Answer:
(12, 10, -12)
x = 12
y = 10
z = -12
Step-by-step explanation:
Let's start by picking a variable to eliminate from the three equations, since "z" is at the end, let's go with "z".
Next we'll eliminate z from two of the equations by adding them together so:
(x+y+z=10) + (-2x-2y-z=-32)
you'll get: -x-y=-22
Next we'll eliminate z from the remaining equation in the same way so:
(-2x-2y-z=-32) + (3x-2y+2z=-8)
you'll get: -x-6y=-72
We now have two new equations:
-x-y=-22
-x-6y=-72
From these let's eliminate another variable, let's go with "x" and since both "x" are negative we'll multiply one of the equations by the negative sign of the other equation so we'll end up with one positive x and one negative x, which looks like this:
-x-y=-22
x+6y=72
and when we add these two equations we get:
5y=50
Finally we can solve for y:
y=10
With the known value of y we can use y to plug into the other equations and solve for the x and z variables to get x=12, y=10, z=-12
When you use induction to investigate a pattern and its rules, your educated guess about what comes next is called a
Answer:
Step-by-step explanation:
You win the lottery and decide to impress your friends by exhibiting a million-dollar cube of gold. At the time, gold is selling for $1282 per troy ounce, and 1.0000 troy ounce equals 31.1035 g. How tall would your million-dollar cube be?
Answer:
The million dollar cube will be 10.79 cm tall
Step-by-step explanation:
Let the sides of the gold cube representing the tallness of the cube be s
volume of the gold cube V = s³
Then :
[tex]\mathbf{s = \sqrt[3]{V} }[/tex] --- (1)
Similarly; we know that , density ρ = mass m/Volume V
making volume the subject of the formula, then ;
V = m/ρ
Replacing that into (1) above , we have:
[tex]\mathbf{s = \sqrt[3]{\dfrac{m}{\rho}} }[/tex]
Given that:
At the time, gold is selling for $1282 per troy ounce
∴ In a million-dollar cube of gold, the number of troy ounce that can be bought with a million dollar = 1000000/1282 = 780.03 troy ounce
Since 1.0000 troy ounce equals 31.1035 g
∴ 780.03 troy ounce = 780.03 × 31.1035 g
= 24261.66 g
From the tables 12.1 of Gold , the density of Gold is obtained as 19.3 g/cm³
∴
[tex]\mathbf{s = \sqrt[3]{\dfrac{m}{\rho}} }[/tex]
[tex]\mathbf{s = \sqrt[3]{\dfrac{24261.66}{19.3}} }[/tex]
[tex]\mathbf{s = \sqrt[3]{1257.080829} }[/tex]
[tex]\mathbf{s = 10.79 \ cm }}[/tex]
The million dollar cube will be 10.79 cm tall
question is in the image
Answer:
10 minutes
Step-by-step explanation:
If the zeros of f(x) are x=-1 and x=2, then the zeros of f(x/2) are
A. -1, 2
B. -1/2, 5/2
C. -3/2, 3/2
D. -1/2, 1
E. -2/4
Answer:
E (-2, 4).
Step-by-step explanation:
(x/2 + 1)(x/2 - 2) = 0
x/2 = -1, x/2 = 2
x = -2, 4.
The roots will be 2 times the roots of f(x).
Answer:
[tex]\Large \boxed{\mathrm{E. \ -2, \ 4}}[/tex]
Step-by-step explanation:
The zeros of f(x/2) will double the zeros of f(x).
x = -1 × 2 = -2
x = 2 × 2 = 4
Solve the equation for y. y +4x=11;x= -1,0,3
Answer:
y = 15, 11, and -1 when x = -1, 0, and 3 (respectively). Together, we have the points (-1, 15), (0, 11), and (3, -1).
Step-by-step explanation:
Assuming you want to find the values of y for each evaluated x, we will simply plug in the values into the equation.
y + 4x = 11
y = 11 - 4x
For x = -1
y = 11 - 4(-1)
y = 15
For x = 0
y = 11 - 4(0)
y = 11
For x = 3
y = 11 - 4(3)
y = -1
Thus, we have the points, (-1, 15), (0, 11), and (3, -1).
Cheers.
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz Asap Answer my question Anika grows vegetables and sells them at the farm stand. She gives the a discount to local restaurants. The table shows the restaurant price,p of buying vegetables with regular price or r dollars. Write an equation that represents That.
Answer:
price of vegetables= regular price-discount
p=r-discount
Step-by-step explanation:
discount = regular price- price of vegetables
discount= r-p
OR
price of vegetables= regular price-discount
p=r-discount
percentage discount
[(original price- discounted price)/original price]*100= percent discount
Answer:
P = r - 8
Step-by-step explanation:
Got it correct.
Recycle, reuse, and reduce are referred to as the three R's. Which sequence shows the three R's in order from most to least desirable
Answer:
(1) Reuse; (2) Recycle ; (3) Reduce
Step-by-step explanation:
The ideal sequence would be:
1) Use it again (reuse) if the object still serves its intended purpose/s
2) If not possible to the used again, send it to a recycling plant to extract from it items/parts/substance of utility for other new products
3) if it cannot be reused or recycled, the last option will be to reduce it completely.
Translate the phrase into a variable expression.Use the letter p to name the variable the total number of plants divided among 8 yards.
I need some help
Answer:
p/8
Step-by-step explanation:
A point A (x, y) is translated 6 units to the right and 4 units down. What is the mapping to the new point A'? (x-4, y+6) (x+6, y-4) (x+6, y+4) (x+4, y-6)
Answer:
New point (x+6, y-4)
Step-by-step explanation:
Given:
Points = (x , y)
Mapping
6 units to the right
4 units down
Find:
New point
Computation:
On line X, numbers are add on move right side
So,
x+6
On line Y, numbers are subtract on move down
So,
y-4
New point (x+6, y-4)
what’s the answer to 4 + 6x + 5 = 7x
Answer: 9
Step-by-step explanation:
4+6x+5=7x
-6x -6x
=
4+5=1x
9=1x
X=9
What is the length of the radius of a circle with a center at 2+3i and a point on the circle at 7+2i
Answer:
[tex]\sqrt{26}[/tex]
A ball is dropped from the top of a
building. The expression 4.9x2 gives the distance in meters the ball
has fallen after x seconds. Write and simplify an expression that gives the
distance in meters the ball has fallen after x2 seconds. after x3 seconds.
Clear question is;
A ball is dropped from the top of a
building. The expression 4.9x² gives the distance in meters the ball
has fallen after x seconds. Write and simplify an expression that gives the
distance in meters the ball has fallen after x² seconds. after x³ seconds.
Answer:
A) Distance = 4.9x⁴
B) Distance = 4.9x^(6)
Step-by-step explanation:
We are given the expression 4.9x² which is the distance in meters the ball
has fallen after x seconds.
Thus,
A) after x² seconds, we have;
Distance = 4.9(x²)²
Distance = 4.9 * (x²) * (x²)
When we have to multiply 2 same numbers with the same power, the powers add up. Thus, we now have;
Distance = 4.9x⁴
B) after x³ seconds, we have;
Distance = 4.9(x³)²
Distance = 4.9 * (x³) * (x³)
When we have to multiply 2 same numbers with the same power, the powers add up. Thus, we now have;
Distance = 4.9x^(6)
solve the simultaneous equations
2p- 3q= 4
3p + 2q= 9
Answer:
q = 6/13, p = 35/13
Step-by-step explanation:
3p + 2q = 9
2p - 3q = 4
_________ (subtract the two equation from each other.)
p + 5q = 5
p = 5 - 5q
2(5 - 5q) - 3q = 4 (substitute value of p into equation)
10 - 10q - 3q = 4
10 - 13q = 4
-13q = -6
q = 6/13
3p + 2(6/13) = 9 (substitute value of q into equation)
3p + 12/13 = 9
3p = 105/13
p = 35/13
Find the volume of the composite figure formed by a hemisphere with the radius
r = 10 cm and a cube with the side length L=
20 cm.
Answer:
8209.44
Step-by-step explanation:
CUBE: 20x20x20=8000
HEMISPHERE=2/3[tex]\pi[/tex]r²=
2/3[tex]\pi[/tex](10)²=209.44
8000+209.44=8209.44
Question 10 (5 points)
(01.05)
What is the equation in point-slope form of the line passing through (-1, 3) and (1,7)? (5 points)
a. y-7 = 4(x - 1)
b. y-7 = 2(x - 1)
с. y-3 = 2(x - 1)
d. y-3 = 4(x + 1)
Answer:
Hey there!
Slope: 7-3/1-(-1), which is equal to 4/2, or 2.
Point slope: y-7=2(x-1)
So choice B is correct.
Let me know if this helps , or if you have any more questions :)
Is it rational? -8/5
Answer:
yes
Step-by-step explanation:
A rational number is a number that can be written as a ratio of integers
-8/5 is a ratio of integers so it is rational
Answer:
Yes.
