Question:
Brianna solved a two-step equation, but she made a mistake along the way.
[tex]0.1x + 3 = 1.7[/tex]
Line 1 : [tex](-3) + 0.1x + 3 = 1.7 + (-3)[/tex]
Line 2 : [tex]0.1x = -1.3[/tex]
Line 3 : [tex](-0.1) + 0.1x = -1.3 + (-0.1)[/tex]
Line 4: [tex]x = -1.4[/tex]
Answer:
On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.
Step-by-step explanation:
Required
Where did she make a mistake?
To do this, we simply analyse her workings one step at a time
Equation: [tex]0.1x + 3 = 1.7[/tex]
Line 1 : [tex](-3) + 0.1x + 3 = 1.7 + (-3)[/tex]
This is correct because she subtracted 0.3 from both sides
Line 2 : [tex]0.1x = -1.3[/tex]
This is also correct because she performed the arithmetic correctly
Line 3 : [tex](-0.1) + 0.1x = -1.3 + (-0.1)[/tex]
This is incorrect.
Division by 0.1 is expected not subtraction
Answer:
It's C
Step-by-step explanation:
Given that f(x)=2x+1
a) find f(2)
b)find f^-1(x)
c)f^-1(7)
Answer:
a) [tex]f(2) = 5[/tex], b) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex], c) [tex]f^{-1} (7) = 3[/tex]
Step-by-step explanation:
a) We evaluate the function at [tex]x = 2[/tex]:
[tex]f(2) = 2\cdot (2) + 1[/tex]
[tex]f(2) = 4+1[/tex]
[tex]f(2) = 5[/tex]
b) First, we determine the inverse of the function by algebraic means:
1) [tex]y = 2\cdot x + 1[/tex] Given
2) [tex]y +(-1) = 2\cdot x + [1+(-1)][/tex] Compatibility with addition/Associative property
3) [tex]y + (-1) =2\cdot x[/tex] Existence of additive inverse/Modulative property
4) [tex]2^{-1}\cdot [y+(-1)] = (2\cdot 2^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties
5) [tex][y+(-1)]\cdot 2^{-1} = x[/tex] Existence of multiplicative inverse/Modulative and commutative properties
6) [tex]x = [y+(-1)]\cdot 2^{-1}[/tex] Symmetry property of equality
7) [tex]x = \frac{y-1}{2}[/tex] Definitions of subtraction and division
8) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex] [tex]x = f_{-1} (x)[/tex]/[tex]y = x[/tex]/Result
c) Now we evaluate the expression obtained on b) at the given number:
[tex]f^{-1} (7) = \frac{7-1}{2}[/tex]
[tex]f^{-1} (7) = 3[/tex]
Here is a base-ten diagram that represents 1.13.
Use the diagram to find 1.13\:-0.461.13−0.461.13 − 0.46.
Answer: 0.67
Step-by-step explanation:
its all on the picture.
Answer:
B!
Step-by-step explanation:
By the way, you named this as Mathematics... This is science but, the answer is B.
Answer:
Water carbon dioxide and oxygen.
Step-by-step explanation:
Its all in the picture. It labels the substances used in the cycle.
George wants to rent a car for a road trip with his friends. He checked the rentals with two companies. Company A charges a non-refundable fee of $50 and then also $150 for each day. Company B charges using the function 50(2+1). Compare the two functions. Which function has a great rate of change?
Answer:
Company A has a greater daily rate
Step-by-step explanation:
Given
Company A
[tex]Base\ Charges=\$50[/tex]
[tex]Daily\ Rate = \$150[/tex]
Company B
[tex]f(x) = 50(2x +1)[/tex]
Required
Determine the company with greater rate
Simplify the expression of company B
[tex]f(x) = 50(2x +1)[/tex]
[tex]f(x) = 50 * 2x + 50 * 1[/tex]
[tex]f(x) = 100x + 50[/tex]
In a linear function:
[tex]f(x) = mx + b[/tex]
m represents the rates.
This implies that the rate of company B is:
[tex]Rate =100[/tex]
and the rate of company A is
[tex]Daily\ Rate = \$150[/tex]
By comparison:
Company A has a greater daily rate
There are 347 students going on a field trip. Each bus holds 44 students. If each bus costs $95, is the total cost of the buses more than $1,000? Estimate, then find the exact answer.
Answer:
Total cost= $760
Step-by-step explanation:
Giving the following information:
Number of students= 347
Each bus holds 44 students.
Bus cost= $95
First, we need to determine the number of buses needed:
Number of buses= total students / student per bus
Number of buses= 347 / 44
Number of buses= 7.88 = 8 buses
Now, the total cost:
Total cost= 8*95
Total cost= $760
Use the figure to solve for the missing angles
m<1:51, m<2:39, m<3:90
What is a real solution and examples of real solutions
Answer:
A real solution in algebra is simply a solution to an equation that is a real number.
for example
If y>0, then x2 = y has two real solution or roots. x = ±√y
If y=0, then x2 = y has one real solution.
A similarity transformation consisting of a reflection
and a dilation is performed on a figure, and one point maps to itself. Explain how this can happen.
If the point in question is on the line of reflection, then the point won't move. Any point on a line of reflection stays where it is.
If that same point is the center of dilation, then it also doesn't move. The center of dilation is the only point that doesn't move in a dilation.
So the two conditions are:
The point must be on the line of reflectionThe point must be the center of dilationThese two facts mean that the line of reflection must go through the center of dilation.
Calculate the area of trapezium CDEF.
Step-by-step explanation:
1/2×(9+5)×6
1/2×14×6
7×6
42cm2
7. A car that was originally worth $29,500 depreciates at a rate of $2,500 per year. Find the
value of the car after six years.
6 = m/8 Solve the equation.
[tex]6=\frac{m}{8}\\x=48[/tex]
Point slope help me out please
Answer:
Slope for AB is 0
Step-by-step explanation:
Y=b
Y = -2
Y= y-intercept because there is no slope so y=b instead of y=mx+b
There are 40 apples in a crate.
3
5 of the apples are bad.
How many good apples are there?
I'm also struggling this problem too
Answer:
21 6
7 2
14 4
Step-by-step explanation:
not sure |•-•|
Rectangle A has side lengths of 6 cm, and 3.5 cm. The side lengths of
rectangle B are proportional to the side lengths of rectangle A. What could
be the side lengths of rectangle B? *
5 cm and 2.5 cm
3 cm and 1.75 cm
12 cm and 5 cm
Answer:
3 cm and 1.75 cm
Step-by-step explanation:
the numbers have to coincide with the ones being compared in the same amount. like 3×2=6 and its the same with 1.75×2=3.50
To solve the equation 2−5(3+4x)=2x+7, Miranda's first step was to write 2−15−20x=2x+7. Which property did Miranda use in her first step?
Answer:
Step-by-step explanation:
distributive
at what rate, how long will it take to go 4.5 miles
Step-by-step explanation:
they need a car to drive duhhhhh
Answer:
0.36 hours
Step-by-step explanation:
Divide 4.5 with 12.5 mph.
Question 1
Review
Listen
Perry invested in property that cost him $1500. Five years later it was worth $3000, and 10
years from his original purchase, it was worth $6000. Assuming the growth rate remains the
same, which type of function could he create to find the value of his investment 30 years from
his original purchase?
1.
exponential function
2.
linear function
3.
quadratic function
4.
trigonometric function
Submit Answer
Answer:
Exponential
Step-by-step explanation:
compare and contrast rates and ratios
Answer:
A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.
Step-by-step explanation:
For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.
is this linear or non-linear?
y=
[tex] \frac{x}{9} [/tex]
+12
Answer: Linear Function.
Step-by-step explanation: The Y intercept is 12, and the slope is x/9, so you have a constant slope, therefore it is linear.
Which sequence explains a geometric method of determining StartFraction 3 minus 17i Over 2 + 2 I EndFraction ?
Chase caught 2/3 of the balls hit to left field. Ryan caught 3/5 of the balls hit to right field. Which pair of equivalent fractions will help them find the total amount of the balls they both caught?
Answer:
1 4/15 balls
Step-by-step explanation:
From the question, we are told that:
Chase caught 2/3 of the balls hit to left field.
Ryan caught 3/5 of the balls hit to right field.
The Lowest common denominator for both fraction is given as 15
Hence, the equivalent fractions for each boy is calculated such that the denominators of both fraction is 15
For Chase:
We Multiply both numerator and Denominator by 5
2 × 5 /3 × 5 = 10/15
2/5 = 10/15
For Ryan
We Multiply both numerator and Denominator by 3
3 × 3 /5 × 3 = 9/15
3/5 = 9/15
The total amount of the balls they both caught is:
10/15 + 9/15
= 19/15 = 1 4/15
Show all work to factor x^4 − 17x^2 + 16 completely.
Please explain how you got your answer and show the steps. I completely forgot how to do it over winter break.
Answer:
it looks like it is completely factored out to me at least there is a high possibility I am wrong because that looks complicated I wish I could help
help me find the area :)
Answer:
20.625 ft²
(hope this is right :)
hereeee lol& thanks again<3!
Answer:
-1/2 is the slope. This means that the graph moves down one unit, and right 2 units (over and over again)
-1 is the y-intercept. This is where the line hits the y-axis
start by plotting the y-intercept (0,-1)
then move down one unit, and right two units, and plot another point.
this is the line y=-1/2x-1
Step-by-step explanation:
Step-by-step explanation:
hope it helps
............
MARKING BRAINLIEST PLZ HELP! You are given the following five lines:
Line 1: y=-2x + 9
Line 2: y= 1/2x + 1
Line 3: y= 2x + 2
Line 4: 6x - 3y = 6
Line 5: 4x + 2y = 4
Part A: Which two lines could be used to create a system of equations that has no solution? Explain your answer
Part B: Which two lines could be used to create a system of equations that has many solutions? Explain your answer
Part C: Which two lines could be used to create a system of equations that has one solution? Explain your answer
Part A:
lines y=-2x+9 and 4x+2y=4 can be used to create a system of equation that has no solution because none of the lines intercept on a graph.
Part B:
lines y=2x+2 and 6x-3y=6 can be used to create a system of equation that has infinitely many solutions because again none of the lines intercept on a graph
Part C:
The lines y=1/2x+1 and 4x+2y=4 can be used to create a system of equations with one solution because on a graph both lines intersect at one point.
The Graphs Are Shown Below.
HIgh Hopes
Barry-
An architectural drawing of a building shows the elevation of the basement floor to be –10 feet. The elevation of the roof is 40 feet. How far is it from the basement to the roof?
If one of the diagonals of a rectangle is 20cm and the difference between the length and the width is 4cm. What is the area of the triangle
Answer:
192cm²
Step-by-step explanation:
The diagonal of the rectangle is expressed using the formula:
d = √l²+w²
l is the length
w is the width
Given d = 20
20 = √l²+w²
400 = l²+w² .... 1
Since the difference between the length and the width is 4cm, then;
l - w = 4 ... 2
l = 4 + w
Substitute equation 2 into 1;
400 = (4+w)²+w²
400 = 16 +8w + w² +w²
400 = 16 + 8w + 2w²
2w²+8w - 384 = 0
w²+4w - 192 = 0
w = -4±√4²-4(-192)/2
w = -4±√16+768/2
w = -4±28/2
w = -4+28/2
w = 24/2
w = 12
Since l = w+4
l = 12+4
l = 16
Area of the rectangle = 16 * 12
Area of the rectangle = 192cm²
Answer:
rytytyf
Step-by-step explanation:
yiyiuyiuy
which lines must be parallel?
A)r and s
B)p and q
C)p and r
D)q and s
Answer:
It may be R and S yet or not
i’ll give u brainliest!!
what are the areas for shape 1,2 and 3
Answer:
I think it is
1: 22.37
2:16.81
3:83.16
Step-by-step explanation:
Answer:
Shape 1: 22.365
Shape 2: 16.81
Shape 3: 83.16
Step-by-step explanation:
I'm going to start with 2, because its the easiest shape to do, which is 4.1*4.1= 16.81. Next is 3, which you find the length by adding 4.1 to 9.1 = 13.2. You then multiply 13.2 by 6.3 = 83.16. Finally for shape 1, you first find the bottom shape, which you do by dividing 6.3 by 2 so you can get the width of half the triangle. That is 3.15. then you multiply that by 7.1 to get the area of 22.365.