Answer:
3, 8, 13, 18, 23
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 18 and a₉ = 43 , then
a₁ + 3d = 18 → (1)
a₁ + 8d = 43 → (2)
Subtract (1) from (2) term by term, eliminating a₁
5d = 25 ( divide both sides by 5 )
d = 5
Substitute d = 5 into (1) for value of a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3 , then
a₂ = a₁ + 5 = 3 + 5 = 8
a₃ = a₂ + 5 = 8 + 5 = 13
a₄ = a₃ + 5 = 13 + 5 = 18
a₅ = a₄ + 5 = 18 + 5 = 23
The first 5 terms are 3, 8, 13, 18, 23
I don't get this please help
What is the justification for each step in the solution of the equation?
5x−4/2=2x−1
Select from the drop-down menus to correctly justify each step.
5x−42=2x−1 Given
5x−4=2(2x−1) Choose...
5x−4=4x−2 Choose...
5x=4x+2 Addition or Subtraction Property of Equality
x=2 Choose...
Options
Addition or subtraction property of equality
Multiplication or division property of equality
Distributive property of equality
Combine like terms
The "/" Is for a fraction.
Answer:
5x-2=2x-1
5x-2x=-1+2
3x=1
3/3x=1/3
x=1/3 or 1.3333...
f (x) = x +11. Find the inverse of f(x).
O A. f-1(2) = x3 + 11
O B. f-'(x) = (x + 11)3
O c. f-1(x) = 23 – 11
O D. f-1(x) = (2x – 11)3
Answer:
y = x - 11
Step-by-step explanation:
f (x) = x + 11
y = x + 11
x = y + 11
x - 11 = y
Find the missing side of the length, s. I need help!
Answer:
s = 12
Step-by-step explanation:
Since the triangles are similar then corresponding sides are in proportion, that is
[tex]\frac{AB}{XY}[/tex] = [tex]\frac{AC}{XZ}[/tex] , substitute values
[tex]\frac{6}{9}[/tex] = [tex]\frac{8}{s}[/tex] ( cross- multiply )
6s = 72 ( divide both sides by 6 )
s = 12
I need help with this question
Answer:
b
Step-by-step explanation:
A coordinate plane with a line passing through (negative 3, 0), (0, negative 2) and (3, negative 4).
What is the equation of the graphed line written in standard form?
2x + 3y = –6
2x + 3y = 6
y equals negative StartFraction 2 Over 3 EndFraction x minus 2.
y equals StartFraction 2 Over 3 EndFraction x minus 2.
Answer:
2x+3y=-6
Step-by-step explanation:
the intercepts are (-3,0) (x intercept) and (0,-2) (y intercept)
this means that when x = 0, y = -2 and when y = 0, x = -3.
the last two are not in standard form, so we can eliminate those.
the answer also cannot be the second one because both intercepts are negative. when we solve it, the intercepts would be (3,0) and (0,2). the answer must be 2x+3y=-6.
sorry for the late reply!
Answer:
I believe its A. 2x+3y=-6
Step-by-step explanation:
Find the perimeter of the following figure
plsplspls
Answer:
30+4x
Step-by-step explanation:
Well, break it up into pieces: two rectangles.
An airline carries 9,000 passengers per day. How many passengers will the airline carry in 9 days?
Answer:
I think it would be 81,000 hope this helps ;)
Step-by-step explanation:
please help me please
I NEED HELP ASAP I WILL MARK BRAINLIEST :’]
The question is “Find the equation of the line. Use exact numbers.”
Answer:
y=x-5
Step-by-step explanation:
6.
Find the area of a rectangle with
length 2x - 7 and width 3x +4.
Answer:
[tex]A=6x^{2} -13x-28[/tex]
Step-by-step explanation:
A=L(W)
A=2x-7(3x+4)
Use distributive property
[tex]A=6x^{2} +8x-21x-28[/tex]
Combine like terms
[tex]A=6x^{2} -13x-28[/tex]
A quadratic function y = f(x) is plotted on a graph and the vertex of
the resulting parabola is (3, -5). What is the vertex of the function
defined as g(x) = f(-x) + 3?
Answer:
the vertex is (0,3)
Step-by-step explanation:
using vertex form: y=a(x-h)^2+k you can find the vertex
h: the horizontal <----------->
and
k: the vertical |
so, there is no h, but there is a k, which is 3, so the answer is (0,3) I believe
help pls im in need!!
Answer:
x=-23
Step-by-step explanation:
-0.48x+0.28=4.6
-0.2x=4.6
x=-23
Answer:
it’s -0.2x =4.6
Step-by-step explanation:
X = -23 is the answer for the equation but
your asking for what the number is before the x right
it’s -0.2x =4.6
than multiple both sides by 10
divide both sides by -2
simplify
X=-23
I will give brainliest if right, please help!
Which line uses all trochees?
A. Correct, the mall is over there
B. Roadrunners and barbecue
C. Toy store sausages swung by
D. Ask me questions now or later
Answer:
I believe it is c
Step-by-step explanation:
The metrical pattern of a trochee is said to have a "falling rhythm" because the emphasis comes at the beginning of the foot: "da-dum da-dum." This falling rhythm is the exact opposite of the iambic "rising rhythm" that is more common in both poetry and speech, so the cadence of trochaic meter tends to sound a little unnatural to the ear. While for this reason trochees are relatively rare in most poetry, the "downward" motion and "backward" orientation of trochees actually makes them a popular foot for writing about dark subjects like madness and death.
Answer:
Step-by-step explanation:
I don't understand this but D is the
plz help me im stuck
Can y’all please help?
Answer:
7
Step-by-step explanation:
You subtract 220 - 129 = 91 then divide by 13
In a neutral atom that has an atomic mass of 22 and atomic number of 12, how many neutrons does this element have?
Given :
In a neutral atom that has an atomic mass of 22 and atomic number of 12.To Find :-
The number of neutrons .Solution :-
As we know that,
n(neutrons) + n(protons) = A n(neutrons) + 12 = 2 2n(neutrons) = 22-12n(neutrons) = 10Hence the required answer is 10.
Answer:
10 neutrons
Step-by-step explanation:
no.of neutrons = atomic mass - Atomic number
no.of neutrons= 22-12
=10
3/7x2/3.....................
Answer:
3/7 times 2/3 is 2/7
Step-by-step explanation:
I used a calculator ! Please let me know if i am incorrect.
Answer:
0.28571428571
basically 0.28
Step-by-step explanation:
gooogle calculator
Please help me solve this problem
Answer:
30
Step-by-step explanation:
If you subtract 30 - 12 you would get 18 and multiply by -3 would get you -54
Riley finds a recipe for bubble solution that uses one cup water, 1/4 cup dish soap, and 1 tablespoon corn syrup. She uses 2 cups of dish soap. How much water should she use? Show ur work
HRLP PLZ
Answer:8
Step-by-step explanation:
find the slope of the skate ramp that has a vertical change of 7 and horizontal change of 35
Answer:
1/5
Step-by-step explanation:
Kylie signed up for a streaming music service where there's a fixed cost for a monthly membership and a cost per song downloaded. Her total cost is given by the linear graph below. What does the slope of the line represent?
Answer:
we need the linear graph ._.
Step-by-step explanation:
What is an equation of the line that passes through the point (8,0) and is parallel to the line x-4y=20?
Answer:
y= 1/4 (x -8)
Step-by-step explanation:
x -4y= 20
-4y= -x + 20
y= 1/4 × -5
y - y1 = m (x - x1)
y - 0 = 1/4 (x -8)
y= 1/4 (x -8)
What is an equation of the line that passes through the point (-4,-6) and is
perpendicular to the line 2c – y = 6?
Answer:
y = -1/2c - 8
Step-by-step explanation:
2c - y = 6
2c -6 = y
Slope: 2. Slope of the perpendicular line: -1/2
Point (-4,-6)
y-intercept = -6 - (-1/2)(-4)
b = -6 -2 = -8
The equation of the line that passes through the point [tex](-4,-6)[/tex] and is
perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].
What is equation of the line ?Equation of the line: The general equation of a straight line is [tex]y = mx + c[/tex]. This variable [tex]'c'[/tex] is called the intercept on the [tex]y-axis[/tex]. And [tex]y = c[/tex] is the value where the line cuts the [tex]y-axis[/tex].
Here,
[tex]m=[/tex] the gradient,
[tex]c=[/tex] the intercept on the y-axis
We have,
An equation of the line that passes through the point [tex](-4,-6)[/tex] and is
perpendicular to the line [tex]2c - y = 6[/tex] .
So,
Line [tex]2c - y = 6[/tex]
[tex]2c - y = 6[/tex]
⇒ [tex]y=2c-6[/tex]
and [tex]y = mx + c[/tex]
On comparing above two equations
[tex]m=2[/tex]
and Slope [tex]=-\frac{1}{m}[/tex]
So, Slope [tex]=-\frac{1}{2}[/tex]
Now,
Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Slope of required equation [tex]=\frac{-1}{Slope \ of \ 2c-y=6}[/tex]
[tex]=\frac{-1}{\frac{(-1)}{2} }=2[/tex]
Now,
Equation of line with slope [tex]2[/tex] and passing through point [tex](-4,-6)[/tex] ,
Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]2=\frac{y_{2} -(-6) }{x_{2} -(-4) }[/tex]
[tex]2x_{2} +8=y_{2} +6[/tex]
[tex]2x_{2} -y_{2} +2=0[/tex]
So, the equation of the line is [tex]2x_{2} -y_{2} +2=0[/tex] .
Hence, we can say that the equation of the line that passes through the point [tex](-4,-6)[/tex] and is perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].
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On a snow day, Kayden created two snowmen in his backyard. Snowman A was built to a height of 59 inches and Snowman B was built to a height of 34 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 7 inches per hour and Snowman B's height decreased by 2 inches per hour. Let AA represent the height of Snowman A tt hours after sunrise and let BB represent the height of Snowman B tt hours after sunrise. Write an equation for each situation, in terms of t,t, and determine the interval of time, t,t, when Snowman A is taller than Snowman B.
A=
B=
Snowman A is taller than Snowman B when tt ___ __ ___
Answer:
AA=59-7t
BB=34-2t
t<5
Step-by-step explanation:
AA=59-7t
BB=34-2t
Snowman A is taller than Snowman B while 59-7t > 34-2t
25>5t
t < 5 hrs
Solve √3x+4−2=3
The square root covers the 4 but not the -2
[tex] \sqrt{3} x + 4 - 2 = 3 \\ = > \sqrt{3} x = 3 - 4 + 2 \\ = > \sqrt{3} x = 1 \\ = > x = \frac{1}{ \sqrt{3} } \\rationalising \: \: \: the \: \: \: denominator \\ = > x = \frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ = > x = \frac{ \sqrt{3} }{3} \\ [/tex]
Answer:[tex] \frac{ \sqrt{3} }{3} [/tex]
Answer: x = 7
Step-by-step explanation:
[tex]\sqrt{3x+4}=3+2[/tex]
[tex]\sqrt{3x+4}=5[/tex]
[tex]3x+4 =25[/tex]
[tex]3x = 21[/tex]
[tex]x=7[/tex]
Please give me a brainliest answer
180
9. What is the value of x below?
A.
B.
1362
C.
D.
→ K
g
136
90
54
t
Answer:
icifzuez8t
Step-by-step explanation:
f8x8s3w557t6jeflfrjj5xg
z4usti
jayo4i
zirstodtpd
dry
fumc
how to use solution of an inequality in the real world?
They seek to describe the way nature flows. Many of the simpler equations also describe financial concepts, like exponential growth. Exponential growth can describe the cultivation of microorganisms as well.
Addition and substraction is used in shopping.
Much of mathematics are also used in programming in order to make smart software.
You basically used equations everyday without even notice. Like when you have to calculate “How many dollars does the sum of your grocery stuffs equal to?”. Or a more complicated situation, if you need to be in the meeting at 9:30am, the travel distance is 10km and you can only leave after 8:30am, your driving speed should equal “x” km/h.”
Inequalities are used for comparison. “He is taller than me.” or “The iPhone with larger memory capacity is more expensive.”. A more complicated example is also with calculating your driving speed. “Now if there is expected traffic jam for 2km. You get out of the traffic jam at 9:00am, you have to drive faster than
“x” km/h to compensate for your loss time.”
Just some simple examples. There are a lots more out there, just look around.
Answer:
by using injustices or by subtracting
Shaheer takes 4 1/2 minutes to run ONE
PROPER LAP around the School
How many laps can he do in each time
a) 30 minutes
b) 20 minutes
c) 15 minutes
Answer:
Im not
sure but i think its (B) i really hope its right
Step-by-step explanation:
True or False: Midpoint is represented by a whole number, Indicating a length.