Answer:
x=8.625
Step-by-step explanation:
ok so the lines mean absolute value so its actuall positive soyou get 3+8x+8=80
so add 3 and 8 to get 11+8x=80
subtract 11 to get 8x=69
then divide it by 8 so x is by itself
x=8.625 hope this helped :)
Answer:
x = 3 , x = -3
Step-by-step explanation:
3 | -8x | + 8 = 80
3 | -8x | = 72
Solve the negative and positive case:
Negative-
-3 ( -8x ) = 72
24x = 72
x = 3
Positive-
3 (-8x ) = 72
-24 = 72
-x = 3
x = -3
I need to know the answer
an athlete runs 8 miles from their house to the store on a path. the athlete then runs to a point m miles from their house on the same path. the athlete decides to finish the run by returning to the store. the athlete ran a total of 16 miles. formulate an absolute value equation to represent this situation. then solve the equation.
h+p=4(k−7) for k please answer
Answer:
(28 + h + p)/4 = k
Step-by-step explanation:
Step 1: Write equation
h + p = 4(k - 7)
Step 2: Solve for k
Distribute 4: h + p = 4k - 28
Add 28 to both sides: 28 + h + p = 4k
Divide both sides by 4: (28 + h + p)/4 = k
# What does it mean if a quadratic polynomial
is prime? Give two examples of quadratic
polynomials that are prime. Now, find a quadratic
polynomial that is prime.
Answer:
A quadratic polynomial is a type of polynomial that cannot be factored
Examples are;
x^2 + 3x + 5
x^2 + 5x + 7
Step-by-step explanation:
A quadratic polynomial is a type of polynomial which cannot be factored. Just like prime numbers, it only has two factors, 1 and itself.
Hence, a quadratic polynomial does not have rational roots. Its roots are complex and not real
Example are as follows;
(i) x^2 + 3x + 5
(ii) x^2 + 5x + 7
[tex]\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}[/tex]
# What does it mean if a quadratic polynomial
is prime? Give two examples of quadratic
polynomials that are prime. Now, find a quadratic
polynomial that is prime.
[tex]\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}[/tex]
[tex]\color{red}{About \:Quadratic \: polynomials\: :-}[/tex]
➯ A polynomial having degree 2 is called a quadratic polynomial.
➯ The form of quadratic polynomial is
[tex]p(x) = a {x}^{2} + bx + c[/tex]
➯ Degree of the quadratic polynomial will be 2.
➯ Variable of the quadratic polynomial will be 1.
[tex]\color{red}{For \:example :-}[/tex]
[tex]p(x) = 2 {x}^{2} + 5x + 3 \\ 3 \:➝ \: constant \\ 2 \: and \: 5 \: ➝ \: coefficient \\ {}^{2} \: ➝ \: degree \\ x \:➝ \: variable \:[/tex]
➯ In a quadratic polynomial there are 2 zeros because it has degree 2.
[tex]\color{red}{➯ The \: 2\: zeros \:are :-}[/tex]
[tex]i) \: \: alpha( \alpha ) \: \\ ii) \: beta \: ( \beta )[/tex]
[tex]\color{red}{For \:example :-}[/tex]
[tex]p(x) = 2 {x}^{2} + 5 + 3 \\ = 2 {x}^{2} + 2x + 3x + 3 \\ = 2x(x + 1) + 3(x + 1) \\ = (x + 1)(2x + 3) \\ \\ As, \: \: p(x) = 0 \\ \\ ❥∴ \: (x + 1)(2x + 3) = 0 \\ x + 1 = 0 \\ x = - 1 \\ \\ ❥ \: 2x + 3 = 0 \\ 2x = - 3 \\ x = \frac{ - 3}{2} \\ \\ Here, \: \alpha = - 1 \\ \beta = \frac{ - 3}{2} [/tex]
-2/5x + 2 find the inverse
Find the value mean value of 5,15,25,25,45.
Answer:
[tex]\boxed {\tt 23}[/tex]
Step-by-step explanation:
In order to find the mean, we must add all the values together, then divide by the number of values.
1. Add the values together
The values are: 5, 15, 25, 25, 45 Add the together: 5+ 15 + 25 + 25 +45=1152. Divide by the number of values.
Count how many values are in the set of data. There are 5 values. Divide by 5.
Divide: 115/5 =23The mean is 23.
Solving Inequalities
Algebra 1
Answer:
b[tex]\geq[/tex]-12
Step-by-step explanation:
Step 1- Subtract 10 from both sides of the inequality.
New inequality:
4b[tex]\geq[/tex]-48
Step 2- Divide by 4 on both sides of the inequality, to get your answer.
Answer:
b[tex]\geq[/tex]-12
Find the quotient using polynomial long division:
1. (50y^3+10y^2-35y-7)divided by(5y-4)
2. (8m^4-4m^2+m+4)divided by(2m+1)
(1) [tex]50y^3=5y\cdot 10y^2[/tex], and
[tex]10y^2\cdot(5y-4)=50y^3-40y^2[/tex]
Subtract this from [tex]50y^3+10y^2-35y-7[/tex] to get a remainder of
[tex](50y^3+10y^2-35y-7)-(50y^3-40y^2)=50y^2-35y-7[/tex]
What we've done here is show that
[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=10y^2+\dfrac{50y^2-35y-7}{5y-4}[/tex]
We can keep going as long as the degree of the remainder's numerator is at least the same as the degree of its denominator.
Next, [tex]50y^2=5y\cdot 10y[/tex], and
[tex]10y\cdot(5y-4)=50y^2-40y[/tex]
Subtract this from the previous remainder to get a new remainder of
[tex](50y^2-35y-7)-(50y^2-40y)=5y-7[/tex]
which means
[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=10y^2+10y+\dfrac{5y-7}{5y-4}[/tex]
Finally, [tex]5y=5y\cdot1[/tex], and
[tex]1\cdot(5y-4)=5y-4[/tex]
Subtract this from the previous remainder to get
[tex](5y-7)-(5y-4)=-3[/tex]
So we end up with
[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=\boxed{10y^2+10y+1}-\dfrac3{5y-4}[/tex]
(the quotient is the expression in the box)
(2) Using the same process as before:
[tex]8m^4=2m\cdot4m^3[/tex]
[tex]4m^3\cdot(2m+1)=8m^4+4m^3[/tex]
[tex](8m^4-4m^2+m+4)-(8m^4+4m^3)=-4m^3-4m^2+m+4[/tex]
[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-\dfrac{4m^3+4m^2+m+4}{2m+1}[/tex]
[tex]-4m^3=2m\cdot(-2m^2)[/tex]
[tex]-2m^2\cdot(2m+1)=-4m^3-2m^2[/tex]
[tex](-4m^3-4m^2+m+4)-(-4m^3-2m^2)=-2m^2+m+4[/tex]
[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-2m^2-\dfrac{2m^2-m-4}{2m+1}[/tex]
[tex]-2m^2=2m\cdot(-m)[/tex]
[tex]-m\cdot(2m+1)=-2m^2-m[/tex]
[tex](-2m^2+m+4)-(-2m^2-m)=2m+4[/tex]
[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-2m^2-m+\dfrac{2m+4}{2m+1}[/tex]
[tex]2m=2m\cdot1[/tex]
[tex]1\cdot(2m+1)=2m+1[/tex]
[tex](2m+4)-(2m+1)=3[/tex]
[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=\boxed{4m^3-2m^2-m+1}+\dfrac3{2m+1}[/tex]
what is the answer to 2x + 4 = x + 10
Answer:
6=x
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x-4-(4*x-10)=0
Which number line below is correct? * 1 point Option 1 Option 2 Option 3 Option 4
what is one way to find the number of meters in 7 kilometers?
Answer:
7000.00 m
Step-by-step explanation:
The density of a certain material is such that it weighs 7 pounds for every 5.5 cups of volume. Express this density in kilograms per pint. Round your answer to the nearest hundredth.
Answer:
[tex]Density = 1.1546\ kg/pint[/tex]
Step-by-step explanation:
Given
[tex]Mass = 7\ lb[/tex]
[tex]Cups = 5.5[/tex]
Required
Determine the density in Kg/Pint
Density is calculated as thus:
[tex]Density = \frac{Mass}{Volume}[/tex]
[tex]Density = \frac{7\ lb}{5.5\ cups}[/tex]
Convert pound to kg
[tex]Density = \frac{7/ 2.205\ kg}{5.5\ cups}[/tex]
[tex]Density = \frac{3.17515\ kg}{5.5\ cups}[/tex]
Convert cups to pint
[tex]Density = \frac{3.17515\ kg}{5.5/2\ pint}[/tex]
[tex]Density = \frac{3.17515\ kg}{2.75\ pint}[/tex]
[tex]Density = 1.1546\ kg/pint[/tex]
hurry I'm going to give free brainly to all who answer in 1 minute Q: If a person was born in 1962 how old would they be Q:16549x1348965 =? Q: What does SIMP mean easy but understanding
Answer:
they would be 58 rn. and simp means someone who is willing to do anything for someone they like. they try to get with that person everyday and they like them alot.
Step-by-step explanation:
hope this helped
1. person would be 58
2. 16549 x 1348965= 8834371785
3. a simp is someone who would do anything for someone and they dont really expect anything back except for a relationship *sad*
Need ASAP!! Helppppp
Answer:
171 degrees (C)
Step-by-step explanation:
Because you have to find the overall angle you add both angles together, hence giving you 171 (C)
Answer:
171°
Step-by-step explanation:
Angle KJU = 67° Angle UJI = 104°
By adding 67 and 104, you would get 171, which is the angle of KJI.
A watering can dispenses water at the rate of 0.25 gallon per minute. The original volume of the water in the can was 6 gallons. Which set of ordered pairs shows the volume of water in the can in gallons, (y) as a function of time in minutes, (x) from the first minute after the can starts dispensing water?
A. {{1, 6.0), (2, 5.75), (3, 5.50}}
B. {{6.0, 1), (5.75,2), (5.50, 3}}
C.{{1, 5.72), (2, 5.50), (3,5.25}}
D{{5.75,1), (5.50,2), (5.25, 3}}
Answer:
C.{{1, 5.72), (2, 5.50), (3,5.25}}
A farmer has 180 yards of fencing material to make a rectangular
pen subdivided into 3 smaller pens. If the total length of the pens
is to be 60 yards, at most, how wide can the rectangle be?
Answer: 60 yd
Step-by-step explanation:
Here: subdivided into 3 smaller pens (2w + w + w) extra widths for separation purposes (3 smaller pens)
180 yards of fencing material
180yd = 2L + 4w
180dy = 2*60 + 4w
60dy = 4w
w = 15yd, how wide can the rectangle can be with L = 60yd
simplify using i 3+2i/6+5i
Someone plz help me with this problem:
An elevator ascends from rest with an acceleration of 0.6 ms^2 before slowing down with a decelleration of 0.8 ms^2 for the next stop. The total time taken is 10 seconds. Find the distance between the stops. The answer is 17.1 but I dont understand how to get it . Dont answer if you dont know or I will report you.
I'll be using the following variables and values
t = duration of time from rest to max speed (before it starts to decelerate). This means the other portion of the trip takes 10-t seconds a1 = 0.6 = acceleration when elevator is speeding up a2 = -0.8 = acceleration when elevator is slowing down VS1 = start velocity #1 = 0 = elevator is at rest VF1 = final velocity #1 = final velocity when acceleration process stops VS2 = start velocity #2 = starting velocity when deceleration kicks in VF2 = final velocity #2 = final velocity when deceleration is done = 0 d1 = distance from rest to max speed (acceleration) d2 = distance from max speed to 0 (deceleration)I will also be using the two kinematics equations
Vf = Vi + at x = Vi*t + 0.5*at^2where Vi and Vf are the initial and final velocities respectively, 'a' is the acceleration, t is time, and x is displacement.
----------------------------------------------------------------------------------------------
To start, let's focus on just the accelerating portion of the journey.
The elevator starts at rest, so VS1 = 0. It reaches some current unknown final velocity, but we can calculate that as such
Vf = Vi + at
VF1 = VS1 + a1*t
VF1 = 0 + 0.6*t
VF1 = 0.6t
The elevator reaches a top speed of 0.6t meters per second after traveling and accelerating t seconds.
----------------------------------------------------------------------------------------------
Let's see how much the elevator is displaced after those t seconds (again only focus on the journey where the elevator is speeding up for now)
x = Vi*t + 0.5*at^2
d1 = VS1*t + 0.5*a1*t^2
d1 = 0*t + 0.5*0.6*t^2
d1 = 0.3t^2
The elevator travels 0.3t^2 meters when it is speeding up. We'll use this later.
----------------------------------------------------------------------------------------------
Now onto the portion where the elevator is slowing down.
The starting speed for this portion is VS2 = VF1 = 0.6t because the transition from the last bit of the accelerating portion to the decelerating portion has no gaps. Let's assume it's a smooth transition without any sudden bumps to make the ride uncomfortable.
Let's find the displacement for this portion.
x = Vi*t + 0.5*at^2
d2 = VS2*(10-t) + 0.5*a2*(10-t)^2 .... note the 10-t terms
d2 = 0.6t*(10-t) + 0.5*(-0.8)(100-20t+t^2)
d2 = 6t-0.6t^2 - 40+8t-0.4t^2
d2 = -t^2 + 14t - 40
This is the distance it travels from its top speed, decelerating all the way down to rest.
----------------------------------------------------------------------------------------------
Add the two distances
d = total distance
d = d1+d2
d = ( d1 ) + ( d2 )
d = ( 0.3t^2 ) + ( -t^2 + 14t - 40 )
d = 0.3t^2 - t^2 + 14t - 40
d = -0.7t^2 + 14t - 40
If we knew the value of t (as defined at the very top of this solution), then we could find the total distance traveled.
----------------------------------------------------------------------------------------------
Let's find that value of t.
Recall the following three items
Vf = Vi + at VS2 = VF1 = 0.6t VF2 = 0So,
Vf = Vi + at
VF2 = VS2 + a2*(10-t) ..... note the 10-t portion
0 = 0.6t + (-0.8)(10-t)
0 = 0.6t - 8 + 0.8t
0 = 1.4t - 8
8 = 1.4t
1.4t = 8
t = 8/1.4
t = 5.714 approximately
It takes about 5.714 seconds for the elevator to go from rest to its top speed, before the elevator starts the deceleration process.
----------------------------------------------------------------------------------------------
We can now find the value of d
d = -0.7t^2 + 14t - 40
d = -0.7(5.714)^2 + 14(5.714) - 40
d = 17.1411428
d = 17.1 is the approximate total distance traveled (in meters)
How do you know if an expression is a polynomial ?
Answer:
For an expression to be a polynomial term, any variables in the expression must have whole-number powers (or else the "understood" power of 1, as in x1, which is normally written as x). A plain number can also be a polynomial term.
Step-by-step explanation:
13 cars are parked in a parking lot. each car has four tires. if seven of the tires are damaged then him many tires are in the parking lot are not damaged?
please help me !!
Answer:
45
Step-by-step explanation:
13 x 4 = 52
13 represents # of cars
4 represents tires per car
52 represents total tires
52 tires - 7 damaged tires = 45 undamaged tires
Answer:
45
Step-by-step explanation:
13 * 4=52
52-7=45
45 tires not damaged
is 49 square root larger than 7.1 ?
Answer:
well the square root of 49 is 7 . so maybe this will help you.
Whole Numbers include both positive and negative numbers. t or f
Answer:
t
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Whole numbers only have numbers from 0 forward with no fractions or decimals. {0, 1, 2, 3...}
Can any anyone help me with this problem please Solve : 2x - 1 = 7
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] :
[tex]2x - 1 = 7[/tex]
-Add both sides by [tex]1[/tex] :
[tex]2x - 1 + 1 = 7 + 1[/tex]
[tex]2x = 8[/tex]
-Take [tex]2x[/tex] and divide it on both side of the equation:
[tex]\frac{2x}{2} = \frac{8}{2}[/tex]
[tex]x = 4[/tex]
So, the value of [tex]x[/tex] is [tex]4[/tex].
i5=
Answer choices :
I
-I
1
-1
Answer:
A. i
Step-by-step explanation:
Hope it helped! Have a good day. <3
solve for d:
4−d<4+d
Answer:
d > 0
Step-by-step explanation:
20 percent of 80
5 percent is 80
Answer:
Step-by-step explanation:
20%*80=20/100*80
=16
5/100*x=80
5x=80*100
5x=8000
X=8000/5
=1600
helpp plzzz? thank uuuu
Answer: 30
Step-by-step explanation:
Answer:
10.
Step-by-step explanation:
First of all, the little 2 stands for multiply by 2 so multiply 5 by 2 then you will get 10. Add 10 and 10 so you will get 20. Then divide 20 by 2 and you will get 10!
Hope it helps!
OwO
A concert cleanup crew has 6 workers and one cleanup kit.
Which table shows w=6, the number of cleanup kits needed
for w workers?
Answer:
Option (D)
Step-by-step explanation:
At every 6 crew workers number of clean up kits required = 1
Therefore, for 1 crew worker number of kits required = [tex]\frac{1}{6}[/tex]
And number of kits required for w workers = [tex]\frac{w}{6}[/tex] = w ÷ 6
If w = 54
Number of kits required = [tex]\frac{54}{6}=9[/tex]
If w = 60
Number of kits required = [tex]\frac{60}{6}=10[/tex]
If w = 66
Number of kits required = [tex]\frac{66}{6}=11[/tex]
Therefore, table given in Option (D) is the correct table.
What is the slope of the line represented by the equation y=-2/3-5x?
Answer:
-5
Step-by-step explanation:
Your basic equation if y = mx + b
Convert your equation to the above format: y = -5x -2/3
Now you can see that your slope is -5
Answer:
- 5
Step-by-step explanation:
[tex]y = - \frac{2}{3} - 5x \\ y = - 5x - \frac{2}{3} ..(1) \\ equating \:equation \: by (1) \: \\ y = mx + b \\ slope \: (m) = - 5[/tex]
please help!
find the equation (in terms of x) of the line through the point (-4,3) and (3,-2)
Answer: y= -5/7 x + 1/7
Step-by-step explanation:
Answer:
[tex]y=-\frac{5}{7} x+\frac{1}{7}[/tex]
Step-by-step explanation:
Equation of a line: [tex]y = mx+b[/tex]
m is the slope, and b is the y-intercept.
m = [tex]\frac{rise}{run} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-2-3}{3-(-4)} =-\frac{5}{7}[/tex]
Now, we have [tex]y=-\frac{5}{7} x+b[/tex]
We can insert one set of points in to solve for b.
We will use the first point (-4, 3):
[tex]3=-\frac{5}{7} (-4)+b[/tex]
[tex]\frac{5}{7}* \:4+b=3[/tex]
[tex]\frac{20}{7}+b=3[/tex]
[tex]b=\frac{1}{7}[/tex].
Equation:[tex]y=-\frac{5}{7} x+\frac{1}{7}[/tex]
