Answer:
Exact Form:
x = 1 , − 1/ 2
Decimal Form:
x = 1 , − 0.5
Step-by-step explanation:
QUICK MATH
Rewrite this standard form quadratic equation into vertex form by completing the square. Upload your work here to show your thinking.
y=x2 - 6x +3
Solution :
Given the equation :
[tex]$y = x^2 - 6x+3 $[/tex]
[tex]$y=1(x^2 - 6x +n)+3$[/tex]
[tex]$n = \left(\frac{b}{2}\right)^2$[/tex]
[tex]$n = \left(\frac{6}{2}\right)^2$[/tex]
n = 9
[tex]$y=1(x^2 - 6x +9-9)+3$[/tex]
[tex]$y=1(x^2 - 6x +9)-9+3$[/tex]
[tex]$y=1(x-3)^2- 6$[/tex]
Therefore the vertex form of [tex]$y = x^2 - 6x+3 $[/tex] is [tex]$y=1(x-3)^2- 6$[/tex].
Barney and Robin went shopping at H&M the store was having a sale on all shirts and pants. Barney spent $70 on 3 shirts and 2 pants and Robin bought 1 shirt and 4 pairs of pants for $90. (assume there is not sales tax).
Write an equation to describe the total sent by Barney in the terms of the numbers of shirts and pants purchased. Let x be the price of a shirt and y be the price of a pair of pants.
Answer: barney Robin
70=3x+2y 1x+4y=90
if needed the shirts cost 10$ and the pants cost 20$ each
write an expression that is equivalent to 1/3x+3/4+2/3x-1/4-2/3x
giving brainliest
Answer:
1/3x + 1/2
Step-by-step explanation:
1/3x + 3/4 + 2/3x - 1/4 - 2/3x
Combine like terms
1/3x + 2/4
Simplify
1/3x + 1/2
Answer:
1/3x + 1/2
Step-by-step explanation:
Iready I checked it and it was right
what is 2 3/4 cups doubled??
Step-by-step explanation:
A pack of gum that comes with 35 pieces is $2.88 how much is one piece of gum? (unit price)
Answer:
0.08
Step-by-step explanation:
The accompanying diagram shows a flagpole that stands on level ground. Two cables, r and s,
are attached to a pole at a point 20 feet above the ground. The combine length of the two cables
is 70 feet. If cable r is attached to the ground 8 feet from the base of the pole, what is the
measure of the angle, x, to the nearest degree, that cable s makes with the ground?
Answer:
x = [tex]24^{o}[/tex]
Step-by-step explanation:
r + s = 70 feet
Applying Pythagoras theorem to the triangle formed by cable r;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/r/^{2}[/tex] = [tex]/20/^{2}[/tex] + [tex]/8/^{2}[/tex]
[tex]r^{2}[/tex] = 400 + 64
= 464
r = [tex]\sqrt{464}[/tex]
= 21.541
Length of cable r is 21.54 feet.
So that,
r + s = 70 feet
21.54 feet + s = 70 feet
s = 70 feet - 21.54 feet
= 48.46 feet
Length of cable s is 48.46 feet.
Applying trigonometric function to the triangle formed by cable s, we have;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin x = [tex]\frac{20}{48.46}[/tex]
= 0.4127
x = [tex]Sin^{-1}[/tex] 0.4127
= 24.3746
x = [tex]24^{o}[/tex]
The measure of angle that s makes with the ground is approximately [tex]24^{o}[/tex].
p-q= 10 q(2p-10)=1000
The first equation can be rearranged to obtain p=10+q.
Substituting this into the second equation,
[tex]q(2(10+q)-10)=1000 \\ \\ q(10+2q)=1000 \\ \\ q(5+q)=500 \\ \\ q^2 + 5q-500=0 \\ \\ (q+25)(q-20)=0 \\ \\ q=-25, 20 \\ \\ q=-25 \implies p=-15 \\ \\ q=20 \implies p=30 \\ \\ \therefore \boxed{(p,q)=\{(-15, -25), (30, 20)\}}[/tex]
please help me :(((((((((((((((((((((((
Answer:
m∠D=64°
m∠E=90°
m∠F=26°
DE=154°
EF=116°
DF=90°
Step-by-step explanation:
Hope this helps :D
phew, this took me time, so I would appreciate brainliest, thanks have a good day :)
solve the quadratic equation 3x^2 - 9x + 1 = 0 Give answer to 3 significant figures
Answer:
Either, (9+√69)/6 or (9-√69)/6
Step wise:
3x²-9x+1=0-------------------(i)
comparing equation onw with (ax²+bx+c=0), we get,
a=3, b=-9, c=1
now,
using Quadratic Formula,
(-b±√b²-4ac)/2a=x
{-(-9)±√(-9)²-4.3.1}/2.3=x
(9±√81-12)/6=x
(9±√69)/6=x
Taking +(ve) sign Taking -(ve) sign
(9+√69)/6=0 (9-√69)/6=0
∴(9+√69)/6=0 ∴(9-√69)/6=0
[∵They cannot be further solved]
The solutions to the given quadratic equation are x = 2.884 and
x = 0.116.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
The given equation is 3x² - 9x + 1 =0.
Solve the equation as follows:
3x² - 9x + 1 =0
Use the quadratic formula to solve the equation:
[tex]x = \frac{-(-9)\pm\sqrt{(-9)^2-4(3)(1)}}{2(3)}\\\\x= \frac{9\pm\sqrt{81-12}}{6}\\\\x=\frac{9\pm\sqrt{69}}{6}\\\\x = \frac{9\pm8.306}{6}\\\\x=\frac{9+8.306}{6}\quad\text{ or }x=\frac{9-8.306}{6}\\\\x=2.884\quad\text{ or }x=0.116[/tex]
Hence, the solutions to the given quadratic equation are x = 2.884 and
x = 0.116.
Learn more about the quadratic equations:
https://brainly.com/question/17177510
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Solve and graph the inequality
6X + 32 > -4
Answer:
Simplifying
6x + 32 = 180
Reorder the terms:
32 + 6x = 180
Solving
32 + 6x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-32' to each side of the equation.
32 + -32 + 6x = 180 + -32
Combine like terms: 32 + -32 = 0
0 + 6x = 180 + -32
6x = 180 + -32
Combine like terms: 180 + -32 = 148
6x = 148
Divide each side by '6'.
x = 24.66666667
Simplifying
x = 24.66666667
6x + 32> -4
6x > -4 - 32
6x > -36
x > -6
A number is 6 times another number and their sum is 28. what are the two numbers
Answer:
1st number = x
2nd number = y
x = 6y
6y = 6 x x/6
6y = x
x + x = 2x
Answer is 2x
Step-by-step explanation:
x = 6y
y = x/6
What would this question look like after we change the mixed numbers to improper & use KCF to rewrite the question?
2 2/5 divided by 1 3/4 =
A) 12/5 x 4/7
B) 12/5 x 7/4
C) 2/5 x 4/3
D) 2 x 3/4
Answer:
B)12/5x7/4
Step-by-step explanation:
Please Branliest
Find the upper limit for the zeros of the function
P(x) = 4x 4 + 8x 3 - 7x 2 - 21x - 9
Answer:
We need to find the zeros.
4x^4 + 8x^3 - 7x^2 -21x - 9
You're supposed to use synthetic division, assuming you're in algebra 2. I removed my calculus work.
x = -1 1/2, 1+sqrt5/2 , 1-sqrt5/2
x= -1.5000000119775176
4x 4 + 8x 3 - 7x 2 - 21x - 9= 0
x= -0.618033988749895
4x 4 + 8x 3 - 7x 2 - 21x - 9= 0
x= 1.618033988749895
4x 4 + 8x 3 - 7x 2 - 21x - 9= 0
Enter the equation in standard form.
-8.3 divided by 0.25
Answer:
-33.2
Step-by-step explanation:
Answer:this is what I got
Step-by-step explanation:
-33.2 ;-;
Evaluate the expression when b = 100 3/9 (b-64)
Answer:
12
Step-by-step explanation:
3
9
(100−64)
=12
Answer:
b=64 96/149
Step-by-step explanation:
need help please I don't have a long time!!
Answer:
with what
Step-by-step explanation:
Why does this curve slope more steeply upward as time increases? What is the domain of this function? What is the range?
Answer:
The curve becomes more steeply upward because the runner is gradually building up speed.
Domain [0,11]
Range [0,100]
Which equation has a graph that is a parabola with a vertex at (–1, –1)?
y = (x – 1)2 + 1
y = (x – 1)2 – 1
y = (x + 1)2 + 1
y = (x + 1)2 – 1
Answer:
[tex]y=(x+1)^2-1[/tex]
which agrees with the last option listed.
Step-by-step explanation:
We use the vertex form of a parabola:
[tex]y-y_v=a(x-x_v)^2[/tex]
which with the information we have becomes:
[tex]y-y_v=a(x-x_v)^2\\y-(-1)_v=a(x-(-1))^2\\y=a(x+1)^2-1[/tex]
Therefore the equation that corresponds to such vertex (-1, -1) is the last one listed among your given answer options.
[tex]y=(x+1)^2-1[/tex]
Answer:
D
Step-by-step explanation:
How many different ID cards can be made if there are six digits on a card and no digit can be used more than once?
Answer:
10
Step-by-step explanation:
If the perimeter is 82cm and the length is 30cm, what is the width
Answer: 11cm
Step-by-step explanation:
2(30)+2x=82
60+2x=82
2x=22
x=11
find the value of this expression if x=1 and y=-5
x^2y/7
Answer:
5/7
Step-by-step explanation:
Can someone help me with this please?
Answer:
-12
Step-by-step explanation:
subtracting a negative from a negative makes a greater negative, basically adding to the negative
Answer:
-8 is the answer correct
Step-by-step explanation:
Determine which regions contain cube roots of −1. Check all that apply.
Answer:
its A, C, and F
Step-by-step explanation:
Answer:
A, C, F
Step-by-step explanation:
What is the component form and magnitude of the vector? LeftAngleBracket 3, negative 2 RightAngleBracket and StartRoot 13 EndRoot LeftAngleBracket 3, negative 2 RightAngleBracket and StartRoot 5 EndRoot LeftAngleBracket negative 3, 2 RightAngleBracket and StartRoot 13 EndRoot LeftAngleBracket negative 3, 2 RightAngleBracket and StartRoot 5 EndRoot
Answer:
C
Step-by-step explanation:
edg 2023
Samual orders four DVDs from an online music store. Each DVDs costs $7.99. Sales tax is 6.75%
Answer:
8.529325
Step-by-step explanation:
Answer:
0.539325
Step-by-step explanation:
I used a calculator.
Need Help !!!! ASAP
Answer:
Step-by-step explanation:
que es asap
Answer:
I can give you the forumal for solving all the problems.
Step-by-step explanation:
If this is finding the circumference, then you will need to do
[tex]C = 2*\pi *r[/tex]
If you want to find the area, you need to do
[tex]A = \pi * r^{2}[/tex]
I need the answer to this question anyone knows it
Answer:
x = 13
Step-by-step explanation:
Vertical angels are congruent so you set the two expressions equal to each other and solve for x.
2x - 2 = 3x -15 Subtraction 2x from both sides of the equation
-2 = x - 15 Add 15 to both sides of the equation
13 = x
I
On average, there is a 37% chance of a ship being an oil tanker. If 22 ships are scheduled to
be in port today, what is the probability that 7 of the ships are oil tankers?
Answer:
21.56
Step-by-step explanation:
Question : 4x -8 = -4 (11+2x)
What’s the answer?
Answer:
x = -3
Step-by-step explanation:
4x - 8 = -4 (11 + 2x) (distribute the -4 to the numbers in the parenthesis)
4x - 8 = -44 + -8x (add 8x on both sides)
12x - 8 = -44 (add 8 on both sides)
12x = -36 (divide both sides by 12)
x = -3
Hope this helps ya!!