Answer:
The function of the equation is f(x) = [tex]-\frac{1}{2}[/tex] [tex]-\frac{3}{2}[/tex] x
Step-by-step explanation:
The function form of the linear equation is f(x) = m x + b, where
m is the slope of the line represents the graph of the functionb is the y-intercept∵ The equation is 3x + 7 = 2(3 - y)
→ Simplify the right side by multiplying the bracket by 2
∵ 3x + 7 = 2(3) - 2(y)
∴ 3x + 7 = 6 - 2y
→ Add 2y for both sides
∵ 2y + 3x + 7 = 6 - 2y + 2y
∴ 2y + 3x + 7 = 6
→ Subtract 7 from both sides
∵ 2y + 3x + 7 - 7 = 6 - 7
∴ 2y + 3x = -1
→ Subtract 3x from both sides
∵ 2y + 3x - 3x = -1 - 3x
∴ 2y = -1 - 3x
→ Divide each term by 2
∴ y = [tex]-\frac{1}{2}[/tex] - [tex]\frac{3}{2}[/tex] x
→ Replace y by f(x)
∴ f(x) = [tex]-\frac{1}{2}[/tex] [tex]-\frac{3}{2}[/tex] x
∴ The function of the equation is f(x) = [tex]-\frac{1}{2}[/tex] [tex]-\frac{3}{2}[/tex] x
What is the slope of the line that passes through the pair of points (-4, 1) , (5, 4)
Answer:
the answer is 5/9
Step-by-step explanation:
Answer:
on slope calculator i got 0.3?
Step-by-step explanation:
sorry if it aint right
Can someone pleaseeeee solve these for me I will give brainiest!!!!
Step-by-step explanation:
Bir abzas qurmaq üçün 5 addımdan keçək. Hər addım üçün bir izah və nümunə var. Nümunə bəndimiz kölə ruhları haqqında, Afrikalı Amerikalıların köləlik dövründə yaratdığı orijinal mahnılarla əlaqəli olacaq. Model paraqrafı fikrini sübut etmək üçün illüstrasiyadan (nümunələr verməklə) istifadə edir.
11.9 x 22.1? What’s the answer?
Answer:
11.9* 22.1= 262.99
I would honestly use a calculator for math like this, lol.
Answer:
262.99
Step-by-step explanation:
hope it helps. :)
If y varies inversely as x and y = 32 when x = 5, find x when y = 240.
Answer:
2/3
I hope it will be useful.
Which of the following situations are equal to 6? Select all that apply.
A) 30% of 10
B) 60% of 15
C) 50% of 12
D) 20% of 30
E) 75% of 8
Answer:
C)
D)
E)
Step-by-step explanation:
30% of 10 = [tex]\frac{30}{100}*10 = 3 \neq 6\\\\[/tex]
B) 60% of 15 = [tex]\frac{60}{100}*15 = \frac{6}{10}*15=\frac{3}{5}*15=3*3 = 9 \neq 6\\[/tex]
c) 50% of 12 = [tex]\frac{50}{100}*12=\frac{1}{2}*12=6\\\\[/tex]
D) 20% of 30 = [tex]\frac{20}{100}*30=\frac{1}{5}*30= 6[/tex]
E)75% of 8 = [tex]\frac{75}{100}*8 = \frac{3}{4}*8=3*2 = 6[/tex]
Find the measure of the exterior angle.
By exterior angle property
[tex]j = 90 + 40[/tex]
[tex]j = 130[/tex]
An expression is shown. 2/3+1/5 What is the value of the expression?
Answer:
2.5 1/2
Step-by-step explanation:
which graph shows a negative slope and a positive y-intercept?
Answer:
it's the bottom right!! TRUST MR I PROMISE
Step-by-step explanation:
IT IS THE ONLY LINE GOING DOWN which proves it's negative!!!
What is the slope of a line that is parallel to the given equation?
y -- 2 = 5 (x + 1)
Answer: Slope = 10.000/2.000 = 5.000
x-intercept = 7/-5 = -1.40000
y-intercept = 7/1 = 7.00000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-2-(5*(x+1))=0
STEP
1
:
Equation at the end of step 1
(y - 2) - 5 • (x + 1) = 0
STEP
2
:
Equation at the end of step 2
y - 5x - 7 = 0
STEP
3
:
Equation of a Straight Line
3.1 Solve y-5x-7 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-5x-7 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000
y-intercept = 7/1 = 7.00000
Calculate the X-Intercept :
When y = 0 the value of x is 7/-5 Our line therefore "cuts" the x axis at x=-1.40000
x-intercept = 7/-5 = -1.40000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 17.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 17.000 - 7.000 = 10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 10.000/2.000 = 5.000
Geometric figure: Straight Line
Slope = 10.000/2.000 = 5.000
x-intercept = 7/-5 = -1.40000
y-intercept = 7/1 = 7.00000
what is log7 12+log7m-log7n?
Hello!
[tex]\large\boxed{\log_{7}{(\frac{12m}{n}})}[/tex]
Use the log properties to simplify:
log (a) + log (b) = log (a · b)
log (a) - log (b) = log (a ÷ b)
Therefore:
[tex]log_{7}12 + log_{7}m - log_{7}n\\\\= log_{7}(12 * m / n}\\\\log_{7}{(\frac{12m}{n}})[/tex]
Which equation represents the relationship between the x -values any the y -values in the table?
A square has an area of 121 yd^2. What is the length of each side?
answer in yd
Answer:
11 yards.
Step-by-step explanation:
The area of a square is A= s²
Since the area is given as 121, you just take the square root.
[tex]\sqrt{121} = s^{2}[/tex]
s= 11 yards
Chloe bought 8/9 pounds of grapes. She used 1/3 of the grapes in a fruit salad and saved the rest. How many pounds of grapes were in the fruit salad?
At an electronics store, the price of a tablet is marked down 15% to $212.50.
What was the price of the tablet before the markdown?
Enter your answer in the box. ....
Answer:
ciao la risposta è that Italian for
hi the answer is $250.00
Step-by-step explanation:
I hope the picture helps
Have a blessed day
Express the area of the entire rectangle
Answer:
area of rectangle = l*b
=x+8*x+3
=(x+3)(x+8)
=(x square + 11 x +24)
Step-by-step explanation:
answer is (xsquare + 11 x +24)
you purchase a car with a $23,000 loan with %4 simple interest rate. Suppose you pay off the loan after 5 years. How much interest do you pay on your loan?
Answer:
Answer: $4,600
Step-by-step explanation:
Which inequality is shown in the graph below.
Nelson is going on an overnight family reunion camping trip. He is in
charge of bringing the wood for the campfire. He will start the fire with 6
logs and then plans to add 3 logs for each hour the fire burns.
b. Suppose the family decides to stay for 2 nights next year. Write the
expression for the number of logs they would need for 2 nights.
Answer:
starting with 6 and adding 3 an hour over two days or 48 hours that would be 3x48= 144 then add your original 6 that would be 150
Step-by-step explanation:
6 + (3x48) = logs for two days
6 + 144 = 150
150!!!
a. The number of logs needed for one night can be represented by the expression:
6 + 3h
b. The expression for the number of logs needed for 2 nights is 12 + 6h.
What is an expression?A term is a single mathematical phrase. It might consist of only one variable—a letter—one number—positive or negative—or several variables multiplied but never added or subtracted. A number is placed in front of some nouns that have variables. Coefficients are numbers that come before phrases.
If Nelson plans to start the fire with 6 logs and add 3 logs for each hour the fire burns, then the number of logs needed for one night can be represented by the expression:
6 + 3h
where h is the number of hours the fire burns.
To find the number of logs needed for 2 nights, we can simply multiply the number of logs needed for one night by 2:
2(6 + 3h)
Simplifying this expression gives:
12 + 6h
So the expression for the number of logs needed for 2 nights is 12 + 6h. This represents starting the first night's fire with 6 logs, adding 3 logs per hour for that night, and then starting the second night's fire with 6 logs again, and adding 3 logs per hour for that night as well.
To learn more about the expression;
brainly.com/question/24242989
#SPJ2
What value of x is in
the solution set of -2(3x + 2) > -8x + 6?
A)-6
B)-5
C)5
D)6
The answer is 6
Answer:
6
Step-by-step explanation: you told me your answer
Simplify
26.08 + (-6)^2 • (3.4-8.9)÷9
A.) 4.08
B.) 5.62
C.) -7.62
D.) -9.14
Johan ran 36.25 miles in 5 hours. How many miles did he run every hour?
You are buying a tv that originally cost 1,050 you have a coupon for 15% off what is your new total for the tv.
Answer:
$892.50 ( Eight Hundred Ninety Two dollars and fifty cents)
Step-by-step explanation:
Just subtract 15% from 1050 (you also can check calculator if you want second opinion!)
(have a nice day)
I'll give brainliest if correct
Answer:
Go down to -4 and make a 1/1 graph
Step-by-step explanation:
I really need help my dad will get really mad if i dont get this one
how are 29.35 and 2.935 related
They are both decimal numbers.
Answer:
They are the same since the only thing that changed is the decimal placement.
Step-by-step explanation:
-18 > -2(2x + 9) - 4+x
Answer:
x>-4/3 last answer i got i hope it is helpful have a nice day
If you purchase a Notebook computer: Regular price $1598, now 20% off
i) Calculate the discount. You would save $
ii) calculate the sale price, before taxes. The final sale price is $
I WILL MARK BRAINEST!!
Answer:
the sale price would be $319.60 and the final price would be $1278.40
Step-by-step explanation:
Eduardo attends a slime convention in Louisville, Kentucky. He buys a watermelon slime for $9.00 and a waffle slime for $8.50. Louisville’s sales tax is 6%.
What is the sales tax on this purchase?
If necessary, round the amount of tax to the nearest 100th.
A: Not Here
B: $1.10
C: $1.05
D: $10.50
Answer:
1.05 dollars will be ur answer ;)
Step-by-step explanation:
The ratio of girls to boys in Jaime's chorus is 2 to 4. If there are 25 girls in her chorus, how many boys are there? *
Answer:
50 boys
Step-by-step explanation:
2/4 = 1/2
25*2=50
Cory has only dimes in his piggy bank. A dime is worth 10 cents. Which could be the value of the money in Cory's piggy bank?
Answer:
It depends on how many dimes are in the piggy bank. It could be any answer that didn't have a 5 in the tenths place. For example, it couldn't be a number like $1.05 because any whole number multiplied by 10 would end in a 0
shift f(x)=x^2 three units to the left and four units down
a) f(x)=(x+4)^2 -3
b) f(x)=(x-4)^2 -3
c) f(x)=(x-3)^2 -4
d) f(x)=(x+3)^2 -4
Given:
The parent sine function is [tex]f(x)=x^2[/tex].
It shifts three units to the left and four units down.
To find:
The new function.
Solution:
The translation is defined as
[tex]f_1(x)=f(x+a)+b[/tex] .... (1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
Graph shifts 3 units to the left. So, a=3.
Graph shifts 4 units down. So, b=-4.
Putting a=3 and b=-4, we get
[tex]f_1(x)=f(x+3)-4[/tex]
[tex]f_1(x)=(x+3)^2-4[/tex] [tex][\because f(x)=x^2][/tex]
Here, new function is also defined by f(x). So, [tex]f(x)=(x+3)^2-4[/tex].
Therefore, the correct option is d.