Answer:
I think it's answer choice A!
Step-by-step explanation:
The reason why I think that it is A is because of the given y values. The x values are consistent through all of the given choices, but if graphed, there is a distance of three units between the y-value of 4 and the y-value of 7. I personally like to use Desmos when it comes to trying to get a visual graph of coordinates. I hope this at least helped a little!
The distance between (2,4) and (2,7) is 3 therefore, these two points have a distance of 3 units, therefore, option (A) will be correct.
How to find the distance between two points?Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
The distance between with two points (x₁, y₁) and (x₂, y₂) is given as,
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
In option (A),
Points are (2,4) and (2,7).
The distance between them will be,
[tex]d = \sqrt {\left( {2 - 2 } \right)^2 + \left( {4 - 7 } \right)^2 }[/tex]
d = √(3²) = 3
Hence "The distance between (2,4) and (2,7) is 3 therefore, these two points have a distance of 3 units".
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Max puts a stopper in the bathtub and turns on the faucet at t=0. After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub. Write an equation that relates the number of gallons, g, to the time, t. Does the relationship represent a linear function? Justify your response.
Answer:
y = 2.2x
Yes, it represents a linear function
Step-by-step explanation:
Given that :
Stopper applied at t = 0
At t = 5 minutes ; water in tub = 11 gallons
At t = 10 minutes ; water in tub = 22 gallons
General form of a linear function :
y = mx + c
Where c = intercept ; m = Slope ; y and x are dependent and independent variables respectively
The intercept = gallon of water at t = 0 ; this is not given and will be taken as 0
Slope = change in y / charge in x
Slope = (22 - 11) / (10 - 5)
Slope = 11 / 5
Slope = 2.2
Hence ;
y = 2.2x + 0
y = 2.2x
Yes, it represents a linear function
(7x-1)+(13x-19)=180 solve for x
Answer:
x = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
(7x - 1) + (13x - 19) = 180
Step 2: Solve for x
Combine like terms: 20x - 20 = 180Isolate x term: 20x = 200Isolate x: x = 10Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: (7(10) - 1) + (13(10) - 19) = 180Multiply: (70 - 1) + (130 - 19) = 180Subtract: 69 + 111 = 180Add: 180 = 180Here we see that 180 does indeed equal 180.
∴ x = 10 is the solution to the equation.
2 + 2x + 1 = 3 + 2 + 3
A one solution
B no solutions
C infinite solutions
Answer:
The correct answer is A. one solution.
The actual solution is x = 2.5.
Step-by-step explanation:
Here is the solution below:
Step 1: 2 + 2x + 1 = 3 + 2 + 3 <----- Here is the original problem.
Step 2: 2 - 2 + 2x + 1 - 1 = 8 - 2 - 1 <----- Subtract 1 and 2 from both sides.
Step 3: 2x = 5 <----- Simplify
Step 4: 2x/2 = 5/2 <---- Divide both sides by 2.
x = 2.5
Hope this helps! :D
A. One Solution
Step-by-step explanation:Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form: x=5/2
Decimal Form: x=2.5
Mixed Number Form: x=2 1/2
Subtract 5¢ from $4.10. Include the dollar sign and no spaces in your answer.
Answer:
4.05 c
Step-by-step explanation:
Answer:
$4.05
Step-by-step explanation:
$4.10 - $0.05 = $4.05
Please help someone anyone please help
Answer:
if 135 calories represents 1/4 then a whole cup is 540 calories so two cups is 540 times 2 which is 1080
Step-by-step explanation:
Answer:
1080 calories
Step-by-step explanation:
135x8=1080
PLEASE HELP WILL MARK BRAINLIEST NEED THE SMARTEST PEOPLE!!!
Answer:
-430
Step-by-step explanation:
Please help
Thanks In advance!
the answer will be 4
x=4.
the angle ABC is parallel to angle AEF
Which of the following is NOT always true of a function and its inverse?
The statement that is not always true of inverse functions is (d) f-1(x) is a function
What are inverse functions?Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function
How to determine the statement that is not always true of inverse functions?As mentioned above,
The inverse functions are the opposite of an original equation
This means that:
If a function is f(x), then the inverse if f-1(x)
However, all inverse equation are relations, but not all inverse equations are functions
This means that the statement that is not always true of inverse functions is (d) f-1(x) is a function
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If he drank 80% of his water on his entire hike. How much did he drink? (Remember he brought 3 liters of water.)
p.s i have class
Answer:
2.4 Litres of waterStep-by-step explanation:
80% of (3 litres)
You can take 3 litres to be 3000 ml which is how I solved it.
OPTION 1_________80/100 x 3000
=2400 or 2.4 litres
The same can go with not taking ml which you can just use litres
OPTION 2_________80/100 x 3
=2.4 litres
I used the ml since I do not need the calculator for that one and it is faster to calculate.
Solve the following inequality 18x<-25
Answer:
X = - 25/18 the answer is that
Answer:
x < -1[tex]\frac{7}{18}[/tex]
Step-by-step explanation:
18x < -25
Divide both sides by 18.
x < -25 ÷ 18
Evaluate.
x < -1[tex]\frac{7}{18}[/tex]
a wall is covered with 6 wood panels. each panel is a square with a side length of x feet. write an expression to represent the total area, in square feet, covered by the wood panels.
6x² is the total area, in square feet, covered by the wood panels.
What is area?
The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.A wall is covered with 6 wood panels. Each panel is a square with a side length of "X" feet.
So based on this, we can say that The expression to represent the total area, in square feet,
So, the wood panels is to be considered as the 6 × x² = 6x²
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express this number in scientific notation 2,000,000
Answer:
In scientific notation the number would be 2×10^6.
Hope it helps!
Maria drove 520 miles in 8 hours. How many miles per hour did she drive?
Answer:
65 mph
Step-by-step explanation:
520/8 is 65
Tommy went to Taco World and bought 3 tacos and 4 burritos and spent $14.30. Burritos cost twice as
much as tacos. What was the cost of each taco and each burrito?
If Tommy spent $14.30 and the cost of burritos is twice as much as tacos then the cost of Taco is $1.30 and the cost of burrito is $2.60.
Given that Tommy spent $14.30 and the cost of burritos is twice as much as tacos .
We are required to find the cost of each tacos and burrito.
Suppose the cost of a taco be x and the cost of burrito be y.
Because the cost of burrito is twice as the cost of taco so y=2x.
Total expenditure by Tommy=3x+4*2x
14.30=3x+8x
11x=14.30
x=1.30
y=2*1.3
y=$2.60
Hence if Tommy spent $14.30 and the cost of burritos is twice as much as tacos then the cost of Taco is $1.30 and the cost of burrito is $2.60.
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4(1-x)+2x=-3(x+1)
-) 7/5
-) -7/5
-) -3/4
-) -7
Answer:
the last one -) -7
Step-by-step explanation:
if this help you please give me a crown please
The price of a TV rose from $350 to $371 in one
month. By what percent did the TV price rise?
whats the answer giving brainliest answer
Answer:
C because its the only one that fits the question its asking. 12-6 8-4 4-2
Step-by-step explanation:
how do you do this with decimals
PLEASEEE HELP ME FO THISSS
As C is the mid-point of BD.
Therefore, BC=DC ...(i)
As AB ⊥ BD and ED ⊥ BD
So, ∠ABC= 90° and ∠EDC= 90°
Therefore, ∠ABC=∠EDC= 90° ...(ii)
As two line segments, AE and BD intersect at point C, so the vertically opposite angles are equal.
Therefore, ∠BCA=∠DCE ...(iii)
Now, in ΔABC and ΔEDC,
Angle, ∠BCA=∠DCE [ from equation (iii)]
Side, BC=DC [ from equation (i)]
Angle, ∠ABC=∠EDC [ from equation (ii)]
So, by ASA property of congruency, ΔABC and ΔEDC are congruent
Hence, ΔABC ≅ ΔEDC.
Im on a test and i need the answer really bad please help me out
Find the missing side, round to the nearest hundredth.
Answer:
1)10.57
2)5.91
Step-by-step explanation:
1)According to Pythagoras theorem
c=√a²+b²
=√5.2²+9.2²
=√27.04+84.64
=√111.68
=10.57
2) according to Pythagoras theorem
c²=a²+b²
6.5²=2.7²+b²
b²=6.5²-2.7²
b=√6.5²-2.7²
=√42.25-7.29
=√34.96
=5.91
HELP!!!! I NEED IT ASAP!!!!
Answer:
27 and 28
Step-by-step explanation:
Let x = the first number
Let x + 1 = the second number
x + x + 1 = 55 Combine the x's
2x + 1 = 55 Subtract 1 from both sides.
2x = 54 Divide both sides by 2
x = 27 the second number would be 28
Which two points have the same absolute value?
P Q R S
_______________
-1 0 1
Answer:
-1 and 1
Step-by-step explanation:
Find the difference: -15 - 47
Answer:
-62
Step-by-step explanation:
One easy way to subtract two negative numbers like this (for me anyway) is to factor out the minus sign and add:
- (15 + 47)
- (62)
Remove the parentheses
-62
A bicycle with 28-inch diameter wheels is traveling at 25 mi/h. find the angular speed of the wheels in rad/min.
The angular speed of the bicycle's wheels that are traveling at 25 mi/h is 1885.7 rad/min
To solve this angular speed problem the formula and the procedure we will use is:
v = w * r
Where:
v = tangential velocityw = angular velocityr = radiusInformation about the problem:
v = 25 mi/hd = 28 inchw = ?Calculating the radius of the wheel, we have:
r = d/2
r = 28 inch/2
r = 14 inch
Converting the velocity unit from mi/h to inch/min, we get:
25 mi/h * (63360 inch / 1 mi) * (1h / 60 min) = 26400 inch/min
Applying the tangential velocity formula and isolating the angular velocity, we get:
v = w * r
w = v / r
w = 26400 inch/min / 14 inch
w = 1885.7 rad/min
What is angular speed?When an object is in uniform circular motion, the angle described by the radius in each unit of time is known as angular speed. It is measured in units of (rad/s) (revolutions/s).
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how far away is earth from the sun?
Answer:
the earth is 93.111 million miles away from the sun
PLEASE HELP WILL MARK BRAINLIEST Question 8
Which pair of equations show below would have infinite solutions?
Answer
A Y = -2 + 8
y = 4x - 7
B y = x - 4
y = 3x - 2
C) x
x – 3y = -3
x – 3y = 6
D 3x +y = 3
6x + 2y = 6
Answer:
Step-by-step explanation:
a)y=-2x+8
y=4x-7
solution
b)y=x-4
y=3x-2
solution
c)x – 3y = -3
x – 3y = 6
no solution
d)3x +y = 3
6x + 2y = 6
infinite.
Answer: D
Step-by-step explanation:
Leeza deposited $1,600 in a savings account with a simple interest rate of 4.5%.
How much interest will Leeza earn after 6 years if she makes no additional deposits
or withdrawals?
Find a quadratic function that includes the set of values below.
(0,6) (2,12) (3,9)
The equation of the parabola is y= ____
The quadratic function that includes the set of values is y = -2x^2 + 7x + 6
How to find a quadratic function that includes the set of values?The set of values is given as
(0,6) (2,12) (3,9)
A parabola is represented as
y = ax^2 + bx + c
At (0, 6), we have
6 = a(0)^2 + b(0) + c
This gives
c = 6
So, we have
y = ax^2 + bx + 6
At (2, 12), we have
12 = a(2)^2 + b(2) + 6
This gives
4a + 2b = 6
At (3, 9), we have
9 = a(3)^2 + b(3) + 6
This gives
9a + 3b = 3
Using a graphing tools, we have
a = -2 and b = 7
So, we have
y = -2x^2 + 7x + 6
Hence, the quadratic function that includes the set of values is y = -2x^2 + 7x + 6
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f(x) = x² + 3x
f(-4)=
evaluate the function
Answer:
4
Step-by-step explanation:
f(x) = x² + 3x
f(-4) = (-4)^2 + 3×(-4)
= 16 - 12
= 4