Answer:
The answer is "[tex]y = \frac{1}{4}(x-4)[/tex]".
Step-by-step explanation:
Given:
[tex]Line = y= -4x+3 \\ \\point= (8,1)[/tex]
The formula for the standard Equation of a line:
[tex]\to y= mx +c[/tex]
compare the above line value:
[tex]m= -4\\\\c= 3[/tex]
When a line is perpendicular so, the m value is: [tex]= \frac{1}{4}[/tex]
[tex]\to m_1 \times \m_2 = -1\\\\\to -4 \times m_2= -1\\\\\to m_2 = \frac{-1}{-4}\\\\\to m_2= \frac{1}{4}[/tex]
Line equation when one point and m is given:
[tex]\to (y-y_1) = m (x- x_1)\\\\\to (y-1) = \frac{1}{4}(x- 8)\\\\\to 4y-4 = x- 8\\\\\to 4y = x-8+4\\\\\to 4y = x-4\\\\\to y = \frac{1}{4}(x-4)\\[/tex]
a standard six-sided die is rolled. what is the probability that the value of the second die is higher than the first
Answer:
The probability that the value of the second die is higher than the first
[tex]P(E) = \frac{15}{36} = \frac{5}{12}[/tex]
Step-by-step explanation:
Explanation:-
In a single throw with two dice total number of sums = 6 X 6 = 36
Let 'E' be the event of the second die is higher than the first
Total number of cases
= {( 1,1), (1,2 )( 1,3), (1,4) , (1,5) ,(1,6)
( 2,1), (2,2 )( 2,3), (2,4) , (2,5),(2,6)
( 3,1), (3,2 )( 3,3), (3,4) , (3,5),(3,6)
( 4,1), (4,2 )( 4,3), (4,4) , (4,5),(4,6)
( 5,1), (5,2 )( 5,3), (5,4) , (5,5),(5,6)
( 6,1), (6,2 )( 6,3), (6,4) , (6,5),(6,6)}
The favourable cases
n(E) = {(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)} = 15
The probability that the value of the second die is higher than the first
[tex]P(E) = \frac{15}{36} = \frac{5}{12}[/tex]
What is the coefficient in the term 7x?
A.0
B.1
C.7
D.x
Answer:
C. 7
Step-by-step explanation:
The coefficient is the number before the variable.
In the adjoining figure, if XY = XZ and YA = AZ, write
down the relation between XA and YZ.
Answer:
XAㅗYZ
XA is perpendicular to YZ
HOPE THIS WILL HELP YOU..!
Find the highest common factor (HCF) of 90 and 48.
Answer:
The answer is 6
Step-by-step explanation:
The highest common factor between the numbers is 6.
What is the greatest common factor?The greatest common factor is the largest positive number which can be divided into given numbers evenly.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the two numbers are 90 and 48. The highest common factor will be calculated as,
90 = 2 x 3 x 3 x 5
48= 2x2x2x2x3
The common numbers are 2 x 3 = 6
Therefore, the highest common factor between the numbers is 6.
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What is the sum of −6
−6
and its opposite?
A. −12
−12
B. −6
−6
C. 0
D. 6
6
Answer:a
Step-by-step explanation:
Which expression is equivalent-3(6x+7)+4(7x+2)
Answer: are there choices?
Step-by-step explanation:
29+8 = 8 +29 is = 4+2 or 4 x 2
Answer: it 5 cuh
Step-by-step explanation:
Solve the following equations
3y-6x=48
y=3x+11
Answer:
See below
Step-by-step explanation:
a). 3y-6x=48
soln
or, 3xy=48
or, xy=48÷3
or, xy=32,,
b). y=3x+11
soln
or, y=13x
or, xy=13,,
What is the equation of the line that passes through the points (7,4) and (0,1/2)?
Answer:
y=1/2x+1/2
Step-by-step explanation:
plot the points
we know the y-intercept is 1/2 because of (0,1/2)
count how many times it goes up and how many times it goes down
then simplify your slope
write in y=mx+b form
ILL MARK AS BRAINLESS
what is the simplified form of 4x - 7 + x - 10
Answer:5x-17
Step-by-step explanation:
4x - 7 + x -10 = 0
4x + x - 7 - 10 = 0
5x - 17 = 0
5x = 17
x = 17/5
Which number line best shows how to solve -4- (-8)
Answer:
A
Step-by-step explanation:
For this specific question its B but If you get another order of answers its is the on that goes down to -4 then gets 8 units higher leaving it at 4.
Ricky draws a square . He claims that any rotation about the center of the square that is a multiple of 30 degrees will carry the square onto itself . Which statement best describes Ricky's claim ?
Answer:
Option (a)
Step-by-step explanation:
This question is incomplete without statements; find the statements as followed,
a). Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees.
b). Ricky's claim is incorrect since not all rotations that are multiples of 30 degrees carry a square onto itself.
c). Ricky's claim is correct since any rotation that carries a square onto itself is a multiple of 30 degrees.
d). Ricky's claim is correct since any rotation that is a multiple of 30 degrees carries a square onto itself.
Square ABCD will map onto itself when point A comes to B, C or D by a rotation about the center E with a multiple of measure of angle AEB.
m∠AEB = 90° [Diagonals of a square intersect each other at 90°]
In simpler words, if square ABCD is rotated 90° or it's multiple about the center E, square will overlap itself.
Therefore, Option (a) is correct.
Write an equation passing through the point in perpendicular to the given line.
Please solve both!
Thank you!
Answer:
10. y=-4x+3
12. y=[tex]\frac{1}{2}[/tex]x+3
Step-by-step explanation:
In order for a line to be perpendicular to another, their slopes must be opposite reciprocals.
1. Put the given equations into slope-intercept form. (y=mx+b)
2. Identify the opposite reciprocal of the original equations. (#10: -4 & #12: [tex]\frac{1}{2}[/tex])
3. Plug your given coords and opposite reciprocals into point-slope formula (y-y₁=m(x-x₁)) and simplify the expression to get your equation of the line.
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The price of a set of headphones that regularly sells for $99 increases by 30%. Write two different expressions that you can use to find the new price.
A. 1.30(99)
B. 99 + 0.30 (99)
C. 1.30 + 99
D.99 - 0.30 (99)
Answer:
A and B those are the answers
Answer:
A and B
Step-by-step explanation:
Both multiply to become a bigger price
shawna is making a $12 per hour. she gets a 6% increase in pay.
ANSWER ASAPPPP PLZZZZ MARKING BRAINLIEST HELPPP
Answer:
12.72 dollars per hour
Step-by-step explanation:
Her original money is $12 per hour. We know that 6% in a decimal is 0.06. But if we multiply 0.06 and $12, it would get an answer that is decreasing than increasing. So we can get this equation. 12+0.06*12. ( 12 dollars plus 6% of 12 dollars) If we divide by 12, we get: 12( 0.06+1). 0.06+1=1.06. And 1.06*12 is 12.72 dollars per hour now. I hope this helps your question!
I Only need to do questions 22 and 24
Liam bought 2 vintage movie posters, 2 rock posters, and 1 rap poster. He applied a $35 gift card to the total purchase and a 1/2-off coupon to the rap poster. Write and evaluate a numerical expression to show how much Liam paid for the posters.
Vintage Movie: $28.50
B Movie: $18.25
Rock: $29.75
Rap: $19.50
Answer:
the vintage movie posters and the 2 rock posters could be priced the same, $8.
8 x 4 = 32.
the rap poster could be $6, but with the half-off coupon it comes to $3
32 + 3 = 35
assuming the gift card covers the total cost, this reasoning is correct.
Step-by-step explanation:
20/12=15/x find x plz help
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
To find x, we first have to solve the equation given in the question:
[tex]\frac{20}{12} = \frac{15}{x}[/tex]
[tex]20x = 15 \cdot 12[/tex]
[tex]x = \frac{180}{20}[/tex]
[tex]x = 9[/tex]
Therefore, x = 9.
Hope this helped!
Answer:
x=9
Step-by-step explanation:
We have: [tex]\frac{20}{12}[/tex]=[tex]\frac{15}{x}[/tex]
First, we can simplify 20/12 by 4
[tex]\frac{5}{3}[/tex]=[tex]\frac{15}{x}[/tex]
this is a proportion, so we can cross multiply (multiply 5 by x and 3 by 15)
5x=45
divide by 5
x=9
Hope this helps!
Henri brought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit? Select three options.
If the selling price is marked up by 25 percent, the new price will be $10.
If the selling price is marked up by 40 percent, the new price will be $7.50.
If the selling price is marked up by 55 percent, the new price will be $5.50.
If the selling price is marked up by 70 percent, the new price will be $13.60.
If the selling price is marked up by 75 percent, the new price will be $14.
Answer:
the first forth and fifth answers are correct.
Step-by-step explanation:
8 times 1.25 = 10
8 time 1.70 = 13.60
8 times 1.75 = 14
On a test a student got 15 problems correct out of a total of 20 problems. What percent did the student get, begin emphasis, incorrect, end emphasis,?
Answer:
I think what you got is correct
The percentage of incorrect problems is 25%.
Option D is the correct answer.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of problems = 20
Number of correct problems = 15
The number of incorrect problems.
= 20 - 15
= 5
The percentage of incorrect problems.
= 5/20 x 100
= 25%
Thus,
25% were incorrect problems
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A florist can order roses in bunches of 12 and lilies in bunches of 8. Last month she ordered the same number of roses and lilies. If she ordered no more than 100 of each kind of flower, how many bunches of each could she have ordered? Find all the possible combinations.
Answer:
2 bunches of roses and 3 bunches of lilies.
4 bunches of roses and 6 bunches of lilies.
Step-by-step explanation:
Given that:
Roses come in a bunch of 12 flowers and
Lilies come in a bunch of 8 flowers
Number of roses ordered is equal to the number of lilies ordered.
Total number of flowers ordered are lesser than 100.
To find:
The possible number of combinations such that equal number of flowers are bought.
Solution:
Here, we need to find the Least Common Multiple.
[tex]12 = \underline{2 \times 2} \times 3[/tex]
[tex]8 = \underline{2 \times 2} \times 2[/tex]
LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]
Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.
i.e.
24, 48, 72, 96 ....
Here, two types of flowers are there.
Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.
48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.
Total possible combinations:
2 bunches of roses and 3 bunches of lilies.
4 bunches of roses and 6 bunches of lilies.
I really need help plz I dont get this
Answer:
[tex] (\frac{( {4}^{2} )( {y}^{2} )}{( {2}^{3} )( {x}^{3} )( {x}^{4} )( {y}^{6} )}) ^{2} [/tex]
[tex]( \frac{({2}^{4} )( {y}^{2} )}{ ( {2}^{3} )( {x}^{7} ) ( {y}^{6} )} ) ^{2} [/tex]
So, you can do next by using basic of
Ex.
[tex] {a}^{2} {a}^{4} = {a}^{2 + 4} = {a}^{6} [/tex]
[tex] \frac{ {b}^{5} }{ {b}^{3} } = {b}^{5 - 3} = {b}^{2} [/tex]
on the first day of your garage sale, you earn 12x+9 dollars. The next day you earn 22x dollars. Is it possible that you earned the same amount each day? Explain.
Set the two expressions equal to one another and solve for x
22x = 12x+9
22x-12x = 9
10x = 9
x = 9/10
x = 0.9
Assuming x is the number of items sold, then it is not possible to have the same amount earned for the two days. This is because we cannot sell 0.9 of an item. So it appears it is not possible to earn the same amount each day.
Find the number z, if 1 4/11 of z is 45. pls help!
Answer:
z = 33
Step-by-step explanation:
[tex]1 \frac{4}{11} \times z = 45 \\ \\ \frac{1 \times 11 + 4}{11} \times z = 45 \\ \\\frac{11 + 4}{11} \times z = 45 \\ \\\frac{15}{11} \times z = 45\\ \\z = \cancel{ 45} \: \: \red{ \bold{3}} \times \frac{11}{ \cancel{15}} \\ \\ z = 3 \times 11 \\ \\ z = 33[/tex]
PLEASE HELP
Suppose f(x) = x2 and g(x) = 5x2. Which statement best compares the graph of g(x) with the graph of f(x)?
A.
The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5.
B.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.
C.
The graph of g(x) is the graph of f(x) vertically compressed by a factor of 5.
D.
The graph of g(x) is the graph of f(x) shifted 5 units right.
Answer:
B. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5
Step-by-step explanation:
It is a quadratic and in the form:
f(x) = a(x-h)^2 + k
In this case a = 5, and if a is greater than 1, then the parabola is vertically stretched. It is not vertically compressed because a is not less than 1.
h and k are irrelevant because there are no horizontal or vertical shifts in the graph.
Therefore, when compared to f(x) = x^2, the graph has only been vertically stretched by a factor of 5.
Answer:
the graph of g(x) is the graph of f(x) vertically stretched by a factor of 5
Step-by-step explanation:
Tyreek Hill is the fastest player in the NFL, running a 40 yar dash in 2.4 seconds. Using the rate, 38 yards for every 4 seconds: How many yards can he run in 12 seconds?
Answer:
He can run 112 yards in 12 seconds
Step-by-step explanation:
Here, we want to know the number of yards he can run in 12 seconds
From the question, we are told that his running rate is 38 yards in 4 seconds
So the number of yards he can run in 12 seconds will be;
38 * 12/4
= 38 * 3 = 114 yards
In the liner equation shown which variable represent the output values
Y=
MX + b
Answer:
b=−mx+y
Step-by-step explanation:
Find the value of X. round to the nearest tenth
There is no equation, what is the equation?
Answer:
what is the equation
Step-by-step explanation:
Given the function f (x) = -2x -5, determine the value of f (-3). Please helpp
Answer: if you see my picture that the answer for your question
Step-by-step explanation: hope this help