Answer:
The right answer is "3.33333".
Step-by-step explanation:
The given points in the question are:
[tex]P=(7,-3) = (x_1,y_1)[/tex]
[tex]Q=(x,\frac{3}{6-x} )=(x_2,y_2)[/tex]
Now,
The slope of PQ will be:
= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
By putting the values, we get
= [tex]\frac{\frac{3}{6-x}+3 }{x-7}[/tex]
= [tex]\frac{3+18-3x}{(6-x)(x-7)}[/tex]
= [tex]\frac{21-3x}{(6-x)(x-7)}[/tex]
= [tex]\frac{3(x-7)}{(6-x)(x-7)}[/tex]
= [tex]\frac{3}{x-6}[/tex]
hence,
x = 6.9
it's slope will be:
= [tex]3.33333[/tex]
factorise
x^3 - 2x^2 -x+2
Answer:
Solution given:
x^3 - 2x^2 -x+2
take common from two each term
x²(x-2)-1(x-2)
take common again and keep left one on other bracket
(x-2)(x²-1) or (x-1)(x+1)(x-2) is a required answer.
note:using formula a²-b²=(a+b)(a-b) for x²-1.
Answer:
[tex](x - 1)(x + 1)(x - 2)[/tex]
Step-by-step explanation:
[tex]x^3 - 2x^2 - x + 2[/tex]
Take x² common from first two terms.[tex]=> x^2(x - 2) -1(x - 2)[/tex]
Take (x - 2) common from whole expression.[tex]=> (x - 2)(x^2 - 1)[/tex]
Factorise (x² - 1) by using the identity → (a² - b²) = (a + b)(a - b)[tex]=> (x - 2)(x + 1)(x - 1)[/tex]
show all work. Write the equation in point slope form (5, -9); m = 6
what is the percentage of (1)/(2)
Answer:
50%
Step-by-step explanation:
1 whole = 100%
1/2 of a whole = 1/2 × 100%
= 50%
PLEASEEEEEEEEEEEEEEEEEEEEEEE
Answer:
9
hope this helps
have a good day :)
Step-by-step explanation:
No links!!!
Will give brainliest and please don’t guess
Answer:
You were so worried about somebody guessing
you forgot to ask a question!
Step-by-step explanation:
L
My mailman makes a total of 100 deliveries a day. There
were 65/100 of the deliveries were letters and 3/10 were
packages and the rest were postcards. Write and solve
an equation to find what fraction of the deliveries were
postcards.
Answer:
5 postcards
Step-by-step explanation:
65/100 + 30/100 (change it) = 95/100
1.
For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.
A. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = –x2 + x
B. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + x + 1
C. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.75); f(x) = x2 – x + 1
D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1
Answer:
D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1
Step-by-step explanation:
A. Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
( 1 /2 , 1 /4 )
Focus:
( 1 /2 , 0 )
Axis of Symmetry:
x
=
1
2
Directrix:
y
=
1
2
x
y
− 2
− 6
− 1
− 2
1
2
1
4
1
0
2
− 2
B. Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
( − 1 /2 , 3 /4 )
Focus:
( − 1 /2 , 1 )
Axis of Symmetry:
x
=
−
1
2
Directrix:
y
=
1
2
x
y
− 2
3
− 1
1
− 1
2
3
4
1
3
2
7
C. Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
( 1 /2 , 3 /4 )
Focus:
( 1 /2 , 1 )
Axis of Symmetry:
x
=
1
2
Directrix:
y
=
1
2
x
y
− 2
7
− 1
3
1
2
3
4
1
1
2
3
D. Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
( − 1 , 0 )
Focus:
( − 1 , 1 /4 )
Axis of Symmetry:
x
=
− 1
Directrix:
y
=
− 1
4
x
y
− 3
4
− 2
1
− 1
0
0
1
1
4
A television shop sold a set for $799. It made a profit of $ 245.25. How much did the shop buy the television for ?
Answer:
the shop originally bought the television for $553.75
Step-by-step explanation:
this is because if they sold it for $799 and made a profit of $245.25 then you would subtract the profit from the price the TV sold for and you get $553.75
Write a set of whole numbers less
than 15.
Answer:
W={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15............}
Step-by-step explanation:
Answer:
a=( 0,1,2, 3, 4, 5, 6, 7, 8,9, 10,11, 12, 13, 14,) is the correct answer right
5 pleaseeee help me out ill mark you brainlist
I'm on the verge of failing smh
Answer:
D) y = -4/3x + 5
Step-by-step explanation:
Can be checked with a calculator or by replacing the variables into the equation.
The perimeter of this shape is 92cm.
Find the value of x.
(x + 7)
Step-by-step explanation:
x + 7 = 92
x = 92 - 7
x = 85
The value of x is 85
pls answer if u do know
Answer:
√18 is irrational.
and if we put the value of π=22\7 then it is rational.otherwise we can say that4π\4 is also irrational.
Step-by-step explanation:
thank you ..
mark me as a brainlist.
Which value of x makes this equation true? -12x - 2(x+9) = 5(x+4)
x = -2
−12x−2(x+9)=5(x+4)
Use the distributive property to multiply −2 by x+9.
−12x−2x−18=5(x+4)
Combine −12x and −2x to get −14x.
−14x−18=5(x+4)
Use the distributive property to multiply 5 by x+4.
−14x−18=5x+20
Subtract 5x from both sides.
−14x−18−5x=20
Combine −14x and −5x to get −19x.
−19x−18=20
Add 18 to both sides.
−19x=20+18
Add 20 and 18 to get 38.
−19x=38
Divide both sides by −19.
x=
−19
38
Divide 38 by −19 to get −2.
x=−2
The required simplified value of x for the given equation is -2/19.
To determine the value of x that makes equation -12x - 2(x + 9) = 5(x + 4) true.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
-12x - 2(x + 9) = 5(x + 4)
-12x -2x - 18 = 5x + 20
-14x - 18 = 5x + 20
-14x - 5x = 20 - 18
-19x = 2
x = -2/19
Thus, the required simplified value of x for the given equations is -2/19.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
Sonya worked as a dog walker for $9.30 per hour and worked 20 hours each week. Later that year she moved and had to get a new job. Her new job was washing dishes. She was paid $7.50 per hour working 40 hours each week. What is the difference in income per week between the dog walking and dishwashing jobs.? *
Answer:
She makes $114 more doing dishes.
Step-by-step explanation:
(9.30x20)-(7.50x20)
Solve for x: 3(x - 2) = -9
1. 1
2. -1
3. - 7/3
4. 3/7
Answer:
2) -1
Step-by-step explanation:
Answer:
the answer is 2. -1...............
Please help this due today
Answer:
A
Step-by-step explanation:
just add all of them and divide it by six.
If a car can travel 250 miles on 10 gallons of fuel , how many gallons are requiered to travel 1325 miles
Answer:
53 gallons of fuel
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)
[tex]\frac{10}{250} = \frac{x}{1325}[/tex]
Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.04 once divided)
[tex]\frac{10}{250}\\\\10 \div 250\\\\= 0.04[/tex]
Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]1325 \times 0.04\\\\= 53[/tex]
Therefore, 53 is the amount of gallons of fuel needed.
Drag tiles to fill in the blanks to complete the expression that could be used to predict the number of winners of a game. Tiles may be used once or not at all.
A)Total Number of Possible Outcomes B)Number of Winners
C)Number of Unfavorable Outcomes D)Number of Games
P(event) =
Number of Favorable Outcomes
_________________________
?????????????????????????????
=
?????????????????????????????
_________________________
11 Total Number of Contestants
(Pick two answers)
Answer:
First blank - A)Total Number of Possible Outcomes
Second blank - B)Number of Winners
Step-by-step explanation:
The exact question is as follows :
We know that,
Probability of an event is equals to Total number of Favorable outcomes divided by Total number of outcomes
So,
P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes
As we have to predict the Number of winners of a game
So,
P(Number of winner) = Number of winners ÷ Total number of Contestants
∴ we get
P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes
= Number of winners ÷ Total number of Contestants
How many solution does the system of linear equations represented in the graph below have?.
Answer:
No solution
Step-by-step explanation:
The given lines on the graph are parallel . So they will never intersect each other. Therefore they have no solution.
In a survey of a town, 54% of residents own a car, 34% of residents own a truck, and 11% of residents own both a car and a truck. What is the conditional probability that a person who owns a car also owns a truck? Round to the nearest whole number.
Options:
20%
46%
23%
32%
These are the first six terms of a sequence starting with a1 = 80:
80, 40, 20, 10, 5, 5/2, ….
Find a recursive formula for this sequence that is valid for n > 1.
Write your answer in simplest form.
an=?
Answer:
[tex]a _{n} = a( {r}^{n - 1} ) \\ a _{n} = 80(2 {}^{n - 1} ) \\ a _{n} = \frac{80. {2}^{n} }{ {2}^{ 1} } \\a _{n} = 40( {2}^{n} ) \\ a _{n} = ( {2}^{3} \times 5)( {2}^{n} ) \\ a _{n} = 5( {2}^{n + 3} )[/tex]
please help me !! this diagram is not to scale.
Answers:
sin(A) = 7/25cos(A) = 24/25tan(A) = 7/24==============================================
Explanation:
We use these rules shown below
sin(angle) = opposite/hypotenusecos(angle) = adjacent/hypotenusetan(angle) = opposite/adjacentFor reference angle A, the side opposite it is BC = 7 which is as far as possible we can go from this angle. The closest we can get is AB = 24 which is the adjacent side. The hypotenuse is always the longest side, always opposite the largest angle (90 degrees).
Each fraction in bold shown above is reduced as much as possible. For example, 7/24 cannot be reduced since 7 and 24 have no factors in common other than 1.
A
N
S
W
E
R
P
L
E
A
S
E
I
L
L
G
I
V
E
B
R
A
I
N
I
L
I
E
S
T
Answer:
x=67
y=40
The angles equal 63 and 117
Step-by-step explanation:
88% sure
Janet uses 2 cups of strawberries to make 4 cups of strawberry jam. How many cups of strawberries are required to make 10 cups of strawberry jam?
Which number are factors of 4? 9,7,6,1 select al that apply
Answer:
1
Step-by-step explanation:
the factors of 4 are 1, 2, 4
1 x 4 = 4
2 x 2 = 4
4 x 1 = 4
Pls help i don’t know how to answer
Answer:
I'm pretty sure your answer is 3, -4
Step-by-step explanation:
On a boat tour there are half as many children as there are adults. There are 30 people. How many children are there.
Answer:
10 children, 20 adults
Step-by-step explanation:
Children=1/2Adults
adults+children=30
adults + 1/2 adults=30
1 1/2 adults =30
adults = 20
children =1/2 adults
children = 1/2(20)
children=10
What is the radius of this circle?
Answer:
radius is 9
Step-by-step explanation:
radius is half the diameter which is 18 and half of 18 is 9
Which of the following best describes the shape of the distribution below ?
A) Uniform
B) right skewed
C) bell shaped
D) left skewed
Answer:
Its right skewed
Find the following value
Answer:
∠ BCA = 45°, ∠ AWD = 90°
Step-by-step explanation:
All angles are right angles by definition.
Diagonals bisect the angles , so
∠ BCA = 45°
Diagonals are perpendicular bisectors of each other, so
∠ AWD = 90°