Answer:
Answer : d. minimum (-1,3)
The vertex form of quadratic function is
, where (h,k) is the vertex
To get vertex form we apply completing the square method
To apply completing the square method , there should be only x^2
So we factor out 5 from from first two terms
Now we take the number before x (coefficient of x) and divide by 2
=1
Now square it
Add and subtract 1 inside the parenthesis
Now we take out -1 by multiplying 5
Now we factor x^2 +2x+1 as (x+1)(x+1)
h=-1 and k=3
So vertex is (-1,3)
When the value of 'a' is negative , then it is a maximum
When the value of 'a' is positive , then it is a minimum
is in the form of
The value of a is 5
5 is positive so it is a minimum
f(x) is minimum at point (-1,3)
Step-by-step explanation:
A quadrilateral has vertices A(3,0),B(-4,4),C(-7,0) and D(-3,-5).Find the midpoints coordinates of each sides
Answer:
See explanations below
Step-by-step explanation:
Given the quadrilateral ABCD
A(3,0),B(-4,4),C(-7,0) and D(-3,-5)
The sides of the quadrilateral are AB, BC, CD and AD
The midpoint coordinate of the line is expressed as;
X = x1+x2/2
Y = y1+y2/2
Given A(3,0),B(-4,4)
Midpoint of AB = (3-4/2, 0+4/2)
midpoint of AB = (-0.5, 2)
Given B(-4, 4),C(-7, 0)
Midpoint of BC = (-4-7/2, 4+0/2)
midpoint of BC = (-11/2, 4/2)
Midpoint of BC = (-5.5, 2)
Given C(-7, 0) D(-3,-5)
Midpoint of CD = (-7-3/2, 0-5/2)
midpoint of CD = (-10/2, -5/2)
Midpoint of CD = (-5, -2.5)
Given A(3,0),D(-3, -5)
Midpoint of AD = (3-3/2, 0-5/2)
midpoint of AD = (0/2, -5/2)
Midpoint of AD = (0, -2.5)
Find the measure of the sides of an equilateral triangle with a perimeter of 108 cm.
Answer:
The measure of the sides of an equilateral triangle with a perimeter of 108 cm is 36 cm.
3 and 1/3 +[-2 and 1/4]+1 and 5/6
Answer: Hi, for these type of questions I can help you! I
Step-by-step explanation: hi, my answers are correct but wont always give you a 100%. for any questions contact me and my legal team!
SHOW UR WORK HURRY PLS 1/4+3/8
Answer:
5/8
Step-by-step explanation:
1/4=2/8 (This is to find a common denominator).
2/8+3/8=5/8 (When adding fractions, ONLY add the numerator, not the denominator).
Answer:
5/8
Step-by-step explanation:
1/4 = 2/8 ,
so 2/8 + 3/8 is 5/8
What fraction of 400 gallons is 180 L? Give your answer in simplest form. 1 gallon = 4.5 L.
HELPP PLEASE ITS URGENT!!!
Answer:
∧·······°·······°·······Hello Person·······°·······°·······∧
Your answer should be:
1/10
Step-by-step explanation:
I hope this helped!
First answer <>o<>
Have a wonderful and blessed day! ~(;-;)~PLZ HELP!!!!!!! (15 points)
Which of the sets of ordered pairs represents a function? (4 points)
A = {(−4, 5), (1, −1), (2, −2), (2, 3)}
B = {(2, 2), (3, −2), (9, 3), (9, −3)}
Group of answer choices
Only A
Only B
Both A and B
Neither A nor B
Answer:
I think it should be Neither A nor B
what is 4/5 in simplest form???
Answer:
it alrdy is
Step-by-step explanation:
Answer:
4/5 is simplest form
Step-by-step explanation:
hope this helps
Which statement is the correct interpretation of the inequality −4 > −5?
On a number line, −4 is located to the left of 0 and −5 is located to the right of 0.
On a number line, −4 is located to the right of 0 and −5 is located to the left of 0.
On a number line, −4 is located to the right of −5.
On a number line, −4 is located to the left of −5.
Answer:
On a number line, −4 is located to the right of −5Step-by-step explanation:
We know that numbers increase from left to right on the number line.
- 4 > - 5 means:
- 4 is greater than -5 and therefore is located to the right of -5Correct choice is:
On a number line, −4 is located to the right of −5Answer:
On a number line, -4 is located to the right of 5!
Step-by-step explanation:
It is closer to the 0 therefore it is greater than 5 if you want more information...
<><><><<><><><><><><><><><><><><><><><><>
if you were to right a number line leading up to -8 - -7 - -6 etc..
then you would see and understand the value better! :D
Have a great week every one!!! / ( ` o w `o ) \
What is the area of the pentagon shown?
16 cm
15 cm
18 cm
20 cm
Answer:
86400!
Step-by-step explanation:
Multiply!! hope this helped
Factorise fully 18x - 9
Answer: 9(2x-1)
Step-by-step explanation:
If the mountain is 1,200 feet tall, find the length of the ski lift. *
360 ft
452 it
Ski Lint
Mountain
Answer:
The length of the sky lift is 3.387.05 ft
Step-by-step explanation:
By an online search, i found that the sky lift rises at an angle of 20.75 degrees.
Then we can think on a triangle rectangle, such that:
One cathetus is 1200ft, this is the opposite cathetus to the angle of 20.75°
The length of the ski lift would be the hypotenuse of this triangle rectangle.
Then we can use the relationship:
Sin(a) = opposite cathetus/hypoteuse.
such that:
a = 20.75°
opposite cathetus = 1200ft
then:
sin(20.75°) = 1200ft/hypotenuse
hypotenuse = 1200ft/sin(20.75°) = 3.387.05 ft
The length of the sky lift is 3.387.05 ft
Answer:
Cross multiply
Step-by-step explanation:
What is 10.25% of 80?
Answer:
8.2 is 10.25% of 80
2x + y = 14
x + 2y = 16
Answer:
Answer:
x= −1/2 y+7
Step-by-step explanation:
Let's solve for x.
2x+y=14
Step 1: Add -y to both sides.
2x+y+−y=14+−y
2x=−y+14
Step 2: Divide both sides by 2.
2x
2
=
−y+14
2
x=
−1
2
y+7
3/5 x 1/4 find each product
Answer:
3/20 or 0.15 as a decimal.
will give brainiest help
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
Is the function representing the weekly paycheck amount of Salesman A a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman B a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman C a proportional relationship? Use complete sentences to explain your reasoning.
Answer:
See below
Step-by-step explanation:
Proportional relationship formula:y = kxAs per given we have:
Salesman A
p(s) = 65s (p = $1300 maximum)This is a proportional relationship, $65 per each sale. But this is restricted to 20 sales.Answer is yes (ignoring the restriction)Salesman B
p(s) = 40s + 300This is a linear but not proportional relationshipAnswer is noSalesman C
p(s) = 900There is no relationship between sales number and weekly earning as it is a fixed salaryAnswer is noExplain why (2 + 3i)(2 – 3i) is a REAL number.
Answer: Complex Number, Real Part, Imaginary Part. 3 + 2i, 3, 2. 5, 5, 0, Purely Real. −6i, 0, − ... Example: add the complex numbers 3 + 5i and 4 − 3i ... Example: (3 + 2i)(1 + 7i) = (3×1 − 2×7) + (3×7 + 2×1)i = −11 + 23i. Why Does That Rule Work
We used the distributive property to multiply a real number by a complex number.(2 − 16i) = (5 − i)(a + bi) = 5a + 5bi −ai + b = (5a + b) +
Step-by-step explanation:
Mark had 5 dimes, 8 nickels, and 7 pennies. He lost 3 dimes, 2 nickels, and 6 pennies. How much money does he have left?
