Answer: Third Choice. x= 6 1/3
Step-by-step explanation:
Given
f(x) = 9x² - 54x - 19
Completing the square
3x -19
3x 1
Substitute back to the function
f(x) = (3x-19) (3x+1)
Simplify
x= 6 1/3 or -1/3
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Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza
24% of the students like hamburgers
58% of the students like chicken
8% of the students like all three
12% of the students like pizza and hamburgers
22% of the students like pizza and chicken
8% of the students like only hamburgers
What percent of the students did not like pizza, hamburgers or chicken?
Answer:
0%
Step-by-step explanation:
They all liked one type of food.
The percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza24% of the students like hamburgers58% of the students like chicken8% of the students like all three12% of the students like pizza and hamburgers22% of the students like pizza and chickenonly 8% of the students like hamburgersThe vann diagram which represent this result is attached below. 8% of the students like all three, so 4% like chicken and hamburger and 4% pizza and hamburger.
14% of the students like pizza and chicken. Thus, the percent of the students did not like pizza, hamburgers or chicken is,
[tex]100-(32+14+8+4+4+8+8)=22\%[/tex]
Thus, the percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
Learn more about the percentage here;
https://brainly.com/question/2085058
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Most water treatment facilities monitor the quality of their drinking water on hourly basis. One variable monitored it is pH, which measures the degree of alkalinity or acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH of 7.0 is neutral. One water treatment plant has a target pH of 8.5 (most try to maintain a slightly alkaline level). The mean and standard deviation of 1 hour's test results, based on 12 water samples at this plant are: Mean =8.24 S=.16 Does this sample provide sufficient evidence that the mean pH level in the water differs from 8.5?
Answer:
we can conclude that there is significant evidence to support the stance that mean pH value in water differs from 8.5
Step-by-step explanation:
H0 : μ = 8.5
H1 : μ < 8.5
Test statistic :
(xbar - μ) / s/sqrt(n)
(8.24 - 8.5) ÷ (0.16 ÷ √12)
-0.26 ÷ 0.0461880
Test statistic = - 5.63
The Pvalue can be obtained from the test statistic value using a Pvalue calculator :
df = 12 - 1 = 11
Pvalue = 0.000077
Using an α value of 0.05 ; we can conclude that
Pvalue < α ; We reject H0
Hence, we can conclude that there is significant evidence to support the stance that mean pH value in water differs from 8.5
How many students chose snap?
Answer:
Well 40% of 120 is 48 so 48 students
Step-by-step explanation:
Find the surface area.
6 ft
211
3 ft
Answer:
36 ft
Step-by-step explanation:
Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this
Answer:
45 and 135degrees
Step-by-step explanation:
Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this
In trigonometry, cosx = sin(90-x)
Hence:
Cos(8x+21) = sin(90-(8x+21))
Cos(8x+21) = sin(90-8x-21)
Cos(8x+21) = sin(-8x+69)
Substituting into the expression given, :
sin(-8x+69) = sin(-2x+51)
-8x+69 = -2x+51
-8x+2x = 51-69.
-6x = -18.
X = 18/6
X = 3
Since the angles 8x+21
Angle = 8(3)+21
Angle = 45
The angles represented in degrees are 45 and (180-45) = 135degrees
pls help me plsssssssssss
Answer:
Step-by-step explanation:
Which statement makes a correct comparison of 3/5 and 3/8, and gives the proper support? (Help )
Answer:
3/5 is 0.6
3/8 is 0.375
3/5 is greater then 3/8
the answer would be c
y is inversely proportional to √1+x when x = 8 and y = 2 find y when x = 15
Answer:
y = 3/2 when x = 15
Step-by-step explanation:
y = k / √1+x
2 = k / √1+8 = k/3
k = 6
y' = 6 / √1+15 = 6/4 = 3/2
SOMEONE PLEASEEEE HELPPPP !!!!!!!!
FALSE ITS FALSE FALSE
Answer:
True
Step-by-step explanation:
In a triangle, all the angles must add up to 180. The angles in an equiangular triangle are all the same so you can just divide 180 by 3 to get one of the angles. This is equal to 60 degrees and since acute traingles have angles that are all less than 90 degrees, it is an acute triangle.
4 granola bars are shared equally between 8 people. What fraction of a granola bar does each
Does person receive?
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at
90
9090 kilograms and gained weight at a constant rate. After
8
88 months, he weighed
138
138138 kilograms.
Let
W
WW represent the sumo wrestler's weight (in kilograms) after
t
tt months.
Complete the equation for the relationship between the weight and number of months.
W
=
W=W, equals
Answer:
W = 6t + 90
Step-by-step explanation:
Given :
Starting weight = intercept = 90 kg
Weight gained after 8 months = 138 kg
Using the slope intercept relation ;
We can obtain the rate of change, slope ;
y = mt + c
m = slope ; t = time after t months ; c = intercept
y = weight gained after 8 months
138 = 8m + 90
138 - 90 = 8m
48 = 8m
m = 48 / 8
m = 6
Hence, slope intercept equation equals :
W = 6t + 90
In 1978, the amount of earnings required to earn one Social Security credit was $250. Thirty-eight years later, in 2016, the amount was $1260. What was the percent increase in the amount required to earn a credit over this 38-year span?
Answer:
404%
Step-by-step explanation:
To find the percentage difference do the following: (FV - SV)/|SV| * 100
(1260 - 250)/|250| * 100 {Subtract 250 from 1260 to get 1010. The absolute value of 250 is 250.}
1010/250 * 100 {Divide 1010 by 250 to get 4.04, or 101/25.}
101/25 * 100/1 {CROSS CANCELLATION}
101 * 4 {Multiply 4 by 101 to get 404.}
404%
The percent increase in the amount required to earn a credit over 38 years is 404%.
If there is an 9% tax
on a $18 football,
what is the tax
amount?
Answer: $1.62
Step-by-step explanation:
9% = 0.09
18 * 0.09 = 1.62
Answer:
1.62
Step-by-step explanation:
To find 9 percent of the number 18, we must create a proportion from which we can easily determine the value we are looking for.
First we create two simple equations with data that we know.
18 equals 100%, so we can save it as 18 = 100%
The value we are looking for can be called x
Now we know that x is 9 of the output value, so we can write it as x = 9.
So we have two simple equations:
1) 18 = 100%
2) x = 9%
When we compare these two equations, we get:
18 / x = (100%) / (9%)
Now we just have to solve the simple equation.
We calculate 9 percent of 18:
18 / x = 100/9
(18 / x) * x = (100/9) * x
18 = 11.111111111111 * x
18 / 11.111111111111 = x
1.62 = x
x = 1.62
Solution:
9 percent of 18 = 1.62
Solve for n 6 ( n - 3) - 2n = 10
Answer:
n = 7
Step-by-step explanation:
:)
Find mean of the following data.
X 5 10 15 20
F 3 6 3 4
25
4
Answer:
14.1
Step-by-step explanation:
Mean = sum of the items/ no. of items = ∑fx÷∑f = 705÷ 50 = 14.1
Jeans cost 4x-5
Gary has (10x + 7) dollars. If Gary decides to buy two pairs of jeans, what expression can be written to represent how much money Gary will have left over after the purchase?
Answer:
[tex]2 \: jeans = 2{(4x - 5)} \\ = 8x - 10 \\ balance = (10x + 7) - (8x - 10) \\ = (10 - 8)x + (7 + 10) \\ 2x + 17 \: dollars[/tex]
A store sells small and large TV sets in the ratio 2:3.The total stock is 70 sets.1)How many small and large sets are in stock? 2)If the number of large sets is increased by 8 ,what is the new ratio of small to big
Answer: a) There are 28 small TV sets and 42 big TV sets
b) new Ratio of small and large TV set= 28:50
Step-by-step explanation:
Total stock of large and small TV=70
Ratio of small and large TV set=2:3
a) Total ratio=2+3=5
Small set=2/5 x 70= 28 small TV sets
Big set=3/5 x 70 = 42 big TV sets
b)f the number of large sets is increased by 8 then
Big set TV = 42 + 8=50
new Ratio of small and large TV set= 28:50
12 is what percentige of 48
Answer:
25%
Step-by-step explanation:
100% = 48
1% = 48 ÷ 100 = 0.48
12 ÷ 0.48 = 25%
Answer:
25%
Step-by-step explanation:
12/48 is simplified to 1/4 or .25 and to get a percent just move the decimal over to the right twice then you'll get 25%
Mary bought a desk on sale for 88.40. This price was 74% less than the original price.
What was the original price?
Answer:
p = $340
Step-by-step explanation:
Let p represent the original price. Then the amount Mary paid was (100% - 74%) of the original price: 0.26p = $88.40.
Solving for p: p = $340
Check: what is 74% of $340? $251.60. Subtracting this from $340, we get $88.40. This agrees with the problem statement.
Q4. The sum of three consecutive odd numbers is 51 Find the numbers: (2)
______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Answer:
15,17,19
Step-by-step explanation:
Here's your solution
=> let the first number be x
=> then second and third number will be
(x + 2) and (x + 4)
=> now it's given that sum is 51
=> so, x + (x + 2) + (x + 4) = 51
=> 3x + 6 = 51
=> 3x = 51 - 6
=> 3x = 45
=> x = 45/3
=> x = 15
hence ,the following number are , 15,17,19
hope it helps
Task 4 Task 다. Given: m
Answer:
where the choices?
Step-by-step explanation:
At a collector's fair, Jason sold six sports cards at $56 each and bought eight sports cards at $43 each. What was Jason's net profit and loss?
(Order of Operations and integers)
Answer:
He lost $8
Step-by-step explanation:
sold 6 x $56 = $336
bought 8 x $43 = $344
344 - 336 = $8
Tickets to the movies cost $9.50 for adults and $6.50 for kids. A large group bought 12 tickets and spent a total of $87. How many kid's tickets did the group purchase?
Please include an equation.
Answer:
12 ticketsStep-by-step explanation:
please brainleist please tysm☺️☺️☺️☺️☺️
Answer:
9 kid's ticketsStep-by-step explanation:
Given
Kid's tickets = k, one ticket costs $6.5, total cost 6.5kAdult tickets = a, one ticket costs $9.5, total cost 9.5aEquations:
a + k = 129.5a + 6.5k = 87Substitute a into second equation a = 12 - k and solve for k:
9.5(12 - k) + 6.5k = 87114 - 9.5k + 6.5k = 873k = 114 - 873k = 27k = 9PLEASE HELP I WILL MARK BRAINLIEST!! Have a great day :)
Answer:
Down below
Step-by-step explanation:
$5 a box
x is the number of boxes sold
must have More than $350
[tex]5x>350[/tex]
the $5 will be multiplied by the number of boxes to get the total amount of money made.
your answer is C
3. To pay back a loan, Lauren makes 7 payments, each in the same amount. Her cousin Hilary made 5 payments, each in the same amount. Each of Hilary’s payments was $15 more than each payment Lauren made. Both cousins paid the same amount in the end. How much did each cousin pay each time?
(a) Write an equation. Let x represent the amount of one of Lauren’s payments.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
Answer:
The answer is C
Step-by-step explanation:
Write an equation of a line that is parallel to the line y
4x +3
Answer:
[tex]y=4x+4[/tex]
Step-by-step explanation:
There are infinite answers
All you have to do is changed the last number 3, to any real number greater or less than 3
A 50,000 investment earns 18 percent annually. If b represents the balance and t represents the number of years
Answer: B = 50,000 * 1.18^t
Step-by-step explanation:
This requires the use of the Future Value formula.
Future value = Amount invested + ( 1 + rate) ^ number of years invested
Future value = B in this scenario.
t = number of years.
When putting in figures therefore, the formula becomes:
B = 50,000 * ( 1 + 18%) ^ t
B = 50,000 * 1.18^t
Simplify y+4+3(4y+2) and 6b+3b+5
Answer:
9b+5
Step-by-step explanation:
Simplification = 6b+3b+5
9b+5
Answer:
13y+10 and 9b+5
Step-by-step explanation:
1.Let's simplify step-by-step.
y+4+3(4y+2)
Distribute:
=y+4+(3)(4y)+(3)(2)
=y+4+12y+6
Combine Like Terms:
=y+4+12y+6
=(y+12y)+(4+6)
=13y+10
2. Let's simplify step-by-step.
6b+3b+5
Combine Like Terms:
=6b+3b+5
=(6b+3b)+(5)
=9b+5
Help 10 pts!
Marcus has 10 gumballs in a bowl. There are 7 yellow gumballs, 1 red gumball, and the rest are blue. Without looking, he grabs one
gumball, puts it back, and then grabs another gumball.
What is the probability that both gumballs he grabs are yellow?
Answer:
49/100
Just took the quiz
A metal pipe is 1.75 meters long. Josh wants to make a scale drawing of the pipe. The scale factor for his drawing will be 1/25. What will be the length, in centimeters, of the metal pipe in his drawing
Answer:
sagutan mo yan module mo yan wag kang umasa sa brainly