The smallest number that's in the domain of f ° g is x = 0.
Explanation:The function f(x) = √(9x) represents the square root of 9x.
The function g(x) = x + 7 represents adding 7 to x. To find the smallest number that is in the domain of f ° g, we need to determine the values of x that satisfy both f(x) and g(x).
We can start by looking at the domain of g(x), which includes all real numbers. So any value of x will work for g(x).
Next, we need to consider the domain of f(x). Since taking the square root of a negative number is not defined in the real number system, we must ensure that 9x is positive or zero.
So we set 9x ≥ 0 and solve for x: x ≥ 0. This means any non-negative value of x will work for f(x).
Now, to find the smallest number in the domain of f ° g, we need to find the intersection of the domains of f(x) and g(x).
Since any value of x will work for g(x) and only non-negative values of x will work for f(x), the smallest number that satisfies both functions is x = 0.
If VX is the bisector of V, find the perimeter of VUW.
A 35
B. 46
C. 58
D. 70
Answer:
D. 70
Step-by-step explanation:
If VX is the bisector of V, then UX=WX.
This implies that:
[tex]3z-4=z+6[/tex]
Group similar terms:
[tex]3z-z=4+6[/tex]
[tex]2z=10[/tex]
z=5
WU=2(z+6)
WU=2(5+6)
WU=2(11)=22 units
VW=VU=5z-1
Put z=5 to get;
VW=VU=5(5)-1
VW=VU=25-1
VW=VU=24
The perimeter of VWU=24+24+22=70 units
Answer:
Perimeter of triangle VUW = 70.
Step-by-step explanation:
Since VX is angle bisector and VX is perpendicular to UW then triangle UVX is congruent to triangle WVX using ASA property.
then UV=WV...(i) {corresponding sides of congruent triangle are equal.}
and UX=WX ...(ii) {corresponding sides of congruent triangle are equal.}
then 3z-4=z+6
3z-z=6+4
2z=10
z=5
then UW=(3z-4)+(z+6)=3(5)-4+(5)+6=22
WV=5z-1=5(5)-1=24
UV=WV=24
Then perimeter of triangle VUW is
UV+WV+UW=24+24+22=70
Hence final answer is:
Perimeter of triangle VUW = 70.
Evaluate this expression for the given value of the variable 4 (d+7);d=-2
Exact Form:
d
=
−
7
−
√
47
2
,
−
7
+
√
47
2
d
=
-
7
-
47
2
,
-
7
+
47
2
Decimal Form:
d
=
−
0.07217269
…
,
−
6.92782730
…
Answer: 20
Step-by-step explanation:
d=-2
Plug in to get 4(-2+7)
Do what's in () -2+7=5
Then multiply 4(5)=20
READ ATTACHED FILE qwq
Answer:
r = 2.5
Step-by-step explanation:
The equation given says y = r * x
So, the y value would be an unknown times the given x value.
To solve for r, all you have to do is divide.
25 ÷ 10 = 2.5
12.5 ÷ 5 = 2.5
10 ÷ 4 = 2.5
2.5 is the constant of proportionality.
Specify the domain for the function !!! Math problem. 10 points - Help needed !
ANSWER
[tex]( - \infty , + \infty )[/tex]
EXPLANATION
The given function is
[tex]f(x) = 2 {x}^{4} + 4 {x}^{3} + 2{x}^{2} [/tex]
This is a polynomial function.
The domain refers to all real values for which the function is defined.
Polynomial functions are defined everywhere.
The domain is all real numbers.
Or
[tex]( - \infty , + \infty )[/tex]
This one is so hard what I supposed to do with on number???
It's actually very simple. Semicircle is a half of a circle. So the area and perimeter is also divided by 2. Also the radius is a half of diameter so 130.
[tex]Area=\frac{\pi130^2}{2}\approx\frac{53092.92}{2}=\boxed{26546.46ft^2}[/tex]
Hope this helps.
r3t40
Two lines intersecting at a right angle
form a line.
are parallel.
are perpendicular.
form a ray.
Answer: THIRD OPTION
Step-by-step explanation:
We need to remember that a right angle is an angle that measures 90 degrees.
By definition, when two or more lines intersect (or cross one another ) at a 90-degree angle, then these lines are called "Perpendicular".
Therefore, in this case, we know that these two lines intersects at a right angle (angle of 90 degrees), then, we can conclude that these lines are Perpendicular.
This matches with the third option.
Answer:
Perpendicular lines
Step-by-step explanation:
Two or more lines are called intersecting lines.That point would be on each of these lines.
A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. Using the eight-part symmetry of the area under a normal curve, what is the probability that a randomly chosen exam score is above 800?
The probability is__?
Answer:
The probability is 0.0015
Step-by-step explanation:
We know that the average [tex]\mu[/tex] is:
[tex]\mu=500[/tex]
The standard deviation [tex]\sigma[/tex] is:
[tex]\sigma=100[/tex]
The Z-score is:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
We seek to find
[tex]P(x>800)[/tex]
The Z-score is:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{800-500}{100}[/tex]
[tex]Z=3[/tex]
The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
[tex]P(x>800)=0.0015[/tex]
PLEASE HELP ASAP!!! I NEED THIS TOMORROW!!! You have to look for division problems, I have already found 19, and I need 20. PLEASE FIND THE LAST ONE!!!!!
Answer:
3rd last row, 4th from the left (132) diagonally left upwards. 132, 11, 12
Step-by-step explanation:
132 ÷ 11 =12
Please help I will mark BRAINLIEST
Answer:
55
Step-by-step explanation:
20×22=440 8 ' 55
Rewrite 4x = y +6 in slope-intercept form.
Answer:
y = 4x - 6.
Step-by-step explanation:
Slope-intercept form is y = mx + c where m = the slope and c = the y-intercept.
4x = y +6
Subtract 6 from both sides:
4x - 6 = y
we would write it as y = 4x - 6.
Answer:
Slope intercept form
y = 4x - 6
Step-by-step explanation:
Slope intercept form y = mx + b
In this case 4x = y +6
Re-write
y + 6 = 4x
Subtract 6 from both sides
y = 4x - 6 <-------Slope intercept form
approximate 0.0032876 to 3 significant figure
Answer:
0.00329
This is rounded to three significant figures.
The zeros before 32876 will not count as significant since they are before the non-zero numbers.
Answer:
0.00329
Step-by-step explanation:
The leading zero's are not significant, only there for place value.
The significant digits are 32876 ← 5 significant figures
which rounds to 329 ← 3 significant figures
0.0032876 ≈ 0.00329
M(4, 2) is the midpoint of RS. The coordinates of S are (6, 1). What are the coordinates of R?
Answer:
(2, 3)
Step-by-step explanation:
There is an easy way to solve this.
Set it up like this, where one end point is on top of the midpoint.
To get from 6 to 4, you subtract 2. So subtract 2 from 4 (that's where the x coordinate comes from). To get from 1 to 2, you add 1. So add 1 to 2 (that's where the y coordinate comes from)
If this sounds confusing, please comment and I'll help ASAP.
You’re setting sales goals for next month you base your goals on previous average sales the actual sales for the same month for the last four years have been 24 units, 30 units, 23 units, and 27 units what is the average number of units you can except to sell next month?
Answer:
26 units
Step-by-step explanation:
As the sales for the same month in past four years is given, they will be used to determine the sales for next month.
We have to find the average of previous 4 years' sale for the same month
So,
n = 4
The formula for average is:
[tex]Avg = \frac{Sum of values}{number of values}[/tex]
[tex]=\frac{ 24+30+23+27}{4}[/tex]
[tex]= \frac{104}{4}[/tex]
[tex]= 26[/tex]
26 is the average number of units that can be expected to be sold the next month ..
based on the previous average sales, one can expect to sell an average of 26 units next month.
To calculate the average number of units one can expect to sell next month based on past sales, we need to find the mean of the provided sales data. The actual sales data for the last four years are 24 units, 30 units, 23 units, and 27 units. To find the average (mean), we add up these amounts and then divide by the number of data points.
The sum of the units sold is 24 + 30 + 23 + 27 = 104 units. Since there are four years of data, we divide 104 units by 4 to get the average.
Average units sold = 104 units / 4 = 26 units.
Therefore, based on the previous average sales, one can expect to sell an average of 26 units next month.
The midpoint of the line segment with end points (-3,1) and (1,-4) is (-1,-1.5)
Yes or no?
Answer:
Answer: yes.
Step-by-step explanation:
x: (x1 + x2)/2 = (-3 + 1)/2 = -2/2 = - 1 So far so good.
y: (y1 + y2)/2 = (1 - 4 )/2 = (-3/2) = -1.5
The midpoint is (-1 , - 1.5)
True
The population of Oak Forest is increasing at a rate of 2% per year. If the population is 53,768 today, what will it be in three years?
Answer:
56,994
Step-by-step explanation: multiply the population by 0.02, round it to the nearest whole number, and then multiply that number by 3 and add it onto 53,768
The population of Oak Forest in three years will be approximately 57,091.
Explanation:To find the population of Oak Forest in three years, we can use the formula for exponential growth. The formula is: P = P0 * (1 + r)t, where P is the final population, P0 is the initial population, r is the growth rate, and t is the number of years. In this case, P0 is 53,768, r is 0.02 (2% as a decimal), and t is 3. Plugging these values into the formula, we get:
P = 53,768 * (1 + 0.02)3
Simplifying the expression inside the parentheses:
P = 53,768 * (1.02)3
Calculating (1.02)3:
P = 53,768 * 1.0604
Calculating the final population:
P ≈ 57,091
Therefore, the population of Oak Forest in three years will be approximately 57,091.
Learn more about Population growth here:https://brainly.com/question/18415071
#SPJ2
2/x-5 = 4/x
What is the value of x
Answer: x=10
Step-by-step explanation: hope it helped:)
Final answer:
The solution to the equation involves applying the quadratic formula to a rearranged version of the equation, solving for the value(s) of x. This can only be done accurately if the initial equation is correctly presented without typos.
Explanation:
The original equation presented by the student has a typo. However, using information provided, we can approach similar equations to demonstrate the solving process. For instance, the equation (2x)² = 4.0 (1 - x)² involves taking the square root of both sides to find the value of x. This involves rearranging and solving the quadratic equation that is created when you expand and combine like terms.
When solving a quadratic equation, such as ax² + bx + c = 0, we may use the quadratic formula: x = (-b ± √(b²-4ac)) / (2a), which will provide the two potential values of x. This process is crucial when the value of x is not a small enough percentage of a coefficient in the equation to use approximation methods.
If we were solving an equation like x² + 0.00088x - 0.000484 = 0, we would apply the quadratic formula to find the exact values of x.
Please help!
What is the vertex of the parabola?
y+1=−14(x−2)2
[tex]\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ 4p(y- k)=(x- h)^2 \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y+1=-14(x-2)^2\implies -\cfrac{1}{14}[y-(\stackrel{k}{-1})]=[x-\stackrel{h}{2}]^2~\hfill \stackrel{center}{(-2~,~-1)}[/tex]
Double a number increased by one is seventeen
8 Doubled Is 16
16 Increased By 1 Is 17
What is the perimeter of this red polygon? Please Help Me.
Answer:
[tex]P=338\ in[/tex]
Step-by-step explanation:
we know that
The perimeter of the red figure is equal to
[tex]P=2[22+27+22+98][/tex] ----> because the sides of the figure are tangent to the circle
[tex]P=2[169][/tex]
[tex]P=338\ in[/tex]
Answer:
Step-by-step explanation
Perimeter is sum of the measurement of all sides of a polygon . The polygon we have in this question is formed by using the tangents from a given circle .
The concept we are going to use here is that if we draw two tangents from the same point outside on a given circle, the length of both tangents are always equal .
There are 8 sides of this polygon , That means there are four pairs because length of them are equal .
So perimeter is equal to two times the sum of four sides given to us .
Perimeter = 2( 22+27+22+98)
Perimeter = 2(169)
Perimeter = 338 in
Can some one explain to me what substitution is and how to use it to solve equations?
Answer:
Step-by-step explanation:
Say that your equation is 2x+4=8, x=2
you would plug in the 2 where your x is so, 2(2) +4=8
then you'd solve regularly.
Hope my answer has helped you!
In the coordinate plane choose the grap with the conditions given.
x+y=10
Click on the graphic to choose the correct answer.
Answer:
(1,9),(3,7),(5,5) (7,2)
Answer with explanation:
The sum of two distinct variables is 10.
x + y=10
It is linear equation in two variables.
To plot this graph in two dimensional plane find two distinct points satisfying the equation.
x=0, gives , y=10 or , y=0 gives , x=10.
x=1, gives ,y=10 -1,→y=9
So,two ordered pairs lying in the coordinate system are , (0, 10) and (1, 9) or (10,0) and (1,9), you will get the equation of line.
Otherwise , you can Draw the graph of this function by writing the equation in Slope Intercept form which is as:
[tex]\frac{x}{10}+\frac{y}{10}=1[/tex]
By writing the slope intercept form of line shows that , the line passes through , (10,0) and (0,10) means cutting x axis and y axis at these two points.
Use The function f(x) is graphed below.
the graph of the function to find, f(6).
-2
-1
1
2
Answer:
f(6) = 2
Step-by-step explanation:
Since y is a function of x, that is y = f(x), f(6) implies that we shall be evaluating the value of y when the value of x is 6.
To do this we shall draw a vertical line, x = 6 and check where this line intersects with the graph of the function f(x)
The vertical line x = 6 intersects with the graph of the function f(x) on the horizontal line y = 2. The function f(x) assumes the value 2 for values of x between 4 and 8. Therefore, f(6) = 2
Answer: Last option.
Step-by-step explanation:
We know that input values of a function are the values of the variable "x" and output values of a function are the values of the variable "y".
By definition, in functions each input value have one and only one output value.
Then, find [tex]f(6)[/tex] you can see that the input value is [tex]x=6[/tex] and you need to find the corresponding ouput value (or "y")
You can observe in the figure attached that the value of "y" for [tex]x=6[/tex] is [tex]y=w[/tex], obtaining the point (6,2)
Therefore:
[tex]f(6)=2[/tex]
This matches with the last option.
98 points if you solve for me
Given: m∠ABC = m∠CBD
Prove: BC bisects ∠ABD.
Justify the steps in the flowchart proof
a.
1)definition of congruent
2)definition of bisect
3)given
4)reflexive property
b.
1)definition of congruent
2)definition of bisect
3)given
4)reflexive property
c.
1)definition of congruent
2)definition of bisect
3)given
4)reflexive property
Answer: A) given
B) definition of congruent
C) definition of bisect
Step-by-step explanation:
4n − 3 = −2 n + 9n = 2 Is 2 the solution? yes or no, how do you know?
[tex]
4n-3=-2n+9n \\
6n-3=9n \\
3n=-3 \\
n=\boxed{-1}
[/tex]
2 is not a solution but -1.
ANSWER
No, n=2 is not a solution.
EXPLANATION
The given equation is
[tex]4n - 3 = - 2n + 9n[/tex]
If n=2 is a solution, then it must satisfy this equation.
We substitite n=2 into the equation to get:
[tex]4(2)- 3 = - 2(2)+ 9(2)[/tex]
[tex]8- 3 = - 4+ 18[/tex]
[tex]5 = 14[/tex]
This statement is false
Therefore n=2 us not a solution.
Can someone help me from 18-21
#18 answer is 52
#19 answer is 152,100
and I cant make out the rest can you please write them in the comments of this answer?
What is the function graphed below?
graph in attachment
y = |x| + 1
y = |x| - 1
y = |x + 1|
y = |x - 1|
Answer: Third option
[tex]y = |x + 1|[/tex]
Step-by-step explanation:
The main function
[tex]f (x) = | x |[/tex]
has its vertex in the point (0, 0)
The function shown in the graph has its vertex in the point (-1, 0)
The transformation made to f (x) that moves its vertex one unit to the left is:
[tex]y = f (x + 1)[/tex]
After this transformation the new function is:
[tex]f (x) = | x + 1 |[/tex] Note that this function corresponds to the function plotted in the image.
Therefore the answer is the third option
The leg of a right triangle is 2 units and the hypotenus is 3 units. What is the length, in units, of the other leg?
ANSWER
[tex]x = \sqrt{5} [/tex] units
EXPLANATION
Let the other leg be x units.
According to the Pythagoras Theorem, the sum of the squares of the two shorter legs should add up to the square of the hypotenuse.
This implies that,
[tex] {x}^{2} + {2}^{2} = {3}^{2} [/tex]
[tex]{x}^{2} + 4=9[/tex]
Group the constant terms,
[tex]{x}^{2}=9 - 4[/tex]
[tex]{x}^{2}=5[/tex]
Take square root.
[tex]x = \sqrt{5} [/tex]
Which choice is equivalent to the expression below? -25
Answer:
Option A.
Step-by-step explanation:
The given expression is
[tex]-25[/tex]
According to the reflexive property of equality, all values are equal to itself.
a = a
where, a be any real number.
Using the reflexive property we can say that
[tex]-25=-25[/tex]
It means -25 is equal or equivalent to -25.
Therefore, the correct option is A.
Note: If the given expression is [tex]\sqrt{-25}[/tex], then
[tex]\sqrt{-25}=\sqrt{25}\sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt {b}][/tex]
[tex]\sqrt{-25}=5i[/tex] [tex][\because \sqrt{-1}=i][/tex]
Then the correct option is B.
Answer:5i
Step-by-step explanation:
HELP PLEASE DEADLINE
Reason 1: Given.
Reason 2: Vertical angles
Reason 3: Angle, Side, Angle(ASA)
Triangle XYZ has sides XY=3”, YZ =4”, and XZ=5”. If angle Y is a right angle, and side YZ is opposite angle X , what is the tan of angle C ?
The tan of angle C in triangle XYZ is 0.8.
Explanation:To find the tan of angle C, we first need to determine the values of angle C, side XC, and side ZC. In triangle XYZ, angle Y is a right angle, so angle C must be angle Z. Since side YZ is opposite angle X, side YZ is equal to side XC.
Using the Pythagorean theorem, we can find side XC:
XC = sqrt(XY^2 + YZ^2)
= sqrt(3^2 + 4^2)
= sqrt(9 + 16) = sqrt(25) = 5.
Now, we can calculate the tan of angle C using the formula tan(C) = opposite side (YZ) / adjacent side (XC).
Therefore, tan(C) = 4 / 5 = 0.8.