Answer:
21
Step-by-step explanation:
The average rate of change of function f(x) from x = a to x = b is
[tex] \dfrac{f(b) - f(a)}{b - a} [/tex]
Here we have
a = -1
b = 2
f(a) = f(-1) = 1
f(b) = f(2) = 64
[tex] \dfrac{f(b) - f(a)}{b - a} = [/tex]
[tex] = \dfrac{f(2) - f(-1)}{2 - (-1)} = [/tex]
[tex] = \dfrac{64 - 1}{2 + 1} [/tex]
[tex] = \dfrac{63}{3} [/tex]
[tex] = 21 [/tex]
What is the slope if the line is differeniable.
Step-by-step explanation:
you mean "differentiable" ?
well, remember, a line equation is
y = ax + b
a is the slope
it is always, ALWAYS the factor of x.
now we differentiate the line equation per dx/dy
y' = a
and that is that.
the first derivative of an equation of first degree (that means the highest exponent of the variable is 1), which is a line equation, is a constant : the factor of x.
and since the factor of x is the slope, that means that the constant result of the first derivative of the line equation is the slope.
What is the slope for this table?
Find the quotient of 15.75 and 4.5?
Answer: 3.5
Step-by-step explanation: 15.75 ÷ 4.5 3.5
Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home
Step-by-step explanation:
4 + 3 = 7
petra robyn total
210 / 7 =30
wage total
ratio
30× 4 = $120
Petra's part
30× 3 = $90
Robyn’s part
How to figure out the absolute value.
Answer:
absolute value is the same number just positive and cha never be negative.
Can someone help me with this question
Answer:
A. x=-2
Step-by-step explanation: your welcome
A. x=68. y= 75
B. x= 75. v = 68
C. x= 40, y = 68
D. x= 75. y = 70
Answer:
the answer is B. x=75 y=68
Answer:
B. x = 75, y = 68
Step-by-step explanation:
What sentence represents this equation?
912=15−x
912 is the same as a number decreased by 15.
912 is the same as 15 decreased by a number.
15 decreased by 912 is the same as a number.
A number is the same as the difference of 15 and 912.
The sentence representing the equation is 912 is the same as 15 decreased by a number.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given an equation, 912 = 15 − x
Here, 912 is equal to a number which is being subtracted from 15.
Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.
For more references on equation, click;
https://brainly.com/question/10413253
#SPJ2
Evaluate $\frac{20}{101}-\frac{20}{99}$. Express your answer in simplest form.
Write the slope-intercept form of the line with the given slope and point. m=4; (2,3)
Answer:
y=4x-5
Step-by-step explanation:
Oliver is 6 more than twice as old as Sam. If Oliver is 21 how old is Sam?
Write an equation to represent the situation.
Answer:
7.5
Step-by-step explanation:
Lets give Oliver "O", and Sam "S".
O is 6 more than twice as old as Sam
O = 2S + 6
Since Oliver is 21, we can substitute it in
21 = 2S + 6
2S = 15
S = 7.5
what are all the common factors of 15, 45, and 90?
and what are all the factors of 15, 45 and 90?
Anyone got any ideas?
Answer: 36
Step-by-step explanation:
AB = 16 cm
BC = CA = 10 cm
so it's 16 + 10 + 10 = 36
PLEASE HELPPP‼️‼️‼️‼️I WILL MARK BRAINLYEST ‼️‼️SOMEONE PLEASE ANSWER ‼️‼️
What is the length of DE?
A. 2.24
B. 2.66
C. 5
D. 1.73
Answer:
B
Step by Step Explanation:
D = (1, 1)
E = (2, 3)
Take out C immediately, as the distance is 100% not more than 3 units.
I'm going to go with the premise that wherever the letters' points on the graphs are where the letters are located.
Take out D as well because the distance is around 2 - 2.66 units, and not under (Look at what I said previously).
Now if we get a ruler and rotate it exactly to the line from D to E, we will get the answer B (This is due to angles).
Hope this answered your question or at least helped, in which case you're welcome. :D
it would be 2.24 !!!
|2x + 6| = 16
plsss helppp
Answer:
x = 5
Step-by-step explanation:
|2x + 6| = 16
=> 2x + 6 = 16
=> 2x = 16 - 6
=> 2x = 10
=> x = 5
Hoped this helped.
Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)
Step by Step please
Answer:
35.113 km per hour is the correct answer
Substitution Property of Equality
Reflexive Property of Equality
Addition Property of Equality
Division Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Angle Addition Postulate
Pick 1 for each blank PLS HURRY!!!!
What is the equation for the line in slope-intercept form?
ayo help me please im dying of math
Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3
Step-by-step explanation:
relax ! don't panic. just breathe deeply and then focus again.
a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.
this factor is given here as 3/2.
this is called common ratio, because of that building rule the ratio of 2 consecutive terms is
an/an-1 = factor = 3/2
the first term is 3.
so,
a1 = 3
a2 = a1×3/2 = 3×3/2 = 9/2
a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4
we see
an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)
and therefore
a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125
answer it pls
pls
pls
Answer:
The probability that a letter at random is from V is 5/26 or 19.23%
Please help fast Find the volume of a right circular cone that has a height of 15-3 ft and a base with a
radius of 13.9 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
3095.6 ft³
Step-by-step explanation:
Volume cone = 1/3(πr²h)
= 1/3(π(13.9)²(15.3))
= 1/3(π(193.21)(15.3))
= 1/3(2956.113π)
= 985.371π ≈ 3095.6 ft³
-Chetan K
PLEASE HELP ME ASAP
NO LINKS
Step-by-step explanation:
1)
x⁴×x^a = x¹²
you know that you can add the exponents when multiplying terms with the same base value/variable ?
because that is what we are doing here to solve it :
x^(4 + a) = x¹²
therefore,
4 + a = 12
a = 8
2)
y^b / y⁵ = y²
similar to 1), but when we divide, we subtract the exponents.
y^(b - 5) = y²
b - 5 = 2
b = 7
3)
3^c = 1/27
27 = 3³
27×3^c = 1
3³×3^c = 1
3^(3 + c) = 1
now we need to remember : x⁰ = 1.
therefore, 3⁰ = 1
3^(3 + c) = 3⁰
3 + c = 0
c = -3
4)
(m³)² = m^d
aha !
now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.
m^(3×2) = m^d
3×2 = d
6 = d
5)
7⁰ = e
remember, x⁰ = 1, so also 7⁰ = 1.
therefore, e = 1.
6)
4^-2 × 4⁹ × 4^‐5 = 4^f
so, now we need apply what we just learned to a sequence of operations :
each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :
4^(-2 + 9 - 5) = 4^f
therefore,
f = -2 + 9 - 5 = 2
Answer:
just here 4 points
Step-by-step explanation:
Calculate the missing terms in each proportion.
◼:11 = 11:121
5:2:1 = ◼:14:◼
1.5:◼:2.4 = 6:5:◼
Please Help me!
Answer:
1:11=11:121
5:2:1=35:14:7
1.5:1.25:2.4=6:5:9.6
Step-by-step explanation:
x/11=11/121 so x equals 1
5/2=x/14 so x equals 35
1.5/x=6/5 so x equals 1.25
1.25:2.4=5/x so x equals 9.6
Professor Baird wants to mix a solution
containing 10% acid with one containing 15%
acid to obtain a 20-ounce solution containing
12% acid. How many ounces of the 10% solution
should the professor use?
Answer:
The answer is 12 ounces :)
Step-by-step explanation:
Find the value of x
A. 30
B. 40
C. 50
D. 60
Answer:
B. 40
Step-by-step explanation:
We can make this an equation since the entire thing equals 360
3x+110+90+40=360
3x=120
x=40
Answer is B
Brainliest please :)
PLS HELP ME IMMA CRY ONGG GGHGHJH
Answer:
127
Step-by-step explanation:
We started at 7
We keep going up 3
multiply
[tex]3\cdot40=120[/tex] Now add [tex]120+7=127[/tex] at the 40th term
Answer:
I believe its 127?
Step-by-step explanation:
I solved this by 7+3x40 and that was my answer.
Please tell me if its wrong, if so tell me what the correct one is. :)
Have a good day!
g (r)=-5r+13
g(3) Evaluate Functions
Answer: Algebra. Evaluate the Function g (3)=-5r+13. g(3) = −5r + 13 g ( 3) = - 5 r + 13. Replace the variable r r with 3 3 in the expression. g(3) = −5⋅3+13 g ( 3) = - 5 ⋅ 3 + 13. Simplify the result. Tap for more steps... Multiply − 5 - 5 by 3 3. g ( 3) = − 15 + 13 g …
Step-by-step explanation: sorry if this does not helps please give me brainly
Walter used the iterative process to determine that âš13 is between 3. 61 and 3. 62. Analyze Walter’s estimation. Is he correct? If not, what was his mistake? Yes, Walter is correct. No, 3. 612 is less than 13. No, both 3. 612 and 3. 622 are greater than 13. No, both 3. 612 and 3. 622 are less than 13.
Iterative is used when the equations cannot be solved simply.
The given value is put in the equation to solve.
Walter estimation is incorrect.
No, both 3. 61^2 and 3. 62^2 are greater than 13.
First he checks that is 13 between 3.61 and 3.62.
But suppose he cannot because he wants to use iteration.
Suppose he squares both the numbers 3.61 and 3.62 to determine if 13 is between the two numbers.
3.61² = 13.0321 and
3.62² =13.1044
We see that when both the numbers are squared then the answer in each case is greater than 13.
Therefore 13 cannot lie as both numbers are greater than 13.
Hence 13 does not lie between 3.61 and 3.62
From the given choices the best choice is No, both 3. 61^2 and 3. 62^2 are greater than 13.
The iterative can also be understood by the following links.
https://brainly.com/question/5236989
https://brainly.com/question/20275487
The Stock Market Nadia is a stockbroker. She earns 13% commission each week. Last week, she sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answer:
34
Step-by-step explanation:
3g + h = 1
-2g + h= 10
?
Answer:
{g,h} = {-9/5,32/5}
Step-by-step explanation:
h = 2g + 10
3g + (2g+10) = 1
[1] 5g = -9
5g = - 9
g = - 9/5
g = -9/
h = 2g+10
h = 2(-9/5)+10 = 32/5
{g,h} = {-9/5,32/5}