Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1
To find the common difference subtract the previous term from the next term
We have
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5
Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]
Hope this helps you
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)dwhere a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1To find the common difference subtract the previous term from the next term
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]
What is 16 1/2 as an improper fraction.
Is there a value of x that makes each of the following equalities true? If there is, find it.
a. √x-3=0
b. √x=-10
c. √x+1=0
d. √x=0.1
Step-by-step explanation:
a. √x - 3 = 0 ⇒ √x = 3 ⇒ x = 3² ⇒ x = 9 b. √x = -10,no solution as √x is a positive value
c. √x+1=0 ⇒ √x = - 1,no solution as √x is a positive value
d. √x = 0.1 ⇒ x = 0.1² ⇒ x = 0.01#1
√x-3=0x-3=0x=3If square root is over x only x=3²=9
#2
No solutions as -10 is <0
#3
√x+1=0x+1=0x=-1If root is over x only then no solutions
#4
√x=0.1
x=0.01
Someone, please help me with this MATH question.
Answer:
A
Step-by-step explanation:
The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?
×-(×+4)=52
×+(×+4)=52
×(×+4)=52
×(×-4)=52
Answer:Let's assume x be the smaller number.
Given that, The greater number is 4 more than the smaller number.
So, greater number= x+4.
It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,
x + (x + 4) = 52
Step-by-step explanation:
The slope in the linear equation y=12x+5 is _[blank]_.
What is the value of x?
Step-by-step explanation:
19x - 4 = 110 ( alternate Exterior angle )
→ 19x = 110 + 4 = 114
→ x = 114/19
→ x = 6
therefore, value of x is 6°.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Please help I need to show my work
El perimetro de un rectangulo mide 166 cm . Si su base mide 58 cm ¿cuanto mide su altura y cual es su area
solución:
A=1450cm²
~~~~~~~~~~~~~
What is the vertex and p-value of this parabola?
Answer:
vertex: (-7, 5)p = 2Step-by-step explanation:
The vertex is halfway between the focus and the directrix:
((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates
The value of p is the distance from the focus to the vertex:
7 -5 = 2 = p
In vertex form, the equation of the parabola is ...
y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)
y = 1/8(x +7)^2 +5
Write an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72
Step-by-step explanation:
as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)
we know that f(62)=-490 so a= -0.7
so f(x)= -0.7(x+8)(x-72)
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
Answer:
This Inequality has no solution making it false.
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
5,069=322
False
Hope this helps :)
Answer:
Step-by-step explanation:
Write the equation of the line that passes through the points (-8,3) and (0,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
[tex]y = \frac{1}{8} x + 2[/tex]
Solve for g.
19 = 3g + 4
g =
Answer:
ANS is g=5
step 1: 3g=19-4
step2: or,3g=15
step 3: or,g=15%3
step 4: or,g=5
Hope it helps.
Can you give me BRAINLIEST ANSWER
THANK YOU
solve pls brainliest
Step-by-step explanation:
first you need m and m is -15/5 that means -3
your function is mx =y so your function is -3x= y
Does anyone want to play prodigy with me? if so meet at Town Square in Lamplight Town in Sapphire World. I'm Serenity Nearshadow in that game. PLEASE!
Answer:
why did you need to play with you are you board of playing then stop playing game
help ? yes ? no ? maybe ?
Answer:
They are proportional
Step-by-step explanation:
Proportionality:
They are proportional because the cost is going up by 10 the entire time and the hours rented is going up by 2 the entire time.
Graphing:
Go to the 2 on the x-axis (horizontal line)
Go up to the 20 on the y-axis (vertical line)
The points to graph are:
(2,20)
(4,30)
(6,40)
(8,50)
I put a pic of what your graph should look like below!
Answer:
To plot the graph put the hours along the x axis and the cost on the y axis. Its a positive realationship because when the hours go up the cost goes up to, it isn't proportional because both values don't go up at the same rate.
Step-by-step explanation:
ABC is a straight line.
The length AB is five times the length BC .
AC =90 cm.
Work out the length AB .
(3 marks)
Answer:
75 cmStep-by-step explanation:
According to segment addition postulate we have:
AC = AB + BCWe are given:
AB = 5 BCThen substitute values into the first equation:
AC = 5 BC + BC90 = 6 BCBC = 90/6 = 15 cmFind the length of AB:
AB = 5*15 cm = 75 cmA manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus 2X each week determine what the maximum revenue will be round your answer to two decimal places
Answer:
38.30
Step-by-step explanation:
because 230 -6x=0
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x + 6y = -54
Answer:
y = - 4/3x - 9
Step-by-step explanation:
Answer:
[tex]y = -\frac{4}{3}x - 9[/tex]
Step-by-step explanation:
The standard form of linear equation is: Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.
Given the linear equation in standard form, 8x + 6y = -54, we can transform this equation into its slope-intercept form, y = mx + b.
First, subtract 8x from both sides:
8x + 6y = - 54
8x - 8x + 6y = - 8x - 54
6y = -8x - 54
Divide both sides by 6 to isolate y:
[tex]\frac{6y}{6} = \frac{-8x - 54}{6}[/tex]
[tex]y = -\frac{4}{3}x - 9[/tex] ⇒ This is the slope-intercept form where the slope, m = [tex]- \frac{4}{3}[/tex], and the y-intercept, b = -9.
What is the solution to the system of equations?y = a system of equations. Y equals startfraction one-third endfraction minus 10. 2 x plus y equals 4. X – 102x y = 4(–8, 6)(–6, 16)(6, –8)(16, –6).
Answer: C
Step-by-step explanation:
joe mammamamamamamaamamamma
Answer:
this joke is getting old lol
Step-by-step explanation:
Imagine that you have been asked to write a letter to a 7thgrader. Using academic vocabulary and 5-7 complete sentences, write a letter teaching a 7thgrader about something you have learned in 8thgrade Math this year.
please help me!
Answer:
step 1: what have you learned?
We cant help you because we do not know what you have learned.
but if you comment your vocab words and what u learned i can help you
Step-by-step explanation:
-8 less than a number is no more than 12
Answer:
-8 < x ≤ 12
Step-by-step
-8 less than a number would give you
-8 <
a number no more than 12 would give you
x ≤ 12
giving x because we dont know what the number is-
so your full anser would be-
-8 < x ≤ 12
Find the equation of the line that passes through the given points, in Slope-Intercept Form. (-2, -7) and (3, 8)
Answer:
y=3x-1
Step-by-step explanation:
m=y2-y1/x2-x1
m=8-(-7)/3-(-2)
m=8+7/3+2
m=15/5
m=3
y-y1=m(x-x1)
y-(-7)=3(x-(-2)
y+7=3(x+2)
y+7=3x+6
y=3x+6-7
y=3x-1
Write a system of equations for the following situation. There are a total of 35 questions on a test. Some questions are multiple choice and some are short answers. The multiple choice questions are worth 2 points and the short answer questions are worth 5 points. There are a total of 100 points on the test.
Answer:
m + s = 352m + 5s = 100Step-by-step explanation:
There are a total of 35 questions on a test:
m + s = 35Points from multiple choice answers = 2m
Points from short answers = 5s
There are a total of 100 points on the test:
2m + 5s = 100The condition is
There are total 35pens to buy.[tex]\\ \sf\longmapsto m+s=35[/tex]
Each pen costs 2$Each pencil costs 5$You have 100$[tex]\\ \sf\longmapsto 2m+5s=100[/tex]
$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.
Answer:
(136.60 - 61.60) / 30 = 2.5 hours
Step-by-step explanation:
First, subtract the cost of parts from the total: 136.60 - 61.60 = 75
Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5
5.
Identify the vertex of the parabola.
A. (6, 3)
B. (3, 0)
C. (4, -1)
D. (5, 0)
Answer:
B. (3, 0)
Step-by-step explanation:
It's B. (3,0) because it's on the line of 3 and 0 aka x axis
Is the expression 8 x 85 equivalent to (8 X 835? Explain.
pls help I'm dying lol
[tex]8 \times 835 = 6680[/tex]
Answer:
the answer will be 6680
Can someone please help I will give you 30 points and brainliest if the answer is right also no links please
Answer:
B: BC ≅EC
Step-by-step explanation:
You know that the two angles starting in C are congruent (they're opposite by vertex C).
Given that the B angle and the E angle are congruent, in order for the two triangles to be congruent by A(ngle)S(ide)A(ngle) you want the side inbetween to be congruent. That is BC and EC. Option B
Help me please I’m bad at slopes
