Answer: x² + 5x = 3
Step-by-step explanation:Step-by-step explanation:
The rectangle has been divided into a square and three rectangles.
The area of
a square = (x)(x) = x²
a rectangle #1 = (2)(x) = 2x
a rectangle #2 = (3)(x) = 3x
a rectangle #3 = (2)(3) = 6
The area of a large rectangle is the sum of the square area and three rectangles, and is 9 cm². Therefore we have the equation:
x² + 2x + 3x + 6 = 9 subtract 6 from both sides
x² + 5x + 6 - 6 = 9 - 6
x² + 5x = 3
The equation is proven.
What is an area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
The rectangle has been divided into a square and three rectangles.
The areas are;
square = (x)(x) = x²
rectangle 1 = (2)(x) = 2x
rectangle 2 = (3)(x) = 3x
rectangle 3 = (2)(3) = 6
The area of a large rectangle is the sum of the square area and three rectangles, and is 9 cm². Therefore, we have the equation:
x² + 2x + 3x + 6 = 9
x² + 5x + 6 - 6 = 9 - 6
x² + 5x = 3
Hence, proved.
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Please write a Complete answer.
Answer:1. 8.6 2. 9.4 3.8.5
Step-by-step explanation:
Answer: The first puppy would weigh: 8.6 ounces
The second puppy would weigh: 9.4 ounces
The third puppy would weigh: 8.5 ounces
Step-by-step explanation: The puppies weights were 6.5, 7.3, and 6.4 respectively. The question says each puppy gained 2.1 ounces
So just add 2.1 to each of the puppies weights:
6.5+2.1=8.6
7.3+2.1=9.4
6.4+2.1+8.5
Hope this helps :)
5(6x + 9) + (2x + 8)
_________________________________
Hey!!
Solution,
5(6x+9)+2x+8
= 30x+45+2x+8
= 30x+2x+45+8
=32x+53
Hope it helps
Good luck on your assignment
______________________________
Answer:
32x + 53
Step-by-step explanation:
To simplify this expression, perform the indicated multipliplication, using the Distributive Property, and then combine like terms:
30x + 45 + 2x + 8
becomes:
32x + 53
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 :)
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.
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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
A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this exponential model?
Question 3 options:
A)
f(t) = 67(.70)t
B)
f(t) = 70(67,000)t
C)
f(t) = t(.70)67,000
D)
f(t) = 67,000(.70)t
Answer:
f(t) = $67000(.30)^t (Must use " ^ " to indicate exponentiation)
Step-by-step explanation:
This is an exponential function:
f(t) = $67000(.30)^t (Must use " ^ " to indicate exponentiation)
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
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.
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.
Mrs. Jackson gives the table below to her students. In order for the function to be linear, what must a be and why?
Answer:
m= 20 because the rate of change is -3.
Answer:
The answer is D
a= 20 because the rate of change is -3
Step-by-step explanation:
edg 2022
Please help me answer these e questions pleasesssss
Answer:
4) 8^14
7) h^7
10) 29^8 over 10^8
Step-by-step explanation:
If the numbers have the same base, just add their exponents together. So 10 plus 4 is 14.
Same thing for the second problem, since you have the same base, just add the exponents together. 6 plus 1 is 7
The bases are the same so just add the exponents, 7 plus one is 8.
(-2.9)^8
Convert it into a fraction: -(29/10)^8
Raise the fraction to the power (8) and the numerator and denominator to that power: 29^8/10^8
Hope this helps :)
8¹⁴
Step-by-step explanation:
4.) 8¹⁰×8⁴
=8 to the power (10+4)
=8¹⁴
7.) h⁶xh¹
=h to the power (6+1)
=h^7
10.) (-2.9)^1×(-2.9)^7
=(-2.9)^7+1
=(-2.9)^8
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
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.
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
help again please thank you
Answer:
1) False
2) True
3) False
4) True
5) True
6) False
7) True
8) True
Answer:
The electron configuration of an element describes how electrons are distributed in its atomic orbitals. Electron configurations of atoms follow a standard notation in which all electron-containing atomic subshells (with the number of electrons they hold written in superscript) are placed in a sequence. For example, the electron configuration of sodium is 1s22s22p63s1.
Step-by-step explanation:
solve the system of equations given below pleasee i need to pass
Answer:
B.(-1,10)
Step-by-step explanation:
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.
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
How to Find the domain and range for graphs
Answer:
domain: possible x values
range: possible y values
Step-by-step explanation:
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.
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
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.
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
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
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:
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
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.
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
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!