Given:
The quadratic equation is
[tex]x^2+1=2x-3[/tex]
To find:
The expression that correctly sets up the quadratic formula with the given equation.
Solution:
We have,
[tex]x^2+1=2x-3[/tex]
[tex]x^2+1-2x+3=0[/tex]
[tex]x^2-2x+4=0[/tex]
On comparing with [tex]ax^2+bx+c=0[/tex], we get
[tex]a=1,b=-2,c=4[/tex]
The quadratic formula is
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Putting [tex]a=1,b=-2,c=4[/tex], we get
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex]
Therefore, the required expression is [tex]\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex].
elimination method -2x-7y=13 and 3x+6y=15
Answer:
The answer is (61/3), (-23/3)
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Hoped this helped!
Julie went to Chili's for dinner with some friends. Her meal total was $15.60 and she wants to leave a 20% tip. What will be her total cost for her meal including the tip?
Olivia is half the age of her brother, Adam. Olivia's sister, Ava, is twice as old as Adam. Adam is 4 years old. How old is each sibling?
Answer:
Step-by-step explanation:
Adam's age = 4 years
Ava's age = 2 * 4 = 8 years
Olivia's age = 4 ÷ 2 = 2 years
Answer:
Step-by-step explanation:
Adam is 4 years old.
Ava's age = 2 * 4 = 8 years old
Olivia's age = 4 ÷ 2 = 2 years old
Zoe went shopping for a new pair of pants. The listed price of the pair of pants was
$45, but the price with tax came to $46.35. Find the percent sales tax.
ASAP!
Answer:
3%
Step-by-step explanation:
46.35 - 45 = 1.35 (change)
change/original price X 100
1.35/45 = 0.03
0.03 X 100 = 3
sales tax 3%
The distribution of 4 in the following expression (5+s)4
Answer:
( 5 + s ) 4 = 20 + 4 s
Step-by-step explanation:
Distribution property
Let a, b and c are numbers then distribution property is defined by
a( b + c) = a b + a c
(a+ b) c = a c + b c
Given that
( 5 + s ) 4 = 5× 4 + s× 4
= 20 + 4 s
Final answer:-
( 5 + s ) 4 = 20 + 4 s
Given the equation 2x + 4 = 4x - 2, select the reasoning that correctly solves for x.
1) Add 2, subtract 2x, then divide by 2.
2) Add 2, subtract 4x, then divide by -2.
3) Subtract 4, subtract 2x, then divide by-2.
04) Subtract 4, subtract 4x, then divide by 2.
Answer:
04) Subtract 4, subtract 4x, then divide by 2.
Answer:
option A.
Step-by-step explanation:
2x + 2 + 4 = 4x - 2 + 2
2x - 2x + 6 = 4x - 2x
3 = x OR x = 3
which expressions are equivalent to k/2?
A) k - 2
b) 2/k
c) 1/2k
D) k divided by 2
E) k+k
Answer:
C
Step-by-step explanation:
think of a random K number (like 3 for example)
1/2(3) = 3/2
this equals k/2 = 3/2
Solve 6 - 5x = 7 + 3x
Answer:
hol up
x=-1/8 negative one over eight
Step-by-step explanation:
A standard six-sided die is rolled. What is the probability of rolling a number greater than 5 ? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Answer:
the probability is one in 6
Step-by-step explanation:
there are 6 sides on a basic die and so the only number higher than 5 is 6. you have a 1/6 chance.
PLEASE HELP: There is a cylinder with 2 hemispheres on each side, the radius is 6 and the height is 11. Find the surface area and volume.
Use 3.14 as pi
5. Rule: Add 2, add . First term: 12
what are the first twelve numbers
Answer:
if your going up it is 12 14 16 18 20 22 24 26 28 30 32 34 if you go down 12 10 8 6 4 2 0
PLEASE THIS IS URGENT!!
(08.02)Which of the following graphs best represents the solution to the pair of equations below?
y = x + 1
y = −x − 1
Answer:
The 2nd one. With the intersection to the left of the y-axis on the x-axis
Step-by-step explanation:
3. A car traveled 43 miles in 2 hours. How many miles will the car travel
in 1/2 hour?
write as a fraction
(Please show explanation and fast please)
∠A and \angle B∠B are vertical angles. If m\angle A=(6x-11)^{\circ}∠A=(6x−11) ∘ and m\angle B=(5x+4)^{\circ}∠B=(5x+4) ∘ , then find the measure of \angle B∠B.
Answer: [tex]\angle B=79^{\circ}.[/tex]
Step-by-step explanation:
When two lines cross each other , then the opposite angles are known as vertical angles.
Vertical angles are equal.
Here, ∠A and ∠B are vertical angles.
So, ∠A = ∠B
If [tex]\angle A=(6x-11)^{\circ}[/tex] and [tex]\angle B=(5x+4)^{\circ}[/tex]
Then , [tex]6x-11=5x+4[/tex]
Subtract 5x from both sides, we get
[tex]x-11=4[/tex]
Add 11 on both sides, we get
[tex]x=15[/tex]
Now , [tex]\angle B=(5(15)+4)^{\circ}=79^{\circ}[/tex]
Hence, the measure of [tex]\angle B=79^{\circ}.[/tex]
y = 3x + 2
2x + y = 47
x=
y=
Answer:
y=29
x=9
Step-by-step explanation:
plug the first equation into the second one as y
2x+y=47
solve
then plug answer u got in x
y=3(9)+2
solve
could someone give me the answers do these please
Sam writes on a white board the positive integers from 1 to 6 inclusive, once each, She then writes p
additional fives and q sevens on the board. The mean of all the numbers on the board is then 5.3.
