=========================================================
Explanation:
The graph of any constant function is a horizontal flat line. The output is the same regardless of whatever input you select. Recall that a one-to-one function must pass the horizontal line test. Horizontal lines themselves fail this test. So this is sufficient to show we don't have a one-to-one function here.
Put another way: Let f(x) be a constant function. Let's say its output is 5. So f(x) = 5 no matter what you pick for x. We can then show that f(a) = f(b) = 5 where a,b are different values. This criteria is enough to show that f(x) is not one-to-one. A one-to-one function must have f(a) = f(b) lead directly to a = b. We cannot have a,b as different values.
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The term "onto" in math, specifically when it concerns functions, refers to the idea of the entire range being accessible. If the range is the set of all real numbers, then we consider the function be onto. There's a bit more nuance, but this is the general idea.
With constant functions, we can only reach one output value (in that example above, it was the output 5). We fall very short of the goal of reaching all real numbers in the range. Therefore, this constant function and any constant function can never be onto.
11. Angelina did not pay her credit card bill in full, so her bill has a finance charge added on.
The average daily balance is $520.39 and the monthly periodic rate is 1.2%. What should her
finance charge be on her statement?
A parabola can be drawn given a focus of (−5,3) and a directrix of
y=1. Write the equation of the parabola in any form.
Answer:
Step-by-step explanation:
y = 1 is a horizontal line
Vertex is halfway between the directrix and focus on a vertical line through x = (-5, 3).
(1 + 3)/2 = (-5, 2)
The shortest distance from the directrix to the focus is 3 - 1 = 2 units
so points (-5 - 2, 3) = (-7, 3) and (-5 + 2, 3) = (-3, 3) are on the parabola.
The vertex form of a parabola is
y = a(x - h)² + k
y = a(x - (-5))² + 2
y = a(x + 5)² + 2
plugging in one of the other known points
3 = a(-7 + 5)² + 2 or 3 = a(-3 + 5)² + 2
1 = a(-2)² 1 = a(2)²
a = 1/4 a = 1/4
y = ¼(x + 5)² + 2
to find the standard form, expand the vertex form
y = ¼(x² + 10x + 25) + 2
y = 0.25x² + 2.5x + 6.25 + 2
y = 0.25x² + 2.5x + 8.25
or
4y = x² + 10x + 33
Eddys yard is 12 feet wide and 20 foot long it is covered with grass how many square feet of grass is in eddys yard
Answer:
240 sq feet
Step-by-step explanation:
for a rectangle
area = length * width
a = 20 * 12
a = 240
240 sq feet
f(x) = x; reflection in the x – axis followed by a translation 3 units down.
Answer:
f(x)=-x-3
Step-by-step explanation:
reflection in the x-axis
f(x) = x ---> f(x) = -x
translation 3 units down:
f(x) = -x ---> f(x) = -x - 3
GIVING BRAINLIEST IF ANSWRED QUICKLY AND CORRECTLY.
What is the standard deviation depicted on the graph?
-7
-75
-54
-96
Answer:
i think its 96
Step-by-step explanation:
easy problem.......................................
Answer:
-3/7
Step-by-step explanation:
Ty for points
How do I answer the question -x^2-6x+16=0 using the quadratic formula?
9514 1404 393
Answer:
x = -8 or 2
Step-by-step explanation:
Compare your equation to the standard form equation.
-x^2 -6x +16 = 0 . . . . . . your equation
ax^2 +bx +c = 0 . . . . . . standard form equation
Identify the values of 'a', 'b', and 'c'.
a = -1
b = -6
c = 16
Fill in these values in the quadratic formula and do the arithmetic.
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-6)\pm\sqrt{(-6)^2-4(-1)(16)}}{2(-1)}=\dfrac{6\pm\sqrt{100}}{-2}\\\\x=-3\pm5=\{-8,2\}[/tex]
The solutions are x = -8 and x = 2.
Find each of the following differences by changing them into sums with multiplication by a negative number
8(x+3)-2(x+5)
The difference of given expressions is 6x+14.
What is the subtraction of expressions?To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.
Given that, 8(x+3)-2(x+5)
8x+24-2x-10 (By distributive property of multiplication)
(8x-2x)+(24-10) (Grouping like terms)
6x+14
Therefore, the difference of given expressions is 6x+14.