Step-by-step explanation:
Rational numbers you can solve. They have a solution.
prove sin^6x+cos^6x+3 sin^2x cos^2x=1
Answer:
its a formulae
we know (sinx+cosx)^3= sin^3x +cos^3x+3sinxcosx(sinx+cosx)
(a+b)^3= a^3 +b^3+3ab(a+b)
Step-by-step explanation:
(sin^2x)^3 +cos^2x)^3+3sin^2x cos^2x(sin^2x+cos^2x)
according to formulae
(sin^2x+cos^2x)^3 {as we know sin^2x+cos^2x =1}
so the (1)^3= 1
{proved}
thank u
Answer: see proof below
Step-by-step explanation:
Use the formula for factoring a cubic: (a³ + b³) = (a + b)(a² - ab + b²)
and the formula for a perfect square: a² + 2ab + b² = (a + b)²
and the Pythagorean Identity: cos²x + sin²x = 1
Proof LHS → RHS
Given: sin⁶x + cos⁶x + 3sin²x cos²x
Regroup: (sin²x)³ + (cos²x)³ + 3sin²x cos²x
Factor Cubic: (sin²x + cos²x)(sin⁴x - sin²x cos²x + cos⁴x) + 3sin²x cos²x
Pythagorean Identity: 1(sin⁴x - sin²x cos²x + cos⁴x) + 3sin²x cos²x
Add like terms: sin⁴x + 2sin²x cos²x + cos⁴x
Regroup: (sin²x)² + 2sin²x cos²x + (cos²x)²
Factor Perfect Square: (sin²x + cos²x)²
Pythagorean Identity: (1)²
Simplify: 1
LHS = RHS: 1 = 1 [tex]\checkmark\\[/tex]
Complete the statement below. The expression illustrates the commutative property of multiplication.
Answer:
Option A
Step-by-step explanation:
The expression that completes the blank is A. 11 x w * x 3 = 11 x 3 x w.
What is the cumulative property of multiplication?The commutative property is a mathematical concept that states that the order in which we multiply the factors does not affect the product.
According to the commutative property, a mathematical principle, the product is unaffected by the order in which we multiply the integers.
According to the above, the example of a commutative property is:
11 x w x 3 = 11 x 3 x w
This expression is the one with the commutative property because it has the same factors on both sides of the equation in a different order and that does not affect the result.
Therefore, the correct answer is A.
This question is incomplete because you are missing the options, here are the options:
A. 11 x w x 3 = 11 x 3 x w
B. 11 x w x 3 = 11 x w x 3
C. (11 x w) x 3 = 11 x (w x 3)
D. 11 x (w x 3) = (11 x w) + (11 x 3)
To know more about cumulative property follow
https://brainly.com/question/2475734
#SPJ6
HOW DO I DO NUMBER 7 SOMEONE HELPP
Answer:
Hey there!
p(x)=7x+25
7x+25=60
7x=35
x=5
Let me know if this helps :)
Write the equation for a parabola that has x − intercepts (−2.2, 0) and (−0.6, 0) and y − intercept (0,3.3). URGENT
PLEASE ANSWER
Answer:
[tex]\bold{y=2.5x^2+7x+3.3}[/tex]
Step-by-step explanation:
Given:
Parabola with
x − intercepts (−2.2, 0) and (−0.6, 0)
and
y − intercept (0,3.3)
To find:
Equation of parabola ?
Solution:
We can use factored form to find the equation of the parabola.
[tex]y=a(x-\alpha)(x-\beta)[/tex]
Where [tex]\alpha, \beta[/tex] are the x intercepts.
Let use put
[tex]\alpha = -2.2\\\beta = -0.6[/tex]
[tex]y=a(x-(-2.2))(x-(-0.6))\\\Rightarrow y =a(x+2.2)(x+0.6)[/tex]
Now, let us put y − intercept (0,3.3) in the above equation to find the value of a.
[tex]\Rightarrow 3.3 =a(0+2.2)(0+0.6)\\\Rightarrow 33 =a(22)(0.6)\\\Rightarrow 3 = 2a\times 0.6\\\Rightarrow a = 2.5[/tex]
So, the equation becomes:
[tex]\Rightarrow y =2.5(x+2.2)(x+0.6)\\\Rightarrow \bold{y=2.5x^2+7x+3.3}[/tex]
PLSSS HELLPPPPP I WILL GIVVEEEE BRAINLIESTTT!!!!!!
Answer: Option A & D are true statements.
Work:
For option A, it states 1 pound = 2.75. Now when we divide 16.50 by 6 we get 2.75, so option A is true.
Option B states 2.75 pounds = 1$. We already know this isn't true seeing as 2.75 pounds would equal 7.56, so option B is false.
Option C reads as 5 pounds equal 15.50. When we multiply 5 by 2.75, we get 13.75, so option C is also untrue.
Option D quotes 12 pounds equals 33. When we multiply 12 by 2.75, it equals 33, so this is a true statement!
Option E says the point 3,9 is on the graph, but its not. So this is not true.
hello! I’m very confused on this question, I want to know if my format is good? I currently have x^2-14x=16 Am I on the right track?
Answer:
according to me
Step-by-step explanation:
yes u r correct
;]
87 2/3 written as a decimal
Answer:
2/3= 0.666666666667
Step-by-step explanation:
The plot below represents the function f(x):
Evaluate f(-1):
f(x) represents x-axis. So, for f(-1), look the point of -1. Then vertically, it reaches the point of -3 which is in the y-axis.
Answer is -3.
Solve the equation x+5=8
Answer:
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
8 - 5 = 3
(Checking v)
3 + 5 = 8
⛅️ + ⛅️+ ⛅️= 30
⛅️ + ❄️+ ❄️= 20
❄️ + + = 13
⛅️+ ❄️ x = ??
Answer:
I GOT YOU!
Step-by-step explanation:
⛅️= 10
❄️= 5
x = 8
So,
10+10+10=30
10+5+5=20
5+8= 13
10+5+8=23
I hope I helped...
An article that is marked $500 was sold for $450 after a discount is given. Calculate the percentage discount given
Answer:
10% discounted
Step-by-step explanation:
500× X = 450
while X is the sale price
so we solve for X
(500X)÷500 = 450 ÷ 500
X = 0.9
then we turn that into percentage
0.9 × 100 = 90%
finding the discount percentage
100% - 90% = 10%
The formula for the volume of a pyramid is A times h/3 where A is the area of the pyramid's base and h is its height. The base of the Great Pyramid of Giza is about 53,000 square meters, and its height is about 150 meters. What calculation will give us the estimated volume of the Great Pyramid of Giza in cubic meters?
Answer:
The calculation that will give us the estimated volume is the area of the base of the pyramid of Giza in square meters multiplied by the height of the pyramid of Giza in meters divided by 3 i.e A * h/3
Step-by-step explanation:
Here in this question, we are interested in giving the calculation that will give us the estimated volume of the Great pyramid of Giza in cubic meters.
Mathematically, from the first part of the question, the formula for this is obtainable.
We are told that the formula for calculating the volume of a pyramid is A times h/3 where A represents the area of the base of the pyramid and h represents the height of the pyramid.
In equation form;
V = A * h/3
From the question, we are told that the area of the base is 53,000 m^2 while the height is 150 m
Now, plugging these values into the equation above, we have
V = 53,000 * 150/3
V = 53,000 * 50 = 2,650,000 m^3
The estimated volume of the Great Pyramid of Giza in cubic meters is 2,650,000.
Given the following data:
Base of pyramid = 53,000 square meters.Height of pyramid = 150 meters.To calculate the estimated volume of the Great Pyramid of Giza in cubic meters:
Mathematically, the volume of a pyramid is given by the formula:
[tex]Volume = \frac{1}{3} \times base \;area \times height[/tex]
Substituting the given parameters into the formula, we have;
[tex]Volume = \frac{1}{3} \times 53000 \times 150\\\\Volume = 17,666.667 \times 150\\\\Volume = 2,650,000[/tex]
Volume of the Great Pyramid of Giza = 2,650,000 cubic meters
Read more: https://brainly.com/question/11168779
Which pair of angles is supplementary?
Answer:
180° angle is supplementry angle
Step-by-step explanation:
180°
Answer:
Option a) ∠RXZ & ∠YXZ
Step-by-step explanation:
If sum of two angles are 180°, then the two angles are called supplementary.
∠RXZ & ∠YXZ forms a straight line and sum of ∠RXZ & ∠YXZ
will be 180. So, they are supplementary
-8x+3=8x+27 I need help plz I’m trash at math
Answer:
-1.5
Step-by-step explanation:
See steps below:
-8x+3=8x+27-8x + 3 - 8x - 3 = 8x+ 27 - 8x - 3 ⇒ add -8x - 3 to both sides in order to collect like terms in the different sides of equation-16x = 24 ⇒ simplifiedx= 24/-16 ⇒ dividex= - 1.5 ⇒ answer