How many solutions does this system have? 2x−3y+z=5 2x−3y+z=−2 −4x+6y−2z=10 Explain your answer in terms of intersecting planes.
Answer:
5 because once you evaluate your functions and simplify your equations you get all 5 solutions.
Step-by-step explanation:
Please help with Algebra
Answer:
C) 6
Step-by-step explanation:
I converted the equation into slope-intercept form and then identified the y-intercept.
[tex]4x+2y=12\\\\4x-4x+2y=12-4x\\\\2y=12-4x\\\\\frac{2y=12-4x}{2}\\\\ y=6-2x\\\\y=-2x+6\\\\y=-2x+\boxed{6}[/tex]
C should be the correct answer.
Hope this helps.
Answer: 6
Step-by-step explanation: The y-intercept is a point where a line
crosses the y-axis and all y-intercepts have an x-coordinate of zero.
So to find the y-intercept of this line, we can plug a 0 in for x.
So we have 4(0) + 2y = 12.
So 2y = 12 which means that y = 6.
So the y-intercept of this line is 6.
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Train Station is located at (13,15) and the Bus Station is located at (5,1). The Tourist Information Center is located at point
x=___
y=___
Answer:
X = 9 and Y = 8
Step-by-step explanation:
We are to find the midpoint of the coordinates (13,15) and (5,1).
Using the midpoint formula;
M(X, Y) = [(x1+x2)/2, (y1+y2)/2]
X = (x1+x2)/2
Y = (y1+y2)/2
From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1
X = 13+5/2
X = 18/2
X = 9
Similarly;
Y = 15+1/2
Y = 16/2
Y = 8
Hence The Tourist Information Center is located at point X = 9 and Y = 8
Find the equation of the line. Use exact numbers.
Answer:
[see below]
Step-by-step explanation:
Using two points on the line:
(0,3) (2,0)
Find the slope of the line:
[tex]m=\frac{rise}{run}=\frac{0-3}{2-0}=\frac{-3}{2}=-\frac{3}{2}[/tex]
The slope of the line is [tex]-\frac{3}{2}[/tex].
The y-intercept is (0,3).
The line equation should be: [tex]y=-\frac{3}{2}x+3[/tex].
Hope this helps.
Answer:
[tex]y=-\frac{3}{2}x+3[/tex]
Step-by-step explanation:
We can find an equation for the line by using the slope of the line and the y-intercept.
We can see that the y-intercept of of the line is 3.
To find the slope of the line, we can use the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are points on the line. To find the slope of the line, I will use the x-intercept, which is (2, 0), for (x₂, y₂) and y-intercept, which is (0, 3), for (x₁, y₁).
[tex]m=\frac{0-3}{2-0}=\frac{-3}{2}=-\frac{3}{2}[/tex]
So now we know the y-intercept and the slope, so lets plug it into the slope-intercept form equation. This gives us:
[tex]y=-\frac{3}{2}x+3[/tex]
So the equation of the line would be [tex]y=-\frac{3}{2}x+3[/tex].
I hope you find my answer helpful.
Simplify (2/3)^1 Show your work!
Having 1 as an exponent does nothing to the original number.
2/3^1 = 2/3
Best of Luck!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Anything to the power of 1 is itself.
---------------------------------------------------
If a number is to the power of 2, it multiplies itself and there are two 8 terms.
[tex]8^2=8*8[/tex]
Thus, if a number is to the power of 1, it is just by itself.
[tex]8^1=8[/tex]
2. If the bill was $138, how far were you towed? Explain.
Answer:
It depends on how long the measurement is for each amount of money for example every 5 miles pay $12 so it would be which would be 11$.5 and the equation would be $12/5mi and if he had to pay $138 then it shows that he went 11.5 mi
Step-by-step explanation:
Ori needed at least $1.47 in postage to mail an envelope to his cousin overseas. If x represents the number of $0.44 cent stamps he has and y represents the number of $0.10 cent stamps he has, the inequality representing the number of stamps he can use to mail the envelope is 0.44x+0.10y≥1.47. If Ori uses all 3 of the $0.44 cent stamps he has, what is the minimum number of $0.10 stamps he needs to use?
The minimum number of $0.10 stamps he needs to use is 1 stamp.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
let x represents the number of $0.44 cent stamps
and, y represents the number of $0.10 cent stamps
Ori uses all 3 of the $0.44 cent
=0.44x3
= 1.32
Then, 1.47-1.32= 0.15
We have at least 2 dimes for the equation
=0.44(3)+0.10(2)≥1.47
= 1.32+0.20≥1.47
= 1.52≥1.47
Then, number of $0.10 stamps he needs to use
= 0.15/ 0.10
= 1.5
= 2 or 1 stamps
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Answer:
2.
Step-by-step explanation:
Alexis bakes 90 identical pizzas. Each pizza is cut either into 8 small slices or 6 large slices. There are 5 small slices for for every 3 large slices. How many of the 90 pizzas are cut into small slices?
Answer:
50
Step-by-step explanation:
Let x represent the number of pizzas cut into small slices. Then the ratio of small to large slices is ...
[tex]\dfrac{8x}{6(90-x)}=\dfrac{5}{3}\\\\8x=10(90-x)\quad\text{multiply by $6(90-x)$}\\\\18x=900\quad\text{add $10x$}\\\\x=50\quad\text{divide by 18}[/tex]
50 of the 90 pizzas were cut into small slices.
_____
Check
The 50 pizzas cut into 8 small slices each results in 400 small slices. The 40 pizzas cut into 6 large slices each results in 240 large slices. The ratio of small slices to large slices is 400 : 240 = 5 : 3.
It takes 1 minute to bake 7 cookies. How many
cookies could you bake in 2 minutes? Assume the
relationship is directly proportional.
cookies
Answer
Answer:
Step-by-step explanation:
so the problem is 7 cookies in 1 minutes which is 7 x1 but if we want to know how many we have in 2 minutes we would have to multiply by 2 not 1. so we do 7x2 which is 14. 14 cookies in 2 minutes
When might you need to measure an object’s radius?
Answer:
Finding the circumference?
How to put 634 in scientific form
Answer:
6.34 × 10²
Step-by-step explanation:
Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 634
New Number: 6.34
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 6 . 3 4
Decimal Count: 1 2
There are 2 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 6.34
b = 2
Now the whole thing:
6.34 x 10²
Step 4
Check your work:
10² = 100 x 6.34 = 634
Answer:
6.34 x 10^2
Step-by-step explanation:
Move the decimal place to the left 2 positions
m<1 = 4x + 15, and m<2 = 6x-5, what is m<1
Answer:
rvg g rtb rg gt ggw
Step-by-step explanation:
g wgrgr wrgf r
Calculate the area of a circle with radius 1.6m
Answer:
A≈8.04m² is the answer
I've been staring at this for 15mins plz help
Answer:
answer is C because it is
Which of the following identifies when food is most susceptible to bacteria and microorganism growth?
fall
winter
spring
summer
summer the food is most susceptible to bacteria and microorganism growth because of heat
What is Microbiology?Microbiology is the scientific study of microorganisms, those being unicellular, multicellular, or acellular.
Susceptibility is a term used when microbe such as bacteria and fungi are unable to grow in the presence of one or more antimicrobial drugs.
Susceptibility testing is performed on bacteria or fungi causing an individual's infection after they have been recovered in a culture of the specimen.
In summer the food is most susceptible to bacteria and microorganism growth because of heat where as in the winter and fall the bacteria wont grow easily.
Hence, summer the food is most susceptible to bacteria and microorganism growth because of heat
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Explain how you get the answer to 7|8-3h|=21h-49
Awnser-H=5/2
Explantion- Absolute value equalitiy entered
7|-3h+8| = 21h-49 Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 7|-3h+8|
For the Negative case we'll use -7(-3h+8)
For the Positive case we'll use 7(-3h+8)
-7(-3h+8) = 21h-49
Multiply
21h-56 = 21h-49
Rearrange and Add up
0h = 7
False, No solution for the Negative Case 7(-3h+8) = 21h-49
Multiply
-21h+56 = 21h-49
Rearrange and Add up
-42h = -105
Divide both sides by 42
-h = -(5/2)
Multiply both sides by (-1)
h = (5/2)
Which is the solution for the Positive Case When an absolute value equation has just one solution, that solution has to be checked:
The equality is 7|-3h+8| = 21h-49
The solution is h = 5/2
We check the solution by plugging it for h
7|-3(5/2)+8| = 21(5/2)-49
The left hand side is equal to (7/2)
The right hand side is equal to (7/2)
The two sides are equal!
Solution checks!
h=5/2
Help please! sssssssssssssss
Answer:
UT=17 because both UT and RU are the same length, same with QU and US
Step-by-step explanation:
Find the value of x will mark BRAINLYList
Answer:
25 degrees
Step-by-step explanation:
56+99=155
180-155=25
25 degrees
If a leaf fell 140 meters in 4 minutes how many meters did it travel per minute?
Answer:
The leaf travels 35 meters per minute
Step-by-step explanation:
Given:
Distance = 140 meters
Time = 4 minutes
Speed = distance / time
Speed in meter per minute
Distance in meter
Time in minutes
Speed = distance / time
= 140 meters / 4 minutes
= 35 meters per minutes
Therefore,
The leaf travels 35 meters per minute
Plz help, I will give you brainlest! Thx!
Answer:
(0,-10)
Step-by-step explanation:
Answer:
your answer Is 3
Step-by-step explanation:
You do y2-y1 and x2-x1
that gives you -2-22/-4-4 which leaves you with
-24/-8
and that’s 3
Which of the following is a characteristic of Euclidean geometry?
A. No lines are straight.
B. The sum of the measures of the angles in a triangle is greater than 180 degrees.
C. The parallel postulate is true.
D. The sum of the measures of the angles in a triangle is less than 180 degrees.
Answer:
b
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
PLZ HELP this doesnt make sense
Answer:
No.
If two rectangles are congruent, it means they are the exact same shape and size.
I have uploaded an image with this answer. In the image, you can see two rectangles with the same perimeter. However, they are not congruent because they are not of the same size (even though they are of the same shape - a rectangle).
Hence, two rectangles may not be congruent if they have the same perimeter.
Johnny's rare book collection contains 40 books he donates 15% of his books to the National Library sells 1/4 of his books to a rare dealer and sell for books on Amazon how many books were made in Johnny's book collection
Answer:
20 books
Step-by-step explanation:
Fractions and all that.
jsjsjsjjsjs i need help with hw once again. first person to answer gets brainliest ;)
Answer:
7 degrees Fahrenheit
Step-by-step explanation:
-3 + 11 = 7
It's the same as
11-3= 7
What is the slope of a line that contains the points (5, -3) and (7, 3)? *
Slope formula: y2-y1/x-x1
We can use the given points to solve.
3-(-3)/7-5
6/2
3
Best of Luck!
What is the standard position angle
Answer:
A would be 35
Step-by-step explanation:
if that area is at a 90 digre angle then do 90- 55 then you get your anwser.
Solve the system of linear equations by substitution. 11x – 7y = -14 x – 2y = -4
Answer:
x = 0 & y = 2. Hope this helped <3
The value of x and y from the equation is 1/6 and 5/6 respectively
x = 1/6
y = 5/6
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be A
11x - 7y = -4 be equation (1)
Let the second equation be B
-14x - 2y = -4 be equation (2)
On simplifying , we get
Multiply equation (2) by 7 , we get
-98x - 14y = -28 be equation (3)
Multiply equation (1) by 2 , we get
22x - 14y = -8 be equation (4)
Subtract equation (4) from equation (3) , we get
-120x = -20
Divide by 120 on both sides , we get
x = 1/6
Now , substituting the value of x in equation (1) , we get
11x - 7y = -4
11 ( 1/6 ) - 7y = -4
Adding 7y on both sides , we get
7y - 4 = 11/6
Adding 4 on both sides , we get
7y = 11/6 + 4
7y = 35/6
Multiply by 7 on both sides , we get
y = 5/6
Hence , the value of x is 1/6 and value of y is 5/6
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Under a dilation, a square with side lengths 14 meters is transformed to a square with side lengths 2 meters. What is the scale factor of the dilation?
Answer:
1/7
Step-by-step explanation:
I got it right
BRAINLIEST WILL BE MARKED
Another name for the domain is:
output
input
dependent variable
relationship
Answer:
B. input
Step-by-step explanation:
Given the function f(x) = 3 (x - 9) + 6 which of the following represents f-1 (x)?
Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{3}[/tex] x + 7
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 3(x - 9) + 6 ← distribute and simplify right side
y = 3x - 27 + 6 = 3x - 21 ( add 21 to both sides )
y + 21 = 3x ( divide all terms by 3 )
[tex]\frac{1}{3}[/tex] y + 7 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{3}[/tex] x + 7
