Each subinterval would have length ∆x = (4 - 2)/n = 2/n
Solve the Quadratic
2x^2–5x-8=0
Solution 1:
Solution 2:
[tex]2x^2 -5x-8 =0\\\\\implies x = \dfrac{ -(-5) \pm \sqrt{(-5)^2 - 4\cdot 2 \cdot (-8)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{5 \pm \sqrt{89}}{4}\\\\\\\text{Hence}~ x = \dfrac{5 + \sqrt{89}}{4},~~ x = \dfrac{5 - \sqrt{89}}{4}[/tex]
Answer:
[tex]\sf \boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]
[tex]\sf \boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]
✰Step-by-step explanation✰ ⤵[tex]\sf 2x^2-5x-8=0[/tex]
☁ We'll solve this equation using The Quadratic Formula:
[tex]\boxed{\sf \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
A= 2, b= -5, c= -8
[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}}{2\times \:2}[/tex]
[tex]\mapsto \sf \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}[/tex]
[tex]**\sf \left(-5\right)^2=5^2[/tex]
[tex]\mapsto \sf \sqrt{5^2+4\times \:2\times \:8}[/tex]
[tex]\mapsto \sf \sqrt{5^2+64}[/tex]
[tex]\mapsto \sf \sqrt{89}[/tex]
______________
[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{89}}{2\times \:2}[/tex]
☁ Now, we'll Separate solutions, first, we'll solve the equation when ± is plus:
[tex]\mapsto \sf \cfrac{-\left(-5\right)+\sqrt{89}}{2\times \:2}[/tex]
☁ Multiply 2*2 =4
[tex]\boxed{\sf \cfrac{5+\sqrt{89}}{4}}[/tex]
_________________
☁ Now solve the equation when ± is minus:
[tex]\mapsto \sf \cfrac{-\left(-5\right)-\sqrt{89}}{2\times \:2}[/tex]
☁ Multiply 2*2 =4
[tex]\boxed{\sf \cfrac{5-\sqrt{89}}{4}}[/tex]
[tex]\sf Solution \:1:\boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]
[tex]\sf Solution \:2:\boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]
☁❅☁❅☁☁❅☁❅☁☁❅☁❅☁❅☁
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Write the equation of the line that passes through (-2, 4) and is perpendicular to x = 3.
Check the picture below.
41/2≤1.2x what is the answer
Answer:
i can help just meassage me
Step-by-step explanation:
ok thak u
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Step-by-step explanation:
x = 2
2
Select the correct answer.
Which statement is true about this equation?
-412p+5) + Bp=-11
A. The equation has one solution, p=2.
B. The equation has one solution, p=-2.
C. The equation has no solution.
D. The equation has infinitely many solutions.
Step-by-step explanation:
The equation has infinite solution p=2 that's tour variable
If (-3)-5=1/xwhat is the value of x?
Option A
Option A -243
if any doubt leave a comment and don't forget to give BRAINLIEST
A pollutant breaks down at a rate of 2% a year. What fraction of the current amount will be present in 20 years? Let X(0) = 1.
Answer:
Step-by-step explanation:
X = 1(1 - 0.02)ⁿ
X = 1(0.98)²⁰
X = 0.6676
67%
Using an exponential equation, it is found that 66.76% of the current amount will be present in 20 years.
A decaying exponential function has the following format:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(t) is the initial value.r is the decay rate, as a decimal.In this problem, breaks down at a rate of 2% a year, hence [tex]r = 0.02[/tex], and:
[tex]A(t) = A(0)(1 - 0.02)^t[/tex]
[tex]A(t) = A(0)(0.98)^t[/tex]
The fraction after 20 years is A(20), hence:
[tex]A(20) = A(0)(0.98)^{20}[/tex]
[tex]A(20) = 0.6676[/tex]
66.76% of the current amount will be present in 20 years.
A similar problem is given at https://brainly.com/question/14773454
A caterer needs between 42 and 50
cupcakes for dessert. Name two possible
numbers between 42 and 50 that are
multiples of 4. Explain.
Answer:
404 & 408
Step-by-step explanation:
The width of a rectangle is 6 kilometers
a
less than twice its length. If its area is
56 square kilometers, find the
dimensions of the rectangle.
Answer:
9,333333333333333 and 6 Km
Step-by-step explanation:
The width of a rectangle is 6 kilometers
less than twice its length. If its area is
56 square kilometers, find the
dimensions of the rectangle.
the area of the rectangle is found by multiplying the width by the height, you have the area and the width, divide the area by the width and find the length
56 : 6 = 9,333333333333333 Km
-----------------------------
check
9,333333333333333 * 6 = 56
the answer is good
Write an equation for the hangers below and solve (will give brainless if correct!)
Answer:
1) 5x+2=17
2) 5(2+x)=17
Step-by-step explanation:
1) subtract 2 from both of the sides, then you get 5x=15. Divide 5 on both sides, then you get X=3
2) Use distributive property and multiply 5 and 2 and you get 10, then do the same thing with the x. You should get 10+5x=17. Subtract 10 from both sides. Then you are left with 5x=17, divide 5 on both sides you should get x=7/5
Hope this helps!
What ordered pair describes the location of point A?
Enter your answer by filling in the boxes.
HELP ASAP
please help struggling a lot!
Answer:
- 162, 486, - 1458
Step-by-step explanation:
To find the next term in a geometric sequence , multiply the previous term by the common ratio r
r = [tex]\frac{T_{2} }{T_{1} }[/tex] = [tex]\frac{-18}{6}[/tex] = - 3 , then
T₄ = T₃ × - 3 = 54 × - 3 = - 162
T₅ = T₄ × - 3 = 486
T₆ = T₅ × - 3 = - 1458
A car travelling at a constant speed covers 585 km in 9 hours. In how much time will it cover in 520 km? I want the answer in direct or inverse proportion.
Answer:
It took eight hours to travel 520km
Step-by-step explanation:
5.
Identify the axis of symmetry of the parabola.
A. y = −1
B. x = −1
C. x = 1
D. y = 1
Answer:
B. x = −1
Step-by-step explanation:
In the graph, the vertex of the parabola hits point (-1,-2). Therefore, the axis of symmetry is x = -1. It is not y = -2, since the parabola opens vertically, not horizontally.
Evaluate the expression using the values given.
4y(y + x); use x= 3/2, and y = -5/4
Answer:
-5/4 or -1 1/4
Step-by-step explanation:
Okay! We'll take this problem one part at a time so that the process is less confusing and less difficult. Here's what our expression looks like when we replace x with 3/2 and y with -5/4:
[tex]4(-\frac{5}{4} )(\frac{3}{2} +-\frac{5}{4} )[/tex]
Looks a little scary! We can start by working within the parentheses and adding the two fractions together. First, we have to make each fraction have the same denominator, so we can multiply each fraction by 3/2 to get both our fractions a denominator of 4.
[tex]\frac{3}{2} *\frac{2}{2} =\frac{6}{4}[/tex]
[tex]\frac{6}{4} + -\frac{5}{4} =\frac{1}{4}[/tex]
Now, our expression is a little easier to work with. It looks like this now:
[tex]4(-\frac{5}{4} )(\frac{1}{4})[/tex]
First, let's multiply 4 by -5/4. Then, we'll take that product and multiply it by 1/4 to get our final answer.
[tex]\frac{4}{1} * -\frac{5}{4} =-\frac{20}{4} =-5[/tex]
Alright, this is our simplest expression yet. What's -5 times 1/4?
[tex]-\frac{5}{1} * \frac{1}{4} =-\frac{5}{4}=-1\frac{1}{4}[/tex]
So our answer is -5/4, or -1 1/4. Hopefully that's helpful! :)
is 0.667 elastic or inelastic?
Answer:
inelastic is the answer
keep safe
A line contains the points (1, 2) and (0,1). What is the equation of the line?
Answer:
y = x + 1
Step-by-step explanation:
Slope: (1-2)/(0-1) = -1/-1 = 1
y-intercept: 1 - (-2)(0) = 1
y = x + 1
)) Type the missing numbers in this sequence: -3, -8, -13, -18,
Answer:
23
Step-by-step explanation:
first off if your to take away 3 from 8 you'd get five and the same goes for the rest
I.e
8-3=5
13-8=5
18+5=23
as 23 -18 would give you you 5
Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) + 4 O = A. (8 + 4) = 3 B. 8. (3 + 4) OC. (3 + 8) = 4 O 8) D. (3 + 4) : (8 + 4) SUBMIT
Answer:
C
Step-by-step explanation:
known by checking all the answers for chooses
Evaluate (32 – 1)when z = 6
Answer:
17
Step-by-step explanation:
(3z - 1) when z = 6
Let's plug in 6 into the equation (3(6)-1)
Now we multiply the parenthesis (18-1)
Now we subtract (17)
So the answer is 17!
3. A certain container of mouthwash usually costs $2.99 at a store. If it is on sale for 20% off how much does the mouthwash cost now?
A. $2.75
B. $2.77
C. $2.40
D. $3.74
Answer:
the answer is D Because
Step-by-step explanation:
so I will say about $3.74
A delivery company has a fleet of vans. The annual operating cost in dollars) per van is C = 0.37m + 2600, where m is the number of miles traveled by a van in a year. What number
of miles will yield an annual operating cost of $13,700?
mi
Answer:
Step-by-step explanation:
put C=13,700 and find m
The number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.
How to determine What number of miles will yield an annual operating cost of $13,700To find the number of miles that will yield an annual operating cost of $13,700, we need to solve the given equation for \(m\):
\[C = 0.37m + 2600\]
Given \(C = 13700\), we can substitute this value into the equation and solve for \(m\):
\[13700 = 0.37m + 2600\]
Subtract 2600 from both sides:
\[11100 = 0.37m\]
Now, divide both sides by 0.37:
\[m = \frac{11100}{0.37}\]
Calculate the value of \(m\):
\[m \approx 30000\]
So, the number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.
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#SPJ3
Find the missing value using the given information
(4,p), (p,-3), m=5/3
Answer:
p = 11/8
Step-by-step explanation:
We are trying to find the slope, so use the slope formula
m = ( y2-y1)/(x2-x1)
5/3 = ( -3 -p)/ ( p-4)
Using cross products
5(p-4) = 3(-3-p)
5p-20 = -9-3p
Add 3p to each side
5p+3p -20 = -9-3p+3p
8p-20 = -9
Add 20 to each side
8p-20+20 =-9+20
8p =11
Divide by 8
8p/8 = 11/8
p = 11/8
Is (x + 6) a factor of f(x) = x3 − 3x2 + 2x − 8? Show how to use either the remainder theorem or the factor theorem to explain your reasoning.
Answer:
x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.
Step-by-step explanation:
→ Substitute x = -6 into f ( x )
( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8
→ Simplify
216 - 108 + 12 - 8
→ Simplify further
112
Work out the missing numbers
-6x_= -30
-6x_= 0
-6x _=18
_x-6= -54
Answer:
1. 5
2. 0
3. -3
4. -38
Step-by-step explanation:
from 1 to 4 i answered and solved hope its helpful
What is the lcm of 24, 18, and 6
we have 24= 2^3 x 3 ; 18=2 x 3^2 ; 6=2 x 3
so LCM of 24, 18, 6 is 2^3 x 3^2 = 72
ok done. Thank to me :>
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling
the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
A. -10m + 200 = 60
B. -50m + 200 = 60
C.-10m + 140 = 60
D. -50m + 140 = 60
Answer:
M/140 = 50/60 or C
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
The product of two consecutive even integers is 6 more than 3 times their sum. The integers are: a. 6,8 b. 16, 20 12, 16 d. 20, 24 C.
Answer:
a. 6,8
Step-by-step explanation:
The only offered answer choice that lists consecutive even integers is ...
a. 6,8
_____
Consecutive even integers differ by 2, not 4.
__
Check
The product is 6×8 = 48.
Three times the sum is 3(6+8) = 3(14) = 42.
The product is 6 more than 3 times the sum. 42+6 = 48
Write the equation of a line that has a
slope of 7, and passes through the
point (-2,5). Show your work.
Answer: Y=7x+19
Step-by-step explanation:
got no time for explain hope this helper
9514 1404 393
Answer:
y -5 = 7(x +2)
Step-by-step explanation:
Values for the slope and a point are given. That makes it convenient to use the point-slope form of the equation for a line:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -5 = 7(x +2) . . . . . . line with slope 7 through point (-2, 5)
__
Sometimes, you want the slope-intercept form of the equation. That can be found by solving for y
y -5 = 7x +14 . . . . . . . . eliminate parentheses
y = 7x +19 . . . . . . . . . . add 5 to both sides
__
In standard form, the same line has equation ...
7x -y = -19
whats the answer can someone answer please
Answer:
both are c
Step-by-step explanation: