Answer:
The equation of the line is
y-2 = 2/3(x-6)
Step-by-step explanation:
The standard form of the straight line equation is;
y = mx + b
where m is slope
so ;
3y = 2x + 9
y = 2x/3 + 3
If two lines are parallel, then their slopes are equal
This mean that the slope of the line of the new equation is 2/3 too
Thus;
(y-2) = 2/3(x - 6)
3(y-2)= 2(x-6)
3y - 6 = 2x - 12
3y = 2x -12 + 6
3y = 2x - 6
a laptop has a listed price of $595.99 before tax. If the sales tax rate is 6.75%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary. PLS HELP
Charis invested
$
140
$140. She earned a simple interest of
3
%
3% per year on the initial investment. If no money was added or removed from the investment, what was the amount of interest Charis received at the end of two years?
Answer:
$8.53
Step-by-step explanation:
because after 2 years she would have $148.53.
I believe the answer is $4.20
The number of people who have heard a rumor often grows exponentially. Consider a rumor that starts with 3 people and where the number of people who have heard it doubles each day. How many people would know the rumor after 20 days?
Answer:
3.9125 × 10⁵² people
Step-by-step explanation:
A rumor starts with 3 people and the number of people who heard it doubles each day.
How many people would have heard the rumor after 20 days?
To calculate exponential growth, we use the formula:
[tex]y (t) = ae^{kt}[/tex]
where;
a = value at the start =3
k = growth rate = 2×3 = 6
t = time = 20 days
y(t) = value of the population at the given time (t) =??
[tex]y(t) = 3 \times e^{6\times 20}[/tex]
y(t) = 3.9125 × 10⁵² people
-3 x 2 x a + 5(-7b) + (12 x c x 4) in standard form?
-3ax3+48cx2+35b
Step-by-step explanation:
hope this helps
Translate 7 units to the right and 4 units up.
Then, rotate 180° about the origin.
Answer:
Add 7 to the first value, 4 to the second, then flip the signs.
Step-by-step explanation:
Well we kind of need the current coordinates but I'll help to the extent I can!
In an ordered pair the first value is the (x) and the second is the (y) .
(x, y)
(x) is always the horizontal line (left & right).
(y) is always the vertical line (up & down).
So if you translate 7 units to the right, you'd add 7 to the (x) [First value in the ordered pair].
If you translate 4 units up, you'd add 4 to the (y) [Second value in ordered pair].
Now, rotating about the origin only changes whether the number is positive or negative.
If you rotate 180° it will just flip both of the values signs.
So if it was positive it becomes negative, if it was negative it becomes positive
Since I don't have the ordered pair I can't give you an answer but I can tell you what to do to get the answer.
Assuming it's a shape, for each point on the shape you will take it's coordinates, add 7 to the (x) and 4 to the (y), then flip the value sign.
Ex: If the starting coordinate was (-6, -3) we would add 7 to the (x), 4 to the (y) and get (-2, 4), flip the signs and end up with (2, -4).
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Tessa takes her friends out to lunch and the total cost of the meal is $120.30. Tessa left a 20% tip for the waitress. How much money did Tessa give to the waitress as a tip
Answer:
$24.06
Step-by-step explanation:
20%(120.30) = 0.2*120.3 = $24.06
The sum of Rayson and his brother’s age is 29. If Rayson is 4 years older than his brother 7 years ago. How old is Rayson and his brother?
Answer:
16 years, 13 years
Step-by-step explanation:
Let their ages be x, 29-x
Equation formed:-
(x - 7) + 4 = 29 - x
→ 2x = 29 + 3
→ x = 16 years
Answer: 16 years, 13 years
Elena began to solve this equation:
12x + 6(4x + 3) =2(6x + 4) – 2
----------------------
3
12x + 6(4x + 3) = 3(2(6x + 4) - 2)
12x + 6(4x + 3) = 6(6x+ 4) – 6
12x + 24x + 18 = 36x + 24 - 6
When she got to the last line she stopped and said the equation is true for all values of x. How could Elena tell?
Answer:
They have the same slope and y intercept after combining like terms, they are the same line and have infinetely many solutions.
Step-by-step explanation:
If you combine like terms it would give you 36x + 18 = 36x +18,
nThat's infinetely many solutions since they have the same slope and y-intercepts, therefore they are the same line.
The equation has infinitely many solutions. That means equation is true for all values of x.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
We have equation;
12x + 6(4x + 3) =2(6x + 4) – 2
And Elena solved,
12x + 24x + 18 = 36x + 24 - 6
Now, we will solve further,
36x + 18 = 36x + 18
That means equations are equivalent.
And there are two equations and one unknown.
So equation has infinitely many solutions.
Therefore, the equation has infinitely many solutions. That means equation is true for all values of x.
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Sara has 45 boxes. Bob has two times as many boxes as Sara. How many boxes does Bob have?
a 47
b 83
c 85
d 90
Answer:
90
Step-by-step explanation:
2x45=90
A redwood tree in King’s Canyon National Park, California has a circumference of 220 inches. Tanner measured the circumference of some other redwoods that had been planted over the last 5 years. His data is recorded below. Write a rule for the data in the table.
Use your rule to predict the circumference of a tree after 50 years of growth.
Use your rule to estimate the age of the tree with a circumference of 221 inches.
Answer:
A). 101 inches
B). 110 years
Step-by-step explanation:
Years since planting Circumference Difference
1 3 -
2 5 (5 - 3) = 2
3 7 (7 - 5) = 2
4 9 (9 - 7) = 2
5 11 (11 - 9) = 2
6 13 (13 - 11) = 2
There is a difference of 2 in every successive term of the circumference.
Therefore, the given sequence is an arithmetic sequence.
Explicit formula of an arithmetic sequence is given by,
[tex]A_n=a+(n-1)d[/tex]
Here a = first term
n = number of terms
d = common difference
From the given table,
[tex]A_n=3+(n-1)2[/tex]
[tex]A_n=2n+1[/tex]
Here [tex]A_n[/tex] = circumference after 'n' years
n = Age of the plant
By this formula,
Circumference of a tree after 50 years,
[tex]A_{50}=2(50)+1[/tex]
= 101 inches
Age of tree with the circumference = 221 inches,
221 = 2n + 1
2n = 220
n = 110 years
BRAINILEST TO WHO ANSWERS FIRST
Factor x^2−2x−8
Answer:
(−4)(+2)
hi just trynna get to 20 characters
Solve these plsssssssssss
Answer: B
Step-by-step explanation:
Which statement is false?
All angels in an acute triangle are
acute
All angles in an obtuse triangle are
obtuse
A right triangle has a 90-degree
angle
A triangle can not have a right
anale and an antuse anale
NEED HELP ASAP, WILL GIVE BRAINLIEST
Find the sum of the first 36 terms in the arithmetic series -0.2, 0.3, 0,8...
a. 318.6 b. 332.2 c. 307.8 d. 315
Answer:
b.332.2
Step-by-step explanation:
1 last geometry problem
Ha sry I know I am asking a lot from y’all but I really need help
Answer:
33333333333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
Answer:
the first one has positive quotient
Given g(x)=-2x+3, solve for x when g(x)=-3
Answer:
g(-3)=9
Step-by-step explanation:
Replace all of the (x) with -3
So the new equation
g(-3)= -2(-3)+3
Now simplify
g(-3)= 6+3
Simplify further
g(-3)= 9
Hope this helps!
The value of x for the function g(x)=-2x+3 is 3.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
g(x)=-2x+3
Now, for g(x) = -3 we have
-2x+ 3 = -3
Now, Subtract 3 from both side
-2x + 3 - 3 = -3 -3
-2x = -6
Divide both side by (-2) we get
-2x / (-2) = -6 / (-2)
x = 3
Hence, the value of x is 3.
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A recipe calls for 3 4/5 cups of flour. However, Stacy wants to use half as much flour as the recipe calls for. How many cups of flour will Stacy use? Express your answer as a mixed number.
(3х – 6)(2x+2)
simplify by multiplying
For all values of x
f(x) = 2x - 3 and g(x) = x2+ 2
(a) Find g (-4)
Answer
Answer:
g(-4) = 18.
Step-by-step explanation:
Find g(-4): we replace the x in g(x) by -4:
g(-4) = (-4)^2 + 2
= 16 + 2
= 18.
Find the slope and the y-intercept of the graph of the linear equation.
Y = -1
Answer:
slope : 0
y - intercept : ( 0,-1 )
Step-by-step explanation:
Y varies directly as x, y = 15
when x = 5. Find y when x=
6
Answer:
18
Step-by-step explanation:
y=k×x
15=k×5
=>k=15/5=3
when x=6,
y=3×6
=18
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 5.5 gallons in the 14-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.60 per gallon. How much did Irene spend on gas?
Answer:
ok 16.5$
Step-by-step explanation:
PLEASE HELP
1. Is the rate of change in cost constant with respect to
the number of pencils bought? Explain.
Cost of Pencils
Number of Pencils 1
Cost ($)
0.25 1
1.75
Answer:
still need it??
Step-by-step explanation:
Explain how they are different AND the same
Proportional and linear functions are almost identical in form. The only difference is the addition of the “b” constant to the linear function. Indeed, a proportional relationship is just a linear relationship where b = 0, or to put it another way, where the line passes through the origin
Which of the following is most likely to form when one tectonic plate is pushed with great force under another tectonic plate below the ocean? (4 points)
a
Continental rift
b
Fault
c
Mid-ocean ridge
d
Tsunami
Answer:
D I did the test on Ed.......................................
2 movie tickets and 1 popcorn cost $29. 4 movie tickets and 4 popcorns cost $68. How much does 1 movie ticket cost?
A:$5
B:$12
C:$10
D:$9
Jimmy and 4 of his friends went out to eat. They decided to split the bill evenly. Each person paid $13. What was the bills total?
Answer:
$65
Step-by-step explanation:
5x13= 65
What is the range of this function?
Answer:
D
Step-by-step explanation:
The range is the right side, which is, "-8,-3,5,7" So, D
BRAINLIEST TO WHOEVER ANSWERS FIRST!
What is the next step in constructing an angle (MNO) congruent to the given angle (ABC) with a straightedge and a compass?
B
N.
E
1. Draw a ray. Label it NO
2. Using B as the center and any radius, draw an arc which intersects BA and BC. Label the intersection points D and E.
3. ?
O Draw a ray NM
Using N as the center and the same radius as before, draw an arc that intersects NO. Label the arc PQ where Q intersects NO.
Using N as the center and any radius, draw an arc which intersects NM and NO. Label the interception points P and Q.
With a straightedge, connect points D and E.
Answer:
Step-by-step explanation:
using N as the center and the same radius as before, draw an arc that intersects NO .Label the arc PQ where Q intersects NO.
Congruent angles have the same measure.
The next step is (b) Using N as the center and the same radius as before, draw an arc that intersects NO. Label the arc PQ where Q intersects NO.
The attached image implies that you have already constructed a straight line NO.
The next step is to construct an arc that intersects line NO
To do this, we make use of the following steps
Measure the distance ABMeasure the distance BDConstruct an arc PQ of length BD using point N as the centerLabel the points of intersection as P and QHence, the next step is (b)
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