Answer:
Step-by-step explanation:
y=mx+c.... first find m(gradient/slope)
m=Y2-Y1/X2-X1
m=8-4/-6-2
m=4/-8
m=-1/2
Then find c
Take any point and fix in x and y
4=-1/2(2) +c
4=-1 +c
c=4+1=5
Therefore y=-1/2x+5
y+1/2x-5=0
HELP PLZ GUYS I BEG YOU 15 PTS ITS EASYYYYYYY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jennifer received many pieces of candy for Halloween. She decided to limit herself to only eating 4 pieces every day. On the 14th day after this decision, she had 67 pieces of candy left.
1) Write a linear equation in point-slope form based on the situation above.
2) Define each of your variables based on your equation above.
3) Determine how many pieces of candy Jennifer received on Halloween.
Answer:
1) The linear equation in point and slope form is y - 67 = -4 × (x - 14)
2) The variables are;
a) The number of candies available = y
b) The number of days Jennifer eats the candies =
c) The slope, m = -4
3) Jennifer received 123 pieces of candies on Halloween
Step-by-step explanation:
The given parameters are;
The number of candies Jennifer eats everyday = 4 pieces
The number of days for which Jennifer eats the daily 4 candies = 14
The number of candies left at the end of the 14th day = 67 candies
1) We note that the rate of decrease in the number of candies = 4 candies/day
Therefore, the slope of the linear equation is m = -4
The y-intercept = The initial amount of candies Jennifer has = c = 67 + 14× 4 = 123 candies
The linear equation in point and slope form is given as follows;
y - 67 = -4 × (x - 14)
2) The variables are;
a) The y-value represents the number of candies available on a specific day
b) The x value represents the number of days Jennifer eats the candies'
c) The slope = The rate of decrease in the number of candies per day = -4
3) The number of candies Jennifer receives on Halloween is given by the y-intercept of the straight line equation as follows;
y - 67 = -4 × (x - 14)
y - 67 = -4·x + 56
y = -4·x + 56 + 67 = -4·x + 123
y = -4·x + 123
Comparing the above equation, with the general form of the straight line equation, y = m·x + c, where, the constant term, c = The y-intercept, we have;
The y-intercept of the equation y = -4·x + 123 = 123 = The initial amount of candies Jennifer received on Halloween.
solve the system of equations 8x+2y=6
y= -4x+3
Write the product(2+7i)(2-7i) in the form a+bi
Answer:
53
Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
(2 + 7i)(2 - 7i)
(2 * 2) + (2 * -7i) + (7i * 2) + (7i * -7i)
4 + -14i + 14i + [tex]-49i^{2}[/tex]
4 + [tex]-49i^{2}[/tex] ([tex]i^{2}[/tex] = -1)
4 + (-49 * -1)
4 + 49
53.
53 is the result.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.
What is an imaginary number?An imaginary number is denoted by i.
The value of i is √-1.
i² = √-1² = -1
We have,
(2 + 7i) (2 - 7i)
We need to write in the form of a + bi.
a + bi
a = real number
b = imaginary part
(2 + 7i) (2 - 7i)
Remove the brackets.
= 2 x (2 - 7i) + 7i x (2 - 7i)
= 4 - 14i + 14i - 49i²
= 4 - 14i + 14i - 49 x -1
= 4 - 14i + 14i + 49
= 4 + 49
= 53
We have only the real part.
So,
The product of (2 + 7i) (2 - 7i) is 53 + 0i.
Thus,
The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.
Learn more about imaginary numbers here:
https://brainly.com/question/6748860
#SPJ5
show any calculations, including 180 degrees, go step by step pls.
Answer:
120°, 120°, 60°, 60°
Step-by-step explanation:
m∠1 = 180° - 60° = 120°
m∠1 = m ∠2 (alternate interior)
m∠3 = 60° (vertical to given angle)
m∠4 = m∠3 (alternate exterior)
True or false density is mass overv weight
Answer:
true
Step-by-step explanation:
lel I do not process
3(x + 5) this question must be at least 20 characters long so yeah
Answer: 3x + 15
Step-by-step explanation:
Distribute the 3 to each of the values within the paranthesis:
3 * x = 3x and 3 * 5 = 15
Combine and the solution is 3x + 15
negative 3 times negative x equals?
Answer: 3x
Step-by-step explanation:
Christina biked 36 miles in 6 hours. If she biked at a constant speed, how many miles did she ride in one hour?
Answer:
6
Step-by-step explanation:
because you divided the amount of mile by the amount of time it took to get your answer
Which of the following represents a "rule of thumb" for how much
student loan debt you should be willing to incur to pay for college?
Answer:
Rule of thumb is;
Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.
Step-by-step explanation:
When calculating the loan a college student can afford, a rule of thumb comes in very handy which is that:
Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.
This is because If your total student loan debt is less than your proposed annual income, it means all things being equal, you would be able to pay back the loan in about 10 years or less. However, if the loan debt exceeds your proposed income, it means you are likely to going to struggle and find it very difficult to repay your loan.
Divide. Reduce the answer to lowest terms.
1/5 ÷ 3/4
Answer:
4/15
Step-by-step explanation:
1/5÷3/4 is the same as 1/5•4/3 by using same, change, reciprocal.1/5•4/3=4/15.4/15 cannot be simplified any more so the answer is 4/15.Answer:
4/15 Is the answer
Step-by-step explanation:
a positive number multiplied by a negative number equal a positive number. True or False
Answer: False
Step-by-step explanation:
Example 3 times -3= -9
Answer: False
Step-by-step explanation:
Positive * Positive = Positive
Negative * Positive = Negative
Negative * Negative = Positive
What is the ratio 15 to 35 written as a fraction in lowest terms? 13 37 35 57
Answer:
Step-by-step explanation:
15:35 should be 3/7
what is Carol’s total hours worked? And what is Carol’s total gross income
Answer:
1.230 hours
2.$4,045
Step-by-step explanation:
1.40+40+40+40=160 for full time job
20+10+15+25=70for part time job
add =230 hours
2.160*18.15=2,960 for full time job
70*15.5=1,085 for part time job
add = $4,045
What would this be ?
Answer:
-8,1 mabey I don't really know
idk how to do this! Pls help me! I need to hurry!
Answer:
Step-by-step explanation:
1/5 - 3/4
im giving 95 points for this so plz give me right answer
which equation represents the relationship between x values and y values in the table
y=4x+6
y=2x+4
y=x+4
2x+12
x y
0 4
2 16
4 28
6 40
10 64
25 POINTS!! State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
Full-time worker minimum monthly income = US$ 7,846.40
Part-time worker minimum monthly income = US$ 7,846.40
Full-time worker hourly wage = US$ 49.04
Part-time worker hourly wage = US$ 98.08
Step-by-step explanation:
1. Let's review the information given to answer the question correctly:
Monthly costs of a 2-adult and 3-children family in the Modesto metro area = US$ 7,846
Full-time worker = 4 weeks of 40-hour per month
Part-time worker = 2 weeks of 40-hour per month
2. Let's calculate the minimum monthly income and hourly wage per worker
Full-time worker hourly wage = Monthly costs/160
Part-time worker hourly wage = Monthly costs/80
Full-time worker hourly wage = 7,846/160
Part-time worker hourly wage = 7,846/80
Full-time worker hourly wage = US$ 49.04
Part-time worker hourly wage = US$ 98.08
Full-time worker minimum monthly income = Hourly wage * 160
Part-time worker minimum monthly income = Hourly wage * 80
Full-time worker minimum monthly income = US$ 7,846.40
Part-time worker minimum monthly income = US$ 7,846.40
which is incorrect rounding for 53.864?
Please help me!
Answer:
52
Step-by-step explanation: This would be incorrect because 53.864 must round up.
Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
Answer:
A: 6 + 2(x + 4) = 1/2(3 - x)
I need help please )):
The Observatory charges a $100 trip fee, plus $6.50 per student. Identify the rate of change.
Answer:
i deepends on how many students but if you have 5 kids then its 100$ plus 6.50 each kid
Step-by-step explanation:
Answer: Maybe I agree with the student, deepends on how many students but if you have 5 kids then its 100$ plus 6.50 each kid.
Step-by-step explanation:
Jennifer earns $7.60 per hour working after school. She wants to buy a musical instrument and she needs at least $500. Write an inequality that describes how many hours she must work to buy the instrument.
Answer: 7.60x ≥ 500, where x represents the numbers of hours worked.
Step-by-step explanation:
(4x + 13x2 +27x+6) = (4x + 1)
Answer:
x=-5/53
Step-by-step explanation:
1. Add similar elements: 4x+27x=31x
2. Multiply 13 times 2 to get 26
3. Once again add the similar elements: 31x+26x=57x
4. Expand!!: Originally (4x+1) take away the Parentheses!!
5. 57x+6=4x+1
6. Subtract 6 from both sides: 57x+6-6=4x+1-6
7. Simplify: 57x=4x-5
8. Subtract 4x from both sides: 57x-4x=4x-5-4x
9. Simplify: 53x=-5
10. Divide both sides by 53: 53x/53= -5/53
11. x= -5/53
Find the equation of the line that
- is perpendicular to the line y=3x-1
and
-passes through the point (7,4)
Answer:
y = -1/3x + 19/3
Step-by-step explanation:
let the equation of the line be y = mx + b
since it is perpendicular to y = 3x - 1, these two lines's gradient when producted gives -1.
hence, 3 x m = -1
m = -1/3
sub m = -1/3 and (7, 4):
4 = -1/3(7) + b
b = 19/3
therefore, equation of the line is y = -1/3x + 19/3
Topic: coordinate geometry
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
I just need to know the answers for number 3. I don’t understand how to do it. Thank u sm!
Answer:
Step-by-step explanation:
The ratio of boys to girls in a class is 4:3. There are 35 students in the class. How many students are boys?
Answer: 20 boys
Step-by-step explanation:
4+3 = 7 total parts
let x be one part
7x=35
x=5
4x=20
What is the value of 6(g+2)h when g = 6 and h = 4?
Answer:
6(6+2)4
6×8×4 = 192
Answer is 192
Answer:
12
Step-by-step explanation:
6(g+2)h=6(6+2)4=6(8)4=484=12
Calculate surface area of a sphere with a radius of 13.
Answer:
2123.72
Step-by-step explanation:
A=4πr2=4·π·132≈2123.71663
Answer:
2120 (rounded off to 3 s.f.)
Formula:
Surface area of sphere = 4×pi×r²
Step-by-step explanation:
Apply the formula with the radius as 13:
4×pi×13² = 4×pi×169
= 676pi
= 2120 (rounded off to 3 s.f.)
Let f (x) = 8x^2 + 4 and g(x) = -x^2+ 12x + 10. Which statements below are true for f (x) · g(x)? Select all that apply.
The constant term is 40.
The leading term is 8x^4.
The x term has a coefficient of 12.
The x^2 term has a coefficient of -76.
The x^3 term has a coefficient of 96.
The resulting polynomial has degree 4.
LCM: 16r⁴+36r²s²+81s⁴,8r³–27s³,8r²–22rs+15s²