Answer:
x = -7 2/3, y = 1 1/3 and z = 5 1/3.
Step-by-step explanation:
2x+4y+3z=6 ..... 1
x-2y+z=-5 ...... 2
-x-3y-2z=-7 .......3
Add equations 2 and 3 to eliminate x:
-5y - z = -12 .....4
Multiply equation 2 by - 2:
-2x + 4y - 2z = 10
Add this to equation 1:
8y + z = 16 ........ 5
Now add equation 4 to equation 5:
3y = 4
y = 4/3 = 1 1/3.
Now find z by substituting for y in equation 4:
-5(4/3) - z = -12
z = 12 - 20/3
z = 36/3 - 20/3 = 16/3 = 5 1/3.
Finally, we find x by substituting for y and z in equation 1:
2x + 4*4/3 + 3*16/3 = 6
2x = 6 - 16/3 - 16
2x = 18/3 - 16/3 - 48/3 = -46/3
x = 23/3 = 7 2/3.
The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is
18 inches in diameter.
Suppose a standard dartboard is hung at standard height so that the bull's-eye is 11 feet from a wall to its left.
Samuel throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor.
Does Samuel's dart land on the dartboard?
Answer:
Yes, Samuel's Dart does land on the dartboard.
Step-by-step explanation:
The diameter of the dartboard = 18 inches
∴ The radius of the circle = 9 inches = 0.75 feet
The coordinate of the bull's-eye = 11 feet from the left wall, 5 feet 8 inches from the ground
∴ The coordinate of the bull's-eye = (11, 5.67)
The position of the dart Samuel throws = 11.5 feet from the left wall, 5.5 feet from the ground
∴ The coordinates of the position of the dart Samuel throws = (11.5, 5.5)
The equation for the area of a circle is given as follows;
(x - h)² + (y - k)² = r²
Where;
(h, k) = The coordinates of the center
r = The radius
Given that the bull's-eye is the center of the circle formed by the dartboard of radius 9 inches, we have;
(h, k) = The coordinates of the center
For the dartboard, we have;
(h, k) = The coordinates of the center = The coordinate of the bull's-eye = (11, 5.67)
h = 11, k = 5.67
∴ The equation of the circle formed by the dartboard = (x - 11)² + (y - 5.67)² = 0.75² = (3/4)² = 9/16
The square of the distance of the dart Michael throws from the bull's eye = (11.5 - 11)² + (5.5 - 5.[tex]\overline 6[/tex]7)² = 5/18
Therefore, given that the square of the distance of the dart Michael throws from the bull's eye < The square of the radius of the circle formed by the dart board and that the center of the, where the length of both the position of Samuel's dart and the radius of the circle formed by the dartboard are measured from the same point, (the center of the circle) we have;
The position of Samuel's dart is on the dart board
Therefore;
Yes, Samuel's Dart does land on the dartboard.
you are listening to a playlist that has three hip hop songs 2 rock songs if they are a 15 more songs on this playlist and the ratio of hip hop song or rock song stayed the same how many of each type would be on this playlist
15. Show, using a numerical example, that the expressions (x+2) and x² + 4 are not equivalent.
Answer:
Check explanation below.
Step-by-step explanation:
For this, Ill assign X the value of 2.
(2+2)=(2^2+4)
[tex]4\neq 8[/tex]
1+1+1+1+1+1+2+2+2+3+4=4=====+2233=+
Answer:
78
Step-by-step explanation:
how to factorise 3x-9x^2
3x-9x²
Factor out 3x from the expression
Answer: 3x^ x(1-3x)
A map’s scale is 1 inch: 3.5 miles. If the actual distance between two places is 77 miles, then they will be ____ inches away from each other on the map.
==================================
Work Shown:
(1 inch)/(3.5 miles) = (x inches)/(77 miles)
1/3.5 = x/77
1*77 = 3.5*x ..... cross multiply
77 = 3.5x
3.5x = 77
x = 77/3.5
x = 22
22 inches on paper correspond to 77 miles in real life.
Which student rounded properly?
Answer:
c is the answer
Step-by-step explanation:
please answer this question thanks in advance
CAN U GUYZ PLz HELP MEH??? PLZPLZPLZPLZPLZPLZPLZPLZPLZ???????
HELPPP 30+ POINTS
.
.
.
.
Answer:
e:
ratio is smaller then number 1
so is between 0 and 1
please answer If I get this right I'm done for the week I will give brainiest if you're right!!!
Lots of points
Use cross products to demonstrate whether or not the two ratios are equivalent: 4/6 and 14/21
Answer:
The answer is true.
Step-by-step explanation:
[tex] \frac{4}{6} = \frac{14}{21} \\ 84 = 84[/tex]
Because the last equation, 84=84, is true, then the ratios are true.
Renee has 13 rings and 48 bracelets. She has a small box for each item. How many small boxes does Renee have
for her rings and bracelets?
Help plz
Answer:
[see below]
Step-by-step explanation:
Renee has one small box for each item. This means that she would have 13 boxes for the small rings and 48 boxes for the bracelets.
13 + 48 = 61
She should have 61 boxes in total.
Hope this helps.
HELp PLZLZPLZPLZPLPZLPZLZPLZPLZPZLPZLPZLZPLZPZLPZLZPLZPZLZPLPZLZPLZ
Answer:
pretty sure it's 8 if I'm not mistaken
A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight? Explain?
Answer:
.95-1.05
Step-by-step explanation:
you are able to go above 0.05 or below 1 by 0.05
since it's 95% of 1
Answer:
.05
Step-by-step explanation:
It's simple really. It's finding 5% of 1.
First you change the percent to a decimal. 5%= .05
Next you multiply .05 times 1 which is obviously 1. :)
Which answer choice is a solution to the inequality 1.5x+3.75≥5.5? –1 1 1.5 0
Answer:
x ≥ 1.17Step-by-step explanation:
[tex]1.5x+3.75≥5.5[/tex]
First of all subtract 3.75 from both sides of the equation
That's
[tex]1.5x + 3.75 - 3.75 \geq5.5 - 3.75 \\ 1.5x \geq1.75[/tex]
Divide both sides by 1.5
[tex] \frac{1.5x}{1.5} \geq \frac{1.75}{1.5} \\ [/tex]
We have the final answer as
x ≥ 1.17Hope this helps you
Answer:
1.5
Step-by-step explanation:
Select all polynomials that are divisible by (x-1)(x−1)left parenthesis, x, minus, 1, right parenthesis. Choose all answers that apply: Choose all answers that apply: (Choice A) A A(x)=3x^3+2x^2-xA(x)=3x 3 +2x 2 −xA, left parenthesis, x, right parenthesis, equals, 3, x, cubed, plus, 2, x, squared, minus, x (Choice B) B B(x)=5x^3-4x^2-xB(x)=5x 3 −4x 2 −xB, left parenthesis, x, right parenthesis, equals, 5, x, cubed, minus, 4, x, squared, minus, x (Choice C) C C(x)=2x^3-3x^2+2x-1C(x)=2x 3 −3x 2 +2x−1C, left parenthesis, x, right parenthesis, equals, 2, x, cubed, minus, 3, x, squared, plus, 2, x, minus, 1 (Choice D) D D(x)=x^3+2x^2+3x+2D(x)=x 3 +2x 2 +3x+2
Answer:
Step-by-step explanation:
For us to be able to determine the polynomials that are divisible by (x-1), this means that x-1 must be a factor for the functon to be able to divide any of the polynimial.
Since x-1 is a factor, we can get the value of x
x-1 = 0
x =0+1
x = 1
Next is for to substitute x - 1 into the polynomial and see the ones that will give us zero
For A(x)=3x^3+2x^2-x
A(1) = 3(1)^3+2(1)^2-(1)
A(1) = 3+2-(1)
A(1) = 5-1
A(1) = 4
Since A(1) ≠ 0, then x-1 is not divisible by the polynomial function.
For B(x)=5x^3-4x^2-x
B(1)=5(1)^3-4(1)^2-1
B(1)=5-4-1
B(1)=1-1 = 0
Since B(1) = 0, hence x-1 is divisible by 5x^3-4x^2-x
For the polynomial C(x)= 2x^3-3x^2+2x-1
C(1)=2(1)^3-3(1)^2+2(1)-1
C(1)=2-3+2-1
C(1)= -1+1
C(1)= 0
Since C(1) = 0, hence x-1 is divisible by the
For the polynomial D(x)=x^3+2x^2+3x+2
D(1)=1^3+2(1)^2+3(1)+2
D(1)=1+2+3+2
D(x) = 8
Hence the polynomial D(x) is not divisible by x-1
Hence the correct options are B(x)=5x^3-4x^2-x and 2x^3-3x^2+2x-1
Answer:
B(x) and C(x)
Step-by-step explanation:
Which of these lines would be the steepest?
1 point
y = 2x + 9
y = 7x + 3
y = 5x - 3
y = 7
Answer:
The equation is y=mx+b in this case the b represents the y int and does not aid in detemining steepness. To determine the steepest, the value of m (or the slope) rise/run must be either the most positive number or the most positive negative. in this case you have 2/1 , 7/1. 5/1.
So y==7x+3 has the steepest (greatest value) slope
Step-by-step explanation:
The equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest
The formula for finding the equation of a line is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
The line that will be the steepest must have the largest slope.
Looking at the equation y = 7x +3
Get the slope by comparing to have;
mx = 7x
m = 7
Since the equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest
Learn more here: https://brainly.com/question/12922257
Anything would really help! Due soon!
Answer:
y=mx+b
Step-by-step explanation:
what is the value of x?
Answer:
84°
Step-by-step explanation:
I know that the other angle (not x) is 48 because the lengths are the same of 2 sides. Therefore I can use 180-48-48 to get 84, the correct answer.
What are the x- and y-intercepts of the graph of 5x + y = 20?
x-intercept: 16
y-intercept: 0
x-intercept: 4
y-intercept: 20
x-intercept: 5
y-intercept: 1
x-intercept: 1
y-intercept: 5
x-intercept: 4
y-intercept: 20
Answer:
Step-by-step explanation:
x-intercept: 4
y-intercept: 20
how to solve trial and error method i) y + 6 = 11
Which function is a horizontal translation of the parent quadratic function, f(x) = x2
O A. ;(z) = x2 - 4
B. g(x) = (x - 4)
C. k(x) = -42
D. h(x) = 4,2
The function that represents the horizontal translation of the parent function is (b)g(x) = (x - 4)^2
How to determine the horizontal translation?The function is given as:
f(x) = x^2
An horizontal translation is represented using:
f'(x) = (x ± h)^2
Where h does not equal to 0
From the list of options. we have:
g(x) = (x - 4)^2
Hence, a function that represents the horizontal translation of the parent function is (b)g(x) = (x - 4)^2
Read more about translation at:
https://brainly.com/question/4289712
#SPJ9
A half of a number added to 7 gives 19. What is the number? *
Answer:
24
Step-by-step explanation:
---------------
24÷2=12
12+7=19
---------------
The value of x must be greater than
O 0
O 1
O 3
O 7
find the distance for AB for A (3,5) and B(6,1)
Help!!
Answer:
5 is the answer to the question
The length of a iPhone is 15 cm and the width of the iPhone is 7.4 cm. What is the maximum area?
Answer:
111 cm squared
Step-by-step explanation:
15x 7.4
Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. y = $0.17x + $15.89 How much did Hans pay for his trip?
Given :
Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile.
In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. y = $0.17x + $15.89 .....1)
To Find :
How much did Hans pay for his trip.
Solution :
x = 450 miles.
Putting value of x in equation 1 we get :
y = $(0.17×450 + 15.89)
y = $(76.5+15.89)
y = $92.39
Therefore, Hans will pay $92.39 for his trip.
Hence, this is the required solution.
this is a geo question i do not understand someone please help me
What is 2/3 as a decimal
Answer:
0.66 or 0.67 rounded
Step-by-step explanation:
2/3=
0.66
Answer:
0.6 or 0.666666666666666666666
Ms. Leigh
wants to organize the desks in the study
hall into a square. If she has 64 desks,
how many should be in each row?
Answer:
8 in each row
Step-by-step explanation: