Answers
Answer:
y = 4x
y = -1/3 × x + 6
y = x + 1
y = 1
y = 5x
Step-by-step explanation:
the slope of a line is the factor of x in the equation representing the ratio of y/x. it stands for the number of units y changes, when x changes by another number of units.
like the factor 4 tells us that when x changes by 1, then y changes by 4.
a line parallel to another line means their slopes are identical (otherwise they could not be parallel).
the slope of a perpendicular line (cutting the other line in a 90 degree angle) is simply reversing y and x in the slope ratio. so, a slope of 4 (4/1) would simply turn into 1/4.
now the 5 tasks are easy, right ?
A y=4x-1, B y=4x + c
and because B passes through the origin = (0,0),
c is 0 (0=4×0 + c = c)
B y = 4x
A y=-3x+1, B y=-1/3 × x + c
and B passes through (12,2), 2 = -1/3 × 12 + c = -4 + c,
c = 2 + 4 = 6
B y = -1/3 × x + 6
A y = ax + c for (5,6) and (7,8), B is identical
6 = a×5 + c => c = 6 - a×5
8 = a×7 + c => 8 = a×7 + 6 - a×5 = a×2 + 6
=> a×2 = 8-6 = 2
=> a = 1, c = 6 - 1×5 = 1
=> A and B y = x + 1
A is vertical. B is perpendicular to it. perpendicular to vertical is horizontal. so, B is a flat line. which means y is a constant value (the same value for whatever value of x you want to use). so it goes flat in parallel to the x-axis through what value of y ? the point (4,1) tells us that y=1
and that is the equation for B
A 15x -3y = -6 => 3y = 15x + 6 => y = 5x + 2
B is parallel, so y = 5x + c
and B passes through (4,20), 20 = 5 × 4 + c = 20 + c,
c = 20 - 20 = 0
B y = 5x
Related Questions
This is a rhombus. Solve for x, Then label each angle with its correct measures:
Answers
Answer:
Step-by-step explanation:
In the given rhombus, the value of x is 18.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that;
Diagonal bisect the angles of a rhombus.
Hence, We can formulate;
⇒ (2x + 16)° = (3x - 2)°
Solve for x as;
⇒ 2x + 16 = 3x - 2
Subtract 2x both side,
⇒ 2x + 16 - 2x = 3x - 2 - 2x
⇒ 16 = x - 2
Add 2 both side,
⇒ 16 + 2 = x - 2 + 2
⇒ 18 = x
⇒ x = 18
Thus, The value of x in rhombus = 18
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Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
Assume that you take out a $2000 loan for 48 months at 3.5% APR. How much total interest will you have paid at the end of the 48 months? (Round your answer to the nearest cent.)
$
Answers
Step-by-step explanation:
Are you using a particular calculator for the class? For this class, is the payment expected to be compounded monthly?
There is a function in Microsoft Excel that will calculate the payment for you, but the answer is going to be slightly different for a business math class than a calculus-based statistics class.
The excel formula to calculate a payment is
=PMT(0.04/12,60,25000,0)
.04/12 is the interest APR on a monthly basis
60 is the number of months
25000 is the current amount owed
0 is the future balance after 60 payments
The answer from Excel is $460.41 -- ignore the negative sign for these purposes.
Multiply that number by the 60 months you pay and you get a total paid of $27,624.78
Remove the initial 25K and $2,624.78 is your interest amount.
By the way, I used the simplifying assumptions that the problem meant "interest rate" when it said "APR", and that the rate would compound monthly. In the actual loan industry, the interest rate is only part of the calculation for APR, a
146.08
Step-by-step explanation:
Let's start by figuring out the payment
effective rate: .035/12= .002916667
\begin{gathered}2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71\end{gathered}
2000=x
.002916667
1−(1+.002916667)
−48
x=44.71
then it's just
44.71*48-2000=146.08
Answer:
146.08
Step-by-step explanation:
Let's start by figuring out the payment
effective rate: .035/12= .002916667
[tex]2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71[/tex]
then it's just
44.71*48-2000=146.08
Which of the following correctly simplifies the expression 2 to the power of 3 multiplied by 3 to the power of 0 whole over 5, the whole squared.? (5 points)
2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 1 squared over 5 squared. = 64 over 25.
2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 1 squared over 5 cubed. = 32 over 125.
2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 0 over 5 squared. = 0
2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 0 over 5 cubed. = 0
Answers
9514 1404 393
Answer:
(a) 64/25
Step-by-step explanation:
The relevant properties of exponents are ...
a^0 = 1 . . . . a ≠ 0
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
__
Your expression simplifies to ...
[tex]\left(\dfrac{2^3\cdot3^0}{5}\right)^2=\dfrac{2^{3\cdot2}\cdot1^2}{5^2}=\dfrac{2^6}{5^2}=\boxed{\dfrac{64}{25}}[/tex]
Find the Laplace Transform of the following function.
f(t) = 10 cos (12t+ 60°) u(t)
Answers
Answer:
L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]
Step-by-step explanation:
f ( t ) = 10 cos ( 12t + 60°) u(t)
attached below is a detailed solution of the given problem
L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]
If v=-1, x=-2
and y= 3, find the value of:
3v + 2x
Answers
Answer:
-7
Step-by-step explanation:
3 v + 2 x
Where, v = -1 and x = -23 ( - 1) + 2 ( -2)
-3 - 4
-7
Suppose you have a score that puts you 1.1 standard deviations below the mean. What is your percentile score?
Answers
Answer:
200000%
Step-by-step explanation:
.
What value can you add in the blank in the expression x^2 + 6x + 7 +__ to complete the
square?
Answers
Answer:
2
Proof:
x^2 + 6x + 7 + 2 = x^2 + 6x + 9 = x^2 + 6x + 3^2 = (x + 3)^2
The value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2
What is trinomial?"It is a polynomial which consists of three terms."
What is square trinomial?"A trinomial with degree 2"The general form of square trinomial is [tex]ax^{2} +bx+c[/tex] where a ≠ 0What is perfect square trinomial?"A square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac"
For given question,
We have been given a square trinomial.
[tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex]
We need to find the number in the blank space, so that the given trinomial would be complete square.
Let 'm' be the required number.
So, the trinomial would be [tex]x^2 + 6x + (7 +m)[/tex]
Comparing above square trinomial with [tex]ax^{2} +bx+c[/tex],
we have a = 1, b = 6, c = 7 + m
We know, a square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac
⇒ b² = 4ac
⇒ 6² = 4 × 1 × (7 + m)
⇒ 36 = 4 × (7 + m)
⇒ 9 = 7 + m
⇒ m = 2
This means, we need to add 2 in the blank space.
So, the square trinomial would be,
[tex]x^2 + 6x + 7 + \underline {2}\\\\= x^2 + 6x + 9\\\\= (x + 3)^2[/tex]
Therefore, the value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2
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can anybody help me? I'll give brainlest
Answers
9514 1404 393
Answer:
65°, 35°, 90°, 115°, 80°
Step-by-step explanation:
There are 9 of the longer tick marks in 90°, so each of them represents 10°. The shorter tick marks are halfway between, so are on multiples of 5°. This lets us make a list of the angle value associated with each of the letters.
A: 0 or 180
B: 65 or 115
C: 90
D: 145 or 35
E: 180 or 0
__
Using this list, we can find the measure of each angle by finding the positive difference of the corresponding angle values associated with each of its rays.
arc AOB = 65 -0 = 65°
arc DOE = 35 -0 = 35°
arc AOC = 90 -0 = 90°
arc EOB = 115 -0 = 115°
arc DOB = 145 -65 = 80°
A tosses one coin and B tosses two coins. The winner is the player who gets the most heads. In case of an equal number of heads A wins. (a) Compute the probability that B wins given that A gets 0 heads. (b) Compute the probability that B wins given that A gets 1 heads. (c) Compute the probability that B wins. (d) Change the game so that A tosses 2 coins and B tosses 3 coins. The winner is still the player who gets the most heads. In case of an equal number of heads A wins. Compute the probability that B wins in the new game.
Answers
Answer:
a) 3/4
b) 1/4
c) 1/2
d) 1/2
Step-by-step explanation:
A tosses one coin while B tosses two coins
a) P( B wins given A gets 0 heads )
In this scenerio for B to win, he needs to get at least 1 head i.e. P( B gets at least one heads)
= 1 - P(B get no head)
= 1 - (1/2)^2 = 3/4
b) P( B wins given A gets 1 head )
For B to win when A gets 1 head means that B will have to get 2 heads
i.e. P( B gets 2 heads ) = P( one head )^2 = ( 1/2 )^2 = 1/4
c) P( B wins )
P ( B wins ) = P(A get 0 head and B gets at least one head) + P(A get 1 head and B get 2 head)
= ( 1/2 * 3/4 ) + ( 1/2 * 1/4 ) = 1/2
d) P ( B wins the new game )
Given that: A tosses two(2) coin while B tosses three(3) coins
P( B ) = P(A gets 0 head and B gets one head) + P(A get 1 head and B get 2 or 3 heads ) + P(A get 2 head and B gets 3 heads )
=[ (1/4 *(1 -1/8) ] + (1/2 * 1/2) + ( 1/4 * 1/8 )= 1/2
20 points & Brainliest to the one who gets ALL of them correct! NEED HELP ASAP!!! Due today!!!
Verify these Identities & SHOW YOUR WORK:
1. cosx−cosxsin²x = cos³x
2. [tex]\frac{sinx}{1+cosx}[/tex] = [tex]\frac{1-cosx}{sinx}[/tex]
3. cos⁴b−sin⁴b = 1−2sin²b
4. [tex]\frac{siny+cosy}{siny}- \frac{cosy-siny}{cosy}[/tex] = [tex]\frac{secy}{cosy}[/tex]
5. (secx−tanx)² = [tex]\frac{1-sinx}{1+sinx}[/tex]
HELP!!!
Answers
Answer:
30
Step-by-step explanation:
Answer: go on mathaway!!!
Step-by-step explanation:
This dosent really help with ur question but mathaway is free and got me through math
Look below (Will give brianliest)
NO link and pls explain
Answers
Answer:
80
Step-by-step explanation:
brainliest please ;>
Here angle 6+ angle 5 + angle 4 = 360
120 + 110 + angle 4 = 360
Angle 4 = 360 - 220 =140
Mark brainliest please
This year, a small business had a total revenue of
$
62
,
100.
If this is
35
%
more than their total revenue from the previous year, what was the total revenue the previous year?
Answers
Answer:
21,735
Step-by-step explanation:
3. Pedro used of a 33 ounce bottle of
soap to wash his mother's car. How
many ounces of soap did Pedro use?
A 22 ounces
C 28 ounces
B 20 ounces
D 30 ounces
Answers
Answer:
question unclear
Step-by-step explanation:
this is unclear I have no idea what this
Answer:
I would say D
Step-by-step explanation:
if there was a 33 oz. bottle and Pedro uses it all for the car, maybe the other 3 oz is from the actual container and not the liquid inside.
will give BRAINLEST! See image attached below.
Answers
Answer:
See the image below for answer:)
Step-by-step explanation:
Answer:
B. (1 ± sqrt(33)) / 4
Step-by-step explanation:
the 2 solutions for a quadratic equation
ax² + bx + c = 0
are defined as
x = (-b ± sqrt(b² - 4ac)) / 2a
in our example here we have
a = -2
b = 1
c = 4
=>
x = (-1 ± sqrt(1 + 32)) / -4 = (1 ± sqrt(33)) / 4
as we can easily divide top and bottom by -1 to turn the -1 and -4 into positive numbers, and the second top part, the square root, is a ± factor anyway. just withing the sign dues not change the fact that is is still a ± factor (both signs apply).
and now it is clear, it has to be option B.
the others disqualify because they have either no division by any form of 4, or the "1" and the "4" have different signs. but our equation shows they need to have equal signs (either both negative or both positive).
Write the equation of the line that passes through the points
Y=2x+5
Answers
Answer:
Parallel means that the lines never intersect. If the equation of the new line is y=ax+b , then the system
y=ax+b
y=2x+5
needs to have no solutions. Subtracting the equations gives us
(a−2)x+(b−5)=0
In order for this to ever be 0 we need either a≠2 or b=5 , so to stop this from happening, we will require both a=2 and b≠5 .
Since our line now has the form y=2x+b , and (4,5) is on the line, then the equation
5=2⋅4+b
should be true. Since this implies that b=−3 , we have that the parallel line going through (4,5) has equation
y=2x−3
What is an equation of a line that goes through point (4,-5) and is parallel to y=2x+8?
Which line is parallel to the line y = 2x -4?
What is an equation for a line parallel to y = 5 x -5 and passing through the point (4,19)?
What is an equation for the line that is parallel to y= -4x
On a number line what nomber is 3 units to the left of 3
Answers
Answer:
Hello There!!
Step-by-step explanation:
The answer is 0. The number is 3 and you move 3 units to the left which is toward the negative numbers sides below zero which equals the answer as 0. [3-3=0.]
hope this helps,have a great day!!
~Pinky~
Step-by-step explanation:
7On a number line what nomber is 3 units to the left of 3
Find the indicated Arc length in bold . Use 3.14 for pi!
Answers
How far does a train travel in 12 hours at 115 miles per hour?
1,509 mi
1,265 mi
1,380 mi
Answers
Answer:1380
Step-by-step explanation: 12x115
Answer:
1,380
Step-by-step explanation: 12 times 115 gives you the product of 1,380. :)
Hope this is helpful
The set of lifespans of an appliance is normally distributed with a mean of 48 months and a standard deviation of eight months. What is the lifespan of an appliance that has a Z score of -3?
Answers
Answer:
24 months
Step-by-step explanation:
Given :
Mean = 48
Standard deviation = 8
Zscore = - 3
Using the relation :
Zscore = (x - mean) / standard deviation
Where, x = score
-3 = (x - 48) / 8
-3 * 8 = x - 48
-24 = x - 48
-24 + 48 = x
24 = x
Score = 24
22. A trapezoid has an area of 24 square units. The height is 3 units and the length of one of the bases is 5 units. Find the length of the other base.
Answers
Answer:
Step-by-step explanation:
A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:
area_trapezoid1.gif or area_trapezoid2.gif
Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.
Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.
In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.
Three boards are placed end to end to make a walkway. The first board is 4 feet 5 inches long, the second board is 6 feet 9 inches long,and the third board is 3 feet 11 inches long. How long is the walkway?
Answers
Answer:
15 feet and 1 inch long
Step-by-step explanation:
add up the feet: 4+6+3= 13 feet
add up the inches: 5+9+11 = 25 inches
25/12= 2 feet 1 inch
13 feet + 2 feet + 1 inch= 15 feet 1 inch
Please answer and explain.
Answers
Answer:
x = 13
Step-by-step explanation:
The sum of the exterior angles of a 4 sided polygon is 360
139+ 6x+9x+2x = 360
Combine like terms
139+17x=360
Subtract 139 from each side
17x = 360-139
17x = 221
Divide each side by 17
17x/17 = 221/17
x = 13
. What is the solution of the system of equations 3x + 2y = 4 and -2x + 2y = 24? *
Answers
Answer:
x= -4
y= -8
This will be the solution
i need help on this one please help! (listing BRAINLIST and giving points) :D
Answers
Answer:
2
Step-by-step explanation:
The larger triangle is a scaled version of the smaller one since all the angles are the same. Just the sides are different.
All angles are same: vertical angles are the same, right angles in both triangles, the last angle in both triangles have to be the same if the other angles were the same.
The side proportions are the same.
x/2.5 = 6/7.5
solve for x:
7.5x = 15
x = 2
the polynomial function f(x)=3x5-2x2+7x
Answers
Answer:
f(x)=7x+11
Step-by-step explanation:
15-4-7x= 7x+11. Sp y or f(x)= 7x+11
Simplify the polynomial (4n2 + 3n - 5) - (2n2 + 3n+ 6)
Answers
We keep brackets
(4n^2 + 3n - 5 ) - (2n^2 + 3n + 6)
We change signs and we group
4n^2 - 2n^2 + 3n - 3n - 5-6
We simplify
2m^2 - 11
Answer: = 2.n^2 - 11
The value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11
How to simplify the expression?The polynomial expression is given as;
(4n^2 + 3n - 5) - (2n^2 + 3n+ 6)
Open the bracket
4n^2 + 3n - 5 - 2n^2 - 3n- 6
Evaluate the like terms
2n^2 - 11
Hence, the value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11
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what is the equation of the line that has a gradient of 3 and passes through the point (-1,3)
Answers
Answer:
d
Step-by-step explanation:
The y value is two less than twice the x-value
Answers
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange. By what percentage is the grapcfruit heavier than the apple?
Answers
Answer:
The grapefruit is 18% heavier than the apple.
Step-by-step explanation:
Orange defines the 100% in this situation.
We know that grapefruit is 8% heavier than an orange, so the weight of a grapefruit (in percentage) will be: 100% + 8% = 108%
And an apple is 10% lighter than the orange, then the weight (in percentage) of the apple will be: 100% - 10% = 90%
The difference between the two weights is then:
grapefruit - apple
108% - 90% = 18%
So the grapefruit is 18% heavier than the apple.
HELP ME PLEASEEEEEEEEEEEEEEEE
Answers
Answer:
[tex] \frac{2}{3} a - \frac{1}{6} = \frac{1}{3} \\ \frac{2}{3} a = \frac{1}{2} \\ 4a = 3 \\ a = \frac{3}{4} [/tex]
