Answer:
Domain: [tex](-\infty,\infty)[/tex]
Range: [tex]f(x) \ge 0[/tex]
Step-by-step explanation:
Given
[tex]f(x) = |x + 6|[/tex]
Required
The domain and the range
First, we calculate the domain
[tex]f(x) = |x + 6|[/tex]
The above function does not have roots or fraction, where x is the denominator. This means that the domain is all real numbers, i.e. [tex](-\infty,\infty)[/tex]
The range
The function is an absolute function; So, the minimum value is 0.
Hence, the range is:
[tex]f(x) \ge 0[/tex]
Answer:
A
Step-by-step explanation:
on edge
cho hình thang vuông abcd vuông tại A và D có AD= a căn 3, DC=3,AB= 2a. chứng minh AC vuông góc với BD
I am not understanding the language
Answer:
its Vietnamese
Step-by-step explanation:
I just dont understand what that type of math is? sorry ):
Please explain, thank you
Answer:
C. 2.
Step-by-step explanation:
The graph descends from the left so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below. The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.
f(x) = a(x + 20)(x - 6.5)(x - 13) where a is a negative constant.
(This is only an approximation).
By the Remainder theorem, when the expression is divided by (x + 10):
f(-10) = -20 so we have
-20 = a (-10 + 20)(-10-6.5)(-10 - 13)
(10)(-16.5)(-23)a = -20
a = -20 / (10)(-16.5)(-23)
a = -0.0053
When the equation is divided by (x - 10) then f(10) is the remainder so substituting we have as the remainder:
-0.0053(10+20)(10-6.5)(10 -13)
-0.0053 * 30 * 3.5 * -3
= 1.7 approximately.
Looks like the answer is 2.
Round 0.090999 to four decimal places.
0.0910, I think.
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-
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My dyslexia did not like theese numbers
What is the value of a in the function equation?
Answer:
c
Step-by-step explanation:
Need answers please
Answer:
C
Step-by-step explanation:
you are adding
-3√18=
-27
√16=4
-27+4=-23
When Jonathan runs the 400 meter dash, his finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2.5 seconds. If Jonathan were to run 48 practice trials of the 400 meter dash, how many of those trials would be between 89 and 91 seconds, to the nearest whole number?
Answer:
3.18%
2 between 89 91
Step-by-step explanation:
*Probability-Between 3.18%
Z1=0.04 Z2=0.12
x-1 89
x-2 (not required) 91
µ 88
σ 25
Geometry edulastic question
9514 1404 393
Answer:
n = 16
Step-by-step explanation:
Angle ABC is the sum of its parts.
∠ABC = ∠ABF +∠FBC
159° = (7n +20)° +(2n -5)°
159° = 9n° +15° . . . . . . . . . . . . . . collect terms
144° = 9n° . . . . . . . . . . subtract 15°
16° = n°
n = 16
m% of a number equals n. can you find the number?
Answer:
mn/100
Step-by-step explanation:
m/100 * n = number = mn/100
Assuming m and n are variables with no values.
On a coordinate plane, a curved line with a minimum value of (1.5, negative 1) and a maximum value of (negative 1.5, 13), crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 6).
Which lists all of the x-intercepts of the graphed function?
(0, 6)
(1, 0) and (2, 0)
(1, 0), (2, 0), and (–3, 0)
(1, 0), (2, 0), (–3, 0), and (0, 6)
Answer:
Third option: (1, 0), (2, 0), and (–3, 0)
Step-by-step explanation:
The x-intercepts are the points at which the graph of the function crosses the x-axis.
By reading the question, we can see that:
"... crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0)..."
So the x-intercepts are:
(-3, 0)
(1, 0)
(2, 0)
Then the correct option is the third one:
"(1, 0), (2, 0), and (–3, 0)"
Answer: Option 3
Step-by-step explanation: Got it right on Edge
solve for x.
solve for x.
solve for x.
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
A secant is a line segment that intersects a circle in two places. One property of a secant is the product of the lengths ratio. This ratio can be described as the following, let ([tex]inside[/tex]) refer to the part of the secant that is inside the circle, and ([tex]outside[/tex]) refer to the part that is outside of it. ([tex]total[/tex]) will refer to the entirety of the secant or ([tex]inside+outside[/tex]). The numbers (1) and (2) will be used as subscripts to indicate that there are two different secants.
[tex](outside_1)(total_2)=(outside_2)(total_2)[/tex]
Substitute,
[tex](outside_1)(total_2)=(outside_2)(total_2)[/tex]
[tex](outside_1)(inside_1+outisde_1)=(outside_2)(inside_2+outside_2)[/tex]
[tex](6)(6+x+5)=(7)(7+x+1)[/tex]
Simplify,
[tex](6)(6+x+5)=(7)(7+x+1)[/tex]
[tex]6(x+11)=7(x+8)[/tex]
[tex]6x+66=7x+56[/tex]
Inverse operations,
[tex]6x+66=7x+56[/tex]
[tex]66=x+56[/tex]
[tex]10=x[/tex]
Help with step by step solution please
Answer:
5/2
Step-by-step explanation:
The square root of 5 divided by the negative square root of 5 equals -1. 7/2 - 1 = 5/2.
Suppose you invest $2200 at an annual interest rate of 5.3% compounded continuously. How much will you have in the account after 7 years?
Type your answers and then click Done.
What is the value of P?
Fill in the blank text field 1
What is the value of r in decimal form?
Fill in the blank text field 2
What is the value of t?
Answer:
2200, 0.053 and t=7
Step-by-step explanation:
Intrest will be 3158. 1
Using Eulers formula, how many edges does a polyhedron with 6 faces and 6 vertices have? Eulers Formula: F+V=E+2
Answer:
10
Step-by-step explanation:
E = F + V - 2
E = edges
F = faces = 6
V = vertices = 6
E = 6 + 6 - 2
E = 12 -2
E = 10
Let V(x) = -x2 + 2x - 4 and W(x) = -~3 + 2x2 + x +, 5. Find
V(x) + W(x).
ASAP
Answer:
-x3+x2+3x+1
Step-by-step explanation:
V(x) + W(x) = -x2 + 2x - 4 + -x3 + 2x2 + x + 5= -x3+x2+3x+1
I need help!!
Find the height of this cone using the Pythagorean Theorem.
Answer:
h = 4sqr(3)
Step-by-step explanation:
r = d/2
d = 8
r = 8/2
r = 4
a = 4
c = 8
b = h = ?
a^2 + h^2 = c^2
4^2 + h^2 = 8^2
16 + h^2 = 64
h^2 = 64 - 16
h^2 = 48
sqrt(h^2) = sqrt(16*3)
h = 4 sqrt3)
Answer:
48
Step-by-step explanation:
I need help plz anyone I don't understand this at all.
Answer:
jejejjejejr
Step-by-step explanation:
uejejjejejjsjs
determine the general term of this sequence -15:-11;-7;,,173
Answer:
UWUNOE BRO HUUZEM HIHUDHS
Step-by-step explanation:
150 cm
7xcm
24x cm
The right-angled triangle in the diagram has sides of length 7x cm, 24x cm and 150 cm
a Show that x= 36.
9514 1404 393
Answer:
can't be done. x = 6, not 36
Step-by-step explanation:
Without the diagram we must speculate that the 150 cm length is the hypotenuse. Then we have ...
150² = (7x)² +(24x)² = (49 +576)x² = 625x² . . . . Pythagorean relation
150²/625 = x² = 36 . . . . . divide by 625
x = √36 . . . . . . . . . . . take the square root
x = 6
Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a
mean of 450 seconds and a standard deviation of 50 seconds.
Suppose there are 97 emergencies in that town.
In about how many emergencies are the response times expected between 400 seconds and 500 seconds?
31
33
47
66
Answer:
66
Step-by-step explanation:
The Empirical Rule states that 68% of data is between 1 standard deviation in a dataset of normal distribution, 95% falls between 2 standard deviations, and 99.7% between 3.
The mean is 450, and one standard deviation is between 450 ± 50 = 400 and 500. Therefore, we can say that 68% of the data falls between 400 and 500 seconds.
The data includes 97 emergencies, so we just need to find 68% of that, which is 0.68*97 = 65.96 (rounding up to 66)
There are 66 emergencies are the response times expected between 400 seconds and 500 seconds.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
mean = 450 sec
standard deviation = 50 sec
Hence, We get;
450-50 =400
450+50=500
Now, In Between 400 sec and 500 sec means one deviation above and one deviation below the mean, and it is 68%.
68% = 0.68
Thus,
0.68 x 97 = 65.96 ≈ 66
Learn more about the addition visit:
https://brainly.com/question/25421984
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A rectangular drawing is enlarged by 30%. The original dimensions of this drawing are 16cm x 24cm.
Determine the scale factor, as a fraction that represents this enlargement. What are the new, enlarged
dimensions?
Answer:
Step-by-step explanation: Scale [tex]\frac{130}{100} = \frac{13}{10}[/tex]
New dimensions [tex]16 * 1.3 --- 24*1.3 =20.8 cm * 31.2 cm[/tex]
A computer vauled at $30,000 is depreciated to $0 value over a 6 year period. find the rate of change in the computer's value per year.
Answer:
$5000 per year
Step-by-step explanation:
Given data
initial value of the computer= $30000
Final value = $0
Duration= 6years
Hence the rate of change in the value per year is
=30000/6
=$5000 per year
6.
Ahmad claims that the difference of squares method of factoring can be used even when the values aren't perfect squares. An example of his thinking is shown.
Answer:
Below.
Step-by-step explanation:
a. (x - √5)(x + √5)
= x(x + √5) - √5(x + √5)
= x^2 + √5x - √5x - 5
= x^2 - 5.
b. 10 - 3x^2
= (√10 - √3x) (√10 + √3x)
(a) Ahmad's factorization is correct.
(b) (√10 - √3x)(√10 + √3x)
Given equation as
x² - 5 = (x - √5)(x + √5)
What is a Perfect Square?
A Perfect Square is defined as when multiplying an integer by itself, we get a perfect square, which is a positive integer. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves.
Solution of (a)
Taking RHS from the given equation
⇒ (x - √5)(x + √5)
⇒ x(x + √5) - √5(x + √5)
⇒ x² + √5x - √5x - 5
⇒ x² - 5.
So, RHS = LHS
Hence, Ahmad's factorization is correct.
Solution of (b)
⇒ 10 - 3x²
According to Ahmad's strategy
⇒ √10(√10 + √3x) - √3x(√10 + √3x)
⇒ (√10 - √3x)(√10 + √3x)
Learn more about perfect square here:
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using the graph, determine the coordinates of the roots of the parabola
Answer:
(-8, 0) and (-2, 0)
Step-by-step explanation:
The root of a parabola are the places at which the parabola intersects the x-axis. As one can see, on the graph these points are the following: (-8, 0) and (-2, 0). Thus, the roots of the parabola are (-8, 0) and (-2, 0).
Answer:
-8 and -2
Step-by-step explanation:
Hello!
The roots of the parabola are the points where the graph intersects the x-axis. The x-axis is the equation y = 0.
There are two roots for this parabola, as the vertex is lower than y=0, and it opens up.
The two points of intersection are:
(-8,0)(-2,0)Therefore, the roots of the parabola are -8 and -2.
eexpres -25/60 as a rational number whose denominator is -12
Which of the following sets represent D ∪ E?
{2, 4, 5, 6, 8, 15}
{2, 4, 5, 6, 8, 10, 15, 20}
{10, 20}
{3, 7, 9, 11}
Answer:
{2,4,5,6,8,10,15,20}
Answer:
{ 2,4,5,6,8,10,15,20}
Step-by-step explanation:
D ∪ E
This means the union of the two sets or what is in both circles with no duplicates
{ 2,4,5,6,8,10,15,20}
câu nào không phải mệnh đề
A. 3+2=7
B. 4+x
Answer:
b because it is an expressio n
Step-by-step explanation:
Pls help area geometry! I’ve got 40 steps to do in a day :(
Answer:
26 cm^2
Step-by-step explanation:
(b*h)/2 is the area formula of a triangle (use it for your other questions!)
base here is the bottom-most side, the one that is 13 degrees. the side that is 4 cm is the height.
13*4 = 52 and 52/2 = 26
Area is 26
find the measure of the indicated angle to the nearest degree
[tex]\boxed{\sf sin\theta=\dfrac{P}{H}}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{38}{53}[/tex]
[tex]\\ \sf\longmapsto sin\theta=0.7[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{1.4}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{\sqrt{2}}[/tex]
[tex]\\ \sf\longmapsto sin\theta=sin45°[/tex]
[tex]\\ \sf\longmapsto \theta=45°[/tex]
How do you make x the subject of the formula?
I need help on this one
y= 7x-1
Answer:
x=[tex]\frac{y+1}{7}[/tex]
Step-by-step explanation:
Hi there!
We want to make x the subject of the formula, which means to solve the formula for x
Here is the given formula:
y=7x-1
Our ultimate goal is to isolate x onto one side
Start by subtracting 7x from both sides
y-7x=-1
Subtract y from both sides to remove it from the left side
-7x=-y-1
Divide both sides by 7
x=[tex]\frac{-y-1}{-7}[/tex]
Simplify (factor -1 out of the numerator and denominator, then cancel it out)
x=[tex]\frac{-1(y+1)}{(-1)(7)}[/tex]
x=[tex]\frac{y+1}{7}[/tex]
Hope this helps!
Answer:
x = 1/7(y+1)
or
x = 1/7 y + 1/7
Step-by-step explanation:
y= 7x-1
Solve for x
Add 1 to each side
y+1 = 7x-1+1
y+1 = 7x
Divide each side by 7
1/7(y+1) = 7x/7
1/7y + 1/7 =x
Please help me solve this short problem today is my last day to complete these
Answer:
shift of 1 unit to the right
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Given the parent function is y = x² , then
y = (x - 1)² is a shift to the left of 1 unit of the parent function
