Answer:
The value of d is -3.
Step-by-step explanation:
We are given that a line that includes the two points (-8, 9) and (-10, d) have a slope of 6. We want to determine the value of d.
Recall that the formula for slope is:
[tex]\displaystyle m = \frac{\Delta y}{\Delta x}[/tex]
We know that the slope is 6. Substitute:
[tex]\displaystyle (6) = \frac{(d) - (9) }{(-10) - (-8)}[/tex]
Solve for d:
[tex]\displaystyle \begin{aligned} 6 & = \frac{d - 9}{-10 + 8} \\ \\ 6 & = \frac{d - 9}{-2} \\ \\ -12 & = d - 9 \\ \\ d & = -3 \end{aligned}[/tex]
In conclusion, the value of d is -3.
Write the equation of the line passing through the points (2,-5) and (7,-3).
Answer:
5y·2x=21
[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} [/tex]
Step-by-step explanation:
using the formula above,you will find the equation 5y–2x=21
In the following, write the binary number in base 10.
110010112
What’s the answer
1100 1011₂ = 1•2⁷ + 1•2⁶ + 1•2³ + 1•2¹ + 1•2⁰
1100 1011₂ = 128 + 64 + 8 + 2 + 1
1100 1011₂ = 203
If the property tax on a $100,000 home is $1500 what is the tax on a $120,000 home
a + 0 = a
Choose the property of real numbers that justifies the equation
There are 13 apples in a basket. 7 of these apples are green. The rest of them are red.
⃝⃝⃝ Hello there! ☆☆☆☆☆
There are 6 red apples.
We have 13 apples. 7 are green. The amount of red apples is found by:
13-7=6
:)
I hope this helps you!
[tex]GraceRosalia[/tex]
Answer:
6 red apples
Step-by-step explanation:
13 - 7 = 6
Does anyone need help for any cooking/baking
Answer:
i would like to b a k e a dan ish
Step-by-step explanation:
Calculus, derivatives. Please help! Show work, if possible. Thanks! :)
Answer:
y=-x+pi/3+sqrt(3)/2
Step-by-step explanation:
*I assume you are asking for help on part a because the other question is a calculator question.*
We want to find tangent line to y=2sin(x)cos(x) at x=pi/3.
First I prefer to use y=sin(2x). (Double angle identity: sin(2x)=2sin(x)cos(x) .)
Differentiate using chain rule:
y'=2cos(2x)
y' gives us the slope for any tangent along our curve.
So at x=pi/3, the slope is 2cos(2×pi/3)=2cos(2pi/3)=2(-1/2)=-1.
We also need to know a point our line to find the equation of our line.
At x=pi/3, y=sin(2×pi/3)=sin(2pi/3)=sqrt(3)/2.
So a point on our line is (pi/3, sqrt(3)/2).
So by point-slope form of a line we have
y-y1=m(x-x1)
y-sqrt(3)/2=-1(x-pi/3)
Distribute:
y-sqrt(3)/2=-x+pi/3
Add sqrt(3)/2 on both sides:
y=-x+pi/3+sqrt(3)/2
Answer:
y= -x+(pi/3)+(sqrt3)/2
Step-by-step explanation:
The given is y=2sin(x)*cos(x)
to take the derivative we will need to use the constant rule (which says when taking the derivative of any constant multiplied by an expression you take the derivative of the function and multiply it by the constant) and the multiplication rule to get
y'=2(sin(x)*-sin(x)+cos(x)*cos(x))
this would simplify to be
y'=-2sin^2(x)+2cos^2(x)
We then substitute in the given x value to find the slope of the tangent line at that point and get
-2sin^2(pi/3)+2cos^2(pi/3)
which simplifies to
-2*3/4+2*1/4
which is -1
Since we have the slope we need to find the y value to go with the original x so that we have a point to use in point slope form. When we substitute pi/3 into the given equation we get (sqrt 3)/2 and have the point (pi/3, sqrt3/2)
now we write the point slope form equation
y-(sqrt3)/2= -(x-pi/3)
y-(sqrt 3)/2 = -x+pi/3
y= -x+pi/3+(sqrt3)/2
you could simplify the last two terms, but I think it is simplest to understand this way.
For b, enter both equations into graphing software or a calculator
What is the inverse of the function g(x) = x^3/8 + 16 ?
Answer:
[tex] \hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]
• let f(x) be m:
[tex]{ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]
• make x the subject of the function:
[tex]{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}[/tex]
• therefore:
[tex]{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\ [/tex]
Graph the number on the number line. Then use your number line to find the
absolute value.
Answer: 9
Step-by-step explanation:
The opposite of -9 is 9.
What's the difference between -40ft and 3000ft
Answer:
2960 ft.........is the difference between -40ft and 3000ft
. Order these numbers in Descending order 28.3 1 28 3 5V25 25 4 nswer:
Answer:
28.3 28 25 5 4 3 1
Step-by-step explanation:
What is that V there for? I can fix answer if needed
simplify the expression 6y-2y(x+1)
Answer:
2. 4y-2xy
Step-by-step explanation:
6y-2y(x+1)=6y-2xy-2y
=4y-2xy
the quotient of 2 and a number x,times 3
Answer:
(2/x)3 or 3(2/x
Step-by-step explanation:
The quotient of 2 and x is expressed as 2/x Multiplied by 3 can be expressed as (2/x)3 or 3(2/x)
Which of the following statements describes the graph below?
PLS HELP.
Answer:
piecewise, continuous.
Step-by-step explanation:
This is piecewise simply because it is in pieces. Thus PIECEwise (Pun intended). This is continuous because, as you can see, there is a filled in dot on the same x coordinate as every empty dot. The empty dots mean that that value is not in that part of the graph. However, since the other parts of the function "fill the gaps," then it is continuous. I hope this helps!
It's offcourse piecewise
For continuity
Observe the graph
The domain is like
(-oo,1]U(1,2]U(2,oo)For close ineterval there is an open interval hence it's continuous
A restaurant hired 15 servers for one banquet. They pay a full-time server $21.00 per hour and a part-time server $17.00 per hour. If the labour cost of the restaurant was $275.00 per hour, how many full-time and part-time servers were there for the banquet?
Answer:
5 full time servers and 10 part-time servers
Step-by-step explanation:
Hope this helped, please let me know if it is correct.
solve the eequation show all your work g + 5 = 7 1/5
Answer:
Move all terms not containing
g
to the right side of the equation.
Exact Form:
g
=
46/5
Decimal Form:
g
=
9.2
Mixed Number Form:
g
=
9 1/5
.:
Answer:
g = 2 1/5
Step-by-step explanation
get g by itself by canceling out the 5
whatever you do to one side you have to do to the other side.
5-5 leaves you with nothing but the g on the left side of the equals sign
7 1/5 -5= 2 1/5
so your left with g= 2 1/5
g + 5 = 7 1/5
-5 -5
g = 2 1/5
A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 15 cm?
Answer: 15 cm
Step-by-step explanation: So first, do 14 squared plus 7 sqaured. The answer is 245. And now let’s compare it to 22 cm and 15 cm. 22 squared is 484 and 15 sqaured is 225. 225 is closer to 245 than 484. Therefore, 15 is the correct answer.
Gregory has a credit card with a 30-day billing cycle and an APR of 11.95%. The following table shows Gregory’s credit card transactions for the month of April.
Date
Amount ($)
Transaction
4/1
622.82
Beginning balance
4/4
45.45
Payment
4/10
78.91
Purchase
4/25
16.36
Purchase
Between the adjusted balance method and the daily balance method, which method of computing Gregory’s April finance charge will result in a greater finance charge, and how much greater will it be?
a.
The daily balance method will have a finance charge $0.09 greater than the adjusted balance method.
b.
The daily balance method will have a finance charge $0.54 greater than the adjusted balance method.
c.
The adjusted balance method will have a finance charge $1.40 greater than the daily balance method.
d.
The adjusted balance method will have a finance charge $0.86 greater than the daily balance method.
Answer:
✅B. The daily balance method will have a finance charge $0.54 greater than the adjusted balance method.i got it right on test⬇️
If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk cost?
Group of answer choices
Unit form of 13/5 divided by 4/5l
Answer:
663/20
Step-by-step explanation:
if you want simplist form its 33 3/20 or decimal its 33.15
Which is steeper & why?
A ramp with a rise of 2ft and a run of 6ft
OR
A ramp with a rise of 1ft and a run of 4ft
Mary decided she will run every 3rd day and play
tennis every 5th day. How many days until she will
run and plays tennis on the same day?
Answer: the 15th day
Step-by-step explanation:
Skip count by both numbers until you reach the first number they have
in common;
3, 6, 9, 12, 15, 28, 21, 24, 27, 30
5, 10, 15, 20, 25, 30, 35, 40
-3x-2=13
please show steps on how to do
Answer:
x=-5
Step-by-step explanation:
-5*-3=15
15-2=13
Hope it helps
Answer:
x = -5
Step-by-step explanation:
-3x-2=13
Add 2 to both sides of the equation
-3x-2+2=13+2
Simplify
-3x=15
Divide both sides of the equation by the same term
[tex]\frac{-3x}{3} =\frac{15}{-3}[/tex]
Simplify
x = -5
the present value of an annuity of 3000 for 15 years at 4.5 % per annum CI is
Answer:
3000 for 15 years at 4.5% p.a CI is. Rs. 23809.41.
Help me with question 4 and 5 plz
Also click the photo to see the full question
Answer:
CE (for number 4)
Step-by-step explanation:
sorry i don't know the answer to 5
side length of a cube with a volume of 614cm
Answer:
just get the cube root of 614
A go-karts top speed is 607,200 feet per hour. What is the speed in miles per hour?
What is the y-intercept of the graph below.
The y-intercept is 0, as that is where the line go thorugh the y-axis line.
Please help me this a important test and I’m not good at math please explain step by step so I can learn the formula for once
Answer: You"ll earn $884 because we know that 707.20 divided by 32 equals 22.1 and 22.1x40 = $884. Therefore, you"ll make $884 for 40 hours.
It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?
If it takes 1 pizza to feed 3 people and you invite 36 people, you can divide 36 by 3 to get the answer -
36/3 = 12
You will need 12 pizzas.