The specified function's vertex form is [tex]g(x) = 4(x+5)^2 - 100[/tex]
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
What is a perfect square polynomial?If a polynomial p(x) can be written as:
[tex]p(x) = [f(x)]^2[/tex]
where f(x) is also a polynomial, then p(x) is called as perfect square polynomial
For the considered case, the polynomial specified is;
[tex]g(x) = 40x + 4x^2[/tex]
Case 1: Converting to vertex form[tex]g(x) = 40x + 4x^2\\g(x) = 4(x^2 + 10) = 4(x^2 + 10 + 25 -25)\\g(x) = 4(x^2 + 10 + 25) - 100 = 4(x+5)^2 - 100\\[/tex]
Thus, the vertex form of the considered polynomial is [tex]g(x) = 4(x+5)^2 - 100[/tex]
Case 2: Converting to standard formStandard form of a quadratic polynomial is [tex]ax^2 + bx + c[/tex]
Thus, we get: the considered polynomial in standard form as:
[tex]g(x) = 4x^2 +40x[/tex]
Case 3: Factoring the first two terms of polynomial[tex]g(x) = 40x + 4x^2 \\g(x) = 4x(10 + x)[/tex]
Case 4: Forming a perfect square trinomialThe considered polynomial has only two terms, therefore, its not a trinomial.
Thus, the specified function's vertex form is [tex]g(x) = 4(x+5)^2 - 100[/tex]
Learn more about vertex form of a quadratic equation here:
https://brainly.com/question/9912128
Answer:
g(x)=4(x+5)^2-100
Step-by-step explanation:
Have the day you deserve :)
the sum of 8 and -13.
Answer:
-104 is the answer .....
Which of these graphs represents a function??
Help ASAP
Answer:
W
Step-by-step explanation:
its not X because a straight line is not a function
Find the cube root. -8/27
Answer: Exact Form:2/3 (2 over 3) Decimal Form:0.¯6
Step-by-step explanation:
Solve the equation X-6+2=6 for the variable. Show each step of your solution process. (10 points)
Answer with step-by-step explanation:
x = 10
Step 1: Simplify both sides of the equation.
x - 6 + 2 = 6
x + (-6) + 2 = 6
(x) + (-6 + 2) = 6
x + (-4) = 6
x - 4 = 6
Step 2: Add 4 to both sides.
x - 4 + 4 = 6 + 4
x = 10
Hope this helped! (brainliest please)
3 is what percent of 5?
60%
Step-by-step explanation:Hi there !
5 ........... 100%
3 .................x%
x = 3×100/5
= 300/5
= 60%
Good luck !
The ordered pair (-1, 4) is a solution to which of the pairs of equations? (1)
(1) y = -x + 3, y = x + 1
(2) x - y = 2, x + y = - 6
(3) x + y = - 2, 7x - 4y = 8
(4) y = -x + 3, y = 2x + 6
Answer:
d
Step-by-step explanation:
Substitute x = -1 into the equations. If the solution is y = 4 for both, then (-1, 4) is the solution.
(a) y = 1 + 3 = 4
y = -1 + 1 = 0
(b) -1 - y = 2 ⇒ y = -3
-1 + y = -6 ⇒ y = -5
(c) -1 + y = -2 ⇒ y = -1
7(-1) - 4y = 8 ⇒ y = -15/4
(d) y = 1 + 3 = 4
y = 2(-1) = 6 = 4
2x – 2y = 24
4x + 7y = –40
Step-by-step explanation:
is this simultaneous equation
reply in the comments
Construct a circle through points X, Y, and Z PLEASE HELPPP
Answer:
The number of given points=3, y, and z
Step-by-step explanation:
13. Four coins with tails up.
Turning any three coins over counts as one move.
How many moves does it take to get all coins to show heads if turning three coins at a time counts as one
move?
Answer:
4
Step-by-step explanation:
8.5.PS-8
Question Help
☆
Find the circumference of the circle. Use 3.14 for .
15 ft
The circumference is about ft.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Review progress
Question 2
of 8
Back
Next
Answer:
47.1 ft
Step-by-step explanation:
To find the circumference of a circle, use the formula c = πd
We know that π = 3.14 and d = 15 ft so we can substitute this into the formula:
c = 3.14 × 15 = 47.1 ft
Hope this helps!
What will it cost to carpet a rectangular room measuring 15 ft by 21 ft if the carpet
costs $22.50 per square foot?
Answer:
The cost would be $7,087.50
Step-by-step explanation:
Area = l×w
15×21= 315 ft^2
315×22.50= 7087.5
The data set below shows the number of blocks John walked each day for ten days. If John’s sister wanted to use a measure of central tendency to argue that an average person walks more than John, which measure would she use?
A. the mean
B. the median
C. the mode
D. None of the measurements are accurate.
Answer:
the mean
Step-by-step explanation:
the mean basically means average, and you have to find out the average distance so ya.
hope this helps
please mark as brainliest thank you
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
smal and blurry
Step-by-step explanation:
At the market, 8 apples cost $4.How much do 9 apples cost?
Answer:
$4.50
Step-by-step explanation:
We must find the unit rate.
Unit rate equals: 1 apple for 50 cents.
.5 multiplied by 9 is 4.5
Answer:
Step-by-step explanation:
C.f.
Find the ratio of the areas of two circles of radii 8 cm and 12 cm comparing the smaller circle to the larger circle. Write the correct answer in the space below. Don't forget to simplify your ratio (both areas have pi in them). Please write your ratio as a fraction.
Answer:
4π : 9π
Step-by-step explanation:
→ Find the area of circle with radius 8
π × 8² = 64π
→ Find the area of circle with radius 12
π × 12² = 144π
→ Simplify ratios
64π : 144π ⇒ 4π : 9π
PLZ PLZ PLZ ANSWER THIS I HAVE NO IDEA WHAT RATIOS ARE!!!!
I WILL MARK THE BRAINLIEST!!!
Answer:
1:2
Step-by-step explanation:
There is 1 hexagon and two rectangles
Answer:
1:2
Step-by-step explanation:
What are the coordinates of A after reflecting across the line x = 3?
Answer:
It would be (3,2) since it is being reflected over the line it is already on
Step-by-step explanation:
Answer:(3,2)
Step-by-step explanation:Doube check make sure you double check and not click (3,-2) THAT IS NOT THE ANSWER THE ANSWER IS (3, 2)
Hours
7 2/3
1 2/5
4 3/4
8 4/5
Help solve for x. I don’t understand it
Answer:
12
Step-by-step explanation:
How many triangles can be constructed with side lengths of 6.4 cm, 8.3 cm, and 14.6 cm? 0 1 more than one
Answer: only one triangle
Step-by-step explanation:
How many triangles can be constructed with side lengths of 6.4 cm, 8.3 cm, and 14.6 cm? 0 1 more than one
If a - b=7, what is also true?
A
B
C
D
Answer: B. a + (-b) = 7
Step-by-step explanation:
The answer is B. a + (-b) = 7. a + (-b) is the same thing with a - b.
A. a + b = -7
a - b = 7 means the differences of a and b is 7, choice A is talking about their sum, so it could not be true.
C. -a - b = 7
if you multiply -1 on both sides, you will get a + b = -7. Therefore, it will not be true.
D. b - a = 7
a - b = 7 means that a is 7 more than b. The choice d shows the opposite, which it states that b is 7 more than a. Therefore, it is not true.
Give the vertices of a triangle that dilated twice as big as triangle ABC if A(0, 0), B(8, 2), and C(12,5) (centered at the origin).
Answer:
0,0
16,4
24,10
multiple both numbers by two and those should be the coordinates
Harrison reads a book for 25 minutes. He finishes reading at 9:50 a.m. What time did he start reading?
Answer:
10:15am is the correct answer..:)
Step-by-step explanation:
mark me main brainliest please
Answer:
9:25 a.am
Step-by-step explanation:
If you go back 25 minutes from 9:50 a.m you will end up with 9:25 a.m
find the median of the following 3,6,7,4,5,9,8,9,7
Answer:
7
Step-by-step explanation:
Median is the middle number from least to greatest meaning that 7 is the median.
Answer:
7
Step-by-step explanation:
Let's first sort it form lowest to highest. So it's going to be 3,4,5,6,7,7,8,9,9. Now, we ifnd the middle ofit, which is 7. The middle number of the sequence is 7 becaue there are 9 numbers total so that means that the 5th number is the median.
A student buys two hot dogs and three drinks at the carnival for $5.25. The drinks
cost half as much as the hot dogs.
How much is each hot dog?
A $0.43
B $0.75
C $1.05
D $1.50
Answer:
B $0.75
Step-by-step explanation:
0.75x 3= 2.25
if the hotdogs are 2x as much as the drinks then
0.75x2= 1.50
then if there are 2 hot dogs
1.50x2=3
2.25+3=5.25
28z+16? Help? Fr? ……. It said it was to short so?
Answer:
4(7z+4)
Step-by-step explanation:
If you are trying to factors this then it would be 4(7z+4)
What is the solution set for - 4x + 10 > 5x + 55?
A. x 25
B. x > 45
C. X <-5
D. X <-45
Answer:
d
Step-by-step explanation:
took the test
Answer:
C
Step-by-step explanation:
‒4x‒5x>55‒10=‒9x>45
=‒9x/-9>45/‒9
=x<-5
i think it is easy &i hope my answer helps you
Answer This PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSs
Find the Total Are of the figure!
Answer:
the answer should be 27 you jus add them up
Step-by-step explanation:
just add them up and you get 27
Caroline packs 12 jars of jam in a box. She has 30 boxes. She has 426 jars of jam.
How many Jars of jam will she have left when all the boxes are full?
Caroline will have
Jars of Jam left after all the boxes are full.
Andrea rolls a six-sided die. What is the probability that she rolls a number greater than 2? Give your answer as a reduced fraction or a whole number. Pease hurry
Answer:
I believe the answer would be 2/3
Step-by-step explanation:
Because if it's a 6 sided dice, and you need a number greater than 2 then there are 4 other numbers. This gives you 4/6. Simplify it and it gives you 2/3./ Hope this helps! :)