Answer:
x = 15 and y = 7
Step-by-step explanation:
x = 2y + 1
x + y - 8 = 14
Let's substitute the value of x in the second equation:
(2y + 1) + y - 8 = 14
3y -7 = 14
3y = 14 + 7
3y = 21
y = 21/3
y = 7
And now you substitute the value of y in the first equation:
x = 2•7 + 1
x = 14 + 1
x = 15
George has a spinner with three equal sections colored orange, blue, and white. He spins the spinner 100 times. What is the experimental probability of landing on the orange section?
Answer:
1/3
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Experimental probability is based on the result of an experiment that has been carried out multiples times
probability of landing on the orange section = proportion of the orange section / total proportions of all the colours
= 1/3
What is the inverse of the function g(x) = 1/2x + 1/2?
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=12x f ( x ) = 1 2 x .
Replace f(x)f(x) with yy.
y=12xy=12x
Interchange the variables.
x=12yx=12y
Solve for yy.
Rewrite the equation as 12y=x12y=x.
12y=x12y=x
Multiply both sides of the equation by 22.
2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x
Simplify 2⋅12⋅y2⋅12⋅y.
Cancel the common factor of 22.
Cancel the common factor.
2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x
Rewrite the expression.
1⋅y=2⋅x1⋅y=2⋅x
Multiply yy by 11.
y=2⋅xy=2⋅x
Solve for yy and replace with f−1(x)f-1(x).
Replace the yy with f−1(x)f-1(x) to show the final answer.
f−1(x)=2xf-1(x)=2x
Set up the composite result function.
g(f(x))
can someone please help me :(
Answer:
1.5 square miles
Step-by-step explanation:
First divide 1 by 0.5 which is 2. that means you also divide 3 by 2 which is 1.5.
carlos is using a hose to fill a bucket. the path of the water can be represented by the function f(t) where f(t) represents the height of the water in inches and t represents the time in seconds.
Answer:
The function represents the height of the water in the bucket
Step-by-step explanation:
Given
[tex]f(t) = -t^2 + 4t[/tex]
Required
State what the function represents
From the question, we understand that t represents the time spent while the function illustrates the water level in the bucket.
This implies that f(t) calculates the height of the water in the bucket, given the value of time (t)
NEED HELP ASAP
The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 1/3. What is the equation of function g?
Substitute a numerical value for k into the function equation.
Step-by-step explanation:
x' = ⅓ x => x = 3x'
f'(x) = 7(3x')+1
= 21x' + 1
so g(x) = 21x + 1
Put a check by all the prime numbers.
A)6
B)7
C)10
D)11
E)20
F)25
or none of the above
PICK HOW MANY U WANT JUST GIVE ME THE RIGHT ANSWER!
Answer:
7 and 11
Explanation:
Prime numbers are numbers that have only 2 factors; one and themselves.
Hope this helps!
Answer:
Only 7 and 11 are prime.
Step-by-step explanation:
prime numbers are numbers whose factors are only one and them selves
The bakery manager at the grocery store decides to have a 18% off sale on all bread. You decide to purchase 3 loaves of bread. Let b be the original price of a loaf of bread. Expand the expression 3(b − 0.18b). What do the terms of the expansion represent?
I need the answer for the problem that’s above done can someone help? please.
*SHOW STEPS PLEASE* You can verify the zeros of the function y=x^2+6x-7 by using a graph and finding where the graph ________
a) is at a maximum.
b) is at a minimum.
c) crosses the y-axis.
d) crosses the x-axis
please help with this !!!!
Answer:
0
Step-by-step explanation:
this is just to confuse us.
"t" is used instead of "x" (probably because the formula has something to do with "time"). but it does not matter.
and 3 different functional definitions have been given based on the value of the argument "t".
we need the functional value for t=2.
is 2 = 8 ? no. therefore the first definition does not apply.
is 2 = 10 ? no. therefore the second definition does not apply either.
is 2 unequal to 8 or 10 ? yes, 2 is 2 and not 8 and not 10.
so, the third definition applies :
f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 0
What is the length of BC? Please include how you got it :)
Answer:
BC = 24
Step-by-step explanation:
We know that triangles CAB and CED are similar because all three of their angles are the same. Thus, we know that the side lengths of these triangles have to be proportional to each other. You would match side BC with side DC and sides AC with EC.
AC/EC = BC/DC
30/10 = (32-x)/x
3 = (32-x)/x
Then using algebraic properties, solve for x.
3x = 32 - x
4x = 32
x = 8.
Lastly, plug in 8 for the x in BC, 32 - 8, so the length of BC is 24
Answer:
B
Step-by-step explanation:
Δ CBA and Δ CDE are similar triangles, then the ratios of corresponding sides are equal, that is
[tex]\frac{CB}{CD}[/tex] = [tex]\frac{CA}{CE}[/tex] , substitute values
[tex]\frac{32-x}{x}[/tex] = [tex]\frac{30}{10}[/tex] = 3 ( multiply both sides by x )
32 - x = 3x ( add x to both sides )
32 = 4x ( divide both sides by 4 )
8 = x
Then
BC = 32 - x = 32 - 8 = 24 → B
The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If the cash price is 20% less the hire purchase pries, (a) find the costs price of the fridge (b) calculate the deposit (c) what is the monthly installments (d) what is the differences between the cash price and the hire purchase prie
Answer: a. 13120
b. 4100
c. 1025
d. 3280
Step-by-step explanation:
(a) find the costs price of the fridge
Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:
= (100% - 20%) × 16400
= 80% × 16400
= 0.8 × 16400
= 13120
(b) calculate the deposit
Since 25% is paid as deposit, the deposit will be:
= 25% × 16400
= 0.25 × 16400
= 4100
(c) what is the monthly installments
Monthly installments will be:
= (16400 - 4100)/12
= 12300/12
= 1025
(d) what is the differences between the cash price and the hire purchase price.
This will be:
Hire purchase price = 16400
Cash price = 13120
= 16400 - 13120
= 3280
16. Show your work and check your answer(s).
√2x-1+7=4
Answer
X=25
Step-by-step explanation:
Two points, a and b, are graphed on the number line below. Maynard says there is not enough information to write an inequality statement comparing a and b. Which statement explains whether or not Maynard is correct? a b -10 0 10 Maynard is correct. There is no way to tell which exact numbers a and b represent, so he cannot write an inequality. Maynard is correct. There is no way to tell if a and b are positive or negative, so he cannot write an inequality Maynard is incorrect. On the number line, a is to the left of b. so a Maynard is incorrect. On the number line, a is to the left of b. So a > b.
Answer:
c
Step-by-step explanation:
how do i solve this x^2 −12x+36=0
Step-by-step explanation:
x^2-6x-6x+36=0
x(x-6)-6(x-6)=0
(x-6)(x-6)=0
x=6
Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7. What is the scale factor of the dilation of triangle DEF?
===============================================
Work Shown:
k = scale factor
k = (OF ')/(OF)
k = (OF ')/(OF ' + F ' F)
k = (3)/(3 + 10)
k = 3/13
The scale factor of the dilation of triangle DEF is 3/10.
What is Dilation?The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.
We have a triangle DEF is dilated to smaller triangle D'E'F' .
As, the length of OF' = 3 and F'F = 7.
So, the scale factor of dilation is
OF' / OF = 3 / 10.
Thus, the scale factor is 3/10.
Learn more about Dilation here:
https://brainly.in/question/30389359
#SPJ2
Quadrilateral QRST is inscribed in the circle. Find the measurements of each of the angles in Quadrilateral QRST. Show your work. (x-6) (x+12) (x-4)
Answer:
Given- O is the centre of a circle in which an equilateral ΔPQR has been inscribed.
To find out- ∠QOR=?
Solution- The points P, Q & R are on the circumference of the circle since ΔPQR has been inscribed in the circle. Now the chord QR subtends ∠QOR to the centre O and ∠QPR to the circumference at P.
∴ By rule, ∠QOR=2∠QPR.........(i).
Now PQR is an equilateral Δ. Each of its angle is 60
o
. i.e ∠QPR=60
o
.
So, from (i), ∠QOR=2∠QPR=2×60
o
=120
o
.
Ans- Option B.
solution
Miguel is working at the county fair. On Friday, he works at the concession stand. On Saturday, he works at the balloon dart booth. At the concession stand, Miguel sells 7 soft pretzels for every 2 candied apples. How much profit will the concession stand make if it sells 161 soft pretzels? Explain.
Answer:
$362.25
Step-by-step explanation:
Profit made per product :
Soft pretzel = $5.25 - $3.50 = $1.75
Candied apple = $3.50 - $1.75 = $1.75
For every 2 candied apple sold, 7 soft pretzel is sold :
If 161 sold pretzel is sold, the number of candied apple sold will be :
(161 / 7) * 2
23 *. 2 = 46 candied apple was sold
Profit made on product sold :
Soft pretzel = $1.75 * 161 = $281.75
Candied apple = $1.75 * 46 = $80.5
$(80.5 + 281.75) = $362.25
Help pls and thank uu
Answer:
[tex]for~x=3[/tex]
[tex]f(x)=-5[/tex]
[tex]So,f(3)=-5[/tex]
--------------------------hope it helps...have a great day!!PLEASEEEEEEE HELPPPPPPPPPPPPPPPPPPPP
Answer:
Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000
Step-by-step explanation:
9.22 = 9.2200
9.202 = 9.2020
9.8 = 9.8000
9.2211 = 9.2211
Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.
Arranging : 9.2200, 9.2020, 9.2211, 9.800
So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]
Arranging : 9.2020 , 9.2200, 9.2211, 9.8000
Now compare the numbers in tenths , hundredths and thousandth place :
[220, 202, 800, 221 ]
Arranging : 9.202, 9.220, 9.221, 9.800
Now compare all the four numbers and arrange :
[ 2200, 2020 , 8000, 2211 ]
Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000
Analyze the diagram below and complete the instructions that follow.
Find the exact value of tan(M).
Explanation:
Recall that tangent = opposite/adjacent.
For reference angle M, the side ON = 5 is the opposite side and MN = 12 is the adjacent side. We don't need the hypotenuse.
Answer:
C or 5/12
Step-by-step explanation:
Your purchase a T-shirt with a label pre-tax price of $17 the local sale price rate is 5% what is your final cost including tax
Answer: $17.85
Step-by-step explanation:
The tax on the T-shirt is 5% and the price is $17.
To find the after-tax cost, first find the tax amount:
= 5% * 17
= $0.85
Then add this tax amount to the price to find the after-tax amount:
= 17 + 0.85
= $17.85
Determine the equation of the circle graphed below.
( help me please. )
Answer:
________________________________
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A pattern starts at 3 and follows the rule 5
What point on each number on the number line that is in the pattern
need help?
Step-by-step explanation:
just try plotting on a number line
Find the image of the given point under the given translation. P(-7, 1) T(x, y) = (x + 9, y-3) P' = ([?], []). Enter the number that belongs in the green box Enter
Answer:
P’ is (2,-2)
Step-by-step explanation:
For us to get the appropriate translation, we have to add 9 to the x-coordinate value and subtract 3 from the y-coordinate value
so, we have the transformation as follows;
(-7+9, 1-3)
= (2,-2)
A circular table has a radius of 5cm. Decorative trim is placed along the outside edge. How
long is the trim?
A. The scale along the vertical axis is not appropriate for the data.
B. The intervals along the vertical axis are not equal.
C. The average temperatures of some of the days are not correctly plotted.
D. On January 4 the temperature was higher than any other day.
Answer:
A
Step-by-step explanation:
beacuse it is more reasonable hope this helps
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter
Answer:
72 m^3
Step-by-step explanation:
volume of the kiosk = volume of cylinder + volume of cone
volume of a cylinder = nr^2h
n = 3.14
r = radius = 5/2 = 2.5
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x (2.5^2) x 3 = 58.88
Volume of a cone = 1/3(nr^2h)
3.14 x 1/3 x (2.5^2) x 2 = 13.08
13.08 + 58.88 = 71.96
To round off to the nearest cubic meter, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
= 72 m^3
100 points and reward brainliest!
(28-b)xb=187
b = ?
Answer:
[tex]b=11, b=17[/tex]
Step-by-step explanation:
To get rid of the parenthesis, distribute:
[tex]b(28-b)=187,\\28b-b^2=187[/tex]
Move all terms to one side and factor:
[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]
Answer:
b = 11, 17
Step-by-step explanation:
=> (28 - b) × b = 187
=> 28b - b² = 187
subtracting 187 from both sides=> 28b - b² - 187 = 0
dividing the equation by (-1) and rearranging=> b² - 28b + 187 = 0
breaking -28b into 2 variables such that the variable multiply to form 187b²=> b² - 11b- 17b + 187 = 0
{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }
=> b (b - 11) - 17(b - 11) = 0
=> (b- 11)(b - 17) = 0
either(b - 11) = 0
=> b = 11
or(b - 17) = 0
=> b = 17
therfore,
b = 11, 17Simplify the expression. x^5/x^9
Answer:
1/x^4
Step-by-step explanation: