Which parent function is represented by the graph
A the absolute value parent function
B quadratic parent function
C the linear parent function
D and exponential parent function
Answers
Answer:
D—exponential parent function.
Step-by-step explanation:
An exponential parent function shows exponential growth, which means growth that continues, as we can see happening on the graph.
Here's a chart that may help you:
Related Questions
The income of a computer analyst varies directly as the number of hours worked. If the analyst earned $256 for working 8 hours, what is the constant variation?
Answers
Answer:
$32 per hour
Step-by-step explanation:
if a person makes $256 per 8 hours then we can divide 256 by 8 so that we get the unit of dollars per hour.
$256/8 hour= $32 per hour
you can write this as k=y/x
which can also be 32=256/8
1. Given the following table and graph, write the equation to representthe exponential function.уy43-1-4210-2-4-20х1-12-0.5
Answers
In order to find the equation of this exponential function, let's use this model for an exponential equation:
\(y=a\cdot b^x\)Now, using some of the points given, we can find the values of the coefficients 'a' and 'b':
\(\begin{gathered} x=0,y=-2 \\ -2=a\cdot b^0 \\ a=-2 \\ \\ x=1,y=-1 \\ -1=-2\cdot b^1 \\ b=\frac{-1}{-2}=0.5 \end{gathered}\)So our function is:
\(y=-2\cdot0.5^x\)Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Answers
Check the picture below.
Given y=4x+2, find the domain value if the range value is 4
Answers
4-2=4x+2-2
2=4x
Divided both sides by 4
X=1\2
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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Solve for D
Thanks!!!!!!!!
Answers
\( \frac{c}{\pi} = d\)
or
\( \frac{c}{3.14} = d\)
or
\(c \times \frac{7}{22} = d \\ \frac{7c}{22} = d\)
What are the chances that a coin toss will result in heads? (vs. tails)?
Answers
Answer:
50/50
Step-by-step explanation:
there are only two sides so they both get 50 percent
Answer: 1 in 2 chance
Step-by-step explanation: because there are only 2 sides and can only land on one side
Write a sentence of the form “–––––––––––––– is a function of –––––––.”
Type your response in the space below.
Answers
"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.
Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.
It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.
In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.
The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.
Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.
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Nathan drove 234 miles in 6 hours. On average how fast did he drive in miles per hour?
Answers
Answer:
To find the average speed in miles per hour, we need to divide the total distance by the time taken:
Average speed = Total distance / Time taken
Average speed = 234 miles / 6 hours
Average speed = 39 miles per hour
Therefore, Nathan's average speed was 39 miles per hour.
Step-by-step explanation:
Answer:
Nathan drove an average of 39mph
Step-by-step explanation:
r=d/t
rate=234/6
234+6=240
240/6=40
Because we added a six, we need to subtract one:
40-1=39
Nathan drove an average of 39mph
Family Video stocks 1003 drama movies, 518 science fiction movies and
253 children's movies. How many more drama titles than children's
titles does Family Video have in stock?
Answers
Answer:
There are 750 more drama movies that children's movies.
Step-by-step explanation:
There are 1003 drama movies, and 253 children's movies.
1003 - 253 = 750
If u answer this i will give your answer a like and help with anything u need!
Answers
Answer:
0 . 4 = 2 / 5
Step-by-step explanation:
grade 11 2022 June common test mathematics memorandum?
Answers
Note that the roots of the equation Unequal and rational (Option D)
How is this so ?The roots of the equation (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.
x - 3 = ±√4
⇒ x - 3 = ±2
Solve for x
For the positive square root.
x - 3 = 2
x = 2 + 3
x = 5
For the negative square root.
x - 3 = -2
x = -2 + 3
x = 1
Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)
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Full Question:
Although part of your question is missing, you might be referring to this full question:
The roots of the equation (x - 3)² = 4 are
A.Unequal and irrational.
B.Equal and rational.
C. Equal and irrational.
D. Unequal and rational.
1) Given that f(x)
2x²-3x - 7, where x ER
a) Show that the equation f(x) = 0 has two real roots.
b) Solve the equation f(x) = 0.
=
Answers
Answer:
Step-by-step explanation:
1) Given that f(x)= 2x²-3x - 7
a) Show that the equation f(x) = 0 has two real roots.
Calculate the discriminant Δ
f(x) = ax²+bx+c
f(x) = 2x²-3x - 7
Δ= b²-4ac = (-3)²-4·2·(-7) = 9 +56 = 65
Δ =65 is
Δ > 0 so the equation has 2 real distinct roots because the discriminant is not 0 or negative, it is a positive number.
b) Solve the equation f(x) = 0.
x= (-b ±√Δ)/2a
x= (3 ±√65)/2·2
One root is x=(3 + √65)/4, the second root is x=(3 - √65)/4
Solutions are x≈2.77 and x≈ -1.27
Evaluating Linear Piecewise Functions
Consider the function:
f(x) =
7/2+ 2x, x≤-1
-5+3x/2, -1
1/4x, x≥3
< -5_-4_-3_-2_-1_0_1_2_3_4_5 >
What are these values?
f(-3) =[-19/2]ᵒʳ[-5/2]ᵒʳ[-3/4]ᵒʳ[5/2]
f(-1) =[-13/2]ᵒʳ[-3/2]ᵒʳ[-1/4]ᵒʳ[-3/2]
f(3) =[-7/4]ᵒʳ[-1/2]ᵒʳ[3/4]ᵒʳ[19/2]
PLEASE HELP ME ON A SERIOUS TIME CRUNCH!!
Answers
-3≤-1, so we must use the 7/2+2x function.
Insert x into the function that has a true domain statement:
f(-3)=7/2+2(-3)
Evaluate:
f(-3)=7/2-6
Obtain a common denominator to subtract fractions:
f(-3)=7/2-(6•2/1•2)
Remember, -6 is equivalent to -6/1, so we multiply the numerator and denominator by 2 to get a common denominator.
Simplify:
f(-3)=7/2-12/2
Subtract the numerators only; denominators stay as 2:
f(-3)=(7-12)/2
Answer: f(-3)=-5/2
—————————————————————
f(-1)
-1≤-1, so we must use the 7/2+2x function again. We must always check x in all domain piecewise cases.
Let’s evaluate f(-1):
f(-1)=7/2+2(-1)
f(-1)=7/2-2
Obtain a common denominator; -2=-2/1:
f(-1)=7/2-(2•2/1•2)
f(-1)=7/2-4/2
f(-1)=(7-4)/2
Answer: f(-1)=3/2
—————————————————————
f(3)
Let’s check all domain cases. We see the only true statement is: 3≥3, so we must use the 1/4x function.
f(3)=1/4(3)
Answer: f(3)=3/4
Hope this helps! Please give Brainliest
:) Alyssa's high school played 18 football games this year. She attended
16 games. How many football games did Alyssa miss ?
Help me plzzz
Answers
Answer:
18-16=2
Step-by-step explanation:
hence she missed to football games
hope this helps!
pls mark me as the brainliest:)
have a great day ahead.!.
help me with this please
Answers
Answer:
i have no idea good luck i will try to get the answer for ya though
Step-by-step explanation:
.
Solve the system of equations by elimination.
2x + 2y = -2
3x - 2y = 12
Answers
Answer:
Step-by-step explanation:
2x + 2y = -2
3x - 2y = 12
5x = 10
x = 2
2(2) + 2y = -2
4 + 2y = -2
2y = -6
y = -3
(2, -3)
helpppp...........................
Answers
Answer:
see explanation
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a hexagon has 6 sides , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
12
the polygon has 5 sides , so
sum = 180° × (5 - 2) = 180° × 3 = 540°
sum the interior angles and equate to 540
y + 90 + 120 + 90 + 110 = 540
y + 410 = 540 ( subtract 410 from both sides )
y = 130
13
the polygon has 7 sides , so
sum = 180° × (7 - 2) = 180° × 5 = 900°
sum the interior angles and equate to 900
p + 90 + 141 + 130 + 136 + 123 + 140 = 900
p + 760 = 900 ( subtract 760 from both sides )
p = 140
3:Let f be a quadratic function such that
f(x) = ax² +bx+c = a (x-h)² + k
If k < 0, for what values of a will f(x) have no real zeros?
O a=0
O a<0
O azo
4.
O a>0
O aso
none of the answer choices
Answers
Answer:
O a=0
Step-by-step explanation:
Fill in values for the table using the function
Answers
Answer/Step-by-step explanation:
Given:
f(x) = -3x + 4
✔️First row, find x when f(x) = 4:
Substitute f(x) = 4 into the equation
4 = -3x + 4
4 - 4 = -3x
0 = -3x
Divide both sides by -3
0/-3 = x
x = 0
✔️ Second row, find f(x) when x = -1:
Substitute x = -1 into the equation
f(-1) = -3(-1) + 4
f(-1) = 3 + 4
f(-1) = 7
✔️ Third row, find f(x) when x = 1:
Substitute x = 1 into the equation
f(1) = -3(1) + 4
f(1) = -3 + 4
f(1) = 1
✔️ Fourth row, find x when f(x) = 9:
Substitute f(x) = 9 into the equation
9 = -3x + 4
9 - 4 = -3x
5 = -3x
Divide both sides by -3
5/-3 = x
x = -⁵/3
If A(0, 4), B(5, y), and AB = 13. What is y?
Answers
The required value of y for the given segment AB is given as y = 16, -8.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
A(0, 4), B(5, y), and AB = 13.
Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]
Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12
y = 16, -8
Thus, the required value of y for the given segment AB is given as y = 16, -8.
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if lx-2l=9 which of the following equal lx+3l?
A)4
B)7
C)8
D)10
E)11
Answers
Answer:
D.10
Step-by-step explanation:
its check promise
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How do you find the vertex angle of an isosceles triangle?
Answers
NO LINKS!!!
Find the sum of the finite arithmetic sequence.
Sum of the first 150 positive integers
Answers
Answer:
11325
Step-by-step explanation:
\(\boxed{\begin{minipage}{7.3 cm}\underline{Sum of the first $n$ terms of an arithmetic series}\\\\$S_n=\dfrac{1}{2}n[a+l]$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $l$ is the last term.\\\phantom{ww}$\bullet$ $n$ is the number of terms.\\\end{minipage}}\)
A positive integer is a whole number that is greater than zero.
Therefore:
The first term, a, of the first 150 positive integers is 1.The last term, l, of the first 150 positive integers is 150.The number of terms, n, is 150.Substitute the values into the formula to find the sum of the first 150 positive integers:
\(\implies S_{150}=\dfrac{1}{2}(150)\left[1+150\right]\)
\(\implies S_{150}=75 \cdot 151\)
\(\implies S_{150}=11325\)
what is b x b equialent to?
Answers
Answer:
b^2
Step-by-step explanation:
You're going to add the exponents from b x b, both carry a 1 in their powers (or exponents)
so b^1 + b^1 = b^2
Answer:
b^2
Step-by-step explanation:
b*b = b^2
Evalute: 8 × 6 + ( 12 - 4 ) ÷ 2
Answers
Answer:
the answer is 52
Step-by-step explanation:
you have to keep simplyfing the problem until you get the answer
can i please have brainliest
I checked with a calculator
How to create a table like the following for the following problem:
Answers
We have to graph the function:
\(y=-\frac{5}{2}+\cos \lbrack3(x-\frac{\pi}{6})\rbrack\)We can start from known points of the cosine function and then find the values of y.
We know the exact values of cosine for the following angles:
\(\begin{gathered} \cos (0)=1 \\ \cos (\frac{\pi}{6})=\frac{\sqrt[]{3}}{2} \\ \cos (\frac{\pi}{4})=\frac{\sqrt[]{2}}{2} \\ \cos (\frac{\pi}{3})=\frac{1}{2} \\ \cos (\frac{\pi}{2})=0 \\ \cos (\frac{2\pi}{3})=-\frac{1}{2} \\ \cos (\frac{3\pi}{4})=\frac{-\sqrt[]{2}}{2} \\ \cos (\frac{5\pi}{6})=\frac{-\sqrt[]{3}}{2} \\ \cos (\pi)=-1 \end{gathered}\)We have half the cycle here. We will complete the values later.
We then can find the value of x that matches the arguments of the known vlaues of the cosine as:
\(\begin{gathered} \alpha=3(x-\frac{\pi}{6}) \\ x=\frac{\alpha}{3}+\frac{\pi}{6} \end{gathered}\)where α is the argument of the known values of cosine (0, π/6, π/4, ...).
We then can calculate the values of x for each one as:
\(\begin{gathered} x_1=\frac{0}{3}+\frac{\pi}{6}=\frac{\pi}{6} \\ x_2=\frac{1}{3}\cdot\frac{\pi}{6}+\frac{\pi}{6}=\frac{\pi}{18}+\frac{\pi}{6}=\frac{4\pi}{18} \\ x_3=\frac{1}{3}\cdot\frac{\pi}{4}+\frac{\pi}{6}=\frac{\pi}{12}+\frac{\pi}{6}=\frac{3\pi}{12}=\frac{\pi}{4} \\ x_4=\frac{1}{3}\cdot\frac{\pi}{3}+\frac{\pi}{6}=\frac{\pi}{9}+\frac{\pi}{6}=\frac{5\pi}{18} \\ x_5=\frac{1}{3}\cdot\frac{\pi}{2}+\frac{\pi}{6}=\frac{\pi}{6}+\frac{\pi}{6}=\frac{\pi}{3} \\ x_6=\frac{1}{3}\cdot\frac{2\pi}{3}+\frac{\pi}{6}=\frac{2\pi}{9}+\frac{\pi}{6}=\frac{7\pi}{18} \\ x_7=\frac{1}{3}\cdot\frac{3\pi}{4}+\frac{\pi}{6}=\frac{\pi}{4}+\frac{\pi}{6}=\frac{5\pi}{12} \\ x_8=\frac{1}{3}\cdot\frac{5\pi}{6}+\frac{\pi}{6}=\frac{5\pi}{18}+\frac{\pi}{6}=\frac{4\pi}{9} \\ x_9=\frac{1}{3}\pi+\frac{\pi}{6}=\frac{\pi}{2} \end{gathered}\)We then can calculate the value of y for each of this points, using the known values of the cosine, as:
\(\begin{gathered} x=\frac{\pi}{6}\Rightarrow y=-\frac{5}{2}+1=-\frac{3}{2} \\ x=\frac{4\pi}{18}\Rightarrow y=-\frac{5}{2}+\frac{\sqrt[]{3}}{2}=\frac{\sqrt[]{3}-5}{2} \\ x=\frac{\pi}{4}\Rightarrow y=-\frac{5}{2}+\frac{\sqrt[]{2}}{2}=\frac{\sqrt[]{2}-5}{2} \\ x=\frac{5\pi}{18}\Rightarrow y=-\frac{5}{2}+\frac{1}{2}=-\frac{4}{2}=-2 \\ x=\frac{\pi}{3}\Rightarrow y=-\frac{5}{2}+0=-\frac{5}{2} \\ x=\frac{7\pi}{18}\Rightarrow y=-\frac{5}{2}-\frac{1}{2}=-\frac{6}{2}=-3 \\ x=\frac{5\pi}{12}\Rightarrow y=-\frac{5}{2}-\frac{\sqrt[]{2}}{2}=\frac{-5-\sqrt[]{2}}{2} \\ x=\frac{4\pi}{9}\Rightarrow y=-\frac{5}{2}-\frac{\sqrt[]{3}}{2}=\frac{-5-\sqrt[]{3}}{2} \\ x=\frac{\pi}{2}\Rightarrow y=-\frac{5}{2}-1=-\frac{7}{2} \end{gathered}\)We can repeat this process for the rest of the cycle, but in this case, we will only graph the mean value (when cosine is 0) and the extreme values (when cosine is -1 or 1).
We can list this as:
\(\begin{gathered} \cos (\pi)=-1 \\ \cos (\frac{3\pi}{2})=0 \\ \cos (2\pi)=1 \end{gathered}\)We can relate this values to x using the formula we used before:
\(\begin{gathered} x_{10}=\frac{1}{3}(\pi)+\frac{\pi}{6}=\frac{\pi}{3}+\frac{\pi}{6}=\frac{\pi}{2} \\ x_{11}=\frac{1}{3}(\frac{3\pi}{2})+\frac{\pi}{6}=\frac{\pi}{2}+\frac{\pi}{6}=\frac{2\pi}{3} \\ x_{12}=\frac{1}{3}(2\pi)+\frac{\pi}{6}=\frac{2\pi}{3}+\frac{\pi}{6}=\frac{5\pi}{6} \end{gathered}\)Now, we calculate the values of y as:
\(\begin{gathered} x=\frac{\pi}{2}\Rightarrow y=-\frac{5}{2}-1=-\frac{7}{2} \\ x=\frac{2\pi}{3}\Rightarrow y=-\frac{5}{2}+0=-\frac{5}{2} \\ x=\frac{5\pi}{6}\Rightarrow y=-\frac{5}{2}+1=-\frac{3}{2} \end{gathered}\)Using this particular values for the complete cycle we can complete the table as:
Solve the literal equation for y, 2x-2y=5
Answers
Answer:
y=-5/2+x
Step-by-step explanation:
Solve 2cos3x=0.9.
Pls help me with this trigonometric equations
Answers
Step-by-step explanation:
Simplifying
f(x) = 2cos(3x)
Multiply f * x
fx = 2cos(3x)
Remove parenthesis around (3x)
fx = 2cos * 3x
Reorder the terms for easier multiplication:
fx = 2 * 3cos * x
Multiply 2 * 3
fx = 6cos * x
Multiply cos * x
fx = 6cosx
Solving
fx = 6cosx
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Divide each side by 'x'.
f = 6cos
Simplifying
f = 6cos
What is 42% of 17?
round up
Answers
Hello
42. ?
100 17
We use cross product.
\( \frac{42 \times 17}{100} = 7.14\)
42% of 17 => 7.14
Have a nice day ;)
\(\huge\text{Hey there!}\)
\(\huge\textbf{Question reads....}\)
\(\large\textbf{What is 42\% of 17?}\)
\(\huge\textbf{Answering your question}\)
\(\mathbf{42\% \ of \ 17}\)
\(\huge\textbf{Translating it to easier to terms}\)
\(\mathbf{42\% \ of \ 17}\)
\(\mathbf{= 42\%\times 17}\\\)
\(\mathbf{= \dfrac{42}{100}\times 17}\)
\(\mathbf{= \dfrac{42\div2}{100\div2}\times17}\)
\(\mathbf{= \dfrac{21}{50}\times17}\)
\(\mathbf{= \dfrac{21}{50} \times \dfrac{17}{1}}\)
\(\mathbf{= \dfrac{21\times17}{50\times1}}\)
\(\mathbf{= \dfrac{357}{50}}\)
\(\mathbf{= 357 \div 17}\)
\(\mathbf{= 7.14}\)
\(\huge\textbf{Answer }\bf \huge\boxed{\downarrow}\)
\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{7.14}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
143 divide 65
How do I solve this problem and please explain step by step.
Answers
Step-by-step explanation:
this is a college level question ?
you are in college and don't know how to divide ?
I strongly feel you must have left something out here, especially also your phrasing does not make it clear if 143 is to be divided by 65, or 65 by 143.
if 143 / 65
we make a group of digits starting on the left. we take 1, then combine it with 4, giving us 14.
is 65 at least once contained in 14 ? no.
so, we combine it with the next digit 3.
is 65 at least once contained in 143 ? yes.
but how often fits 65 into 143 ? only once ?
1×65 = 65, the difference to 143 is 143-65 = 78.
but 65 fits also into 78. so, it fits 2 times into 143 :
143 ÷ 65 = 2
now, we multiply 65 by the found factor 2 and subtract this from the current base number 143
143 ÷ 65 = 2
- 130
-----------
13
so, we have a remainder of 13.
so, we keep on going. since we don't have any given digits anymore, we keep assuming 0s on the right hand side. but they are now after the decimal point, so, our result gets a decimal point too :
143 ÷ 65 = 2.
- 130
-----------
130
and now our new number to divide is 130. how often does 65 fit into 130 ? we have seen before, 65×2 = 130. so it fits 2 times :
143 ÷ 65 = 2.2
- 130
-----------
130
we continue as before by multiplying 65 by the find factor and subtracting this from the current reference :
143 ÷ 65 = 2.2
- 130
-----------
130
- 130
------------
0
we have 0 remainder, and that means we are finished.
143/65 = 2.2
now, if we needed the other direction
65 ÷ 143 =
we start the same way. 6 is combined with 5.
but 143 does not fit into 65. so we need to keep going with the invisible 0s. and we are crossing already the decimal point, so we get
65 ÷ 143 = 0.
650
so, how often does 143 fit into 650 ?
5 times ? 5×143 = 715. the is too big. so, 4 times it is.
and we multiply 143 by the newly found factor 4 and subtract the result from our reference :
65 ÷ 143 = 0.4
650
- 572
------------
78
and we keep on going by combining the remainder with the next invisible 0.
65 ÷ 143 = 0.4
650
- 572
------------
780
how often does 143 fit into 780 ? we know from before, 5×143 = 715, so, 5 times it is.
and we repeat the procedure (multiply 143 by the new found factor and subtract the result)
65 ÷ 143 = 0.45
650
- 572
------------
780
- 715
------------
65
and we keep on going with the next invisible 0, find the next factor, multiply and subtract, ...
65 ÷ 143 = 0.454
650
- 572
------------
780
- 715
------------
650
- 572
‐--------------
78
and the next time
65 ÷ 143 = 0.4545
650
- 572
------------
780
- 715
------------
650
- 572
‐--------------
780
- 715
---------------
65
do you notice something ? yes, this pattern will now continue forever.
we will never fully finish the division, as we will never reach 0 remainder, and 4 and 5 will continue alternately to be the next factor and the next factor and ...
so, we can say
65/143 = 0.45454545454545...