Answer:
X=1
Y=2
Step-by-step explanation:
put 1 in for X
3(1)+3(y)=9
-3(1)+2(y)=1
now put 2 for Y
3(2)+3(2)=9
-3(1)+2(2)=1
3•1= 3
3•2=6
3+6=9
-3•1=-3
2•2=4
-3+4=1
2x-3y=5.5
What is the solution to the system of equations shown above
Answer:
⸻⸻⸻⸻⸻
Solving
2X + 3Y = 5.5
⸻⸻⸻⸻⸻
Simplifying
2X + 3Y = 5.5
⸻⸻⸻⸻⸻
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
⸻⸻⸻⸻⸻
Add -3y to each side of the equation.
2x + 3y + -3y = 5.5 + -3y
⸻⸻⸻⸻⸻
Combine terms: 3y + -3y = 0.
2x + 0 = 5.5 + -3y
2x = 5.5 + -3y
⸻⸻⸻⸻⸻
Divide each side by 2.
x = 2.75 + -1.5y
⸻⸻⸻⸻⸻
Simplifying.
x = 2.75 + -1.5y
⸻⸻⸻⸻⸻
Does anyone know these answers?
Answer:
1. M
2. H
3. A
4. K
5. B
6. C
7. G
8. E
and so on
Step-by-step explanation:
definitions to know:
same side interior/exterior angles
vertical angles
alternate interior/exterior angles
corresponding angles
The table above shows the number of each type of plant in Robert's garden. What is the ratio of the total number of plants in Robert's garden to the number of tomato plants?
Answer: C.
Step-by-step explanation:
Total number of plants in Robert's garden = 8 + 4 + 16 + 22
= 50
Number of tomato plants in Robert's garden = 8
Ratio of total number of plants to the number of tomato plants = 50 : 8
Simplify
50 : 8 = 25:4
Explain please :)
A golfer is hitting a ball up a hill. The height of the hill is represented by the function
y = 0.125x. The height of the ball is measured by the equation
y = –16x^2+56x. How much higher will the ball be when it lands than when it was initially hit?
Answer:
3.49 ft
Step-by-step explanation:
y = 0.125x
y = –16x^2 + 56x
Set the equations equal since the height of the hill
and the height of the ball must be the same
–16x^2 + 56x = 0.125x
Subtract 0.125x from both sides
–16x^2 + 55.875x = 0
Factor out x
x(–16x + 55.875) = 0
From the zero product rule
x = 0
and
–16x + 55.875 = 0
–16x = –55.875
Divide both sides by –16
x = 3.4921875
Diiference in height
3.4921875 - 0 = 3.4921875
3.49 ft
What is the equation of this line?
Answer:
y = x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-0}{1-0}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then
y = x ← equation of line
If I have a triangle and one angle is 25 degrees and I have to find the exterior angles by doing (2X+3) and (3x-17)
Solve the system of linear equations using any method you choose:
-6x + 3y = 18
10x - y = 4
9514 1404 393
Answer:
(x, y) = (1.25, 8.5)
Step-by-step explanation:
I choose to put these equations into reduced general form, then use the "cross multiplication method" to solve.
2x -y +6 = 0
10x -y -4 = 0
d1 = 2(-1) -10(-1) = 8
d2 = -1(-4) -(-1)(6) = 10
d3 = 6(10) -(-4)(2) = 68
Solutions are ...
x = d2/d1 = 10/8 = 1.25
y = d3/d1 = 68/8 = 8.5
The solution is (x, y) = (1.25, 8.5).
_____
Additional comment
I like a graphing calculator for a quick and easy solution. When the values are not integers, I like an algebraic solution to see what the exact values are.
__
The "cross multiplication method" is similar to Cramer's rule in that determinants of pairs of coefficients are computed. If you look up this method, videos will show you a variation that is slightly different. Here, we determined d1, d2, and d3 as the 2×2 determinant of the coefficients in adjacent columns of the array you get from the general form equations with the first column repeated:
[tex]\begin{array}{cccc}2&-1&6&2\\10&-1&-4&10\end{array}[/tex]
In each pair, the determinant is the difference between the product of numbers on the down-diagonal and the product of numbers on the up-diagonal.
The determinants relate to the x- and y-values by ...
1/d1 = x/d2 = y/d3 ⇒ x = d2/d1, y = d3/d1
There is a Vedic solution method for linear equations that is similar to this, but starts from equations in standard form. As a consequence, the cross-differences are done in a different order.
__
Standard form: ax +by = c
General form: ax +by +c = 0
What is the slope of the line shown below?
A. 3/2
B. 2/3
C. -3/2
D. -2/3
9514 1404 393
Answer:
B. 2/3
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For points (x1, y1) = (-3, -7) and (x2, y2) = (9, 1), the slope is ...
m = (1 -(-7))/(9 -(-3)) = 8/12 = 2/3
The slope of the line is 2/3.
Solve 25- (6-) A. -31 B-20 C.20 D. 31
Answer:
The answer is 31
Explanation:
25 - (-6) = 31
we have 25 - (-6) = 25 + 6 = 31
so the answer is D
ok done. thank to me :>
Write an equation in slope-intercept form of the line shown.
what are the solutions to the equation (x-2)(x-4)=8?
Answer:
=
6
=
0
Step-by-step explanation:
The solution to the quadratic equation (x - 2)(x - 4) = 8 are 0 and 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A quadratic equation (x - 2)(x - 4) = 8.
∴ x² - 4x - 2x + 8 = 8.
x² - 6x = 0.
x(x - 6) = 0.
So, x = 0 Or x - 6 = 0 ⇒ x = 6.
learn more about quadratic equations here :
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hsdfhedrjeryeruerueru
what is that? Or I am not understanding
Write a statement
---------------------------------------------------------------------------------------------------------------------
9514 1404 393
Answer:
C) ΔDCE ≅ ΔDQR
Step-by-step explanation:
Corresponding vertices can be identified by the number of arcs signifying congruence.
1 mark: angles D and D
2 marks: angles C and Q
3 marks: angles E and R
Corresponding angles are listed in the same order in the congruence statement:
ΔDCE ≅ ΔDQR
2) The school theater has 17 rows of seats. Each row has 53 seats. Which statement explains how to find the closest estimation of the total number of seats in the theater? A) 17 rounds to 10, 53 rounds to 50, and 10 = 50 = 500 seats. B) 17 rounds to 10, 53 rounds to 60, and 10 x 60 = 600 seats. 9. 17 rounds to 20, 53 rounds to 50, and 20: 50 = 1.000 seats. D) 17 rounds to 20, 53, rounds to 60, and 20 x 60 = 1,200 seats.
Answer: c.) 17 rounds to 20, 53 rounds to 50, and 20: 50 = 1.000 seats
Step-by-step explanation:
*5 or more, add one more. 4 or less, give it a rest (leave it alone)*
17 rounds to 20
(the 7 is used to boost the 1 to a 2 since its more than 5, making it 20)
53 rounds to 50
(the 3 is less than 4 so we leave the 5 as is, making it 50).
Therefore, 20x50 = 1000 seats or 20:50=1000
Is 3 the coefficient of s/3?
The coefficient of s/3 is 1/3.
s/3 = (1/3)s
No, 3 is not the coefficient of s/3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
s/3
This can be written as (1/3)s.
The coefficients of an equation are the non-zero values along with the variables.
Example:
ax² + bx + 3
The coefficients of this equation are a, and b.
The coefficient for the expression s/3 is 1/3.
Thus,
The coefficient of s/3 is 1/3.
s/3 = (1/3)s
No, 3 is not the coefficient of s/3.
Learn more about expressions here:
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can somebody help me plssssss
Answer:
They are equal, so =
Step-by-step explanation:
We know that one-half is .50. 3/2 is an improper fraction and when we solve to a decimal, we get 1.5.
12/23+(9 6/8−3 1/4) sorry for asking the same question but I NEED HELP
Answer:
[tex]\frac{12}{23} + (9 \frac{6}{8} - 3 \frac{1}{4})[/tex]
Exact Form:
[tex]\frac{323}{46}[/tex]
Decimal Form:
7.02173913
Mixed Number Form:
7 [tex]\frac{1}{46}[/tex]
Step-by-step explanation:
how would someone simplify 2√12xy^2
g Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2
answer:
1
Step-by-step explanation:
#'s between zero and two = one
the only number between 0 and two is 1
x = 1 y = 1 z = 1
the average value of the sum of the squares of x, y and z = 1
1, 1, 1
the average is 1
a cyclic quadrilateral is shown x : y = 3 : 7
work out the size of angle z
Answer:
116
Step-by-step explanation:
this is the correct answer
URGENT PLEASE
Heron's Formula:
In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulas for the area of a triangle, such as half the base times the height. Use Heron's formula to find the area, in square centimeters, of ΔABC.
Question 6 options:
A)
16.541
B)
15.612
C)
14.704
D)
24.708
[tex]\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=7.2\\ b=6.7\\ c=4.5\\ s=\frac{7.2+6.7+4.5}{2}\\[0.5em] \qquad 9.2 \end{cases} \\\\\\ A\sqrt{9.2(9.2-7.2)(9.2-6.7)(9.2-4.5)}\implies A=\sqrt{9.2(2)(2.5)(4.7)} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 14.704~\hfill[/tex]
Answer:
The answer is C. 14.704
Step-by-step explanation: I just took the test
I NEED HELP ASAP NO LINKS
Answer:
d = y = 4.25x
correct answer i would say.
Step-by-step explanation:
Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as
4.25 is the cost for 1 pound of Cheddar cheese
Let the cost of the equation be y as required from the question.
y = cost of the cheddar cheese
x is the weight value in pounds of the Cheddar cheese.
The equation can be best represented as
y = 4.25x
In the equation above if the amount in pounds is 3 pound . the value will be inputted for x and the cost will be gotten which is y.
hope this helped!
mark me brainliest :D
What is 15.56 rounded to the nearest tenth?
Answer: 15.6
Step-by-step explanation:
In 15.56, the digit in the tenths place is the second 5. 15.56. So look at the hundredths place (6). If the digit in the hundredths place is smaller than 5, round down. If it's 5 or more, round up. 6 > 5, so we round the tenths place up by one number to get 15.6.
A particular type of fuel tank produced for a particular car model is designed to hold 30
liters. However, the actual capacity of a randomly chosen tank of this type is normally
distributed with mean 30 liters and standard deviation 0.5 liters. Suppose that of the cars
of the above model, 50 percent run 14.5km per liter, 30 percent run 14km per liter and 20
percent run 13.5km per liter under test condition.
i. If you buy a car of the above model, what is the probability that your car will run
more than 420km under test conditions, when tank is filled once?
ii. If a randomly selected car of the above model runs maximum distance of 420km
under test conditions, when the tank is filled once, what is the probability that this
car runs 14.5km per liter?
Answer:
23
Step-by-step explanation:
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How many arrangements can be made for the letters in the word TROTTING? In how many of these are N and G next to each other.
Answer:
6720.
1680.
Step-by-step explanation:
There are 3 T's and 5 other distinct letters in this word s
The number of arrangements
= 8! / 3!
= 8*7*6*5*4
= 6720 ways.
If N and G are next to each other we consider it to be 1 letter. Now we can have GN or NG so the answer is
(7!/3!) * 2
= 1680 ways.
Jon wants to earn at least $75,000 a year and live in a posh urban setting. James’s career plan includes earnings of $35,000 a year and simple, cheap living conditions. Whose lifestyle expectations are better?
Both are equally valid, they just have different preferences.
James’s, because he has more realistic expectations.
Jon’s, because he will have a higher quality of life
It depends on their career goals and family plans.
Answer:
Jon’s, because he will have a higher quality of life
Step-by-step explanation:
James wants to live in a cheap living condition so his quility is going to be worse. John wants to live in a posh urban setting and posh urban is higher quility than cheap living condition. So the anwser is C.
Answer:
Step-by-step explanation:
James
Molly needs to rent a car while on vacation. The rental company charges $19.95, plus 17 cents for each mile driven. If Molly only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
Usually a company may charge a startup fee, is a charge for some things they need to do to start the service, in this case may just be paperwork, and it's $19.95, a fixed cost, and they're charging 17 cents or $0.17 for every mile driven, let's say that Molly is going to drive "m" miles, so the cost equation in "m" terms will be C(m) = 19.95 + 0.17m.
Now, we know she only has 40 bucks to spend, so, if she can keep her Cost to 40 bucks, how many miles can she go for?
[tex]C(m) = 19.95+0.17m\qquad \qquad \stackrel{\stackrel{cost}{\downarrow }}{40}=19.95+0.17m\implies 20.05=0.17m \\\\\\ \cfrac{20.05}{0.17}=m\implies 117.94\approx m[/tex]
now, if we were to round that up to whole miles, it'd be only 117.
In 1950, the group spent 23% of their budget on food. This has decreased
at an average rate of approximately 0.27% per year since then. Find a
linear function in slope-intercept form that models the percentage of total
spending, p(x), by the group x years after 1950.
The linear function that can be used to model this relationship is:
y = -0.27x + 23
A linear function is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let P(x) represent the percentage of total spending x years after 1950.
Since In 1950, the group spent 23% of their budget on food, hence b = 23.
Also, this has been decreasing at 0.27% per year. Hence m = -0.27.
The linear function that can be used to model this relationship is:
y = -0.27x + 23
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Y=1/2x-5
What is the slope?
Answer: 1/2
Step-by-step explanation:
Slope is the number in front of x
Answer:
The slope of the line or m is represented by 1/2. x and y are coordinates on the line and -5 represents the y-intercept. The used for this equation is y = mx + b. M = slope and b is the y-intercept
Step-by-step explanation:
Hope I made sense to you.
Use the drawing tools to form the correct answer on the graph. What is the inverse of the function shown? (4,-2)
well, keeping in mind that to draw a line all we need is two points, now, the one drawn already has many points let's pick two off of it, hmmm (-1,4) and (-6,-2).
Now, let's recall that for inverse functions, the domain of the original is the range of the inverse and the range of the original is the domain of the inverse, what does that mean? heheh, well, it simple means that for any point on the original that is say (a , b), the inverse will have a point at the flipped version of it of (b , a). So if the orginal has the points aforementioned above, then the inverse will surely have the points of (4 , -1) and (-2 , -6), and we can just draw a line through those. Check the picture below.