Answer:
The vertex of the function is (1.333, 4.667)
Step-by-step explanation:
1. Calculate -b / 2a. This is the x-coordinate of the vertex.
2. simply plug -b / 2a into the equation for x and solve for y.
[tex]Y = 3x^{2} - 8x + 10\\Compare with the form of y = ax^{2} + bx + c\\So that means a = 3, b = -8, and c = 10.[/tex]
Calculate -b/2a:
[tex]X = -(-8)/2(3)[/tex]
[tex]X = 8/6[/tex]
This is equal to 1.33 recurring
Plug 8/6 for x and solve for y:
[tex]Y = 3x^{2} - 8x + 10[/tex]
[tex]Y = 3(\frac{8}{6})^{2} - 8(\frac{8}{6}) + 10[/tex]
[tex]Y = \frac{48}{9} - \frac{64}{6} + 10\\[/tex]
This is equal to 4.66 reccuring.
Jose wants to walk to the store from his house but he is not sure how far away it is. Find the distance between his house (-8, -9) and the store (-4,-10). Each unit is equal to one
mile.
Answer:
You need to go 8 squares to the left and then go 9 square down. (-8, -9)
for the second one you need to go 4 squares to the left and 10 squares down. (-4, -10)
The distance between the coordinates of house and store is D = 17 miles, or about 4.12 miles
What is the distance of a line between 2 points?The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Given data ,
Let the first point be P = P ( -8 , -9 )
Let the second point be Q = Q ( -4 , -10 )
Now , Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
D = √ ( -8 + 4 )² + ( -9 + 10 )²
On simplifying , we get
D = √ ( 4 )² + ( 1 )²
D = √17 units
And , 1 unit = 1 mile
So , √17 units = 4.12 miles
Hence , the distance between Jose's house and the store is √17 miles, or about 4.12 miles
To learn more about distance between 2 points click :
https://brainly.com/question/18234495
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Which net represents this solid figure?
Please help, so that I'll get a 100%
I need this answered please
Answer:
The correct answer is 250/3phi m3
Look into the picture
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEI need help on 12&14 please!! Even if you can only answer one
Answer:
Question 12
Luisa's annual contributions:
Group Med = 25% of $12,98825% of $12,988
= 0.25 × $12,988
= $3,247
(a) Total annual contribution:
= Group Med + Dental + Vision
= $3,247 + $980 + $324
= $4,551
(b) Bi weekly deduction:
= $4,551 ÷ 365 × 14
= $174.56
OR
= $4,551 ÷ 52 × 2
= $175.04
**It depends how you calculate biweekly - if you divide the annual amount by 365 days then multiply by 14, OR if you divide the annual amount by 52 weeks then multiply by 2**
------------------------------------------------------------------------------------------------------
Question 13
Boris' annual contributions:
HMO = 10% of $8,190HOM - 10% of $8,190:
= 0.1 × $8,190
= $819
Dental - 50% of $662:
= 0.5 × $662
= $331
Vision - 50% of $288:
= 0.5 × $288
= $144
Total annual contribution:
= HMO + Dental + Vision
= $819 + $331 + $144
= $1,294
Weekly deduction:
= $1,294 ÷ 365 × 7
= $24.82
OR
= $1,294 ÷ 52
= $24.88
**It depends how you calculate weekly - if you divide the annual amount by 365 days then multiply by 7, OR if you divide the annual amount by 52 weeks**
------------------------------------------------------------------------------------------------------
Question 14
Annual contributions:
PPO = $12,640Dental = $866Vision = $444Total annual contribution:
= $12,640 + $866 + $444
= $13,950
Quarterly payments:
= $13,950 ÷ 4
= $3,487.50
Find the surface area of a box that is 14 inches deep, and 7 inches tall and 7 inches wide
Answer:
The answer is 686 inches
Step-by-step explanation:
Answer:
The surface area of a box is 686 inches
Step-by-step explanation:
You can do it by muliplying;
[tex]14*7*7=686[/tex]
Give the guy about brainliest!
I already have too many TvT
Hope this helped! :^)
✉️Message me if you have any more questions!✉️
- ✨7272033Alt✨
Submitted on 4/14/2022 at 6:37 PM
(To avoid plagarism, by users whom decide to copy.)
Direction:find the volume of each solid figure below.
Step-by-step explanation:
9) volum = width× lenght × height
= 2×3×7 = 42 m³
10) = 7³ = 343 cm³
Answer:
Question 9: Volume = 42m
Question 10: Volume = 343cm
Step-by-step explanation:
Volume for a rectangular prism: V = length x height x width
Question 9:
Length = 7m
Width = 2m
Height = 3m
V = (7m) x (2m) x (3m)
V = 14m x 3m
Volume for a cube: V = a^3 → this is the formula since all sides are the same length
Question 10:
Length = 7cm
Width = 7cm
Height = 7cm
V = (7cm) x (7cm) x (7cm)
V = 49cm x 7cm
V = 343
OR
V = a^3 → (7)^3
Can you answer these for me?
Answer:
27, 5, 2
Step-by-step explanation:
This is really simple lol.
a. Simple Math terms
43 subtracted by 16 equals 27.
Let's do 46-16 which equals 30.
Subtract 3 from 30.
43-16=27.
a. Mathematical
43-16 = . . .
13 - 6 = 7
Subtract the 1 from 4.
3 - 1 = 2
43-16=27.
b. Simple Math terms
67-14=53
7-4 = 3
6-1=5
c. Simple Math terms
6-4=2
Find the SURFACE AREA of the shape below.
Answer:
292 CM
Step-by-step explanation:
8x7 = 56 (2 such sides)
6x8 = 48 (2 such sides)
7x6 = 42 (2 such sides)
56(2) + 48(2) + 42(2)=
292
If the solution to a linear system of equations is x=6 and y= 2 and you graphed the two equations, where would the two lines intersect? How do you know?
This is simply because the x coordinate is 6 and the y coordinate is 2.
The line x = 6 is a vertical line in which all points on it have an x coordinate of 6. It goes through 6 on the x axis.
The line y = 2 is horizontal where all points on it have a y coordinate of 2.
The vertical and horizontal lines intersect at (6,2)
For all x, (2x + 1)^2= ?
Answer:not sure but it’s either a b c d e maybe don’t hold me to that
Step-by-step explanation:♀️♂️♀️♂️♀️♂️♂️♀️♀️
Answer: hii :)
E. 4x2+4x+1
Step-by-step explanation:
Expand the expression.
Hopefully this helps you!
- Matthew
The dot plot shows the mass, in grams, of several substances in an experiment.
How many substances has their mass recorded during the experiment?
Enter the answer in the box.
substances
A number line ranging from 60 to 68 with four dots over 64, one dot over 65, two dots over 66, two dots over 67, and four dots over 68.
Answer:
The answer is 13. Just count the dots.
Step-by-step explanation:
Answer:13
Step-by-step explanation:
bc i said so
8 + 40 + 200 + ... + 15625000
Sum of a finite geometric series:
Sn=a1-a1r / 1-r
Answer:
19,531,248
Step-by-step explanation:
General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]
(where [tex]a[/tex] is the first term and [tex]r[/tex] is the common difference)
Given geometric series: 8 + 40 + 200 + ... + 15625000
[tex]\implies a_1=8[/tex]
[tex]\implies a_2=40[/tex]
[tex]\implies a_3=200[/tex]
To find the common ratio [tex]r[/tex], divide consecutive terms:
[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{40}{8}=5[/tex]
Therefore:
[tex]\implies a_n=8(5)^{n-1}[/tex]
To find n when [tex]a_n=15625000[/tex] :
[tex]\implies 8(5)^{n-1}=15625000[/tex]
[tex]\implies (5)^{n-1}=1953125[/tex]
[tex]\implies \ln (5)^{n-1}=\ln1953125[/tex]
[tex]\implies (n-1)\ln 5=\ln1953125[/tex]
[tex]\implies n=\dfrac{\ln1953125}{\ln5}+1[/tex]
[tex]\implies n=10[/tex]
Sum of the first n terms of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Therefore, sum of the first 10 terms:
[tex]\implies S_{10}=\dfrac{8(1-5^{10})}{1-5}[/tex]
[tex]\implies S_{10}=19,531,248[/tex]
determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio. -29, -34, -39, -44, -49, ...
Is this: common difference =5?
arithmetic?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's see if the sequence is Arithmetic :} [/tex]
[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]
[tex] \textsf{-34 - (-29) = -5 } [/tex][tex] \textsf{-39 - (-34) = -5 } [/tex][tex] \textsf{Since the common difference is same, } [/tex] [tex] \textsf{we can infer that it's an Arithmetic progression} [/tex] [tex] \textsf{with common difference of -5} [/tex]
Sequence: -29, -34, -39, -44, -49, ...
First we need to identify the terms:
1st term = -292nd term = -343rd term = -394th term = -445th term = -49If the sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]
If the sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ x \ third \ term} }}[/tex]
=======================================
Check for arithmetic
[tex]\rightarrow \sf -34 = \sf \dfrac{-29 +(-39)}{2}[/tex]
[tex]\rightarrow \sf -34 = \sf \dfrac{-68}{2}[/tex]
[tex]\rightarrow \sf -34 = -34[/tex] [Hence it's arithmetic series]
To find common difference. we have to think of how to go to next term.
first term: -29
to go the second term, subtract by -5
-29 -5 = -34, second term
-34 - 5 = -39, third term
Hence, common difference: -5
Solutions:
Arithmetic Sequence
Common Difference: -5
Write an equation of the line with a slope of 0 and y -intercept of 5 .
y =
Answer:
y = 5
Step-by-step explanation:
The equation for a line is y = mx + b, with m representing slope and b representing y-intercept.
This yields an equation y = 0x + 5, or just y = 5 when simplifying.
PLEASE HELP ME WITH THE BOTTOM TWO OMG
Answer:
Standard Deviation, σ: 8.9580641647762
Step-by-step explanation:
i used a calc for the first one
place a check mark in the box next to each set of lengths that could be the sides of a triangle. Select all that apply
Answer:
This question has no content for me to answer, Iwant the points so I will be taking them anyway Thankyou. Also may I please have brainliest on the only 2 questions you asked.
Step-by-step explanation:
the answer is C. triangle
Answer:
in future please attach photo of question aswell :]
Step-by-step explanation:
unfortunately you haven't provided the neccasary context to answer. with no idea what the boxes might be or what the triangles look like i cannot give an educated response.
Need help with system of equation 3 variable.
Answer:
Here is an example of a systems equation with 3 variables:
x+y+z=2
6x-4y+5z=31
5x+2y+2z=13
Step-by-step explanation:
Using elimination:
x+y+z=2
5x+2y+2x=13
5x+2y+2x=13
- 2x-2y-2z-4
____________
3x=9
x=9
Using substitution:
9+y+z=2
y=z-7
9+z-7+z=2
2+2z=2
z=0
Using substituion again:
9+y=2
y=-7
When m = 2 and p = one-fourth, j = 32. if j varies directly with m and inversely with p, what is the constant of variation? 4 16 64 256
Answer:
the constant of the variation is 4
Answer:
a. 4
Step-by-step explanation:
did it
What is the sum of the complex numbers 2 + 4i,and 3 − 7i, where i=-1
Answer:
5 - 3i.
Step-by-step explanation:
2 + 4i + 3 - 7i Bring like terms together:
= 2 + 3 + 4i - 71
= 5 - 3i.
Answer:
5 - 3i
Step-by-step explanation:
Real numbers are a subset of the complex numbers. Therefore it would only make sense that the complex numbers follow the same rule of additivity and multiplication as real numbers do:
[tex](2+4i)+(3-7i)=2+3+4i-7i=5-3i[/tex]
Thell me the answer 5x=25 what is x
Answer:
5x=25
25/5=5
Therefor x =5
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
5x=25
Divide the 5 on both sides.
and you're left with x=5.
Kim bought 2 dozen chairs for a party. She placed them in 8 groups. How many chairs were in each group?
Answer: 3
Step-by-step explanation: 2 dozens is 24.
Divide 24 by 8 =3
on eduardo workbench are the following paint cans.
3 cans of red paint
5 cans of blue paint
8 cans of green paint
4 cans of yellow
eduardo will randomly choose one can of paint. what is the probability that he will choose a can of red paint or can of blue paint.
Answer:
likely to chose blue and unlikely to chose red
Step-by-step explanation:
Answer:
8/20
Step-by-step explanation:
P(R)orP(B)=P(R)+P(B)
=3/20+5/20
=8/20
The segments are tangents to the circle. Find the perimeter of JLNQ.
Answer: 28
Step-by-step explanation:
madi sells 23oz cans of jelly beans for 63 cents and 15oz cans for 45 cents. assume that the price varies linearly with the number of ounces.
Explain what the acronym PEMDAS means and how you use it when evaluating expressions.
The dance committee hired DJ Emanuel for the fall
dance. DJ Emanuel charges $I25 per hour plus $55 for
an assistant. The committee wants to keep the total
cost under $600. What is the maximum number of
hours that DJ Emanuel can play at the dance?
I need the inequality, inequality answer, final answer
Answer:
Inequality: 125x + 55 < 600
Solution of inequality: x < 4.36
Final answer: 4 hours
Step-by-step explanation:
Let the number of hours be x.
1 hour costs $125.
2 hours cost $125 × 2
3 hours cost $125 × 3
x hours cost $125 × x or simple 125x.
The assistant costs $55.
The total cost is 125x + 55.
The cost must be under $600, so
125x + 55 < 600
Subtract 55 from both sides.
125x < 545
Divide both sides by 125.
x < 4.36
In theory he can be hired for any amount of hours under 4.36 hours, but he probably works only full hours, so you need to round down to 4 hours.
4 hours
Please help me with this. I'm not that smart
Answer:
1.fireworks conjunction
2.michelle disjunction
3. Watch conditional
Step-by-step explanation:
Michelle orders soup, or she orders salad; an example of disjunction combining 2 sentences with the word or.
The fireworks were loud and colorful; An example of conjunction which combines two statements with the word And
If the watch is broken, then it it showing the wrong time; An example of a statement with if then scenario.
What is the length of the missing leg? If necessary, round to the nearest tenth
How do I do number 9?
Answer:
b
Step-by-step explanation:
There are 8 possibilities
2 up and 4 up are the up and even moves ===> 2 out of 8
2/8 = 1/4
The volume of a hemisphere that has a radius of 8centimeter to the nearest tenth.
[tex]\textit{volume of a hemisphere}\\\\ V=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies \begin{array}{llll} V-\cfrac{1}{2}\cdot \cfrac{4\pi (8)^3}{3}\implies V=\cfrac{1024\pi }{3} \\\\\\ V\approx 1072.3 \end{array}[/tex]