Which of the coordinate pairs is a point on the line y = -2/5x + 4?
A.) (2, 3)
B.) (-5, 6)
C.) (6, 2)
D.) (-2/5, 4)
Answers
Answer:
B.) (-5, 6)
Step-by-step explanation:
to solve algebraically, test the coordinate pairs in the equation [tex]y = -\frac{2}{5}x + 4[/tex]
to solve graphically, enter the equation [tex]y = -\frac{2}{5}x + 4[/tex] into a graphing calculator and graph the coordinate pairs as well to see which one is on the line.
(2, 3) is NOT a solution.
steps for solving algebraically:
first, identify the x and y values in your coordinate pair.
2 is the x-value and 3 is the y-value. coordinate pairs are always written as (x, y).plug in 2 for x in [tex]y = -\frac{2}{5}x + 4[/tex] (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)
y = -2/5x + 4 ⇒ y = -2/5(2) + 4now plug in 3 for y.
y = -2/5(2) + 4 ⇒ 3 = -2/5(2) + 4your equation is now 3 = -2/5(2) + 4. begin simplifying by multiplying -2/5 and 2.
3 = -2/5(2) + 4 ⇒ 3 = -0.8 + 4 (i converted my answer to a decimal because i'm better at dealing with decimals as opposed to fractions lol)now add -0.8 + 4 to simplify the rest of the right side of the equation.
3 = -0.8 + 4 ⇒ 3 = 3.23 and 3.2 are not equal, therefore (2, 3) is not a solution.
(-5, 6) IS a solution.
steps for solving algebraically:
first, identify the x and y values in your coordinate pair.
-5 is the x-value and 6 is the y-value. coordinate pairs are always written as (x, y).plug in -5 for x in [tex]y = -\frac{2}{5}x + 4[/tex] (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)
y = -2/5x + 4 ⇒ y = -2/5(-5) + 4now plug in 6 for y.
y = -2/5(-5) + 4 ⇒ 6 = -2/5(-5) + 4your equation is now 6 = -2/5(-5) + 4. begin simplifying by multiplying -2/5 and -5.
6 = -2/5(-5) + 4 ⇒ 6 = 2 + 4now add 2 + 4 to simplify the rest of the right side of the equation.
6 = 2 + 4 ⇒ 6 = 66 and 6 are equal, therefore (-5, 6) is a solution.
although we have identified (-5, 6) as a solution, i'm still going to check the rest of the points just to be sure! :)
(6, 2) is NOT a solution.
steps for solving algebraically:
first, identify the x and y values in your coordinate pair.
6 is the x-value and 2 is the y-value. coordinate pairs are always written as (x, y).plug in 6 for x in [tex]y = -\frac{2}{5}x + 4[/tex] (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)
y = -2/5x + 4 ⇒ y = -2/5(6) + 4now plug in 2 for y.
y = -2/5(2) + 4 ⇒ 2 = -2/5(2) + 4your equation is now 2 = -2/5(6) + 4. begin simplifying by multiplying -2/5 and 6.
2 = -2/5(6) + 4 ⇒ 2 = -2.4 + 4 (i converted my answer to a decimal because i'm better at dealing with decimals as opposed to fractions lol)now add -2.4 + 4 to simplify the rest of the right side of the equation.
2 = -2.4 + 4 ⇒ 2 = 1.62 and 1.6 are not equal, therefore (6, 2) is not a solution.
(-2/5, 4) is NOT a solution.
i see that they want to trick you with this one by using the values that are in other spots in the equation... that's crafty
steps for solving algebraically:
first, identify the x and y values in your coordinate pair.
-2/5 is the x-value and 4 is the y-value. coordinate pairs are always written as (x, y).plug in -2/5 for x in [tex]y = -\frac{2}{5}x + 4[/tex] (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)
y = -2/5x + 4 ⇒ y = -2/5(-2/5) + 4now plug in 4 for y.
y = -2/5(-2/5) + 4 ⇒ 4 = -2/5(-2/5) + 4your equation is now 4 = -2/5(-2/5) + 4. begin simplifying by multiplying -2/5 and -2/5.
4 = -2/5(-2/5) + 4 ⇒ 4 = 0.16 + 4 (i converted my answer to a decimal because i'm better at dealing with decimals as opposed to fractions lol)now add 0.16 + 4 to simplify the rest of the right side of the equation.
4 = 0.16 + 4 ⇒ 4 = 4.164 and 4.16 are not equal, therefore (-2/5, 4) is not a solution.
as for finding the solution on a graph, enter the equation for the line as well as the coordinate pairs into a graphing calculator. here i used a handy little site called desmos in order to graph all of this. the first photo i attached contains what i entered into the calculator, and the second photo i attached shows the graph. as you can see, the only point that is actually on the line is (-5, 6), which is why (-5, 6) is a solution to [tex]y = -\frac{2}{5}x + 4[/tex] , and the other coordinate pairs are not solutions to that equation because they are not on the line.
i hope this helps! have a lovely rest of your day <3
Answer:
its D you don't even need to do all the work bc the same numbers are right there in the equation
Related Questions
Lawrence deposits 512$ in saving account that earns 1.5% commission how much money would be in his account after 2 years
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Answer:
$519.68
Step-by-step explanation:
(512$ × 1.5)/100
=$7.8
512$+ $7.8
= $519.68
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Be prepared!!! Help please!!!! What is 1/3x 3.14x6^2x11 equal????
Answers
What is this number in standard form?
(5×1,000)+(7×10)+(8×1)+(4×110)+(1×11,000)
Answers
Standard form of given expanded form of a number is 16518.
What is meant by expanded form?The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number.
Given
Expanded form = (5×1,000)+(7×10)+(8×1)+(4×110)+(1×11,000)
We have to convert the expanded form into standard form
= 5000 + 70 + 8 + 440 + 11000
= 16518
Thus, standard form of given number is 16518.
Find out more information about expanded form here
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Answer:
16,518
(or 1.6518 x 10⁴)
Step-by-step explanation:
Expanded form: The digits of a number are split into individual digits based on their place value. Each digit of a number can be written in multiple of 1, 10, 100, 1000, etc.
Standard form: The combination of digits written together as a single number.
The given number is not quite, but almost, written in expanded form:
(5 × 1,000) + (7 × 10) + (8 × 1) + (4 × 110) + (1 × 11,000)
For it to truly be written in expanded form, the (4 × 110) would be written as (4 × 10) + (4 × 100) and the (1 × 11,000) would be written as either (11 × 1,000) or (1 × 10,000) + (1 × 1,000).
If the number should be written in standard form as defined above, carry out the operations in the parentheses, then add them together:
[tex]\large\begin{array}{l c r}8 \times 1 & = & 8\\7 \times 10 & = & 70\\4 \times 110 & = & 440\\5 \times 1000 & = & 5000\\1 \times 11000 & = & 11000\\\cline{3-3}& & 16518\end{array}[/tex]
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However, in math there is another type of Standard Form (also called "Scientific notation") that is written in the form of [tex]a \times 10^n[/tex], where [tex]1\leq a < 10[/tex] and [tex]n[/tex] is any positive or negative whole number.
To convert a number into standard form, move the decimal point to the left or right until there is one digit to the left of the decimal point.
The number of times you have moved the decimal point is the power of 10 ([tex]n[/tex]).
If the decimal point has moved to the left, the power is positive.
If the decimal point has moved to the right, the power is negative.
To convert 16518 into standard form:
Move the decimal point 4 places to the left and multiply by 10 to the power of the number of places the decimal was moved (4):
⇒ 1.6518 x 10⁴
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**I have provided both standard forms, as it is not clear from the question which is required.**
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Answers
Answer:
No Solution
Step-by-step explanation:
all the ordered pair doesn't satisfy the equation.
p-(p-q)-q-(q-p)
can any one write down the answer with explanation I'll also mark brainliest
Answers
p - (p - q) - q - (q - p)
= p - p + q - q - q + p
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Notes:
- x - = +
+ x - = -
- x + = -
+ x + = -
‘+’ means a positive number
‘-’ means a negative number
‘x’ means times
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
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Paula is the student council member responsible for planning an outdoor dance. Plans include hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage student attendance while still covering the cost of the band and the food.
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Write a system of equations to represent the cost of the two bands.
Answers
Answer:
Plans include hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage student attendance while still covering the cost of the band and the food. Question 1: Band A charged $700 to play for the evening and Band B changers $550 plus $1.50 per student.
Step-by-step explanation:
At the mall in Miami, Roberto found a jacket he liked. The normal price was $120, but the jacket was on sale for 40% off. If Roberto has $50 to spend, does he have enough to buy the jacket? If not, how much more money does he need?
Answers
Answer: No, He will need $22 to add to his money to buy jacket.
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
WILL MARK BRAINLIEST!!!
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Step-by-step explanation:
1:
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2:
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Your parents are building a pool that is 7 ft wide and 12 ft long. They want to put a walkway around the pool that is x ft wide on all sides. Write a polynomial that represents the combined area of the pool and walkway. Answer needs to be in standard form and use x as your variable.
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
By Basic Proportionality Theorem:
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Write an equation in slope-intercept form that passes through (5, -8) and runs perpendicular to y = 5/2x + 4
Answers
y= (-2/5)x-6
Step-by-step explanation:
the slope of the line perpendicular the the given line is found by the formula m1.m2= -1 hence m2= -2/5
using the slope-intercept form
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2 cm
cm
y cm
1. Write an equation showing the relationship between 3 and y.
Type the equation in the box below.
I
Answers
Answer:
3x+2y
Step-by-step explanation:
Find the rectangles attached
Area of a rectangle = Length * Width
A = A1+A2
given
A = 30cm²
A1 = 3 * x
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A2 = 2*y
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Substitute
30 = 3x+2y
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Step-by-step explanation:
A = L x W
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One angle is 3 and x, the other one is 2 and y.
Multiply 3 with x = 3x.
Multiply 2 with y = 2y
Then create your equation plugging in 30 as the answer to 3x + 2y
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Answers
Answer:H+9.3 = -9.3 : H = -18.6 (pls brainless)
Step-by-step explanation:
Subtract 9.3 from both sides.
H + 9.3 - 9.3 = -9.3 - 9.3
Simplify:
H= -18.6
h=-18.6
-18.6+9.3=-9.3
So yes the answer to h+9.3=-9.3 is correct
The cost of renting a bowling alley for a party is $110, plus $5 a person for food. Which equation can be used to find the total cost, C, of a party at a bowling alley for x friends?
Answers
Answer:
c=110+5x
Step-by-step explanation:
The equation that represents the total cost is C = 5x + 110.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expense of leasing a bowling alley for a party is $110, in addition to $5 an individual for food.
Let 'C' be the total cost and 'x' be the number of friends. Then the equation is written as,
C = 5x + 110
The equation that represents the total cost is C = 5x + 110.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Answers
Answer:
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Step-by-step explanation:
Solve this equation: b - 120 = 80
What is the value of b? (what is b)
Answers
Answer:
b=200
Step-by-step explanation:
Cancel -120 from both sides by adding 120 to the other side:
b=80+120
b=200
Answer:
b= 200
Hope it helps, if not, I'm so sorry.
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Answer:
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Answer:
English translate for my help please??!
Step-by-step explanation: