Answer:
a = 2
Step-by-step explanation:
1/4 (20-4a)=6-a
5 - 1 = 6 - a
4 = 6 - a
a = 6 - 4
a = 2
:) Hope this helps, please mark as brainliest!
Find the domain and range of y=-5x-1
Answer:
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex][tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]Step-by-step explanation:
Finding the domain:
The domain of a function is the set of possible input values for which the function is real and defined.
Given the function
[tex]y=-5x-1[/tex]
The function has no undefined points nor domain constraints. Hence, the domain is
[tex]-\infty \:<x<\infty \:[/tex]
i.e.
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Finding the range:
The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.
The range of polynomials with odd degree is all the real numbers.
Hence, the domain is
[tex]-\infty \:<y<\infty \:[/tex]
i.e.
[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
x^2 plus 2y divideed by 2x plus 3z equal
Answer:
(x^2 plus 2y")
--------------------
2x(2x + 3)
Step-by-step explanation:
Doing this problem correctly requires the application of "order of operations" rules. "x^2 plus 2y" actually means "(x^2 plus 2y"), and so your
x^2 plus 2y divided by 2x
comes out to:
(x^2 plus 2y")
--------------------
2x
If we now divide this result by "2x plus 3z," we get:
(x^2 plus 2y")
--------------------
2x
================
2x + 3
or:
(x^2 plus 2y")
--------------------
2x(2x + 3)
Lntegers 0, -2, -3, -4, -5, -6, -7, -8, and -10 to fill in a 3 x 3 magic square so that every row, column, and diagonal has the same sum. The sum must be -15.
The given numbers are 0, -2, -3, -4, -5, -6, -7, -8, and -10.
Sum of all the integers is -45.
There are 9 places in 3x3 magic square, so divide -45 by 9, we have -45/9=-5.
Put the number -5 at the center place in the magic square.
Now, take the integer having the largest magnitude, i.e -10.
There are two positions to place -10, one is diagonal positions and the other is non-diagonal positions and to make sum = -15, the other number with -5 and -10 must be 0 as shown in the figure (i) and (ii).
Now, the row and column having 0 must have -8 and -7 to make sum -15, which disregards the possibility of -10 at the diagonal place ( figure (i)). So, proceeds with the places in figure (ii), the possible places of -8 and -7 have been shown in figure (iii).
Now, as the sum of diagonals = -15, so place -3 and -2 at diagonal positions and also place the remaining numbers -4 and -6 to make the sum of numbers in columns and rows -15 as shown in figure (iv).
When it is about 68°F, crickets chirp 124 times a minute. When it is about 80°F, they chirp 172 times a minute. WRITE an equation in POINT SLOPE FORM for the line that models this situation.
Answer:
4x+148
Step-by-step explanation:
Let the temperature be x and time taken by cricket to chirp be y
if when it is about 68°F, crickets chirp 124 times a minute, this means;
at x1 = 68, y1 = 124
If it is about 80°F, they chirp 172 times a minute, then;
at x2 = 80, y2 = 172
The standard form of equation in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line.
First we need to get the slope.
m = y2-y1/x2-x1
m = 172-124/80-68
m = 48/12
m =4
Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)
get the intercept c
124 = 4(68) + c
c = 272-124
c = 148
The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)
In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.
Answer:
66°
Step-by-step explanation:
tan β = [tex]\frac{4.1}{1.8}[/tex]
β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°
Sid earns $135 per day as a babysitter. He works 9 hours each day. How much does he eam in an hour?
OA 517
OB. $15
OC. $14
OD. $12
OE $11
Answer:
B is the answer
Step-by-step explanation:
Mark me as the brainliest,thank you
#Carryonlearning
What is the y-intercept?
4
Answer:
A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4)
Step-by-step explanation:
I am so stuck! :( Pls help me!!! I don't get the problem and I don't know how to solve it
Answer:
[tex]\frac{n^{2}}{2a}[/tex]
Step-by-step explanation:
Just split it up first [tex]\frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}[/tex] Then 9 divided by 18 can be simplified into the fraction 1/2What can go into [tex]a[/tex] and [tex]a^2[/tex] ? a itself right, so if you divide a by a you get 1, if you divide [tex]a^2[/tex] by a you get aSame as the a fraction, if you divide [tex]n^3[/tex] by n you get [tex]n^2[/tex] [tex]\frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}=\frac{1}{2}\times \frac{1}{a} \times\frac{n^2}{1}=\frac{n^{2}}{2a}[/tex]Answer:
(n^2)/2a
Step-by-step explanation:
We'll take this in small steps. Don't worry and follow along if you wish :D
Where do we start? Well, first, we notice that all of the numbers/variables (on both the denominator and the numerator) are multiplied by each other. If this case had addition or subtraction in the fraction, the explanation would have differed.
