Answer:
The equation in slope-intercept form is[tex]y=\frac{5}{2}x-5[/tex]
The equation in the standard form will be:[tex]\frac{5}{2}x-y=5[/tex]
Step-by-step explanation:
The x-intercept is obtained when we set the value y=0As the x-intercept is 2, therefore the point representing
the x-intercept will be: (2, 0)
The y-intercept is obtained when we set the value x=0As the y-intercept is -5, therefore the point representing
the y-intercept will be: (0, -5)
So we get the two points
(2, 0)
(0, -5)
Finding the slope between (2, 0) and (0, -5)
[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-5-0}{0-2}[/tex]
[tex]m=\frac{5}{2}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here m is the slope
substituting the values m = 5/2 and the point (2, 0)
[tex]y-0=\frac{5}{2}\left(x-2\right)[/tex]
so writing the equation in slope-intercept form
As we know that the slope-intercept form is
[tex]y=mx+b[/tex]
here
m = gradient or slop b = y-interceptso
[tex]y=\frac{5}{2}\left(x-2\right)[/tex]
[tex]y=\frac{5}{2}x-5[/tex]
Hence, the equation in slope-intercept form is
[tex]y=\frac{5}{2}x-5[/tex]
Writing the equation in the standard form form
As we know that the equation in the standard form is
[tex]Ax+By=C[/tex]
where x and y are variables and A, B and C are constants
As we already know the equation in slope-intercept form
[tex]y=\frac{5}{2}x-5[/tex]
so the equation in the standard form will be:
[tex]\frac{5}{2}x-y=5[/tex]
Find the 12th term of the geometric sequence 2, 10,50,...
The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.
Geometric sequence:Important information:
Given geometric sequence is 2, 10,50,...We need to find the 12 th term.
In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].
The nth term is:
[tex]a_n=ar^{n-1}[/tex]
Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.
The 12th term is:
[tex]a_{12}=2(5)^{12-1}[/tex]
[tex]a_{12}=2(5)^{11}[/tex]
[tex]a_{12}=97656250[/tex]
Therefore, the 12th term of the geometric sequence is 97656250.
Find out more about 'Geometric sequence' here:
https://brainly.com/question/17321783
Answer: 97656250.
Step-by-step explanation:
dm
LAST ONE I NEED HELP ON PLEASE
Answer:
A
Step-by-step explanation:
First you find the volume of the cube which is 512. Then you find the volume of the cone which is 133.97333333 and so on. Lastly you subtract 512 by 133.973333333 (and so on) which is 378.026667. Rounded the answer would be 378.0 which is answer A.
Plz mark brainliest!!! I spent lot of time on this.
Anyone in 10th grade geometry I could really use a partner to help me with it please?! :)
Answer:
I can help
Step-by-step explanation:
I'm in honors classes
Choose the graph below that represents the following system of inequalities:
y ≥ −3x + 1
y ≤ 1/2 x + 3
Answer:
the following system of inequalities:
y ≥ −3x + 1
y ≤ (1/2)x + 3
using a graph tool
see the attached figure
the answer is the option
B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line
Step-by-step explanation:
Determine the equation of the line given by the graph.
A) y = 3x + 2
B y = 3x - 2
C y-1/3x+2
D y=1/3x-2
-4/7 + 2/7 x –14x + 4/7
Problem 1
Select all of the ordered pairs (x, y) that are solutions to
the linear equation 2x + 3y = 6.
(Select all that apply.)
(0,2)
(0,6)
(2,3)
(3,-2)
(3,0)
(6, -2)
After substituting the given values of x and y in the equation, all that can apply are (0, 2), (3, 0), and (6, -2).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
The given equation is,
2x + 3y = 6
Now, substitute the corresponding points and check,
1. For points (0, 2)
2(0) + 3(2) = 6
6 = 6, this is correct.
2. For points (0, 6)
2(0) + 3(6) = 18
6 ≠ 18, this is incorrect.
3. For points (2, 3)
2(2) + 3(3) = 6
13 ≠ 6, this is incorrect.
4. For point (3, -2)
2(3) + 3(-2) = 6
0 ≠ 6, this is incorrect.
5. For point (3, 0)
2(3) + 3(0) = 6
6 = 6, this is correct.
6. For point (6, -2)
2(6) + 3(-2) = 6
6 = 6, this is correct.
To know more about equation:
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solve: -3 |x-3| = -6
how do i solve absoulute value ?
Answer:
x=5,1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Expand and simplify 6(2x - 3) – 2(2x + 1)
Answer 8x - 20
Step-by-step explanation:
6(2x - 3) - 2(2x + 1)
Distribute
6(2x) -6( 3) - 2(2x) -2( 1)
12x -18 -4x -2
Combine like terms
12x -4x -18 -2
8x-20
The solution to the system of equation below is (−2, −1).
2x − 3y = −1
11x − 9y = −13
When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.
Which system of equations will also have a solution of (−2, −1)?
5x = −10
11x − 9y = −13
2x + 9y = −1
11x − 9y = −13
−6x + 9y = −1
11x − 9y = −13
−6x + 3y = −1
5x = −10
Which system of equations will also have a solution of (−2, −1)?
Answer:
I'm pretty sure it's 5x= -10
Answer:
5x = −10
11x − 9y = −13
took test edg 2021
calculeaza,grupand convenabil factori
8x7x0 3x7x2 5x8x2
7x4x2 5x10x5 4x9x2
2x9x5 10x9x9 2x3x7
Step-by-step explanation:
1. 0
2. 42
3. 80
4. 48
5. 250
6.64
7. 90
8. 180
9. 42
is that answer able?
Step-by-step explanation:
do you want the answer to those questions or is it just one question built in with those
H shows the ratio of pencils to pens sold at the school bookstore. If the bookstore sells 15 pencils, what is the ratio of pencils to pens sold written as a fraction?
Answer:
[tex]Ratio = \frac{3}{2}[/tex]
Step-by-step explanation:
See attachment for complete question.
We start by solving for the equation of the graph (The graph shows a linear equation)
Represent pencils with x and pen with y
From the graph, we have that:
[tex](x_1,y_1) = (6,4)[/tex]
[tex](x_2,y_2) = (12,8)[/tex]
Solve for slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8 - 4}{12- 6}[/tex]
[tex]m = \frac{4}{6}[/tex]
[tex]m = \frac{2}{3}[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = \frac{2}{3}[/tex]
[tex](x_1,y_1) = (6,4)[/tex]
[tex]y - 4 = \frac{2}{3}(x - 6)[/tex]
[tex]y - 4 = \frac{2}{3}x - \frac{2}{3} * 6[/tex]
[tex]y - 4 = \frac{2}{3}x - \frac{2 * 6}{3}[/tex]
[tex]y - 4 = \frac{2}{3}x - \frac{12}{3}[/tex]
[tex]y - 4 = \frac{2}{3}x - 4[/tex]
Add 4 to both sides
[tex]y - 4 +4= \frac{2}{3}x - 4 + 4[/tex]
[tex]y= \frac{2}{3}x[/tex]
Now, to the question.
When pencils is 15 implies that
[tex]x = 15[/tex]
Solving for x, we have:
[tex]y= \frac{2}{3}x[/tex]
[tex]y= \frac{2}{3} * 15[/tex]
[tex]y= \frac{2* 15}{3}[/tex]
[tex]y= \frac{30}{3}[/tex]
[tex]y= 10[/tex]
i.e. Pen = 10
Ratio = x ; y
[tex]x : y = 15 : 10[/tex]
Convert to fraction
[tex]\frac{x}{y} = \frac{15}{10}[/tex]
Simplify
[tex]\frac{x}{y} = \frac{3}{2}[/tex]
Hence,
[tex]Ratio = \frac{3}{2}[/tex]
Answer:
3/2 :)
Step-by-step explanation:
What is the slope of у= 3х — 9
Answer:
3?
Step-by-step explanation:
3 is the slope intercept I believe
Michael spends a half hour adding water to his pool part of the time at a rate of 15 gallons per minute and the rest of the time at a rate of 9 gallons per minute. Let t be the time in minutes that he adds water at the faster rate write an algebraic expression to represent the total number of water added to the pool
Answer:
24t + 270 gallons
Step-by-step explanation:
Given that :
Addition rate 1 = 15 gallons per minute
Addition rate 2 = 9 gallons per minute
Total time spent adding water = half an hour = 30 minutes = 0.5 hour
Time spent adding water at faster rate = t
Time spent addition water at slower rate = (30 - t)
Total number of water added to the pool :
Amount of water added = addition rate * time
Hence,
Amount of water added at faster rate :
(15 gal / min) * t = 15t gallons
Amount added at slower rate :
(9 gal / min) * (30 - t) = (270 - 9t) gallons
Total amount of water added to the pool:
15t gallons + (270 - 9t)gallons
15t + 270 + 9t
24t + 270 gallons
A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes
Complete question is;
A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
Answer:
A) (d/9) + 900 + (d/6) = 1080
B) d = 648 ft
Step-by-step explanation:
A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.
Time taken is given as;
t = distance/speed
If distance is d from the hive to the flower bird.
Then, t1 = d/9
The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.
We are told that the bee flew directly back to the hive at 6 feet per second.
Thus,time is;
t3 = d/6
Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s
Thus;
(d/9) + 900 + (d/6) = 1080
B) Since we have derived;
(d/9) + 900 + (d/6) = 1080
Then we can find d.
Multiply through by 18 to get;
2d + (900 × 18) + 3d = 1080 × 18
2d + 16200 + 3d = 19440
5d = 19440 - 16200
5d = 3240
d = 3240/5
d = 648 ft
Wassup peeps!!! I need help cuz im kinda stupid.
A line that includes the points (10,–3) and (9,t) has a slope of –7. What is the value of t?
Pls, help me?
Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.
Answer:
See Explanation
Step-by-step explanation:
Given
Rectangle A:
[tex]Length: 10\ in[/tex]
[tex]Width: 8\ in[/tex]
Required
Determine the possible dimensions of Rectangle B
The question has missing options; however, the question can still be solved.
Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B
Take for instance, the measurements of Rectangle B are
[tex]Length: 15 in[/tex]
[tex]Width: 12 in[/tex]
Divide the corresponding lengths of B by A to get the enlargement ratio
[tex]Ratio = \frac{B}{A}[/tex]
For length:
[tex]Ratio = \frac{15}{10}[/tex]
[tex]Ratio = 1.5[/tex]
For width
[tex]Ratio = \frac{12}{8}[/tex]
[tex]Ratio = 1.5[/tex]
Notice that both ratios are the same.
For this measurement of B, we can conclude that B is an enlargement of A
Assume another measurements for B
[tex]Length: 20\ in[/tex]
[tex]Width: 10\ in[/tex]
Calculate Ratios
[tex]Ratio = \frac{B}{A}[/tex]
For length:
[tex]Ratio = \frac{20}{10}[/tex]
[tex]Ratio = 2[/tex]
For width
[tex]Ratio = \frac{10}{8}[/tex]
[tex]Ratio = 1.25[/tex]
Notice that, both ratios are not equal.
For this measurement of B, we can conclude that B is not an enlargement of A
Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy
which situation can be represented by the expression -27 4/5+50?
Answer:
22.2
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
Below sea level = -x
Above sea level = x
Just read it carefully
Desde la parte más alta de un edificio a 25 m una persona lanza hacia la base un objeto de 150 g con una velocidad de 0.8 m por segundo calcula la energía mecanica total
Answer:
[tex] E_{T} = 36.84 J [/tex]
Step-by-step explanation:
La energía mecánica total está dada por:
[tex] E_{T} = E_{c} + E_{p} [/tex]
[tex] E_{T} = \frac{1}{2}mv^{2} + mgh [/tex]
En donde:
m: es la masa = 150 g
v: es la velocidad = 0.8 m/s
h: es la altura = 25 m
g: es la gravedad = 9.81 m/s²
[tex] E_{T} = \frac{1}{2}mv^{2} + mgh = \frac{1}{2}0.15 kg*(0.8 m/s)^{2} + 0.15 kg*9.81 m/s^{2}*25 m = 36.84 J [/tex]
Por lo tanto, la energía mecánica total es 36.84 J.
Espero que te sea de utilidad!
3. During a particular year, 42 graduating boys chose to attend a 4-year college,
while 58 boys attended a 2-year college; 84 girls chose a 4-year college, and 16
attended a 2-year college. What conclusion can be drawn about how gender and
choice of college are related?
Answer:
girls are more likely to choose a 4-year college, while boys are more likely to choose a 2-year college
Step-by-step explanation:
hope this helps :]
What is the value of x?
X=
Step-by-step explanation:
[tex]{:}\longrightarrow[/tex][tex]\sf 13x-12=7x-6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 13x-7x=-6+12 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 6x=6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{6}{6}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=1 [/tex]
.Factor the expression using the GCF.
8y - 6x
Answer:
2(4y - 3x)
Step-by-step explanation:
every 5 days alma rides her skateboard in the park every 4 days she bikes to her best friends house how often does alma do both
Answer:
In what time frame. It asks how often she does both but does that mean in a week or another span of time?
Step-by-step explanation:
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
Answer:
50
Step-by-step explanation:
5 times 5 =25
25 times 2 =50
The table shows the height of water in las pool as it is
being filled
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
O The height of the water increases 2 inches per
minute
O The height of the water decreases 2 inches per
minute.
O The height of the water was 2 inches before any
water was added
The height of the water will be 2 inches when the
pool is filled
Solve.
4 - 2x = 10
A)-7
B)-3
C)0
D)3
Answer: The answer should be B) -3. To solve the equation you have to rewrite the equation.
Brian bought a jacket that cost d dollars. He paid the clerk $60,00 He received $7.39
in change. How much did Brian pay for the jacket?
Answer:
52.61 is what Brian payed for the Jacket.
Step-by-step explanation:
52.61 + 7.39 = 60$ in total.
Answer:
ok so a jacket would never cost 60,00 i think you meant 60.00 so it would be $52.61 for the jacket
Step-by-step explanation:
Subtract 7.39 from 60
if you really did mean 60000 the answer would be 5992.61
What system of equations can be used to ring s, the cost in dollars of each standard photo and w, the cost in dollars of each wallet photo ?
Answer:
A
Step-by-step explanation:
Suponga que le piden averiguar cuán alto es un poste de luz, su mejor
momento es durante la tarde en un día soleado, si la única herramienta
que tiene es una cinta métrica de 5m ¿cómo haría para saber con la
mayor exactitud posible el tamaño del poste?
Answer:
gtdnuf fjgdyj gudchu hfvhd gjsjck
grixbedfb hvdb kgtd kggyan samera hhgv bcc
Pls answer soon lol.
................................................
(95)×(3×10^4 )
Answer:
2.85 × 10^6
Step-by-step explanation:
Answer:
2850000
Step-by-step explanation: