Graph y−2=−34(x−6) using the point and slope given in the equation.
Use the line tool and select two points on the line.
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Answer:
Point-slope form: An equation of a straight line in the form [tex]y -y_1 = m(x -x_1)[/tex];
where
m is the slope of the line and [tex](x_1, y_1)[/tex] are the coordinates of a given point on the line.
Given the equation: [tex]y-2=-\frac{3}{4}(x-6)[/tex] ......[1]
On comparing with Point slope form equation we have;
m = [tex]-\frac{3}{4}[/tex] and point (6 , 2)
Now, find the Intercept of the given equation:
x-intercept: The graph crosses the the x-axis i.e,
Substitute y =0 in [1] and solve for x;
[tex]0-2=-\frac{3}{4}(x-6)[/tex]
[tex]-2=-\frac{3}{4}(x-6)[/tex]
Using distributive property: [tex]a\cdot(b+c) = a\cdot b +a\cdot c[/tex]
[tex]-2 = -\frac{3}{4}x + \frac{18}{4}[/tex]
Subtract [tex]\frac{18}{4}[/tex] on both sides we get;
[tex]-2-\frac{18}{4}= -\frac{3}{4}x + \frac{18}{4} -\frac{18}{4} [/tex]
Simplify:
[tex]-\frac{26}{4} = -\frac{3}{4}x[/tex]
or
-26 = -3x
Divide both sides by -3 we get;
x = 8.667
x-intercept: (8.667, 0)
Similarly, for
y-intercept:
Substitute x = 0 in [1] and solve for y;
[tex]y-2=-\frac{3}{4}(0-6)[/tex]
[tex]y-2=\frac{18}{4}[/tex]
Add 2 on both sides we get;
[tex]y-2+2=\frac{18}{4}+2[/tex]
Simplify:
[tex]y=\frac{26}{4} =6.5[/tex]
y-intercept: (0, 6.5)
Now, using these two points (8.667, 0) and (0, 6.5) you can plot the graph using line tool as shown below.
Related Questions
Use the Change of Base Formula to solve: 2^2x = 90. Round to the nearest tenth.
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4x＝90
x＝22.5
Please help!! I really don’t know what this is
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Add 7 on both sides.
Divide by -1/2 or multiply by -2.
Answer should be 8
Andrea gets 3 7/8 yards of purple ribbon, 3.7 yards of pink ribbon and 3 4/5 yards of blue ribbon. List the numbers in order from least to greatest.
Answers
3 4/5 = 3.75
3 7/8 = 3.875
3.7 yards of pink, 3 4/5 yards of blue, 3 7/8 yards of purple is your answer
you can change all of them to fractions too, but i decided to change them all to decimals
hope this helps
1052 divided by 52
Write it in the simplest form
Answers
This can be rounded to equal 20.2.
Hope this helps!
For the denominator, recognize that [tex]50\times 2[/tex]
[tex]Multiple = 2 [/tex]
Multiply both the numerator and denominator by the multiple 2
[tex] \dfrac{1052*2}{50*2}[/tex]
[tex] \frac{2104}{100} [/tex]
[tex]= 21.04[/tex]
A cell phone company charges a monthly fee plus $0.25 for each text message. The monthly fee is $30.00 and you owe $59.50. Write and solve an equation to find how many text messages x you had.
Answers
hope this helps
Answer:
An equation is 0.25x+30=59.5.
You had 118 text messages.
Step-by-step explanation:
Aa a member of a music club you can order CDs for $14.99 each the music Club also charges 4.99 for each shipment the expression 14.99n + 4.99 represents the cost of n CDs find total cost for ordering 3 CDs
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n =3
equation 14.99n +4.99 =
14.99*3 + 4.99 = 44.97 + 4.99 = $49.96
which function is increasing? HELP
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Hiya :)
The answer is
f(x)=5^x
Hope this helped!!!!
Have a great day!!!!
:)))
Please check over this!! 20 points! easy fractions
8 SIMPLE QUESTIONS
______________________________________
QUESTION 1
All of the following fractions are proper fractions, except
A-11/12
B-7/5
C-1/6
or D- 8/15
___________________________________________________________________
QUESTION 2
How could you model the fraction 3/8 with a circle?
A-Divide the circle into eight equal pieces, and shade three of them.
B-Draw three circles, and shade eight pieces.
C-Divide the circle into three equal pieces, and shade eight of them.
D-Divide the circle into eleven pieces, and shade one of them.
_________________________________________________________________
QUESTION 3
Kara has four boy cousins and three girl cousins. Write a fraction to represent the part of her cousins that are girls. Use / for the fraction line.
__________________________________________________________________
QUESTION 4
Josh has eight pairs of white socks, two pairs of black socks, and one pair of blue socks. Write a fraction to represent the part of his socks that are white. Use / for the fraction line.
__________________________________________________________________
Answers
2 is correct
3 is correct
4 is correct
5 is correct
6 is correct
7 is correct
8 is correct
Hoped I helped!
2:A
3: 3/7
4: 2/11 for black, 1/11 blue, and 8/11 is the white
Consuela wrote the expression 2 × (31 + 47). She states that the expression is a product and that the expression (31 + 47) is a factor. Marcus states that the expression (31 + 47) is a sum of two terms. Who is correct? Explain.
Answers
A product is anything multiplied together, and what you multiply to get that product is a factor of the product. with 2 x (31 + 47), you're multiplying two factors, 2 and (31 + 47), to get the product 2 x (31 + 47).
A sum is anything added together, so 31 + 47 is a sum.
Answer: They are both correct, A sum is anything added together, so 31 + 47 is a sum.
Two quantities, x and y, are directly proportional. If you take a third of x, what happens to y?
A: It is tripled.
B: It is cubed.
C: It depends on the starting value of x.
D: It is multiplied by 1/3.
Answers
One-third of x will also give one-third of y. The correct option is D.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that two quantities, x and y, are directly proportional. If x is directly proportional to y it means that x varies directly with y.
x ∝ y
If multiply the value of x by ( 1 / 3 ) the value of y will also be multiplied by ( 1 / 3 ).
Therefore, one-third of x will also give one-third of y. The correct option is D.
To know more about an expression follow
https://brainly.com/question/24868934
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jill has $9.96 in nickles,pennies, and dollar bills. she has 12 more pennies than nickles and fove fewer dollar bills than nickles. how many of each does she have?
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Jill has 14 nickels, 26 pennies, and 9 dollar bills.
To solve Jill's problem involving money in nickels, pennies, and dollar bills, we can use algebra. Let's define the variables as follows:
n for number of nickels
p for number of pennies
d for number of dollar bills
We know that:
p = n + 12
d = n - 5
A nickel is worth 5 pennies, so 5n represents the value of nickels in pennies.
Each dollar bill is worth 100 pennies.
In total, Jill has $9.96, which is the same as 996 pennies.
The total amount in pennies can be written as:
5n (nickels) + p (pennies) + 100d (dollar bills) = 996
Substitute the first two equations into the total:
5n + (n + 12) + 100(n - 5) = 996
Simplify and solve for n:
106n - 500 = 996
106n = 996 + 500
106n = 1496
n = 1496 / 106
n = 14
Using the values we just found for n, we can find p and d:
p = n + 12 = 14 + 12 = 26
d = n - 5 = 14 - 5 = 9
So, Jill has 14 nickels, 26 pennies, and 9 dollar bills.
Austin is going to the movie theater. It is 3 3/5 miles from his house. Austin takes his scooter, but it breaks down 2/3 of the way to the theater. How far is Austin from his house?
Answers
Final answer:
Austin's scooter breaks down 2/3 of the way to the movie theater, which is 3 3/5 miles away from his house. After covering 2/3 of the journey, he is therefore 1 1/5 miles from his house.
Explanation:
Austin is going to the movie theater which is 3 3/5 miles from his house. When his scooter breaks down 2/3 of the way there, we need to calculate how far he is from his house. To find this, we multiply the total distance to the movie theater by the fraction 2/3:
3 3/5 miles = 18/5 miles (since 3 3/5 = 15/5 + 3/5 = 18/5)(18/5) * (2/3) = 36/15 = 12/5 milesThis means Austin covered 12/5 miles when his scooter broke down, leaving him with the remainder of the journey to complete:
Total distance - distance covered = 18/5 miles - 12/5 miles = 6/5 milesTherefore, Austin is 6/5 miles or 1 1/5 miles from his house.What is 35,506 divided by 438
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Hope this helps :)
Paloma used these steps to solve the equation 6x+5=3(2x+1)6x+5=3(2x+1). Which choice describes the meaning of her result, 2=02=0?
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The given equation 6x + 5 = 3(2x + 1) has no possible solution.
What is a mathematical function, equation and expression?function : A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the equation as follows -
6x + 5 = 3(2x + 1)
The given equation is -
6x + 5 = 3(2x + 1)
6x + 5 = 6x + 3
5 = 3
Therefore, the given equation 6x + 5 = 3(2x + 1) has no possible solution.
To solve more questions on functions, expressions and polynomials, visit the link below -
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hi I really need help with a and b. thank you
Answers
[tex] \frac{27}{45} [/tex] = [tex] \frac{x}{5} [/tex]
Next, you would cross multiply.
135 = 45x
Now, the last step would be to isolate the x. To do this, you would divide both sides by 45.
3 = x
[tex] \frac{27}{45} [/tex] = [tex] \frac{3}{5} [/tex]
b) To solve this equation, you would need to fill in the blank with a substitute. Let x represent the unknown number.
[tex] \frac{2}{6} [/tex] = [tex] \frac{3}{x} [/tex]
Next, you would cross multiply.
18 = 2x
Now, the last step would be to isolate the x. To do this, you would divide both sides by 2.
9 = x
[tex] \frac{2}{6} [/tex] =[tex] \frac{3}{9} [/tex]
I hope this helps!
write an equation, in slope-intercept form, to model each sitution. : the population of pine bluff is 6791 and is decreasing at the rate of 7 per year.
Answers
So since it's decreasing we know that it'll be a negative. It decreases by 7 pine bluffs per year. We can use that equation to model the situation.
But let me show you an example to prove it.
Lets say we want to know how many pine bluffs there would be in 3 years
y = -7(3) + 6791
y = -21 + 6791
The -21 is the total amount lost in those 3 years, but we have to subtract it from the original amount which was 6791
y = -21 +6792
y = 6770
In three years there would only be 6,770 pine bluffs.
When filing jointly, Melvin and Sylvia have a standard deduction of $11,400, they can claim one exemption for each of them for $3650 each, and they don't have any additional adjustments to income. What is their taxable income?
Answers
To calculate Melvin and Sylvia's taxable income when filing jointly, subtract their standard deduction and exemptions from their adjusted gross income.
Explanation:To calculate Melvin and Sylvia's taxable income when filing jointly, we need to subtract their standard deduction and exemptions from their adjusted gross income.
Given that their standard deduction is $11,400 and they can claim one exemption each valued at $3,650, the calculation is as follows:
Taxable income = Adjusted gross income - (Standard deduction + Exemption)
Let's say their adjusted gross income is $30,000. Plugging in the values, we get:
Taxable income = $30,000 - ($11,400 + $3,650 + $3,650)
Taxable income = $30,000 - $18,700 = $11,300
Therefore, their taxable income is $11,300.
Which expression is equivalent to 5.4−1.8 ? A. −1.8+5.4 B.−1.8−5.4 C. 1.8 + 5.4 D.1.8−5.4
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Use linear approximation to estimate 1/4.002
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The estimation for 1/4.002 is approximately 0.2499.
