Answer:
An equation in the slope-intercept form will be:
[tex]y=-\frac{1}{2}x+0[/tex]
Step-by-step explanation:
Given the points
(4, -2)(2, -1)Finding the slope between the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(4,\:-2\right),\:\left(x_2,\:y_2\right)=\left(2,\:-1\right)[/tex]
[tex]m=-\frac{1}{2}[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
substituting the values m=-1/2 and the point (4, -2) to determine the y-intercept i.e. 'b'.
[tex]y=mx+b[/tex]
[tex]-2=-\frac{1}{2}\left(4\right)+b[/tex]
[tex]\frac{1}{2}\cdot \:4+b=-2[/tex]
[tex]-2+b=-2[/tex]
[tex]b=0[/tex]
Now, substituting the values b=0 and m=-1/2 to determine the equation in the slope-intercept form.
[tex]y=mx+b[/tex]
[tex]y=-\frac{1}{2}x+0[/tex]
Thus, an equation in the slope-intercept form will be:
[tex]y=-\frac{1}{2}x+0[/tex]
help me please lol......
Its the fourth option, as, sin^2A + cos^2A = 1
so, sin^2A = 1 - cos^2A
A department store buys 300 shirts at a cost of $5,400 and sells them at a selling price of $20 each. Find the percent markup.
Answer:It is $2 markup price.
Step-by-step explanation:
Suppose you invest $3500 at annual interest rate of 2.5 % How much money do you have in the account after five years?
Round two decimal places.
compounded monthly $ ____
compounded weekly $ _____
Answer:
Please check the explanation.
Step-by-step explanation:
To find the amount we use the formula:
[tex]A=P\cdot \left(1+\frac{r}{n}\right)^{nt}[/tex]
Here:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
Given
P=$3500
r=2.5%
n=12
t = 5 years
Calculating compounded monthly
After plugging in the values
[tex]A=3500\left(1+\frac{2.5\%\:}{12}\right)^{12\cdot \:5}[/tex]
[tex]A=3500\left(1+\frac{0.025}{12}\right)^{12\cdot \:5}[/tex]
[tex]A=3500\cdot \frac{12.025^{60}}{12^{60}}[/tex]
[tex]A = 3959.93[/tex]
Thus, If you deposit $3500 into an account paying 2.5% annual interest compounded monthly, you will have $3959.93 after five years.
Calculating compounded weekly
n = 52
[tex]A=3500\left(1+\frac{2.5\%\:}{52}\right)^{52\cdot \:5}[/tex]
[tex]A=3500\left(1+\frac{0.025}{52}\right)^{52\cdot \:5}[/tex]
A = 3,965.90
Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded weekly, you will have $3,965.90 after five years.
In a school, 50% of students are younger of students younger than 10, 1/2 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining of students are 12 years or older. How many students are 10 years old?
Answer:
jddossjienrufhddddhdudjdj
I GIVE BRAINLIEST AS WELL NOW
Answer:
ur a god
Step-by-step explanation:
extraextraextra
Answer: thanks for the points
Step-by-step explanation:
-35.88 not sure if division or adding ........
Answer:
-13.8
Step-by-step explanation:
You're dividing, the definition of quotient is the product of two numbers that you're dividing, thank me later.
-35.88/2.6 = -13.8
If you need the work for this please do let me know.
Find the area of the parts
Answer:
Area = 105
Step-by-step explanation:
A curve has a gradient function
(2x^3 - 9)/10
The point P is a point on the curve.
The tangent to the curve at the point P is perpendicular to the line
2x - 5y + 3 = 0
Work out the x-coordinate of P
Answer:
The answer I came up with here brings to question how I solved it. To double check the wording of the question though, the tangent to the curve is indeed perpendicular to that line and not parallel?
The answer I found is 5i√(1/6), which makes me think I made a mistake at one point.
Step-by-step explanation:
First we need to know the slope of the tangent at point p. This is perpendicular to the slope of the given line. So first, let's rearrange that line into the format y = sx + c:
[tex]2x - 5y + 3 = 0\\5y = 2x + 3\\y = \frac{2}{5}x + \frac{3}{5}[/tex]
The line then has a slope of 2/5, meaning that a perpendicular slope would be -5/2.
Next, we can take the derivative of the curve:
[tex]y = (2x^3 - 9) / 10\\= x^3/5 - 9/10\\\frac{dy}{dx} = 3x^2/5[/tex]
Finally, we match that perpendicular slope we found:
[tex]-5/2 = 3x^2 / 5\\-25 / 6 = x^2\\x = \sqrt{-25/6}\\x = 5i\sqrt{1/6}\\[/tex]
The fact that I ended up with an imaginary number makes me think I hit an error there. I suggest you double check this yourself. I'm fairly certain that the logic here is correct.
Which property is used in the following expression ? 5(2 + 7) = 10 + 35
Answer:
That equation is using associative property : )
Step-by-step explanation:
In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=". The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables, while in English, any equality is an equation.
simplify 3a^2+14-17a-12a^2+11a+6a
Answer:
-9a^2+14
Step-by-step explanation:
what is 11 divided by 924 explain in long division
Answer:
84 with 0 R (remainders)
Step-by-step explanation:
0 8 4
1 1 9 2 4
− 0
9 2
− 8 8
4 4
− 4 4
0 R
Answer:
84
Step-by-step explanation:
Math answers to fraction 924 divided by 11 can be calculated as follows.
924/11 math problems division = 84. Therefore 84 to 2 decimal places= 84
924/11 divided by 2 » (924/11) ÷ 2 » 84 ÷ 2 = 42 .
Choose the properties that can be used to rewrite 2(a+5)-4 as 2a+6
1(distributive property)
2(commutative property)
3(associate property)
Answer:
Distributive property
Step-by-step explanation
The properties that can be used to rewrite 2(a+5)-4 as 2a+6 is distributive property
Distributive property of multiplicationGiven the integers A, B and C, we will have:
A(B + C) = AB + BC
This shows that A is distributed over C
Given the expression
2(a + 5) - 4
Distribute the value of 2 over a and 5 to have:
2a + 2(5) - 4
2a + 10 - 4
2a +6
Hence the properties that can be used to rewrite 2(a+5)-4 as 2a+6 is distributive property
Learn more on distributive property here: https://brainly.com/question/2807928
#SPJ2
2
4x + 1
13x+4
2
X +13x
Step-by-step explanation:
Let's simplify step-by-step.
24x+113x+42x+13x +
Combine Like Terms:
=24x+113x+42x+13x
=(24x+113x+42x+13x)
=192x
Description:
The first step of this equation is to simplify. So to simplify an equation we would first solve/simplify it then we will combine like terms. After that the answer will end up 192x . So 2 4x + 1 13x+4 2 X +13x = 192x .
Answer: =192x
Hope it helps.
L Pretest Unit 2
Question 9 of 20
Solve 8x + c = k for x.
A. X =
k+c
8
B. x = 8(k+ c).
C. x=
k-c
D. x = 80k -c)
SUS
Answer:
A. x = k+c/8
Step-by-step explanation:
Might be the most accurate answer based on what I see above.
Since you are solving for x, you would first subtract c on both sides to get 8x = k - c. From there are on out, you would then divide 8 on both sides to get your final answer which is x = k+c/8.
Answer:
Work done below!
Step-by-step explanation:
8x + c = k
Subtract c from both sides;
8x = -c + k
Divide both sides by 8;
[tex]x = -\frac{1}{8}c +\frac{1}{8}k[/tex]
What is the possible amount of his store credit (number 5)
Answer:
D probably
Step-by-step explanation:
it's just what I think
Help! I've been trying to work this out for a while and I still don't understand it!
Answer:
Pick two points from the graph. X1 y1 and x2 y2. Example points from your graph:
(4,1) and (-4,3)
x1=4
y1=1
x2=-4
y2=3
Step-by-step explanation:
To find slope take the points you got from graph and put it into the equation y2-y1/x2-x1
3-1/-4-4=-2/8=-1/4
Then take that slope u got and plug into this equation to find equation of the line
y-y1=m(x-x1)
y-1=-1/4(x-4)=y-1=1/4x+(1/4)(4)
y-1=-1/4x+1
+1 +1
——————
y=-1/4x+2 ANSWER CHECK
m=slope! Which is -1/4
y=-1/4x+2 is your answer!!
2 T
carni
ticke
1 Brothers Bruce and Jack are
looking for books at the library.
Bruce wants to get 4 more than
twice the number of books Jack
checks out. Bruce and Jack will check
out a total of 25 books. Let x be the
number of books Bruce checks out
and y be the number of books
Jack
checks out.
What are the system of equation?
Answer:
Step-by-step explanation:
The system of linear equations would be x = 2y + 4 and x + y = 25 if Brothers Bruce and Jack are looking for books at the library.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Brothers Bruce and Jack are looking for books at the library.
Bruce wants to get 4 more than twice the number of books Jack checks out.
Let x be the number of books Bruce checks out and y be the number of books Jack
The equation would be:
x = 2y + 4
x + y = 25
Thus, the system of linear equations would be x = 2y + 4 and x + y = 25 if Brothers Bruce and Jack are looking for books at the library.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
1) Angles 4 and 5 are congruent because they are an example of what kind of special angle pair? (pic below)
A. corresponding angles
B. alternate interior angles
C. same-side interior angles
D. vertical angles
Answer:
B. Alternate Interior Angles
Step-by-step explanation:
Answer:
= answer is option B alternate interior angles....
What is the value of the expression below?
53.53×102
Answer:
5460.06
Step-by-step explanation:
plz help! (will make brainliest!)
Answer:
Min: 143
Q1: 150
Med: 161
Q3: 168
Max: 180
Step-by-step explanation:
The line in the box means median, The line furthest to the right is the highest number, the line furthest to the left is the lowest number. The lines that create the box are (from left to right) the first quartile and the third quartile.
The answer from left to right:
143
152
161
168
180
2(x+y) - x^2+y^2 factorise
Answer:
[tex]\bf{(x + y) \times (2+y-x)}[/tex]
Explanation:
Given Expression :-[tex] \sf{ 2(x+y) - x^2+y^2}[/tex]Steps to factorise :-[tex]\longrightarrow\:\:\sf{2(x+y) - x^2+y^2}[/tex]
Use the commutative property to reorder the terms[tex]\longrightarrow\:\:\sf{2(x+y)+y^{2}-x^{2}}[/tex]
Using a²-b² = (a-b) (a+b), factor the expression[tex]\longrightarrow\:\:\sf{2(x+y)+(y-x)\times (y+x)}[/tex]
Factor out x+y from the expression[tex]\longrightarrow\:\:\bf{(x + y) \times (2+y-x)}[/tex]
What expression is equivalent to -3(4x - 2) - 2x
Answer:
-14x+6
Step-by-step explanation:
first, we distribute the -3.
-3(4x - 2) - 2x=-12x+6-2x
than, we conbide like terms
-12x+6-2x=-14x+6
Is (x + 7) a factor of f(x) = x3 − 3x2 + 2x − 8
Answer:
no
Step-by-step explanation:
If (x + h) is a factor of f(x) then f(- h) = 0
Thus if (x + 7) is a factor of f(x) then f(- 7) = 0
f(- 7) = (- 7)³ - 3(- 7)² + 2(- 7) - 8
= - 343 - 147 - 14 - 8 = - 512 ≠ 0
Since f(- 7) ≠ 0 then (x + 7) is not a factor of f(x)
If f() = x+5 and g(x) = 5x + 4, what is [fo gl(6)?
O 34
209
O 1,161
O 1,394
will mark as brainly please help me !!!
Answer:
D) 1394
Step-by-step explanation:
I neeeddd helpppppp please
Answer:
I’m a go with not congruent
Step-by-step explanation:
Reason being that those line segments can’t be made there is no S side. This is just a guess unless i forgot something.
Solve using the quadratic formula.
x² + 12x - 5=0
Fill in the next term in the sequence.
What is the length of the midsegment of this trapezoid? Enter your answer in the box. units Trapezoid A B C D on the coordinate plane. The vertices of the trapezoid are A begin ordered pair negative 11 comma 3 end ordered pair, B begin ordered pair 0 comma 3 end ordered pair, C begin ordered pair negative 1 comma negative 2 end ordered pair, and D begin ordered pair negative 8 comma negative 2 end ordered pair.
9514 1404 393
Answer:
9 units
Step-by-step explanation:
The top base has a length that is the difference between the x-coordinates of points A and B:
0 -(-11) = 11
The bottom base has a length that is the difference between the x-coordinates of points C and D:
-1 -(-8) = 7
The mid-segment has a length that is the average of the base lengths:
(11 +7)/2 = 18/2= 9 . . . units; midsegment length
Answer:
9 units
Step-by-step explanation:
Verified correct with test results.
If the scale factor of a dilation is 4/3 the image will be a reduction of the pre-image, because 4/3 is a fraction less than one.
O True
O False
HELPP!!
-5 (4x - 6)..........
Answer: -20x+30
Explanation:
multiply -5 with the numbers in the parenthesis
-5 · 4x and -5 · 6
-20x+30
if you are asked to simplify then, -2x+3. Although, I doubt they asked for it to be simplified. Hope this helps!
