Study the Proof Given.
List the reasons for Items 2,3, & 4.
Right the number and then the answer.
Question 1 options:
Answers
3. Given
4. Transitive property
Related Questions
9. Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. Apples cost $0.24 each and oranges cost $0.80 each. She has $12 to spend and would like to purchase at least 20 pieces of fruit total.
a) Write a system of linear inequalities to represent
this situation, then graph.
b) Using your graph, give two possible combinations
of apples and oranges Darcy can buy.
Answers
For the first given, we know that each apple costs $0.24 and each orange costs $0.8, therefore:
amount paid for apples = 0.24x and amount paid for oranges = 0.8y
we also know that the total amount spent is $12, therefore the first equation is as follows:
0.24x + 0.8y = 12
For the second given, we know that the total number of fruit bought is 20, therefore, the second equation is:
x + y = 20
You can easily graph these two functions and find a possible combination from the graph (the correct combination would be the intersection between the two lines).
One car rental company charges $30 per day plus $0.25 per mile driven. a car company charges $40 per day plus $0.10 per mile driven. how many miles must you drive for a one-day rental at the second company to be less expensive than the same rental at the first company? write an inequality to solve.
Answers
let's say x is the miles you drive for a day
the first company's rental charge= $30+$0.25x
the second company's rental charge= $40+$0.10x
Calculate what the x is when two equations are equal to each other:
$30+$0.25x=$40+$0.10x
$0.25x-$0.10x=$40-$30
$0.15x=$10
x=$10/$0.15
x=66.667 miles
at least 66.667 miles. I am not sure though. I'm a little bit tired today, so you might want to check it yourself.
Answer:
66.667 miles
Step-by-step explanation:
Given: One car rental company charges $30 per day plus $0.25 per mile driven.
Second car company charges $40 per day plus $0.10 per mile driven.
To find: how many miles must you drive for a one-day rental at the second company to be less expensive than the same rental at the first company?
Solution: Let the distance driven on a day be x miles.
As per question,
The first rental company will charge [tex]=30+0.25x[/tex]
The second rental company will charge [tex]=40+0.10x[/tex]
Now, we want the rental charges of second company to be less expensive then the first.
So we get the inequality,
[tex]30+0.25x>40+0.10x[/tex]
[tex]0.25x-0.10x>40-30[/tex]
[tex]0.15x>10[/tex]
[tex]x>\frac{1000}{15}[/tex]
[tex]x>66.667[/tex] miles
Hence, at least 66.667 miles should be driven on a day.
Oranges are on sale for $1.59 per pound. Write a funtion as a standard equation and in a funtion notation.
Answers
f(x) = 1.59x
Two angles that are complementary __________ form a right angle. 2. angles with a common side and a common vertex ______ form a linear pair. 3. two angles that are supplementary are _______ complementary.
Answers
BRAINLIESTTTTTTTT!!!!!!!!!!!!!!!!!!
Answers
For x = 21, f(x) = 105.
To find the average rate of change, subtract 105 - 95.
Then subtract 21 - 11.
Then divide the first difference by the second difference.
Given the midpoint and one of the endpoints,find the other endpoint of the segment
Answers
(6,8).....x1 = 6 and y1 = 8
(x,y) x2 = x and y2 = y
now we sub
(6 + x)/2 , (8 + y)/2 = 3/2
(6 + x) / 2 = 3
6 + x = 3 * 2
6 + x = 6
x = 6 - 6
x = 0
(8 + y) / 2 = 2
8 + y = 2 * 2
8 + y = 4
y = 4 - 8
y = -4
so ur other endpoint is (0,-4) <==
======================
the others u can do the same way....but I am gonna skip a few steps on the rest of them
m (-3,7) , endpoint (0,2)
(0 + x)/2 = -3.......x = -6
(2 + x) / 2 = 7......y = 12
other endpoint is (-6,12) <==
================
m (-2,4), endpoint (5,-5)
(5 + x) / 2 = -2.....x = -9
(-5 + y) / 2 = 4....y = 13
other endpoint is (-9,13) <==
===============
m (0,0), endpoint (-2,2)
(-2 + x)/2 = 0.....x = 2
(2 + y) / 2 = 0....y = -2
other endpoint is (2,-2) <==
Sonia has three bracelets. she wears them all at the same time but if a different order each day. how many different combinations does sonia have to choose from
Answers
3! = 3 * 2 * 1 = 6
So, she can wear them in a total of 6 combos.
Solve 5c + 4 = −26.
6
−6
−4.4
3
Answers
Answer:
-6 :))))))))))))))))))
Step-by-step explanation:
Given the functions f(x) = 2x2 - 8x, g(x) = x2 - 6x + 1, and h(x) = -2x2, rank them from least to greatest based on their axis of symmetry. (2 points)
g(x), f(x), h(x)
f(x), g(x), h(x)
h(x), f(x), g(x)
h(x), g(x), f(x)
Answers
for f(x) its x = 2
and for g(x) its x = 3
so its
option 3
Answer:
h(x), f(x) , g(x)
Step-by-step explanation:
[tex]f(x) = 2x^2 - 8x[/tex]
Axis of symmetry at [tex]x=\frac{-b}{2a}[/tex], a=2, b=-8
[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-(-8)}{2(2)}=2[/tex]
[tex]g(x) = x^2 - 6x + 1[/tex], a= 1, b=-6
[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-(-6)}{2(1)}=3[/tex]
[tex]h(x) = -2x^2[/tex], a=-2, b=0
[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-(0)}{2(-2)}=0[/tex]
Now rank the function based on their axis of symmetry
h(x), f(x) , g(x)
he coordinates of the vertices of a polygon are (−2,−2), (3,−3), (4,−6), (1,−6), and (−2,−4).
What is the perimeter of the polygon to the nearest tenth of a unit?
Answers
Answer:
16.9
Step-by-step explanation:
The distance formula can be used to find the lengths of individual segments. It tells you ...
d = √((Δx)² +(Δy)²)
where Δx and Δy are the differences between x- and y-coordinates of the segment end points.
Since the value is squared, the sign of the difference doesn't matter. It can be easier to write it as always positive, so in some cases it may be Δx = x₂-x₁ and in other cases it might be Δx = x₁-x₂, for example.
If the segments are labeled A, B, C, D, E in order, the distances are ...
AB = √(5²+1²) = √26 ≈ 5.099
BC = √(1²+3²) = √10 ≈ 3.162
CD = Δx = 3
DE = √(3²+2²) = √13 ≈ 3.606
EA = Δy = 2
Then the perimeter is ...
P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867
P ≈ 16.9
Help please pre calculus
Answers
put 7.6*10^-1 into the equation to get:
10log(1/7.6*10^-4) = 31.19
What is the distance between points A and B?
___ units
Answers
we know that
the distance's formula between two points is equal to
[tex]d=\left|xB-xA\right|[/tex]
substitute
[tex]d=\left|1-(-5)\right|[/tex]
[tex]d=6\ units[/tex]
therefore
the answer is
[tex]6\ units[/tex]
The distance between two point [tex]A{\text{ and }}B[/tex] is [tex]\boxed{{\mathbf{6 units}}}[/tex].
Further explanation:
The distance between two points is the modulus of difference of the given two points.
The distance between two points can be found by the distance formula as,
[tex]\left| {B - A} \right|[/tex]
Here, [tex]A{\text{ and }}B[/tex] are the points on the number line.
The distance cannot be negative therefore modulus is applied in the formula.
Step by step explanation:
Step 1:
First we determine the points from the given number line.
It can be observed from the given number line that there are two points one is on the left side of the origin and the second is right side of the origin.
The point [tex]A[/tex] is [tex]- 5[/tex] and the point [tex]B[/tex] is 1.
Step 2:
Now use the distance formula to obtain the distance between the two points [tex]A{\text{ and }}B[/tex].
Here, the value of A is [tex]-5[/tex] and B is 1.
Substitute the value of [tex]A{\text{ and }}B[/tex] to obtain the distance as,
[tex]\begin{aligned}d&= \left| {B - A} \right| \\&= \left| {1 - \left( { - 5} \right)} \right|\\&= 6{\text{ units}}\\\end{aligned}[/tex]
Therefore, the distance between two point [tex]A{\text{ and }}B[/tex] is [tex]6{\text{ units}}[/tex].
Learn more:
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Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Number line
Keywords: Integers, distance, point, number line, units, measurement, origin, negative numbers, positive numbers, right side, left side, difference.
Miguel is going for a walk. he takes 3 hours to walk 7.5 miles. what is his speed?
Answers
We want to know how many miles he can walk in 1 hour so, divide both sides by 3 -> 1 hour / 2.5 miles
He is walking at 2.5 mph
divide total distance by time
7.5 miles / 3 hours = 2.5 miles per hour is his speed
Roger can run one mile in 10 minutes. jeff can run one mile in 8 minutes. if jeff gives roger a 1 minute head start, how long will it take before jeff catches up to roger? how far will each have run?
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Given a = {1, 2, 3, 4, 5, 6, 7, 8, 9} and b = {2, 4, 6, 8} what is AUB?
exTrA cREdiT BOnuS pOiNTS
Answers
It is a set that contains every element of set A and every element of set B.
Write a set that has all the numbers in both sets A and B. Be sure to write each number only once even if the number appears in both sets A and B.
The scale on a map indicates that 1 inch corresponds to an actual distance of 95 miles. two cities are 4.5 inches apart on the map. what is the actual distance between the two cities?
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Factoring quadratic trinomials in the form (ax 2 + bx +
c. where a = ≠ 1
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1. Try to factor a common factor from all terms.
2. Multiply ac.
3. Find two factors of ac that add to b, call them p and q.
4. Rewrite the trinomial with the bx term broken up into into px + qx.
5. Factor by grouping.
Bryan used the six steps to solve this problem. On one of the steps, he decided that he would use multiplication and addition to compare the companies and find the best rate. Which step did Bryan use to help him decide?
Answers
A bag contains 8 blue marbles, 5 green marbles and 7 red marbles. If Alicia removes two marbles without replacing them, what is the probability that he will choose red, then green?
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To find the probability of choosing a red marble, then a green marble without replacement, multiply the probabilities of the individual events which is 7/76.
Explanation:To find the probability that Alicia will choose red, then green marbles, we need to calculate the probability of drawing a red marble and then a green marble without replacement.
Given that there are 8 blue marbles, 5 green marbles, and 7 red marbles in the bag, the probability of drawing a red marble first is 7/20.
After removing the red marble, there are 19 marbles left in the bag, including 5 green marbles. Therefore, the probability of drawing a green marble second is 5/19.
To find the combined probability, we multiply the probabilities of the individual events:
P(Red, then Green) = P(Red) * P(Green | Red) = (7/20) * (5/19) = 35/380 = 7/76.
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Harry and his friends share some watermelon equally. Each person gets of a watermelon. Which of the following shows a possible way that the watermelon is served?
2 watermelons divided among 7 people.
7 watermelons divided among 2 people.
of a watermelon divided among 2 people.
of a watermelon divided among 7 people.
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The distance on a map is 4 1/8 inches. find the actual distance if the scale on the map is 20 inches= 40 miles.
Answers
33/8 inches = 33/4 miles
4 1/8 inch = 8 1/4 miles
The actual distance is 8 1/4 miles
In Indianapolis, the Market Tower has 2/3 as many stories as the Chase Tower. If the Market Tower has 32 stories, how many stories does the Chase Tower have?
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1. Factor the expression 3x^3 + 4x^2 - 15x - 20 Please show work!
Answers
Factor 3x^3 + 4x^2 and -15x - 20 seperately
x^2 (3x + 4) - 5(3x + 4)
(x^2 - 5)(3x + 4) is your answer
hope this helps
The expression 3x^3 + 4x^2 - 15x - 20 can be factored into the form (3x + 4)(x^2 - 5) by grouping terms, factoring out common components, and simplifying.
Explanation:The provided expression to be factored is [tex]3x^3 + 4x^2 - 15x - 20.[/tex]Factoring this involves finding common factors and breaking the terms down until we cannot do so any further.
Group terms that look like they might have common factors: [tex](3x^3 + 4x^2) - (15x + 20).[/tex]Factor out the common factors: [tex]x^2(3x + 4) - 5(3x + 4).[/tex]Notice that we have the binomial of (3x + 4) common between both terms. We can now factor that out: [tex](3x + 4)(x^2 - 5).[/tex]
So, the factored form of the expression is [tex](3x + 4)(x^2 - 5).[/tex]
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Deon caught a 4 3/4 pound fish how much it weigh in ounces
Answers
16 ounces in a pound
16*4 3/4=76
4.75 lbs · (16oz/1lb) [lbs cancel out and you're left with oz]
76 oz of fish = 4 3/4 lbs of fish
Use synthetic division to evaluate the function at the indicated values
h(x)=x^6-4x^4+5x^2+1
h(2)
h(-1)
please show your work
Answers
Final answer:
[tex]\[ h(2) = 55, \quad h(-1) = 3 \][/tex]
Explanation:
To evaluate [tex]\(h(x)\)[/tex] at the given values using synthetic division, we start with the coefficients of the polynomial [tex]\(x^6 - 4x^4 + 5x^2 + 1\).[/tex]
1. For [tex]\(h(2)\):[/tex]
- Write down the coefficients: 1, 0, -4, 0, 5, 0, 1.
- Using synthetic division with 2 as the divisor, perform the operations to obtain the result 55.
2. For [tex]\(h(-1)\):[/tex]
- Repeat the process with -1 as the divisor, using the coefficients: 1, 0, -4, 0, 5, 0, 1.
- After the calculations, the result is 3.
In both cases, the final values represent the result of evaluating the function [tex]\(h(x)\)[/tex] at x = 2 and [tex]\(x = -1\)[/tex] respectively.
Which function represents the graph of f(s)=-4[x] after it is translated 3 units down?
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Simplify the expression 111,000 × 0.072 using scientific notation and express your answer in scientific notation.
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Final answer:
The simplified expression is 7.992 × 10³.
Explanation:
To simplify the expression 111,000 × 0.072 using scientific notation, follow these steps:
Express 111,000 in scientific notation: 1.11 × 10⁵Express 0.072 in scientific notation: 7.2 × 10⁻²Multiply the two numbers: (1.11 × 10⁵) × (7.2 × 10⁻²)First, multiply the decimal parts: 1.11 × 7.2 = 7.992Next, add the exponents for the powers of 10: 5 + (-2) = 3Combine the results: 7.992 × 10³Finally, if necessary, adjust the number to have only one non-zero digit to the left of the decimal point: 7.992 × 10³ is already in correct form.The expression simplified in scientific notation is 7.992 × 10³.
On an algebra test , the highest grade was 42 points higher than the lowest grade . The sum of the two grades was 138 . Find the lowest grade .
Answers
x + x + 42 = 138
2x + 42 = 138
-42 -42
2x =96
/2 /2
x = 48
48 was the lowest grade
The lowest grade is 48.
What is substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation.
Let the lowest grade be x and highest grade be y.
According to the given question.
[tex]y = 42 + x[/tex]
Also,
[tex]x + y= 138[/tex]
For finding the points of lowest grade and highest grade substitute
y = 42 + x in x + y = 38.
[tex]x + ( 42 + x ) = 138[/tex]
⇒ [tex]2x + 42 = 138[/tex]
⇒ [tex]x + 21 = 69[/tex]
⇒[tex]x = 69 -21[/tex]
⇒[tex]x = 48[/tex]
Therefore,
[tex]y = 48 + 42 =90[/tex]
Hence, the lowest grade is 48.
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what is 2 1/2x−3/4(2x+5)=3/8
Answers
We can use the distributive property to simplify -3/4 (2x + 5). Then, it is just a matter of solving for x, which can be done by combining like terms and dividing. After doing so, we get x = -33/4. Hope this helps and have a great day!
Braic equation. two airplanes leave chicago at the same time and fly in opposite directions. if one travels at 490 miles per hour and the other at 470 miles per hour, how long will it take for them to be 4,800 miles apart