Answer:
c)3/2(8/7)^x
Step-by-step explanation:
Evaluate the functions.
1. Because 7/4 > 1 and the exponent is positive,
the function does not decay.
2.Because 4/5 < 1 and the exponent is negative,
the function does not decay.
3. Because 8/7 > 1 and the exponent is negative,
the function decays.
4. Because 9/2 > 1 and the exponent is positive,
the function does not decay.
A composite plot the functions verifies the answer.
If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger. That's because the base is greater than 1 and the x is negative.
please mark me brainliest :)
The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1
Exponential equationsThe standard form of an exponential equation is expressed as:
y = a(b)^x
where
a is the base
x is the exponent
b is the rate (determine whether the rate is growth or decay)
If the value of b is less than 1 then it is a decay function. The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1
Learn more on exponential function here: https://brainly.com/question/2456547
#SPJ6
Match the graph to the correct inequality below.
Answer:
x > -3
Its an open dot so its not the one with the line under it.
Complete the following: 2197 is the CUBE root of ______
A) Complete the table of values for y= x^2 - 4x
Answer:
y = x² - 4x
x = -1 y = 5
x = 0 y = 0
x = 1 y = -3
x = 2 y = - 4
x = 3 y = - 3
x = 4 y = 0
x = 5 y = 5
Hope this helps.
The equivalent values to complete the table are 5, -1, -4 and 0
Given the function according to the table shown:
[tex]y= x^2 - 4x[/tex]
When x = -1
[tex]y= (-1)^2 - 4(-1)\\y=1+4\\y=5[/tex]
When x = 1
[tex]y= (1)^2 - 4(1)\\y=1-4\\y=-3[/tex]
When x = 2
[tex]y= (2)^2 - 4(2)\\y=4-8\\y=-4[/tex]
when x = 4
[tex]y= (4)^2 - 4(4)\\y=16-16\\y=0[/tex]
Hence the equivalent values to complete the table are 5, -1, -4 and 0
Learn more here: https://brainly.com/question/12229583
(3×2^2)^9÷(3^3×2)^5
Answer:
exact form
8192/729
decimal
11.237
Step-by-step explanation:
cancel common factors
solve for x
8x+1=-71
Answer:
-9
Step-by-step explanation:
8x + 1 = -71
8x = -72
x = -9
Answer:
x = -9.
Step-by-step explanation:
8x + 1 = -71 Subtract 1 from both sides:
8x + 1 - 1 = -71 - 1
8x = -72
x = -72/8
x = -9.
Factor-8x^3-2x^2-12x-3 by grouping
Answer:
[tex]=-\left(4x+1\right)\left(2x^2+3\right)[/tex]
Step-by-step explanation:
[tex]-8x^3-2x^2-12x-3\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(8x^3+2x^2+12x+3\right)\\\mathrm{Factor}\:8x^3+2x^2+12x+3:\quad \left(4x+1\right)\left(2x^2+3\right)\\8x^3+2x^2+12x+3\\=\left(8x^3+2x^2\right)+\left(12x+3\right)\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}12x+3\mathrm{:\quad }3\left(4x+1\right)\\12x+3\\\mathrm{Rewrite\:}12\mathrm{\:as\:}3\cdot \:4\\=3\cdot \:4x+3\\\mathrm{Factor\:out\:common\:term\:}3\\=3\left(4x+1\right)[/tex]
[tex]\mathrm{Factor\:out\:}2x^2\mathrm{\:from\:}8x^3+2x^2\mathrm{:\quad }2x^2\left(4x+1\right)\\8x^3+2x^2\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\=8xx^2+2x^2\\\mathrm{Rewrite\:}8\mathrm{\:as\:}2\cdot \:4\\=2\cdot \:4xx^2+2x^2\\\mathrm{Factor\:out\:common\:term\:}2x^2\\=2x^2\left(4x+1\right)\\=3\left(4x+1\right)+2x^2\left(4x+1\right)\\\mathrm{Factor\:out\:common\:term\:}4x+1\\=\left(4x+1\right)\left(2x^2+3\right)\\=-\left(4x+1\right)\left(2x^2+3\right)[/tex]
Which expression represents the algebraic phrase “the sum of negative three-eighths and four times x minus nine times z”?
Answer:
-3/8 +4x -9z
Step-by-step explanation:
this should be the translated answer, the variables don't need a multiplication sign because they aren't written as numbers
Calculate the measures of variability for the data set. The range is
Help, please! An explanation would be great, I'm so confused on this question-
Answer:
a=250 and b=10
Step-by-step explanation:
a=5*100/2=250
b=200*5/100=10
Answer:
a = 250
b = 10
Step-by-step explanation:
1) a = [tex]\frac{5x^2}{2}[/tex]
Putting x = 10
a = 5(10)²/2
a = 5(100)/2
a = 250
2) b = [tex]\frac{2x^2(x-5)}{10x}[/tex]
Putting x = 10
b = 2(10)²(10-5) / 10(10)
b = 2(100)(5) / 100
b = 1000 / 100
b = 10
I need help showing my work for the picture I've attached! I already have the answer as you can see below :)
Answer:
3x²y∛y
Step-by-step explanation:
∛27x⁶y⁴= ∛3³(x²)³y³y= 3x²y∛y
Simplify an Expression
Quick
Check
Simplify each expression involving signed numbers
-7-2=
12 + (-4)= |
-3(-6) = 1
18
Answer:
-10827is the answer for your question I think
Answer:
[tex]-9[/tex]
[tex]8[/tex]
[tex]18[/tex]
Step-by-step explanation:
[tex]-7-2=-9[/tex]
[tex]12+(-4)=8[/tex]
[tex]-3(-6)=18[/tex]
WILL GIVE BRAINLIEST What are the like terms in the algebraic expression? Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b Negative a squared b and negative 6 a Negative a squared b and 5 a squared b 6 a b and 5 a squared b 6 a b and negative 6 a
Answer: B
Negative a squared b and 5 a squared b
Step-by-step explanation:
Given that:
Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,
- a^2b + 6ab - 8 + 5a^b - 6a - b
Collecting the like term by rearranging the expression
5a^2b - a^2b + 6ab - 6a - b
The like terms in the expression above are
5a^2b - a^2b.
The correct option is B:
Negative a squared b and 5 a squared b or (-a^2b and 5a^b)
Answer:
B
Step-by-step explanation:
Negative a squared b and 5 a squared b
Step-by-step explanation:
Given that:
Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,
- a^2b + 6ab - 8 + 5a^b - 6a - b
Collecting the like term by rearranging the expression
5a^2b - a^2b + 6ab - 6a - b
The like terms in the expression above are
5a^2b - a^2b.
The correct option is B:
Negative a squared b and 5 a squared b or (-a^2b and 5a^b)
78% of a number, P, is 23.4 more than 117% of another number, Q. It is further given
that is 40% of P. Find P and Q.
Answer:
Step-by-step explanation:
"78% of P" looks like this in an algebraic expression: .78P
"117% of Q" looks like this: 1.17Q
"...is 23.4 more than [above]" looks like this: [above] + 23.4
Putting that all together in one equation, knowing that the word "is" means "equals":
.78P = 1.17Q + 23.4
From there, we will now use the fact that Q is 40% of P, which looks like this:
Q = .4P
Now, using that substitution:
.78P = 1.17(.4P) + 23.4 and
.78P = .468P + 23.4 and
.312P = 23.4 so
P = 75
Going back up to what Q is equal to, we will sub in the value of P and solve for Q:
Q = .4P and P = 75, therefore,
Q = .4(75) so
Q = 30
Please help !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:15
Step-by-step explanation:
its obvious lol simple maths
Brad is practicing the piano. He spends 14 hour practicing scales and 16 hour practicing the song for his recital. Find TWO possible common denominators for 14 and 16.
Answer:
1 and 2
Step-by-step explanation:
A denominator divides a number
to find the two common denominators of 14 and 16,
first we find the factors of 14 and 16.
Factors of 14 are: 1, 2, 7, 14.
Factors of 16 are: 1, 2, 4, 8, 16.
The two common factors between this numbers that will be able to divide these numbers without remainder are 1 and 2, therefore,
the two common denominators of 14 and 16 are 1 and 2
Simplify this equation. 4m(2mn - 8m) +3n (5n-6mn)Please help me and show working as well
Answer:8m^2n - 32m^2 + 15n^2 - 18mn^2
Step-by-step explanation:
4m x 2mn = 8m^2n
4m x -8m = -32m^2
3n x 5n = 15n^2
3n x -6mn = -18 mn^2
when you add them all together,
8m^2n - 32m^2 + 15n^2 - 18mn^2
I really need help with this I don't understand it.
Answer:
(10x + 37) and (15x+7) are vertical angles which are always equal
10x + 37 = 15x +7
5x = 30
x = 6
The angle (15x +7) equals 97 and the other angle (10x + 37) also equals 97 degrees. All 4 of the angles add up to 360 degrees.
Therefore, 360 = 2z + 97 + 97
2z = 166
z = 83
Step-by-step explanation:
PLZ PLZ HELP QUICK VERY QUICK PLZ PLZ
Find the area of the semicircle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
Pi*5 squared= 78.5 (rounded to 1 decimal place)
78.5/2=38.25
I divide it by two becAuse it is a semi circle
Answer=38.25
Answer:
It is 39.25
Step-by-step explanation: Khan Academy
[tex]R = \sqrt{ \frac{ax - P}{Q + bx} } [/tex]
solve for x. Please can someone help me ASAP. I need to hand it on today.
Step-by-step explanation:
[tex]r = \sqrt{ \frac{ax - p}{q + bx} } \\ {r}^{2} = \frac{ax - p}{q + bx} [/tex]
r² (q + bx) = ax - p
qr² + bxr² = ax - p
qr² + p = ax - bxr²
qr² + p = x (a - br²)
[tex]x = \frac{q {r}^{2} + p}{a - b {r}^{2} } [/tex]
Answer:
[tex]\displaystyle x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]
Step-by-step explanation:
[tex]R=\sqrt{\frac{ax-P}{Q+bx}}[/tex]
[tex]\mathrm{Square\:both\:sides}[/tex]
[tex]R^2=\left(\sqrt{\frac{ax-P}{Q+bx}}\right)^2[/tex]
[tex]R^2=\frac{ax-P}{Q+bx}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}Q+bx[/tex]
[tex]\math{R}^2\left(Q+bx\right)=\frac{ax-P}{Q+bx}\left(Q+bx\right)[/tex]
[tex]\math{R}^2\left(Q+bx\right)=ax-P[/tex]
[tex]\math{R}^2Q+\math{R}^2bx=ax-P[/tex]
[tex]\mathrm{Subtract\:}\math{R}^2Q\mathrm{\:from\:both\:sides}[/tex]
[tex]\math{R}^2Q+\math{R}^2bx-\math{R}^2Q=ax-P-\math{R}^2Q[/tex]
[tex]\math{R}^2bx=ax-P-\math{R}^2Q[/tex]
[tex]\mathrm{Subtract\:}ax\mathrm{\:from\:both\:sides}[/tex]
[tex]\math{R}^2bx-ax=ax-P-\math{R}^2Q-ax[/tex]
[tex]\math{R}^2bx-ax=-P-\math{R}^2Q[/tex]
[tex]\mathrm{Factor}\:\math{R}^2bx-ax[/tex]
[tex]x\left(\math{R}^2b-a\right)=-P-\math{R}^2Q[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}\math{R}^2b-a[/tex]
[tex]\frac{x\left(\math{R}^2b-a\right)}{\math{R}^2b-a}=-\frac{P}{\math{R}^2b-a}-\frac{\math{R}^2Q}{\math{R}^2b-a}[/tex]
[tex]x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]
What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,78,99
Answer:
67 to be at work by the end if your here and we can go to the group and we will be in the office Andy I have to go to work and come back to you and get to you by the end of siliconeyiq and the next day or spiral ham and cheese for the day but will be in a
After proving two triangles are congruent, then one can prove parts of a triangle are congruent using the reasoning CPCTC.
True
False
Answer:
The answer is True because CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.
(Brainliest will be given) Determine which of the following descriptions is accurate.
Answer:
B the size of the circle is a function of the height of the rectangle
Step-by-step explanation:
Please tell me if it is right and give me thanks and brainleist only if right
What is the value of the rational expression below when xis equal to 3?
15 - X
9-X
Answer:
x=12
x=6
Step-by-step explanation:
15-(3)=12
9-(3)=6
Answer:
15-x is 12
9-x is 6
Step-by-step explanation:
Find the exact value using trigonometric identities.
License plates in Ontario have four letters (A-2) followed by three numbers (0-9). Letters and numbers can be repeated.
How many different license plates could be made?
676,000
480,835,200
4,569,760,000
26,000
Answer:
456976000
Step-by-step explanation:
There are 26 letters and 10 digits
4 letter then 3 numbers
26*26*26*26*10*10*10
456976000
A coordinate plane showing Nina's run. The x-axis shows Time in seconds and the y-axis shows Distance in meters. Four points plotted and labeled. The points are (4, 32), (6, 48), (8, 64), (10, 80). A two column table with four rows. The first column, Time in seconds, has the entries, 4, 6, 8. The second column, Distance in meters, has the entries, 35, 47.5, 60. Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? had a head start of meters
Answer:
Ryan had a head start of 10 meters
Answer:
Ryan had a head start of 10 meters.
Have a great day!
Step-by-step explanation:
Please mark me brainliest!
I need help with this :(
Answer:
1. 4 2. 4 3. 5 4.1
Step-by-step explanation:
first box is 4 second box is 4 third is 5 fourth is 1.
You're welcome.
Which expression has a positive value?
Negative 4 + (negative 5) (negative 6) divided by (negative 3)
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket
3 (negative 64 divided by 8) + 25
Negative 2 (negative 5) (negative 3) divided by 10
Answer:
3 (negative 64 divided by 8) + 25 = 1
Step-by-step explanation:
Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20
3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1
Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3
The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25
Answer:
C
Step-by-step explanation:
i took the test
What is the product of 8/9 and 2/7
Answer:
16/63
Step-by-step explanation:
8/9 * 2/7
Multiply the numerators
8*2 = 16
Multiply the denominators
9*7 = 63
Put the numerator over the denominator
16/63
The Answer is: 16/63
You just multiply 8/9 & 16/63
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)? Help please☹
Answer:
y=3/4x+17/4
Step-by-step explanation:
Answer:
y = (3/4)x + 17/4
Step-by-step explanation:
The slope-intercept form of the equation of the line is y = ax + b
This line passes (-3, 2) and (1, 5)
=> 2 = a(-3) + b
=> 5 = a(1) + b
Subtraction 1st equation from 2nd equation, we have:
3 = 4a
=> a = 3/4
From 2nd equation, we have: 5 = 3/4 + b
=> b = 5 - 3/4 = 17/4
=> y = (3/4)x + 17/4
Hope this helps!
