Answers
Answer:
y = 6x + 27
Step-by-step explanation:
The required linear equation would be y = 6x + 27 in the slope-intercept form.
What is a Linear Function?A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.
It represents the line's slope-intercept form, which is written as y = mx+ c.
Linear equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing.
The linear equation is given in the question
⇒ 2x = (1/3)y - 9
We have to rewrite the equation in the slope-intercept form.
⇒ 2x = (1/3)y - 9
Multiply by 3 both sides of the above equation,
⇒ 6x = y - 27
Rearrange the term of y to get
⇒ y = 6x + 27
Therefore, the required linear equation would be y = 6x + 27 in the slope-intercept form.
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Related Questions
11. What is the difference between a theorem and a postulate?
Answers
Answer:
A postulate is a statement that is assumed to be true based on basic geometric principles. A theorem is a mathematical statement that can and must be proven to be true.
Step-by-step explanation:
www.ck12.org
Answer:
A thorem is true and can be proven true vs a postulate is guessed true without any evidence.
Step-by-step explanation:
A theorem is a group of statements that are used to prove something else, whereas a postulate is a statement that is not proved but is true through reasoning.
3^3 / 3^-4 = ?
Will mark brainliest plz hurry
Answers
Answer:
[tex]2187[/tex]
Step-by-step explanation:
[tex]\frac{3^3}{3^-^4}[/tex]
When attempting to solve this, we have to consider the exponent rule of fractional exponents:
[tex]\frac{x^a}{x^b} =x^a^-^b[/tex]
Therefore, our initial problem would become:
[tex]3^3^-^(^-^4^)\\[/tex]
Two negatives become positive:
[tex]3^3^+^4[/tex]
Add:
[tex]3^7[/tex]
[tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex]
[tex]= 2187[/tex]
Which statement BEST describes the equation below?
f(x) = 2x + 3
A) It is a relation
B) It is a function
C) It is a one-to-one function
Answers
Answer: function
Step-by-step explanation: I'm not totally sure so I hope this helps
At the park, a statue stands on a marble base. The statue and marble base have a total height of 59.4 inches. The height of the marble base is 16.09 centimeters. Given that 1 inch is equal to 2.54 centimeters, what is the height of the statue?
Answers
Answer:
134.786 centimeters
Step-by-step explanation:
First you need to convert inches to cm by doing 59.4x2.54=150.876 then you subtract 16.09 from that. Your answer would be 134.786 centimeters
Name a segment that is perpendicular to segment AB.
G
E
A
D
H
F
B
С
Answers
Answer:
BC
Step-by-step explanation:
Paul gets money for each chore he completes around the house. He receives $5.00 for taking out the garbage all week, $10.00 for cleaning the bathroom, $3.00 for each time he empties the dishwasher, and $4.00 an hour for babysitting his younger sister. This week, he took out the garbage, emptied the dishwasher three times, and babysat his sister for five hours. How much money should he receive?
Answers
Answer
$30
Step-by-step explanation:
If I deposit $1500 in my bank account and it increased by 15% at the end
of the year, how much money is now in my bank account
Answers
Answer:
$1725
Step-by-step explanation:
15 percent of 1500 = 225 and then you add 225 to 1500, 225 + 1500 = 1725
7a-3(2a-4) what’s the answer?
Answers
Answer:
?
Step-by-step explanation:
Answer:
a+12
Step-by-step explanation:
Distribute the -3 to (2a-4) so you get -6a+12
then it is 7a-6a+12, which is a+12.
If you need an actual number then a+12=0 is a=-12, if you just needed to simplify it, then a+12
A bakery has 72 half gallons of milk. It takes 1 2/3 cups of milk to make a cake. Note that 1 cup = 1/8 half gallon = 0.125 half gallon. How many cakes can the bakery make?
A. 43 cakes
B. 288 cakes
C. 345 cakes
D. 576 cakes
Answers
Answer:
cStep-by-step explanation:
72 half gallons /( 1 2/3 cup/cake *.125 half gal/cup ) = 345.6 = 345 cakes.
.
.
mark as brainnliest pls
In what form is an equation that relates two proportional quantities x and y? Explain your thinking.
Answers
Answer:
A proportional relationship exists between two values x and y when they can be expressed in the general form. Hope this helps
Step-by-step explanation:
1 week away from the election. Who do you think wins? Why do you think so? Who do you want to win? Who is better for the country? Why??? (Trump 2020)
Answers
Answer:
I think that Trump will win because 4 years ago no one thought he was going to but he did anyway
I want none of them to win because I dislike both of them.
What is the value of (-5) the power of 4
Answers
Answer:
625
Step-by-step explanation:
(-5)^4 = 625
42.564in expanded form
Answers
Solve for x. Show your work: x + 3 = 12
Answers
Answer:
x=9
Step-by-step explanation:
The objective is to get x by itself, so to do that we need to subtract three from both sides:
x + 3 = 12
-3 -3
12-3= 9.
So, x=9.
Hope this helped!
Answer: x=9
x+3=12
1x+3=12
-3
=9
1x =9 ---> 1x/1 9/1
/1 /1 ---> 1x/1 9/1
x=9
Step-by-step explanation:
sorry if this doesn't make sense
I NEED A ANSWER ASAPP!!!!!
A linear regression has a correlation coefficient of r=0.82
. Would this be a good correlation coefficient? What is the best value you could have for a correlation coefficient? Explain your reasoning completely.
Answers
Answer:
not very good
Step-by-step explanation:
the correlation should be almost 1 to be a good representation of the data. 0.82 isn't very close. This would be a pretty "rough" approximation at best. Maybe that's all that's needed but usually something close to 1.. like 0.99 is needed.
A basketball hoop has a
diameter of approximately
18 inches. What is the
circumference of the
basketball hoop?
Answers
The perimeter of the basketball hoop is 18π inches.
The circumference of a circle can be found using the formula:
C = πd
where C is the circumference and d is the diameter of the circle.
In this case, the diameter of the basketball hoop is approximately 18 inches. So we can plug this value into the formula to get:
C = π(18)
Using a calculator or approximating π to 3.14, we can evaluate this expression to get:
C ≈ 56.52 inches
Therefore, the circumference of the basketball hoop is approximately 56.52 inches.
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(04.05)Erika calculated that she would spend $115 on school supplies this year. She actually spent $82.50 on school supplies. What is Erika’s percent of error?
28.3%
2.8%
39.4%
32.5%
Answers
Answer:
28.3
Step-by-step explanation:
Based on the number line below, which statement is true?
Answers
you didnt put a number line tho :/
Answer:
25
Step-by-step explanation:
that one spongebob meme
haha
:(
theres no number line
What does the y-intercept represent in this scenario?
Answers
Answer:
The y-intercept represents the temperature at the start, before any time has passed.
In the scenario, y intercept represents the temperature which starts from 8 °F.
What is graph?A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.
In the given graph,
x-axis shows time in hours,
And y-axis shows temperature in Fahrenheit.
Since, the y-intercepts shows the value where x=0, or the values of y-axis.
In the given graph,
The y-axis shows the temperature.
Therefore, y intercept represents the temperature which starts from 8 °F.
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Which is an equation of a line with a slope of 1/2 that contains the point (-4,7)?
Answers
We know that this is a straight line, so it will follow the slope intercept equation:
y = mx + b.
To solve this problem, we need to plug in the x and y values for one point to get b, and then we will know the equation for the line, which is valid for all points.
x = −4
y = −3
m = 1/2
Let's start by solving for b:
b = y − mx
Now we can plug in numbers:
b = −3 − (1/2 × −4)
b = −3 − (−2)
b = −3 + 2
b = −1
Now that we know m and b, we can plug into our original equation:
The equation is y = 1/2x − 1.
Find the slope of the line going through the points (-4, 2) and
(3,5).
Answers
Answer:
The answer is 3/7
Step-by-step explanation:
Name 1 and 2 another name
Answers
Answer:
triangle, square, circle, pentagon, and horcux.
jk whats the question
Step-by-step explanation:
Hey there!
Answer:
One, two, three, delta, pi, hexagon, octagon, pentagram....
Step-by-step explanation:
Name another name of what??
Your question doesn't make a lot of sense but I thought that maybe I could share a few really cool shape and number names that maybe you didn't know!
Hope you enjoy!
:D
Lois Lane leaves Metropolis driving 50 km/h. Three hours later, Superman leaves Metropolis to catch up to her, flying at 300 km/h.
When does Superman catch up with Lois?
Superman will catch up ____ hours after Lois left Metropolis.
Answers
Answer:
0.6 hours
Step-by-step explanation:
50t=300(t-3)
50t= 300t - 900
-250t=-900
t=3.6
dont forget to subtract supermans time as well
3.6-3= 0.6
Answer:
0.6 hours
Step-by-step explanation:
Multi Step Problem (Show work!!)
Y + 7 = -2
Answers
Answer:
y = -9
Step-by-step explanation:
Step 1: Write equation
y + 7 = -2
Step 2: Solve for y
Subtract 7 on both sides: y = -9Step 3: Check
Plug in y to verify it's a solution.
Substitute: -9 + 7 = -2Add: -2 = -2Help!!!!!!!!!!!!!!!!
Answers
Answer:
1-11
2-17
3-23
4-29
5-35
6-41
7-47
8-53
Step-by-step explanation:
They were only in stage one of the 1st day and stage 2 for day 2 and 3 and stage 3 for days 4 - 7 and after day 8 there was no cure
solve -x/3 > 5
a) x -15
c) x 15
Answers
Answer:
x must be a negative to cancel out the negative sign and must be greater than 15 unless it is supposed to equal 5 then a is correct
Step-by-step explanation:
Because 15/3 is equal to 5
I need help on these questions who ever answers this question will be the brainliest!!
Answers
A=78
C=78°
The Opposite angles are equal which means B is equal to 102° and lines on a straight line equals 180 so 180-102=78
Look at the warm-up document and determine your answer. Explain using a well thought out and complete sentence why you chose your answer
Answers
Answer:
The bottom right which I believe is D.
Step-by-step explanation:
All the other lines are increasing meaning they are going upward from left to right. The only one that isn't increasing is D and its decreasing.
b^2 + 35 = −12b Solve each equation by factoring
I really need help with understanding this step by step, thank you. I am giving 40 points for this.
Answers
Answer:
[tex]b=-5, -7[/tex]
Step-by-step explanation:
We have the equation [tex]b^2+35=-12b[/tex] and we want to solve it by factoring.
First, let's move all the stuff to one side so that the other side is 0. So, let's add [tex]12b[/tex] to both sides. This yields:
[tex]b^2+12b+35=0[/tex]
Let's review how to factor. If we have an equation in the following form:
[tex]ax^2+bx+c=0[/tex]
Where a, b, and c are the coefficients of the variable (in our example, our variable is b), then we must find two numbers, p and q, such that:
[tex]pq=ac \text{ (p times q equals a times c) and}\\p+q=b \text{ (p plus q equals b)}[/tex]
Our equation can be rewritten as:
[tex](1)b^2+(12)b+(35)=0[/tex]
So, our a is 1, b is 12, and c is 35.
Therefore, we need to find two numbers that when multiplied together yields a(c) = 1(35) = 35 and we added together yields b = 12.
From here, we just have to guess and check. We can start by listing all the factors of 35. There aren't in fact that many:
[tex]35: 1\text{ and } 35, 5\text{ and } 7[/tex]
1 + 35 is 36, not 12. However, 5 + 7 is indeed 12. So, our two numbers p and q are 5 and 7.
Now what we've found our two numbers, we substitute the b term for our two numbers. We have:
[tex]b^2+12b+35=0[/tex]
We will substitute 12b for 5b + 7b:
[tex]b^2+5b+7b+35=0[/tex]
From here, we factor by grouping. From the first two terms, factor out a b:
[tex]b(b+5)+7b+35=0[/tex]
And from the last two terms, factor out a 7:
[tex]b(b+5)+7(b+5)=0[/tex]
Now, notice that both terms have a [tex](b+5)[/tex]. So, by using grouping or the reverse of the distribute property, we can write:
[tex](b+7)(b+5)=0[/tex]
Notice that if we distribute the left term into the right, we get [tex]b(b+5)+7(b+5)=0[/tex], so our equation is indeed equivalent.
So now we. have:
[tex](b+7)(b+5)=0[/tex]
We can now use the Zero Product Property to acquire:
[tex]b+7=0\text{ or } b+5=0[/tex]
Solve for b for each case. Therefore, the solutions of our equation are:
[tex]b=-7\text{ or } b=-5[/tex]
Notes:
If we can't find two numbers p and q that satisfy our conditions, this means that the equation cannot be factored. So, we will use alternative methods to solve our equation.
Ecuación 2:
10x + 20y = 8000
ayudaaa
Answers
Answer:
y = 300
x = 200
Step-by-step explanation:
Esta pregunta parece incompleta, parece que acá tenemos un sistema de ecuaciones:
x + y = 500
10*x + 20*y = 8000
Estas ecuaciones tienen que resolverse en conjunto, y de acá sacaremos un par de puntos (x, y) que son solución para ambas ecuaciones.
El primer paso para resolver esto es aislar una variable en una de las ecuaciones, en este caso podemos aislar x en la primera ecuación y así obtener:
x = 500 - y.
Ahora podemos reemplazar eso en la segunda ecuación y obtener:
10*(500 - y) + 20*y = 8000.
Ahora resolvemos esto para y.
5000 - 10*y + 20*y = 8000
10*y = 8000 - 5000 = 3000
y = 3000/10 = 300.
Y sabíamos que:
x = 500 - y = 500 - 300 = 200
Entonces la solución es:
y = 300
x = 200