Answer:
51
Step-by-step explanation:
97- 30= 67 - 10= 57 - 6= 51
Write the equation of the line that passes through (-3,5) and (2, 10) in slope-intercept form.
Oy=x+8
Oy=x-8
Oy= -5x - 10
Oy=-5x + 20
Answer:
[tex]y=x+8[/tex]
Step-by-step explanation:
Slope of straight line can be calculated as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here [tex](x_1, y_1)=(-3, 5) \ and \ (x_2, y_2) = (2, 10)[/tex]
[tex]m =\frac{10-5}{2-(-3)}\\m=1[/tex]
Equation of straight line in slope intercept form is
[tex]y-y_1=m(x-x_1)\\y-5=(x+3)[/tex]
[tex]y=x+8[/tex]
I need help with all these problems
Answer:
Which One shoul di answer first :)
Step-by-step explanation:
Answer:
uh I'll do 1-8 for you I'll just comment it
would u plsssss helppp
Answer:
nnnnnnnnnnnnnnnnno
Step-by-step explanation:
What is the value of X?
Answer:
12
Step-by-step explanation:
Midsections are half of the length of the base of the triangle. 12 - 2 = 10 and half of 20 would be 10.
Answer:
Its most likely 8 because the second layer is 10 and it goes -2 so 10 - 2 is 8
Can y’all plz help me
Answer:
x=8
Step-by-step explanation:
Mr. Jaxon tips 25% of the dinner bill before tax. The expression 0.25(102−x) models the tip amount for a total bill of $102, where x is the dollar amount of tax. Mr. Jaxon tips $23.50. How much is the tax?
Answer: 1.02
Step-by-step explanation:because it is
The tax amount for the dinner bill can be calculated with the given expression.The tax amount for the dinner bill given by Mr jaxon is $8.
Given-
Total Total amount of the bill dinner is $102.
Tips given by Mr. Jaxon [tex]t[/tex] percent is 25 percent of the dinner bill before tax.
The expression for the tip amount [tex]t[/tex] can be model as,
[tex]t=0.25(102-x)[/tex]
Here [tex]x[/tex] is the tax amount.
Put the value of the tip in the above expression we get,
[tex]23.5=0.25(102-x)[/tex]
Divide by 0.25 both side, we get,
[tex]\dfrac{23.5}{0.25} =(102-x)[/tex]
[tex]94 =(102-x)[/tex]
Rewrite the equation for the [tex]x,[/tex]
[tex]x=102-94[/tex]
[tex]x=8[/tex]
Thus, the tax amount for the dinner bill given by Mr jaxon is $8.
For more about the percent follow the link below,
https://brainly.com/question/5777130
What is the solution to this inequality?
6x – 5 > -29
• X > -4
o x > 4
o x < -4
o x < 4
Step-by-step explanation:
the answer is the third one
hope it helps and if u need a explanaton I can help
a graph show the relationship between an employee total earnings,in dollars ,and the number of hours the employee works.
Need the answer to this .
Answer:
is this mnps?
Step-by-step explanation:
How many times would that person's heartbeat if he/she ran a 5K
race? (If you
don't have a rate at which this person runs, assume the person can
average 6
MPH during the race.
I will give brainlest to the right answer!
The diagonals of kite ABCD intersect at E. If ∡EBC=30°, what is ∡BCE?
Answer:
∡BCE = 60
Step-by-step explanation:
Here, we want to find the angle marked BCE
From our diagram, the angle marked BCE is y
Looking at triangle BCE, we have the right angle, an angle measure of 30 and the angle marked y which we say is BCE
mathematically, the sum of all these will give 180 as the sum f the interior angles of a triangle is 180
Thus, we have that;
y + 30 + 90 = 180
y = 180-120
y = 60
the length of a rectangle is four times its width.
if the perimeter of the rectangle is 100 ft, find its length and width
