wages.
So, the unit rate change = 148/ 8
= 18.5
So, if y represents the number of hour and $x the wages, then the function is $x = 18.5 y.
c) Let f(x)=x and g(x)=x-13
(f+ g)(9)
= (x+ x-13) (9)
= 2x -13
= 2(9)- 13
= 5
d) The modeled function. P(m) = 6000 - 300m.
so, the original amount of her loan is 6000.
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Match the answers……………..
9 in 8956 = 900
9 in 95675 = 90000
9 = 9 in 124569
9 in 68795 = 90
90000 = 9 in 2549652.........
hope it helps...
The average precipitation in the southwestern mountains region is 4.04 inches im January and 4.73 inches in July what is the difference between the average precipitation for these two times of year ?
Answer: If it is just subtraction (I am not sure, it would be 0.69
Step-by-step explanation:
4.73-4.04=.69
again not sure what exactly is being asked here so ill take what i see