Answer:
a) x = -2/3 y = -26/3 or -8 2/3
b) x = 12 y = 5
Step-by-step explanation:
a) since both equations begin with 'y =' you can set them equal to each other
4x - 6 = x - 8
3x = -2
x = -2/3
sub x value to find y:
y = 4(-2/3) - 6
= -8/3 + (-18/3)
= -26/3
2(3x-2)=14 pls help
In the equation y=4 over 3 x +5 what is the slope and y-intercept
Answer:
Slope = [tex] \frac{4}{3} [/tex]
Y-intercept = 5
25 POINTS FOR ANYONE THAT CAN HELP ME!! Rewrite 16r^2s^2 as a power of a product.
Answer:
(4rs)^2 = 16r^2s^2
This is how I would rewrite it as a power of a product.
As a power of a product, we can write the expression as -
(4rs)².
What is exponent?Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -
[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]
where -
[b] = base of the logarithm
[x] = exponent
Given is the expression as follows -
16r²s²
We can write the expression given -
16r²s²
As a power of a product, we can write -
(4 x 4 x r x r x s x s)
(4² x r² x s²)
(4rs)²
Therefore, as a power of a product, we can write the expression as -
(4rs)².
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state the slope and y-intercept for the graph of the equation y=-3x+5state the slope and y-intercept for the graph of the equation y=-3x+5
A woman weighed 100 pounds 5 years ago. This year, the woman weighs 115 pounds. What percent increase is this?
Answer:
15 Percent
Step-by-step explanation:
i need help please... 30 points + brainliest if u answer all 5
1. f(x)=x^2−4x, find f(−3)
2. f(x)=x^2−x, find f(−10)
3. f(x)=3x+1, find f(−3)
4. f(x)=4x−2, find f(8)
5. f(x)=x^2+2, find f(0)
Velma is analyzing spending habits of the gang. She find a mean monthly discretionary expense of $70 spent on having meals out with friends. The standard deviation of the distribution is 5. Give the range of amounts within 1 standard deviation of the mean and explain what percent of friends will have be within 1 standard deviation if it is a normal distribution.
Answer:
im here for the points
Step-by-step explanation:
Part I: Writing Linear Equations
1.
Write the equation of the line that has a slope of -1/4 and contains the point
(72, -30) in Point-Slope Form. (2 pts)
2.
A). Write the equation of the line that contains the points (3, 15) and (28, -35) in
Point-Slope Form. (2 pts)
B). Convert the Point-Slope equation from part A to Slope-Intercept Form. (2 pts)
Answer:
1. y= 2/5x+11
2. y=3x-15
2y-5x=9
Step-by-step explanation:
I did this already
help please i’ll give brainliest.
ΔABC is similar to ΔFED. Answer the questions to find the length of DF .
1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.
2. Which side in ΔFED does CB in ΔABC correspond to?
Step-by-step explanation:
ΔABC is similar to ΔFED.
AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
Hence side CB corresponds to side DE.
Answer:
1. EF in ΔFED corresponds to AB in ΔABC.
2. DE in ΔFED corresponds to CB in ΔABC.
3. The length of DF is 10.
Step-by-step explanation:
Given: ΔABC is similar to ΔFED. Find the length of DF.
To Find: The length of side DF in ΔFED
Since, ΔFED is a right-angled triangle and also similar to ΔABC,
Applying similarity of triangles principle,
AB = 4 , EF = 8
BC = 3 , DE = 6
Now, applying Pythagorean theorem on ΔFED,
Hypotenuse² = Length² + Base²
⇒ DF² = DE² + EF²
⇒ DF² = 6² + 8²
⇒ DF² = 100
⇒ DF = √100
⇒ DF = 10
Final Answer: Hence the length of side DF is 10.
Can someone help me?
Answer:
y =4(x-3)^2+2 => y=4x^2-24x+38
y=2(x-3)^2+4 => y=2x^2-12x+22
y=2(x+3)^2+4 => y= 2x^2+12x+22
Y= 4(x+3)^2+2 => y= 4x^2+24x+38
Step-by-step explanation:
WRITE AN EQUATION THAT MODELS EACH STATEMENT :
John is five years more than twice as old as his sister :
Step-by-step explanation:
Take John's sister's age as "x"
So, so twice his sister's age means = 2x
And 5 years more, means = 2x + 5
So finally John's age = 2x + 5
Answer:
y=2x+5
Step-by-step explanation:
36. Write the triangle congruence criterion illustrated
by each pair of triangles.
Answer:
A - ASA
B - ASA
C - SAS
D - SSS
Step-by-step explanation:
I hope this helps you out!
Help me please I only have 5 mins left
Answer:
A.5
B.16
C.11
D.3
E.5
Step-by-step explanation:
Cathy has n CDs Gerry has 3 more than twice the number of CDs that cathy has. in terms of n, how many CD does Gerry have?
Answer:
I think this would be 2n+3
Step-by-step explanation:
I learned this in class and I think that since you Gerry has twice the number of CDs (n) + 3, it would be 2n+3. I'm in middle school though, so I don't know if in highschool there's another step, but I hope this helps! :)
The equation 4(-2u+7) is solved in several steps below. For each step, choose the reason that best justifies it. Answer choices are: addition property of equality, subtraction property of equality, multiplication prop., division prop., simplifying, and distributive property
Answer:
Find the solution belowStep-by-step explanation:
The expression is incomplete. Let say the expression is 4 (-2u + 7) = 44
Given the expression
4 (-2u + 7) = 44
Step 1: Open the bracket by distributing 4 over -2u and 7
4 (-2u + 7)= 44
4(-2u) + 4(7) = 44 (distributive property)
-8u + 28 = 44
Step 2: Subtract 28 from both sides
-8u + 28 - 28 = 44 - 28 (subtraction property of equality)
-8u = 16
Step 3: Divide both sides by -8
-8u/-8 = 16/-8 (division property)
u = -2
Answer: A
The addition property of equality and then the division property of equality
Step-by-step explanation:
just did the quiz
a carton of ice cream sold for $2.20 was on sale for 45% off. what was the original price of the ice cream?
Answer:
It was originally sold at roughly $4.887
Step-by-step explanation:
1) 2.20/.45 ≈ 4.8
2) 4.8 x .45 = 2.16
3) 4.88 x .45 = 2.196
4) 4.887 x .45 = 2.19915
The original price of the ice cream is $4.8
What is the discount price?Discounting a product means offering it at a lower price than the list price.
Given that, a carton of ice cream sold for $2.20 was on sale for 45% off.
Let the original price of the carton be x.
x*45% = 2.20
x = 2.20*100/45
x = 4.8
Hence, the original price of the ice cream is $4.8
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help hell help help gelp help
HELP ME!! I NEED SERIOUS HELP RN!
Answer:
hii, ok so (3, 2)
Step-by-step explanation:
Just imagine the dot at (3, -4). Now just go up 6 units. **i added a picture, its kinda junky, sorry**
Suppose there is a game of chance that you would like to play. It costs $3 to play one time. There are 100 $1 bills, 20 $5 bills, 3 $20 bills, and 1 $100 bill in a box. You may reach into a box without looking and select one bill. Is this a fair game? Why or why not?
Answer:
1. It is not a fair game.
2. The game is not fair because the probability of winning and the probability of losing are not equal. In a fair game, the probability of winning is equal to the probability of losing. In this game, the probability of losing is 0.81 or 81%, while the probability of winning is 19% (100 - 81).
Step-by-step explanation:
Cost of playing the game one time = $3
Total number of bills in the box = 124 (100+20+3+1)
Chance of losing is represented by 100 of $1 bills = 100/124 = 0.81 or 81%
Chances of losing are represented by 20 of $5 bills, 3 of $20 bills, and 1 $100 bill = 0.19 or 19% (20/124 + 3/124 + 1/124).
#9 Can anyone please help me, this is Pythagoras Theorem Converse.
Answer:
(D).
Step-by-step explanation:
[tex]A_{b}[/tex] = A + [tex]A_{s}[/tex]
(A). 12 + 16 > 20
(B). 10 + 18 < 30
(C). 4 + 5 < 12
(D). 8 + 16 = 24
Problem Solving
14. Eight friends divide 3 pizzas
equally. How much pizza does
each friend get?
Answer:
3/8 of a pizza
What is the solution for −40 = 10c?
A. c = 1
B. C = -1
C. c = -4
D. c = 4
Answer:
C. c = -4
Step-by-step explanation:
you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal
-40/10 = c
c = -4
When Colby was born, his parents invested $1,000 in a fund that paid an
annual interest of 8%. How old will Colby be when the investment is worth
at least $4,000?
Given :
When Colby was born, his parents invested $1,000 in a fund that paid an
annual interest of 8%.
To Find :
How old will Colby be when the investment is worth at least $4,000 .
Solution :
Let, time taken is x years.
So, the formula is :
[tex]P = A_o + \dfrac{A_o \times r\times t}{100}\\\\4000 = 1000 + \dfrac{1000\times 8\times t}{100} \\\\80t = 3000\\\\t = \dfrac{3000}{80} \ years\\\\t = 37.5\ years[/tex]
Therefore, Colby will be 37.5 years old.
The age of Colby will be [tex]37.5[/tex] years.
Simple interest :The amount after t years is given by,
[tex]A=P+(\frac{P*r*t}{100} )[/tex]
Where P is principal, r is rate and t is time in years.
Given that, [tex]A=4000,P=1000,r=8\%[/tex]
Substitute values in above equations.
[tex]4000=1000+\frac{1000*8*t}{100} \\\\\frac{1000*8*t}{100}=3000\\\\t=37.5years[/tex]
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A recent poll found that 76% of a random sample of 100 American movie goers thought the popcorn sold at the movie theatre was overpriced.
If the sample size was increased to 10,000 American movie-goers, what effect would this have on the estimated percentage of American movie-goers who
think the popcorn is overpriced?
Answer:
Step-by-step explanation:
Given that:
percentage of sample proportion = 76%
sample size = 100
Given that the sample proportion estimate is unbaised of the population proportion, then the percentage of all American movie-goers who think popcorn is overpriced is = 76%. Also, the mean of the sampling distribution appears to be independent of the sample size. Then, the estimate of the percentage will equally remain the same regardless it is even a sample of size 10000.
PLS HELP NEED ANSWER ASAP PLSSSS
Eva left her home and drove for 4.3 hours due north at a rate of 60 miles per hour. After visiting a beach, she drove due south for 3.4 hours at 55 miles per hour.
How many miles is Eva from her home?
Answer:
166
Step-by-step explanation:
4e^2x=5
X approximately = ?
Answer:
5 = 5
Explanation:
NEED HELP WITH THIS
Answer:
Step-by-step explanation:
think of this as a system of equations where the colors just represent a variable like x or y
I'll just arbitrarily set colors to some variable letter so we have
purple = x
green =y
blue =z
red = a
yellow = b
so we can now rewrite the 4 known equations of the system :)
Eq. 1) x+y = 13
Eq. 2) 2y+2z=18
Eq. 3) 2x+3y=31
Eq. 4) z + 4a = 12
Eq. 5) a * y = b
so solve the 1st eq for y => y =13-x then plug that into the 3rd eq and slove for x => 2x + 3(13-x) =31
2x + 39 -3x = 31
2x-3x = 31 - 39
-x = -8
x=8
plug 8 into Eq. 1 for x and solve for y
8+y = 13
y=5
plug y into Eq 1 and solve for z
2(5) +2z = 18
10 +2z = 18
2z = 8
z = 4
plug z into E1 4 and solve for a
4 + 4a = 12
4a = 8
a = 2
plug a and y into Eq 5 and solve b
2 * 5 = b
10=b
go to the drawing and plug in each of the color values that we put as variable letters above and get an A+ on your homework.. :)
Jasmine sold half of her Barbie doll Collection
and then bought 9 dolls. She now has 13 dolls.
Barbie dolls did she begin with?
How many
plz help me........................................................
Answer:
Please check the explanation.
Step-by-step explanation:
Question 1)
Input, x Output, y
0 0
1 4
2 8
3 12
It is clear that the values of input 'x' and output 'y' are changing in constant proportions. It means the rate of change must be constant. Thus, this represents a linear function.
Finding the slope between (0, 0) and (1, 2)
slope = m = y₂-y₁ / x₂-x₁
= (2-0) / (1-0)
= 2 / 1
= 2
Thus, the slope = m = 2
We know that the y-intercept can be obtained by setting x = 0 and solving for y.
It is clear at x = 0, y = 0
Thus, the y-intercept b = 0
We know that the slope-intercept form of linear equation
y = mx+b
substitute m = 2 and b = 0
y = 2x + 0
y = 2x
Thus, the equation that describes the equation is:
y = 2x
Question 2)
The output is eleven more than the input.
As 'y' represents the output.
'x' represents the input.
so
y = x+11
Question 3)
The output is the cube of the input.
As 'y' represents the output.
'x' represents the input.
so
y = x³
Question 4)
The output is one more than twice the input.
As 'y' represents the output.
'x' represents the input.
so
y = 2x+1
Question 5)
y = 7x
substitute x = -5
y = 7(-5)
y = -35
Your receipt for your visit at a restaurant is
shown below. If you leave a 15% tip, what is the
new total amount? Explain your method.
pls hurry
Answer:
36.66
Step-by-step explanation:
Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.
Answer:
36.66
Step-by-step explanation:
Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.