Answer:
When x=1
Step-by-step explanation:
Solving for both equations by putting them both equal to each other.
if x²-5x +1 =0, what is the value of -
[tex](x + \frac{1}{x} ) [/tex]
=================================================
Work Shown:
x^2 - 5x + 1 = 0
x^2 + 1 - 5x = 0
x^2 + 1 = 5x
(x^2 + 1)/x = 5 .... where x is nonzero
(x^2)/x + (1/x) = 5
x + (1/x) = 5
---------------
An alternative method involves solving the original equation using the quadratic formula. After you get the two roots x = p and x = q, you should be able to find that p + 1/p = 5 and also q + 1/q = 5 as well.
In this case,
p = (5 + sqrt(21))/2
q = (5 - sqrt(21))/2
Answer:
5
Step-by-step explanation:
Since this equation is not factorable, you can either use the quadratic formula, graph and look for its zeros, or other methods to get it's zeros.
But using the quadratic formula which always spits out a x value gives me:
4.791 and 0.209.
Now let's test both of these values since we have two x values.
[tex](4.791+\frac{1}{4.791})[/tex] ≈5 (4.9999)
and
[tex](0.209+\frac{1}{0.209})[/tex] ≈5 (4.9936)
WILL MARK BRAINLEST IF I CAN WHOEVER AWNSERS FIRST What is the sign of the product (3)(−25)(7)(−24)?
Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive
Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive
Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative
Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative
Positive because you have two negatives. (3)(-25) is a negative number, (7)(-24) is also a negative number. Negative * negative is positive.
First option is correct
Answer:
First one
Step-by-step explanation:
(3)(−25): product is negative (-75)
(7)(−24): product is negative (-168)
Multiply these values, which are negative, gives you a positive real number (12600) because two negatives gives you a positive
Help!! and it said 20 characters so....
The volume is 1562.4 cm^3
V = (173.6 cm^2)(9cm)
= 1562.4 cm^3
What is the perimeter of the regular hexagon ?
3m
Numerical information in a variety of media
Answer:
Step-by-step explanation:
148 000 000 km + 800 000 km = 148 800 000 km
f(x) = 3x - 2
f(x) = 0, x=?
Answer:
2/3 =x
Step-by-step explanation:
f(x) = 3x - 2
Let f(x) =0
0 = 3x-2
Add 2 to each side
2 = 3x-2+2
2 =3x
Divide by 3
2/3 =3x/3
2/3 =x
Answer:
f(x)=3x-2
0=3x-2
2=3x
2/3=x
x=2/3
let abcd be a square piece of paper. A is folded into c and the b is folded into d. the area of the resulting figure is 9 square inches. Find the perimeter of square ABCD
A.9
B.16
C.18
D.24
E.36
Triangle abc is shown on the graph what are the coordinates of the image of point B after the triangle is rotated 270 about the origin?
Answer: (4,2)
Step-by-step explanation:
Use the box method to distribute and simplify (-3x-6)(-2x-2)
Answer:
6x²+18x+12
Step-by-step explanation:
(-3x-6)(-2x-2)
=-3x(-2x-2)-6(-2x-2)
=6x²+6x+12x+12
=6x²+18x+12
Find the midpoint of the segment with the following endpoints.
(10,5) and (6,9)
Answer:
[tex](8 ,7 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in your 2 coordinates into the midpoint formula to find midpoint:
[tex](\frac{10+6}{2} ,\frac{5+9}{2} )[/tex]
[tex](\frac{16}{2} ,\frac{14}{2} )[/tex]
[tex](8 ,7 )[/tex]
Distribute and simplify the expression: (6x - 4y + z)
Kay created a linear graph to track the height in inches, h, of a pepper plant over a number of weeks, x. The plant's height was 3 inches when purchased. Which statements are true?
A) The graph represents the function h(x) = 1.5x + 3
B) The graph represents the function h(x) = 2x + 3
C)Point (3,0) represents the plant's height when purchased.
D)The plant grows about 1.5 inches each week.
E)The plant grows about 2 inches each week.
Answer:
A) The graph represents the function h(x) = 1.5x + 3
D)The plant grows about 1.5 inches each week.
Step-by-step explanation:
The following statements are true -
The graph represents the function h(x) = 1.5x + 3The plant grows about 1.5 inches each week.What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Kay created a linear graph to track the height in inches [h] of a pepper plant over a number of weeks [x]. The plant's height was 3 inches when purchased.
Since the slope of the graph is 1.5 inches. We can write the equation of the graph as -
y = 1.5x + 3
This also shows, the plant grows about 1.5 inches each week.
Therefore, the following statements are true -
The graph represents the function h(x) = 1.5x + 3The plant grows about 1.5 inches each week.To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ5
"Three times a number divided by 5 is 33." What is the equation for this statement.
Answer:
3x / 5 = 33
Step-by-step explanation:
Let x be the number
3x / 5 = 33
-2(5x+8)=14+6x what are the steps
Answer:
-10x-16=14+6x
-16-14=6x+10x
-30=16x
x=-15/8
Solve 2 s 2x + 4 < 10 for x.
Answer:
C took the test
Step-by-step explanation:
Nikolas and Angela were trying to solve the equation:
3x^2+10x=0
Nikolas said, “I can complete the square. Half of 10 is 5, and 5 squared is 25. So I'll add 25 to both sides, factor, and solve.”
Angela said, “I'll factor the left-hand side of the equation as x(3x+10), and solve using the zero product property."
Whose solution strategy will work?
zero product property (Angela)
Step-by-step explanation:Hi there !
(Angela)
3x² + 10x = 0
x(3x + 10) = 0
x = 0 => x₁ = 0
3x + 10 = 0 => 3x = - 10 => x₂ = - 10/3 = - 3 1/3
Good luck !
Answer:
only angelas
Step-by-step explanation:
An exponential function is not an appropriate model because, for evenly spaced x-values, the ______ of consecutive y-values is not constant.
Answer: ratio on edg.
Step-by-step explanation:
Answer:
ratio
Step-by-step explanation:
11/12-1/6q+5/6q-1/3
Combine like terms to create an equivalent expression.
Answer:
[tex]\frac{7}{12} + \frac{4}{6}q[/tex] or [tex]\frac{7}{12} + \frac{2}{3}q[/tex]
you can also flip the position the the fractions are in
[tex]\frac{4}{6}q + \frac{7}{12}[/tex] or [tex]\frac{2}{3}q + \frac{7}{12}[/tex]
Step-by-step explanation:
[tex]\frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3}[/tex]
first find the like terms
[tex]\frac{11}{12}- \frac{1}{3}[/tex]
↑
times it by [tex]\frac{4}{4}[/tex] to get [tex]\frac{4}{12}[/tex] to make the subtraction easier.
[tex]\frac{11}{12}- \frac{4}{12}[/tex]
and
[tex]\frac{5}{6} q} - \frac{1}{6} q[/tex]
now that they all have the same denominator,
subtract
[tex]\frac{11}{12}- \frac{4}{12}[/tex] = [tex]\frac{7}{12}[/tex]
and
[tex]\frac{5}{6} q} - \frac{1}{6} q[/tex] = [tex]\frac{4}{6} q[/tex]
add them together to get
[tex]\frac{7}{12} + \frac{4}{6}q[/tex]
you can simplify 4/6q to 2/3q
The solution of the expression [tex]\dfrac{11}{12} - \dfrac{1}{6}q + \dfrac{5}{6}q - \dfrac{1}{3}[/tex] by combining like terms is [tex]\dfrac{7}{12} + \dfrac{2}{2}q[/tex].
Used the concept of an equation that states,
A mathematical expression is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that the expression is,
[tex]\dfrac{11}{12} - \dfrac{1}{6}q + \dfrac{5}{6}q - \dfrac{1}{3}[/tex]
Now combine like terms in the equation and solve as
[tex]\dfrac{11}{12} - \dfrac{1}{6}q + \dfrac{5}{6}q - \dfrac{1}{3}[/tex]
[tex]\dfrac{11}{12} - \dfrac{1}{3}- \dfrac{1}{6}q + \dfrac{5}{6}q[/tex]
[tex]\dfrac{(11 - 4)}{12} + \dfrac{5}{6}q- \dfrac{1}{6}q[/tex]
[tex]\dfrac{(11 - 4)}{12} + \dfrac{(5 - 1)}{6}q[/tex]
[tex]\dfrac{(7)}{12} + \dfrac{(4)}{6}q[/tex]
[tex]\dfrac{7}{12} + \dfrac{2}{2}q[/tex]
Therefore, the solution is [tex]\dfrac{7}{12} + \dfrac{2}{2}q[/tex].
To learn more about the equation visit:
brainly.com/question/28871326
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Given f (x) = 17 minus x squared, what is the average rate of change in f(x) over the interval [1, 5]?
Answer:
The average rate of change of the function over the given interval is -6
Step-by-step explanation:
The function we want to find its average rate of change is;
F(x) = 17 - x^2
Mathematically, the average rate of change of a function F(x) over an interval (a,b) can be calculated as;
{F(b) - F(a)}/(b-a)
According to this question, a = 1 and b = 5
F(a) = F(1) = 17 -(1)^2 = 17 -1 = 16
F(b) = F(5) = 17 - 5^2 = 17-25 = -8
So making the substitution; we have
(-8)-16/(5-1) = -24/4 = -6
Answer:
A: -6
Step-by-step explanation:
Lisa is sitting on the dock beside the lake she drops a rock from her hand into the lake after the rock hits the surface of the lake the rocks distance from the lake surface changed at a rate of -3 in./s if Lisa holds her hand 3 feet above the lake surface how hot how far from Lisa's hand is the rock five seconds after hits the surface
Answer: 4.2495 feets
Step-by-step explanation:
Given the following :
Rate of change (speed) when rock hits the lake surface = - 3in/s
Distance or depth after 5 seconds :
Distance = rate of change * time
Distance = (- 3 in/s × 5) = - 15 inches
1 inch = 0.0833 feet
15 inches = (-15 * 0.0833) = - 1.2495 feets
Distance between Lisa's hand and lake surface = 3 feets :
Distance between Lisa's hand and rock after 5 seconds :
(3 feets + 1.2495 feets) = 4.2495 feets
A hairdresser combined three bottles of shampoo into one bottle. The first bottle had 4.8 ounces of shampoo, the second bottle had 5.4 ounces, and the third bottle had 6.6 ounces. The hairdresser used 2/5 of the shampoo from the new bottle when she washed her hair. How many ounces of shampoo did she use? Describe two different ways to solve the problem.
Answer: 6.72 ounces
Step-by-step explanation:
4.8 + 5.4 + 6.6 = 16.8
16.8/5 = 3.36
3.36 = 1/5
3.36 x 2 = 6.72
6.72 ounces
Hopefully this helps you
pls mark brainlest
Members of a club are selling calendars as a fundraiser. The club pays $100 for a box of wall and desk calendars. They sell wall calendars for $12 and desk calendars for $8.Write an algebraic expression to model the club's profit from selling w wall calendars and d desk calendars.
Answer:
12w + 8d = 100
Step-by-step explanation:
Given:
Price of wall calendars = $12
Price of desk calendars = $8
Total amount pay = $100
Computation:
w = wall calendars
d = desk calendars
So,
Price of wall calendars(w) + Price of desk calendars(d) = Total amount
12w + 8d = 100
Please help ! I need the answers to these ASAP
Answer:
16. 33° and 57°
17. 10x+20= mEBC
18. 92°
middle school math!
really easy points :D
Answer:
check b, c, and d
Step-by-step explanation:
not all functions are linear so don't click A.
Answer:
I'm not sure if it's c but b and d are true
Step-by-step explanation:
Sorry this is late.... need the points
how do i solve a function even or odd
Answer:
You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.
Step-by-step explanation:
⭐
Which of the following options is the standard form of the linear equation 7x - 21 + 2y = 0?
7x + 2y - 21 = 0
21 + 2y + 7x = 0
2y + 7x - 21 = 0
7x - 21 + 2y = 0
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiStep-by-step explanation:
The Jenkins family and the Alexander family each used their sprinklers last summer. The water output rate for the Jenkins
family's sprinkler was 25 L per hour. The water output rate for the Alexander family's sprinkler was 40 L per hour. The
families used their sprinklers for a combined total of 45 hours, resulting in a total water output of 1425 L. How long was
each sprinkler used?
Answer:
Jenkins: 25 hours Alexanders: 20 hours
Step-by-step explanation:
To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.
We can make a represent hours because we know the rate of sprinkler's output is per hour.
25a+40b=1425
a+b=45
Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.
a+b=45
a=45-b
Now we can plug this in for a in the other equation.
25a+40b=1425
25(45-b)+40b=1425
Distribute 25 into the parenthesis.
1125-25b+40b=1425
1125+15b=1425
15b=300
b=20
Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.
a+b=45
a+20=45
a=25
The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.
What is the lcm of 2/5 and 5/18?
Answer:
10
Step-by-step explanation:
What is 411,600,000 in scientific notation
Answer:
4.116 time 10 to the eighth power
Step-by-step explanation:
Divide 411,600,000 by 100000000
Answer: 4.116 x 10⁸
Step-by-step explanation:
move the decimal point to the left to create a new number from 1 up to 10: a=4.11600000
Count the number of times you moved the decimal point: b=8
=4.11600000\times 10⁸
Remove trailing zeroes: =4.116 x 10⁸
which number is IRRATIONAL?
Answer:
96 is the irrational number :)
Step-by-step explanation:
Since 96 is not a perfect square, it is an irrational number.
Hope this helps!!!:)
