John says the transformation rule (x, y) --> (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
Answer:
The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.
The graph of an exponential function is given. Which of the following is the correct equation of the function?
y = 0.65x
y = 2.4x
y = 3.5x
y = 0.32x
Vertical line that passes through the point (3,-8)
Can anyone help me with these two true/false questions? :)
9. Determine whether the statement is always, sometimes, or never true.
A cubic function has an inverse.
a. always true
b. sometimes true
c. never true
10. Determine whether the statement is always, sometimes, or never true.
A linear function has an inverse relation.
a. always true
b. sometimes true
c. never true
___
Thanks!,
Answer:
9. b. sometimes true
10. a. always true
Explanation:
9. Any function will have an inverse relation. This question is not specific as to whether that inverse relation must be a function. We will assume that that is the intent.
The attached graph shows a cubic function with an inverse function (green), and another without (red).
A cubic function will have an inverse function sometimes.
____
10. As stated above, any function will have an inverse relation.
A linear function will have an inverse relation always.
__
The graph shows a linear function with an inverse function (green), and one that has an inverse relation, but not an inverse function (red).
Can someone solve the equation |x+8| = x+8
Thank you!
F(x)=x+2/2 what is the value of f(-8)
A.-4
B.-3
C.-5
D.-6
find the perimeter of the quadrilateral. if x = 2 the perimeter is
Answer:
Step-by-step explanation:
Since perimeter of any polygon is represented by sum of its all sides.
Therefore, perimeter of the given quadrilateral = (4x² + 8x) + (3x² - 5x + 20) + (7x + 30) + 31
4x
Translate three times the sum of a number and five
What is a possible value of sin(theta) when cos2(theta)=0.73?
a.0.37
b.0.63
c.0.26
d.0.74
The correct answer is option a. 0.37.
Given that [tex]cos(2\theta) = 0.73[/tex], find a possible value of sin(theta).
It is known that:
[tex]cos(2\theta) = 1-2sin^2(\theta)[/tex].
Substituting the given value:
[tex]0.73 = 1-2sin^2(\theta)[/tex]
Rearrange to solve for sin²(theta):
[tex]2sin^2(\theta)=1-0.73[/tex]
[tex]2sin^2(\theta)=0.27[/tex]
[tex]sin^2(\theta)=0.135[/tex]
So, [tex]sin(\theta) = \sqrt{0.135}\ or\ sin(\theta) = -\sqrt{0.135}[/tex].
Since we are looking for a possible value, we take the positive root:
[tex]sin(\theta) \approx 0.367[/tex]
Considering the options given, the closest possible value is 0.37.
If 3x + 8 = 5x - 6, then what is the value of 10x?
Can anyone answer this ???
Find the slope-intercept form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
(1, -5) and (5, -1)
In a bag there are 4 blue marbles,8 red marbles, and 5 orange marbles. if two marbles are drawn without replacement find the probability that both marbles are the same color, the second marble being red. the first being blue the second being orange
3/5, give the equivalent numerator if the denominator is 80
3
16
48
A hair salon charges a fixed rate of $25.00 for a haircut and an additional $15 for any other services. Write a function to model the cost of services at the salon and then evaluate the function to determine the cost for a haircut, shampoo, highlight, and blow dry.
Answer:
Function : Cost =25 + 15x
Cost for a haircut, shampoo, highlight, and blow dry = $70
Step-by-step explanation:
Hi, to answer this we have to write an equation:
The cost of the services will be equal to the fixed cost for the haircut (25.00) plus the product of the number of additional services (x) and the price of each additional service (15).
Mathematically speaking:
Cost =25 + 15x
To determine the cost for a haircut, shampoo, highlight, and blow dry, we have to substitute x = 3 (because shampoo, highlight, and blow dry are additional services ) in the equation and solve.
Cost = 25+ 15 (3)
Cost = 25+45
Cost = $70
Please help, I’m kinda confused
Which number is a solution of the inequality? Y>1.9 (1 point)
A. -9
B. -2
C. 2
D. 1.9
Please help!! I'm way behind!
Alex was thinking of a number. Alex subtracts 14 from it and gets an answer of 29.6. What was the original number?
Which of the following decimal numbers equals 4 thousand, 9 hundreds, 2 tens, and 6 ones?
A line has a slope of -1/2 and a y-intercept of –2. What is the x-intercept of the line? –4, –1, 1 ,4
What is the value of b^2 - 4ac for the following equation?
x^2 + 5x + 4 = 0
A: 9
B: 16
C: 25
-4x ²-3x+2=0
can you help me solve this
Answer:
x = (-3 ±√41)/8
Step-by-step explanation:
When you match your equation to the form ...
... ax² +bx +c = 0
you can see that ...
a = -4b = -3c = 2These are the values you use in the quadratic formua to find the solutions for x.
... x = (-b ±√(b²-4ac))/(2a) . . . . . . the quadratic formula
... x = (-(-3) ±√((-3)² -4(-4)(2)))/(2(-4)) . . . . fill in a, b, c
... x = (3 ±√(9+32))/(-8) . . . . simplify a bit
... x = (-3 ±√41)/8 . . . . . . put the minus sign in the numerator
Answer please anybody
the statement 2n^2+5n-25=0 opens up because
Somebody please help .. What is the exact volume of this right cone ?
What is the value of x? Please Answer
Gina pumps 40 cubic inches of air per second into a balloon. The function below shows the total amount of air f(t) inside the balloon after t seconds. f(w) = 40t + 5 Which statement best describes the y-intercept of the graph of the function?
Which represents the explicit formula for the arithmetic sequence
For each value of w, determine whether it is a solution to -56=7(w-3).
The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.
R^6 =
B
E
O
Answer:
B will be at same place after all six rotations.
Step-by-step explanation:
If rotation maps to [tex]60^{\circ}[/tex]
Then [tex]R^6[tex] means six rotations .
The given B after one rotation will shift in place of A
After second rotation will shift in place of F
After third rotation will shift in place of E
After fourth rotation will shift in place of D
After fifth rotation will shift in place of C
After sixth rotation will shift in place of B itself.
Therefore, B will come back to same place after all the required rotations.