The true statement for f(x)=b^x is the function is always decreasing function.
We have given,
f(x)=b^x where 0<b<1
What is the domain?Domain is all possible values of x for which any function is defined
We can select any values of x for which function
It will be defined for all real x
So, the domain is [tex](-\infty,\infty)[/tex]
The range is all possible values of y for which x is defined
we are given that b is positive
The value of the function will always be positive
So, the range is [tex](0,\infty)[/tex]
y>0
The x-intercept:
Set f(x)=0 and then we can solve for x
f(x)=b^x=0
x is undefined
The x-intercept does not exist
Increasing or decreasing:
Since, 0<b<1
The b is a positive value less than 1
As we increase the value of, [tex]b^x[/tex] will keep decreasing
This is decreasing function
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Which equation represents a circle with a center at (–3, –5) and a radius of 6 units? (x – 3)2 (y – 5)2 = 6 (x – 3)2 (y – 5)2 = 36 (x 3)2 (y 5)2 = 6 (x 3)2 (y 5)2 = 36
The equation of the circle is (x + 3)² + (y + 5)² = 36. Then the correct option is B.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The center of a circle at (–3, –5) and a radius of 6 units. Then the equation will be given as
(x + 3)² + (y + 5)² = 6²
(x + 3)² + (y + 5)² = 36
Then the equation of the circle is (x + 3)² + (y + 5)² = 36.
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Answer:
D
Step-by-step explanation:
I did it B)
100 points what is the percent of change from 75 to 14 round to the nearest percent
Let's see
75-14/75×10061/75×1006100/7581.33%
Which of the following inequalities matches the graph?

Answer:
y≥-1
Step-by-step explanation:
First you have to find out whether the inequality has x or y. You can first look at the x coordinate -1. This means that x will always be equal to -1. If you look at the graph than you can see that x is only equal to -1 at one place. So now you know that y is in the inequality. To tell whether this graph is greater than or less than you can look at the line and see whether the shaded section is to the positive side or the negative side. You can see that the shaded area goes in the positive direction so you know that it is greater than.
39
The school band held a fundraiser by selling books and magazines. The diagram shows that
the numbers of books Donna and Gemma each sold are proportional to the numbers of
magazines each girl sold.
DONNA
GEMMA
KEY
= 1 Book
= 1 Magazine
What is the constant of proportionality?
A
magazine per book
B books per magazine
24 - Doano reapazine
8 Doana
36 - Genma magazines
12 – Generes boole
,
book
С
3 magazines per book
D
6 books per magazine
the answer is C 3 magazines per book
3x-2y=-3,-9x+6y=9 solve each system using elimination, state the solution and type of system.
We will see that the system of equations has infinite solutions, each of the form:
y = (3/2)*(x + 1)
How to solve the system of equations?Here we have the system:
3x - 2y = -3
-9x + 6y = 9
Notice that if we add 3 times the first equation to the second one, we get zero.
3*(3x - 2y) + -9x + 6y = 3*(-3) + 9
9x - 6y - 9x + 6y = -9 + 9
0 = 0
This actually means that both equations represent the same line, then, the "two" lines intersect in infinite points, meaning that the system of equations has infinite solutions, which are of the form:
3x - 2y = -3
2y = 3 + 3x
y = (3/2)*(x + 1)
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There are 32 students in mr.Ryan’s class. 3/4 of the students have brown hair. The rest have blond hair. How many students have blond hair
Answer:
8
Step-by-step explanation:
32/4 = 8
8 = 1/4(32)
Answer:
8
Step-by-step explanation:
Since there is 32 students and 3/4 of them have brown hair right. We can change the 3/4 fraction to a similar fraction to help. We can bump it up. As it is similar to 6/8 and 12/16 and 24/32
So 24/32 would have brown hair leaving 8 with blonde
PLEASE PLEASE HELP ME WITH THIS I NEED ASAP THESE ARE TRUE OR FALSE QUESTIONS
Are the following statements true or false? (20 Points)
a. If the domain of a uniform continuous probability density function is 8.0
then its height is = 0.1684
b.
If the domain of a uniform continuous probability density function is 8.0
then P(14.0< X<26.0) = 0.6092
c.
All normal curves are symmetric and bell-shaped.
d.
By the Empirical Rule 99.7% of the area under a normal curve is within two
standard deviations of the mean.
I
e.
All uniform density functions are symmetric and bell-shaped.
f.
The Standard Normal curve has a mean of zero and a standard deviation of one.
0075
Answer:
1. true 2. false 3. false 4. true 5. false 6. false or true
Step-by-step explanation:
you're welcome
Simplify the expression
3 (2d + 5) + 4d
Answer:
The answer is 10d + 15.
Step-by-step explanation:
Simplify the expression. Calculators are helpful for problems such as these...
Which of these ordered pairs is a solution to the inequality
y – 2x ≤ –3?
Question 3 options:
(2, 4)
(–2, 3)
(3, 4)
(1, –1)
The answer is: (1, –1)
The radius of a cylinder is 3 yards, and the total surface area is 320 square yards. Which of the following is the closest to the height of the cylinder in yards?
A) 14.0 yd
B )20.0 yd
C )15.5 yd
D) 17.0 yd
Answer:
its A 14.0
Step-by-step explanation:
Which of the following statements is true of 9 and -9?
Answer:
2&3
Step-by-step explanation:
They have the same absoulte value
You have to go 18 numbers to get from each other.
They are opposite numbers.
One is negative and one is positive.
Hope it Helps
A gallon of milk costs $2.30. What is the cost per quart?
Answer:
57.5p
Step-by-step explanation:
$2.30 / 4 = 57.5p
what is 2.5 multiplied to ten to the three power
Answer:
the answer is 2500
Step-by-step explanation:
10 ^3 =1000
next you multiply 1000 x 2.5 = 2500
Pablo wanted to see if a 12-inch straw would fit inside a small retangular box. He noticed that it only fits diagonally. The box has a height of 2 inches and width of 3 inches. What is the length of the box?
Answer:
11.61895003862225
Step-by-step explanation:
14=v/17.92+7. Solve for v
Answer:
125.44 = v
Step-by-step explanation:
14 = [tex]\frac{v}{17.92}[/tex] + 7
7 = [tex]\frac{v}{17.92}[/tex]
7(17.92) = v
125.44 = v
Hope this helps!
Answer:
[tex]v = 125.44[/tex]
Step-by-step explanation:
I assume you mean to solve [tex]14=\frac{v}{17.92}+7[/tex]Subtract 7 from both sidesThis gives [tex]7=\frac{v}{17.92}[/tex]Multiply both sides by 17.92[tex]v=125.44[/tex]Determine the length of DC.
Need the answer urgently.
Answer:
DC = 39
Step-by-step explanation:
From inspection of the diagram:
EA is tangent to both circlesDE is the radius of circle DCA is the radius of circle CThe tangent of a circle is always perpendicular to the radius, therefore:
DE ⊥ EA and CA ⊥ EA
As ∠DEB and ∠BAC are both 90°, then DE is parallel to CA.
Therefore, ∠DBE and ∠ABC are vertically opposite angles, and are therefore equal.
As triangles ΔBED and ΔBAC have two pairs of corresponding congruent angles, the triangles are similar.
Therefore:
[tex]\implies \sf \dfrac{DE}{CA}=\dfrac{EB}{BA}[/tex]
[tex]\implies \sf \dfrac{10}{5}=\dfrac{24}{BA}[/tex]
[tex]\implies \sf BA=12[/tex]
Using Pythagoras' Theorem for ΔBED to find DB:
[tex]\implies \sf DE^2+EB^2=DB^2[/tex]
[tex]\implies \sf 10^2+24^2=DB^2[/tex]
[tex]\implies \sf DB^2=676[/tex]
[tex]\implies \sf DB=\sqrt{676}[/tex]
[tex]\implies \sf DB=26[/tex]
Using Pythagoras' Theorem for ΔBAC to find BC:
[tex]\implies \sf CA^2+BA^2=BC^2[/tex]
[tex]\implies \sf 5^2+12^2=BC^2[/tex]
[tex]\implies \sf BC^2=169[/tex]
[tex]\implies \sf BC=\sqrt{169}[/tex]
[tex]\implies \sf BC=13[/tex]
Therefore, the distance between the center of the circles DC is:
[tex]\begin{aligned} \implies \sf DC & = \sf DB + BC\\& = \sf 26 + 13\\& = \sf 39\end{aligned}[/tex]
Use Pythagorean theorem
DB²=DE²+EB²DB²=10²+24²DB²=100+576DB²=676DB=26Now use proportion
DE/DB=AC/BC10/26=5/BC5/13=5/BCBC=13Now
DC=DB+BC=26+13=39
How many solutions does this equation have? 6x + 9 = 3x + 9
Answer:
Step-by-step explanation:
If an equation for example is x=5, the equation has one solution. If the equation is for example 4=4, there is an infinite amount of solutions. for your problem we would simplify the equation to get:
6x+9=3x+9
6x=3x
when dividing the x's to cancel eachother out we are left with 6=3. This means we have no solutions possible.
Answer:
in every way it's possible answer is 0!!
Step-by-step explanation:
method 1:
6x-3x=9-9
3x=0
x=0/3
x=0
method 2:
0=3x-6x+9-9
0=-3x
x=0
check
6*0+9=3*0+9
9=9
proved
Write the ratio in simplest form: there are 6 red marbles and 22 blue marbles in a jar. What is the ratio of red marbles to blue?
Answer:
3 : 11Step-by-step explanation:
Given : the ratio of red marbles to blue marbles is 6 to 22
But ,we want to write the ratio in simplest form
therefore ,we have to divide both sides of the ratio by their greatest common factor GCF.
→ So Let’s find the GCF(6 , 22)
Since 6 = 2 × 3
22 = 2 × 11
then ,GCF(6 , 22) = 2
Eventually ,the ratio 6 : 22 in its simplest form I suppose 3 : 11
If r(x) = 3x – 1 and s(x) = 2x 1, which expression is equivalent to (startfraction r over s endfraction) (6)? startfraction 3 (6) minus 1 over 2 (6) 1 endfraction startfraction (6) over 2 (6) 1 endfraction startfraction 36 minus 1 over 26 1 endfraction startfraction (6) minus 1 over (6) 1 endfraction
The expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given binary functions are.
[tex]r(x) = 3x - 1[/tex]
[tex]s(x) = 2x +1[/tex]
The expression which has to be found out is,
[tex]\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{3(6)-1}{2(6)+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{18-1}{12+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{17}{13}\right)[/tex]
Thus, the expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.
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Express in simplest form.
Answer:
[tex]3a^{2} b^{2} -6a[/tex]
Step-by-step explanation:
[tex]\frac{15a^{3}b(3ab^{2}-6 ) }{15a^{2} b}[/tex] take [tex]15a^{3}[/tex]b common
[tex]=3a^{2} b^{2}-6a[/tex] cancel like terms
Please HALP MEEEEEEE
Answer:
18[tex]\frac{3}{4}[/tex]cm^3
Step-by-step explanation:
Send helppppppppppppppp;((
Answer:
I will do only 1 sum bru.h
In the 1st sum
the 1st no. can be in 9 ways
the 2nd no. can be in 10 ways
the 3rd no. can be in 10 ways
the 4th no. can be in 10 ways
total no. of ways = 9 × 10 × 10 × 10
= 90 × 100
= 9000 ways
2nd one..
the 1st letter can be written in 4 ways
the 2nd letter can be written in 4 ways
the 3rd letter can be written in 4 ways
the 4th letter can be written in 4 ways
Total no. of ways = 4 × 4 × 4 × 4
= 16 × 16
= 196 ways
What is the equation of the line that is perpendicular to y = one-fifth x + 4 and that passes through (5,–4)?
On a coordinate plane, a line goes through (0, 4) and (5, 5). A point is at (5, negative 4).
y = negative 5 x minus 29
y = negative 5 x + 21
y = one-fifth x minus 4
y = one-fifth x minus 5
Answer:
2nd option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{5}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{5} }[/tex] = - 5 , then
y = - 5x + c ← is the partial equation
to find c substitute (5, - 4 ) into the partial equation
- 4 = - 25 + c ⇒ c = - 4 + 25 = 21
y = - 5x + 21 ← equation of perpendicular line
The figure is a parallelogram. Find the missing measures. Enter the number only. No symbols. ( can someone help me please, i will give brainliest)
Parallelograms have 2 pairs of congruent, parallel sides, and opposite angles that are congruent.
If side KL = 31, then its opposite side, side MN, must also be 31.
If angle N = 119 degrees, then its opposite angle, angle L must also be 119 degrees.
Angle L and Angle K are on the same side of the parallelogram, which means that they are supplementary angles (add up to 180).
119 + K = 180
Angle K = 61 degrees
Hope this helps!
Mahmood Qamber and Basel Alaraibi start walking at the same point, but Mahmood walks 50 feet north while Basel walks 75 feet east. How far apart are Mahmood and Basel when they stop?
Answer:
they are about 90 feet far apart from each other
Step-by-step explanation:
Here you can use the Pythagorean theorem :
[tex]\sqrt{50^{2}+75^{2}} =\sqrt{8125}[/tex]
[tex]=90.1387818866[/tex]
What is the surface area of an ice cream cone if the radius is 2 inches
CAN u pls pls pls help its easy for yall not me im slow
Answer:
A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
2.25/.5
 Hamza decides to increase the prices of all items in his shop by 10%
a)
Work out the new price of an item normally priced at £210
b)
Work out the new price of an item normally priced at £48
Answer:
a=£231
b=£32.8
Step-by-step explanation:
get the percentage multiplied by the current price to get the increase then add the increaseto the current price
Can someone please help me again! Tysm!!!
Answer:
129
Step-by-step explanation:
so they are basically the same angles but on different planes. Set them equal to each other.
14x+17=19x-23 solve for x
40=5x isolate x by dividing by 5
x=8
check
14(8)+17=19(8)-23
129=129
...................................
Since, the fundraiser only have three prices for books($2, $5 and $10), the number of $5 book that was sold is 12.
How to form equation and solve ?The fundraiser only have 3 prices for books which are $2, $5 and $10.
There were 6 more $5 books sold than $10 books sold.
Let
x = number of $10 book sold
Therefore,
number of $5 books sold = x + 6
There are 8 more $2 book sold than $10 book sold. Therefore,
number of $2 books sold = x + 8
A total of $250 was raised.
Therefore, the total amount sold forms the following equation:
10x + 5(x + 6) + 2(x + 8) = 250
10x + 5x + 30 + 2x + 16 = 250
17x = 250 - 30 - 16
17x = 204
x = 204 / 17
x = 12
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