Answer:
c
Step-by-step explanation:
-3≤7c+4<18
-3-4≤7c+4-4<18-4
-7≤7c<14
divide by 7
-1≤c<2
Find the vertex, axis of symmetry, and y-intercept of the quadratic function.
Answer:
Below in bold.
Step-by-step explanation:
f(x) = 1/2x^2 + 4x
Convert to vertex form:
f(x) = 1/2(x^2 + 8x)
= 1/2 [(x + 4)^2 - 16]
= 1/2(x + 4)^2 - 8 <------ Vertex form.
So the Vertex is at (-4, - 8).
Axis of symmetry is x = -4.
y -intercept (when x = 0) = 8-8 = 0.
Answer:
see explanation
Step-by-step explanation:
given a quadratic function in standard form
f(x) = ax² + bx + c ( a ≠ 0 ) , then
the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
f(x) = [tex]\frac{1}{2}[/tex] x² + 4x ← is in standard form
with a = [tex]\frac{1}{2}[/tex] , b = 4 , c = 0 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{4}{1}[/tex] = - 4
substitute x = - 4 into f(x) for corresponding y- coordinate of vertex
f(- 4) = [tex]\frac{1}{2}[/tex] (- 4)² + 4(- 4) = [tex]\frac{1}{2}[/tex] × 16 - 16 = 8 - 16 = - 8
vertex = (- 4, - 8 )
the equation of the axis of symmetry is a vertical line passing through the vertex with equation
x = c ( c is the x- coordinate of the vertex ) , then equation of axis of symmetry is
x = - 4
to find the y- intercept substitute x = 0 into f(x)
f(0) = [tex]\frac{1}{2}[/tex] (0)² + 4(0) = 0 + 0 = 0
then y- intercept is 0
what is the definition of accounting equation
Answer:
The accounting equation is a formula that shows the sum of a company’s liabilities and shareholders’ equity are equal to its total assets (Assets = Liabilities + Equity). The clear-cut relationship between a company’s liabilities, assets and equity are the backbone to double-entry bookkeeping. The source of a company’s accounting equation numbers is its balance sheet. Equity can be Shareholders’ Equity, Stockholders’ Equity, or Owner’s Equity.
Like other equations, if two terms of the basic accounting equation are known, you can solve for the third term. For example, Total Assets – Total Liabilities = Total Equity, or Total Assets – Total Equity = Total Liabilities. You move a term from the right side to the left side of the accounting equation by using a minus sign.
Names meaning the same as Balance Sheet are Statement of Financial Position or Statement of Financial Condition.
Pls help me!!!!!!!!!!!
Answer:
x=55 degrees
Step-by-step explanation:
Because triangle is 180 degrees,
35+90+y=180
y=55
Answer:
x = 55 degrees
Step-by-step explanation:
The angles in a triangle add up to 180 degrees. We are already given 2/3 of the angles that make up the triangle.
The two given angles are 35 degrees and 90 degrees (we got the ninty from the right angle)
We can add these given angles together and subtract them by 180 to find the measure of the missing angle:
35 + 90 = 125
180 - 125 = 55 degrees
Simplify this algebra expression:
6j-2j-2j+8+9+6e+5
Answer:
6j-2j-2j+8+9+6e+5
= 6j - 4j + 6e + 24
= 2j + 6e + 24
What is the value of x in the equation 0.3x + 0.2 = 5?
[tex]~~~~0.3x +0.2 = 5\\\\\implies 3x+2 = 50~~~~~~;[\text{Multiply both sides by 10}]\\\\\implies 3x = 50 -2\\\\\implies 3x = 48\\\\\implies x = \dfrac{48}3\\\\\implies x = 16[/tex]
#1 Calculate the Area: 11m 8m 5m
Answer:
24
Step-by-step explanation:
you have to add them
I have 2 questions, What is the smallest power of ten that exceeds 89,876,230,128,970?
Question 1 options:
A. 10^11
B. 10^14
C. 10^15
D. 10^12 What is the smallest power of 10 that exceeds? 981 44/61
Question 2 options:
A. 10^3
B. 10^4
C. cannot be found
D. 10^-2
Answer:
Question 1: Option B
Question 2: Option A
Step-by-step explanation:
Question #1:
Options are:
10¹¹ = 100000000000
10¹⁴ = 100000000000000
10¹⁵ = 1000000000000000
10¹² = 1000000000000
The power that exceeds the given quantity would be:
10¹⁴ ⇒ There are more digits.
Question #2:
We have the following expression:
981 44/51 = 61*981+44/61 = 981.72
We have to 10³ = 1000
So, the correct option is 10³
a bamboo shoot is 20 inches tall at day 0 and grows 24 inches each day. which function(s) shown below can be used to determine height, f(n), of bamboo after n days
Answer:
f(n) = 20 + 24n
Step-by-step explanation:
In slope-intercept form, y = mx + b, where m is the slope and b is the y intercept, you need to input the values you are given. f(n) is your "y" here.
The tricky part here is finding "b". Well, at the start, the bamboo shoot is 20 inches tall, so if you think about it, the equation should start with 20, which will be your "b".
Finally, you must show how the bamboo shoot will grow taller by 24 inches each day. Days in this case will be "n", which is like "x" in the general slope-intercept equation, and 24 is your slope ("m"). This will be positive because the height is increasing.
y = 24x + 20 ⇒ f(n) = 20 + 24n
Answer:
Because it starts at 20, that will be your base number
We know it grows 24 in. per day, but we dont know how many, so then we use n
so 20 + 24n
Step-by-step explanation:
20 + 24n
help find the measure of the arc or angle indicated.
please provide work with your answer!
Answer:
The answer is a angle indicated to this answer
if is right mark me the brainliest if not don't worry please
ASAP!!! Find the surface area of this net.
Answer:
240 cm
Step-by-step explanation:
18*12= 216
+
4*3*2= 24
216*24= 240
Winona has to paint the entire surface of the barrel shown below.
What is the surface area of the barrel including the top and bottom? (Use 3.14 for !.)
_A 1,099 square feet _B 1,256 square feet
_C 1,570 square feet _D 2,198 square feet
Luis is going to purchase a new iPhone with a
case. He is looking at the iPhone 4, 4s and 5,
with an otterbox in either black, blue, or camo.
What are all of the different choices he has?
In the early Iberian Peninsula both
Muslims and existed.
A. Catholics
B. Christians
C. Jews
Answer:
jews
Step-by-step explanation:
Answer:
Christians.
Step-by-step explanation:
can I have some help graphing inequalities?
Answer:
x+5>11
x>11-5
x>6
So it should be equal to or bigger than 6
Solve for x first
x + 5 = 11
-5
x = 6
So, x is greater or equal to 6 and the symbol next to box is the right one to use.
There should be a shaded in circle at 6, pointing to the right.
( the length of the arrow doesn't matter, you could even extend it to 7, 8, 9 or 10)
Hope this helps!
Find the value of x.
Answer:
x=13
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(2*x+14)-((3*x+1))=0
1.1 Solve : -x+13 = 0
Subtract 13 from both sides of the equation :
-x = -13
Multiply both sides of the equation by (-1) : x = 13
Jessamyn bought 3 notebooks that cost $2.25 each and a pen that cost $0.75. Sales tax on her purchases was
6%. What was the amount of the sales tax?
$0.54
$0.75
$0.18
$0.45
What is the volume of the rectangular prism?
(not drawn to scale)
4 in.
7 in.
2 in.
A 100 in
B 15 in
C 28 in
D 56 in
Helppp
Answer:
D - 56
Step-by-step explanation:
Multiply the height, 4 inches, the length, 7 inches, and the width, 2 inches, to get 56.
could someone help me rnnn?
Answer:
vertex = (0, -4)
equation of the parabola: [tex]y=3x^2-4[/tex]
Step-by-step explanation:
Given:
y-intercept of parabola: -4parabola passes through points: (-2, 8) and (1, -1)Vertex form of a parabola: [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex and [tex]a[/tex] is some constant)
Substitute point (0, -4) into the equation:
[tex]\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}[/tex]
Substitute point (-2, 8) and [tex]ah^2+k=-4[/tex] into the equation:
[tex]\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}[/tex]
Substitute point (1, -1) and [tex]ah^2+k=-4[/tex] into the equation:
[tex]\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}[/tex]
Equate to find h:
[tex]\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}[/tex]
Substitute found value of h into one of the equations to find a:
[tex]\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}[/tex]
Substitute found values of h and a to find k:
[tex]\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}[/tex]
Therefore, the equation of the parabola in vertex form is:
[tex]\implies y=3(x-0)^2-4=3x^2-4[/tex]
So the vertex of the parabola is (0, -4)
It can be solved through some shortcut tricks of parabola
y intercept= (0,-4)It passes through (-2,8) and (1,-1)
The minimum equation of the parabola (as it's quadratic) for vertex at (0,0)
y=ax²whatever our required parabola be it's translated from the above one
So
ax²=yLet a be 0
current equation is y=x²So it has vertex as well as y inetrcept at (0,0)
For x=-2
y=(-2)²=4 (but its 8 in our translated one )For x=1
y=1It wasn't negative but in translation it's negative so something is subtracted
Take a =2 and subtract (-2)² i.e 4 as it's minimal value of y=x² where x≠y
For
(-2,8)
-2=2(4)-4=8-4=4No try a=3
-2=3(4)-4=12-4=8Yes satisfied
Take (1,-1)
-1=3(1)-4=3-4=-1Verified
The required equation is
y=3x²-4part 2 to previously asked question 100 points detailed answers please
The youngest child in a family is 6 years old. The oldest
parent is 35 years old. What is the range of ages in.
the family?
Work Shown:
Range = Max - Min
Range = Oldest - Youngest
Range = 35 - 6
Range = 29
The range of 29 is the gap between the youngest person and the oldest.
HELP PLEASEEEEEEEEEEE
Answer:
c
Step-by-step explanation:
calculate the area of a parallelogram pqrs if qr=5cm,rs=6cm qrs=118°
Check the picture below.
[tex]\cos(28^o)=\cfrac{h}{5}\implies 5\cos(28^o)=h \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=6\\ h=5\cos(28^o) \end{cases}\implies A=6[5\cos(28^o)]\implies A\approx 26.49[/tex]
Make sure your calculator is in Degree mode.
A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza?
Answer:
20%
Step-by-step explanation:
8 -> pizzas
12 -> hamburgers
14 -> pastas
6 -> steaks
40 = 8 + 12 + 14 + 6 -> total dishes
so the probability become from actual cases on total cases
so (8 / 40)
8/40 = 1/5 = 20/100 = 20%
linda recorded the number of minutes she practiced playing her violin for 10 days. The table shown represents the data she collected.
According to the data, what is the average amount of time Linda spent practicing per day?
Answer:
29.3
Step-by-step explanation:
its avarage just add everthink and : to 10
Make q subject of the formula 2(q+p) = 1+5q
Answer:
expand the equation
then make q the subject of the formal
Find the area. Answer without units.
I need this asap thx (:
Answer:
I think the answer is 43.8
Answer:
198.4
Step-by-step explanation:
Right side is a rectangle 12.8 * 12.8 = 163.84 cm^2
Left side is triangle area = 1/2 Base * height = 1/2 * 12.8 * (18.2-12.8) =
34.56 cm^2
summed = 198.4 cm^2
Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?
Answer:
v=44
w=68
Step-by-step explanation:
in the diagram above K and I are equal therefore the angles are going to be the same that is why w = 68
for v
since we know two angles out of the three we will equate everything inside the triangle to 180° because that is the sum of angle on a triangle
v+68+68=180( sum of angle in a triangle)
v+136=180
subtract 136 from both sides
v= 44
There are three marbles in a bag. One is red and two are black. What is the probability of picking a red marble first, putting it back in the bag and then picking a red marble? Use the following probability to find the answer.
Answer:
1/9
Step-by-step explanation:
1/3 x 1/3 = 1/9
What is the volume, in cubic meters, of a rectangular prism that has a length of 22 meters, a width of 4 meters, and a height of 8 meters?
Answer:
V =704 m^3
Step-by-step explanation:
Remark
The Volume of a cubical Prism = Length * Width * Height of L * w * h
Givens
L = 22 meters
w = 4 meters
h = 8 meters
Solution
V = L * w * h
V = 22 * 4 * 8
V = 704 m^3
What is the volume, in cubic meters, of a rectangular prism that has a length of 22 meters, a width of 4 meters, and a height of 8 meters?
Explanation -:In this question we are provided with the length, breadth and height of a rectangular prism. We are asked to calculate the volume of the rectangular prism.
We know,
[tex] \star \: \small\boxed{ \rm{ Volume_{(rectangular \: prism)} = L×B×H}}[/tex]
Where,
L stand for LengthB stand for BreadthH stand for HeightSubstituting the values we get
[tex] \small\sf{ Volume_{(rectangular \: prism)} = 22×4×8 = 704 m³}[/tex]
Hence, the volume of the rectangular prism is 704 m³.
PLEASE HELP ME WITH THIS!!!
Answer:
C: strong
Step-by-step explanation:
Its basically asking if the line going through the points fits them. Parabolic would mean the trend line is a parabola, which its not. a parabola is a curved line. weak would mean it doesnt follow most of the points. strong would mean it does follow most of the points, which it does. negative, im guessing would mean it follows none and is completely separate from the points. hope this helps.