What is the smallest possible value of q?
Answer: The smallest possible value of q is 9.
Step-by-step explanation:
If we have the set of N numbers:
{x₁, x₂, x₃, ..., xₙ}
The mean of this set is:
M = (x₁ + x₂ + x₃ + ... + xₙ)/N
Now, in this case our set is:
{1, 2, 3, 4, 5, 6, p times 5, q times 7}
Then we have a total of:
6 + q + p numbers.
The mean of this set will be:
Mean = 5.3 = (1 + 2 + 3 + 4 + 5 + 6 + p*5 + q*7)/(6 + p + q)
This is the equation that we will use now.
First, we can simplify this as:
5.3 = (21 + p*5 + q*7)/(6 + p + q)
Now we can pass the denominator in the right to the other side as:
5.3*(6 + p + q) = (21 + p*5 + q*7)
31.8 + p*5.3 + q*5.3 = 21 + p*5 + q*7
Now we want to isolate the variable p in one side of the equation.
p*5.3 - p*5 = 21 - 31.8 + q*7 - q*5.3
p*0.3 = q*1.7 - 10.8
p = (q*1.7 - 10.8)/0.3 = q*(1.7/0.3) - 36
p = q*(1.7/0.3) - 36
p = q*(17/10)*(10/3) - 36
p = q*(17/3) - 36
Now we can see that the denominator is 3, so q should be a multiple of 3.
We want to start with the smallest multiples of 3, but if we use q = 3, then we will have a negative value of p (the same happens if we use 1 = 6)
We do not want that, then we need to use q = 9
p = 9*(17/3) - 36
p = 3*17 - 36
p = 15
Then we have;
9 times the number 7
15 times the number 5 (plus one, because it was already on the first 6 numbers that Sam wrote)
The smallest possible value of q is 9.
Now we want to get the smallest possible value of q.
Remember, p and q need to be positive numbers.
Laws of indices
a) b^4 x b^5
b) x^6 devided by x
c) 5x^2 x 3x^4
d) 21c^8 devided by 7c^7
Answer:
a) b^4×b^5
hope it helps..,
Which equation is true?
Answer:
2nd option is correct answer
Answer:
-56/8 = -7
Step-by-step explanation:
Three consecutive even integers have a sum of 18. find the integers
Answer:
5,6,7
Step-by-step explanation:
x-1+x+x+1=18
3x=18
x=6
5,6,7
Describe at least two events where a probability is 100% PLEASE HELP BRAINLIST!
Answer:
1) The probability that at least 2 support Green is 1 minus the probability that 0 people or 1 person supports Green
2) The probability that exactly 1 person supports Green
Step-by-step explanation:
A pair of jeans that originally cost $40 was marked up 50%. During a sale the jeans were discounted 50%. What
is the sale price?
Can you explain how to show my work step by step
Answer:
20$
Step-by-step explanation:
50% of 40= 20
dave uses the associative property of multiplication to write an expression that is equivalent to 8 times 5 times b which expression did he write
Answer:
The associative property of multiplication
8 . ( 5. b ) = ( 8. 5) . b
Step-by-step explanation:
Explanation
The associative property of multiplication
a . ( b. c ) = ( a. b) . c
Given numbers are 8, 5 and b
The associative property of multiplication
8 . ( 5. b ) = ( 8. 5) . b
8 . ( 5. b ) = ( 8. 5) . b = 40 b
Does anyone know?????
Answer:
y=x+1
Step-by-step explanation:
Answer-
Step-by-step explanation:
you guys help me rn!!
which two lines are parallell
Answer:
line k is parallel to line m
Step-by-step explanation:
120 + 60 = 180
but these are co interior angles for lines k and m.
hence the lines k and m are parallel to each other
what is -4(x+3)=16-4x
Answer:
There is no solution
Step-by-step explanation:
-4(x+3)=16-4x
expand
−4x−12=16−4x
cancel out
−12=16
because −12=16 is false there is no solution.
Hope this helps :)
HELP The center of a circle is 5 units below the origin, and the radius is 10 units. What is the equation of this circle?
A: x^2 + (y + 5)^2 = 10
B: (x + 5)^2 + y^2 = 10
C: x^2 + (y + 5)^2 = 100
D: (x + 5)^2 + y^2 = 100
Answer:
the answer is c, x^2+(y+5)^2=100.
Step-by-step explanation:
if you go to a graphing calculator and input the equation, you can count the units and see that that’s the right answer.
i also just took the quiz on edge and got a 100%
Answer:
a
Step-by-step explanation:
just got it right on edge
"solve for X" any help would be appreciated thankss
Answer: x = 5
Step-by-step explanation:
how do i solve this?
Answer: the first box put 2
The second box put 3
Step-by-step explanation:
i will explain in the comments below
What is the mean of 84 85 85 86 90 92
Answer: The mean is 87
84+ 85 + 85+ 86 +90+ 92 = 522/6 = 87
Step-by-step explanation:
Answer:
87
Step-by-step explanation:
To find the mean of the a set of numbers, we first need to add all the numbers and divide by the number of terms in the set.
84 + 85 + 85 + 86 + 90 + 92 = 522
There are 6 terms so we divide by 6
522/6 = 87