Let's take on a simpler example to show you what I mean. Here's a relatively simpler equation with no pesky variables:
(1 + 3)/4
This equation has to be broken down like this:
1/4 + 3/4
And although we could just do (1 + 3) quickly and divide by 4, consider it if we replace them with numbers instead, or variables in other words:
(x + y)/x
Then, it would work the same way as the previous example:
x/x + y/x
And that would further simplify to (1 + y/x).
But, we're lucky! Because there is no addition or subtraction, we won't have to divide all the numbers that are in the numerator with the number(s) in the denominator. Consider this:
(3*4)/4
We only need to divide 4 by the denominator (which is also four, in this case) and not both 3 and 4 like how we would solve if it had addition or subtraction.
First step! Let's take all of the variables out of this nasty equation we have on our hands to make it simpler:
(9an^3)/(18a^2n)
We would be left with...
9/18
And then we would reduce to leave 1/2. Notice that if we add all the variables back, we would have:
(1an^3)/(2a^2n)
Or (an^3)/(2a^2n)
If we write it out, we'll find this equation a tad bit easier with the large numbers dealt with (although I will admit, it doesn't look that great on the screen—lol)!
Back to business. Here, we need to simplify the variables. Given, we have to remember that variables are just your every-day number (but unknown). Because of that, we get to divide them very much like how we would with regular numbers. Rope in some of our previous lesson about not having to divide all the numbers on the numerator from the denominator from the beginning, too!
(an^3)/(2a^2n)
You can cancel out the variable a^ in this equation. That would leave you with:
(n^3)/(2an)
Try to simplify the rest on your own and use my work to check your answers! if you can't, then no worries. Follow along with me :D
We can also reduce using n. That will leave:
(n^2)/2a
And then you're done! I would recommend more questions like these (if you aren't already doing them) because you'll be using simplifying techniques similar to this equation in the future.
Good luck and keep studying!
how to figure out how many solutions 7y+13=5y-3
Answer:
7y+13=5y-3
7y=5y-16
2y=-16
Y=-8
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
You collect like times together.
7 y + 13 = 5 y - 3
7 y - 5 y = - 3 - 13
2 y = - 16
2 y / 2 = - 16 / 2
y = - 8
can you please help me i need help!!
Answer:
A. The fraction 1[tex]\frac{1}{6}[/tex] would negative, since she is cutting off/losing hair rather than gaining it.
B. (this is just an improper fraction converted to have the same denominator as the second fraction, and is equivalent to -1[tex]\frac{1}{6}[/tex] )--> - [tex]\frac{14}{12}[/tex] + [tex]\frac{5}{12}[/tex] = - [tex]\frac{9}{12}[/tex] or - [tex]\frac{3}{4}[/tex]
75% of the items collected at the food drive were cans of soup. If 90 cans of soup were
collected, how many items were collected in all?
Answer:
67.5
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90
The slope of the line is
Answer:
-2
Step-by-step explanation:
PLEASE HELP THIS HARD Ali deposits her weekly paycheck of $412.60 and withdraws $40 cash from her bank account each week. If her starting balance was $315.85, what is her balance after 3 weeks?
Answer:
Step-by-step explanation:
jjjj
2 1/2 + (-1/3)
PLz, help me with this question.
Answer:
2 1/6
Step-by-step explanation:
prove y=6x-24 and y=1/6x +4 are inverse functions
Answer:
Answered
Step-by-step explanation:
Answer:
well you did the law of inverse on 6x you proved it by putting the one above it and switched the minus with a plus and divided 24 by 6
Step-by-step explanation:
WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE
Answer:
2,322,775
Step-by-step explanation:
[tex] a_1=4\\\\
a_i=a_{i-1}+11\\\\
\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\
d = a_2-a_1 \\d= 15-4 \\d= 11\\\\
S_{650}=?\\\\
\implies n = 650\\\\[/tex]
By the formula of sum of an Arithmetic Sequence
[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\
S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\
S_{650}= 325 [8+649\times 11]\\\\
S_{650}= 325 [8+7,139]\\\\
S_{650}= 325\times 7,147\\\\
\huge \red {\boxed {S_{650}=2,322,775}} [/tex]
It took 48 minutes to drive downtown. An app estimated it would be less than that. If
the error was 20%, what was the app's estimate?