To learn more about the subtraction of expression visit:
https://brainly.com/question/12959016.
#SPJ2
Here are the first five terms of an arithmetic sequence.
-1 3 7 11 15
Find, in terms of n, an expression for the nth term of this sequence.
Answer:
19, 23, 27, 31, 35, 39, 43, 47
Step-by-step explanation:
is this what you meant? if not tell me what you meant and I'll change it
The coordinates of the vertices of A ABC are A(-4, 6), B(-2, 2), and C(-6, 2)
The coordinates of the vertices of A A'B'C'are A' (2, 6). B'(0, 2), and C'(4, 2)
,
Drag and drop the answers into the boxes to correctly complete the statement
A ABC A A'B'C's a
followed by a
A sequence of transformations that maps
translation 2 units left
reflection across the x-axis
reflection across the y-axis
translation 2 units down
Answer:
Step-by-step explanation:
1 reflection across the y axis
followed by
2 translation two units left
(-4, 6) reflect to (4, 6) translate (2, 6)
(-2, 2) reflect to (2, 2) translate (0, 2)
(-6, 2) reflect to (6, 2) translate (4, 2)
could also be done in one step by reflecting across x = -1
If 50 J of energy is used for 10 seconds how much power is produced
Answer:
5 watts
Step-by-step explanation:
Write the following in expanded form.
159.552
What is the expanded form of this number, please help!!!!!!
Answer:
0.002+0.05+0.5+9+50+100
Ethan measured a line to be 14 inches long. If the actual length of the line is 14.5
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
Answer: Estimate the length of each line segment in inches. Then
measure it to the nearest —
1
2
— inch.
2.
Estimate: Actual:
Estimate the length of each line segment. Then
measure it to the nearest —
1
4
— inch.
3.
Estimate: Actual:
4.
Estimate: Actual:
Draw a line segment that has the given length.
5. 4 inches
6. 3—1
4
— inches
7. 4—
1
2
— inches
8. —3
4
— inch
9. Marta wants to make 4 necklaces that are the same
length. She asks her friends to cut the string for the
necklaces 15 paper clips long. Would all the
lengths be the same? Explain your thinking.
Answers will
vary.
Answers will
vary.
Answers will
vary.
3 inches
2—
1
2
— inche
Step-by-step explanation:
Answer:
0.036 or 3.6%
Step-by-step explanation:
First you must set up the equation:
(|14.5 - 14|) / 14
0.5 / 14
0.036 x 100%
3.6%
Another Problem For Help With More Explanation:
Mathew goes to the store and gets 10 bananas, which he expects to be 4.1 pounds, however it turned out the actual weight was 3.9 pounds. What was the percent error of the measurement, to the neartest tenth of a percent?
So first you must take the 2 values you need out, which would be 4.1 pounds (the expected value) and 3.9 pounds (the actual value).
You then must set up the equation which is (|X-Y|)/Y.
X is the actual value, which would be 3.9 pounds and Y is the expected value, which would be 4.1.
You then plugin the numbers so you get (|3.9-4.1|) / 4.1.
Then follow PEMDAS, which would be the parantheses, so it would be |-0.2| / 4.1.
The absolute value of -0.2 is 0.2, since the absolute value makes it positive, no matter if it was already negative or positive.
You are then left with 0.2 / 4.1, which you then do the math for, with it equaling 0.048780.
You then do 0.048780 x 100%, to get the percent, which would be 4.8780%, however you would just need to round to the tenth of a percent, so it would be 4.9%. Hope this extra problem helps you understand the topic more! :}
A 2 kg cart traveling 0.3 m/s runs into a 4 kg cart at rest. What is the momentum of each cart before the
collision?
A. The small cart has a momentum of 0 kg · m/s and the large cart has a momentum of
0.6 kg . m/s.
B. The small cart has a momentum of 0.6 kg · m/s and the large cart has a momentum of
0 kg . m/s.
C. The small cart has a momentum of 0 kg · m/s and the large cart has a momentum of
2.4 kg . m/s.
D. The small cart has a momentum of 0.6 kg · m/s and the large cart has a momentum of
1.2 kg. m/s.
Answer:
The small cart has a momentum of 0.6 kg ⋅ m/s and the large cart has a momentum of 0 kg ⋅ m/s
I just took the test.
0.6 kg and 0 kg p=mv100 kg * m/sThe train cars move together in the direction the large car was movingM1V1 i + M2V2 f = M1V1 f +m2 v2 felastic collision, because the law of conservation of momentum was followed.The ratio of useful energy output to energy input.80%NO LINKS!!!!!
Part 2: Draw sketches (including several accurate point coordinates) for the following functions. Name all of the transformations.
4. y = -1/3 | x - 2 | - 4
5. y = 1 / ( x + 5) - 3
6. (x - 1)^2 + (y + 2)^2 = 4
Answer:
see below
Step-by-step explanation:
We can use the equation
y = -a f(-b (x-h)) +k
The first negative is a reflection about the x axis
a is a horizontal stretch if it is >1 or a compression if less than 1
The negative inside the function is a reflection about the y axis
b is a horizontal compression if >1 or a compression if less than 1
h shifts the function left ( h<0) or right if (h>0)
k shifts the function up if k>0 or down if k <0
4. y = -1/3 | x - 2 | - 4
parent function |x|
reflection about the x axis
1/3 horizontal compression
shift 2 units to the right
4 units down
y = 1 / ( x + 5) - 3
The parent function is 1/x
shift is 5 units to the left and 3 units down
6. (x - 1)^2 + (y + 2)^2 = 4
(x - 1)^2 + (y + 2)^2 = 2^2
This is a circle of radius 2
The center is shifted from the origin 1 unit to the right and 2 units down
help with this math work i dont understand
Answer: 7,035
Step-by-step explanation: first convert 5% to a decimal, 0.05
Then multiply that to the subtotal which is 6,700: 335
Last add 335 to the subtotal. 6,700+335+7,035
Hope this helps!
8. Math on the Spot Write an equation in slope-intercept form for the line that passes
through (5, -6) and is parallel to the line described by y = -x+ 3.
Answer: y=-x-1
Step-by-step explanation:
To find the answer, 5 and -6 have to be substituted in the place of x in the equation y = -x + b(The slope has to be the same because the line is parallel). -6 = -5 + b, b = -1. This means that the equation is y = -x - 1.
What problem can be solved by division of decimals?
Answer:
empeñemos eluden los emigró del fr¡¿&¿=£/€"=4=£64÷^£/:£=17
Find the x- and y-intercepts of the graph of 3x - 5y = 25. State each answer as an
integer or an improper fraction in simplest form.
Answer:
[tex]\bf\mathsf{X-intercept=(\frac{25}{3},\:0)}[/tex]
Y-intercept = (0, -5)
Step-by-step explanation:
Given the linear equation in standard form, 3x - 5y = 25, for which we must determine its x- and y-intercepts.
It is essential to understand what the intercepts mean relative to the given equation and its location on the graph.
X-intercept:The x-intercept is the point where the graph crosses the x-axis. Hence, its coordinates are often represented by (a, 0). Thus, the x-intercept provide the value of x when the value of the y-coordinate is 0.
Now, we can solve the x-intercept by setting y = 0:
3x - 5y = 25
3x - 5(0) = 25
3x - 0 = 25
3x = 25
Divide both sides by 3 to solve for x:
[tex]\large\mathsf{\frac{3x}{3}\:=\:\frac{25}{3}}[/tex]
[tex]\bf\mathsf{x=\:\frac{25}{3}}[/tex]
Therefore, [tex]\bf\mathsf{X-intercept=(\frac{25}{3},\:0)}[/tex] .
Y-intercept:The y-intercept is the point where the graph crosses the y-axis. Hence, its coordinates are often represented by (0, b ). Thus, the y-intercept provide the value of y when the value of the x-coordinate is 0.
Now, we can solve the y-intercept by setting x = 0:
3x - 5y = 25
3(0) - 5y = 25
0 - 5y = 25
-5y = 25
Divide both sides by -5 to solve for y:
[tex]\large\mathsf{\frac{-5y}{-5}\:=\:\frac{25}{-5}}[/tex]
y = -5
Therefore, the y-intercept is (0, -5).
Find the product of the following. Write your answer on the line. 21. 713.1 x 10 22. 943.843 x 100 23. 1.999 x 4.12 = 24. 60.09 x 0.0123 = 25. 0.10002 x 0.411=_
Answer:
The numbers are best written as,
(1.2 x 10⁻²)(3.65 x 10⁸)
If we multiply the bases of the scientific notations, we get an answer of 4.38. There exists a rule which states that for exponents of the same number which are multiplied, we add up the exponents. Thus, our final answer would be,
4.38 x 10⁶
Step-by-step explanation:
ratio of 5/20 to 9/20
Answer:
5:20 to 9:20
Step-by-step explanation:
Help we been stuck in this for a minitower ?
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. Assume that the population standard deviation is 1.5 gallons. The mean water usage per family was found to be 17.5 gallons per day for a sample of 543 families. Construct the 98% confidence interval for the mean usage of water. Round your answers to one decimal place.
Answer:
The monthly amount of water used per household in a small community is normally distributed with mean 7,069 gallons and standard deviation 58 gallons. Find the three quartiles for the amount of water used.
The length of a rectangle is 6 centimeters greater than the width. The area of the
rectangle is 112 square centimeters. Find the length and the width.
Answer:
Step-by-step explanation:
Width = w
Length = w + 6
Area = 112 sq. cm
length * width = 112
(w +6 ) *w = 112
w² +6w -112 = 0
Sum = 6
Product = -112
Factors = 14 , -8 {14 - 8 = 6 , (-8)*14 = -112}
w² + 14w - 8w -112 = 0
w(w + 14) - 8(w + 14)=0
(w +14)(w -8) = 0 {Ignore w + 18 as measurement won't be negative}
w - 8 = 0
w = 8 ft
Length = 8 + 6 = 14 ft
The perimeter of quadrilateral PQRS is 42 centimeters. The quadrilateral is reflected across
QR
and then translated 6 centimeters to the left and 2 centimeters down. What is the perimeter of the resulting quadrilateral?
Answer:
it’s still 42 centimeters :3
Step-by-step explanation:
this is kind of a trick question. These are transformations that don’t change the shape‘s size such as rotations and translations. Dialations change the shapes size but because in this problem it’s on reflections and translations, you can easily say that the perimeter is still 42 centimeters.
hope this helped :3
:3 byeeeeeeeeeeee
(4.05)^2
Help me please I really don’t under stand what I’m supposed to do with the brackets and exponent
Step-by-step explanation:
The power 2 after 4.05 means that 4.05 should times itself twice, which means
[tex] {4.05}^{2} = (4.05)(4.05) \\ = 16.4025[/tex]
20/3  ÷ 1/6 pls help
Step-by-step explanation:
= 20/3 ÷ 1/6
= 20/3 × 6
= 120/3
= 40
Answer:
[tex] \sf 40[/tex]
Step-by-step explanation:
[tex] \sf = \frac{20}{3} \div \frac{1}{6} [/tex]
[tex] \sf = \frac{20}{3} \times \frac{6}{1} [/tex]
[tex] \sf = \frac{20 \times 6}{3 \times 1} [/tex]
[tex] \sf = \frac{120}{3} [/tex]
[tex] \sf = 40[/tex]
total area of 2 Square Windows is 1025 in squared each side of the larger window is 5 in longer than the size of the smaller window how long are the size of the smaller window
Answer:
B 20in
Step-by-step explanation:
e2021
What is 1/2 divided by 5/6
Answer:
3/5
Step-by-step explanation:
1/2 ÷ 5/6 = 1/2 × 6/5 = 6/10 = 3/5
HELP PLEASE I JUST NEED TO KNOW IF THE ANSWER IS AN EXTRANEOUS SOLUTION OR NOT
Solve the rational equation x over 5 equals x squared over quantity 4x plus 2 and check for extraneous solutions.
x = 0; x = −2 is an extraneous solution
x = 2; x = 0 is an extraneous solution
x = 0 and x = 2
x = 0 and x = −2
Answer:
x=0 and x=2
Step-by-step explanation:
[tex]\frac{x}{5} = \frac{x^{2}}{4x+2}[/tex]
4x+2 can't equal 0, is 4x+2=0, then x=-1/2, none of the answers are -1/2 so none are extraneous
x=0 is a solution, but x=-2 isn't, x=2 works (i checked this by plugging the solutions into the equation
Answer:
(C) x = 0 and x = 2
