Answer:
Part A: No it is not a function
Part B: The equation
Part C: x = 3
Step-by-step explanation:
Part A - The table:
Input (x) Output (y)
6 14
12 15
15 15
25 16
This is a function because it has no repeating inputs values which have alternate outputs. Each input is assigned exactly one output.
Part B - The relation y = 7x - 15 has the value y = 27 when x = 6. You can find it by substituting into the equation.
y = 7(6) -15
y = 42 - 15
y = 27
The value of the relation in the table when x = 6 is y = 14. The equation has the greater value.
Part C: To find when y = 6, set it equal to 6 and solve for x.
6 = 7x - 15
21 = 7x
3 = x
Answer:
Part A: No it is not a function
Part B: The equation
Part C: x = 3
Step-by-step explanation:
What is (y^6)^-2?
2y^12
y^12
y^8
y^36
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (y^6)^{-2}\implies y^{-2\cdot 6}\implies y^{-12}\implies \cfrac{1}{y^{12}}[/tex]
if x=3 calculate the value of
x3+x
and if X=-3 calculate the value of X3+3
Answer:
if X =3 then X would be equal to 12
Step-by-step explanation:
x3+x
put x=3
(3)3+3
9+3
12
Answer:
Step-by-step explanation:
[tex]x=3 \\3(x)+x\\3(3)+3\\9 +3\\= 12\\ X= - 3 \\ 3(x)+x\\3(-3)+(-3)\\-9-3\\= -12[/tex]
What is the perimeter of the triangle shown on the coordinate plan to the nearest tenth of a unit? Please help me. I don’t think my answer is correct.
the perimeter of the triangle shown on the coordinate plane to the nearest tenth of a unit is 21 units. Therefore, option c is the correct answer.
To find the perimeter of the triangle shown on the coordinate plane, we need to calculate the lengths of each side and then add them together.
Step 1: Calculate the length of the first side.
Using the distance formula, the length of the side connecting (-3, 3) and (3, -3) is:
√[(3 - (-3))^2 + (-3 - 3)^2] = √[6^2 + (-6)^2] = √[36 + 36] = √72.
Step 2: Calculate the length of the second side.
Using the distance formula, the length of the side connecting (3, -3) and (3, 3.5) is:
√[(3 - 3)^2 + (3.5 - (-3))^2] = √[0^2 + 6.5^2] = √[0 + 42.25] = √42.25.
Step 3: Calculate the length of the third side.
Using the distance formula, the length of the side connecting (3, 3.5) and (-3, 3) is:
√[(-3 - 3)^2 + (3 - 3.5)^2] = √[-6^2 + (-0.5)^2] = √[36 + 0.25] = √36.25.
Step 4: Calculate the perimeter by adding the lengths of the sides.
Perimeter = √72 + √42.25 + √36.25.
Now we can simplify the answer to the nearest tenth:
Perimeter ≈ 8.5 + 6.5 + 6 = 21.
Therefore, the perimeter of the triangle shown on the coordinate plane to the nearest tenth of a unit is 21 units.
Therefore, option c is the correct answer.
math question,, will reward 10 points :)
Answer
B=36.
Explanation
L.s.f=linear scale factor.
A.s.f=area scale factor.
L.s.f=length of prism 1/length of prism 2
L.s.f=3/8.
let area or prism 1=x
A.s.f=(L.s.f)^2
A.s.f=(3/8)^2
=9/64
9/64=x/256
x=(9×256)÷64
=36.
A bag contains 5 white marbles and 5 blue marbles. You randomly select one marble from the bag and put it back. Then, you randomly select another marble from the bag. Which calculation proves that randomly selecting a white marble the first time and a blue marble the second time are two independent events?
1/5 this shows that each can be picked up at Least 1/5 or 2/10
P(A and B) =
1
2
·
1
2
Two events A and B are independent if the probability of A and B occurring together is the product of their probabilities,
P(A and B) =
1
2
·
1
2
P(red, blue) =
1
2
·
1
2
1
4
=
1
2
·
1
2
If A ⊂ B, then A ∩ B = A ∪ B.
always
sometimes
never
Answer: Third option.
Step-by-step explanation:
A ⊂ B this means that A is subset of B.
If A is subset of B (A ⊂ B), then all the elements of A belong to the subset B.
For example, the set of the Natural numbers is a subset of the Real Numbers.
Then, A ∩ B are all the elements that belong to AB at the same time.
A ∪ B are all the elements of A and all the elements of B.
But if we already said that A is inside of B, then:
A ∩ B = A ≠ A ∪ B
A ∩ B = A ∪ B only happen when the set A=set B.
Therefore, the answer is: NEVER.
This scale factor is a ____.
Answer:
I would believe the scale factor to be 1.5:6!
Julie can type 3 pages in x minutes. How many minutes will it take her to type 11 pages?
a. 33x
b. 3/ 11x
c. 11/ 3x
d. 3x/ 11
e. 11x /3
Julie can type 3 pages in x minutes; to find the time to type 11 pages, set up a proportion and solve, resulting in 11x/3 minutes.
Explanation:Since Julie can type 3 pages in x minutes, the rate at which Julie types is 3 pages per x minutes. If we want to find out how many minutes it will take her to type 11 pages, we simply set up a proportion based on her typing rate:
3 pages / x minutes = 11 pages / y minutes
To solve for y, which is the time it will take to type 11 pages, we cross-multiply and get:
3y = 11x
Then, we divide both sides of the equation by 3, yielding:
y = 11x / 3
The answer is option (e): 11x / 3.
What is the sum of the measures of angle E, angle D, and angle ECD? A.76 B.104 C.128 D.180
Answer:
serious??? D-180
Step-by-step explanation:
Which expression is equal to 3x?
that's too easy question anyway thanks for giving me points.
it's x+x+x
Answer:
B. [tex]x+x+x[/tex]
Step-by-step explanation:
We are asked to find the equivalent expression to [tex]3x[/tex].
Our given expression stands for 3 times x. This means x is multiplied by 3 or we can say that x is added to itself 3 times.
We can rewrite [tex]3x[/tex] as [tex]x+x+x[/tex].
Upon looking at our given choices, we can see that only option B is the correct choice.
155% of what number is 44?
Answer:
28.4
Step-by-step explanation:
Translate the statement into an equation, and then solve the equation.
Let x be the number we are looking for.
155% of what number is 44?
155% of x is 44
In math "of" usually means multiplication.
155% * x = 44
To change a percent to a decimal, divide by 100 which means move the decimal point 2 places left. 155% = 155/100 = 1.55
1.55x = 44
Divide both sides by 1.55 to solve for x.
1.55x/1.55 = 44/1.55
x = 28.4
Answer: 28.4 (rounded to the nearest tenth)
Write the fractions as mixed number. Answers please for each
Answer:
32/5 = 6 2/5
19/3 = 6 1/3
15/4 = 3 3/4
51/10 = 5 1/10
Step-by-step explanation:
Divide the top number and the bottom number. Example: 32 divided by 5 = 6 R2. Put the 5 under the 2. 2/5. So the total is 6 2/5.
Write 5/3 as a mixed number in simplest form.
Step-by-step explanation:
[tex]\dfrac{5}{3}=\dfrac{3+2}{3}=\dfrac{3}{3}+\dfrac{2}{3}=1\dfrac{2}{3}[/tex]
please help me asap!
Answer:
[tex]\frac{7x + 7}{(x-3)(x+4)}[/tex]
Excluded values are 3 and -4
Step-by-step explanation:
To simplify the expression multiply to create a common denominator.
Multiply the first fraction by (x-3) and the second fraction by (x+4).
[tex]\frac{3}{x+4} + \frac{4}{x-3}\\\\\frac{3(x-3)}{(x+4)(x-3)} + \frac{4(x+4)}{(x-3)(x+4)}[/tex]
[tex]\frac{3(x-3)}{(x+4)(x-3)} + \frac{4(x+4)}{(x-3)(x+4)} \\\\\frac{3(x-3) + 4(x+4)}{(x-3)(x+4)}\\\\\frac{3x - 9 + 4x + 16}{(x-3)(x+4)}\\\\\frac{7x + 7}{(x-3)(x+4)}[/tex]
Excluded values are values which make the denominator 0. This means (x-3)(x+4) cannot be 0. This means x cannot be 3 or -4. These are excluded values.
translating verbal sentences: 16 decreased by a number is 27
Help??????? It’s precal
what does precal mean I don't understand
Plz help!! Needed to graduate in May
simplify √3(2)√2
=2√6(
Answer:
2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{3}[/tex] × 2[tex]\sqrt{2}[/tex]
= 2 × [tex]\sqrt{3(2)}[/tex] = 2[tex]\sqrt{6}[/tex]
Write 0.600 in word form
Final answer:
0.600 written in word form is 'six hundred thousandths'. This is based on identifying the place value of the last digit and expressing the number as a fraction of that place value.
Explanation:
The number 0.600 written in word form is six hundred thousandths.
Here's a step-by-step guide on how to express the decimal in words:
Identify the place value of the last digit, which in this case is the tenths place.Express the number as a fraction of that place value (600/1000).Convert the fraction to its simplest form if necessary, which is not required in this case.Finally, write out the number in words based on the identified place value: six hundred thousandths.3 ½ – 2 ⅓
Give your answer as a improper fraction
❣ R̾e̾f̾e̾r̾ t̾h̾e̾ a̾t̾t̾a̾c̾h̾m̾e̾n̾t̾.... ❣
☺.. h̾o̾p̾e̾ i̾t̾ h̾e̾l̾p̾s̾ y̾o̾u̾.. ☺
first change them into improper fractions
(2×3)+1/2 -->7/2
(3×1)+1/2--> 7/3
7/2-7/3 now find the least common denominator (lcd) it is 6
2 goes into 6, 3 times,7×3 =21--> 21/6
3 goes into 6, 2 times, 7×2=14 --> 14/6
21/6-14/6=7/6
The function y = -2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x ist the price of a hot dog (in dollars). Find and interpret the zeros of this function
Answer:
Option A The zeros are the hot dog prices that give $0.00 profit (no profit)
Option C. Zeros at [tex]x=3(+/-)\sqrt{2}[/tex]
Step-by-step explanation:
we know that
The zeros of the function are the values of x when the value of y is equal to zero
In this problem
The zeros of the function are the price of a hot dog (in dollars) when the daily profit (in hundreds of dollars) of a hot dog stand are zero
we have
[tex]y=-2(x-3)^{2}+4[/tex]
Find the zeros
equate the equation to zero
[tex]0=-2(x-3)^{2}+4[/tex]
[tex]2(x-3)^{2}=4[/tex]
[tex](x-3)^{2}=2[/tex]
square root both sides
[tex]x-3=(+/-)\sqrt{2}[/tex]
[tex]x=3(+/-)\sqrt{2}[/tex]
Answer:
Option A The zeros are the hot dog prices that give $0.00 profit (no profit)
Option C. Zeros at
Step-by-step explanation:
Compare the algebraically expressed function f(x) = - 5 2 x2 - 8x to the function shown in the graph to determine which statement is true. A) The algebraic function has a greater maximum value. B) The algebraic function has a lower minimum value. C) The graphed function has a greater maximum value. D) The graphed function has a lower minimum value.
After evaluating the given information about the algebraic and graphed functions, we can conclude that the algebraic function f(x) = -5x^2 - 8x, which is a downward-opening parabola, has a greater maximum value than the graphed function in question. Therefore, the correct answer is option A.
Explanation:To compare the algebraically expressed function f(x) = -5x^2 - 8x with a given graphed function, we need to look at their respective shapes and key features. Since f(x) is a quadratic function with a negative coefficient for the x^2 term, it is a downward-opening parabola that will have a maximum value. Without more information about the graphed function, we can still analyze the given description to ascertain its nature.
Based on the given statements, let's identify which function has a greater maximum or a lower minimum value:
A graphed function represented as a horizontal line from x = 0 to x = 20 implies a constant function with the same value across this interval, and therefore it cannot have a greater maximum or lower minimum value than any other function.Option 75 suggests a function with a positive value and positive slope decreasing with increasing x which would not have a maximum value given it's continuously increasing.The given declining curve with a positive value at x = 0 indicates a decaying exponential function. Its maximum value is at x = 0 since the function is decreasing as x increases, making statement B an appropriate comparison.Lines that are increasing or decreasing in steepness don't provide clear information about their maximums or minimums without additional context.In conclusion, given that f(x) = -5x^2 - 8x is a downward-opening parabola with a definite maximum value, and none of the provided statements about the graphed function suggest it has a maximum value higher than a constant value or a parabola, we can conclude that:
The algebraic function has a greater maximum value, so the correct answer would be option A.
The graphed function has a greater maximum value. The algebraic function's downward-opening parabola indicates a maximum value, and the graphed function's characteristics suggest it may have a higher maximum (option c).
Explanation:To determine the maximum values of the algebraic function [tex]\(f(x) = -\frac{5}{2}x^2 - 8x\)[/tex] and the graphed function, we need to analyze the coefficient of the quadratic term in the algebraic expression. The quadratic term is [tex]\(-\frac{5}{2}x^2\)[/tex], and since the leading coefficient is negative, the parabola opens downwards. This means that the algebraic function has a maximum value, and the coefficient [tex]\(-\frac{5}{2}\)[/tex] determines the concavity.
Comparatively, the graphed function on the graph may have a different leading coefficient, affecting the concavity. If the graphed function has a positive leading coefficient, it opens upwards, suggesting a minimum value. Conversely, if it has a negative leading coefficient, it opens downwards, indicating a maximum value (option c).
In the case of the given options, statement C is correct. The graphed function has a greater maximum value because the leading coefficient of the quadratic term in the algebraic function is negative, resulting in a downward-opening parabola with a maximum point. Therefore, the graphed function, depending on its characteristics, may exhibit a greater maximum value.
The complete question of the given answer is:
Compare the algebraically expressed function [tex]\(f(x) = -\frac{5}{2}x^2 - 8x\)[/tex] to the function shown in the graph to determine which statement is true.
A) The algebraic function has a greater maximum value.
B) The algebraic function has a lower minimum value.
C) The graphed function has a greater maximum value.
D) The graphed function has a lower minimum value."
28 Points! Help!!! AsAP
Answer:
I believe your answer is 7
Step-by-step explanation:
When dividing numbers with exponents, you subtract the exponents.
11 - ? = 4
The missing exponent is 7.
Which sides are congruent? What is the correct answers choice(s)
I think the answer is B and C
Answer: fr and nr, rc and ro, no and nm
Step-by-step explanation: you just have to look at each of the lines and see if they are equal or not i hope this helps :))
What are the solution(s) to the quadratic equation 40 − x2 = 0? x = ±2 x = ±4 x = ±2 x = ±4
Answer: [tex]x=\±2\sqrt{10}[/tex]
Step-by-step explanation:
To find the solutions of the quadratic equation given in the problem, you can apply the proccedure shown below:
- Subtract 40 from both sides of the equation.
- Multiply both sides of the equation by -1
- Apply square root to both sides of the equation.
Therefore, by applyin the steps above, you obtain:
[tex]40-x^2-40=0-40\\-x^2=-40\\(-1)(-x^2)=(-40)(-1)\\\\x^2=40\\\\\sqrt{x^2}=\±\sqrt{40}\\\\x=\±2\sqrt{10}[/tex]
Answer:
answer=a edg 2020
Step-by-step explanation:
WILL MARK BRAINEST!! Determine whether the graphs of the given equations are parallel, perpendicular or neither
y=x+9
y=-x+1
The answer is they are perpendicular
The mean of the temperatures in the chart is 24° with a standard deviation of 4°. Which temperature is within one standard deviation of the mean? 18° 19° 22° 30°
Answer:
22°
Step-by-step explanation:
If the mean is m and the standard deviation is s, then we can say that the temperatures that fall within 1 standard deviation of the mean will be:
m - s < temperatures < m + s
To we take the sum of mean and standard deviation: 24 + 4 = 28
and, the different of mean and standard deviation: 24 - 4 = 20
So, the temperature that is in between 20 and 28 is the temperature within 1 standard deviation of the mean.
This is the third answer, 22°
Answer:
The answer is C, 22
Step-by-step explanation:
I just took the test
The symbol > is always read from left to right, and it means ___ than.
Answer:The symbol means greater than
Step-by-step explanation:
Answer:
The symbol '>' is always read from left to right, and it means greater than.
Step-by-step explanation:
In mathematics, such relationships between the two expressions which are not equal to one another are said to be inequalities.
To express these inequalities, certain symbols are used which include the following ones:
<, >, ≤, ≥ and ≠
All these symbol are always read from the left side towards the right side and the symbol '>' means greater than.
Pocket money is split between Paula, Alan and Henry in the ratio 7:3:2. Alan gets £3.75.
How much do the others get?
How much altogether?
➷ Writing it out like this will help:
7 : 3 : 2
? : 3.75 : ?
So, 3.75 is 3 parts as per this ratio
Divide this amount by 3 to get 1 part in the ratio
3.75 / 3 = 1.25
Now simply multiply all the other ratios by this value to find how much the others get:
1.25 x 7 = 8.75
1.25 x 2 = 2.5
Paula gets £8.75 and Henry gets £2.50
The amount altogether would be their individual amounts added together:
8.75 + 2.50 + 3.75 = 15
The total amount of money is £15.
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Which sequences are arithmetic? Check all that apply.
1. –5, 5, –5, 5, –5, …
2. 96, 48, 24, 12, 6
3. 18, 5.5, –7, –19.5, –32, …
4. –1, –3, –9, –27, –81, …
5. 16, 32, 48, 64, 80
-5,5,-5,5,-5,5,-5,5,-5
ANSWER
3. 18, 5.5, –7, –19.5, –32, …
and
5. 16, 32, 48, 64, 80
EXPLANATION
An arithmetic sequence has a constant difference.
1. –5, 5, –5, 5, –5, … is not an arithmetic sequence because 5--5≠ -5-5
2. 96, 48, 24, 12, 6 is not an arithmetic sequence because 48-96≠ 24-48
3. 18, 5.5, –7, –19.5, –32, … is an arithmetic sequence because there is a constant difference of
[tex]5.5 - 18 = - 12.5[/tex]
4. –1, –3, –9, –27, –81, … is not an arithmetic sequence because
[tex] - 3 - - 1 = - 9 - - 3[/tex]
5. 16, 32, 48, 64, 80 is also an arithmetic sequence because
[tex]32 - 16 = 48 - 32[/tex]
A fish is swimming at a constant rate toward the ocean floor. The equation y=-7x-3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Which statement best describes the depth of the fish, given this equation?
A} from starting position of 7 meters below sea level, the fish descending 3 meters per second
B} from starting position of 7 meters below sea level, the fish is ascending 3 meters per second
C} from starting position of 3 meters below sea level, the fish is descending 7 meters per second
D} from starting position of 3 meters below sea level, the fish is ascending 7 meters per second
PLEASE HELP!!!
Answer:
C
Step-by-step explanation:
y = -7x - 3 is a linear function that follow y = mx+b. M is the slope or rate. Here m = -7 so the fish descends 7 meters per second. B is the y-intercept or starting position. Here the starting position is -3 so the fish starts 3 feet below sea level.