Answer:
A
Step-by-step explanation:
[tex] \frac{2003}{n} = z + \frac{23}{n} [/tex]
where z is an integer
[tex]2003 = nz + 23[/tex]
[tex]nz = 1980[/tex]
[tex]nz = {2}^{2} \times {3}^{2} \times 5 \times 11[/tex]
possible values of n
n= {1980, 990, 660, 495, 396, 330, 198, 180, 165, 132, 99, 90, 60, 45, 36, 30, 20, 18, 15, 5, 3}
cardinality of n=21
Click on the graphic to select the figure that would make the following "a reflection in line k."
Answer: Choice A (both are smiley faces)
This is because the reflection doesn't flip the faces upside down or anything (instead it does a left-right swap in a way). This is why both faces are smiley faces.
Two cyclists, 63 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as
the other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist?
a. Write an equation using the information as it is given above that can be solved to answer this problem.
Use the variable r to represent the speed of the slower
cyclist.
b. What is the speed of the faster cyclist?
mi/hr
Answer:
a) 9r=63
b) 14 mi/h
Step-by-step explanation:
Let say r the speed of the slower cyclist,
2*r the speed of the faster cyclist,
they meet 3 hours later:
a)
(r+2*r)*3=63
3r*3=63
9r=63
r= 63/9
r=7 (mi/h)
b)
2r=14 (mi/h)
Is (3,8) a solution to the inequality 14x + 12y = 12?
Which of the following is an integer?
95.2
73
54
41
-26
Answer:
95.2 is not an integer
and other are integers
how do you solve this
Answer:
yo what concept is this
Step-by-step explanation:
Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 5x2-X-4 = 0 A. -4/5 B. 5/4C. 2/3 D. 1 E. -1 F.3/2
Hi
5x²-x-4 = 0
Δ= (-1)² - 4*5*(-4)
Δ = 1 -4*-20
Δ = 1 +80
Δ = 81
√Δ= 9
as Δ ≥ 0 , so 2 solutions exist in R
S1 is : ( 1+9) /2*5 = 10/10 = 1
s2 = (1 -9)/2*5 = -8/10 = -4*2 /2*5 = -4/5
Corrects answers are A and D
Answer:
A. -4/5 And D. 1
Step-by-step explanation:
i just got it right
The sum of Jim's weight and Bob's weight is 180 pounds. If you subtract Jim's weight from Bob's weight, you get half of Bob's weight. How many pounds does Bob weigh?
Answer:
120 pounds
Step-by-step explanation:
We can use systems of equations to solve this problem. Assuming j is Jim's weight and b is Bob's weight, the equations are:
j + b = 180
b - j = 1/2b
Let's get b - j = 1/2b into standard form (b, then j, then the equal sign, then the constant.)
[tex]b - j = \frac{b}{2}\\\frac{b}{2} - j = 0[/tex]
Now we can solve using the process of elimination.
[tex]b + j = 180\\\\\frac{b}{2} - j = 0\\\\b + \frac{b}{2} = 180\\\\b + b \cdot 2 = 180\cdot 2\\3b = 360\\b = 120[/tex]
Now we know how much Bob weighs, for fun, let's find Jim's weight by substituting into the equation.
[tex]120 + j = 180\\j = 180-120\\j = 60[/tex]
So Bob weighs 120 pounds and Jim weight 60 pounds.
Hope this helped!
Answer:
Bob weighs 120 pounds
Step-by-step explanation:
Our first equation will be J(Jim) + B(Bob) = 180 pounds. Our second equation will be 2J = B because it says " if you subtract Jim's weight from Bob's weight, you get half of Bob's weight." This is basically saying that Jim is half of Bob's weight. So that's why our second equation is 2J=B. In our first equation, J+b=180, if we substitute b for 2J, our second equation, then we get the equation 3J = 180. After dividing 3 from both sides, we get j=60. Since Bob weighs twice as much as Jim, his weight will be 120. Now if we want to double-check, we can substitute Jim and Bob's weight for all of the equations.
