Answer:
y = [tex]\frac{3}{5}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x + 3y = 15 ( subtract 5x from both sides )
3y = - 5x + 15 ( divide all terms by 3 )
y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form
with slope m = - [tex]\frac{5}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus
y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, 1) into the partial equation
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line
Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.
The equation of the line is; 3x - 5y = 10.
By comparison with the equation of a straight line: y = Mx + c
The equation 5x+3y=15 can be rewritten as ;
y = (-5/3)x + 5
Therefore, the slope of the equation is; (-5/3)
The product of the slope of two perpendicular lines is: -1.
therefore m1m2 = -1
Therefore; M2 = -1/(-5/3)
Therefore M2 = 3/5
The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;
3/5 = (y - 1)/(x - 5)
By Cross product;
3x - 15 = 5y -5
Therefore, the equation of the line is;
3x - 5y = 10.
Read more:
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Write the equation g(x) of the transformation of the parent graph f(x) = |x| translated right 5 units.
Answer:
g(x) = |x-5|
Step-by-step explanation:
f(x) = |x|
y = f(x + C) C < 0 moves it right
g(x) = |x-5| moves it to the right 5 units
We start off with: f(x) = |x|
c < 0 means move right
y = f(x + c)
Move 5 units to the right
After: g(x) = |x - 5|
Best of Luck!
Aaron puts $1,000 in an account that pays 10% interest compounded quarterly. He leaves it in the account for six months. Estimate how much interest he earns.
Answer: $50.63 --- Interest
Step-by-step explanation:
Step 1
Using the formulae
A = P(1 + r/n)^nt
Where
A = principal + interest Amount
P = Principal Amount = $1000
t = Time in years= 6months = 0.5 years
n = number of compounding periods= quarterly =4
Step 2
6 months = 6/12 = 0.5 years
Rate = 10 % = 0.1
A = P(1 + r/n)^nt
= 1000 ( 1 + 0.1/4)^(4 x 0.5)
=1000(1 +0.025)^2
= 1000(1.025)^2
= 1000 x 1.050625
A= $1,050.625
but A = principal + interest Amount
Interest = A- Principal=$1,050.625-$1,000
=$50.625
Least to greatest PLEASE IM STRUGGLING AS IS WITH THE COMPUTER
Answer
Least to Greatest order by options: 3, 2, 4, 1
Step-by-step explanation:
Option 3 is 1/2 therefor its 0.5
Option 2 is 4.4
Option 4 is 10
Option 1 is 13.14
And that's put in least to greatest order.
Which charts or graphs always use axes both labeled with quantitative values and show individual points of data, meaning that each point matches with one value on the x-axis and one value on the y-axis? Check all that apply.
histograms
scatterplots
line graphs
pie graphs
bar graphs
frequency distributions
The correct choices would be scatter plots, line graphs, bar graphs option second, third, and fifth are correct.
What is scatter plot?Scatter plots are graphs that represent individual points of data and are labeled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.
We have:
The chart or graph always use axes both labeled with quantitative values and show individual points of data.
Each point matches with one value on the x-axis and one value on the y-axis.
The chart or graph would be scatter plots, line graphs, bar graphs.
Thus, the correct choices would be scatter plots, line graphs, bar graphs.
Learn more about the scatter plot here:
https://brainly.com/question/13984412
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Answer:I belive it is b and c
Step-by-step explanation:
Help me PLEASE thank you
Answer:
top question is the 4th choice.
Step-by-step explanation:
What does 8-2(y+4)=1/2(8y-12) equal?
y = 1
8-2y - 8 = 4y - 6
-2y = 4y - 6
-6y = -6
y = 1
Answer:
Step-by-step explanation:
8 - 2y - 8 = 4y - 6
-2y = 4y - 6
6y = -6
y = -1
If ST=SV=90, TU=7x, and UV=x+84, what is the value of x?
Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)? Subtract 7 from –5. Multiply 8 and 3. Divide 7 by 2. Add 6 and –5. can yall pls hurry i need this right now
subtract 7 from -5
Step-by-step explanation:
Answer:
Subtract 7 from –5.Step-by-step explanation:
I just took the test and it said that Subtract 7 from –5 was right
Sally is having a party and she has invited nine of her friends.
She is going to make a special non-alcoholic fruit punch for them all
to drink. Sally wants to make enough fruit punch for herself
and all her friends to have one glass each.
Sallys Fruit Punch Recipe.
The recipe below makes enough
fruit punch for 1 person.
1/2 lime
1/2 lemon
100ml pineapple juice 200ml lemonade 100ml orange juice
1) How much of each ingredient will she need?
Limes
Lemons Pineapple juice Lemonade Orange juice
Cost of ingredients:
Pineapple Juice
Lemons 50 each
Limes 40c each
Lemonade (2 liter bottle) $1.60
Orange juice (1 liter carton) 80c
Pineapoe juice (1 liter carton) 90c
Answer:
1) 5 limes, 5 lemons, 1,000 mL of pineapple juice, 2,000 mL of lemonade, 1,000 of orange juice
2) Limes = $2, Lemons = $2.5, Lemonade = $1.60, Orange Juice = 80c, Pineapple Juice = 90c
Step-by-step explanation:
1/2 limes · 10 = 5
1/2 lemons · 10 = 5
100 mL of pineapple juice · 10 = 1,000 mL
200 mL of lemonade · 10 = 2,000 mL
100 mL of orange juice · 10 = 1,000 mL
Cost:
5 limes · 0.4 = $2
5 lemons · 0.5 = $2.5
mL to L
1,000 mL of pineapple juice = 1 L, this costs 90¢
2,000 mL of lemonade = 2 L, this costs $1.60
1,000 mL of orange juice = 1 L, this costs 80¢
Overall:
5 limes for $2
5 lemons for $2.5
1 L of of pineapple juice for 90¢
2 L of lemonade for $1.60
1 L of orange juice for 80¢
A used car is for sale for $8,950. If Jenny will pay for the car over a 5 year period, what will be her monthly payment, to the nearest dollar?
3,729/month
1,790/month
149/month
60/month
Answer:
your answer will be 149/month
Step-by-step explanation:
you wanna ask urself how many months are in 5 years
The answer is: 60 months
then, you wanna divide the cost of the car over 60 months
So:
[tex]$8950/60=149.166[/tex]
round that to the nearest dollar AKA the ones
it'll be 149
and don't forget the unit of time
which is month
$149/month
(0.4y - 3)/(1.5y + 9) = -7/5
Please help
What is the equation?
-A parabola that is vertically stretched by a factor of 2 sitting with its vertex on the x axis at x=-3
Answer:
f(x) = 2(x + 3)²
Step-by-step explanation:
Parent Graph: f(x) = a(bx - h)² + k
a is vertical shrink/stretch
b is horizontal shrink/stretch
h is horizontal movement left/right
k is vertical movement up/down
h, k is vertex
Step 1: Define variables
h = -3
k = 0
a = 2
Step 2: Write quadratic
f(x) = 2(x + 3)²
What is the square root of 586
Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.
The parabola opens downwards since a=____ and this value is _____ 0.
The choices for the second blank question are:
-less than
-greater than
-equal to
g(x) = -(x + 1)^2 - 3
Let's simplify this equation
g(x) = -(x^2 + 2x + 1) - 3
Distribute the negative sign
g(x) = -x^2 - 2x + 1 - 3
Combine like terms
g(x) = -x^2 - 2x - 2
The value of a = -2 and this value is LESS THAN 0
Which of the following is not a number set that contains the number 0? A. rational numbers B. irrational numbers C. whole numbers D. integers
Answer:
irrational numbers
Step-by-step explanation:
irrational numbers is the correct and right answer
Mark's computer has 24 GB of total storage space. A gigabyte (GB) of computer storage space is 230 bytes. How many bytes of total storage space does the computer have? Express the total number of bytes in exponential form.
Answer:
240gb
Step-by-step explanation:
What’s 12 away from -6 on a number line?
Answer:
-18
Step-by-step explanation:
you add 12 and six together and you get 18. Then you put a negative sign in front of it
f(x) = x^2 x+1
g(x)= 2x-5
find f(x)-g(x)
Answer:
Step-by-step explanation:
x^2 + x + 1 - 2x + 5
x^2 - x + 6
i need to know the answer as soon as possible.
0.35p
Because the price also indicates percentage
Answer:
p - 0.35, so C.
It's not A because that's the regular price times the percentage off.
What is the simplified answer?
512x³, I think, because 2x cubed (2x³) is 8x, and 8x cubed again ([8x]³) is 512x³.
Hope I helped!!!
TI
B
A
В.
A
a. Description of Transformation:
b. Equation for pre-image:
c. Equation for image:
(ANSWER FOR POINTS AND BRAINLEST!!!) Identify the scale factor in the image below.
1.) 2
2.) 1/2
3.) 3/2
4.) 2/3
Answer:
it should be 3/2 !
What is 3.142 rounded to the nearest hundredth?
Answer:
3.140
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
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3/4+(1/3÷1/6)-(-1/2)=? Please I need this quick!!!
Answer:
3 and 1/4
Step-by-step explanation:
9(18) using disributive property.
Answer:
162
Step-by-step explanation:
9 * 18 = 162
Answer:
162
Step-by-step explanation:
Expand each expressions and combine like terms if possible
-12(5/6x - 5) + 2x
Answer:
The answer is
60 - 8xStep-by-step explanation:
[tex] - 12( \frac{5}{6} x - 5) + 2x[/tex]
Using FOIL multiply the terms in the bracket
That's
[tex] - 12( \frac{5}{6} x) + 12(5) + 2x \\ \rarr \: \: - 10x + 60 + 2x[/tex]
Group like terms
That's
[tex]60 + 2x - 10x[/tex]
We have the final answer as
60 - 8xHope this helps you
Just about adding or subtracting same signs, dont understand what exactly those 2 words are supposed to be...
reflect point R(6,10 ) over the y-axis. The coordinates for R' are
Answer: (6,-10)
Step-by-step explanation:
When you reflect a point over the y-axis, the sign of the number changes. It goes from negative to positive and positive to negative. Since both our numbers are positive, only the y-coordinate become negative because it is only being reflected over the y-axis, not x-axis. (6,-10)
simplify 9x+4(x+2)-5
Answer:
13x + 3
Step-by-step explanation:
9x + 4x + 8 -5
13x + 3
Just multiply (x + 2) by 4
and add simply.
I hope now you got it.
plz help.will give brainliest
Answer:
x+2 x+2 x+2
Step-by-step explanation: