Answer:
Use Substitution.
Plug in 2x-3 in place of y in the second equation.
4x - 3(2x-3) = 31
4x - 6x + 9 =31
-9 -9
-----------------------
-2x=22 so x=-11
Then, y=2(-11)-3, so y=-25
So the solution would be (-11,-25).
Step-by-step explanation:
is the variable alone?
No
what is it attached to?
you always do adding or subtracting first so it is attached to 3
How is it attached?
by subtraction
what is the inverse operation?
it is addition
then all you do is the same thing but with multiplication or division
Hi!
We can solve this using the substitution method.
Given:
[tex]y=2x-3\\4x-3y=31[/tex]
Using the first question, we know that [tex]y[/tex] is equal to [tex]2x-3[/tex], so we can simply plug that value in to the second equation, like so:
[tex]4x-3(2x-3)=31[/tex]
Now, we can algebraically solve this for [tex]y[/tex]
[tex]4x-3(2x-3)=31[/tex]
Distribute.
[tex]4x-6x+9=31[/tex]
Add like terms.
[tex]-2x+9=31[/tex]
Subtract [tex]9[/tex] from both sides.
[tex]-2x=22[/tex]
Divide both sides by [tex]-2[/tex]
[tex]x=-11[/tex]
Now plug in that value to the first equation:
[tex]y=2(-11)-3[/tex]
Multiply.
[tex]y=-22-3[/tex]
Subtract.
[tex]y=-25[/tex]
The solution is (-11, -25)
2a x a x 3a + b x 4b
Simplify
The product of two numbers is 26 and one of the numbers is one larger than six times the other number. find the numbers.
The numbers that the product is 26 and one of the numbers is one larger than six times the other number are 2 and 13.
How to form equation and solve for the variable?The product of two numbers is 26.
let the two numbers be x and y.
Therefore,
xy = 26
One of the numbers is one larger than six times the other number. Therefore,
x = 1 + 6y
Hence,
xy = 26
(1 + 6y)y = 26
y + 6y² = 26
6y² + y - 26 = 0
using quadratic formula,
[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex]
where
a = 6
b = 1
c = - 26
Therefore,
y = 2 or - 13 / 6
We can only use the positive value.
Hence,
2x = 26
x = 26 / 2
x = 13
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i need help 9th grade math
Answer:
$ 6875.05
Step-by-step explanation:
Check out the attached photo
PLEASE HELP I NEED IT REALLY BAD
Btw, my mistake, correction for the volume of prism, it's supposed to be:
Area of cross section × height
Hope this helps =)
How do I do this fraction with Distributive Property???
Answer:
[tex]3a - 1[/tex]
Explanation:
[tex] \frac{9a - 3}{3} [/tex]
Factor out 3
[tex] \frac{3(3a - 1)}{3} [/tex]
Cancel out the common factor 3
[tex]3a - 1[/tex]
Please help!!!!!!!!!!!!!
Answer:
G
Step-by-step explanation:
when x = -1 the two equations equal the same thing -2
so they both go thru the point (-1,-2)
if A and B are two distinct points on the plane then distance between them is
A)zero
B)1
C)negative
D)positive
By definition, the distance between two points is always positive, so the correct option is D.
How to get the distance between two points?
Let's say that our plane has rectangular coordinates, so it would be something like a xy-plane.
Each point has 2 coordinates, so we can write:
A = (x₁, y₁)
B = (x₂, y₂)
The distance between the points is given by:
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
As you can see, the distance is defined as positive (indifferent of the coordinates of the points).
So the correct option is D, the distance is always positive.
If you want to learn more about distance, you can read:
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How do we find the difference between principal and interest?
Answer:
Principal is the money that you originally agreed to pay back. Interest is the cost of borrowing the principal.
Step-by-step explanation:
First, calculate the interest portion of the payment by multiplying the mortgage balance by the annual interest rate. Then divide the result by 12, for the number of months in the year:
352, 345,338,...
352,345,338,...
\text{Find the 43rd term.}
Find the 43rd term.
Answer:
317
Step-by-step explanation:
The numbers change by -7 each step in the sequence. Let n be the position in the sequence, starting with n=0 for the first point. The value of a number at the nth position is (352 - 7*n).
The 43th position has the value 317.
n # Dif 352 -7n
0 352 352
1 345 -7 345
2 338 -7 338
3 331 -7 331
4 324 -7 324
43 317 -7 51Which irrational number can be multiplied by –StartRoot 41 EndRoot to get a product that equals 1?
a) StartRoot StartFraction 1 Over 41 EndFraction EndRoot Negative
b) StartRoot 41 EndRoot Negative StartRoot
c) StartFraction 1 Over 41 EndFraction EndRoot
d) StartRoot 41 EndRoot
Answer:
D. 41
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
First, convert - 1/41 to a decimal - 1/41 as a decimal which is just 1 divided by 41 which = 0.024390243902439 now multiply that by -41 and you get your answer.
Select the correct answer.
Mary and Nikki are collecting signatures for a petition. Function m models the total number of signatures on Mary’s petition x days after they started collecting signatures. Function n models the total number of signatures on Nikki’s petition at the same time.
m(x) = 252 + 21x
n(x) = 211 + 16x
Which function correctly represents the number of signatures Mary and Nikki have gathered altogether, x days after they started collecting signatures?
A. (m + n)(x) = 41 + 37x
B. (m + n)(x) = 463 + 5x
C. (m + n)(x) = 463 + 37x
D. (m + n)(x) = 41 + 5x
Answer:
C. (m + n)(x) = 463 + 37x
Step-by-step explanation:
If you borrow $1425 for 9 years at an interest rate of 4%, how much interest will you pay?
Answer:
You would pay $242 in total interest over the life of this loan.
Step-by-step explanation:
A school collects money for the local shelter. If the students collect $275 in the first month, $210 in the second month, and $136 in the third month, how much do they collect altogether?
Answer:
$621
Step-by-step explanation:
To find the total amount they collected, sum the amounts collected in each month.
[tex]\begin{tabular}{c l} & 275\\+ & 210\\+ & 136\\\cline{1-2} & 621\\\cline{1-2} & ^1^1\\\end{tabular}[/tex]
What is the quotient of (x3 – 3x2 3x – 2) ÷ (x2 – x 1)?
Answer:
-18x^2+3x-2/x
Step-by-step explanation:
He notices a lumberjack cutting one down what is the probability that the lumberjack is cutting down a mature tree given it is a pine?
Answer:
The second one is correct.
Step-by-step explanation: if you add together all the numbers you get 563 so now if you divide 166 by 563 you get 0.2948
Can anybody help me with any of these questions?
Answer:
I can't help sorry which grade ??
685 x8483 - 3846 +483
Answer:
Step-by-step explanation:
i have no idea
At a factory, Joe assembles 12 parts each minute. He
has assembled 156 parts when Sheila starts on the line,
assembling at a pace of 15 parts per minute. If their
assembly rates continue, will Sheila ever catch up to Joe?
Explain and show all work.
Answer:
yes, after 52 minutes
Step-by-step explanation:
If t represents the time in minutes each person is working after Sheila arrives, then the number of parts produced is ...
Eric: 156 +12t
Sheila: 15t
These values are equal when ...
156t +12t = 15t . . . . . Eric's part count is equal to Sheila's part count
156 = 3t . . . . subtract 12t
52 = t . . . . divide by 3
Sheila will catch up to Joe after 52 minutes.
Triangle ABC has a perimeter of 40 inches. What is AC?
Answer:
AC is a Side of Traingle .....................
The measure of the side length of AC will be 13 inches
What is the perimeter of a triangle?Let the triangle be ABC. Then the perimeter of the triangle will be
Perimeter = AB + BC + CA
Triangle ABC has a perimeter of 40 inches.
The side's lengths are given as AB = 12 inches and BC = 15 inches.
Then the measure of the side length of AC will be
40 = 12 + 15 + AC
40 = 27 + AC
AC = 13 inches
The missing diagram is given below.
More about the perimeter of a triangle link is given below.
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Which equation is true?
A) 3 x (5 + 1) = 3+ (5 x 1)
B) 5 x (2+8)= 10 +8
C) 8 x (2+9)= (8 x 2) + (8 x 9)
D) 4+ (2 +9)= (4 + 2) + (4 +9)
Answer:
C. 8 x (2 + 9) = (8 x 2) + (8 x 9)
Step-by-step explanation:
Let's solve to see!
Solve using PEMDAS:
Parenthesis
Exponents
Mulitplication/Division (depending on which one comes first - starting from left to right)
Addition/Subtraction (depending on which one comes first - starting from left to right)
A)
3 x (5 + 1) = 3 + (5 x 1) <== parenthesis first
3(6) = 3 + 5 <== multiply and add
18 = 8
False
B)
5 x (2 + 8) = 10 + 8 <== parenthesis first
5(10) = 10 + 8 <== multiply and add
50 = 18
False
C)
8 x (2 + 9) = (8 x 2) + (8 x 9) <== parenthesis first
8(11) = 16 + 72 <== multiply and add
88 = 88
True
D)
4 + (2 + 9) = (4 + 2) + (4 + 9) <== parenthesis first
4 + 11 = 6 + 13 <== add
15 = 19
False
Therefore, the correct answer is C.
Hope this helps!
Rewrite The following linear equations in slope intercept form y+2=4(x-3)
Answer:
the answer is y=4x-14
Step-by-step explanation:
I know that writing slope intercept form is extremely easy as you follow the y=mx+b formula. All that was really required was to simplify the equation and isolate the X and Y on separate sides of the equal. I hope this helps
Kevin works 2 hours more than Emily each time they work together. Using this information, complete the table
Answer:
we cannot see the table, did u attach any photo before asking the question?
What is the completely factored form of 3x5 – 7x4 6x2 – 14x? (x superscript 4 baseline 2 x) (3 x minus 7) x superscript 4 baseline (3 x minus 7) (2 x minus 1) x (x cubed 2) (3 x minus 7) x (3 x superscript 4 baseline minus 7 x cubed 6 x minus 14)
A polynomial is an expression. The completely factored form of the polynomial 3x⁵-7x⁴+6x²-14x is (x⁴+2x)(3x-7).
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The completely factored form of the polynomial can be done in the following manner,
[tex]3x^5-7x^4+6x^2-14x\\\\= x^4(3x-7)+2x(3x-7)\\\\=(x^4+2x)(3x-7)[/tex]
Hence, the completely factored form of the polynomial 3x⁵-7x⁴+6x²-14x is (x⁴+2x)(3x-7).
Learn more about Polynomials:
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Answer:
A on edge
Step-by-step explanation:
I passed the test!
(30 points and Brainliest)
If the value of a in the quadratic function f(x) = ax^2 + bx + c is 4, the function will_____.
A)open down and have a minimum
B)open up and have a minimum
C)open down and have a maximum
D)open up and have a maximum
Answer:
I honestly believe it's B I'm sorry if it's wrong
Someone help me please!
*not a test or quiz*
whenever you see this kind of question you don't need to start doing all the expressions, but look at the first and last numbers of the answer, the ones that cannot be changed (have no x or y or have those that cannot be changed in this expression):
the answer can't be a or c because in the given expression we can find 3x²y² and that's the only number where we can find x²y², so it cannot be changed. (you'll have 3x²y² in the answer)
now let's look at the last digit, that doesn't have a x or a y:
in b and d we can find 2 different results so this can determine which answer is correct:
let's look back at the given expression: -7+4= -3
so the answer is b
Int the number 78.9 what digit is the ones place
The Great Pyramid of Giza in Egypt is a square pyramid. The height is approximately 450 feet, and the side length of the base is approximately 750 feet. What is the lateral surface area of the pyramid rounded to the nearest thousandth?
A. 563,000 square feet
B. 1,312,000 square feet
C. 1,441,000 square feet
D. 879,000 square feet
879,000 square feet is the lateral surface area of the pyramid
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The lateral surface area of a square pyramid can be calculated using the formula L = (1/2)Pl
where P is the perimeter of the base and l is the slant height of the pyramid.
Since the base of the pyramid is a square, the perimeter is 4 times the length of one side, or 4 × 750 = 3000 feet.
To find the slant height, we can use the Pythagorean theorem with one leg equal to half the length of the base (375 feet) and the other leg equal to the height (450 feet):
l =√375² + (450)²
= 583.095 feet
Therefore, the lateral surface area is:
L = (1/2) × 3000 × 583.095
= 879,000 square feet
Hence,879,000 square feet is the lateral surface area of the pyramid
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Which of the following best describes a problem that occurs when the majority criterion is observed?
A) The majority criterion cannot be upheld with the Condorcet method.
B) The majority criterion only considers the first-place votes.
C) The majority criterion must be used for first place, second place, third place, and so on to be valid.
D) The majority criterion never applies when the plurality method is used.
Answer:
i belive its A if you get it wrong im sorrry
Step-by-step explanation:
Option C is the statement that best describes a problem that occurs when the majority criterion is observed. This is because the majority criterion is a single-winner system.
Majority criterion:This criterion states that "if one candidate is ranked first by a majority, then that candidate must win".This method complies with the other criteria like the Condorcet method and Plurality method etc.This is applied in such a situation where one person has to be selected.Given information:It is given that all the options except option C are true about the majority criterion.
Option C - "The majority criterion must be used for first place, second place, third place, and so on to be valid" is not correct because this criterion is used only for choosing the first place.
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the smallest number that has 1, 2, 3, 4, and 5 asfactors.
Answer:
The answer is 60
Which will have a negative number?
A)
(-3)(-9)
B)
(-6)(4)
C
-4 --5
D)
-7+9
Answer:
B
positive times negative equal to negative
(-6)(4) = -24