What is the common difference in the arithmetic sequence -3, -1, 1, 3, ...?
Answer:
2
Step-by-step explanation:
The common difference in an arithmetic sequence is the difference between any two terms
So, you could start by doing -3 + d = -1
-3 + d = -1
-3 + d +3 = -1 +3
d = 3 -1
d = 2
Now test it with other terms
-1 + d = 1
Substitute
-1 +2 = 1
2 -1 = 1
1 = 1
It works!!!
If you want you can try it with 1 and 3
1 + d = 3
1 + 2 = 3
3 = 3
I hope this helps!!!!
Help me please..........
9514 1404 393
Answer:
C
Step-by-step explanation:
You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.
__
Algebraic solution
Algebraically, you can set y = -x +3, and solve for x. That gives you ...
x = 3 -y
Using the relation given at the start:
0 < x < 1
0 < 3 -y < 1 . . . . . substitute for x
Adding y gives ...
y < 3 < y+1
We can separate this into two inequalities:
y < 3, and
3 < y+1
2 < y . . . subtract 1
Now, we have ...
2 < y < 3 . . . . . the location of point C
As you can see, it is much easier to use the number line directly to find the desired point.
Who's taking geometry and can help me?
What is the solution to the system of equations shown?
y=2x+2
y=4x-2
Step-by-step explanation:
[tex]y = 2x + 2 \\ y = 4x - 2 \\ 2x = y - 2 \\ x = 0.5y - 1 \\ y = 4(0.5y - 1) - 2 \\ y = 2y - 4 - 2 \\ - y = - 6 \\ y = 6 \\ x = 0.5 \times 6 - 1 \\ x = 2[/tex]
Mrs. Smith bought 6.5 metres of lace. She used 1.3 metre to make a dress. She used the rest to make 4 cushions of the same size. How much lace did she use for each cushion, giving your answer in centimetres?
Mrs. Smith used 130 centimeters of lace for each cushion.
What are mathematical operations?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. There are five fundamental operations in mathematics: addition, subtraction, multiplication, division, and modular forms.
Given Mrs. Smith bought 6.5 meters of lace. She used 1.3 meters to make a dress. She used the rest to make 4 cushions of the same size.
Lace bought by Mrs. smith = 6.5 meters
Since she used lace in the dress = 1.3 meters
remaining lace = 6.5 - 13
remaining lace = 5.2 meters
Since she used the remaining lace to make four cushion
thus, lace required for every cushion = 5.2/4 = 1.3
therefore, she used for each cushion 130 centimeters of lace.
Learn more about mathematical operations here:
https://brainly.com/question/20628271
#SPJ2
Part A
Recall the function V that you wrote in Question 1 to represent the volume of the soil in the frame. Choose an online tool or paper to graph the
function V to identify the x-intercepts. List them in order from least to greatest.
Answer:
4321
Step-by-step explanation:
rreer5t66
Can someone help (8 grade math)
Answer:
B) 110.92 u²
Step-by-step explanation:
to find the surface area, find the area of each side and add them together.
here are all 6 sides:
4.5 * 6.8
4.5 * 6.8
4.5 * 2.2
4.5 * 2.2
2.2 * 6.8
2.2 * 6.8
4.5 * 6.8 = 30.6
4.5 * 6.8 = 30.6
4.5 * 2.2 = 9.9
4.5 * 2.2 = 9.9
2.2 * 6.8 = 14.96
2.2 * 6.8 = 14.96
30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96
110.92
Find the perimeter of the triangle shown below.
16 ft 7ft. 11ft
Answer: 34ft
Step-by-step explanation:
What is the equation of the line that passes through (4,3) and (2, -1)?
y = 6x+4
y = 1/2 x -2
y = 2x-5
y = 4x -13
c
you need to find the slope and then y intercept
m=y2-y1/x2-x1
so m=2
now y intercept
3=2(4)+b
solve for b
u get -5
therefore
y=2x-5
what fraction is equivalent to .25
Answer:
2/8
Step-by-step explanation:
Write the
following in
slope-intercept
form:
7x - 2y = -6
2y = 7x + 6 or the simplified version would be y = 7/2x + 3
Step-by-step explanation:
u just gotta know that slope intercept form is the equation y=mx+b
Every kid in Mr. Levans's 3rd grade class made a valentine for every kid in the class, including themselves. If the class made a total of 484 valentines, how many kids are in the class?
Answer:
The answer is 22
Step-by-step explanation:
please answer my question and I will mark branliest
Answer:
3/4
Step-by-step explanation:
I need this ASAP please!
8x^3 − 125y^3/(2x + 5y)3 ÷ 4x^2 + 10xy + 25y^2/4x^2 + 20xy + 25y^2
To divide by a fraction, multiply by its reciprocal.
8x^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Simplify the numerator.
Rewrite 8x^3 as (2x)^3.
(2x)^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite 125y^3 as (5y)^3.
(2x)^3 − (5y)^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Since both terms are perfect cubes, factor using the difference of cubes formula,
a^3 − b^3 = (a − b) (a^2 + ab + b^2) where a = 2x and b = 5y.
(2x − (5y)) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Multiply 5 by −1.
(2x − 5y) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Apply the product rule to 2x.
(2x − 5y) (22x^2 + 2x (5y) + (5y)^2)/(2x + 5y)3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y2
Raise 2 to the power of 2.
(2x − 5y) (4x^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite using the commutative property of multiplication.
(2x − 5y) (4x^2 + 2 ⋅ 5xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Multiply 2 by 5.
(2x − 5y) (4x^2 + 10xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Apply the product rule to 5y.
(2x − 5y) (4x^2 + 10xy + 52y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Raise 5 to the power of 2.
(2x − 5y) (4x^2 + 10xy + 25y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Cancel the common factor of 4x^2 + 10xy + 25y^2.
((2x − 5y)/(2x + 5y)^3) (4x^2 + 20xy + 25y^2)
Multiply
(2x − 5y) (4x^2 + 20xy + 25y^2)/ (2x + 5y)^3
Factor using the perfect square rule.
Rewrite 4x^2 as (2x)^2.
(2x − 5y) ((2x)^2 + 20xy + 25y^2)/ (2x + 5y)^3
Rewrite 25y^2 as (5y)^2.
(2x − 5y) ((2x)^2 + 20xy + (5y)^2)/ (2x + 5y)^3
Check that the middle term is two times the product of the numbers being squared in the first
term and third term.
20xy = 2 ⋅ (2x) ⋅ (5y)
Rewrite the polynomial.
(2x − 5y) ((2x)2 + 2 ⋅ (2x) ⋅ (5y) + (5y)2)/(2x + 5y)^3
Factor using the perfect square trinomial rule a^2 + 2ab + b^2 = (a + b)^2, where a = 2x and b = 5y.
(2x − 5y) (2x + 5y)^2/ (2x + 5y)^3
Cancel the common factor of (2x + 5y)^2 and (2x + 5y)^3.
Factor (2x + 5y)^2 out of (2x − 5y) (2x + 5y)^2.
(2x + 5y)^2 (2x − 5y) / (2x + 5y)^3
Cancel the common factors.
2x − 5y / 2x + 5y
Answer:
This may be wrong but: (2x - 5y) ((2x)^2 + 10xy + (5y)^2) over (2x + 5y) (4x^2 + 10xy + 25y^2)
Step-by-step explanation:
Need Help Please answer and Find the measure of the exterior angle of the triangle.
Answer:
20
Step-by-step explanation:
Answer:
y°=70
Step-by-step explanation:
the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°
this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°
so y°=70°
you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle
Can y’all plz help me with this
Answer:
If I did my math right it should be 10.20
Step-by-step explanation:
-78.55 + 128.75 = 50.2
50.2 - 40 = 10.2
And then obviously just add the zero at the end bc its money
A multiple choice quiz has two questions , each with five answer choices. Only one choice is correct. Find the probability of answering two questions correctly,
. Show work
Answer:
1/25 to get both correct
Step-by-step explanation:
So the probability of getting one choice correct is 1/5
Since 5 choices 1 is correct
now we have to get 2 in a row correct so
1/5*1/5=1/25
De un bote con 180 caramelos Laura se ha comido una decima parte, Marta una novena parte y Cristina una quinta parte. De lo que queda, Juan se ha comido la mitad. ¿ Cuantos caramelos quedan?
Answer:
53 caramelos
Step-by-step explanation:
El número total de caramelos en el frasco = 180 caramelos
Para Laura
Laura se ha comido la décima parte de un frasco
1/10 × 180 caramelos = 18 caramelos
Por Marta
Marta una novena
1/9 × 180 = 20 caramelos
Por Cristina
Cristina una quinta.
1/5 × 180 = 36 caramelos.
De lo que queda, Juan se ha comido la mitad.
La cantidad de caramelos que quedan se calcula como:
180 - (18 + 20 + 36)
= 180 - 74
La cantidad de caramelos que quedan = 106 caramelos
Para juan
De lo que queda, Juan se ha comido la mitad.
= 1/2 × 106
= 53 caramelos
¿Cuántos dulces quedan?
= 106 caramelos - 53 caramelos
= 53 caramelos
Por tanto, quedan 53 caramelos.
hi someone please help this is really urgent !!!
picture is attached pls help <3
Answer:
it can be answer that it could be posstive
Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate pane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V2 and the aquarium in Kate's sitting room.
A. 1 units
B. √101
C. √221
D. 11 units
Answer:
V2 has more room than the Aquarium.
Step-by-step explanation:
an = 3.5 +2.8 (n-1)
f(n) =
Answer:
f(n) = 2.8n + 0.7
Step-by-step explanation:
The form of the linear function is f(x) = m x + b, where
x is the inputf(x) is the outputLet us solve the question
∵ The rule of the arithmetic sequence is a[tex]_{n}[/tex] = 3.5 + 2.8(n - 1), where
a[tex]_{n}[/tex] is the nth term ⇒ outputn is the number of the term ⇒ input→ To write it as a function replace a[tex]_{n}[/tex] by f(n)
∵ a[tex]_{n}[/tex] = f(n)
∴ f(n) = 3.5 + 2.8(n - 1)
→ Simplify the right side to make it in the form of the function above
∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)
→ Remember (+)(-) = (-)
∴ f(n) = 3.5 + 2.8n - 2.8
→ Add the like terms in the right side
∵ f(n) = 2.8n + (3.5 - 2.8)
∴ f(n) = 2.8n + 0.7
Solve for y: 2x^2+2y=4x+2x^2-7. Show your work
Answer:
y = 2x - 3.5
Step-by-step explanation:
2x² + 2y = 4x + 2x² - 7
2y = 4x + 2x² - 7 - 2x²
2y = 4x - 7
y = (4x - 7) / 2
y = 2x - 3.5
2x² + 2y = 4x + 2x² - 7
4x + 2y = 4x + 2x² - 7
4x + 2y = 4x + 4x - 7
4x+2y=8x-7
2y = 4x - 7
What is the product of (y + 3) and (7y – 1)?
Answer: =7y^2+20y−3
Step-by-step explanation:
A bag of chips costs $3.79 including tax. Mr. Connor wants to purchase chips for his class and has a $15 budget. Write an inequality to solve for the number of bags of chips Mr. Connor can purchase with his budget. (2 points)
. Solve; 2x+96=182 hurry due in 5 mins
Move all terms that don't contain x to the right side and solve.
x = 43
Answer:
x=43
Step-by-step explanation:
2x+96=182
2x=86 (Subtract 96 from 182)
x=43 (Divide 86 by 2)
I need help I don't understand
Answer:
Step-by-step explanation:
Angle LPR and Angle PLN are supplementary to one another
9x+26+5x=180
Combine like terms
14x+26=180
Subtract 26 from both sides
14x=154
Divide 14 on both sides
x=11
Hope it helped :))
Tran has a coin jar that contains nickels, dimes, and quarters. There are 185 coins in the jar. There are 5 more dimes than quarters. If the total value of the coins in the jar is $25.25 how many quarters does the jar contain?
Answer:
[tex]63[/tex]
Step-by-step explanation:
Let number of nickels be [tex]x[/tex]
Number of dimes be [tex]y[/tex]
Number of quarters be [tex]z[/tex]
Total number of coins is [tex]185[/tex]
[tex]x+y+z=185[/tex]
Number of dimes is 5 more than quarters
[tex]y=5+z[/tex]
[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]
Amount of money in the jar is $25.25
[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]
[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]
[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]
[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]
So, the number of quarters is [tex]63[/tex].
Answer:
63 is the correct answer :)
Step-by-step explanation:
Hello someone please help me
Answer:
C = {-5,2,5} answer
Step-by-step explanation:
ccccccc
The line L passes through the points (0, –2) and (6, 1).
Find an equation of the line L.
Answer:
an equation of the line L will be: y = 1/2x - 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(0, -2)(6, 1)Determining the slope between (0, -2) and (6, 1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]
[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]
[tex]m=\frac{1}{2}[/tex]
The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the point (0, -2), we can determine that at x = 0, the value of y = -2.
Thus,
The y-intercept b = -2
now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation
y = mx+b
y = 1/2x + -2
y = 1/2x - 2
Therefore, an equation of the line L will be: y = 1/2x - 2
which of the following is geometric sequence?
Answer:
Choice C
Step-by-step explanation:
A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.
Choice A:
[tex]1^{+3},4^{+1},5^{+4},9^{+5},14[/tex]
Nope that's not what we're looking for.
Choice B:
[tex]3^{+3},6^{+3},9^{+3},12^{+3},15[/tex]
This would be a perfect arithmetic sequence but not the type of sequence we are looking for.
Choice C:
[tex]6^{*3},18^{*3},54^{*3},162[/tex]
Yes! See how this one is multiplying by 3 and not adding or subtracting.
Choice D:
[tex]3^{+2},5^{+3},8^{+5},13^{+7},21[/tex]
Nope this is not it either.