Linear approximation involves using the equation of a line to estimate a value close to a given point. In this case, to estimate 1/4.002, we can use the fact that 1/4 is approximately 0.25 and find the equation of the line passing through 1/4 and 1/4.002.
To find the linear approximation, we first determine the slope between the two points, which is the derivative of the function at the known point. Then, we use the point-slope form of a line equation to find the approximation. Rounding to four decimal places, the estimate for 1/4.002 is approximately 0.2499
Flying to miami whit a tailwind a plane averaged 376 mph. On the return trip the plane only averaged 312 mph while flying back into the same wind. Find the speed of the wind and speed of the plane in still air.
please show me the work
Answers
Let y = the speed of the wind., mph
When flying with a tailwind, the effective speed of the plane is (x + y), therefore
x + y = 376 (1)
When flying back against the wind, the effective speed is (x-y), therefore
x - y = 312 (2)
Add (1) and (2).
2x = 376+312 = 688
x = 344 mph
y = 376 - x = 32
Answer:
Plane: 344 mph
Wind: 32 mph
In a science experiment, two tomato seeds were planted and watered. After six weeks, the plant that was fertilized was 26 centimeters tall. The plant that was not fertilized was only 74% as tall. What was the height of the shorter plant?
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Answer:
Ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttteeeeeeeeeeeeeeeeeeeeeeeppppppppppppppp------bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy-step explanationnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Suppose you randomly select a letter from BURGER AND STARBIRD. Imagine writing these letters on Ping-Pong balls – one letter per ball – then putting them all in a barrel and removing one. What is the probability of pulling out an R? What is the probability of pulling out a B? What is the probability of pulling out a letter that appears in the first half of the alphabet? What is the probability of pulling a vowel?
Answers
There are 17 letters.
Now count each type of letter you are interested in and divide by 17.
a) There are four R's, so the probability of pulling out an R is 4/17.
b) There are two B's, so the probability of pulling out an B is 2/17.
c) Letters A through M appear in the first half of the alphabet.
These letters are from the first half of the alphabet:
BGEADABID
There are 9 of them.
The probability of pulling out a letter that appears in the first half of the alphabet is 9/17.
d) These letters are vowels
UEAAI
There are five vowels.
The probability of pulling out a vowel is 5/17.
Which expressions result in a product that has a best estimate of 80? Select all that apply.
A. 0.82 x 112
B. 42.3 x 21
C. 1.2 x 78
D. 0.19 x 37
E. 8 x 9.62
Answers
Answer:
Step-by-step explanation:
E and B are he answers
Answer:
Step-by-step explanation:
i took it and it was a, c and e
Robert's recipe has 5 onions and 9 tomatoes for the pizza. Jeff's recipe has 8 onions and 10 tomatoes for the pizza. Whose recipe has a lower ratio of onions to tomatoes
Answers
Jeff-8/10
5 x 10
Robert-50/90
8 x 9
Jeff-72/90
Jeff has a lower ratio of onions to tomatoes
Which digit in 98.765 is in the thousandths place
Answers
5 is in the thousandths place since it is the third digit after the decimal.
Have an awesome day! :)
Which of the following is an equivalent form of the mixed number -12 3/4?
A) 45/5
B) -51/4
C) -45/4
D) -48/4
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if 2=27,what is the measure of the supplement of gbc
Answers
m<GBC = m<2 = 27
Supplementary angles have measures that add to 180 deg.
The supplement of <GBC measures 180 - 27 = 153 deg.
If it takes 6 hr. for a 2,400 mi. flight from Philadelphia to Los Angeles, what is the average speed of the plane?
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What is 45−−√ in simplest radical form?
Answers
Mike is making a nut mixture for an upcoming camping trip. He makes the mixture by combining of a cup of cashews and of a cup of almonds. If he wants to add cashews and almonds in the same ratio to make 28 cups of the mixture, how many cups of cashews and almonds will he need?