9514 1404 393
Answer:
1
Step-by-step explanation:
Any (non-zero) number divided by itself is 1.
_____
This is a fact that has many uses in problem solving and units conversion.
The graph of the function f(x) = (x + 2)(x + 6) is shown
below.
Which statement about the function is true?
O The function is positive for all real values of x where
x>-4.
6
14-
O The function is negative for all real values of x where
-6 < x < -2.
The function is positive for all real values of x where
x <-6 orx > -3.
O The function is negative for all real values of x where
x < -2.
24
-2
2
4
6
х
4
Answer:
The function is negative for all real values of x where
-6 < x < -2.
Step-by-step explanation:
f(x) = (x +2)(x + 6)
x + 2 = 0 or x + 6 = 0
x = -2 or x = -6
After graphing the function is negative between -6 < x < -2
The true statement about the graph is (a) The function is negative for all real values of x where -6 < x < -2.
The equation of the function is given as:
[tex]f(x) = (x + 6)(x + 2)[/tex]
From the graph, we have the following highlights
The values of the function decreases from negative infinity till x = -4The values of the function increases from x = -4The values of the function is negative for x = -6 to x = -2The above means that:
The function is negative for all real values of x where -6 < x < -2.
Hence, the true statement about the graph is (a)
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PLEASE HELP
Create a cubic function that is not the parent function.
Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.
A cubic function is a function that has a power of 3, and three real roots.
The cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis
The parent cubic function
[tex]\mathbf{f(x) = x^3}[/tex]
A transformed function of the cubic function may be
[tex]\mathbf{g(x) = -x^3}[/tex]
g(x) means that function f(x) is reflected across the y-axis.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{g(x) = -f(x)}[/tex]
Substitute x^3 for f(x)
[tex]\mathbf{g(x) = -x^3}[/tex]
Hence, the cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis
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2. (a) Use a prove by contradiction to show that if a and b are nonzero integers such that a divides b and a + b is odd, then a is odd. (b) Prove that if n is a positive integer, then n² does not equal 2(mod 4).
a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.
Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.
b. Let n be even, so that n = 2k for some integer k. Then
n² = (2k)² = 4k²
so that n² ≡ 0 (mod 4).
Now let n be odd, so n = 2k + 1 for integer k. Then
n² = (2k + 1)² = 4k² + 4k + 1
so that n² ≡ 1 (mod 4).
Therefore n² is never congruent to 2 (mod 4).
number of heads: 0,1,2,3 Frequency: 16,38,34,12 Find the median
Answer:
the median of 0 1 2 3 16 38 34 12 is 9.5
Apply the distributive property to create an equivalent expression
Answer:
3e-3/2f-3/8
Step-by-step explanation:
You multiply everything in the parenthesis with 1/2. 1/2*6e=3e, 3f*1/2=3/2f, 3/4*1/2=3/8. This would be the answer.
How do the measures of the angles of triangle ABC compare if those of triangle A’B’C’ when triangle A’B’C’ coincides with the other three triangles. What can you say about the preservation of the angle measurement of the shape during rotation.?
Answer:
30x t 78
Step-by-step explanation:
Write the equation of the line that passes through the points (-9,9) and (8, -2).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y + 2 = (11/17)(x - 8)
Step-by-step explanation:
Working with the x- and y-components of the given points, we see that the x component increases by 17 and the y-component decreases by 11. Thus, the slope of this line is m = rise / run, or 11/17.
Start with the general point-slope form: y - k = m(x - h) and use the coordinates of the 2nd point for h and k in this equation:
y + 2 = (11/17)(x - 8)
This is based on the point (-2, 8)
and the slope 11/17.
This result is the desired equation in point-slope form. If we wish to reduce this, proceed as follows:
17(y + 2) = 11x - 88, or 17y + 34 = 11x - 88
This last result simplifies to 17y = 11x - 54, or y = (11/17)x -54/17 (which is in slope-intercept form).
what is 1/5 divided by 9?
Answer:
9/5
Step-by-step explanation:
Just divide the 9 by 1 so it'll be 9/5 hope it helps
Susie catches 15 butterflies and lets 6 butterflies go for three days in a row
Answer:
Sorry don't report pls I need the points
Step-by-step explanation:
What is the distance between the points (7 , 34) and (7 , 19) in the coordinate plane?
Answer: 15.00 units
Explanation: When we know the horizontal and vertical distances between two points we can calculate the straight line distance like this: distance = √ a2 + b2
I need a help.... thankyouu to those who can ans. this:))
A. BSA Method
B. Clark's Rule
(20 points)
A
Step-by-step explanation:
just trust me that is the correct answer
My Kotwica is baking a few cakes for the bake sale for her school. Each cake requires 2
cups of sugar. How many cakes cun she bake if she has 7 1/3 cups of sugar?
Please answer the question on the following screenshot
Answer:
E
Step-by-step explanation:
Ellen solved the equation x2−5=59 using the following steps.
Review her work carefully, and then follow the instructions.
Line 1: x2−5=59
Line 2: x2−5+5=59+5
Line 3: x2=64
Line 4: x=8
Which statement identifies a mistake Ellen made, if any?
Answer:
c
Step-by-step explanation:
In Line 4, she forgot to take the negative square root, because squaring both 8 and −8 equals 64.
please look at the pic!
The formula for determining the mean from the probability distribution table is expressed as mean = summation(x * P(x))
Thus, we have
x | p(x) | xp(x)
3 | 0.14 | 0.42
6 | 0.05 | 0.3
9 | 0.36 | 3.24
12 | 0.35 | 4.2
15 | 0.10 | 1.5
Mean = 0.42 + 0.3 + 3.24 + 4.2 + 1.5 = 9.66
The last option is correct.
What is -3/2 as a decimal
Answer:
-1.5
Step-by-step explanation:
To convert a fraction to a decimal number divide the numerator (-3) by denominator (2)
Answer:
-1.5
Step-by-step explanation:
A) 37.68 square inches B) 72.52 square inches C) 108.12 square inches ) D) 113.09 square inches
Answer:
The answer is D.
Step-by-step explanation:
Radius is half of diameter. So the radius of the circle is 6 in.
The formula for getting the area of circle is:
A = π[tex]r^{2}[/tex] π = 3.1416
A = (3.1416)(6)[tex]^{2}[/tex]
A = (3.1416)(36)
A = 113.09 square inches
Solve
-12 + 23
A. -35
B. -11
C. 11
D. 35
Answer:
C. 11
Step-by-step explanation:
This can be rewritten as
23 - 12
This is equal to 11.
Answer:
11
Step-by-step explanation:
-12 + 23 = 11
since the 12 is negative subtract it from 23 and you get 11 as your answer
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Answer:
Its C (Third Multiple Choice Answer)
Step-by-step explanation:
The reason being that x + 1 / 2 (6x - 4) = 6 is the way it is instead of the first step being x + 6x / 2 - 4 / 2 = 6 is because it is using legal manipulation by multiplying the 1 / 2 out.
Math:
First
2 * (x + 1 / 2 (6x - 4) = 6 * 2 [In this case the x gets multiplied by 2 and multiplies 2 to the other side as well. The reason why it isn't a Distributive Property in the first place is because we are using multiplication only and the equation is not 1 / 2 (6x - 4).
Then
2x + 6x - 4 = 12 will then equal to 8x - 4 = 12 which is adding like terms
Thirdly
(+ 4) + 8x - 4 = 12 (+ 4) [The parenthesis is to identify that the 4 is positive]
will then turn into 8x = 16
Finally
By dividing 8 on both sides of the previous equation
8x / 8 = 16 / 8 equaling x = 2.
Salma received 7/9 of the 81 votes cast for class president. How many votes did she receive?
Answer: 63 votes
Step-by-step explanation:
Simply multiply 81 by 7/9 to get the answer, 63 votes.
Hope it helps :) and let me know if you want me to elaborate.
63
Step-by-step explanation:
(7/9) x 81 = 63
The radius of a circle is constantly increasing. At a certain moment, the rate of increase of the circumference is the same as the rate of increase of the area. At that moment, what is the area of the circle?
a. 1/pi
b.pi/4
c.4pi
d.pi
e.4/pi
population growth problem: the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million
can you please help out my daughter on this...
Answer:
d
Step-by-step explanation:
Please any math experts helps thank you
Answer:
[tex]\frac{t^2-16}{t^2-8t+16}[/tex]
We can factorise the numerator which the difference of squares formula:
[tex]x^2-y^2=(x+y)(x-y)[/tex]
---------------------------------
[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{t^2-8t+16}[/tex]
Next, factorise the denominator:
[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{(t-4)^2}[/tex]
[tex]\frac{(t+4)(t-4)}{(t-4)(t-4)}[/tex]
Cancel out the common factor of (t-4):
[tex]\frac{t+4}{t-4}[/tex]
Math test urgent & any help would be greatly appreciated thank you the question is attached in the photo below
Answer:
Good luck on the test <333
Step-by-step explanation:
m<1 = ? // m<2 = ? // m<3 = ? // m<4 = ?
First I want to find the third angle because I see 93 degrees + 3 equals 180, so angle 3 is 87.
Now I find angle 2, because it seems as angle 2 is the same as 49 degrees.
Now for angle 1 and 4, we now that angles in a triangle sum to 180°. So for angle 1 the equation is 180 - (49 + 68), which is 63.
For angle 4 the equation is 180 - (49 + 87), which is 44.
Select the geometric figure that correctly matches with the following formula:
A=LW
Answer:
Square because the area of a square is length times width.
The formula matches with square.
What is Geometry?A branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids
As,
First, Area of circle = πr²
Hence, it is not possible.
Second, square
Area of square = l * b = LW
Similarly for trapezium
Area= 1/2( a+ b)* h
Hence, the formula matches with square figure.
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A BIOCHEMICAL RESEARCH COMPANY PRODUCES 50% OF ITS INSULIN AT A PLANT IN KANSAS CITY, AND THE REMAINDER IS PRODUCED AT A PLANT IN JEFFERSON CITY. QUALITY CONTROL HAS SHOWN THAT.5% OF THE INSULIN PRODUCED AT THE PLANT IN KANSAS CITY IS DEFECTIVE, WHILE 1.35% OF THE INSULIN PRODUCED AT THE PLANT IN JEFFERSON CITY IS DEFECTIVE. WHAT IS THE PROBABILITY THAT A RANDOMLY CHOSEN UNIT OF INSULIN CAME FROM THE PLANT IN JEFFERSON CITY GIVEN THAT IT IS DEFECTIVE?
The probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.
Given that a biochemical research company produces 50% of its insulin in Kansas and the rest in Jefferson, and 0.5% of Kansas's insulin is defective, while 1.35% of Jefferson's also is defective, to determine what is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective, the following calculation must be performed:
0.5 + 1.35 = 1.85 1.85 = 100 1.35 = X 1.35 x 100 / 1.85 = X 72.97 = X
Therefore, the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.
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y varies directly as x and x=20 when y=15. Find y when x=68
please someone helpppp meeeeee
Answer:
b
Step-by-step explanation:
236
Answer:
my answer is C/386
Step-by-step explanation:
x/2+74+42+77=x
If I paid 1/7 of the total bill and the remainder of the bill was $114, how much did I pay?
l