Answer:
Step-by-step explanation:
take b, divide it by 2 and then square it
(6/2)²=9 so add then subtract 9
(x²+6x+9)+3-9
x²+6x+9=(x+3)²
3-9= -6
(x+3)²-6
The vertex is a minimum and the coordinates are (-3,-6)
Using a minimum of two sentences, describe how to write the function, f(x) = (x 2)2 - 3, in standard form.
The function is a quadratic function, and the standard form of a quadratic function is ax^2 + bx + c
The standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]
The function is given as:
[tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex]
Factor out (x - 2)^2
[tex]\mathbf{f(x) = (x - 2)(x - 2) - 3}[/tex]
Expand the expression
[tex]\mathbf{f(x) = x^2 - 2x -2x + 4 - 3}[/tex]
Simplify the like terms i.e. add -2x and -2x
[tex]\mathbf{f(x) = x^2 - 4x + 4 - 3}[/tex]
Simplify the like terms i.e. add 4 and -3
[tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]
Hence, the standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]
Read more about standard form at:
https://brainly.com/question/3236330
Answer:
the one above is all right except its a positive 4x, the question was
f(x) = (x + 2)2 - 3
not
f(x) = (x - 2)2 - 3
the real answer is: f(x) = x^2+4x+1
When 3(2x + 9) = 4x - 7 is solved for X, the solution is
1
3.
is 17
4
xs-17
[tex]\\ \sf\longmapsto 3(2x+9)=4x-7[/tex]
[tex]\\ \sf\longmapsto 6x+27=4x-7[/tex]
[tex]\\ \sf\longmapsto 6x-4x=-7-27[/tex]
[tex]\\ \sf\longmapsto 2x=-34[/tex]
[tex]\\ \sf\longmapsto x=17[/tex]
Sam made $189 for 9 hours of work. At the same rate, how many hours would he have to work to make S147?
Answer: 7 hours
Step-by-step explanation:
$189/9 hr = $21/hr
$21/hr(x) = $147
x = 147/21
x = 7 hours
Answer:
7 hours
Step-by-step explanation:
We know 9 hours of work paid $189
to find how much Sam makes in one hour we divide the amount made by the time it took to make it
189 / 9 = 21 dollars per hour
then we know she would like to make $147 more at a rate of $21/hr so
147 / 21 = 7 hours
HELP PLSSSSSSSSSSSS
Answer:
just open a spreadsheet and put the numbers of students in one line, and the hours worked on another, and select all and create a graph
Step-by-step explanation:
One yard of ribbon costs $0.49, and 3 yards of ribbon costs $1.49. Which is the better buy?
$0.49 ?
.........................................
Answer:
I think the better one is $1.49
Step-by-step explanation:
That's just my opinion
Зx — 6 = 3х – ?
-6
6
З
-3
0
Answer:
3x--666667666666666666666666666666
Divide the complex numbers. Write the answer in the form a + bi. (30 points)
Prefer work shown as it would be super helpful, thank you.
We make use of the identity,
a² - b² = (a - b) (a + b)
with a = 5 and b = 7i. Multiply the numerator and denominator by the complex conjugate of 5 + 7i, or 5 - 7i :
(-8 + 3i)/(5 + 7i) = (-8 + 3i)/(5 + 7i) • (5 - 7i)/(5 - 7i)
(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (5² - (7i)²)
(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (25 - (-49))
(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / 74
Expand the numerator on the right side:
(-8 + 3i)/(5 + 7i) = ((-8)•5 + 3i•5 + (-8)•(-7i) + 3i•(-7i)) / 74
(-8 + 3i)/(5 + 7i) = (-40 + 15i + 56i - 21i²) / 74
(-8 + 3i)/(5 + 7i) = (-40 + 71i - 21(-1)) / 74
(-8 + 3i)/(5 + 7i) = (-19 + 71i) / 74
A painter charges $15.80 per hour, plus an additional amount for the supplies. If he made $190.89 on a job where he worked 7 hours, how much did the supplies cost?
A.
$110.60
B.
$80.29
C.
$90.29
D.
$27.27
Answer:
B
Step-by-step explanation:
First find out how much he made without the supplies. To do this you would multiply $15.80 by the 7 hours he worked. This gives you 110.60. Then subtract 110.60 from the 190.89 the job cost. You would then overall get 80.29 for the supplies
A math student made the following conjecture:
When you add a multiple of 5 and a multiple of 8, the answer is a multiple of 5.
Which of the following numbers can be used as a counterexample to the conjecture?
A. 80 + 8 = 88
B. 16 + 16= 32
C. 10 + 5 = 15
D. 10 + 40 = 50
Answer:
D is the answer
Step-by-step explanation:
10 is multiple of 5 and 40 is the multiple of 8
50 is the multiple of 5
Please mark as brainliest answer
I got the answer but I don't know how to show my work, can ya'll tell me what I should write??
Answer:
one side is 16, the other is 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 angle triangle always give the following sides
1-[tex]\sqrt{3}[/tex]-2 , which is a-b-c
to label your triangle as such
8= a
other leg =b
hypotenuse = c
so. if a =8, then
c = 8*2 =16
b=8[tex]\sqrt{3}[/tex]
I If I multiply the sum of 630 and 1453 by zero what will be my result
Answer:
The result will be 0 (zero)
Step-by-step explanation:
The result will be zero because the product of any number and zero is always zero.
(630+1453)×0
= 2083×0
= 0
Find an equation for this line?
Answer:
y = -20/5 or -4/1 + 20 for the equation
2×5, plz help, need is really bad
Answer:10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
2×5=10
Hope this helps :)
what is 90 plus 60 plus 7x-12
[tex]90+60+ 7x -12 = 7x+138[/tex]
write an equation of the line slope intercept form that is parallel to Y= 1/2 X +3 and through the point (2, -1)
Answer:
y=1/2x
Step-by-step explanation:
I first did point-slope form which is
y+1=1/2(x-2)
Then, I converted it into slope-intercept form which is
y=1/2x
a
Piper is going to use a computer at an internet cafe. The cafe charges $0.60 for every
minute using a computer on top of an initial charge of $6. Make a table of values and
then write an equation for C, in terms of t, representing the total cost of using a
computer for t minutes at the internet cafe.
Number of Minutes Total Cost to Use Computer
0
1
2
3
$6.60 because 6.00 + 0.60 = 6.60
John scored 75% of the total marks How many marks did he get
Given :-
John scored 75% of the total marks .To Find :-
How many marks did he get .Solution :-
Let us say that the maximum marks for the exam was x . So he got 75% of x that is ,
[tex]\longrightarrow[/tex] Marks = 75% of x
[tex]\longrightarrow[/tex] Marks = 75/100 × x
[tex]\longrightarrow[/tex] Marks = 3/4 × x
[tex]\longrightarrow[/tex] Marks = 3x/4
Hence he scored 3x/4 marks in the test.
Who is known as "The Father of Genetics"? and List as many facts as you can about him and his accomplishments.
Mendel know as Father of genetics
he worked on pea plant for seven years and give two laws
law of independent assortment and law of dominance
Mrs. Baynes is shopping for rulers for her classroom. She wants to spend $19.75 on rulers and they cost $0.79 each. How many rulers, (r), can she buy? NO LINK (please)
Answer:
25 rulers
Step-by-step explanation:
Divide the total money available by the cost per ruler to get the number of rulers.
[tex]19.75/0.79=25[/tex]
(a−2b)^3 when a=−4 and b=−1\2
Answer:
- 125
Step-by-step explanation:
Write three consecutive multiples of 13 in a general form.
Answer:
answer given in step by step...
Step-by-step explanation:
13x+13(x+1)+13(x+2)=312
13x+13x+13+13x+26=312
39x+39=312
39x=312-39
39x=273
x=7
first number=13x=13*7=91
second number=13(8)=104
third number=13(9)=117
find the length of segment AB
Answer:
96
Step-by-step explanation:
Answer:
96
hope this helps you!!
4(7-8n)=-2n+8(6-5n) point slope from
Answer:
n = 2 i beleve
Step-by-step explanation:
i dont know if this is right but i did the math and im in 6th grade so im not really good with that stuff
<3 have a good day <3
Does anyone know which one it is??
Answer:
Limited economic options
Step-by-step explanation:
Answer:
A i think
Step-by-step explanation:
do to the way peasants lived they did not have options most of the time
What is a common denominator for 2/3 and 1/2?
Answer:
6 or 7/6
Step-by-step explanation:
they are both prime so 2*3=6
4/6+3/6=7/6
Answer:
21/31/6/2/34861/27651/7266163)
Out of 1700 people 49% were females how many more males than females were at the concert?
Pls explain how
Answer: 51% were males
Which means that there were 1% more males than females = 34 more males than Females
Step-by-step explanation:
100%-49%=51%
51%-49%=1%
1700x49%=833 females
1700x51%=867 males
867 Males -833 Females = 34 more Males
At a charity fund-raiser, adult tickets were sold for $7 each and children's tickets were sold for $2 each. Write an algebraic expression for the total amount of
money raised from the sale of tickets. How much money was raised if the fundraiser fsold 246 adult tickets and 380 children's tickets?
Let a = the number of adult tickets and let c = the number of child tickets. Then, an algebraic expression for the total money raised from the sale of tickets is
Answer:
x is amount of money
c + a = 646
2c + 7a = x
2(380) + 7(246) = 2486
x = $2486
Find the zeros of the function.
h(x) = x2 + 19x + 84
Answer:
X=7
Step-by-step explanation:
x-12)=0
x-12+12=0+12
x=12
Solve:
(x-7) = 0
x-7+7 = 0+7
x=7
Let (x) = 6x. The graph of f(x) is transformed into the graph of g(x) by a verticle compression of 1/3 and a translation of 2 units up. What is the equation for g (x)?
Answer:
g(x) = 2x + 2
Step-by-step explanation:
f(x) = 6x
g(x)= 1/3*f(x) + 2
g(x) = 2x + 2
Help!
Algebraic Relationship
y= x/4-1
32, 7
0, - 1
20, 4
You just plug in the numbers and solve