1) 60 + 120 = 180 This equation is correct
2) 2(60) = 120 This is correct because 2 times 60 equals to 120
3) 3(60) = 180 This is correct because 60 times 3 equals to 180
LCM of x<sup>2</sup>+5x+6 and x<sup>2</sup>-x-6 is ………………………
Answer:
[tex] (x^2 - 9)(x + 2) [/tex]
Step-by-step explanation:
Given:
[tex] x^2 + 5x + 6 [/tex]
[tex] x^2 - x - 6 [/tex]
Required:
LCM of the polynomials
SOLUTION:
Step 1: Factorise each polynomial
[tex] x^2 + 5x + 6 [/tex]
[tex] x^2 + 3x + 2x + 6 [/tex]
[tex] (x^2 + 3x) + (2x + 6) [/tex]
[tex] x(x + 3) + 2(x + 3) [/tex]
[tex] (x + 2)(x + 3) [/tex]
[tex] x^2 - x - 6 [/tex]
[tex] x^2 - 3x +2x - 6 [/tex]
[tex] x(x - 3) + 2(x - 3) [/tex]
[tex] (x + 2)(x - 3) [/tex]
Step 2: find the product of each factor that is common in both polynomials.
We have the following,
[tex] x^2 + 5x + 6 = (x + 2)(x + 3) [/tex]
[tex] x^2 - x - 6 = (x + 2)(x - 3) [/tex]
The common factors would be: =>
[tex] (x + 2) [/tex] (this is common in both polynomials, so we would take just one of them as a factor.
[tex] (x + 3) [/tex] and,
[tex] (x - 3) [/tex]
Their product = [tex] (x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2) [/tex]
Three is subtracted from a number, and then the difference is divided by eleven. The result is twelve. What is the
number?
Answer:
The number is 135.
Step-by-step explanation:
1) Form an equation
Three is subtracted from a number
⇒ [tex]x-3[/tex] (where x is "the number")
The difference is divided by 11
⇒ [tex]\displaystyle \frac{x-3}{11}[/tex]
The result is 12
⇒ [tex]\displaystyle \frac{x-3}{11}=12[/tex]
2) Solve the equation
[tex]\displaystyle \frac{x-3}{11}=12[/tex]
Multiply both sides by 11
[tex]\displaystyle \frac{x-3}{11}*11=12*11\\\\x-3=132[/tex]
Add 3 to both sides
[tex]x-3+3=132+3\\x=135[/tex]
Therefore, the number is 135.
I hope this helps!
how many are 2 raised to 2 ???
Answer:
Step-by-step explanation: 2 raised to 2 or 2^2 is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4
Answer:
Step-by-step explanation: 2 raised to 2 or 2^2
is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4
Given the equations of a straight line f(x) (in slope-intercept form) and a parabola g(x) (in standard form), describe how to determine the number of intersection points, without finding the coordinates of such points. Do not give an example.
Answer:
Step-by-step explanation:
Hello, when you try to find the intersection point(s) you need to solve a system like this one
[tex]\begin{cases} y&= m * x + p }\\ y &= a*x^2 +b*x+c }\end{cases}[/tex]
So, you come up with a polynomial equation like.
[tex]ax^2+bx+c=mx+p\\\\ax^2+(b-m)x+c-p=0[/tex]
And then, we can estimate the discriminant.
[tex]\Delta=(b-m)^2-4*a*(c-p)[/tex]
If [tex]\Delta<0[/tex] there is no real solution, no intersection point.
If [tex]\Delta=0[/tex] there is one intersection point.
If [tex]\Delta>0[/tex] there are two real solutions, so two intersection points.
Hope this helps.
A file that is 276 megabytes is being dowloaded. If 16.7% complete how many megabytes have been dowloaded? Round your answer to the nearest tenth
Answer:
30.9 mb
Step-by-step explanation:
PLEASE ANSWER!!! Select the correct answer from each drop-down menu. Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below.
Function transformation involves changing the position of a function.
The graph of g(x) is the graph of f(x) translated 2 units right, and [tex]\mathbf{g(x) = 3(x -2) + 1}[/tex]
The function is given as:
[tex]\mathbf{f(x)=3x + 1}[/tex]
The graph of g(x) passes through (2,1) and (0,-5).
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{-5-1}{0-2}}[/tex]
[tex]\mathbf{m = \frac{-6}{-2}}[/tex]
[tex]\mathbf{m = 3}[/tex]
The equation is then calculated as:
[tex]\mathbf{g(x) = m(x -x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{g(x) = 3(x -2) + 1}[/tex]
By comparing [tex]\mathbf{f(x)=3x + 1}[/tex] and [tex]\mathbf{g(x) = 3(x -2) + 1}[/tex]
The graph of f(x) is shifted 2 units to the right
Read more about function transformation at:
https://brainly.com/question/13810353
What is the midpoint of segment AB?
Answer:
(-1, -3.5)
Step-by-step explanation:
Use the midpoint formula by finding the points of A and B.
A = (-5, -4)
B = (3, -3)
Add the x-values of both coordinates to get the following:
[tex]3_{1} + -5_{2} = -2\\-2/2 = -1[/tex]
Midpoint = (-1, y)
Now we find the y-value by doing the same as we did to the x-coordinates of A and B.
[tex]-3_{1} + -4_{2} = -7\\-7/2 = -3.5[/tex]
Midpoint = (-1, -3.5)
What fraction is half of 1/3 and 1/4
Answer:
im not entirely sure what you're asking so here are some example answers
half of (1/3 + 1/4)
= half of (7/12) = 7/24
half of 1/3 = 1/6
half of 1/4 = 1/8
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
Half of the under 30's are from 5 to 18 seconds
Step-by-step explanation:
Each section of the box plot is 25%
Under 30's From 5 to 12 is 25% and from 12 to 18 is 25%
so from 5 to 18 is 50%
20 POINTS!! What is the greatest common factor (GCF) of 100^2 - 250xy + 75x?
A. X
B. 25x^2
C. 25x
D. 5x
Answer:
Step-by-step explanation:
25x(4x -10y + 3)
the solution is C. 25x
In car racing, a car must meet specific dimensions to enter a race. Officials use a template to ensure these
specifications are met. Suppose the least allowable height of a race car is 52 in., the desirable height is 52.5 in., and the
greatest allowable height is 53 in. What absolute value inequality describes heights of the model of race car within the
indicated tolerance?
Answer:
| h-52 | < or equal to 1
Step-by-step explanation:
Brenda has an associate’s degree earning the median salary. She wants to quit working and go to college to get just a basic bachelor’s degree. If she completes her degree in 2 years and it costs $15,000, how long will it take her to recover her investment assuming that she earns the median salary? A graph titled Median Annual Household Income by Educational Attainment of Householder, 1997. Professional degree, 92,228 dollars; doctorate degree, 87,232 dollars; master's degree, 68,115 dollars; Bachelor's degree or more, 63,292 dollars; Bachelor's degree, 59,048 dollars; associate degree, 45,258 dollars; some college, no degree, 40,015 dollars; high school graduate, 33,779 dollars; ninth to twelfth grade, 19,851 dollars; than twelfth grade, 15,541 dollars. a. almost 6 years b. almost 7 years c. almost 8 years d. almost 9 years
Answer:
a. almost 8 years
Step-by-step explanation:
Brenda's expected annual increase in salary is ...
$63,292 -45,258 = $18,034
If we assume that Brenda's cost of education includes going without 2 years' salary as well as the cost of tuition, her degree's total cost will be ...
2×$45,258 +15,000 = $105,516
__
Once Brenda starts earning again, she is recovering this cost at the rate of $18,034 per year, so it will take ...
$105,516/($18,034 /yr) = 5.85 yr
to recover that cost.
Since Brenda spent 2 years in school, from the time she decides to start school until she has recovered her cost, it will be 2 + 5.85 = 7.85 years, almost 8 years.
_____
If Brenda can continue working while going to school, she can recover her tuition cost in about 10 months after graduation.
Answer:
C
Step-by-step explanation:
Point R is on line segment QS. Given RS=11 and QS=19, determine the length QR.
================================================
Explanation:
R is between Q and S and on segment QS, allowing us to say
QR + RS = QS
because of the segment addition postulate.
-------
Use substitution and solve for QR
QR + RS = QS
QR + 11 = 19
QR = 19 - 11 .... subtracting 11 from both sides
QR = 8
PLS HELP I WILL MARK BRAINLIST AND GIVE YOU A THANK YOU
Answer:
C
Step-by-step explanation:
Since the marked angles are vertical angles, they are congruent, meaning that they have the same angle measure. Therefore, the answer is 10x = 150.
Rhonda bought a new laptop for $500. The laptop
depreciates, or loses, 10% of its value each year. The
value of the laptop at a later time can be found using
the formula A - P(1 - 1)', where P is the original
value, r is the rate of depreciation written as a decimal,
and t is the number of years since it was purchased,
What will the laptop be worth in two years?
In two years, the laptop will be worth $________.
The solution is ______ ?
Answer:
405
Step-by-step explanation:
A = P(1-r)^t
A = 500 (1-.1)^2
A = 500 (.9)^2
= 500*0.81
= 405
9x square divided by 3x
9x^2/3x
= 3x
...................
Answer:
3x
Step explanation:
[tex]\frac{9x^{2}}{3x}=\frac{3*3*x*x}{3*x}=3x[/tex]
math is a bummer bro
Answer:
alr let's start
one clock 12 hrs => 360 °
so 1hr=> 30°
now visualise clock with struck 8
between 12 and 8 from smaller angle we get that there are 4 hrs in between so
4 × 30 = 120°
done Dana done done
Answer:
ANGLE=120°
SEE THE IMAGE FOR SOLUTION
Given: In Parallelogram ABCD,
• mA = (7y+13)º
• m2B = (106 - 2x)º
• mC = (10y - 32)º
• m2D = (3x – 4)º
What are the values of x and y
Answer:
x = 110
y = 15
Step-by-step explanation:
AB is parallel to CD
angle B and angle D are alternate and they are equal
106-2x = 3x-4
106 + 4 = 3x - 2x
110 = x
same goes for y
7y + 13 = 10y - 32
13 + 32 = 10y - 7y
45 = 3y divide both sides by 3
15 = y
Two sides of an isosceles triangle have lengths of 4 and 8. What is the length of the third side?
Answer:
8
Step-by-step explanation:
Let's start with a simple fact: two sides of an isosceles triangle must be equal. Let's suppose the missing side is 4
That would mean that 4 + 4 equals 8. You must pick a side that exceeds 8, but you loose the property of 2 sides need to be equal.
So the answer has to be 8. The final size of the sides is 4 8 and 8. 4 and 8 exceed the third side (8).
8 and 8 certainly exceed 4.
3. Find x.
Please help me
Answer:
A. 29.91
Step-by-step explanation:
tan(x) = opposite leg / adjacent leg
tan(41) = 26 / x
0.869... = 26/x
26 / 0.869... = x
x = 29.91...
Write the quadratic expressions in the numerator and the
denominator in factored form
4x^2-14x+6/
X^3-7x^2+12x
I have to give 2 Ans form my question so sorry
If 8x = 24, then 24= 8x what property is this
Answer:
it is transitive property
as, a=b
also, b=a
Step-by-step explanation:
If y = 3x +1 were changed to y = x+1, how would the graph of the new function
compare with the original?
A. It would be shifted down.
B. It would be shifted up.
C. It would be less steep.
D. It would be steeper.
Answer:
Step-by-step explanation:
The standard form of a linear equation, a line, is y = mx + b, where m is the slope. The rule is the higher this value of m, the steeper the graph is. If we have the original equation y = 3x + 1, its slope m is 3; in the "new" equation, y = x + 1, its slope is 1. So the "new" equation would be less steep because the slope is a lower value than the original.