Answer:
[tex]y=-\frac{6}{5} x[/tex]
Step-by-step explanation:
[tex]y=-6/5x+0[/tex]
[tex]y=-6/5x[/tex]
Write down the example of converting the two numbers to the same exponent:
We conclude that the _____ atom is the greater.
Answer:
2'nd atom
Step-by-step explanation:
There are two atoms one weighs
6.022*10^-29 grams
another weighs
1.66*10^-17 grams
Which atom has a greater mass?
Work:
-29-(-17)=-12
-29 is 12 decimal places smaller than ^-17
0.000000000006.022*10^-17=1.66*10^-17
0.000000000006.022=1.66
0.000000000006.022<1.66
atom 1 < atom 2
We can conclude that the second atom is the greater.
For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range. The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2. The vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2. The vertex is (−1, 2), the domain is all real numbers, and the range is y ≥ 2. The vertex is (−1, 2), the domain is all real numbers, and the range is y ≤ 2.
Answer:
The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2
Step-by-step explanation:
The functions given to us is:
f(x) = 3(x - 1)² + 2
Domain:
As there is no limitation of x, all value of x are possible. So
Domain = All real numbers
Range:
For all values of x, the minimum value of y is 2 calculated at x = 1. The rest of the values are greater than 2. So,
Range = y ≥ 2
Vertex:
Simplifying the function:
f(x) = 3(x² + 1² - 2(x)(1)) + 2
f(x) = 3(x² - 2x + 1) +2
f(x) = 3x² - 6x + 3 + 2
f(x) = 3x² - 6x + 5 (ax² + bx + c)
where a = 3, b = -6, c = 5
x-coordinate of Vertex is given as:
Vertex(x) = -b/2a = 6/2(3)
Vertex(x) = 1
Substitute x=1 in the function, we get
Vertex(y) = 2
So Vertex is at (1,2)
Answer: A. The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
Step-by-step explanation:
I just took the test and A. is the correct answer!
Good Luck!!
-Aspyn
HELP!! WILL GIVE BRAINLIEST! EASY!!
Answer:
Option 2
Step-by-step explanation:
Mid point theorem:
The line segment joining the mid point of two sides of a triangle, is parallel to the third sides and this line segment is half the length of the third side
Please Help!!! Answer will get brainliest!!
Consider the expression.
What is the value of the expression if m = –5 and n = 3?
-24/25
-4/25
4/25
24/25
Answer:
4/25
Step-by-step explanation:
First move everything so they have positive exponents
4n²/9m²
4(3)² / 9(-5)² = 36/225, now simplify 4/25
17. The amount of time, t, in seconds, it takes an object
to fall a distance
Answer:
C) 3.9 sec
Step-by-step explanation:
You have given the time formula; t = square root of d divided by square root of 4.9.
Well d = 75m
square root of 75 = 8.66
square root of 4.9 = 2.2
8.66 / 2.2 = 3.9363...
t = 3.9 sec
Hope this was hopeful! (give 5 stars if you understood) :) Good luck
Maria, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a new clerk, needs 15 hours to do
the same job. Working together, how long will it take them to fill the order?
Answer:
≈ 7 hours
Step-by-step explanation:
Maria can do full job in 13 hours,
she can do 1/13 part of job in one hour
Felipe can do full job in 15 hours,
he can do 1/15 part of job in 1 hour
Together they can do:
1/13 + 1/15= 28/13*15= 28/195 of job in 1 hourto complete full job they need:
1 ÷ 28/195= 195/28 ≈ 7 hoursAnswer:
7 hr 10 min 12 seconds
Step-by-step explanation:
Maria, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a new clerk, needs 16 hours to do the same job. Working together, how long will it take them to fill the order?
------------------------
Maria rate = 1/13 job/hr
-----
Felipe rate = 1/16 job/hr
----
Together rate = 1/x job/hr
-------
Equation:
rate + rate = Together rate
1/13 + 1/16 = 1/x
----
16x + 13x = 13*16
------
29x = 13*16
I have no idea how to do this.. help?
Answer:
add
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:
Remember y=mx+b and the intercept is 5. Then we do rise over run. Which is 2/3. So it think:y=2/3+5. Please correct me if i am wrong. Hope this helps.
Which property of polynomial addition says that the sum of two polynomials
is always a polynomial?
O A. Commutative
O B. Multiplication property of equality
C. Distributive
D. Closure
SUBMI
Answer:
The property of polynomial addition that says that the sum of two polynomial is always a polynomial is called closure property of addition or under addition.
Polynomials are closed under addition because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polynomial of the same kind, except for the terms that cancel (positive with negative) which does not change the fact that the result is still a polynomial.
In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.
The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number of pens, and let y represent the number of pencils. Part A Select the equation that describes the number of club pens and pencils that the glee club can buy. A. 0.15x + 0.75y = 90 B. 0.75x + 0.15y = 90 C. 0.90(x + y) = 90 Part B What is the greatest number of each type of writing tool that the club can buy? the greatest number of pens =? the greatest number of pencils =?
Answer:
Part A - 0.90(x + y) = 90 Part B - Pencils
The sum of three consecutive even integers is -264. List the numbers from smallest to largest:
Answer:
-87, -88, -89
Step-by-step explanation:
first divide -264 by 3 this will give you the middle number. To find the first number subtract 1 from the middle number and to find the third number add 1 to the middle number.
solve the system of equations given below pleasee i need to pass
Answer:
B.(-1,10)
Step-by-step explanation:
Hope this helps
Think about the challenges facing the peace
process. Which of these problems threatened
Wilson's point?
Germany continued to attack American
shipping on the oceans.
The Allies were already making secret
alliances and plans.
The other heads of state refused to meet with
Wilson.
Answer:The allies were already...
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
1. Mr. Paul pays the parking bill before tax at a cost of $33.20. The parking tax rate is 2%. Mr. Paul decides to leave a 5% tip for the parking guard based on the pre-tax amount. How much will the total bill be?
2. Mr. Smith paid $36.36 for a carpet. This amount includes a tax of 10%. What was the cost of the carpet before tax?
Answer:
for the first question the total bill is $35.524
for the 2nd question the answer is $36.36 = 110%.
$36.36 ÷ 1.1 = $33.054
(the five and the four are recurring)
(I divided by 1.1 because 1.1 is the same as 110%)
hope this helped :)
The average weight of 7 potted plants is 23 pounds. An 8th potted plant is added to the pallet,
and the average weight increases to 25 pounds. What was the weight, in pounds, of the 8th
plant?
Answer:
The weight of the 8th plant is 39lb
Step-by-step explanation:
Given:
Average Weight of 7 plants = 23lb
Average Weight of 8 plants = 25lb
Required:
Weight of the 8th plant
To solve this, the total weight of the initial 7 plants need to be calculated;
[tex]Average = \frac{Sum-of-weights}{Number-of-Plants}[/tex]
Substitute 23 for Average and 7 for Number of plants
[tex]23 = \frac{Sum-of-weights}{7}[/tex]
Multiply both sides by 7
[tex]7 * 23 = \frac{Sum-of-weights}{7} * 7[/tex]
[tex]161 = Sum-of-weights[/tex]
Hence, the 7 plants weigh 161
Represent the weight of the 8th plant with E
When the 8th plant is added;
The sum of the weight becomes 161 + E
And the number of plants becomes 8
The average is calculated as thus
[tex]Average = \frac{Sum-of-weights}{Number-of-Plants}[/tex]
[tex]25 = \frac{161 + E}{8}[/tex]
Multiply both sides by 8
[tex]8 * 25 = \frac{161 + E}{8} * 8[/tex]
[tex]200 = 161 + E[/tex]
Subtract 161 from both sides
[tex]200 -161 = 161 - 161 + E[/tex]
[tex]39 = E[/tex]
Reorder
[tex]E = 39[/tex]
Hence, the weight of the 8th plant is 39lb
What is the slope of the line passing through the points (1, 2) and (5, 4)?
−2
1/2
2
1
Answer:
The answer would be 1/2
Which of the following is not a postulate of Euclidean geometry?
A. Through a given point not on a given line, there is exactly one line
parallel to the given line.
B. A straight line segment can be drawn between any two points.
C. All equilateral triangles have interior angles equal to 60 degrees.
D. A circle can be drawn with any center and radius.
It’s C, All equilateral triangles have interior angles equal to 60 degrees
The incorrect postulate is C, All equilateral triangles have interior angles equal to 60 degrees.
What is Euclidean geometry?It is an axiom system about points and Lines.
Five postulates of euclidean geometry are followed as;
1. To draw a straight line from any point to any other point. It means we can draw a straight line between any two pints.
2.To extend the continuous line in a straight line.
3. A circle can be drawn with any radius and center.
4. All right angles are equal to one another.
5. Parallel line postulate: If a straight line is falling on two straight lines make the interior angles on the same side less than the sum of two right angles, and the two straight lines.
The incorrect postulate is C, All equilateral triangles have interior angles equal to 60 degrees.
Learn more about euclidean geometry ;
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The volume of a stack of identical circular drink coasters, each 1 centimeter thick, can be found using the function V(r)=8pi r^2 where r is the radius of a coaster. What does the constant 8 in the function represent?
Answer:
The constant 8 represents the height of the stack and hence the number of coasters. (It represents the number of coasters.)
Step-by-step explanation:
The formula for finding the volume of a cylinder is
V = πr²h
If you we take π =3.14 and h = 1 cm, as given in the question, then we can rewrite the formula for the volume of one coaster as
V = 3.14 * r²
But the formula in this question is
V(r) = 8*3.14 * r² so this means that there are 8 coasters here hence the formula for one coaster being multiplied by 8.
Which of the given line segments is congruent to AB?
Answer:
VW
Solution:
VW is congruent to AB, because they have the same length.
The line segment VW is congruent to AB.
What are congruent line segments?A pair of line segments are said to be congruent when the lengths of both the line segments are equal.
How do we solve the given question?To solve the given question, we compare each line segment with AB to find its congruent pair.
PQ: PQ > AB, so its not congruent to AB.RS: RS < AB, so its not congruent to AB.TU: TU < AB, so its not congruent to AB.VW: VW = AB, so its congruent to AB.∴ We can say that VW is the line segment congruent to AB.
Learn more about congruent line segments at
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Find the value of x.
Answer:
x=1
Step-by-step explanation:
7 times 1 is 7 minus 1 is 6
2 times 1 is 2 minus 1 is 1
6 plus 1 is 7
you have to substitute the one
Simplify (4p^3)(-4p^4)
Answer:
-16p⁷
Step-by-step explanation:
(4p³) (-4p⁴)
4 times -4 is -16. p³ times p⁴ is p⁷.
-16p⁷
Answer:
4p^3=12p
-4p^4=-16p
12p-16p=-4p
hope this helps
The figure shown below is a rectangle. Give the angle value (numerical, not the letters)
Answer:
61
Step-by-step explanation:
can someone answer this
Answer:
21
Step-by-step explanation:
If the number is a multiple of 3 but not of 6, the number must be odd. The only odd multiple of 3 between 17 and 25 is 21, meaning that this is the answer. Hope this helps!
Answer:
21 is the answer.
Step-by-step explanation:
The numbers between 17 and 35 are 18, 19, 20, 21, 22, 23, and 24.
Multiples of 3 are = 18, 21, 24,
Not multiples of 6 = 21
I eliminated the numbers until I got the answer.
Hope this helped!
In the spinner below, what is the probability of landing
on 6?
A. 1/4
B. 1/8
C. 1/3
D. 1/6
Answer:
1/4
Step-by-step explanation:
There are 4 equal sized sections, and 2 sections that are twice the size of the others ( 2*2=4), for a total of 8 sections
The section with a 6 in it is a double size section so it counts as 2 sections
P(6) =number of sections with a 6/ total sections
=2/8
=1/4
Answer:
1/4
Step-by-step explanation:
A
Which expression can be used to check the answer to 56+(-14)=n?
Answer: n = 42
Step-by-step explanation:
56 - 14 = 42
If + and - are right next to each other, the + cancels out.
Answer:
i agree with Thetides5 the answer is n=42
Step-by-step explanation:
plz give me a brainliest i been working so hard to get a brainliest but no one has give me me one so plz can u give me one??? And hope this helps :D
Help ! Help ! Help ! Fast pls
Answer:
I think you'll have to graph that
Step-by-step explanation:
I need help please ASAP!!!!
Answer:
A pair of intersecting straight lines which agrees with option A of the answers in the list
Step-by-step explanation:
Recall, how a cone is built, as the surface produced by a line (called the "generatrix") as it moves at a fixed angle pivoting around a fixed point that will become the "vertex" of the cone.
As a plane cuts the cone perpendicular to its base and passing through the vertex, it will just intersect the generatrix trajectory in exactly two locations.
Please help me again lol I really need to get to a passing grade
The given Equation y=-1/3x+7 represents the table on the left side because when x = 0 y = 7. The equation for the table on the left is y=1/3x+5 because when x = 0 y = 5 and when y goes up 1 x goes up 3. The solution is (3, 6) because the only point in both tables is (3, 6)
Answer:
y = (1/3)x + 5
Step-by-step explanation:
y = (-1/3)x + 7 matches the second table (the table on the right side). Note that if x = 0, y = 7, and that this point, (0, 7) is found in the second table. The other table shows that when x = 0, y = 5; this point, (0, 5), is the y-intercept of the function whose values are in the first table. To finish this work, we need onlyl find the slope of the function represented by the first table:
y = mx + b becomes 6 = m(3) + 5, or 1 = 3m, or m = 1/3.
The the function represented by the first table is y = (1/3)x + 5.
A company has 3 staff positions to fill. If there are 14 candidates, how many outcomes
are possible?
Answer:
364
Step-by-step explanation:
14!/(3!(14-3)
Answer:
364
Step-by-step explanation:
You need to choose 1 out 14 for the first position, then 1 out of the 13 left for the second position, then 1 out the 12 left for the third position.
That gives 14 * 13 * 12 = 2184.
If order mattered, that would be the answer, but in this case, since order does not matter, the 3 positions can be filled in 3 * 2 * 1 ways = 6 ways.
2184/6 = 364
Identify the solution to the system of linear equations
Y=-x-2
Y=x-6
Answer:
(-4, 2)
Step-by-step explanation:
By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.
f(x)=3x−4g(x)=−x2+2x−5h(x)=2x2+1j(x)=6x2−8xk(x)=3x2−x+7 Calculate (fh)(x).
Answer:
( f h ) (x) = 6 x² - 1
Step-by-step explanation:
Step(i):-
Given f(x) = 3 x - 4
g (x) = −x²+2 x−5
h (x) = 2 x² + 1
j (x) = 6 x + 2 - 8 x
K (x) = 3 x² - x + 7
Step(ii):-
( f h ) (x) = f ( h (x)) = f ( 2 x² + 1 )
= 3 (2 x² + 1 ) - 4
= 3 ((2 x² ) + 3 - 4
= 6 x² - 1
Final answer:-
∴ ( f h ) (x) = 6 x² - 1