Step-by-step explanation:
x^3-8 = 0
or, x^3 = 8
or, x = 8×(1/3)
or, x = 2
All solutions to the equation are x = 2, -1 + i√3, and -1 - i√3 two roots are complex and one root is real.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have:
x³ - 8 = 0
Using identity:
a³ - b³ = (a - b)(a² + ab + b²)
(x - 2)(x² + 2x + 4) = 0
x = 2
x² + 2x + 4 = 0
Using quadratic formula:
[tex]\rm x = \dfrac{-2 \pm\sqrt{2^2-4(1)(4)}}{2(1)}[/tex]
x = -1 ± i√3
Thus, all solutions to the equation are x = 2, -1 + i√3, and -1 - i√3 two roots are complex and one root is real.
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The cost of cherries is $8 per pound. Given that context how should we change the graph?
Answer:
x represents a pound of cherries, and y represents the cost. you need to change 20 to 24. And add 0:0 1:8 2:16 and 3:24
Step-by-step explanation:
Can someone plz help me :)
3(x-4)= 36
Answer:
x = 16
Step-by-step explanation:
3(x-4)=36
First we will distribute:
3x - 12 = 36
Add 12 to both sides:
3x = 48
Divide both sides by the coefficient:
x = 16
Check your work:
3 (x - 4) = 36
3 (16 - 4) = 36
3 (12) = 36
36 = 36
Final answer:
x = 16
I’m so confused does anyone know the answer
Answer:
1.5(2x5)
Step-by-step explanation:
just swap the things in the parenthases
could u vote me brainliest plz? thx :)
In the year 2013 the population of Californiawas about 38,332,521 people. Write the
estimated population as a single digit times a
power of 10.
Given g(x) = -3x - 4, find g (5)
Answer:
The answer is -19.
Step-by-step explanation:
You have to substitute the x = 5 into the function :
[tex]g(x) = - 3x - 4[/tex]
[tex]g(5) = - 3(5) - 4[/tex]
[tex]g(5) = - 15 - 4[/tex]
[tex]g(5) = - 19[/tex]
What is the first step in solving the equation b=r + 27 for r? A Add 21 to both sides. B Subtract 271 from both sides. C Multiply both sides by 2n. D Divide both sides by 27.
Answer:
B. Subtract 2π from both sides.
Step-by-step explanation:
In order to solve for r, you are gonna want to isolate it. To do so, you first have to subtract 2π from both sides.
Someone help it’s due soon.
Rewrite the equation in Ax+By = C form.
Use integers for A, B, and C.
y+3 = 5(x+5)
y+3 = 5(x+5)
y+3 = 5x+25 ... distribute
y = 5x+25-3 ... subtract 3 from both sides
y = 5x+22
y-5x = 22 ... subtract 5x from both sides
-5x+y = 22 .... is one possible answer
5x-y = -22 ... is another possible answer
The difference is that I multiplied both sides by -1 so that the A term becomes positive.
-13=m-7 how can i get my answer
Answer:
m = -6
Step-by-step explanation:
-13=m-7
+7 +7
-6=m
Answer:
m=-6
Step-by-step explanation:
What you do is add 7 to both sides of the equation canceling the 7 out leaving you with -13+7 which is equal to -6 so, M=-6
The water level of a lake fell by 1 1/2 inches during a 1 2/3-week-long dry spell. Find the average rate at which the water level changed every week.
Answer: The average rate at which the water level changed every week = [tex]-\dfrac35[/tex] inches per week.
Step-by-step explanation:
Given: Change in water level in [tex]1 \dfrac23[/tex] week = [tex]-1\dfrac12[/tex] inches = [tex]-\dfrac32[/tex] icnhes
To find : The average rate at which the water level changed every week.
i.e. Change in water level per week.
As [tex]1\dfrac23 = \dfrac52[/tex]
Change in water level in 1 week = [tex]-\dfrac{3}{2}\div\dfrac52 = -\dfrac32\times \dfrac25= -\dfrac35[/tex]
Hence, the average rate at which the water level changed every week = [tex]-\dfrac35[/tex] inches per week.
We want to find the average rate of change at which the water level changed in a given time period.
We will find that the average rate of change is:
[tex]r = - 0.9 in/week[/tex]
We define the average rate of change as the quotient between the total change and the time it takes.
Here we have:
total change = -(1 + 1/2) in
Time = (1 + 2/3) weeks
Then the average rate of change is:
[tex]r = \frac{-(1 + 1/2) in}{(1 + 2/3) weeks} = - 0.9 in/week[/tex]
This means that the water level decreases, in average, 0.9 inches per week.
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Stacy drew a scale drawing of on park on a map. The scale is 1 inch : 10 yards. If the drawing of the park is 6 inches. How wide is the actual park?
PLZ HELPPPPPPPPP
Answer:
About 25 yards.
Step-by-step explanation:
Length of actual park is 60 yards
Given that;Scale factor = 1 inch : 10 yards
Length of drawing = 6 inches
Find:Length of actual park
Computation:Length of actual park = Scale factor × Length of drawing
Length of actual park = 10 × 6
Length of actual park = 60 yards
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-3+7x-9+8x=54 please help
lol help is appreciated, ill give brainliest.
Answer:
m<7 = 95 degrees
Step-by-step explanation:
Angle 1 = 3x + 10
Angle 4 = 4x-15
Because of the verticle angles theorum, Angle 1 and 4 are congruent.
So:
3x+10 = 4x-15
+15 +15
3x+25 = 4x
-3x -3x
25 = x
Angle 1 = 3x + 10
But now we know what x is so now its (3 times 25) + 10 which is 85
Angle 1 and 3 are a linear pair so they are supplementary (add up to 180)
180-85=95
So, Angle 3 is 95 degrees
Because of the corresponding Angles postulate, 7 and 3 are congruent
So m<7 = 95 degrees
Please help me i need help with this please give me the answer
Part A:
$8.00+(r⋅$1.40)
Part B:
($26.00-($8.00)÷$1.40)=5
He can go on 5 rides.
Describe the relationship between a torus and a circle. I’ll give brainliest if correct!
Answer:
a torus is a surface revolution generated by a circle in three dimentional space about an axis that is coplanar with the circle
Step-by-step explanation:
i searched it
Please help me out with the questions!
Answer:
7 mpg/year, 1
Step-by-step explanation:
Write b-^4 where the exponent is positive
Answer:
1/b^4
Step-by-step explanation:
When you take the reciprocal of a number or variable, the sign of the exponent changes from positive to negative or negative to positive.
You currently have b^-4/1 flip it and change the sign to get 1/b^4
Write the slope-intercept form of the equation of each line.
11x + 8y = -45
Answer:
y= -11x/8 - 45/8
Step-by-step explanation:
Write this equation in slope intercept form:
y= mx + b
11x + 8y = -45
8y= -11-45
y= -11x/8 - 45/8
Hope this helps :)
Please help I will mark brainliest
Solve the equation. x - 4 = -5x - 28 x =
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x/4-(28/1)=0
Step by step solution :
STEP
1
:
28
Simplify ——
1
Equation at the end of step
1
:
x
— - 28 = 0
4
STEP
2
:
x
Simplify —
4
Equation at the end of step
2
:
x
— - 28 = 0
4
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
28 28 • 4
28 = —— = ——————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (28 • 4) x - 112
———————————— = ———————
4 4
Equation at the end of step
3
:
x - 112
——————— = 0
4
STEP
4
:
When a fraction equals zero
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x-112
————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-112 = 0
Solving a Single Variable Equation:
4.2 Solve : x-112 = 0
Add 112 to both sides of the equation :
x = 112
One solution was found :
x = 112
Step-by-step explanation:
make me as brain liest
7/10x4/5 in its simplest form
Answer:
14/25
Step-by-step explanation:
7/10 x 4/5
28/50
14/25
PLEASE HELP!!!!!!!!! PLEASE GIVE AN EXPLANATION SO I CAN UNDERSTAND!!!!!
Solve x2 − 8x + 15 < 0. The solution set for the quadratic inequality is:
Answer:
3<x<5
Step-by-step explanation:
[tex]x^2 - 8x + 15 < 0\\\\\mathrm{Factor}\:x^2-8x+15:\quad \left(x-3\right)\left(x-5\right)\\\left(x-3\right)\left(x-5\right)<0\\\\\mathrm{Find\:the\:signs\:of\:the\:factors\:of\:}\left(x-3\right)\left(x-5\right)\\\\\mathrm{Identify\:the\:intervals\:that\:satisfy\:the\:required\:condition:}\:<\:0\\\\3<x<5[/tex]
7x^2– 19x – 6
How do I factorize this expression?
Answer:
x = 3 and x = -2/7
Step-by-step explanation:
you can multiple -6 by 7 = -42
and then find what adds into -19 but can multiply together to get -42.
In this case (x-21)(x+2) would work
then you have to divide out your 7 from both numbers,
(x-21/7)(x+2/7)
then you have to make them equal to zero
x-21/7 = 0 = x = 21/7 = 3
x+2/7 = 0 = x = -2/7
so your final answer is x = 3 and x = -2/7
Write the equation of the line that passes through the following two points (2, 7) and (0, 1)
Answer:
F(X)= 3x + 1
Step-by-step explanation:
A number z plus 7..
Answer:
7z
Step-by-step explanation:
Riley earned $5 for
1
2
of an hour babysitting. What is her hourly rate?
Answer:
10 dollars each hour
Step-by-step explanation:
Hello.
If Riley earned $5 for half (1/2) an houe of babysitting, then for a full hour, she would make $10.
Her hourly rate is $10.
-10 - 2x < 6 and 6x + 12 < -6
Answer:
Step-by-step explanation
What the question about solve or what?
The change in y over the change in x is the same as???
7. Solve the system of equations using substitution and elimination. No matrix
calculator
3x - 2y - Z = -12
8x - 3y + 4z = 6
-7x + 5y - 3z = 2
Answer:
65
Step-by-step explanation:
FCJCFHCYJHCJ=09
HYVFYTRYTRYTRYTRYTRHUVF08=887U#]]]]]]]]]]]]]]]]]
X=9
PLEASE ! Find the slope of the line graphed.
Answer:
slope = -1/2
Step-by-step explanation:
From the graph, pick two points:
[tex](x_{1} , y_{1} ) (x_{2} , y_{2} )[/tex]-> (0, -2) and (-4, 0)
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
so (-2 - 0)/(0-(-4)) = -2/4 -> -1/2
Using the graphing calculator to
evaluate these expressions:
-12-27=
3:04-(
2
3
3.2
:)
-22.33
10 -0.667
9.7
11,2
Answer:
12 * 27 =
✔ -324
8 +
5
3
* 0.4 − (
2
3
− 3.2 ) =
✔ 11.2
Step-by-step explanation:
Evaluating expressions involve solving and simplifying the expression
The result of [tex]\mathbf{-12 - 27}[/tex] is -39The result of [tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2)}[/tex] is 9.4The expressions are given as:
[tex]\mathbf{(a)\ -12 - 27}[/tex]
[tex]\mathbf{(b)\ 8 + 53 * 0.4 - ( 23-3.2)}[/tex]
[tex]\mathbf{(a)\ -12 - 27}[/tex]
Subtract 27 from -12
[tex]\mathbf{-12 - 27 = -39}[/tex]
Hence, the result of [tex]\mathbf{-12 - 27}[/tex] is -39
[tex]\mathbf{(b)\ 8 + 53 * 0.4 - ( 23-3.2)}[/tex]
Start by evaluating the expression in brackets
[tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 8 + 53 * 0.4 - 19.8}[/tex]
Evaluate the products
[tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 8 + 21.2 - 19.8}[/tex]
Add and subtract
[tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 9.4}[/tex]
Hence, the result of [tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2)}[/tex] is 9.4
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