slope intercept:
y=3/4x-7
point slope form:
I used the y intercept (0,-7) as a point to plug into point slope form.
y+7=3/4(x-0)
The linear equation of the line is y = 3/4x - 7 and y + 7 = 3/4(x - 0)
How to determine the line equation?The slope is given as:
m = 3/4
The y-intercept is given as:
c = -7
A linear equation in slope intercept form is represented as:
y = mx + c
So, we have:
y = 3/4x - 7
The equation in point slope form is calculated as follows:
y = 3/4x - 7
Add 7 to both sides
y + 7 = 3/4x
Express 3/4x as 3/4(x)
y + 7 = 3/4(x)
Subtract 0 from x
y + 7 = 3/4(x - 0)
Hence, the linear equation of the line is y = 3/4x - 7 and y + 7 = 3/4(x - 0)
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grandpa has some cows and ducks in his farm. all in all there are 8 heads and 26 legs, how many cows and ducks are in there? solve this using factoring, finding multiples and divisibility rules
Answer:
5 cows and 3 ducks
okay well there are 8 heads and each animal has a head meaning that there are a total of 8 organisms in total. Cows have 4 legs and ducks have 2. Lets say that c is cows and d is ducks. You would have the equations ...
c+d=8
4c+2d=26
well d techniacally = 8-c, so plug in (8-c) for the value of d
4c+2(8-c)=26. Distribute to get
4c+16-2c
and then add like terms. Soy ou would get
2c+16=26.
then just isolate the variable but subtracting 16 from both sides and dividing 2 on both sides. The answer you would get is that c=5 so there are 5 cows. Plug in 5 for c so you get 5+d=8 and tadaaaa you subtract 5 from both sides to get that there are 3 ducks.
hope this helps :)
Jake goes to the vampire School every 4 days and Werewolf School every 6 days. If he goes to both on October 3rd, on what date will he go to both again?
Answer:
October 15
Step-by-step explanation:
The LCM of 4 and 6 is 12. 12 days later is october 15.
Rewrite 10 7/8 as an improper fraction. I need help:)
Answer:87/8
Step-by-step explanation:cause i smart :D
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solve for x
x/3 = 5/8
Answer:
x = 15/8
Step-by-step explanation:
x/3 = 5/8
Using cross products
8x = 3*5
8x = 15
Divide each side by 8
8x/8 = 15/8
x = 15/8
X= 1 7/8
Step-by-step explanation:
prove cosec 2x + cot 2x = cot x
csc(2x) + cot(2x) = 1 / sin(2x) + cos(2x) / sin(2x)
csc(2x) + cot(2x) = (1 + cos(2x)) / sin(2x)
csc(2x) + cot(2x) = (1 + cos(2x)) / (2 sin(x) cos(x))
csc(2x) + cot(2x) = cos²(x) / (sin(x) cos(x))
csc(2x) + cot(2x) = cos(x) / sin(x)
csc(2x) + cot(2x) = cot(x)
Which of the following results in the expression 0.22 ⋅ 86?
22 of 86%
22% of 86
86% of 0.22
0.86 of 22%
I need help plows pleasee!!
Find a pattern, then select the next two terms of the sequence.
5, 1, 7, 0, 9, –1, 11, . . .
Answer:
-2 and 13
Step-by-step explanation:
the pattern here is annoying to find, but there is one. the first change is -4, then +6, then -7, then +9. The pattern starts at -4, then after that it increases by 2 and changes from a negative to a positive (and can change the other way). After that change it increases by one and changes from a positive to a negative. Essiently, the pattern is add 2 to the pattern and change the sign, then add 1 to the pattern after that and change the sign, infinitely repeating, with the two after 11 being -2 (gotten from +12 because you add 2 to -10 and change the sign) and 13 (gotten from -13 because you add 1 and change the sign of +12).
PLS SOLVE!! n+5 / -16 = -1
Answer:
The answer is n = 11.
Step-by-step explanation:
Answer:
n = 11Step-by-step explanation:
n + 5 = -1
-16
n + 5 = -1 (-16)
n = 16 - 5
n = 11
Find the range of the data in the box plot below.
Magnitude of earthquakes
0 1 2 3 4 5
6 7 8 9 10
What is the range?
The range of the given magnitude is 10.
What is Range?The range is the difference between the largest value and the smallest value, is the simplest measure of variability in the data. The range is determined by only the two extreme data values.
Here, given data;
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Range = Upper limit - Lower limit
= 10 - 0
= 10
Thus, the range of the given magnitude is 10.
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Solve w - 4b = 1 for w
A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 11 members and any member can be elected to each position? No person can hold more than one
office
11 members and we have to pick three without replacement.
[tex]_{11} C_{3}[/tex] = 165
There are 165 possible sets of officers
Evquivilent Ratio for 23:37
Answer:
46:74
Step-by-step explanation:
rosa puts 2/3 cup of vegetables mixture in 1 tortilla. she has 8 cups of vegetable mixture.
Answer:
She need to divide 24 by 2 to get 12. She can fill 12 tortillas
Step-by-step explanation:
) How many digits are in the number 13,692,540?
Write the number in two other forms.
0.489
Answer:
48.9%, and 489/1000
Step-by-step explanation:
It is currently written as a decimal. To convert to a percent, simply move the decimal place over to the right by 2 places. For the fraction, calculate the place value of the last digit, which in this case, is the thousandths. So, the fraction would be 489/1000
Give five elements of the following sets.
A = {different land forms}
B = {x/x is a prime number greater than 20 but less than 50}
C = {even number less than 20}
D = {fraction less than 1}
E = {noun that starts with letter "a"}
Answer:
Find the answer below.
Step-by-step explanation:
1. A = {mountain, valley, plateau, plains and hills}
A landform refers to a geomorphic or natural feature of the Earth's surface, which typically makes its terrain.2. B = {23, 29, 31, 37 and 41}
A prime number can be defined as any number that is greater than one (1) and can only be divided by itself or one (1). In this case, they are greater than 20 but less than 50.3. C = {2, 4, 8, 10 and 12}
An even number can be defined as any number that can be divided by two (2) without any remainder. In this instance, they should be between one (1) and twenty (20).4. D = {2/3, 1/2, 3/4, and 1/5}
A fraction that is less than one (1) refers to a proper fraction. Therefore, proper fractions must have the value of their numerator to be less than the value of their denominator.5. E = {ant, angel, angle, anaconda, and ark}
A noun can be defined as the name of any place, people, animal or things. In this context, the nouns should all start with the letter "a."Divide 1/4÷2/3 and express the answer in the simplest terms. If necessary, use / for the fraction bar.
1/4 ÷ 2/3 =
Answer:
3/8
Step-by-step explanation:
find the Least Common Denominator, change the numerators as needed, divide, then simplify.
Answer:
the answer is 3/8
Step-by-step explanation:
brainiest rate 5 stars and thank mee : )
Solve please? Thanks :)
Answer:
Step-by-step explanation:
lol this was really funny
scientific notions have to be less than 10 and more than 1
1. 68600 / 10000 = 6.86
A. 6.86 x 10^4
2. 0.082 x 100 = 8.2
C. 8.2 x 10^-2
3. 0.068 x 100 = 6.8
D. 6.8 x 10^-2
4. 0.93 x 10 = 9.3
C. 9.3 x 10^-1
5. 0.000923 x 10000 = 9.23
D. 9.23 x 10^-5
Which of the following is a term?
A: 17y + 11
B: 6p
C: 7x / 2
D: 1 + 1
Answer:
B
Step-by-step explanation:
Which system of equations is equivalent to the following system?
4x + y = 4
2x + 7y = 28
Answer:
the third one
-28x-7y=-28
2x+7y=28
Step-by-step explanation:
for the first one, the 2x+7y=28 is being multiplied by -1, but its not being distributed correctly (28 is incorrect, it should be -28)
for the second one, the 2x+7y=28 is being multiplied by -4, but again, is not being distributed correctly (112 is incorrect, it should be -112)
for the fourth one, 4x+y=4 is being multiplied by -2, but its not being distributed correctly (8 is incorrect, it should be -8)
The system of equations equivalent to the given system is -28x -7y = -28, 2x + 7y = 28, the correct option is C.
What is System of Equation?The system of equation is set of equations which have a common solution.
The system of equation is,
4x +y = 4
2x +7y =28
The equations can be solved using Substitution method, elimination method and by plotting the graph.
In substitution method, the value of one variable from an equation is substituted in the other equation.
4x +y = 4
y = 4 - 4x
This will be substituted in the equation 2
2x + 7 (4-4x) = 28
2x +28 - 28x = 28
-26x = 0
x = 0
Putting this value in equation 1 , y = 4.
In elimination method, one of the variable is eliminated to solve the system of equation.
To eliminate y, the equation 1 will be multiplied by -7,
-28x -7y = -28
2x + 7y = 28
This is equivalent to the original system of equation.
Adding the equations will yield
-26x = 0
x = 0
y = 4.
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Which of the following expressions are equivalent to -x/y
Answer:
-z/e
Step-by-step explanation:
-x/y = -z/e
I did this one slot of times but I never get it
Answer:
A: [tex]x^{2} \leq 16[/tex]
A is a solution set of the inequality.
This means:
[tex]x^{2} \leq 4[/tex]
∩ (AND)
[tex]x^{2} \geq -4[/tex]
Which can also be written as:
Interval notation: x ∈ [-4, 4]
Set notation: {x | [tex]-4 \leq x \leq 4[/tex] }
Suppose 27 gallons of water came out of a pipe in 9 minutes.what was the rate in gallons per minute
Answer:
Rate = 56 gal / 7 min
= 8 gal / min
Step-by-step explanation:
Hope this helps pls leave a heart c:
choose the expression that completes the equation 33 / 3 + 10=_______
1. 2(10+1)
2. 10(1+1)
3. 3(6+1)
4 5(3+5)
Answer:
the answer is number 3. 3 ( 6+1 )
Brian has a huge barn, 32 chickens, 12 pigs, 8 horses, 6 cows, 16 ducks, and 10
goat
Answer:
what's the question
Step-by-step explanation:
Answer: So he has 84 animals was there a question to this or is Brian flexing his barn?
Step-by-step explanation:
Type your response in the box.
Janet and Patrick are buying stuffed frogs each month to give to a charity. Pattern 1 describes Janet's collection over
the first three months. Pattern 2 describes Patrick's collection. Study both patterns, and fill in the table based on
your observations.
Step-by-step explanation:
Pattern 1 :
Arithmetic Sequence
Common term = 4
Pattern 2 :
Geometric Sequence
Common ratio = 2
Answer:
pattern 1 arithmetic The common difference is 4. The pattern starts at 3 and always adds 4 to get to the next term.
pattern 2 geometric The common ratio is 2. The pattern starts at 3 and always multiplies by 2 to get to the next term.
Step-by-step explanation:
A baker has 3/4 pound of sugar left in his pantry he needs 1/8 of a pound for each batch of cookies ha make what is the greatest number of batches of cookies the baker can make with the 3/4 pound of sugar
Answer: 6
Step-by-step explanation:
If you convert 3/4 into eighths then it would be 6/8's so the baker can make 6 batches.
When do we use = and when do we use ~
=
HELPP!!
if f(x)= 5x - 12 what is f(-4)
Answer:
-32
Step-by-step explanation
f(-4)= 5(-4) - 12
f(-4)= -20 -12
f(-4)= -32
Robert earned $10, which was 4 less than twice what Eric earned. How much money
did Eric earn?
Answer:
uh
Step-by-step explanation:
gygygyg