Answer:
y = -7x+3
Step-by-step explanation:
We can write the function as
y = (3-x) / 7
To find the inverse of this function we have to do 2 things
a. change x with y and y with x and
b. find the y
a. y = (3-x) / 7, change x with y and y with x
x = (3-y) / 7, multiply both sides by 7
b. 7x = 3-y, subtract 3 from both sides
7x-3 = -y, multiply both sides by -1
-7x+3 = y
The inverse function of
f(x) = (3-x)/7 is [tex]f^{-1} (x) = -7x + 3[/tex]
Suppose you roll a number cube. What is the probability that you roll the number 5?
Answer:
There is 1/6 chance that you will roll a 5
Step-by-step explanation:
Hope that helps!
Solve and check 5x-12=3x+24 (I’m so lost)
In this equation x=18
Work Shown:
5x-12=3x+24
Add 12 to both sides
5x-12+12=3x+24+12
Simplify
5x=3x+36
Subtract 3x from both sides
5x-3x=3x+36-3x
Simplify
2x=36
Divide both sides by two
2x/2 = 36/2
Simplify
x=18
Answer:
x=18
Step-by-step explanation:
1. Add 12 to both sides
5x-12 +12 = 3x+24 +12
2. Simplify
5x=3x+36
3. Subtract -3x from both sides
5x-3x=3x+36-3x
4. Simplify
2x=36
5. Divide both sides by same factor (2)
2x/2=36/2
6. Simplify
ANSWER: x=18
Which figure is the image of Q?
Select the three equations that are equivalent to the equation 3x−4=5.
1. 3x = 9
2. 3x - 4 + 4 = 5 + 4
3. x = 9
4. x - 4 = 2
5. -4 = 5 - 3x
Hey there!
Solving
3x - 4 = 5
Add 4 to both sides
3x - 4 + 4 = 5 + 4
3x = 9
x = 9/3
x = 3
Equivalent expressions are:
1. 3x = 9
2. 3x - 4 + 4 = 5 + 4
3. 4 = 5 - 3x
If you're confused about the last one
Solving
−4=5−3x
Step 1: Simplify both sides of the equation.
−4=5−3x
−4=5+−3x
−4=−3x+5
Step 2: Flip the equation.
−3x+5=−4
Step 3: Subtract 5 from both sides.
−3x+5−5=−4−5
−3x=−9
Step 4: Divide both sides by -3.
−3x/−3 = −9/−3
x=3 (Still the same answer)
Round to nearest tenth and solve for x
Answer:
[tex]\displaystyle 9,6[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{6,4} = csc\:42 \hookrightarrow 6,4cot\:42 = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]
OR
[tex]\displaystyle \frac{6,4}{x} = sin\:42 \hookrightarrow xsin\:42 = 6,4 \hookrightarrow \frac{6,4}{sin\:42} = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Keisha received a $90 gift card for a coffee store. She used it in buying some coffee that costs $8.47 per pound. After buying the coffee, she had $47.65 left on her card. How many pounds of coffee did she buy?
Answer: 4
Step-by-step explanation:
It sounds like you want to know how many pounds of coffee Latoya bought. First, let's figure out how much she spent. Subtract the amount she has left from the amount she started out with:
90 - 57.68 = 32.32
Latoya spent $32.32 on coffee. Since it cost $8.08 per pound, we can divide the total cost by 8.08 to figure out how many pounds she bought:
32.32/8.08 = 4
Find the decimal approximations for these give your answers to 1 decimal place.
a)square root of 3
b)square root of 21
c)square root of 62
Answer:
A) 1.7
B) 4.5
C) 7.8
Question
Find the perimeter of the figure to the nearest hundredth.
Answer:
50.29in
Step-by-step instructions:
First find the semi-circular part:- 1/2×2πr
=1/2×2×22/7×9
=28.29
Find whole perimeter:- 28.29+5+5+12 = 50.29 in
8 x 2/3 = 16/24 = 2/3 Identify and explain the error
Answer:
8. = 0.1x = -0.12. 8yz. 88. D. – 1.2. = y 2 3
Step-by-step explanation:
Lily sells loose tea for $0. 71 per gram. If one gram is equivalent to 0. 035273 ounces, how much does it cost to buy 0. 45 pounds of Lily’s tea? a. $108. 70 b. $144. 93 c. $536. 77 d. $715. 69.
Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,
Pounds to Ounces
[tex]\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces[/tex]
Grams to Ounces
[tex]\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams[/tex]
Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,
[tex]\rm Total\ cost= 204.12 \times \$0.71 = \$144.93[/tex]
Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.
Learn more about Units conversion:
https://brainly.com/question/4736731
Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the
equation Vh= 500(1.025), where Vh is the value of the account after t years. Andres begins a savings account three
years later with the same initial amount of money at the same interest rate. Which equations represent the value of
Andres's account after t years?
A.
B.
C.
D.
Answer:
it’s B
Step-by-step explanation:
Answer: The answer to the question is option A
Step-by-step explanation:
Drag each tile to the correct box.
The given steps for constructing a line tangent to circle O that is tangent to the circle at point P on the circle are listed out of order. Arrange the steps in the correct sequence.
A. Without changing the compass width, place the compass on R and make another arc, intersecting the first, and label the intersection S.
B. Draw a line through P and S.
C. With the compass on P, draw an arc on each side of P. Label the intersections Q and R.
D. Draw a straight line from the center, O, through P and extending past P.
E. With the compass on Q, set its width to a setting greater than. Make an arc outside the circle
Answer:
D, C, E, A, B
Step-by-step explanation:
This is essentially the construction of a perpendicular bisector.
D. Draw a straight line from the center, O, through P and extending past P
C. With the compass on P, draw an arc on each side of P. Label the intersections Q and R.
E. With the compass on Q, set its width to a setting greater than. Make an arc outside the circle
A. Without changing the compass width, place the compass on R and make another arc, intersecting the first, and label the intersection S
B. Draw a line through P and S.
How to find arc in math?Arc length is the distance between 2 points in the arc of a circle. The arc of the circle could be calculated by using the following formula: Arc: Length = Θ x r
What does arc mean?
In general, the arc is a portion of the curve. In mathematics, unless otherwise begain, then arc usually refers to the portion of the circle. Types of arcs. A chord, or the central angle and an inscribed angle may divide the circle into 2 arcs.
Learn more about arc here https://brainly.com/question/27673190
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Please help! 1/2 (18 + 14) - (18 - 14)^2
Answer:
the answer should be -185
Answer:
0
Step-by-step explanation:
1/2 (18 + 14)- (18 - 14)^2
=1/2 (32) - 4^2
=16 - 16
=0
Please help with this question
Answer:
160°
Step-by-step explanation:
Minor Arc NR is equal to the measure of its central angle, S.
S and 20 are supplementary angles, so they add up to 180.
So, s +20 =180
S = 160, so NR = 160 as well
Can someone please help
Answer:
B
Step-by-step explanation:
-4+4=0
If the temperature starts at -4 four and increases by 4, the temperature will be 0.
asey wants to buy some instruments for his niece and nephew. He has $40 to spend. Based on the prices listed below, what is the estimated total, rounded to the nearest dollar? Which explains why he can afford the tambourine and xylophone?
Tambourine: $13.95Xylophone $23.50
The estimated total to the nearest dollar is $38, so he can afford them.
The estimated total to the nearest dollar is $37, so he can afford them.
The estimated total to the nearest dollar is $36, so he can afford them.
The estimated total to the nearest dollar is $37.45, so he can afford them.
Answer:
I would pick a, the estimated total to the nearest dollar is 38
Step-by-step explanation:
13.95 rounded is 14
23.50 rounded is 24
24+14=38
A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is23ft ft?
Answer:
Step-by-step explanation:
Simply put, it is similar to finding the area of a circle.
Therefore, a=pi*r^2
a=pi*23^2
a=529pi
a=1661.9 ft^2
A large grocery store chain pays all workers time and a half on Saturdays and double time on Sundays. If an employee's regular pay is $10.75 per hour, use the expression 10.75(1.5)(x) + 10.75(2)(y) to find their gross income if they worked 4.5 hours on Saturday and 5 hours on Sunday. (4 points)
$156.72
$177.38
$180.06
$257.44
Answer:
180.06
Step-by-step explanation:
We first need to sustitue x and y for the time workd on saturday and sunday :)
10.75(1.5)(4.5) + 10.75(2)(5)
Now we multpily in order!!
10.75(1.5)(4.5) + 10.75(2)(5)
72.56 + 10.75(2)(5)
72.56 + 107.50
Now we add!!
72.56 + 107.50
180.06
Your answer is 180.06 :)
Have an amazing day!!
Please rate and mark brainliest!!
Find the distance between (-3, 7) and (-8, 5).
help me with this please!!!!!!
Answer:
29 square root or 5.39
Step-by-step explanation:
Answer:
5.39 units.
