Answer:
(0, e-1) or (0, 1.718) to the nearest thousandth.
Step-by-step explanation:
The y-intercept occurs when x = 0 so here we have:
y = e^(1 - 0) - 1
= e - 1
So the y-intercept is the point (0, e-1)
What is the measure of
Answer:
30
Step-by-step explanation:
because 3 times 30 is 90,and 2 times 30 is 60 plus 30 would be equal to 180
Define the function
3
g(x) = x^3+ x
. If
f(x) = g^-1(x)
and
f(2) = 1
what is the value of
f'(2)
?
Given that
[tex]g(x) = x^3 + x[/tex]
the inverse [tex]g^{-1}(x)[/tex] is such that
[tex]g\left(g^{-1}(x)\right) = g^{-1}(x)^3 + g^{-1}(x) = x[/tex]
or
[tex]g\left(f(x)\right) = f(x)^3 + f(x) = x[/tex]
Differentiating both sides using the chain rule gives
[tex]3f(x)^2f'(x) + f'(x) = 1 \\\\ f'(x) \left(3f(x)^2+1\right) = 1 \\\\ f'(x) = \dfrac1{3f(x)^2+1}[/tex]
Then the derivative of f at 2 is
[tex]f'(2) = \dfrac1{3f(2)^2+1} = \boxed{\dfrac14}[/tex]
Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound, and
almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario
use for the mixture to cost $6.50 per pound to make?
Answer:
Marcario should use 4 pounds of macadamia nuts and 8 pounds of almonds.
Step-by-step explanation:
Marcario should use 4 pounds of macadamia nuts and 8 pounds of almonds. Explanation given cost of macadamia nuts per pound=$9
cost of almond nuts per pound=$5.25
cost of the mixture per pound=$6.5
total pounds of the mixture to be made=12
let the pounds of macadamia nuts=x
pounds of almond nuts=y
total pounds of nuts=x+y= 12
x + y = 12(1)
9x +5,25y = 6.5(x+y)
9x+5.25y=6.5*12
9x+5.25y=78(2)
solving (1) and (2)
x=4 y=8
Cody buys a baseball bat for $164.50 and a baseball glove for $37.25. He estimates the total cost of the bat and glove by rounding each cost to the nearest $10. Drag numbers to the boxes to show how Cody rounds the costs.
164.50+37.50= 201.75
gtu
What is 18×10^20.
I really want to know what 10^20 is i can do the rest on my own- I need a real number, not 1e+20.
Answer:
1,800, 000, 000 ,000, 000 ,000, 000
simplified:
1.8e+21
Step-by-step explanation:
when it says 1e+20 that means there is 20 zeroes behind it:
100, 000, 000 ,000, 000 ,000, 000
Have a nice day!
Can anyone please help me
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Answer:
(a) f(3) < g(3)
Step-by-step explanation:
Put the number where the variable is and do the arithmetic.
f(3) = 4·3³ = 4·27 = 108
g(3) = 3·4³ = 3·64 = 192
108 < 192
f(3) < g(3)
x + 3y >/3
5x + 3y -9
Click this if you are a savage
Answer:
i am
Step-by-step explanation:
pro!
uhfy1gujhqfvwtfu
Translate the sentence into an equation.
Two times the sum of a number and 4 equals 9.
Use the variable y for the unknown number.
Answer:
The equation for this sentence is: 9 = 2(4y)
Answer:
2(y + 4) = 9Step-by-step explanation:
Two times the sum of a number and 4 equals 9:
2(y + 4) = 9Convert 60 Litres to gallons
Answer:
15.18
Step-by-step explanation:
Carry on learning:)))
Help please fast the format is Y-____=_____(x - ____) and i need the actual answer
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Answer:
y -195 = 15(x -9)$60Step-by-step explanation:
The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...
y -195 = 15(x -9)
__
The "one-time fee" is the cost when hours are zero.
y -195 = 15(0 -9)
y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate
The one-time fee is $60.
PLS STOP DELITING FOR NO REASON I NEED HELP.
Answer:
They both go to equivalent
Step-by-step explanation:
10. The graph of linear equations in two variables is a
A. Straight line
B. curve line
D. half line
C. broken line
Which expression is equivalent to 1/4(5x+6)?
Answer choice :A: (5 1/4x) + (6 1/4x) B: 3/4x + 6/4 - 1/4x C:3/4x + 3/4 + 3/4 + 2/4x D: (1/4x +5) + 1/4x + 6
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Answer:
C: 3/4x + 3/4 + 3/4 + 2/4x
Step-by-step explanation:
The various expressions simplify to ...
given: 5/4x +6/4
A: 46/4x
B: 2/4x +6/4
C: 5/4x +6/4
D: 2/4x +11
Need some help on this question please provide evidence on how you came up with the answer aswell.
Answer:
No and No
Step-by-step explanation:
Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.
Answer:
Step-by-step explanation:
If we are dealing with whole real numbers.
Both answers are based on the same idea.
The product of two numbers is even only if at least one of the two multiplicands is even.
The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.
This comes from number theory where multiplication is the repeated addition of one number a certain number of times.
If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.
If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.
Can you guys pls Help me on this
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Answer:
a) x > -2
b) 7 ≤ y
c) n ≤ 20
d) g ≥ 19
e) -5 < w
Step-by-step explanation:
Recognize the following English translations:
"no more than" means "less than or equal to" (≤)
"at least" means "greater than or equal to" (≥)
With these translations and the ones shown in your figure, you have ...
a) x > -2
b) 7 ≤ y
c) n ≤ 20
d) g ≥ 19
e) -5 < w
Use the hundredths grid to answer the question.
A 10 by 10 grid is shown. 3 columns and 6 squares are red. 2 columns and 7 squares are blue.
Which of the equations is shown by the shaded area of the model?
A.
0
.
29
+
0
.
37
=
0
.
63
B.
0
.
34
+
0
.
23
=
0
.
57
C.
0
.
36
+
0
.
27
=
0
.
63
D.
0
.
24
+
0
.
33
=
0
.
57
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Answer:
C. 0.36 +0.27 = 0.63
Step-by-step explanation:
3 columns and 6 squares of a hundredths grid is a representation of ...
0.30 +0.06 = 0.36
2 columns and 7 square is a representation of ...
0.20 +0.07 = 0.27
The total shaded area is the sum of these:
0.36 +0.27 = 0.63
determine the domain and range of the function F= {(2,1),(30,-7),(34,1),(54,0)
Answer:
Domain = 2,30,34,54
Range = 1,-7,1,0
Step-by-step explanation:
Domain = x input
Range = y output
Your function is f(x) = y.
Lauren invest $8000
Answer:
what are you wanting
Step-by-step explanation:
If the temperature is 30, what is the temperature in Fahrenheit?
Answer: 86
Step-by-step explanation:
Answer:
It will be 86.0 Fahrenheit
Step-by-step explanation:
The tape diagram represents the ratio of the time you spend tutoring to the time your friend spends tutoring. You tutor for 3 hours. How many hours does your friend spend tutoring?
You
Friend
Answer:
15 Hours
Step-by-step explanation:
So you have one block, and your friend has two.
We know that you work for 3 hours, this means that your only block must represent 3 hours.
And all the blocks represent the same amount of time, then each one of the two blocks of your friend also represents 3 hours.
Then in total, he tutored for 3 hours + 3 hours = 6 hours.
Therefore, you still have only one block, but now your friend has 5.
Using the same reasoning as above, we can conclude that each block represents 3 hours, and your friend has 5 of them, this means that he tutored for:
5*3 hours = 15 hours
escribe los cinco primeros. multiplos de cada numero multiplos de 7 multiplos de 10
Answer:7 · 0 = 0 7 · 1 = 7 7 · 2 = 14
7 · 5 = 35 7 · 6 = 42 7 · 7 = 49
10 · 0 = 0 10 · 1 = 10 10 · 2 = 20
10 · 5 = 50 10 · 6 = 60 10 · 7 = 70
Step-by-step explanation:
4x + 16 ≤ 74 solve the inequality and show your work
Answer:
x ≤14.5
Step-by-step explanation:
4x+16≤74
Subtract 16 from the 74 and that gives you 58
Then divide each side by 4. 58/4=14.5
Hope this helps! sry if I get it wrong! :(
Answer: x ≤ 29/2
Explanation:
Subtract 16 from both sides
4x + 16 - 16 ≤ 74 -16
Simplify
4x ≤ 58
Divide both sides by 4
4x/4 ≤ 58/4
Simplify
x ≤ 29/2
A cyclist travels at an average speed of 15 mph for 4 hours. How far did she travel in miles?
Answer:
60 miles per hour
Step-by-step explanation:
15 mph (miles per hour) and he traveled for 4 hours so 15 per hour times 4 which is 60 and thats your answer
I got 445.1 as the answer because it says round to the nearest tenth so 446 is wrong. is 445.1 right ?
Answer:
yes your correct
Step-by-step explanation:
Determine the unknown angle measures in the figure
Answer:
angle 3- 131
angle 2- 112
angle 5- 37
angle 1- 80
angle 4- 80
hope this helps :)- please crown me brainliest!!!
Step-by-step explanation:
<2 ( exterior angle ) , and exterior angle is the sum of two opposite interior angle;<2=63°+49°= 112°.
<5= 180°-31°-112°= 37°<1+<5+63°= 180° = <1=180°-63°-37°= 80°<1=<4(vertically opposite angle) = 80°.<3+49°=180°(linear pair) = <3= 180°-49°= 131°.hope this helps you.
Instructions: Create a table of values for the given function.
Function: f(x) = -4x + 3
Answer:
Domain: {-2, -1, 0, 1, 2}
Range: {-5, -1, 3, 7, 11}
Step-by-step explanation:
Given the function, f(x) = -4x + 3:
We could simply substitute the given x-values into the function to solve for its corresponding y-values:
x = -2:
f(-2) = -4(-2) + 3
f(-2) = 8 + 3
f(-2) = 11
x = -1:
f(-1) = -4(-1) + 3
f(-1) = 4 + 3
f(-1) = 7
x = 0:
f(0) = -4(0) + 3
f(0) = 0 + 3
f(0) = 3
x = 1:
f( 1 ) = -4( 1 ) + 3
f( 1 ) = -4 + 3
f( 1 ) = -1
x = 2:
f(2) = -4(2) + 3
f(2) = -8 + 3
f(2) = -5
Attached is a screenshot of the table containing the same solution displayed in this post.
At my birthday party, the girls ate 3 1/2 pizzas and the boys at 5 1/4 pizzas. How much more pizza did the boys eat than the girls?
Answer:
2 1/4 pizzas
Step-by-step explanation: 5 - 3 =2 so put 2 then 1/2-1/4= 1/4 so 2 1/4
Solve for the height of the building when the distance between the building and a person is 27
meters and the angle of elevation from the person is 49º. Construct a diagram to help you
solve. Round your answer to the nearest meter.
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Answer:
31 m
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
With reference to the attached diagram, we have ...
tan(49°) = BG/GP
BG = GP×tan(49°) = (27 m)×tan(49°) ≈ 31.0599 m
The height of the building is about 31 meters.
[tex]\frac{5}{12} -\frac{2}{9}[/tex]