15 / 20 = 3 × 5 / 4 × 5
simplify 5 from The Denominator and The numerator
= 3 / 4
19 fand g are functions such that
12
(c)
and g(x)=3(2x + 1)
(a) Find g(5)
(b) Find gf(9)
Answer:
=3(2(5)+1
=3×10+1
=30+1
=31
Answer:
(a) 33
(b) 27
(c) 1/2
Step-by-step explanation:
(a)
g(x) = 3(2x + 1)
g(5) = 3(2 * 5 + 1)
g(5) = 3(10 + 1)
g(5) = 3(11)
g(5) = 33
(b)
[tex] f(x) = \dfrac{12}{\sqrt{x}} [/tex]
[tex] f(9) = \dfrac{12}{\sqrt{9}} [/tex]
[tex] f(9) = \dfrac{12}{3} [/tex]
[tex] f(9) = 4 [/tex]
g(f(9)) = g(4) = 3(2(4) + 1)
g(f(9)) = 3(9)
g(f(9)) = 27
(c)
[tex] g(x) = 3(2x + 1) [/tex]
[tex] y = 3(2x + 1) [/tex]
[tex] x = 3(2y + 1) [/tex]
[tex] 2y + 1 = \dfrac{x}{3} [/tex]
[tex] 2y = \dfrac{x}{3} - 1 [/tex]
[tex] y = \dfrac{x}{6} - \dfrac{1}{2} [/tex]
[tex] g^{-1}(x) = \dfrac{x}{6} - \dfrac{1}{2} [/tex]
[tex] g^{-1}(6) = \dfrac{6}{6} - \dfrac{1}{2} [/tex]
[tex] g^{-1}(6) = 1 - \dfrac{1}{2} [/tex]
[tex] g^{-1}(6) = \dfrac{1}{2} [/tex]
Jose and Francis throw a ball in the air and create function models to show the trajectory. The variable x represents time in seconds after the ball was thrown and f(x) represents the height in meters. The path of Jose's ball is represented by the function, f(x)=−4.9x2+25.48x+1.8. The path of Francis's ball is represented by the table. Select the answers from the drop-down menus to complete the statements. Choose... ball is thrown from a greater height off the ground. Choose... the ball reaches a greater maximum height. x f(x) 0 1.6 0.7 18.047 1.4 30.412 2.1 37.615 2.8 40.016 3.5 37.615 4.2 30.412 4.9 18.047 5.6 1.6
Answer:
1.Jose's
2.
Francis's
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELP With this question
Answer:
Step-by-step explanation:
sin 60=CB/18
[tex]\frac{\sqrt{3} }{2} =\frac{CB}{18} \\CB=9\sqrt{3}[/tex]
Ahmed wrote an expression as 12x + 24, find all the equivalent expressions using the distributive property.
Answer:
[tex]12x + 24 = 2(6x + 12)[/tex]
[tex]12x + 24 = 3(4x + 8)[/tex]
[tex]12x + 24 = 4(3x + 6)[/tex]
[tex]12x + 24 = 6(2x + 4)[/tex]
[tex]12x + 24 = 12(x + 2)[/tex]
Step-by-step explanation:
Given
[tex]12x + 24[/tex]
Required
Equivalent expressions
No option were given; So, I will list out some possible equivalent expressions.
Using distributive property:
[tex]AB + AC = A*(B + C)[/tex]
So, we have:
[tex]12x + 24 = 2*6x + 2 * 12[/tex]
[tex]12x + 24 = 2(6x + 12)[/tex] ----- (1)
Another:
[tex]12x + 24 = 3*4x + 3 * 8[/tex]
[tex]12x + 24 = 3(4x + 8)[/tex]
Another:
[tex]12x + 24 = 4*3x + 4*6[/tex]
[tex]12x + 24 = 4(3x + 6)[/tex]
Another:
[tex]12x + 24 = 6*2x + 6*4[/tex]
[tex]12x + 24 = 6(2x + 4)[/tex]
Another:
[tex]12x + 24 = 12*x + 12*2[/tex]
[tex]12x + 24 = 12(x + 2)[/tex]
Please help meee I need help
Answer:
5
6
Step-by-step explanation:
To solve, collect like terms
x ≥ 2 + 21/2
x ≥ 4 1/2
the whole number that would be greater than 41/2 would be 5
2. 2.7 + 3.3 > x
6 > x
Evaluate (1002 - 187)
Given that 3 x 91+x=27*. find x
Answer:
3×91+×=27
273+×=27
×=27-273
×= -246
Answer: x=−246
→ Hope this help!←
During the assembly of a certain piece of exercise equipment, 3 welds are required during different phases of the assembly process. It is assumed that the welds are performed independently of one another. Due to variation in the materials used and in technique, only 97% of all welds are performed satisfactorily, with the remaining 3% being classified as defective. What percentage of all pieces of this type of equipment will have at least one defective weld
Answer:
99.9973 %
Step-by-step explanation:
This is a binomial probability distribution.
Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.
Since there are 3 welds and we require at least one being defective, our binomial probability is
P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × 0.000027 × 1 = 1 - 0.000027 = 0.999973 × 100% = 99.9973%
5. How much should Chantal budget per month to make sure she has enough
money to pay her car expenses? Last year she had variable expenses of
$2,125.10 and fixed expenses of $4,176.43
Answer:
$525.13
Step-by-step explanation:
cost per month = total expenses / months in a year
total expenses = fixed cost + variable cost
$2,125.10 + $4,176.43 = $6,301.53
cost per month = $6,301.53/ 12 = $525.13
Write an expression that expresses y in terms of x
Answer:
y= 5/2x
Step-by-step explanation:
okay so the diffrence between 10, 12, 14 is 2 and diffrence between 25, 30 and 35 is 5
now... y=mx+b
slope or m= 5/2. y=5/2x
please help me, i will give u brainliest if it is CORRECT
Answer: 25%
Step-by-step explanation:
STEP ONE: Find the total possible ways to roll the dice.
- Each roll has 6 possible numbers
- Each roll is independent
6×6=36 possible combination
STEP TWO: Find the possible ways to roll the dice in odd-odd
- Each roll has 3 odd number (1, 3, 5)
- Each roll is independent
3×3=9 possible combination
STEP THREE: Put it into a fraction
Possibility of odd-odd=(possible odd-odd combination)/(total combination)×100%= 9/36 × 100%=0.25 × 100%= 25%
Hope this helps!! :)
Please let me know if you have any questions
In a study of speed dating, male subjects were asked to rate the attractiveness of their female dates, and a sample of the results is listed below (1 = not attractive; 10 = extremely attractive). Construct a confidence interval using a 95% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult females? 5, 8, 2, 8, 7, 6, 6, 8, 9, 9, 6, 9 What is the confidence interval for the population mean μ? <μ
Answer:
Confidence Interval = ( 5.6 < μ < 8.2 )
The interval shows that the mean attractiveness is Above average on a scale of 1 to 10
Step-by-step explanation:
Data Given : 5, 8, 2, 8, 7, 6, 6, 8, 9, 9, 6, 9
a) construct a confidence interval at a 95% confidence level
confidence interval = x ± tcritical ( s / √ n ) ------ ( 1 )
n = 12
μ (mean) = ( 5+8+2+8+7+6+6+8+9+9+6+9 ) / 12 ≈ 6.92
std ( s ) = √ 1/11 *∑( xi- X )^2
= √ 1/11 * ( 5 - 6.92)^2 + ( 8 - 6.92)^2 + ( 2 - 6.92)^2 + ( 8 - 6.92)^2 + ( 7-6.92)^2 + ( 6 - 6.92)^2 + (6 - 6.92 )^2 + ( 8 - 6.92 )^2 + ( 9 - 6.92)^2 + ( 9 - 6.92)^2 + ( 6 - 6.92 )^2 + ( 9 - 6.92 )^2
= √ 1/11 * 46.92 = 2.07
tcritical at ∝ 0.05 , df = 11 = 2.20
Back to equation 1
6.92 ± 2.2 ( 2.07 / √ 12 )
( 6.92 ± 1.31 )
Confidence Interval = ( 5.6 < μ < 8.2 )
Suppose a white dwarf star has a radius of approximately 9.0415 x 10 km. Use the formula 4 to find the approximate surface area of the star.
Please show work and not just a rando scam link ._.
Answer:
I like doods
Step-by-step explanation:
Pp + pp
What is the slope of y=7x+2
Answer: m = 7
Step-by-step explanation: This equation is written in slope-intercept form which is the same thing as y = mx + b form where m represents the slope of the line and b represents the y-intercept.
Now looking at this equation, we can see that m or the slope of the line is 7.
That is what I need help with.
Also I hope you have a good day :)
Sarah wants to make a quilt that is 6 feet wide and 8 feet long. she is patching together 4 inch sided squares of fabric to make the quilt. how many patches of fabric will she need?
Answer: 2 patches of fabric needed
Step-by-step explanation:
Given
Quilt: 6 ft × 8 ft
Fabric: 4 ft × 4 ft
Solve
Area of quilt=4×8=32 ft²
Area of fabric=4×4=16 ft²
To find the number of fabric needed, we need to divide the area of fabric from the total area of the quilt.
32/16=2
Hope this helps!! :)
Please let me know if you have any questions
A television at Walmart cost $1,538 and $1,923 at Target. With taxes, what would you actually pay at each store. Walmart sales tax is 7% and Target’s sale tax is 9%.
Answer:
walmart:1645.66 target:2096.07
Step-by-step explanation:
walmart:1538/100 × 107= 1645.66
target:1923/100 × 109= 2096.07
i think this is the ans but im not very sure
Someone help! James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
1. When x = 2, both expressions have a value of 18.
2. The expressions are only equivalent for x = 4 and x = 6.
3. The expressions are only equivalent when evaluated with even values.
4. The expressions have equivalent values for any value of x.
5. The expressions should have been evaluated with one odd value and one even value.
6. When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
7. The expressions have equivalent values if x = 8.
Answer:
3, 5, and 6
Step-by-step explanation:
Describe the cross section
Drag each tile to the table to multiply
(6x – y)(2x – y + 2).
fill the table
2x -y 2
6x 12^2 -6xy 12x
-y -2xy y^2 -2y
Which of the following statements about rotations are true? Select all that apply.
a. The shape of the figure does not change.
b. The position of the figure does not change.
c. The size of the figure does not change.
d. The orientation of the figure does not change.
e. The coordinates of the figure do not change.
Answer:
hmmm I guess it has to be e. if I 'm wrong
3. Audrey measures the distance around the lid of her aquarium. The picture
shows the shape of the lid. If the perimeter of the lid is 56 inches, what is the
missing side length? *
Answer:
Answer: 10 inches
Explanation: You are given one side of the aquarium which is 18 inches. The top and the bottom of the aquarium is 18 inches because that’s what the diagram gives us. So you can multiply 18 x 2=36. Now, to find the missing side length, subtract the perimeter (56 inches) by 36 and you get 20 inches. However, that’s not your final answer because you have to divide 20/2=10 inches. 10 inches is the missing side length for the left and right side lengths
The missing length of the lid of her aquarium in the pricure is 18 inches.
What is the missng length?The shape of the lid of her aquarium is a rectangle. A rectangle is a quadrilateral with four sides.
The perimeter of the rectangle = 2(length + width)
56 = 2(18 + l)
56/2 = 18 + l
28 = 18 + l
l = 28 - 18 = 10 inches
Find attached the required image. To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029
I cant figure out what -2⅘÷(-7) IS
match each quadratic function to its graph
Ezekiel has a $35 budget for school supplies, and he's already spent half of it on notebooks
and binders. Now he needs some pens. If pens only come in packs of 12 and they cost $5
per pack, what's the maximum number of pens he can afford with the rest of his budget?
A) 42 pens
B) 36 pens
C) 3 pens
D) 3.5 pens
Answer:
B
Step-by-step explanation:
let's list everything out.
$35 for school supplies
$17.5 has already been used
$17.5 is left
pens only come in packs of 12
one pack of pens is $5
ok, so we know its definitely not C or D because they are less than 12
42 is not divisible by 12
since packs only come in 12's then it must be B.
good luck my friend!
Kim and Steven went to dinner. Kim had a coupon for a 25% discount off the price of all meals, not including tax and tip, if the original price of meals was $75.00, what is the discounted price, not including tax and tip?
Answer:
$93.75
Step-by-step explanation:
0.25 x $75.00=$18.75
$75.00 + $18.75 = $93.75
Mario spends$$80 to produce some pineapples. He is able to sell each one for$$7.
If p represents the number of pineapples he must sell to make a profit, write an inequality and solve for p. Do not round your answer.
35 points
please help i have 2 more questions!!
Answer:
49°
Step-by-step explanation:
since its a right angle that just subtract from 90
90-41= 49
Answer:
49
Step-by-step explanation:
Because of the square at O, we know that angle XOZ is a right angle and is 90°.
Since angle XOZ is made up of angle XOY and angle YOZ, we can subtract the measure of angle XOZ by the measure of angle XOY to find the measure of angle YOZ, which is equal to x.
x = 90 - 41
x = 49
please HELPppppppppppppppp
Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).
juan has $500 in his bank account. At the end of each month he plans to deposit $75. If these are his only transactions, which expression could be used to show the amount of money Juan will have in his account after m months?
75m+500
You have the 500 as the initial amount and the 75m is how much juan adds each month
Water is filling a conical tank at a rate of 3 pi cubic feet per second. However, the water level is only increasing at a rate of 1/2 pi feet per second. There must be a leak in the tankout the rate water is out of the tank when the water level is 5 feet from the bottom of the tank. The tank is 10 feet in height and has a radius at the top of 2 feet.