Please answer!!!
What is the instantaneous slope of y = eight over x at x = -3?
A. -8/3
B. 8/3
C. -8/9
D. 8/9
Answer:
C
Step-by-step explanation:
[tex]\frac{d}{dx} (8x^-1)\\-8x^{-2}\\[/tex]
using x = -3
[tex]-8(-3)^{-2}\\\frac{-8}{9}[/tex]
The instantaneous slope of the function y = 8/x at x = -3 is -8/9.
Option C is the correct answer.
We have,
To find the instantaneous slope of the function y = 8/x at x = -3, we can differentiate the function with respect to x.
Differentiating y = 8/x using the power rule, we get:
dy/dx = -8/x²
Now, we can evaluate the instantaneous slope at x = -3 by substituting the value into the derivative:
dy/dx = -8/(-3)²
= -8/9
Therefore,
The instantaneous slope of the function y = 8/x at x = -3 is -8/9.
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10.6 + 6x2 - 4
Factor the negative greatest common factor
Write an equation in slope-intercept form of the line with slope −1 that contains the point (5,−2).
Answer:
y=-x+3
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1})\\ y-(-2)=-(x-5)\\y+2=-(x-5)\\y+2=-x+5\\y+2-2=-x+5-2\\y=-x+3[/tex]
Write the number in standard form: 9.82 × 10 ³
Answer:
that would be 9820
Step-by-step explanation: 9.82, count 3 to the right beginning at the decimal and boom
Indicate whether the statement is true or false, 162.648 > 126,498
Answer:
Its true
It's a greater than sign.
Step-by-step explanation:
For which inequality would x= 2.7 not be a solution?
O X+ 14.9
O X-4<0
O 3x + 6 2 10
O 6- X21
Answer:
1st one
Step-by-step explanation:
The inequality that is not correct for x = 2.7 will be x + < 9. The correct option is A.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that the value of x is 2.7. Check all the options for x = 2.7.
Option A:-
x + 14 < 9
x < 9 - 14
x < -5 False
Option B:-
x - 4 < 0
x < 4 True
Option C:-
3x + 6 ≥ 10
3x ≥ 4
x ≥ 4/3 True
Option D:-
6 - x ≥ 1
x ≤ 5 True
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What is the distance between the point (4, 7) and its reflection over the x-axis, as shown on the graph below?
0 units
7 units
8 units
14 units
Answer:
14
Step-by-step explanation:
the x formate times xn
Answer:The answer is 14 units i got this right on my school and the person up there is right as well
Step-by-step explanation: have a great day.=D
is (8,-44) a solution to y=-7x+6
what is (-1/2) - (-2/5) ?
help please .
Answer:
-1/10
Step-by-step explanation:
Answer:
-1/10
Step-by-step explanation:
First you need a common demonator of 10
so
-1/2 --> -5/10
and -2/5 --> -4/10
using this the equation is:
-5/10 - (-4/10) which equals
-5/10 + 4/10= -1/10
The function f(t) = |98.6-x|, represents a persons's variance from normal body temperature, where x represents a person's current body temperature in degrees Fahrenheit. Medical professionals say healthy individuals should have a variance of no more than 0.5 degrees Fahrenheit.
Answer:
98.1°F ≤ x ≤ 99.1°F
Step-by-step explanation:
Given the function:
f(x) = |98.6 - x|
Variance = 0.5
98.6°F - x = ± 0.5
Lower bound :
98.6 - 0.5 ≤ x
98.1 ≤ x
Upper bound :
x ≤ 98.6 + 0.5
x ≤ 99.1
Hence,
98.1°F ≤ x ≤ 99.1°F
Which is greater 60% or ⅝
60% is greater than 5/8
A cookie recipe called for 3 3.5 cups of sugar for every 246
cups
of
flour. If you made a batch of cookies using 4 cup of flour, how many
cups
of sugar would you need?
O 54/35 cups of sugar for 4 cups of flour
O 1 19/35 cups of sugar for 4 cups of flour
O 6 6/35 cups of sugar for 4 cups of flour
O 5 2/5 cups of sugar for 4 cups of flour
Answer:
D=5 2/5 cups of sugar for 4 cups of flour
Step-by-step explanation:
I cross multiplied and man was that a lot of fractions
Average movie in the Uruled States gerveral . Cost tickets in Japan plus two tickets in Switzerlandtickets in Switzerland plus two tickets in Japan would cost \$/5.27 . How much does an average movie ticket cost in each of these countries in Japan the average costis Switzerland the average cost is $
Answer:
The average cost of a movie ticket in Japan is $17.86 and the average cost of a movie ticket in Switzerland is $13.75
Step-by-step explanation:
The question seems to be incomplete. Here is a similar question and the solution:
Average movie prices in the United States are, in general, lower than in other countries. It would cost $81.08 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $76.97. How much does an average movie ticket cost in each of these countries?
Step-by-step explanation:
Let the cost of tickets in Japan be $x and the cost of tickets in Switzerland be $y.
From the question,
It would cost $81.08 to buy three tickets in Japan plus two tickets in Switzerland. That is
3x + 2y = 81.08 ...... (1)
Also from the question,
Three tickets in Switzerland plus two tickets in Japan would cost $76.97. That is
2x + 3y = 76.97 ...... (2)
Multiply equation (1) by 2, so that we get
6x + 4y = 162.16 ...... (3)
and multiply equation (2) by 3, so that we get
6x + 9y = 230.91 ...... (4)
Now, Subtract equation (3) from equation (4), we get
5y = 68.75
y = 68.75/5
y = 13.75
Put the value of y into equation (1) to determine x
3x + 2y = 81.08
3x + 2(13.75) = 81.08
3x + 27.5 = 81.08
3x = 81.08 - 27.5
3x = 53.58
x = 53.58/3
x = 17.86
∴ x = 17.86 and y =13.75
Hence, the average cost of a movie ticket in Japan is $17.86 and the average cost of a movie ticket in Switzerland is $13.75.
Which graph represents the solution set of the system of inequalities?
−3x+y>1
{
y≥x−1
The price of a sweater was reduced from $20-$12 by the percentage was the price of the sweater reduced ?
The average price of gas cost $3.27 per gallon in the year 2008. In 2020 the average price of gas is $2.15. What is the percent decrease?
Answer:
34.2508% decrease
Step-by-step explanation:
Percent decrease = 100 x (starting value-new value/starting value)
100 x ((3.27 - 2.15)/3.27)
Answer:
$1.12
Step-by-step explanation:
$3.27-$2.15=$1.12
$1.12 + $2.15= $3.27
what is an expression equivalent to m^238/m^-79 in the form m^v, where v is an integer?
Answer:
[tex]m^{317}[/tex]
Step-by-step explanation:
In indices, the division postulate is true:
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
Apply this to the question:
[tex]\frac{m^{238}}{m^{-79}} \\= m^{238-(-79)}\\= m ^{238+79}\\= m^{317}[/tex]
Hence the expression expressed in the form [tex]m^v \ is \ m^{317}[/tex]
Add the polynomials 5x - 2 + y and -3y + 5x + 2
Anthony borrows $6.50 from a friend to pay for a sandwich and a drink at lunch. Then he borrows $3.75 from his sister to pay for a library fine. Choose an equation to express Anthony’s total debt that day.
The earth's crust is:
1.broken into several plates
2.floating on top of the mantle
3.made of granite and basalt
4.all of the above
Answer:
Well ummmmm 1
Step-by-step explanation:
Answer:
All of the above because we know that the earths crust is above the mantle AND that there are several plates, and I read in an article that the earth is made of basalt and granite
I also got this right on a test in odsseyware:-)
Step-by-step explanation:
please help due in 5 min
Answer:
True
Step-by-step explanation:
Value of the function increases as x increaes
how can I measure the length of letters
Answer:
With a really small ruler.
Step-by-step explanation:
What do you mean?
9m-4/=6+3m find the value of m
if anybody answer i will give 20 points and brainlist
Answer:
The value of m is 5/3 .
Step-by-step explanation:
=> 9m -4 = 6 + 3m.
=> 9m - 3m = 6 + 4.
=> 6m = 10.
=> m = 10/6.
=> m = 5/3 .
5/8 - 5/24
I am doing some homework my brain isnt working right now can someone help me out?
Answer:
5/12
Step-by-step explanation:
i just looked it up...
====================================================
Explanation:
Multiply top and bottom of 5/8 by 3 to get 15/24
This means 5/8-5/24 is the same as 15/24-5/24
The denominators are the same, so we can subtract the numerators to have them placed over the common denominator
15/24 - 5/24 = (15-5)/24 = 10/24
Then we reduce by dividing each part of the fraction by the GCF 2
10/2 = 5
24/2 = 12
Meaning that 10/24 = 5/12
Note how multiplying top and bottom of 5/12 by 2 leads to 10/24 again.
So overall,
5/8 - 5/24 = 5/12
You drive 14.4 miles. How many inches is that?
Answer:
912384
Step-by-step explanation:
Answer:
14.4 miles is equal to 912384 inches
Compare the ratios 4:5 and 16:20.
I need this quick
-15
-5=
help with this one?
Answer:
The answer is 3.
Step-by-step explanation:
If you divide a negative by a negative, then it equals a positive, because the two negatives cancel out.
So, -15/-5 = 3.
But, if it were -15/5 = ?
Then it would be -3, because there is only one negative, therefore it cannot cancel out.
Hope this helps! :)
Each of the four shapes represents a positive whole number. The sum of the
shapes in each row and column is displayed at the end of each row and
column. Using this information, determine the numerical value of each shape.
{
23
16
24
15
19
20
23
16
Answer:
The pentagon shape = 8
The star shape = 6
The curl shape = 3
The wave pattern shape = 5
Step-by-step explanation:
Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z
Horizontally, we have;
w + 2·x + y = 23.....(1)
2·y + 2·z = 16...........(2)
2·z + w + x = 24.. ..(3)
3·y + x = 15..............(4)
Vertically, we have;
2·x + z + y = 20.......(5)
2·y + w+ z = 19........(6)
From the above equations, we have;
From equation (4), we have x = 15 - 3·y
From equation (2), we have z = 8 - y
From equation (1), we have w = 23 - (2·(15 - 3·y) + y)
∴ w = 23 - 30 + 6·y - y = 5·y - 7
w = 5·y - 7
Substituting the above values for x, and z i equation (5) gives;
2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20
30 - 6·y + 8 - y + y = 20
6·y = 30 + 8 - 20 = 18
y = 18/6 = 3
y = 3
w = 5·y - 7 = 5×3 - 7 = 8
w = 8
z = 8 - y = 8 - 3 = 5
z = 5
x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6
x = 6
Therefore, we have;
w = The pentagon shape =8
x = The star shape =6
y = The curl shape = 3, and
z = The wave pattern shape =5
The number of each of the four given shapes filled in the rows and columns are;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
From the diagram, we see four shapes and so let us identify them with letters;
Inscribed pentagon shape = a
Star shape = b
Spiral shape = c
Waves inside rectangle shape = d
For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;
a + 2b + c = 23 .....(eq 1)
For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;
2c + 2d = 16 ......( eq 2)
For the third row, we see 1 star, one inscribed pentagon and 2 Waves inside rectangle shape. Thus;
a + b + 2d = 24 ....(eq 3)
For the fourth row, we see 3 spiral shapes and one star shape. Thus;
b + 3c = 15 ....(eq 4)
Looking at the columns, we see that;
First column;
2c + a + d = 19 ....(eq 5)
Second column, we have;
2b + c + d = 20 .....(eq 6)
From eq 4; b = 15 - 3c
From eq 2, we have; d = 8 - c
Putting them in eq 1 gives;
a + 2(15 - 3c) + c = 23
a + 30 - 6c + c = 23
a = 5c - 7
Putting d = 8 - c and a = 5c - 7 into eq 5 gives;
2c + 5c - 7 + 8 - c = 19
6c + 1 = 19
6c = 18
c = 3
Put 3 for c in a = 5c - 7
a = 5(3) - 7
a = 8
Put 3 for c in b = 15 - 3c
b = 15 - 3(3)
b = 6
Put 3 for c in d = 8 - c
d = 8 - 3
d = 5
Thus, we have;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
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help me it's due in less than an hour
Answer:
y = 5 and 1/4 + 1/5x, I think
Step-by-step explanation:
hope this helps
Anyone know how to do this???
Answer:
6
Step-by-step explanation:
Because 1 is either on top or on the bottom and 6 would be on the opposite side of 1 meanwhile the other numbers are on the sides