solve the following quadratic equation
2×2-x=21
[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]
Answer:
x1=7/4, x2=-3
Step-by-step explanation:
[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]
A Taxi Service charges $1.00 for the first 1/10 mile then $0.10 for each additional 1/10 mile after that.
Fill in the table with the missing information then determine if this relationship between distance traveled and price of the trip is a proportional relationship.
distance traveled (mi) price(dollars)
9/10
2
3 1/10
10
Thnanks!
9 / 10 = Total Price: 1.90
2 = Total Price: 3.00
3 1 / 10 = Total Price: 4.10
10 = Total Price: 11.00
Could somebody please help with this?
the x-intercept is the point where the line touches the x-axis. The x-intercept is (4,0)
the y-intercept is the point where the line touches the y-axis. The y-intercept is (0,-2)
I HAVE 2 LEFT PLEASE HELP WILL GIVE BRAINLIEST
Dracos invested $125,000 in 2008. Each year its value increased by 5%. Which of the following equations can be used to represent the investment value after x years.
Group of answer choices
f(x)=125,000(1.05)x
f(x)=15(125,000)x
f(x)=125,000(0.85)x
f(x)=85(125,000)x
Answer:
f(x)=125k(1.05)x
Step-by-step explanation:
ommg
ok so every year it increase by 5%, aka 105%
which is 125k*105/100x which is the first one f(x)=125k(1.05)x
if u are not sure than use cross of elinimation
cant be 2nd one cause its not correct
third one ur decreasing
fourth one is just like the 2nd one
Choose the inequality that could be used to solve the following problem.
Three times a number is at most negative six.
(A) 3x ≤ -6
(B) 3x < -6
(C) 3x ≥ -6
(D) 3x > -6
Answer:
I believe the answer is A
Step-by-step explanation:
three times x can be equal to, but never greater than -6
Answer:
A. 3x ≤ -6
Step-by-step explanation:
the sentence ‘3x is at most -6
means that the most 3x is allowed to be is -6
it can be -6 or any number less than -6
So, the phrase 3x is at most -6
’ means ‘
3x ≤ -6
I will give brainliest!
Arwen created a copy of a certain line segment. What do you know is true about these two line segments?
1. The measure of the original line segment will be twice the measure of the copy.
2. The measure of the original line segment will be half the measure of the copy.
3. The endpoints will have the same letters.
4. They are congruent.
A copy of a line segment will have the same measure or length as the segment.
The true statement is (4) They are congruent.
From the question, we understand that a copy of the line segment is created.
This means that the new segment has the exact property as the original line segment.
Hence, both lines are congruent, and the true statement is (d)
Read more about line segments at:
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Find the simple interest on Rs. 4500 for 6 months at
the rate of 5 paise per rupee per month.
helping help
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
Sir your answer is 15
Step-by-step explanation:
Hope this helps luis
write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)
[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]
The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism and the cube?
Answer:
[tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle V_P = 2x^3 - 6x^2 + 8x[/tex]
[tex]\displaystyle V_C = 27x^3[/tex]
Step 2: Find Combined Volume
[Set up] Add: [tex]\displaystyle V_P + V_C = V_{P + C}[/tex]Substitute in variables: [tex]\displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x[/tex]Combine like terms: [tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]PLEASE HELP ITS 10TH GRADE GEOMETRY
Hope you could get an idea from here.
Doubt clarification - use comment section.
Joe has eaten 3/5 of a pizza. Jane has eaten 1/9 of a pizza . How many times more pizza has joe earthen then Jane
Answer:
5/10 more
Step-by-step explanation:
Factorise 9a³ - 27a² - 100a + 300, if it is given that (3a + 10) is a factor of it.
Answer:
(3a + 10)(3a - 10(a - 3).
Step-by-step explanation:
Do a long division:
3a + 10 ) 9a^3 - 27a^2 - 100a + 300 ( 3a^2 - 19a + 30 <----- Quotient
9a^3 + 30a^2
-57a^2 - 100a
-57a^2 - 190a
90a + 300
90a + 300
..................
Factorise the Quotient:
3a^2 - 19a + 30
= 3a^2 - 9a - 10a + 30
= 3a(a - 3) - 10(a - 3)
= (3a - 10)(a - 3)
First person to answer will get brainliest and it has to be in 4 or less minutes
Given the function f described by fly)=9y2 + 7y-6, find the function values.
f(-5) = 0
(Simplify your answer. Type an integer or a fraction.)
Answer:
f(- 5) = 184
Step-by-step explanation:
Substitute y = - 5 into f(y) , that is
f(- 5) = 9(- 5)² + 7(- 5) - 6
= 9(25) - 35 - 6
= 225 - 41
= 184
PLS HELP!!! WILL MARK BRAINLIEST!!
Answer:
All real numbers
Step-by-step explanation:
It can go on to infinity.
Hope that helps
1. Convert 36 inches into feet. A. 3.5 ft B. B. 3 ft C. 2.5 ft D. 2 ft
Solve for x in the equation X2 - 12%+ 36 = 90.
X
X = 6+3/10
Ox=6+2/7
<
= 12+ 3922
X= 12+3/10
X=
Answer:
x = 6 ± 3√
Step-by-step explanation:
Step-by-step explanation:Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a,
The solutions to the equation are:
x = 6 + 3 √(10) or x = 6 - 3 √(10)
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
x² - 12x + 36 = 90
Subtracting 90 from both sides.
x² - 12x - 54 = 0
To solve for x, we can use the quadratic formula.
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation
ax² + bx + c = 0.
In this case, a = 1, b = -12, and c = -54.
Substituting these values into the formula.
x = (-(-12) ± √((-12)² - 4(1)(-54))) / 2(1)
x = (12 ± √(144 + 216)) / 2
x = (12 ± √(360)) / 2
x = 6 ± 3 √(10)
Therefore,
The solutions to the equation are:
x = 6 + 3 √(10) or x = 6 - 3 √(10)
Learn more about equations here:
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A sticker costs 25 cents. How many dollars is that?
Answer:
Boy.... Its one forth a dollar.
Step-by-step explanation:
1/4
[tex]\sf 6x+4y-2x[/tex]
Answer:
4(x + y)
Step-by-step explanation:
6x + 4y - 2x
6x - 2x + 4y
4x + 4y
Taking 4 as common
4(x + y)
Find a formula for the Nth term of sequence:
3,5,9,17
Answer:
an = 1 +2^n
Step-by-step explanation:
The given terms do not have a common ratio or a common difference. The differences of the given terms are ...
5 -3 = 2
9 -5 = 4
17 -9 = 8
These differences have a common ratio of 2, indicating an exponential sequence with a base of 2.
The terms 2^n are 2, 4, 8, 16. We notice that the given terms are 1 more than these values. The sequence is ...
an = 1 +2^n
Answer:
Try!
Step-by-step explanation:
Hey y’all please help me ASAP.
Answer:
the top right box
Step-by-step explanation:
Answer:
-g-8≥9
Step-by-step explanation:
Just ask.
Hope this helps. :)
write slope - intercept form equation that has initial value of -100 and rate of change of 25
Answer: The slope intercept form equation is y = 25x - 100.
Plz help
Find ‘x’ & ‘y’
Answer:
x=20. y=15
Step-by-step explanation:
in similar triangles the sides are all in proportion. this means:
[tex] \frac{25}{5} = \frac{x}{4} = \frac{y}{3} [/tex]
[tex] \frac{25}{5} = 5[/tex]
so:
[tex] \frac{x}{4} = 5[/tex]
x=5×4
x=20
and...
[tex] \frac{y}{3} = 5[/tex]
y=3×5
y=15
I need help. what is the slope?
(The bottom one says : (-1, -6)
Answer #3 & #4 with proof please ! I'll give you brainliest :)
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides , then
2x - 6 + x + 4 + 10 > 50
3x + 8 > 50 ( subtract 8 from both sides )
3x > 42 ( divide both sides by 3 )
x > 14
(4)
The area is calculated by multiplying length and breadth , then
3(4x - 2) < 138 ( divide both sides by 3 )
4x - 2 < 46 ( add 2 to both sides )
4x < 48 ( divide both sides by 4 )
x < 12
A shop has a sale that offers 40% off all prices. On the final day, they reduce all sale prices by 30%. Alex buys a hairdryer on the final day.
Work out the overall percentage reduction on the price of the hairdryer.
Answer:
82%
Step-by-step explanation:
They are doing 0.6x with the first sale, then 70% of 0.6x for the second. So, the first sale would be 0.6x, and the second sale would be 0.42x. You subtract them to get 0.18x. So, 0.18x/x=18%. You would pay 18%, and the shop reduced 82%
(-a + (-b)) + (-c) = -(a + b) + (-c)
A:associative
B:commutative
C:distributive
D:opposite of a sum
Answer: c
Step-by-step explanation:
An item is regularly priced at $97. It is now priced at a discount of 40% off the regular price.
Answer:
38.8
Step-by-step explanation: 40% of a discount from the regular price of 97 dollars is 38.8
A board isThree boards are placed end to end to make a walkway. The first board is 2 feet 8 inches long, the second board is 6 feet 10 inches long, and the third board is 4 feet 9 inches long. How long is the walkway?
93 inches long. How long is it in feet and inches?
Answer:
wowo
Step-by-step explanation:
