Answer:
-439
Step-by-step explanation:
Think of the question as s(f(-7))
First replace x with -7 in the equation f(x)= 3x
s(-7) = 3*(-7)
s(-7) = -21
now it is s(-21)
we substitute -21 into the s(x) equation to get [tex]2-(-21)^2[/tex]
That gives you 2-441 = -439
2. Given the graph, which of the statements in function notation represent the situation?
a f(-1) = 4
b. f(-4) = -1
C. f(4) >
y = f(x)
d. f(x) = -4 when x is -1
e. f(x) = -1 when x is -4
f. f(2)=f(6)
g. f(0) = -2
h. f(-2) = 0.
Answer:
[tex] \rule{40pt}{99999pt}[/tex][tex] \rule{40pt}{99999pt}[/tex]
Answer:
D , F and G
Step-by-step explanation:
D, F and G are true in this case
Which of the following ordered pairs are solutions to the system of
inequalities? Check all that apply.
2x < y
y>7
O A. (8,2)
O B. (0,0)
O C. (5,5)
O D. (1,9)
O E. (17,50)
OF. (-1, 10)
Answer:
Options D, E, F
Step-by-step explanation:
Given the following system of linear inequalities in two variables:
[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
We can substitute the given ordered pairs to see whether they satisfy both linear inequalities.
Option A: (8, 2)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(8) < 2
⇒ 16 < 2 (False statement).
y > 7
⇒ 2 > 7 (False statement).
⇒ (8, 2) is not a solution to the system.
Option B: (0, 0)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(0) < 2
⇒ 0 < 2 (True statement).
y > 7
⇒ 0 > 7 (False statement).
⇒ (0, 0) is not a solution to the system.
Option C: (5, 5)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(5) < 5
⇒ 10 < 2 (False statement).
y > 7
⇒ 5 > 7 (False statement).
⇒ (5, 5) is not a solution to the system.
Option D: (1, 9)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(1) < 9
⇒ 2 < 9 (True statement).
y > 7
⇒ 9 > 7 (True statement).
⇒ (1, 9) is a solution to the system.
Option E: (17, 50)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(17) < 50
⇒ 34 < 50 (True statement).
y > 7
⇒ 50 > 7 (True statement).
⇒ (17, 50) is also a solution to the system.
Option F: (-1, 10)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(-1) < 10
⇒ -2 < 10 (True statement).
y > 7
⇒ 10 > 7 (True statement).
⇒ (-1, 10) is also a solution to the system.
Final Answer:Therefore, Options D, E, and F are the solutions to the given system of linear inequalities.
___________________________Keywords:Linear Inequalities in two variables
System of linear inequalities
________________________________
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The cost of a digital camera is $389.99. If Radio Shack offers a 25% discount and the tax is 6%, what is the final cost of the camera?
Answer:
$310.04
Step-by-step explanation:
you do 389.99 time .75 then you do the number you get from there times 1.06 to get your answer.
Please help me out answering this
Answer:
OPTION A
Step-by-step explanation:
we start by multiplying both roots.
we then get negative 3 times the third root of: 40 × x^9 × y^3
we then simplify to get:
-24 × x^3 × y × third root of 5
[tex]\\ \rm\Rrightarrow -\sqrt[3]{2x^4y^2}\times 3\sqrt[3]{20x^5y}[/tex]
√a√b=√ab[tex]\\ \rm\Rrightarrow -3\sqrt{40x^9y^3}[/tex]
On simplifying[tex]\\ \rm\Rrightarrow -3(6x^3y\sqrt[3]{5}[/tex]
[tex]\\ \rm\Rrightarrow -24x^3y\sqrt[3]{5}[/tex]
What is the standard deviation of the population: Use the stdevp function in the Desmos graphing calculator.
3.52
8.6
4.8
10.1
The standard deviation of the given data is 3.5
How to calculate the standard deviation of data?Standard deviation is used to determine the rate of dispersion of data with respect to the mean.
The formula for calculating the standard deviation of data is given as:
[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{n-1} }[/tex]
Given the data below:
10.4, 10.3, 11.7, 11.1, 8, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5
Using the stdevp calculator the standard deviation is calculated as:
σ = √12.405
σ = 3.5
Hence the standard deviation of the given data is 3.5
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Muna claims that the expression (8)(16) + (8)(12) + (16)(12) represents the
surface area, in square inches, of the right rectangular prism shown. Is Muna
correct? Explain.
The surface area of a right rectangular prism is the amount of space on it.
Muna's claim is incorrect
How to determine the surface area?
The surface area of a right rectangular prism is calculated as:
A = 2 * (lw + lh + wh)
So, we have:
A = 2 * (8 * 16 + 8 * 12 + 16 * 12)
The above expression implies that Muna's claim is incorrect
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another object has a mass of 360 g and a density of 9 g/cm3 what is the volume of the object
Answer:
40 square centimeters
Step-by-step explanation:
so if the density is 9 grams per square centimeter (for every 9 grams, there is 1 square centimeter):
360/9=40
40 cm squared
20 characters or more
It yields a straight line almost
(1,1)(3,2)Slope:-
m=2-1/3-1m=1/2But it's not accurate and somehow wrong as it's exponential and our slope must be in log form
But thing we get that slope is positive so association is positive
Option BAnswer:
b) Since the y-values increase as the x-values increase, the scatter plot shows a positive association.
Step-by-step explanation:
In a scatter plot:
The explanatory (independent) variable is along the x-axisThe response (dependent) variable is along the y-axisCorrelation measures how closely two variables are linked.
Positive correlation: response variable increases as the explanatory variable increasesNegative correlation: response variable decreases as the explanatory variable increasesThe given scatter plot shows the y-variable increasing as the x-variable increases. Therefore, this shows a positive correlation.
Therefore, the solution is:
b) Since the y-values increase as the x-values increase, the scatter plot shows a positive association.
Please help! I will give Brainliest!!!
Here are 3 receipts for meals at the same restaurant. Fill in the missing values for each recipe.
Answer:
Burger: 9.00
18%tip: 2.16
total with tip: 14.16
Salad: 8.00
Tatal: 11.00
Total with tip: 12.00
Water: 1.19
total: 9.19
18% tip: 2.02
Step-by-step explanation:
I am unsure of the salad pretty sure it's 8 dollars but I am unsure
I've attached my written workings :)
The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population? Sample size Average height (Inches) 10 63 20 54 30 57 40 59 O A. 54 B. 63 C. 59 O D. 57
Answer:
59
Step-by-step explanation:
I answered got it wrong and found the answer
The height 59 inches in most likely closest to the average height of the population.
The correct answer is an option (C)
What is average?
"It is the ratio of the sum of all given observations to the total number of observations. "
For given question,
We have been given the average heights of four samples taken from a population of students.
The mean(average) of the average height of the population would be,
[tex]\bar{X}=\frac{63+54+57+59}{4}\\\\ \bar{X}=58.25\\\\\bar{X}\approx 59[/tex]
Therefore, the height 59 inches in most likely closest to the average height of the population.
The correct answer is an option (C)
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Given the function F(x) = 2x2 - 6, find the value F(-1).
Answer:
-4Step-by-step explanation:
Given
F(x) = 2x² - 6We are asked to find F(-1).
This can be done by substituting -1 in place of x in the function.
F(-1) = 2(-1)² - 6F(-1) = 2(1) - 6F(-1) = 2 - 6F(-1) = -4What is the area?????
1/2 h×b
1/2 (10×14)
1/2 (140)
70m²
hope it helps...!!!
In 2021, a married couple earned combined wages of $150,000. They have no children but made $18,000 of pre-tax 401(k) contributions. They will claim the standard deduction. Their state allows an exemption of $1000 per person for a total deduction of $2000. Their state tax is a flat rate of 5%. a. Estimate the amounts of Federal and State taxes they will owe.
The amounts of Federal and State taxes that the couple will owe will be $25100 and $7500 respectively.
What is a tax?A tax simply means a compulsory levy that's paid to the government by individuals and businesses.
In this case, the standard deduction for married couples that are filing jointly is $25100. Also, the state tax will be:
= 5% × $150000
= 0.05 × $150000
= $7500
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he following diagram, the ship is anchored to the ocean floor. The length of the rope attaching the
o the boat is 30m. The angle of elevation from the anchor to the ship is 39 degrees. Determine, to th
meter, the distance from the ship to the ocean floor
Determine, to the nearest meter, the distance o
rom the anchor to where the boat is perpendicular to ground.
The distance between the boat and the ocean's floor is 19m
How to get the distance from the ship to the ocean's floor?
We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.
We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).
Then we use the relation:
Sin(a) = (opposite cathetus)/(hypotenuse).
Replacing the values that we know, we get:
Sin(39°) = d/30m
sin(39°)*30m = d = 18.9m ≈ 19m
The distance between the boat and the ocean's floor is 19m.
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5. 7.NS.1.2
Express the following fraction as a decimal.
11
25
etib all
bolo
Answer:
0.44 is the correct answer
Answer:
.44
Step-by-step explanation:
11/25
Multiply the top and bottom by 4
11*4
-------
25*4
44
-----
100
The decimal is .44
A container manufacturer plans to make rectangular boxes whose bottom and top measure 4x by 3x. The container must contain 48in.3 The top and the bottom will cost $1.80 per square inch, while the four sides will cost $3.70 per square inch.
What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth.
The height of the container that will be able to minimize the cost will be 3.08cm.
How to calculate the height?The volume of the box will be:
= (3x)(4x)h
= 12x²h
From the information given, we are told that the container must contain 48in³. Therefore,
48 = 12x²h
h = 4/x²
The function cost will be:
= 3.50(2)(12x²) + 4.40(14x)h
= 84x² + 61.6x(4/x²)
= 84x² + 246.4/x
We'll use the first derivative. This will be:
dC/dx = 168x - 246.4/x²
x = 1.14.
Therefore, the height will be:
h = 4/x² = 4/1.14² = 3.08cm
In conclusion, the height is 3.08cm.
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Friends have a party. Joyce invited 17 friends to a dinner party at her house last Friday
evening. She gave each guest a card with a number from 2 through 18, reserving the
number 1 for herself. When she had everyone paired off at the dinner table, she noticed
that the sum of each couples' number was a perfect square. What number did Joyce's
partner have?
Answer:
15
Step-by-step explanation:
Joyce reserved number 1 for herself
Of all the possible combinations,
1 and 15 is a perfect match for a perfect square
So,Joyce dinner partner was number 15.
PLEASE ANSWER I HAVE 5 MINS!! WILL MARK BRAINLIEST IF CORRECT
Answer: 49.2 or 49[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The formula for surface area of a rectangular prism is [tex]2(wl+hl+hw)[/tex]
Where
w is width (5 for this)
l is length ([tex]1\frac{1}{5}[/tex] for this)
h is height (3 for this)
Now lets sub in the values and solve
[tex]2(wl+hl+hw)\\2[(5)(1\frac{1}{5}) +(3)(1\frac{1}{5})+(3)(5)]\\2[6+3.6+15]\\2[9.6+15]\\2[24.6]\\49.2[/tex]
answer: 49.2
step-by-step :
the width is 5
the length is 1 1/5
the height is 3
Mr. Gray’s quiz was normally distributed with a mean of 25 and a standard deviation of 10 find z- scores for each of the following.
(a) 40 (b) 27 (c) 6
Which value makes the equation 3x - 6 = 36 true?
A.) 10
B.)12
C.) 14
D.) 16
Answer:
C) 14
Step-by-step explanation:
3x-6=36
3x=36+6
3x=42
x=42/3
x=14
8
Write an equation to show
the smallest number of
train cars needed to carry
600 passengers if each
car can carry 48
passengers.
Answer:
13 train cars.
Step-by-step explanation:
Let x = number of trains
[tex]x = \frac{600passengers}{48passengers/car} \\\\x = 12.5cars[/tex]
But we can't have 0.5 of a train...
x ≈ 13cars
Read the excerpt from a speech that British Prime Minister Winston Churchill made shortly after Japan bombed Pearl Harbor. What is Churchill’s intention with this part of the speech.
Answer: B
Step-by-step explanation: Churchill reminds the world that there is still a war, and still many people suffering. But he hopes that they can set aside their evil ways, and celebrate Christmas.
The value of Σfd is 250, A= 25, number of observations are 12 and width of class interval is 6 then arithmetic mean is
Such sentences that convey strong emotion or excitement are called an exclamatory sentence.
The given sentence is an assertive sentence which shows sadness. Use exclamatory mark to change assertive into an exclamatory sentence.
What is the answer to 5 + 2/5?? Please help!!!
Answer:
The answer is 12/5.
Step-by-step explanation:
5 + 2/5=
10/5 + 2/5=
12/5
Althea recorded the amount she earned from T-Shirt sales each day for 14 days. She organized the data into the frequency table shown. Write a problem that can be answered by using the frequency table.
A problem that can be solved using the frequency table is "what is the total amount earned for the 14 days of the sale?".
What is a frequency table?A frequency table is used to display the frequencies of different outcomes in a sample.
Looking at the frequency table, total amount earned can be determinined by adding the multiplication in the third column together.
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simplify～
[tex]\bold{54x + 16 \div 2 - 33(5 + 5)}[/tex]
thankyou～
54x+16÷2−33(5+5)
54x+16÷2-33×10
54x+8-33×10
54x+8-330
54x-322
54x=322
x=322/54
x=5.96
x=6(round fig)
hope it helps...!!!
[tex] \huge \mathbb \green{HEY \: THERE}[/tex]
[tex]54x + 16 \div 2 - 33(5 + 5) \\ \\ = 54x + 16 \div 2 - 33 \times 10 \\ \\ = 54x + 8 - 330 \\ \\ = 54x - 322 = 0 \\ \\ \implies 54x = 322 \\ \\ \implies \: x = \frac{322}{54} \\ \\ \implies x = 5.96[/tex]
[tex] \huge \mathbb \green{HOPE \: IT \: HELPS}[/tex]
Given a right triangle Solve for C if a=3 and b=4=3 and b=4
What is the slope of the line y=4x – 6?
A.1/4
B.-6
C.4
D.6
Answer:
C. 4
Step-by-step explanation:
the slope is always the factor of x.
Prove that y=sin(x) then dy/dx=cos(x)
Step-by-step explanation:
You will have to use the limit defition of the derivative. Brainly does not have calculus symbols, which is very unfortunate, so I can only use my words. Take the limit as the change in 'x' approaches zero. You will have:
[tex] \frac{sin(x + {x}^{.} ) - sin(x)}{ {x}^{.} } [/tex]
If you let "x dot" equal zero as the limit requires, you will get 0/0 which is indeterminate. Break up the first term using the formula for the sine of a sum. You get:
[tex] \frac{sin(x)cos( {x}^{.} ) + sin( {x}^{.})cos(x) - sin(x) }{ {x}^{.} } [/tex]
Factor a sin(x) from the first and third term to get:
[tex] \frac{sin(x)(cos( {x}^{.}) - 1 ) + sin( {x}^{.})cos(x) }{ {x}^{.} } [/tex]
Use the linearity to break the limit into two parts:
[tex] \frac{sin(x)(cos( {x}^{.}) - 1 )}{ {x}^{.} } + \frac{sin( {x}^{.} )cos(x)}{ {x}^{.} } [/tex]
First term converges to zero, second term converges to cosine. Therefore proving the derivative of sine is cosine
A ski resort report it 53.9 inches of snow in November 7 3.75 inches of snow in December and 95.8 inches of snow in January what is the average amount of snow that fell for three months
Answer:
74.483
Step-by-step explanation:
to get the mean, or the average. you add up all the numbers and divide them by how many there are.
53.9 + 73.75 + 95.8 = 223.45 ÷ 3 = 74.483