Answers
Answer:
y = 4x + 8
Step-by-step explanation:
1) Find slope:
y2-y1/x2-x1
12-8/1-0 = 4/1 = 4
Slope = 4
2) Plug in a point in point-slope form
y-y1=m(x-x1)
y-8=4(x-0) =
y-8=4x-0 -> add 8 to both sides
y=4x+8
Related Questions
A new DVD player has a purchase price of $430. With the extended warranty, the total cost is $512. What percent of the purchase price is the price of the warranty? a. 16% b. 19% c. 24% d. 29% Please select the best answer from the choices provided A B C D.
Answers
The percent of the purchase price that is the price of the warranty is: b. 19%.
Using this formula
Purchase price percent=Total cost-Purchase price/Purchase price
Where:
Total cost=$512
Purchase price=$430
Let plug in the formula
Purchase price percent=$512-$430/$430
Purchase price percent=$82/$430
Purchase price percent=0.19×100
Purchase price percent=19%
Inconclusion the percent of the purchase price that is the price of the warranty is: b. 19%.
Learn more about purchase price here:https://brainly.com/question/6076645
f(x)=x^2-3, find f(-2),f(4),and f(0)
f(-2)=
f(4)=
f(0)=
Answers
Step-by-step explanation:
f(-2)= -2^2-3= -7
f(4)= 4^2-3= 13
f(0)=0^2-3= -3
What is the estimate height of 129.3
Answers
Solve the equations below. Give exact solutions only. Show your work.
a) 5x^2 - 7 = 72
b) x(x + 2) = 5
c) 3x^2 + 2x - 4 = 0
Please help!
Answers
Step-by-step explanation:
remember, the general formula to solve a quadratic equation ax² + bx + c = 0 is
x = (-b ± sqrt(b² - 4ac))/(2a)
a)
I think there is a typo, and this should be
5x² - 7x = 72
5x² -7x - 72 = 0
x = (7 ± sqrt(49 - -1440))/10 = (7 ± sqrt(1489))/10
x1 = (7 + sqrt(1489))/10
x2 = (7 - sqrt(1489))/10
b)
x(x + 2) = 5
x² + 2x - 5 = 0
x = (-2 ± sqrt(4 - -20))/2 = (-2 ± sqrt(24))/2 =
= (-2 ± sqrt(4×6))/2 = (-2 ± 2×sqrt(6))/2 =
= -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
c)
3x² + 2x - 4 = 0
x = (-2 ± sqrt(4 - -48))/6 = (-2 ± sqrt(52))/6 =
= (-2 ± sqrt(4×13))/6 = (-2 ± 2×sqrt(13))/6 =
= (-1 ± sqrt(13))/3
x1 = (-1 + sqrt(13))/3
x2 = (-1 - sqrt(13))/3
Solve the inequality.
-7x - 4 > 17
Answers
Answer:x<-3
Step-by-step explanation:
Answer:
x < -3
Step-by-step explanation:
[tex]-7x-4>17\\\\-7x-4+4>17+4\\\\-7x>21\\\\\frac{-7x}{-7}>\frac{21}{-7}\\\\x<-3[/tex]
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 50, 0, negative 6, negative 4, negative 6, 0. Use the table to complete the statements. The x-intercepts shown in the table are and. The y-intercept shown in the table is.
Answers
Answer:
Use the table to complete the statements.
The x-intercepts shown in the table are
(–2, 0)
and
(2, 0
.
The y-intercept shown in the table is
(0, –4)
.
Step-by-step explanation:
What is an included angle and an included side?
A: Included Angle: A 90 deg angle
Included Side: The longest
side
B: Included Angle: An angle between two angles
Included Side: A side between two sides
C: Included Angle: An angle between two sides.
Included Side: A side between two angles
Answers
Answer:
C
Step-by-step explanation:
[tex] \sf \huge{ question \hookleftarrow}[/tex]
If [tex] \alpha \: and \: \beta [/tex] are roots of a equation " ax² + by + c ", then find the value of the following in terms of a , b and c ~
[tex] \boxed{ \boxed{ \sf \sqrt{ \alpha} + \sqrt{ \beta } = \: ?}}[/tex]
Answers
[tex]\underline{\bf{Given \:equation:-}}[/tex]
[tex]\\ \sf{:}\dashrightarrow ax^2+by+c=0[/tex]
[tex]\sf Let\:roots\;of\:the\: equation\:be\:\alpha\:and\beta.[/tex]
[tex]\sf We\:know,[/tex]
[tex]\boxed{\sf sum\:of\:roots=\alpha+\beta=\dfrac{-b}{a}}[/tex]
[tex]\boxed{\sf Product\:of\:roots=\alpha\beta=\dfrac{c}{a}}[/tex]
[tex]\underline{\large{\bf Identities\:used:-}}[/tex]
[tex]\boxed{\sf (a+b)^2=a^2+2ab+b^2}[/tex]
[tex]\boxed{\sf (√a)^2=a}[/tex]
[tex]\boxed{\sf \sqrt{a}\sqrt{b}=\sqrt{ab}}[/tex]
[tex]\boxed{\sf \sqrt{\sqrt{a}}=a}[/tex]
[tex]\underline{\bf Final\: Solution:-}[/tex]
[tex]\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}[/tex]
[tex]\bull\sf Apply\: Squares[/tex]
[tex]\\ \sf{:}\dashrightarrow (\sqrt{\alpha}+\sqrt{\beta})^2= (\sqrt{\alpha})^2+2\sqrt{\alpha}\sqrt{\beta}+(\sqrt{\beta})^2[/tex]
[tex]\\ \sf{:}\dashrightarrow (\sqrt{\alpha}+\sqrt{\beta})^2 \alpha+\beta+2\sqrt{\alpha\beta}[/tex]
[tex]\bull\sf Put\:values[/tex]
[tex]\\ \sf{:}\dashrightarrow (\sqrt{\alpha}+\sqrt{\beta})^2=\dfrac{-b}{a}+2\sqrt{\dfrac{c}{a}}[/tex]
[tex]\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}=\sqrt{\dfrac{-b}{a}+2\sqrt{\dfrac{c}{a}}}[/tex]
[tex]\bull\sf Simplify[/tex]
[tex]\\ \sf{:}\dashrightarrow \underline{\boxed{\bf {\sqrt{\boldsymbol{\alpha}}+\sqrt{\boldsymbol{\beta}}=\sqrt{\dfrac{-b}{a}}+\sqrt{2}\dfrac{c}{a}}}}[/tex]
[tex]\underline{\bf More\: simplification:-}[/tex]
[tex]\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}=\dfrac{\sqrt{-b}}{\sqrt{a}}+\dfrac{c\sqrt{2}}{a}[/tex]
[tex]\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}=\dfrac{\sqrt{a}\sqrt{-b}+c\sqrt{2}}{a}[/tex]
[tex]\underline{\Large{\bf Simplified\: Answer:-}}[/tex]
[tex]\\ \sf{:}\dashrightarrow\underline{\boxed{\bf{ \sqrt{\boldsymbol{\alpha}}+\sqrt{\boldsymbol{\beta}}=\dfrac{\sqrt{-ab}+c\sqrt{2}}{a}}}}[/tex]
The value [tex]\sqrt{\alpha } +\sqrt{\beta }[/tex] in terms of a, b and c is [tex]\sqrt{{(\frac{b}{a})^2 } +2\sqrt{\frac{c}{a} } } \\[/tex]
Roots of a quadratic equation
Given the quadratic equation ax² + bx + c, the sum and product of the roots are expressed as:
[tex]\alpha +\beta =-\frac{b}{a} [/tex][tex]\alpha \beta =\frac{c}{a} [/tex]Get the value of the radical expression [tex]\sqrt{\alpha } +\sqrt{\beta } [/tex]
Taking the square of the expression will give:
[tex](\sqrt{\alpha } +\sqrt{\beta } )^2=(\sqrt{\alpha } )^2+(\sqrt{\beta } )^2+2\sqrt{\alpha \beta} [/tex]Take the square root of both sides:
[tex]\sqrt{(\sqrt{\alpha } +\sqrt{\beta } )^2} =\sqrt{(\sqrt{\alpha } )^2+(\sqrt{\beta } )^2+2\sqrt{\alpha \beta} } \\ \sqrt{\alpha } +\sqrt{\beta }=\sqrt{{(\alpha }+{\beta} )+2\sqrt{\alpha \beta} } \\[/tex]
Substitute the product and the sum values into the expression to have:
[tex]\sqrt{\alpha } +\sqrt{\beta }=\sqrt{{(-\frac{b}{a})^2 } +2\sqrt{\frac{c}{a} } } \\\sqrt{\alpha } +\sqrt{\beta }=\sqrt{{(\frac{b}{a})^2 } +2\sqrt{\frac{c}{a} } } \\[/tex]
Hence the value [tex]\sqrt{\alpha } +\sqrt{\beta }[/tex] in terms of a, b and c is [tex]\sqrt{{(\frac{b}{a})^2 } +2\sqrt{\frac{c}{a} } } \\[/tex]
Learn more on the roots of equation here: https://brainly.com/question/25841119
Describe the translation in j(x)=(2x)+3 as it relates to the graph of the parent function?
Answers
Answer:
Horizontal compression by a factor of 2 followed by a vertical shift by positive 3
Step-by-step explanation:
a*f(k(x-d))+c
k=2
c=3
winch one is biger
4/9 0r 1/12
Answers
Answer:
4/9
Step-by-step explanation:
I did the butterfly method to see which one is the bigger one
Answer:
4/9
Step-by-step explanation:
23 base 10+1011 base 2=
Answers
Answer:
10111
Step-by-step explanation:
10111
Find the value of x
Answers
Answer:
x = 8Step-by-step explanation:
is an isosceles triangle, so 12 = x + 4
12 = x + 4
x = 12- 4
x = 8
----------------
check
12 = 8 + 4
12 = 12
the answer is good
Some please help me I’ll give you brainlist answer
Answers
Answer:
Step-by-step explanation:
The area of the square is 3 units by 3 units. because the area of a square is side length squared.
side length = 3
side length^2 = 3 * 3 = 9
The area of a circle is much harder to reason out. You could start with the area of a square and use the diameter is 3 units. But the corners are rounded and you don't know off hand what the area of one of them is, let alone all 4. You are given a formula for circles area, but you have no real idea what the formula actually means. Does it take the corner area into account? At the beginning levels, we don't know.
Answer:
The area of the square is 9 aka [tex]3^{2}[/tex]
You can find it easily by just counting the number of squares inside the square, or by counting the number of squares at its length then multiplying it by its width; so 3 x 3 = 9
It wouldn't be as easy to find the area of the circle because you don't have the radius, nor diameter, so basically, no quantitative values could be used to at least guess.
Find the perimeter and area of the figure below.
Answers
Answer:
A: 312 P: 80
Step-by-step explanation:
Answer:
A=120, P=60
Step-by-step explanation:
ASAP HELP *Can a triangle have sides with the given lengths? Explain, showing all the work
9 cm, 11 cm, 15 cm
please Explain
Answers
Answer:
yes
Step-by-step explanation:
For the sides to form a triangle , then the sum of any 2 sides must be greater than the third side
9 + 11 = 20 > 15
9 + 15 = 24 > 11
11 + 15 = 24 > 9
The 3 sides given will form a triangle
Note that
The length of any two sides must be greater than the third side
So
9+11=16>1511+15=26>99+15=24>11Yes it's a triangle
i need help with this problem, but i don't want someone to just give me the answer. i need it to be taught step-by-step to me because for some reason i can't understand how everyone tells me to do it. i need to learn this as I've been on this one test for the past 2 weeks. I've been trying to find a tutor or something that will actually help me the way i need to be helped. so please, just give me a simple answer that will help me with the 3 other questions after it.
the lesson name is called solving real world systems of equations via elimination.
here is the question:
jared bought 7 cans of paint. a can of red paint costs 3.75. a can of black paint costs 2.75. jared spent 22.25 in all. how many cans of black (b) and how many cans of red (r) did he buy?
r+b=7
3.75 + 2.75 = 22.25
this is a lesson in 8th grade math.
Answers
Answer:
Hallo, I will help you with the problem T^T
Step-by-step explanation:
3.75r + 2.75b = 22.25
3.75r = The amount a red can costs, MULTIPLIED BY the amount of red cans they bought!
2.75b = The amount a black can costs, MULTIPLIED BY the amount of black cans they bought!
So this means that they bought:
3 cans of red paint.
And 4 cans of black paint.
Now you may be thinking, how do you know?
If you multiply the COST 3.75, by 3 cans of red paint, you get 11.25
And then if you multiply the COST of the black paint (The cost for a can of black paint is 2.75) multiply that by 4, you get 11 :0
So add 11 + 11.25 and you get 22.25 :]
Comment if you have any questions, no matter how insignificant you think they may be, I will help you :]
Will mark brainly!! :)
Answers
Answer:
(2,1)
Step-by-step explanation:
The answer is (2,1)
PLEASE HELP!!
This is worth 20 points please help me!
Answers
what is the next term in the number pattern? 77, 64, 53, 44, 37
Answers
Answer:
32
...when you subtract five from 37
It is a pattern that goes:
-13
-11
-9
-7
and now -5 = 32
What two expressions are equivalent to 6.5 divided by 1.3?
Answers
Answer:
65/13
650/130
Step-by-step explanation:
6.5/1.3
times 10: 65/13
times 100: 650/130
Last week antione had a begging balance of $90 in his account he wrote 3 checks for $10 each from his checking account , withdrew another $20 and finally made a deposit of $100. Write an expression that shows his final account balance at the end of the week
Answers
Answer:
$140
Step-by-step explanation:
90-(3x10)-20+100= 140
He started with $90: (90)
Then he wrote 3 checks of $10 each: -(3x10)
Then he withdrew $20: -20
Finally, he made a deposit of $100: +100
Thus, our equation would be: 90-(3x10)-20+100=
(You might want to simplify this expression; giving you 140)
Challenge question? Thanks.
Answers
Answer:
x=15
Step-by-step explanation:
the basic property is: AB/AD=BC/CD, for more info see the attachment.
The cost of an Uber is $8.00 plus $1.25 per
mile. Write a function, f(x), to determine the cost of an x-mile Uber ride.
Answers
Answer:
Cost = 8 + 1.25x
Step-by-step explanation:
What are the domain and range of the function below? Domain[0, ∞). range (-∞, ∞). Domain[0, ∞). Range (-∞,4). Domain(0,4). Range (-∞, ∞). Domain(-∞,4]. Range[0, ∞).
HELP IMMEDIATELY PLEASE
Answers
Answer:
Domain[0, ∞). Range (-∞,4).
Step-by-step explanation:
domain is your lowest x (zero) to your highest x (infinity)
range is the lowest y (negative infinity) to your highest y (four)
Answer:
its b
Step-by-step explanation:
Helpppppppppp asappppppppp 20 points
Answers
Here’s a small hint: “miles per hour”
Put the amount of miles over the amount of hours then calculate the amount from there! It’s either the 2nd option or the 4th one! Hope it’s helpful!
Answer:
i say its c
Step-by-step explanation:
Please help!!!!!!!!!!!!!
Answers
Because based on the image you add 9 and subtract 3
Hope you find this helpful!
Brainliest is much appreciated!
Answer:
B and C
Step-by-step explanation:
look at comments
PT. 4 OF MY HW! STILL UNIT RATE
Answers
Answer: plant 1 grows at a faster rate
Step-by-step explanation:
What is the simplified expression for 6^4.6^3 over 6^5
6^1
6^2
6^3
6^7
Answers
Answer:
6^2Step-by-step explanation:
Question:-To simplify the given expression Expression:-[tex] \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]Solution:-[tex] = \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]
[As we know, a^x . a^y = a^(x+y)][tex] = \frac{ {6}^{(4 + 3)} }{ {6}^{5} } [/tex]
[On Simplification][tex] = \frac{ {6}^{7} }{ {6}^{5} } [/tex]
[As we know, a^x / a^y = a^(x-y)][tex] = {6}^{(7 - 5)} [/tex]
[On Simplification][tex] = {6}^{2} (ans)[/tex]
Convert 45 mi/hr to feet per minute
Answers
Answer:
3960
Step-by-step explanation:
multiply 45 by the amount of feet in a mile (5280)
take that answer and divide in by how many minutes are in an hour
a) A triangular plot is being constructed having its base twice to its altitude. What will be the base and altitude of the plot if the cost of levelling it at the rate of ₹25 per square meter is ₹11,025.
b)If the same plot from above question is being reconstructed into a square field, having the same area, then find the perimeter of square
THE BEST ANSWER WILL BE MARKED BRAINLIEST PLEASE GIVE PROPER ANSWER
THANK U
Answers
The base and altitude of the triangular plot are [tex]42m[/tex] and [tex]21m[/tex] respectively.
The perimeter of the square plot having the same area as the triangular plot is [tex]84m[/tex]
a) Calculate the base and altitude of the triangular plot
The relationship between the Total cost of leveling the triangular plot, the cost per unit area, and the area of the triangular plot is
[tex]\text{unit cost}=\frac{\text{total cost}}{\text{area}}\\\\\text{area}=\frac{\text{total cost}}{\text{unit cost}}\\\\=\frac{\text{11025Rs.}\rupee}{25Rs./m^2}=441m^2[/tex]
The formula for calculating the area of a triangle, given the base and altitude is
[tex]\text{area of triangle}=\frac{1}{2}\text{base}\times\text{altitude}[/tex]
From the question
[tex]\text{base}=2\times\text{altitude}[/tex]
so
[tex]\text{area of triangle}=\frac{1}{2}\times 2\times\text{altitude}\times\text{altitude}\\\\\text{area of triangle}=\text{altitude}^2\\441=\text{altitude}^2\\\text{altitude}=\sqrt{441}=21m[/tex]
from this we can get the base
[tex]\text{base}=2\times\text{altitude}\\=2\times21m=42m[/tex]
b) Calculate the perimeter of a square plot having the same area
Since we found the area of the triangular plot to be [tex]441m^2[/tex], we will use this value for the area of the square plot, so that we can obtain the side
[tex]\text{area of square plot}=side^2\\441=side^2\\\sqrt{441}=side=21m[/tex]
Hence, the perimeter is equal to
[tex]perimeter=4\times side\\=4\times21=84m[/tex]
Learn more about area here: https://brainly.com/question/1447350