Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]x\left(x^2+8\right)=8\left(x+1\right)[/tex]
Expand:
[tex]x\times x^2+8x=8x+8\times 1[/tex]
[tex]x^3+8x=8x+8[/tex]
Subtract 8x from both sides:
[tex]x^3+8x-8x=8x+8-8x[/tex]
[tex]x^3=8[/tex]
Cube root both sides:
[tex]\sqrt[3]{x^3} =\sqrt[3]{8}[/tex]
[tex]x=2[/tex]
Give all answers in standard form.
(3 x 10”) x (2 x 10)
Answer:
[tex]6 \times {10}^{2} [/tex]
Step-by-step explanation:
[tex](3 \times 10) \times (2 \times 10) \\ 30 \times 20 \\ = 600 \\ = 6 \times {10}^{2} [/tex]
In the adjoining figure, GP bisects angle BGH and HP bisects angle GHD. calculate the size of angle a.
Answer:
90°
Step-by-step explanation:
AB and CD are parallel lines and EF is reversal
Therefore angles BGH and DHG are consecutive interior angles
As we know the sum of consecutive interior angles equals to 180°:
∠BGH + ∠DHG = 180°Line GP bisects angle BGH , therefore
m∠PGH = 1/2*m∠BGHLine HP bisects angle GHD, therefore
m∠PHG = 1/2*m∠GHDSum of two angles of triangle GHP:
m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°Therefore the missing angle a is:
∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°la edad de josé y beatriz están en la relacion de 5 a4 . si dentro de 3 años la suma de ambas edades seran 60 años , ¿ cual es la edad de beatriz ?
Answer:
La edad actual de Beatriz es de:
30 años
Step-by-step explanation:
Planteamiento:
5e = 4b
(e+3) + (b+3) = 60
e = edad actual de José
b = edad actual de Beatriz
Desarrollo:
de la segunda ecuación del planteamiento:
e + b + 6 = 60
e + b = 60 - 6
e + b = 54
e = 54 - b
sustituyendo este último valor en la primer ecuación del planteamiento:
5(54-b) = 4b
5*54 + 5*-b = 4b
270 - 5b = 4b
270 = 4b + 5b
270 = 9b
b = 270/9
b = 30
e = 54 - b
e = 54 - 30
e = 24
Comprobación:
5e = 4b
5*24 = 4*30 = 120
What is the sum of the measures of the interior angles of an octagon? Enter your answer in the box.
The sum of interior angles of an octagon will be 1080°.
We have a Octagon.
We have to find the sum of the measures of the interior angles of a pentagon.
What is Octagon ?In geometry, a Octagon is a eight - sided polygon.
According to the question, we have - A Octagon.
The formula for finding sum of the measures of the interior angles of a polygon is = ( n - 2) x 180°. The number of triangles in each polygon is two less than the number of sides.
The formula for calculating the sum of interior angles is:
For a Octagon - n = 8.
Therefore - the sum of interior angles of an octagon will be -
(8 - 2) x 180
180 x 6
1080°
Hence, the sum of interior angles of an octagon will be 1080°.
To solve more questions on Polygons, visit the link below -
brainly.com/question/11095766
#SPJ2
20 lbs of bananas cost $100. How many lbs of bananas can you get with $85 ?
Answer:
$17
Step-by-step explanation:
Step 1:
20 : 100 = x : 85
Step 2:
100x = 1700
Answer:
x = 17
Hope This Helps :)
Answer:
$100= 20lbs
$1= (20/100)lbs
$85= 85*(20/100)lbs
= 85(1/5)lbs
= 17 lbs
y is inversely proportional to the cube of x. It is given that for a certain value of x, the value of y is 7. Find the new value of y when x is doubled.
Inversely proportional means as one variable increases the other variable decreases.
In this problem, x is doubled which means it's increased, therefore, y is decreased.
7 / 2 = 3.5
The new value of y is 3.5
- 32x - 40
Whats the first step that I should do
Answer:
Isolate the x. Secondly, divide by -32 by both sides.
Step-by-step explanation:
−2π
Is this rational or irrational
It is irrational.
π is an irrational number.
It follows that -2π is also irrational number.
Help needed ASAP will give BRAINLIEST
What is the parent function for y = |x - 41+7?
In the equation 4x - 8 = -12, the second step would be to...
Answer:
4x = -4
Step-by-step explanation:
4x = -12+8
4x = -4
x = -1
Step-by-step explanation:
4x - 8 = -12
4x = 8 - 12
4x = -4
x = (-4)/4
x = -1
Can someone explain what the answer is to this and how? Thank u!!!
A garden table and a bench cost $755 combined. The garden table costs $95 less than the bench. What is the cost of the bench?
Answer:
The bench costs $425
Step-by-step explanation:
First lets define our variables:
t = garden table
b = bench
Next, we have to use the information to create two formulas. One formula is for the cost of a garden table and a bench. The second is for the cost of the garden table.
t + b = 755
t = b - 95
For the next step, we can solve for be by using the second formula we created and replacing (t) in the first formula:
b - 95 + b = 755
2b - 95 = 755
2b = 850
bench = 425
To find out how much the cost of the cost of the table is, you can plug in the cost of the bench (b) back into the second equation:
t = b - 95
t = 425 - 95
table = 330
I hope this helps!
-TheBusinessMan
Write using exponents. Work from left to right on the grid. 6 • 6 • 6
6 * 6 *6 = 6^3.
Answer:
216
Step-by-step explanation:
Given the question :
6 × 6 × 6
This depicts the product of a certain number in three places
6 × 6 × 6 = 6³
6 * 6 = 36
36 * 6 = 216
Hence, 6³ = 216
The perimeter of a rectangle is 50 inches.if the width of the rectangle is 5 inches smaller then twice the length,find the AREA of the rectangle in square inches
True or false: Most proofs in geometry are called direct proofs because theorems and postulates are used to prove a statement using a direct approach
Answer:
The statement is true
Step-by-step explanation:
Most proofs are direct proofs becaue theorums & postulates prove them true straightforwardly :)
I need help it’s geometry it’s due today at 11:59 pm Texas time
Answer:
to be parallel
slope should be equal
for first question
y=1/3X +2
comparing with y=m1x+c
slope = 1/3
similarly for second equation
y=1/3x -4
comparing with y=m2x + c
m2= 1/3
since m1=m2
lines are parallel
Evaluate each expression.
6! =
3! - 2! =
6!/3!=
Answer:
I hope it will help you :)
Answer:
6! = 720
3! - 2! = 12
6!/3!= 120
Step-by-step explanation:
just finished the assignment.
If Ray BX bisects ABC and mABX = 5x- 3&mCBX = 2x + 15, find mABC.
Answer:
8
kjjk
Step-by-step explanation:
jjj
hello I have a question to ask.
A man's age today is three years less than four times the age of his oldest daughter. Let a represent the daughter's age. Write an expression to represent the man's age.
I need help with B.
Answer:
6x= 42
x= 7
Step-by-step explanation:
a) Area= length ×width
2100= 50 ×width
width= 2100 ÷50
width= 42 ft
Thus, the field is 42ft wide.
b) width of field
= x +3x +2x
= 6x
Since we know that the field is 42ft wide from (a),
Equation: 6x= 42
x= 42 ÷6
x= 7
w (x) = 2x-4; Find w(0)
Answer:
w(0) = -4
Step-by-step explanation:
Put 0 where x is and do the arithmetic.
w(0) = 2·0 -4
w(0) = -4 . . . . . . . simplified
Solve for f.
Round your answer to 2 decimals.
9f = {(12f – 2)
Answer:
f=0.67
Step-by-step explanation:
Let's solve your equation step-by-step by isolating f.
9f=12f−2
Step 1: Subtract 12f from both sides.
9f−12f=12f−2−12f
You get:
−3f=−2
Step 2: Divide both sides by -3.
−3f/−3 = −2/−3
You get:
f= 2/3, or f= 0.67
Hope this helps! :)
simplify the following expressions ( use distributed property ) !
Answer:
2x + 2
Step-by-step explanation:
Simply distribute 2 to each of the terms (you multiply)
2(x + 1)
2x + 2
[tex]\huge\boxed{Hi!}[/tex]
The Distributive Property states that
a(b+c)=ab+ac
Let's use this to solve our math problem:
2(x+1)=2x+2
This is our final answer.
[tex]\huge\boxed{Hope\:this\:helps!}[/tex]
[tex]\huge\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
[tex]x { }^{2} < x + 2[/tex]
interval notation
Pls help Im very stuck on this and don’t understand
Answer:
C. 85 degrees
Step-by-step explanation:
Step 1: Set up equation
x + 57 + 96 + x = 131
Step 2: Solve for x
2x + 153 = 131
2x = -22
x = -11
Step 3: Find m∠RQU
m∠RQU = 96 + x
m∠RQU = 96 - 11
m∠RQU = 85°
solve for y. 3[y-13]=12
Answer:
y = 17
Step-by-step explanation:
3(y-13)=13
3y-39=12
3y=51
y=17
Answer:
y = 17
Step-by-step explanation:
3[y-13] = 12
3*y + 3*-13 = 12
3y - 39 = 12
3y = 12 + 39
3y = 51
y = 51/3
y = 17
Check:
3[17-13] = 12
3*4 = 12
a.no
b.yes
the question is in the picture
B. yes, it's a function
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds after it was hit can be modeled by the function h(t)=40t-16t^2.
Move the number to the blanks to describe the path of the ball.
When the ball is hit at 0 seconds, it has a height of _____ feet. The ball's height increases until it reaches its maximum height of _____ feet after ____ seconds. The ball's height then decreases until it reaches the ground _____ seconds after it was hit.
Fill in the blanks with these numbers: 0, 0.4, 1.25, 2, 2.5, 4, 16, 25, 40
Answer:
The correct numbers are;
1) 0
2) 25
3) 1.25
4) 2.5
When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit
Step-by-step explanation:
The given equation for the height of the ball, h(t), in feet, is given as follows
h(t) = 40·t - 16·t²
Therefore;
1) When the ball is hit at 0 seconds, it has a height of h(0) = 40×0 - 16×0² = 0 feet
2) The time to reach maximum height by the ball is found by taking the derivative (slope) of the function for the height of the ball and noting that at maximum height, the derivative (slope) = 0
Therefore;
h'(t) = 40 - 2 × 16·t = 0
40 - 32·t = 0
t = 40/32 = 5/4 seconds = 1.25 seconds
3) The maximum height is then found from the value of the function at t = 5/4 seconds as follows;
h(5/4) = 40×5/4 - 16×(5/4)² = 50 - 25 = 25 feet
4) The time in which the ball reaches the ground where h(t) = 0 is given from the formula for the height of the gulf ball as follows;
h(t) = 0 = 40·t - 16·t²
40·t - 16·t² = 0
(40 - 16·t)·t = 0
Therefore;
t = 0 seconds or t = 40/16 = 2.5 seconds
(40 - 16·t) = 0/t = 0
t = 40/16 = 2.5 seconds
Therefore, the filling the blanks with the correct numbers gives;
When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit
Micheala has 5-cent and 10-cent stamps with a total value of $5.75. If she has 5 more 10-cent stamps than 5-cent stamps, how many of each stamp does she have?
Answer:
Michaela has 5-cent and 10-cent stamps with a total value of $5.75. x=35; There is 35 5-cent stamps. 35+5= 40; There is 40 10-cent stamps.