Step-by-step explanation:
To find the gradient:
y2-y1/x2-x1
Pick any two coordinates
11)
(4,3) and (1,-1)
-1-3= -4
1-4= -3
-4/-3 = 1.3(1dp)
12)
(0,1) and ( 2,-2)
-2-1= -3
2-0= 2
-3/2= -1.5
Might be wrong but this is what I got from what I have learnt.
Hope this helps! :)
Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3.
Answer:
you will need to specify a scale and draw the line from which I will solve with simultaneous linear equations
In the equation what is the value of x 1/4(x+4x) + 12= 1/2(2-x)+10
Answer:
[tex]x=-2\frac{2}{3}[/tex]
Step-by-step explanation:
1/4(x + 4x) + 12 = 1/2(2 - x) + 10
0.25(x + 4x) + 12 = 0.5(2 - x) + 10
0.25x + x + 12 = x - 0.5x + 10
1.25x + 12 = 0.5x + 10
1.25x + 12 - 12 = 0.5x + 10 - 12
1.25x = 0.5x - 2
1.25x - 0.5x = 0.5x - 0.5x - 2
0.75x = - 2
0.75x ÷ 0.75 = - 2 ÷ 0.75
[tex]x=-2\frac{2}{3}[/tex]
in 1995,there were 400 cell phone subscribers in the small town of Centerville. the number of subscribers increased by 50% per year after 1995 .
how many cell phone subscribers were in Centerville in 1999 ?
( the equation has to be in y = ab^x where y is the number of phone users and x is the years after 1995)
(show work)
Answer:
800
Step-by-step explanation:
50% of 400 = 200
1995-1999= 4 years
200x4= 800
After selling your house and purchasing a new house you have $25,000 left you wish to invest. The first
option you have is a one year T-Bill with a par value of $25,000 which costs $23,250. Your second option
is to invest in a 12 month CD with a 6.5% interest rate. Of these two available options which would allow you to receive a higher rate of return.
Answer:
Of course CD is higher then investing in T-bill
Solve the following inequality: 3-5x-x^2>=0
Answer:
-5/2+-1/2√37≤x≤-5/2+1/2√37
Step-by-step explanation:
Step 1: Find the critical points
-x^2-5x+3=0
For this equation: a=-1, b=-5, c=3
−1x^2+−5x+3=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(3)/2(-1)
x=5±√37 /−2
x=-5/2+1/2√37
Step 2: Check intervals in between critical points
x≤-5/2+1/2 √37 (Doesn't work in original inequality)
-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)
x≥-5/2+1/2 √37 (Doesn't work in original inequality)
I need help asap i will give brainlist
How many solutions exist for the system of equations graphed below?
none
one
two
infinitely many
Answer:
no solutions
Step-by-step explanation:
The lines are parallel and never intersect. The solutions occur when the lines intersect, so there are no solutions
The system of equations which is graphed have no solution.
What is system of linear equations?A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
A system of linear equation has only one solution when the graphs intersect at a point.A system of linear equation has no solution when the graph are parallel.A system of linear equation has infinite solutions when the graph are the exact same.According to the given question.
We have a graph.
In the given graph the two lines are drawn, which are parallel to each other. So, they don't have a common point.
Therefore, the system of equations which is graphed have no solution.
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PLEASE HELP QUICKLYYYY
9514 1404 393
Answer:
x = 48
Step-by-step explanation:
The sum of the angles in a pentagon is 540°, so you have ...
90° +100° +110° +2x° +3x° = 540°
5x = 240 . . . . . . . divide by °, subtract 300
x = 48 . . . . . . . . . divide by 5
_____
Additional comment
The sum of angles in a convex n-gon is (n -2)×180°. For a pentagon, that's 3×180° = 540°.
Use the drop-down menus to label the graph according to its type.
one-to-one function
function (but not one-to-one)
relation (but not a function)
Answer:
relation ( but not a function)
Step-by-step explanation:
Answer:
The 1st is C, relation ( but not a function)
The 2nd one is A, one-to-one function.
Step-by-step explanation:
Please help will mark BRAINLIEST!
=====================================================
Explanation:
We have n = 5 sides. This means the interior angles sum up to...
S = 180(n-2)
S = 180(5-2)
S = 180(3)
S = 540
All five interior angles of this pentagon add up to 540 degrees.
what is the solution set of the equation (x-a) (x+b)=0
Answer:
Would it be x (squared) -ax +bx -a(b)
Or is it ax(squared) +bx +c?
If it isn't those then I think we need more information.
Step-by-step explanation:
Which of the following functions is graphed below?
A.y=[x+5]+4
B.y=[x+5]-4
C.y=[x-5]+4
D.y=[x-5]-4
Evaluate + for x = 6, y=-4, and z=-2.
09
0 27
0-9
0-27
Answer:
-27
Hope this helped in anyway
Answer:
the answer to this is -27.
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have side
lengths 1 cm?
Answer:
First one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
9. Divide 15x^7-45x^5/3x^4
10. Divide (3x-2)(x-4)-(x-4)(6-5x)/(4-x)(8x-1)
The rational equations after division is
a) A = ( 5x³ - 15x )
b) B = - ( 3x - 2 ) ( x - 4 ) ( 6 - 5x ) / ( 8x - 1 )
What is rational function equation?
A rational equation can be defined as an equation that involves at least one rational expression
A rational function is a function of the form f( x )=P( x ) / Q( x ) ,
f( x ) = P( x ) / Q( x ) , where P( x ) and Q( x ) are both polynomials.
A rational function f ( x )=P( x ) / Q( x )
f( x ) = P( x ) / Q( x ) may have a vertical asymptote
The domain is the set of all real numbers for which Q( x ) ≠ 0
Given data ,
a)
Let the first function be P ( x ) = ( 15x⁷ - 45x⁵ )
Let the second function be Q ( x ) = 3x⁴
On simplifying , we get
A = P ( x ) / Q ( x )
A = ( 15x⁷ - 45x⁵ ) / 3x⁴
A = 3x⁴ ( 5x³ - 15x ) / 3x⁴
On further simplification , we get
A = ( 5x³ - 15x )
b)
Let the first function be P ( x ) = ( 15x⁷ - 45x⁵ )
Let the second function be Q ( x ) = 3x⁴
On simplifying , we get
B = P ( x ) / Q ( x )
B = ( 3x - 2 ) ( x - 4 ) ( x - 4 ) ( 6 - 5x ) / ( 4 - x ) ( 8x - 1 )
B = - ( 3x - 2 ) ( x - 4 ) ( x - 4 ) ( 6 - 5x ) / ( x - 4 ) ( 8x - 1 )
On further simplification , we get
B = - ( 3x - 2 ) ( x - 4 ) ( 6 - 5x ) / ( 8x - 1 )
Hence , the rational equations are solved
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Pls help math NO LINKS
A Fifty dog owners and 50 people who do not own dogs are each given a test to evaluate their stress levels. Dog owners are found to have significantly lower stress levels than people who do not own dogs. Which of the following statements are true?
1. This study provides good evidence that owning a dog is effective in reducing stress.
2. It is likely that a confounding variable could be a contributing explanation for the difference between these two groups.
3. This is an observational study, not an experiment.
a. I only
b. II only
c. III only
d. II and III only
e. I and III only
Answer: 2. It is likely that a confounding variable could be a contributing explanation for the difference between these two groups.
3. This is an observational study, not an experiment.
Step-by-step explanation:
Based on the information given, the statement that's true include:
• It is likely that a confounding variable could be a contributing explanation for the difference between these two groups.
• This is an observational study, not an experiment.
It is an observational study as the researcher observed just observed the scenarios without him trying to change the people that are being exposed to it or controlling it.
Therefore, the correct options are II and III only.
What are the domain and range of the function f(x)= -log(5- x)+9?
Domain; x<5
range: 29
domain: x <5
range: (-0.co) domain: x29
range: (-0.CO)
domain: x29
range: 29
Answer:
Domain: X<5
Range: f(x)∈ R
Step-by-step explanation:
Each gram of fat is 9 calories. Each serving of cake is 700 calories. What percent of these calories are from fat?
Answer:
1.3%
Step-by-step explanation:
[tex]\frac{9}{700}[/tex]
9 ÷ 700
0.0129
0.0129 × 100
1.3%
If Anna's test grades are 66, 90, and 99, what is her test average?
Answer:
90 because it is the mean
Answer: it’s 83%
Step-by-step explanation: you add them up and divide by 3
4 statistics professors and 6 chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
You want to buy a pair of shoes that usually cost $100. Today the store is
having a sale: 20% off everything.
You also have a coupon that
promises 10% off the price at the
register. How much do you save? *
Pls help and pls show how you got it! I am very confused.
Thank you
Answer:
You saved $30
Step-by-step explanation:
20% + 10% = 30%
30% = 0.30
$100 * 0.30 = $30
$100 - $30 = $70
Hope this is helpful
2. If x is directly proportional to y^3 and x=32 when y=2, i) Find an equation
connecting x and y, ii) Find the value of x when y=6, iii) Calculate the value
of y when x=108. *
Answer:
(i)
[tex] x \alpha y {3} \\ \frac{x}{y {3} } = k[/tex]
(ii)
[tex] \frac{x}{y {3}^{} } = \frac{x}{y {3}^{} } \\ \frac{32}{ {2}^{3} } = \frac{x}{6 {}^{3} } \\ \frac{32}{8} = \frac{x}{216} \\ x = 864[/tex]
(iii)
[tex] \frac{32}{8} = \frac{108}{y {}^{3} } \\ {y}^{3 } = 27 \\ y = \sqrt[3]{27 } \\ y = 3[/tex]
Help with both of these please!
Maria is covering an entire box with 1-in. mosaic tiles and wants to find out how many square inches of mosaic files will cover the entire box. 3 in. 4 in. 9.5 in. Which statement is correct about the amount of mosaic tiles that will cover the entire box? O The amount of mosaic tiles covering the box is the surface area, which is 157 in.? O The amount of mosaic tiles covering the box is the surface area, which is 114 in.? O The amount of mosaic tiles covering the box is the volume, which is 157 in.3. O The amount of mosaic tiles covering the box is the volume, which is 114 in..
The amount of mosaic tiles covering the box is the surface area, which is 157 in.
Answer:
A
Step-by-step explanation:
You buy items costing $1000 and finance the cost with a fixed installment loan for 30
months at 4% simple interest per year.
a. What is the finance charge?
b. What is your monthly payment?
Answer:
The monthly payments will be $ 36.66, and the finance charge will be $ 100.
Step-by-step explanation:
Since I buy items costing $ 1000 and finance the cost with a fixed installment loan for 30 months at 4% simple interest per year, to determine what is the finance charge and what is my monthly payment, the following calculations must be performed:
1 year = 12 months
30 months / 12 = 2.5 years
(1000 x (1 + (0.04 x 2.5))) / 30 = X
(1000 x (1 + 0.1) / 30 = X
(1000 x 1.1) / 30 = X
1100/30 = X
36,666 = X
Therefore, the monthly payments will be $ 36.66, and the finance charge will be $ 100.
if c= the number of cars in a parking lot which algebaraic expression represents the phrase below the number of cars increased by 9
Answer:
C+9
Step-by-step explanation:
can someone please help me –4x ≤ 36
Answer:
x > -9
Step-by-step explanation:
–4x ≤ 36
Divide by -4, remembering to flip the inequality
-4x/-4 > 36/-4
x > -9
2 PEERS PLUS ANOTHRR 2 PEER
Answer:
4.
Step-by-step explanation:
2+2 equals 4. Plus sign: + you add two on both sides, therefor you get 4 as your answer.
Answer:
4 peers
Step-by-step explanation:
2 peers plus or + 2 peers equals 4 peers in total.
There u go and hope that helps!
Tomando como referencia que los ángulos opuestos por el vértice son iguales. Obtén el valor de los ángulos que se te solicitan
a = 143o
b=
c=
d=
e=
f=
g=
Answer:
??
Step-by-step explanation:
