Answer:
y=2, y=-2 y = 2i, y= -2i y = 1, y = -1 y = i, y = -i
Step-by-step explanation:
y^8+16=17y^4
Subtract 17 y^4 from each side
y^8 - 17 y^4+16=17y^4-17 y^4
y^8 - 17 y^4+16 =0
Let x = y^4
x^2 -17x + 16 =0
Factor
( x-16) ( x-1) =0
Using the zero product property
x-16 =0 x-1 =0
x=16 x=1
Replace x with y^4
y^4 = 16 y^4 = 1
y^4 -16 = 0 y^4 -1 =0
Replace y^2 with z
z^2 -16 =0 z^2 -1 = 0
( z-4) ( z+4) = 0 ( z-1) = 0 ( z+1) =0
z=4 z=-4 z=1 z=-1
Replace z with y^2
y^2 = 4 y^2 = -4 y^2 = 1 y^2 = -1
Taking the square root
y=2, y=-2 y = 2i, y= -2i y = 1, y = -1 y = i, y = -i
PLS I REALLY NEED HELP! what is the range of graph!
write 5.3 x 10^-9 in standard notation please!!
Answer:
0.53 x 10^ -8
Step-by-step explanation:
Just move the decimal over to the right and add 1 to the exponent.
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Mark this and return
Answer:Side C H
Step-by-step explanation:
Ans
C
Step-by-step explanation:
took the test made 100
Simplify (2^3)^–2.
A: -1/64
B: 1/64
C: 2
D: 64
Answer:
B: 1/64
Step-by-step explanation:
2^3 = 8
8^(-2)=1/(8^2)=1/64
how to round 13 ft 4 inches to the nearest foot?
Answer:
A foot is 12 inches and 4 is closer to 0 than 12 meaning 13 ft 4 in simplified is 13 ft
Step-by-step explanation:
Hello someone plz help for brainliest
Answer:
-√4. is ur ans babes ok
and h r u
Explain why the function is differentiable at the given point.
f(x, y) = 5 + x ln(xy − 9), (5, 2)
Step-by-step explanation:
Given the function
f(x, y) = 5 + x ln(xy − 9) at the point (5, 2)
For the function to be differentiable at the given point, the differential of the function with respect to x and y must be continuous at the point.
Fx is the differential of the function with respect to x.
Using product rule to get f(x):
fx = 0 + x(1/(xy-9)y) + ln(xy-9)
fx = xy(1/(xy-9)) + ln(xy-9)
Substitute point (5, 2) into fx
fx = 5(2)(1/5(2)-9) + ln(5(2)-9)
fx = 10(1/(10-9)) + ln(10-9)
fx = 10(1/1) + ln1
fx = 10 + 0
fx = 10
For fy:
fy = 0 + x²(1/(xy-9))+ 0
fy = x²(1/(xy-9))
Substitute point (5, 2) into fy
fy = 5²(1/(5(2)-9))
fy = 25(1/10-9)
fy = 25(1/1)
fy = 25
Next is to calculate f(5,2)
f(5,2) = 5 + 5 ln(2(5) − 9)
f(5,2) = 5 + 5 ln(10− 9)
f(5,2) = 5 + 5 ln1
f(5,2) = 5 + 5(0)
f(5,2) = 5
Since fx ≠ fy, hence the function is not differentiable at the given point
Is the height of these students a function of their wrist circumference
Answer:
c
Step-by-step explanation:
Answer:
C. No because the height of 151 cm is paired with two wrist circumferences.
Step-by-step explanation:
What are the next three terms in the sequence??
30, 31, 34, 39, ...
Step-by-step explanation:
5th one = 39 + 7 = 46
6th one = 46 + 9 = 55
7th one = 55 + 11 = 66
they're increasing in odd numbers 1,3,5,7,9,11 so I added em to the numbers^^
two water tanks release at the same time water tank a holds 6000 gallons of water and water is released from the fish tank at a rate of 2 gallons per minute water tank behold 8250 gallons of water and water is released at the rate of 3 gallons per minute after how many minutes will the Two Gallants hold the same amount of water
After t minutes, Tank A contains
6000 gal - (2 gal/min) t
while Tank B contains
8250 gal - (3 gal/min) t
The two tanks hold the same amount of water when these quantities are equal. Solve for t :
6000 gal - (2 gal/min) t = 8250 gal - (3 gal/min) t
(1 gal/min) t = 2250 gal
t = (2250 gal) / (1 gal/min) = 2250 min
What is the  length of A rectangle  with width 15 and an area of 90 in ^2 
pls answer this question
Answer:
firstly covert it like 7 1/4
= 4x7+1 = 29 so 29/4
Step-by-step explanation:
and then find difference by making denominators same
Caculate the unit rate. $2.40 for 5 apples. What
is the cost per apple?
Answer:
$0.48
Step-by-step explanation:
2.40/5 = 0.48
please help! !!!!!!!!!
Answer:
D. 3x - 7 = 8
I hope this helps!
Step-by-step explanation:
3x - 7 = 8
3x =8 +7
3x = 15
x =5
the rectangle below has a total perimeter of 125cm:
write an equation and solve it to find the length of the longer side of the rectangle
1 2.2.5 Quiz: Solving Problems by Dividing Fractions
Question 2 of 5
It takes Kirsten hour to weed the garden. How much of
the garden will be weeded after hour?
Choose the model that correctly illustrates the problem:
Solve the Absolute Value Equation.
|9x+1| = 46
Which are correct representations of the inequality -3(2x - 5) <5(2-x)? Select two options.
Ox<5
0 6x-5< 10-X
0-6x + 15 < 10-5x
+
-3
-2 -1 0
1
2
3
+
4
5 6 7
-7
-6
-5
-4
-3
-2
+
-1 0
+
3
1
2
Answer: -6x + 15 < 10-5x and the numberline with the 5---->
Step-by-step explanation:
Solving -3(2x-5) < 5(2-x)
Distribute the -3 to the 2x giving you -6x and -3 to the -5 giving you 15.
Distribute 5 to 2 giving you 10 and 5 to -x ginving you -5x.
Then just solve -6x+15 < 10-5x
+6x +6x
10+x > 15
-10 -10
x>5
The numberline with the postive 5 is the correct answer.
Answer: c d
Step-by-step explanation:
Simplify (2^3)^–2.
A: -1/64
B: 1/64
C: 2
D: 64
Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 along with an interest of $243. What was the annual interest rate? Round your answer to one decimal place
Answer: 1.8%
Step-by-step explanation:
The annual interest rate is 1.8% if Moira borrowed $4,500 from her grandfather to pay for her first year of college.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
It is given that:
Moira borrowed $4,500 from her grandfather to pay for her first year of college.
Three years later, she repaid the $4,500 along with an interest of $243.
Using the formula:
I = Prt
P = $4500
I = $243
t = 3
243 = 4500(r)(3)
243 = 13500r
r = 0.018
r = 1.8%
Thus, the annual interest rate is 1.8% if Moira borrowed $4,500 from her grandfather to pay for her first year of college.
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ2
△ PQR has vertices P(-2, 7), Q(3, 5), and R(-6, -1).Which of the following best represents a reflection of △ PQR across the x-axis to become △ P’Q’R’?
Answer: The △PQR is reflected across the y-axis and option 2 is correct.
Step-by-step explanation:1. The reflection across the x-axis is defined as
2. The reflection across the y-axis is defined as
3. The reflection across the y=x is defined as
4. The reflection across the y=-x is defined as
It is given that the vertices of △PQR are P(1,1) , Q(−1,−2) , and R(4,−2) . The vertices of △P′Q′R′ are P′(−1,1) , Q′(1,−2) , and R′(−4,−2) .
The relation between prerimage and image is defined as
Therefore the △PQR is reflected across the y-axis and option 2 is correct.
Jacy buys 12 bottles of orange juice at the corner store for a total cost of $8.04. If each bottle costs the same amount , how much is each bottle of juice?
Answer:
$0.67
Step-by-step explanation:
8.04=12x
8.04=12x
12. 12
.67=x
-100:2463-3+1
62 + (-3)3-23
Answer:
Try this but I am not 100% sure:
246173
Step-by-step explanation:
Based on the graph, What is the rate of the dashed line?
A: 50
B: 65
C:80
D: 95
Answer: D 95 siguro
Step-by-step explanation:makinig ka kasi ha.
Answer:
C. 80
Step-by-step explanation:
The first point is (3, 240) Divide them and you get 80.
what is the integration of ∫e²ⁿdx please answer as fast as possible.
Answer:
[tex]e^{2n}x + C[/tex] (since n is assumed to be a constant when integrating with respect to x)
Step-by-step explanation:
You are integrating with respect to x, but [tex]e^{2n}[/tex] has no x-terms. Thus, it is considered a constant. The integral of any constant is equal to the constant multiplied by x.
Example: the integral of 2 is 2x, since the derivative of 2x is 2.
[tex]\int {e^{2n}} \, dx = e^{2n}x + C[/tex]
If you were integrating [tex]e^{2x}[/tex] with respect to x, it would look like this:
Since...
[tex]\frac{d}{dx} (e^{ax}) = ae^{ax}[/tex]
The integral of [tex]e^{ax}[/tex] is:
[tex]\int{e^{ax}} \, dx = \frac{e^{ax}}{a} + C[/tex]
[tex]\int {e^{2x}} \, dx = \frac{e^{2x}}{2} + C[/tex]
Note: C is a constant. It can be any number.
Answer: [tex]e^{2n}x + C[/tex] (since n is assumed to be a constant)
Find the mode:2,4,6,8,4,2,2,4,6,6,4
Answer:
4
Step-by-step explanation:
Mode is the number used most often in a data set. Four shows up the most here. If there are two numbers that occur the same amount of times, they are both the mode etc.
All irrational numbers are real numbers.
True False
Answer:
true
Step-by-step explanation:
every number is a real number
Please help, I would appreciate it
Answer:
-5x + 8y = -21
3x - 4y = 15
8y = 5x - 21
y = 5/8x - 21/8
3x - 4y = 15
-4y = -3x + 15
y = 3/4x - 15/4
5/8x - 21/8 = 3/4x - 15/4
-1/8x = -9/8x
x = 9
3x - 4y = 15
3(9) - 4y = 15
27 - 4y = 15
-4y = -12
y = 3
(9, 3)
Answer:
(9, 3)
Step-by-step explanation:
My favorite way to solve equations like this is using a graphing calculator. For Desmos, one only needs to type the equations into the input column, click on one of them, and highlight the point of intersection to see the coordinates there.
__
The usual ways to solve these are by substitution or elimination. Another way they can be solved is using Cramer's rule, which provides a formula for the solution based on the coefficients.
ax +by = c
dx +ey = g
__
x = (bg -ec)/(bd -ea) . . . . . . note the crossing pattern of the values in the products
y = (cd -ga)/(bd -ea) . . . . . . the denominator is the same as above
__
Using these formulas, we get ...
x = (8(15) -(-4)(-21))/(8(3) -(-4)(-5)) = (120 -84)/(24 -20) = 36/4 = 9
y = (-21(3) -15(-5))/4 = (-63 +75)/4 = 12/4 = 3
The solution is (x, y) = (9, 3).
Doing the same by elimination involves the same amount of math and a lot more writing.
I need help ASAP :(((
Answer:
D
Step-by-step explanation:
1%
Help me fast please !!!!!!!!!!!!!!!!!!!!
Answer:
(2x100,000)(7x10,000)(9x100)(5x10)
Step-by-step explanation:
Answer:
(2 x 100,000) + (7 x 10,000) + (9 x 100) + (5 x 10)