Step-by-step explanation:
Distance = √(-8-(-3))^2 + (5-7)^2)
= √((-5)^2 + (-2)^2)
= √(25+ 4)
= √(29)
= 5.39.
i need help please 100 points
Divide. 8 from 1/3
20
24
12
4
Answer: B. 24
Step-by-step explanation:
8 / 1/3 =
8 * 3 +
24
Answer:
24
Step-by-step explanation:
8 divided by 1/3=24
1/3x4=1 1/3
1/3x12=4
1/3x24=8
1/3x20=7 1/3
How do you write
–514 11/12 as a decimal
Answer:
what does the -514 relate with 11/12?
Step-by-step explanation:
11/12 written as a decimal is .91
Answer:
It would be -514.916 with a _ over the six.
Step-by-step explanation:
11/12 is equal to 0.916666, where the six goes on forever. This is called a repeating decimal. In a repeating decimal, you would put this symbol _ over the number that repeats, in this case, 6. Or you would round, but that"s not given in this question.
What factors of 12 would add to be 7
Hey there!
These are the factors of 12:
1, 2, 3, 4, 6, 12
These are the factors that add up to 7:
6+1
3+4
These are the factors of 12 that add up to 7 and multiply to 12:
3 & 4
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
25 Points!! What is the volume of the prism 1 1/2ft 3 1/2ft 2 1/2 ft? Please answer when you have the time to.
Answer:
The first one: 13.125 ft³
The second one: 67.5 ft³
Step-by-step explanation:
For the first one:
The volume of a prism is length x width x height.
So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.
However, you can conver 1/2 to .5, to make it easier to multiply.
So, 3.5 x 2.5 x 1.5 = 13.125
Make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.
For the second one, same formula:
Length = 6, width = 2 1/2, and height = 4 1/2
6 x 2.5 x 4.5 = 67.5
Again, make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.
Answer:
13.125 [tex]ft^{3}[/tex]
Step-by-step explanation:
Volume is base * length * height.
In this case, the dimensions are 1.5, 3.5, and 2.5.
Assuming these values are the base, length, and height,
1.5 * 3.5 * 2.5 = 13.125 [tex]ft^{3}[/tex].
Also, using the volume formula, the bottom shape's volume is 67.5 [tex]ft^{3}[/tex].
Hope this helps!
Also, please mark as brainliest!
The area of a rectangle is 72.8 ft?. If
one of its sides is 6.5 ft, what is its
perimeter?
Answer:
35.4
Step-by-step explanation:
divide 72.8 by 6.5 to get the other two sides. Then you will have all four sides. From there you can add all four sides. 6.5 + 6.5 + 11.2 + 11.2 = 35.4. Hope that helps!
Find the length of the third side. If necessary, round to the nearest tenth. 6 8 there also a right angle
Answer:
See below ↓
Step-by-step explanation:
Given side lengths :
68This question can be solved in two ways :
Taking the third side to be the hypotenuse (What you're probably looking for)Taking 8 to be the hypotenuse (Probably not needed, but good for understanding the various possiblities)Case 1
By Pythagorean Theorem, as right angle is mentioned :6² + 8² = x²x² = 100x = 10 [Your answer!]Case 2
6² + x² = 8²x² = 64 - 36x² = 28x = 2√7 [Just in case!]Hope it helps~
The baker needs 5/8 cup of raisins to make 1 batch of cookies. How many cups of raisins does he need to make 7 batches of cookies?
Answer:
5
Step-by-step explanation:
5/8 times 7 is 35/8. Round that to the nearest integer up and you get 5.
Which term BEST describes 11 in the data set?
32, 29, 30, 35, 31, 34, 11
A.mean
B.media
C.mode
D.outlier
Answer:
Choice D.
Outlier
A dairy farmer plans to enclose a rectangular pasture (of length x and width y) adjacent to a river to provide enough grass for the herd, the farmer has 240m of fencing material. No fencing is required along the river. What should be the dimensions of the pasture that will provide the maximum area of pasture?
explain with steps. Tnx
Answer:
Step-by-step explanation:
The amount of fencing provided is 240 meters, and it only needs to cover 3 sides, as one side is the river and does not need to be fenced. 240/3 is 80, which is the length and width of the pasture. 80 is the length and width because squares have a larger area than rectangles if the perimeter is the same.
In conclusion, the pasture is a square with side length of 80. The dimensions of the pasture are 80x80
Hope this helped :)
What's the answer pls help
Answer:
x = 8
Step-by-step explanation:
Both these angles are equal because they are equal. So we make this equation:
8x + 36 = 5x + 60
-5x -5x
3x + 36 = 60
-36 -36
3x = 24
Divide both sides by 3:
x = 8
What is the sum of 5 times a number and 7 is 2
Answer:-1
Step-by-step explanation:
5x+7=2
5x=5
X=1