Answer:
for any point (x, y), that appears in one function, the point (y, x) must appear in the other function. for any point (x, y), that doesn't appear in one function, the point (y, x) must not appear in the other function.
so if you find any point that doesn't meet the above rules, you can prove that the functions are not inverses of each other.
to prove that they are inverses of each other, you need to check all points in the functions, and there is an infinity of them, so instead, you can write f(x) like this:
y = 3x - 5
solve for x:
y + 5 = 3x
x = (y + 5) / 3
swap x and y:
y = (x + 5) / 3
this is the same as g(x) which, therefore the functions are inverse of each other.
Mary bought 10 quarts of juice at the grocery. How many gallons of juice did she buy? A. 1.4 gal B. 2.5 gal C. 3.5 gal D. 4.5 gal
Answer:
2.5 gallons (B)
Step-by-step explanation:
1 gallon is equal to 4 quarts. So, if Mary bought 10 quarts, that is 10/4 gallons. Simplified, 10/4=5/2=2.5 gallons.
can someone explain how to do this please
Answer:
2/5 [tex]cm^2[/tex]
Step-by-step explanation:
To find the area of a rectangle do A = bh
When you substitute 4/6 for base and 3/5 for height it will be A = 4/6 x 3/5
This means the area is 2/5
Answer:
2/5 cm^2
Step-by-step explanation:
The area of a rectangle is found by
A = l*w
A = 4/6 * 3/5
Rewriting
=4/5 * 3/6
= 4/5 *1/2
= 2/5 cm^2
Jill has two dimes she is going to use to perform a probability experiment. What is the theoretical probability that at least one of the two coins will turn up
heads?
75%
50%
Answer:
50%
Step-by-step explanation:
its a 50/50 chance on it landing either heads or tails
Plz help I’ll mark brainliest
Answer:
Step-by-step explanation:
Using Pythagoras Theorem, hypotenuse = 5
[tex]h = \sqrt{a^{2}+ b^{2}[/tex]
[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]
sin x = height / hypotenuse = 3 / 5
cos y = base / hypotenuse = 3 / 5
sin x = cos y = 3 / 5
Use a number line to approximate the value of :
Answer:
9 < [tex]\sqrt{88}[/tex] < 10
Step-by-step explanation:
[tex]\sqrt{88}[/tex] = 9.38083152
Answer:
Third option
Step-by-step explanation:
Notice that √88 is close to √81 wich is 9.
● √88 is greater than √81 so it is greater than 9.
● √88 is less than √100 wich is 10
● so √88 is between 9 and 10
PLEASE HELP!!! WILL GIVE BRAINLIEST AND 20 POINTS!!!
Triangles △DEF and △ABC are congruent. Which of the following sequences of transformations maps △DEF onto △ABC? ___________________________________________________________Sequence A --> A translation along the directed line segment DB, then a 90° rotation about point B.
Sequence B --> A 90° rotation about point F, then a translation along the directed line segment FC. ___________________________________________________________ a) Only sequence A
b) Only sequence B
c) Both
d) Neither
**note: picture attached below.**
The answer is D because then triangles DEF and ABC would map onto one another
What is a Triangle?
Triangle is a plane figure with three straight sides and three angles.
How to determine?The answer is D because then triangles DEF and ABC would map onto one another.
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Find the greatest possible value for a+b+c+d if b is a positive integer and a,b,c,d satisfy the system of equations
a+b=c
b+c=d
c+d=a
Answer:
[tex]a+b+c+d = -5\cdot b[/tex]
Step-by-step explanation:
The given system of equations is now reduced:
1) [tex]a+b = c[/tex], [tex]b+c = d[/tex], [tex]c+d=a[/tex], [tex]b > 0[/tex] Given
2) [tex]a = c+d[/tex] By 1)
3) [tex](c+d)+b=c[/tex] 2) in 1)
4) [tex]d = b + c[/tex] By 1)
5) [tex][c+(b+c)]+b = c[/tex] 4) in 3)
6) [tex]2\cdot b + 2\cdot c = c[/tex] Algebra
7) [tex]c = -2\cdot b[/tex] Algebra
8) [tex]d = -b[/tex] 7) in 4)/Algebra
9) [tex]a = -3\cdot b[/tex] 7) and 8) in 2)/Algebra
10) [tex]a+b+c+d = -5\cdot b[/tex] 9), 1), 7) and 8)/Algebra/Result
Sheila was given $20.00 for her birthday and spent $14.79 on a CD. How much was her change?
Answer:
$5.21
Step-by-step explanation:
20.00 - 14.79 = 5.21
Answer:
5 dollars and 21 cents or $5.21
Step-by-step explanation:
20.00 - 14.79 = 5.21
WILL GIVE BRAINLY!!!! describe the types of correlation between two variables on a graph
Negative Correlation - These variables point towards the left making them negative.
Positive Correlation - These variables point towards the right making them positive.
No Correlation - These variables have the same x coordinates or same y coordinates.
Hope that helped!!! k
Find the value of m∠ACD. A. 30º B. 15º C. 60º D. 90º
Answer:
A. 30 degrees
Step-by-step explanation:
Set the two angles equal to each other:
3x-15 = 45-x
Solve for x:
4x -15 = 45
4x = 60
x = 15
Finally, plug in the x to one of the equations (preferably 45 - x since it's easier to solve) and solve for x.
45 - 15 = 30
Answer:
A 30 degrees
Step-by-step explanation:
Below, create a post, and in 3-5 complete sentences, explain how you would use a number line to solve the problem (-6) + 15.
Answer:
ok
Step-by-step explanation:
First you would put a circle on -6. Next you would count 15 spot away from the -6. Lastly you would mark the answer
can somewon plz help me
Answer:
1253 in^3
Step-by-step explanation:
The volume of the smaller container is (7 in)(5 in)(5 in) = 175 in^3.
The volume of the larger one is (11 in)(14 in)(7 in) = 1078 in^3
The total volume is the sum of these two volumes: 1253 in^3
Answer:
1253 in^3
Step-by-step explanation:
Volume of small one is 7*5*5 = 175
Volume of the large one is 11*14*7 = 1078
To find the total volume we add them up. We get 1253 and since we are talking about volume it is 1253 inches cubed
08.01) Which of the following statements shows a characteristic of a statistical question? (4 points) Select one: a. The question is focused. b. The distribution can be broken into categories. c. The question asks for a quantitative response. d. The question allows for surveys to be conducted
Answer:
the distribution can be broken into categories
Statement c shows a characteristic of a statistical question.
What is statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
So, based on the definition of statistics we can say.
1)Statistical data can be analysed.
2)Statistical data can be used to interpret many things.
3)Statistical data can forecast the results.
Out of the given statements, only statement c falls under the category of statistical statement.
Hence, statement c shows a characteristic of a statistical question.
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A regular octagon is inscribed in a circle with a radius of 10 cm. What is the length of one side of the octagon?
Answer:
The length of one side of the octagon is 7.65 cm
Step-by-step explanation:
The parameters given are;
A regular octagon inscribed in a circle of radius, r, of 10 cm.
The length of each side is found from the isosceles triangle formed by the radius and one side of the octagon
The sum of interior angles in a polygon, ∑θ[tex]_i[/tex] = 180 × (n - 2)
Where;
n = The number of sides of the polygon
θ[tex]_i[/tex] = The interior angle of the polygon
For the octagon, we have;
n = 8, therefore;
∑θ[tex]_i[/tex] = 180 × (8 - 2) = 1080
Given that there are eight equal angles in a regular octagon, we have;
∑θ[tex]_i[/tex] = 8 × θ[tex]_i[/tex] = 1080
θ[tex]_i[/tex] = 1080/8 = 135°
The sum of angles at the center of the circle = 360
Therefore, the angle at the center (tip angle) of the isosceles triangle formed by the radius and one side of the octagon = 360/8 = 45°
The base angles of the isosceles triangle is therefore, (180 - 45)/2 = 67.5° = θ[tex]_i[/tex]/2
The length of the base of the isosceles triangle formed by the radius and one side of the octagon = The length of one side of the octagon
From trigonometric ratios, the length of the base of the isosceles triangle is therefore;
2 × r × cos(θ[tex]_i[/tex]/2) = 2×10 × cos(67.5°) = 7.65 cm
The length of the base of the isosceles triangle = 7.65 cm = The length of one side of the octagon.
the graph of y=f(x) is shown below. find all the values of x where f(x)=1
When you substitute the value of x = 3, you get f(x) = 1.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.
Here the given graph of y = f(x) is shown.
When you substitute the value of x = 3, you get f(x) = 1.
Hence, you can get f(x) = 1 by substituting the value of x = 3
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Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage. A. none of these B. exponential C. quadratic D. linear
Answer:
The correct option is;
C. Quadratic
Step-by-step explanation:
The given information are;
The quantity of corn Farmer Joe has to sell = 1,000 bushels
The present market price for corn = $5.00 a bushel
The amount by which he expects the market price to rise per week =$0.15
The number of bushels lost to spoilage per week = 10
Therefore, we have;
The value of the corn = Amount of corn left × Price of corn
The price of the corn per bushel with time = 5 + 0.15×t
The amount of corn left = 1000 - 10×t
Where;
t = Time in minutes
Therefore, the total value of corn = (1000 - 10×t)×(5 + 0.15×t) = -1.5·t²+100·t+5000 which is a quadratic model.
Therefore, the correct option is a quadratic model.
Use the table shown in the image! 1. Which equation expresses “y” in terms of “x”? A. y=17x B. y=25x C. x=51y D. x=85y 2. What is the charge for renting a machine for 3.5 hours? A. $51.50 B. $59.50 C. $65.50 D. $86.50
Please include all work!
Answer: 1. A. y=17x
2. $59.50
Step-by-step explanation:
1. In the table , it can be seen that as x increases y increases with the proportionality constant k = [tex]\dfrac{y}{x}=\dfrac{51}{3}=\dfrac{85}{5}=\dfrac{119}{7}=17[/tex],.
Equation of direct variation between x and y : [tex]y=kx[/tex]
Put k= 17 , we get
[tex]y=17x[/tex] , which is the required equation.
So correct option is "A".
2. To find : The charge for renting a machine for 3.5 hours.
Put x= 3.5 in above equation , we get
[tex]y=17(3.5)=59.5[/tex]
Hence, the charge for renting a machine for 3.5 hours is $59.50.
So correct option is "B".
Find the probability of rolling a die and
getting a 6. Write your answer as a
fraction.
Answer:
1/6
Step-by-step explanation:
there are 6 sides/numbers on a die. 1 roll with a possibility of 6 outcomes.
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Because there are six possibilities and only one of those possibilities will yield a six, we can find the probability to be [tex]\frac{1}{6}[/tex]
Find the percent of change if the original price is $246.95 and the new price is $199.95. Round to nearest tenth of a percent if necessary. Show your work and state whether this is an increase or decrease.
Answer:
Percentage change = 19%Step-by-step explanation:
Since the new price is lesser than the original price the percentage change will be a decrease.
To find the percentage change use the formula
[tex]Percentage \: \: change = \frac{change}{original \: \: quantity} \times 100[/tex]
To find the change subtract the new price from the original price
new price = $199.95
original price = $246.95
Change = $246.95 - $ 199.95 = $47
[tex]Percentage \: \: change = \frac{47}{246.95} \times 100[/tex]
Percentage change = 19%Hope this helps you
please help me with this questions. Will Mark brainliest.
Answer: 355
And 33 eggs
Step-by-step explanation:
8 × 40 = 320
7/8 × 40= 35 Add 35+320 = 355
2 × 12= 24 3/4 of 12 = 9
Add 9+24=33
You can also make an improper fraction. Multiply the denominator by the whole number then add the numerator.
2 3/4 becomes 4×2=8
8+3=11 Divide the other factor by the denominator: 12÷4=3
Then multiply by the "improper" numerator 3×11=33
8 7/8 becomes 71/8
40/8=5
5×71=355
Answer:
355
Step-by-step explanation:
So, you first multiply 8 with 8 = 64
Then 64 + 7 = 71
So, 71 is the numerator and 8 stays the denominator.
Now you have 71/8 *40.
You "cut" 40 into five and 8 into 1, Because 40 divided by 8 is 5, so 40 becomes 5 and 8 becomes 1.
Now we have 71 * 5 = 355
hope it helps!
PLEASE brainliest me!
If dn = ‾‾√24, what value of n makes this equation true?
Answer:
1/24
Step-by-step explanation:
Answer:
1/24 makes this equation true
If you're good at angles of elevation pls help meeee
Adam notices that the angle of elevation to the top of a building is 22 degrees. He walks 120m towards the building and the angle of elevation is now 28 degrees. How tall is the building?
Answer:
202m
Step-by-step explanation:
Please see attached picture for full solution.
Let x meters be the height of the building.
Find the hypotenuse and the shorter leg of a30°−60°−90° triangle, if the longer leg is 9 in.
Answer:
Since it's a 30-60-90 triangle, the hypotenuse should be
6 √ 3
and the short leg is
3 √ 3
Step-by-step explanation:
Ratio:
Short side: 1
Hypotenuse: 2
Long Side: √ 3
What will I get for this 16 + x = 12
Answer:
x = -4
Step-by-step explanation:
16 + x = 12
16 - 16 + x = 12 - 16
x = -4
A teacher took a group of 48 students to the movie theater. They have saved $353 in a fund for the students' tickets. How much money will they have left in the fund if the ticket for each student was $7
Answer:
$17
Step-by-step explanation:
If each ticket is $7 and there are 48 student multiply 7 and 48 to see how much the tickets were in total (336)
Now subtract 353 and 336 to see how much money is left (17)
Answer: -17?
Step-by-step explanation:
because 7*48= 336
then you would do 336-353= -17
which gave me the answer of -17
Hi. Please i need help with this question.
Find the operation used in determining each of the values in the diagram.
Workings Please.
Answer:
3*3+1=10
4*4+5=21
Step-by-step explanation:
You square the number in the first box
3*3=9
4*4=16
And add the number in the second box with the result.
3*3=9+1=10
4*4=16+5=21
Hope this helps ;) ❤❤❤
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
We must square the number on the left box, then add with the number in the right box to get the result in the boxes below.
3² + 1 = 9 + 1 = 10
4² + 5 = 16 + 5 = 21
Find the radius, diameter, circumference and the approximate area for the circle in the image attached. To find the approximate area, please use 3.14 for π. SHOW WORK!
Answer:
The radius is already given, which is 6 in.
Diameter is equal to 2 times the radius (2x6), which is 12 in.
Finally, circumference is equal to 3.14 times the diameter, which is 37.68 in.
Let me know if this helps!
6.28 * 6 : 37.68
note:
radius is the length of half the circle. and diameter is always double the radius.
Someone pls help me . Thank you sm
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▹ Answer
X = 24
m = 13/7 or about 1.86
▹ Step-by-Step Explanation
X/3 + 7 = 15
X + 3 * 7/3 = 15
X + 21/3 = 15
X = 24
3.5m - 1.5 = 5
35/10m - 15/10 = 5
5 * 7/2 * 5m - 3 * 5/2 * 5 = 5
m = 13/7 or about 1.86
Hope this helps!
CloutAnswers ❁
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the formula for a trapezoid is A= 1/2h(b1+b2) which equations are equivalent to the formula
Answer:
A=[tex]\frac{a+b}{2} (h)[/tex]
Step-by-step explanation:
Option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
The options are:
h=2A/(b1+b2)b1=2A/h - b2b2= 2A/b1 - hb2= 2A/h - b1b1= 2A//b2 - hWe have a formula for finding the area of the trapezoid:
[tex]\rm A= \dfrac{1}{2}h(b_1+b_2)[/tex]
Make a subject h and solve for h:
[tex]\rm \dfrac{2A}{(b_1+b_2)}= h[/tex]
or
[tex]\rm h = \dfrac{2A}{(b_1+b_2)}[/tex]
[tex]\rm b_2 = \dfrac{2A}{h}- b_1[/tex]
[tex]\rm b_1 = \dfrac{2A}{h}- b_2[/tex]
Thus, option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.
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help me plz can somewon help me i am bad at math mostly
Answer:
Definitely the bottom left
Step-by-step explanation: