Answer:
Y = -4x + 1
Step-by-step explanation:
1. We know the equation of a line is y=mx+b.
2. using the slope formula, [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], to find the slope. -12 / 3 = -4, so the slope is -4.
3. we need to find the Y intercept, or the Y coordinate at X=0. if at x=1 the Y is -3, and the slope is -4, then if we go down to x=0 then the Y would be 4 higher. therefore the Y intercept is 1.
4. now we can make the equation; Y = -4x + 1
Type the correct answer in each box. If necessary, use / for the fraction bar.
Complete the statements about series A and B.
Series A: 10 + 4 +8/5 + 16/25 + 13/125 + ...
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...
Series (a or b) has an r value of (blank) where 0<|r|<1. So, we can find the sum of the series. The sum of the series is (blank)
Answer:
Step-by-step explanation:
Given two series A and B;
Series A: 10 + 4 +8/5 + 16/25 + 13/125 + ...
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...
Both series are geometric series since they have the same common ratio. Given the geometric series T₁, T₂, T₃, T₄..., the common ratio r is expressed as [tex]\frac{T_2}{T_1} =\frac{T_3}{T_2} =\frac{T_4}{T_3} = r[/tex].
a) For series A, Given T₁ = 10, T₂ = 4, T₃ = 8/5 and T₄ = 13/125
Its common ratio is expressed as [tex]\frac{4}{10} =\frac{8/5}{4} =\frac{13/125}{8/5} = 2/5[/tex]
Hence the common ratio of series A is 2/5
The sum to infinity of the geometric series will be expressed as [tex]s_\infty = \dfrac{a}{1-r}[/tex]
Note that the sum to infifnity is used since the series is tending to infinity.
a is the first term if the series = 10
r - 2/5
On substituting this values into the formula;
[tex]s_\infty = \dfrac{10}{1-2/5} \\\\s_\infty = \dfrac{10}{3/5} \\\\s_\infty = 10* 5/3\\s_\infty = 50/3[/tex]
Hence the sum of the series is 50/3
b) For the series B;
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...
The common ratio of the series is expressed as shown;
[tex]\frac{3/5}{1/5} =\frac{9/5}{3/5}= \frac{27/5}{9/5 } = r\\ r = (3/5 * 5/1) = 9/5*5/3 = 27/5*5/9 = 3[/tex]
Hence its common ratio is 3.
Sun of the series is expressed similarly as:
[tex]s_\infty = \frac{a}{1-r}\\ s_\infty = \frac{1/5}{1-3}\\\\s_\infty = \frac{1/5}{-2}\\\\[/tex]
[tex]s_\infty = 1/5 * -1/2\\s_\infty = -1/10[/tex]
Hence the sum of series B is -1/10
Use the diagram below to answer the questions.
Which are shown on the diagram? Check all that apply.
JL
KM
JK
PK
LJK
MJ
Answer:B, C, & F
Step-by-step explanation:
got correct on edge
KM, JK, PK, and MJ are shown on the diagram. Then the correct options are B, C, D, and F.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
A line segment in mathematics has two different points on it that define its boundaries.
All the line segments will be
JK, JM, KM, MP, PK, and KL
The triangle KPM.
And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.
Then the correct options are B, C, D, and F.
More about the coordinate geometry link is given below.
https://brainly.com/question/18269861
#SPJ2
Can someone help me with this math problem
Answer:
B. (m-1)(m-8)
Step-by-step explanation:
The factors of 8 (constant term) are
{(1,8), (2,4)}, from which we see that 1+8 = 9, the absolute value of the coefficient of the second term.
Therefore we can group the expression as
m^2 - 9m + 8
= m^2-m - (8m -8)
then factor each group
= m(m-1) - 8(m-1)
and factor out (m-1)
= (m-1)(m-8)
simplified?
[tex]5 \sqrt{ - 8r} [/tex]
Im just confused on how the negative 8 will play out, and same with the non exponential variable.
Answer:
[tex]10i\sqrt{2r}[/tex].
Step-by-step explanation:
[tex]5\sqrt{-8r}[/tex]
= [tex]5\sqrt{-1 * 2 * 2 * 2 * r}[/tex]
= [tex]5i\sqrt{2^2 * 2 * r}[/tex] (i = the square root of -1)
= [tex]5i * 2\sqrt{2 r}[/tex]
= [tex]10i\sqrt{2r}[/tex]
Hope this helps!
Which relation is a function? {(–4, –6), (–3, –2), (1, –2), (1, 0)} {(–2, –12), (–2, 0), (–2, 4), (–2, 11)} {(0,1), (0, 2), (1, 2), (1, 3)} {(8, 1), (4, 1), (0,1), (–15, 1)}
Answer:
[tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]
Step-by-step explanation:
Given
[tex]\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}[/tex]
[tex]\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}[/tex]
[tex]\{(0,1), (0, 2), (1, 2), (1, 3)\}[/tex]
[tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]
Required
Determine which is a function
A relation is divided into 2; (x,y)
Where x represents the range and y stands for the domain
For a relation to be a function, the x column must be unique; in other words, there must be only one occurrence of x
Testing each of the given options
A. [tex]\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}[/tex]
Start by splitting the relation into x and y columns
[tex](x,y)[/tex]
[tex](-4, -6)[/tex]
[tex](-3, -2)[/tex]
[tex](1, -2)[/tex]
[tex](1, 0)[/tex]
Notice that the third and fourth relation has the same x value of 1;
Hence, this is not a function
B. [tex]\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}[/tex]
Start by splitting the relation into x and y columns
[tex](x,y)[/tex]
[tex](-2, -12)[/tex]
[tex](-2, 0)[/tex]
[tex](-2, 4)[/tex]
[tex](-2, 11)[/tex]
Notice that all relations has the same x value of -2;
Hence, this is also not a function
C. [tex]\{(0,1), (0, 2), (1, 2), (1, 3)\}[/tex]
Start by splitting the relation into x and y columns
[tex](x,y)[/tex]
[tex](0, 1)[/tex]
[tex](0, 2)[/tex]
[tex](1, 2)[/tex]
[tex](1, 3)[/tex]
Notice that the first and second relation has the same x value of 0 and the third and fourth relation has the same x value of 1;
Hence, this is also not a function
D. [tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]
Start by splitting the relation into x and y columns
[tex](x,y)[/tex]
[tex](8, 1)[/tex]
[tex](4, 1)[/tex]
[tex](0, 1)[/tex]
[tex](-15, 1)[/tex]
Notice that relation has the unique x values of 8, 4, 0 and -15
Hence, this relation is a function
Find the value of x. A. 45 B. 30 C. 6 D. 15
Answer:
answer is b
Step-by-step explanation: i am sure of it
Answer:
D. 15
Step-by-step explanation:
Both equations need the same end result because this is a square:
3x - 15 = 45 - x =
3x - 3x = 45 - x - 3x
0 = 45 - 4x
4x = 60
4x/4 = 60/4 =
X = 15
Check:
3(15) - 15 = 45 - 15
45 - 15 = 45 - 15
30 = 30
John and Maria also want to put new tile in their living room. The floor measures 20 feet long by
20 feet wide. The tiles they want to purchase cost $2.25 each, and each tile covers exactly 1 square
foot of floor space. How much will they need to spend on tile? (Section 10.8) (1 point)
Answer:
$900
Step-by-step explanation:
First, find the area of the floor with the equation A = lw
A = lw
A = (20)(20)
A = 400 ft²
Since each tile covers 1 sq ft and the floor's area is 400 sq ft, they will need 400 tiles.
To calculate the total cost, multiply 400 by 2.25
400(2.25) = 900
= $900
-1.68j+1.24=13 need help thanks
Answer:
-7
Step-by-step explanation:
-1.68j+1.24=13
-1.68j=13-1.24
-1.68j=11.76
j=11.76/-1.68
j=-7
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------------
Answer: j = -7
You can also rewrite the equation(replace "j" with the answer):
-1.68(-7) + 1.24 = 13.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
How I solved it:
-1.68j + 1.24 = 13.
We subtract 1.24 from both sides.
-1.68j = 13 - 1.24
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-1.68j = 13 - 1.24
We subtract 1.24 from 13 to get 11.76.
-1.68j = 11.76
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-1.68j = 11.76
We then divide both sides by -1.68.
j = [tex]\frac{11.76}{-1.68}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Expand [tex]\frac{11.76}{-1.68}[/tex] ≈ -7 by multiplying both the numerator and the denominator by 100.
j = [tex]\frac{1176}{-168}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Divide 1176 by -168 to get -7.
PLEASE HELP!! I WILL GIVE BRAINLIEST AND 16 POINTS!!
Complete the equation of the line through (3,-1) and (4,7). Use exact numbers. What does "y" equal?
Answer:
lets start with finding the slope
m=7-(-1)/4-3
m=8
now we can choose either of the 2 points given and the slope and plug that into the point slope form
y-7=8(x-4)
y-7=8x-32
y=8x-25
and that is your equation
Answer:
y = 8x - 25
Step-by-step explanation:
The equation of a line is y = mx + b
To find the slope use y2-y1/x2-x1
When you plug it in it will be 7 + 1/4 - 3 (8)
Now it is y = 8x + b
Lastly you need to plug in a coordinate to the equation to find b
7 = 8(4) + b (-25)
Select the correct answer.
Simplify.
V96
Answer:
[tex]4 \sqrt{6}[/tex]
Step-by-step explanation:
The question is not properly presented and has mission options; however, the solution is as follows
Given
[tex]\sqrt{96}[/tex]
Required
Simplify
[tex]\sqrt{96}[/tex]
Start by expanding
[tex]\sqrt{16 * 6}[/tex]
The expression can be split to:
[tex]\sqrt{16} * \sqrt{6}[/tex]
Take positive square root of 16
[tex]4 * \sqrt{6}[/tex]
[tex]4 \sqrt{6}[/tex]
The expression cannot be further simplified
What are the restrictions of the domain of f(g(x))?
a) x is not equal to -5
b) x is not equal to -3
c) x is not equal to 2
d) There are no restrictions.
Help and show work plz
Answer:
NQ=15, NP=20
Step-by-step explanation:
9/(2x+1)=12/(3x-1)
cross product
12(2x+1)=9(3x-1)
24x+12=27x-9
12=27x-24x-9
12=3x-9
3x=12+9
3x=21
x=21/3
x=7
NQ=2x+1=2(7)+1=15
NP=3x-1=3(7)-1=21-1=20
Answer:
x = 7
Step-by-step explanation:
Since the triangles are similar the ratio of the sides must be the same
AB AK
------- = --------------
QN NP
9 12
---------- = ------------
2x+1 3x-1
Using cross products
9(3x-1) = 12(2x+1)
Distribute
27x -9 = 24x +12
Subtract 24x from each side
3x-9 = 12
Add 9 to each side
3x = 21
Divide by 3
x = 7
The coefficient of 8.2 N is
8
2
16
Answer:
2
Step-by-step explanation:
A coefficient is the number placed before the variable. The variable gets multiplied by the coefficient.
The format is not exactly clear with the expression in the question.
Assuming the expression is '8 * 2n', the coefficient would be 2.
'n' is getting multiplied by '2'.
'8' does not have a variable next to it, so it is just a term in the expression.
The product of 8 and 2 is 16. 16 is not in the expression.
If the expression was '8.2n', 8.2 would be the coefficient.
Brainilest Appreciated.
Four letters are selected at random with replacement from the word MATHCOUNTS. What is the probability that the letters in the order they are selected will form the word MATH?
So "MATHCOUNTS" has 10 letters.
And "MATH" has 4 letters.
So the probability of you getting the letters "M" "A" "T" "H" is 4/10 or 2/5.
But it has to be in order...
There are 32 ways you can arrange the 4 letters. There is only 1 way you can write "MATH"
So 1/32 probability of 2/5 is 2/160 or 1/80
The probability of getting the word MATH is 1/80
What is Probability ?The study of likeliness of an event to happen is probability .
It is given that
Total letters in MATHCOUNTS : 10 letters.
Total chances of getting letter M , A , T , H is 4
Probability of getting the letters M , A , T , H is 4/10
= 2 /5
The probability of getting the word MATH is 1
And the total number of ways the letters can be arranged is 2⁴
= 32
The probability of getting the word MATH is
= 1 /32 * 2 /5
=1/80
Therefore , The probability of getting the word MATH is 1/80
To know more about Probability
https://brainly.com/question/11234923
#SPJ2
Nine and one half less than four and one half times a number is greater than 62,5. Which of the following represents
the solution set of this problem?
O (16,400)
O (-16,400)
o (-0,16)
o (-00,-16)
Answer: (16,O0) That is 16 to positive infinity
Step-by-step explanation:
4.5x - 9.5 > 62.5
4.5x > 62,5 + 9.5
4.5x > 72
x > 72/ 4.5
x> 16
So all real numbers greater than 16 is the solution set.
(16,O0)
I wish I had the infinity symbol on this keyboard!
PLEASE HELP!! A 5×5×5 wooden cube was painted and then sawed into 1×1×1 cubes. How many 1×1×1 cubes have exactly two faces painted?
Answer:
36
Step-by-step explanation:
There would be three on each edge. (Five, minus the two ends that have 3 sides painted.)
A cube has 12 edges.
12x3=36
Draw a net of the triangular prism and label each face with its surface area. Use the net of the three-dimensional triangular prism to find the surface area of the solid. 13 points
Answer:
300 yards squared
Step-by-step explanation:
Triangle area = 12 x 5 / 2 = 30
2 Triangles (because there are two of them) = 60
Big rectangle = 8 x 13 = 104
Small Rectangle = 8 x 5 = 40
Medium Rectangle = 96
Add all up = 300
Hope that helped!!! k
Of a group of boys and girls at Central Middle School’s after-school party, 15 girls left early to play in a volleyball game. The ratio of boys to girls then remaining was 2 to 1. Later, 45 boys left for a football game. The ratio of girls to boys was then 5 to 1. How many students attended the party?
Answer:
90
Step-by-step explanation:
Let g and b represent the number of girls and boys attending, respectively.
After 15 girls left, the ratio of boys to girls was ...
b/(g -15) = 2/1
b = 2g -30 . . . . . multiply by (g-15)
__
After 45 boys left, the ratio of girls to boys was ...
(g -15)/(b -45) = 5/1
g -15 = 5b -225 . . . . . . multiply by (b-45)
g = 5b -210
Using the latter to substitute into the former, we have ...
b = 2(5b -210) -30
450 = 9b . . . . . add 450-b
50 = b . . . . . . 50 boys attended
g = 5(50) -210 = 40 . . . . . 40 girls attended
The number of students who attended the party was 50 +40 = 90.
_____
Check
After 15 girls left, the ratio of boys to girls was 50/25 = 2/1.
After 45 boys left, the ratio of girls to boys was 25/5 = 5/1.
Answer:
let b = original number of boys
let g = original number of girls
:
Of a group of boys and girls at Central Middle School's after-school party, 15 girls left early to play in a volleyball game.
The ratio of boys to girls then remaining was 2 to 1.
b%2F%28%28g-15%29%29 = 2%2F1
Cross multiply
b = 2(g-15)
b = 2g - 30
:
Later, 45 boys left for a football game. The ratio of girls to boys was then 5 to 1.
%28%28g-15%29%29%2F%28%28b-45%29%29 = 5%2F1
cross multiply
g - 15 = 5(b-45)
g - 15 = 5b - 225
g = 5b - 225 + 15
g = 5b - 210
Replace b with (2g-30)
g = 5(2g-30) - 210
g = 10g - 150 - 210
g = 10g - 360
360 = 10g - g
360 = 9g
g = 360/9
g = 40 girls originally
find b
b = 2(40) - 30
b = 50 boys originally
" How many students attended the party?"
40 + 50 = 90 students
HELP!!! SHOW WORK PLEASE.
[tex]\dfrac{x}{4}=\dfrac{x+9}{4+12}\\\\16x=4(x+9)\\16x=4x+36\\12x=36\\x=3[/tex]
Reflections, rotations, and translations are types of transformations. A reflection flips an image, a rotation spins an image, and a translation slides an image. Draw a shape on a piece of paper and cut it out. Then, flip it, spin it, and slide it. Explain how each transformation affects the size and shape of the image you drew. IDK how to answer this PLS HELP
Answer:
Hey there!
A "flip" can be considered a reflection.
A "spin" is a rotation.
A "slide" is a translation.
None of these transformations change the way a shape looks, or the size of the shape. They only change how the shape is oriented.
Let me know if this helps :)
In this exercise we have to differentiate three geometric terms, in this way we can say that;
Flip is considered a reflection. Spin is a rotation. Slide is a translation.
So in a more in-depth way these geometric terms can be described as:
Flip: the established term, exist a static or exciting concept namely produce by a mirror-reversal of an original across a lying flat point around which something revolves (a fail miserably image happen reflect across the upright point around which something revolves)Spin: When two surfaces bear many point correspondences, they equal. Taken together, the familiarize points and befriend figure create our surface repre-sentation. Because the image era process maybe visualized as a page make go around about the common of a point, the counterpart fashionable our likeness happen named spin-images.Slide: A move smoothly show happen a presentation of a succession of still figure (slides) ahead of a projection screen or photoelectric display symbol, usually fashionable a prearranged series. The changes grant permission exist automatic and repeatedly or they grant permission happen manually controlled by a person who entertains or the witness.See more about geometry at brainly.com/question/7558603
The graph of f(x) = xx is reflected across the x-axis and then across the y-axis to create the graph of function g(x).
Which statements about the functions f(x) and g(x) are true? Check all that apply.
The functions have the same range.
The functions have the same domains.
The only value that is in the domains of both functions is 0.
There are no values that are in the ranges of both functions.
The domain of g(x) is all values greater than or equal to 0.
The range of g(x) is all values less than or equal to 0.
Answer:C and F are correct
Step-by-step explanation:
got it right on edge
PLEASE HELP PLEASE WILL MARK BRAINLY
Answer:
16,20,8,36
Step-by-step explanation:
he plans to have 2 tables for every 8 guest, which means 1 table for each 4 guest!
now:
2(tables)×4(number of people at each table)=8(number of guests
4×4=16
5×4=20
32(number of guests)÷4(number of people at each table)=8(number of tables)
9×4= 36
Answer:
Since there are 8 guests every 2 table we need to find how many guests are in one table:
8 ÷ 2 = 4 guests
4 tables = 4 x 4 = 16 guests
5 tables = 5 x 4 = 20 guests
32 guests = 32 ÷ 4 = 8 tables
9 tables = 9 x 4 = 36 guests
Hope this helps :D
What is the area of a regular hexagon with perimeter 24? A) 8sqrt3 B) 12sqrt3 C) 16sqrt3 D) 24sqrt3
Answer: C) 16
Step-by-step explanation:
A Hexagon has 6 Sides and Since the perimeter is 24, each side has a length of 4.
4 * 4 = 16
Please help I'll give you brainliest! Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = 3 Find: AC
Answer:
3 uhhh i have to write 20 letters so aha nice
In triangle PQR, m∠P = 83°, PQ = 7.6, and PR = 8.6. What is m∠R to the nearest degree? A. 45° B. 55° C. 35° D. 41°
Answer:
The unknown measurement of angle R to the nearest degree is 41°
Step-by-step explanation:
As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.
in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.
So, our equation will look like this.
[tex]tanx=\frac{7.6}{8.6}[/tex]
Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.
[tex]x=\frac{7.6}{8.6}(tan^-^1)[/tex]
Now, we solve. You can use a calculator to do these calculations.
The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.
Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.
Which temperature during the week is farthest from 0? Explain how you decided this using absolute value.
Which is the coldest temperature? Explain how you determined this using the number line.
Which is the warmest temperature? Explain how you determined this using the number line.
Part 2: Weather Report
Use the information from the analysis and develop a weather report. You can develop a flyer or make a presentation, video or audio recording of yourself, or script. Use your creativity! Make sure to include the information from all six questions.
we need a picture of the weather data
What is -8.64 -0.024?
360
- 36
-360
36
Answer:
(-8.64) / (-0.024) = 360
Step-by-step explanation:
You have to type like this in your question;
(-8.64) / (-0.024)
or [tex]\frac{-0.024}{-8.64}[/tex].
Bye!
Explain how I would rewrite 3^5 * 3^-4 as a base an exponent
Answer:
3^1 or 3
3^5 * 3^-4 are 3^5-4
so, 3^1!
Hope it helps!
Answer:
3^1
Step-by-step explanation:
Since the bases are the same and we are multiplying we can add the exponents
a^b * a^c = a^(b+c)
3^5 * 3^-4
3^ (5+-4)
3^1
Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday. The cost of the pizza and soft drinks before sales tax and tip was $47.96. What is the amount of sales tax for the bill if the rate is 7%? Show your work.
Step-by-step explanation:
Since the original price is $47.96 and bill rate is 7%, $47.96 × 1.07 ≈ $51.32
Answer:
$51.32
The amount of sales tax for the bill if the rate is 7% will be $3.36.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday.
The cost of the pizza and soft drinks before sales tax and tip was $47.96.
Then the amount of sales tax for the bill if the rate is 7% will be
⇒ $47.96 x 0.07
⇒ $3.36
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ5
*PLEASE ANSWER* The volume of this fish tank needs to be doubled.
Answer:
Of course the answer is 2.
It says 'Double'!
The required scale factor is 2 in a manner to double the volume of the fish tanks. Option A is correct.
The figure is shown of the fish tank, a scale factor to be determined that is applied to the dimensions so the volume becomes twice the former volume.
Volume is defined as the ratio of the mass of an object to its density.
The volume of the fish tank = v
Now new the volume of the new fish tank = 2v
Scale factor = New volume/old volume
= 2v/v
= 2
Since the scale factor is 2 the dimension of new fish tank should be doubled to get twice the volume of the old fish tank.
The required scale factor is 2 in a manner to double the volume of the fish tanks. Option A is correct.
Learn more about a volume here:
https://brainly.com/question/1578538
#SPJ5