Answer:
38.4 minutes
Step-by-step explanation:
Assuming the error was 20% less
Answer:
40 mins
Step-by-step explanation:
joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour for 1.5 hours. What was the total distance in miles that joyce traveled during this time ?
Answer:
322 1/2 miles
Step-by-step explanation:
Recall how s = d/t ; speed = distance/time.
To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.
speed × time = distance/time × time
speed × time = distance
distance = speed × time ; d = st.
Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.
Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.
Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.
Distance 1 + Distance 2 = Total distance.
270 miles + 52 1/2 miles = 322 1/2 miles.
The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function C equals 34.95 you +6.25 where you is the number of uniforms but if there are at least eight players but no more than 12 players on the team what is the domain you of the function for this situation
Answer:
8 ≤ u ≤ 12
Step-by-step explanation:
Given:
C = 34.95u +6.25
Where,
u = number of uniforms
what is the domain you of the function for this situation
The number of uniforms depend on the number of players
If there are at least 8 players but not more than 12 players on the volleyball team.
u ≥ 8
u ≤ 12
The domain of the function is
8 ≤ u ≤ 12
im not having a good day so maybe this will make someone elses a little bit better :) Heres 100 points.
Answer:
yo thank you man your the best
Tysm have a good day :)
Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units
C) reflection over the x-axis
Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.
The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?
Answer:
Note. There is a mismatch between the graph and the equation
------------------------------
As per the graph, 6 ft is reached at 4 secondsThe graphed line is f = 1.5s------------------------------
If we go by the equation, then:
f = 2.25s6 = 2.25ss = 6/.2,25s = 2.67 secondsIn rectangle KLMN, KM = 6x + 16, and LN = 49. Find the value of x.
Answer:
D. 5.5
Step-by-step explanation:
Answer: 5.5
Step-by-step explanation:
KM=LN
6x+16=49
6x=33, x=5.5
One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many bottles of mineral water can you drink at most with 20 dollars
Step-by-step explanation:
If one dollar can buy a bottle of mineral water, then;
$1 = 1 bottle
To determine the amount of mineral water you can drink with at most 20 dollars, we will say;
$20 = x bottle
Solving both equality postulate;
$1 = 1 bottle
$20 = x bottle
Cross multiply
1 * x = 20 * 1
x = 20
Hence about 20 bottles of mineral drink can be bought with at most 20 dollars
Answer: 39
Step-by-step explanation:
You exchange $20 for twenty bottles of mineral water.
[Drank: 20
Exchanged: 20/2=10]
[Drank: 20+10
Exchanged: 10/2=5]
[Drank: 20+10+5
Exchanged: 4/2=2]
[Drank: 20+10+5+2+1
Exchanged: 2/2=1]
Drank in total: 20+10+5+2+1+1
which is = 39
DESARROLLO:
Un capital de $5000 está depositado en un banco y produce un interés anual simple del 2% Recuerde: I = C. T.t
I = Interés
C = Capital.
T = Porcentaje como número decimal.
t = Tiempo en años.
Con esta información determine:
a) Escriba la función que representa el problema.
Calcule
b) ¿Cuánto dinero hay al cabo de un año?
c) ¿Cuánto dinero hay al cabo de dos años?
d) ¿Cuánto dinero hay al cabo de n años?
e) Realice una tabla de valores y su gráfico.
f) ¿Qué tipo de función representa la gráfica?
Answer:
C.¿Cuanto dinero hay al cabo de n anos
yall stay safe out here it is starting to get crazy pleas wear your mask so we can all be safe
yes
Step-by-step explanation:
i will 100% alsways wear a mask
2 The following functions are equivalent.
Sketch a graph and label the points.
f (2) = 3 (x + 4) (x – 4)
f (x) = 3x2 - 48
What words do I fill the blanks in with? Please hurry <3
Answer:
It says why you suck at cooking
Hope this helps!! :D
i just need help with this one question
Answer: 1/4 chance of picking red
Step-by-step explanation: There are 120 buttons in all, so the fraction of red marbles is 30/120. 30/120 = 1/4
Hope this helps!
Answer:
30/120
Step-by-step explanation:
Add 30+30+60
120/ 4 because 60/2 is 30 so thats two 30s
then there is a 30 out of 120 chance it is red
Solve the proportion below. X/12=12/72
Answer:
x=2
Step-by-step explanation:
2/12 is equal to 12/72
Answer:
its 2
Step-by-step explanation: