Answer:
y - 8 = 3(x - 8)
Step-by-step explanation:
Point-Slope Form: y + y₁ = m(x + x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Step 1: Define
Point (-8, -8)
Slope m = 3
Step 2: Write in point-slope form
y - 8 = 3(x - 8)
By considering the discriminant, find the
value of the constant p such that the
following equation has equal/repeated
solutions.
4x2 + 8x + p = 0
Answer:
p = 4Step-by-step explanation:
A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.
The formula of a discriminant (Δ) of equation
[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]
We have the equation
[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]
substitute
[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]
subtract 64 from both sides
[tex]-16p=-64[/tex]
divide both sides by (-16)
[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]
Not sure how to do this
A shopekeeper sells one machine for 990 rupees at profit 10% and another machine for 1960 rupees at loss of 2% what is his gain or loss percentage
SP of a machine = Rs. 990
Profit% = 10 %
SP of other machine = Rs. 1960
loss% = 2 %
Find:his gain or loss percentage
Solution:We know that,
CP * (100 + profit%)/100 = SP
So,
First machine :
CP * (100 + 10)/100 = 990
⟹ CP = 990 * 100/110
⟹ CP = Rs. 900
Second machine :
We know that,
CP * (100 - loss%)/100 = SP
⟹ CP * (100 - 2)/100 = 1960
⟹ CP = 1960 * 100/98
⟹ CP = Rs. 2000
Now,
We have to find the total loss or profit percentage.
Total SP = 990 + 1960 = Rs. 2950 Total CP = 900 + 2000 = Rs. 2900.We observe that,
SP > CP.
so, a gain is occured.
gain % = gain/CP * 100
gain = SP - CP
So,
gain% = (2950 - 2900)/2900 * 100
⟹ gain% = 50/29
⟹ gain% = 1.72 %
∴ A gain of 1.72% is occured in the whole transaction.
I hope it will help you.
Regards.
Answer:
HELLO SISO❤
IT'S ME YIREN
Step-by-step explanation:
→ CP of machine = (SP * 100) / (100 + Profit%) = (990 * 100) / (100 + 10) = (990 * 100) / 110 = Rs. 900 . Case 2) :- shopkeeper sells another machine for Rs. 1960 at a loss of 2%
2hr+20min+60sec are equal to _____ minutes
It is correct
How can I turn this into a graph in Desmos,
Answer:
in Desmos there should be a plus sign right above the list of your equations on the left side. Click that plus sign and then click "table". then enter your numbers. then your points will be shown on the graph
to turn this into a line long press on the button next "y" on the table you have made, then select "lines"
Answer:
you go to desmos and you go to the left side of the website. choose which graph you want to do. if you want to use a regression line graph, or anything else. lmk if you need help
Step-by-step explanation:
The original price of a play ticket was $36.00. Yolanda bought the ticket at original price and then marked it up 10% and resold the ticket. How
much did she resell the ticket for?
What
3-4 what is the answer I am dumb plz helq
Answer:
Its -1. Do not call yourself dumb, though, negatives are the easiest subject
Step-by-step explanation:
√600 and ∛56 and show work
Answer:
√600 is around 24.5 while ∛56 is around 3.83
Step-by-step explanation:
Method: TRIAL AND ERROR
For √600, we can follow trial and error method:
30^2 is 900, so too big
20^2 is 400, so too small
25^2 is 625, too big
24^2 is 576, too small
Considering that 600 is between 24^2 and 25^2, we can try in between:
24.5^2 is 600.25, which is very close, therefore 24.5 is the answer
For ∛56, we can also follow trial and error method:
5^3 is 125
4^3 is 64
3^3 is 27
Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;
3.7^3 is 50.6
3.8^3 is 54.8
3.9^3 is 59
3.85^3 is 57
3.84^3 is 56.6 (still larger)
3.83^3 is 56.1
So the answer is 3.83
But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.
Hope this helped. :)
~ Janice, year 10
Write the linear equation in slope intercept form y-2=1/2(x+4)
Answer:
y = 1/2x + 4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
Point-slope form; y - 2 = 1/2(x + 4)
Step 2: Rewrite
Distribute 1/2 to both sides: y - 2 = 1/2x + 2Add 2 to both sides: y = 1/2x + 4Answer:
y=1/2x+4
Step-by-step explanation:
y-2=1/2(x+4)
(distribute the 1/2)
y-2=1/2x+2
(add 2 to both sides)
y=1/2x+4
ASAP ASAP ASAP
HELP ME PLEASE
Answer:
D i'm pretty sure
Step-by-step explanation:
Answer: $2.19
Step-by-step explanation: you have to find the surface area. Add 10*7*2 and 7*1.25*2 and 1.25*10*2 and then multiply by 0.012! Then you can get your answer. (17.5 + 140 + 25)*0.012. I think this is right. Sorry if itś not.
Please help me this question is hard
Answer:
I cant see
Step-by-step explanation:
Answer:
dont have an answer yet...question too small to see...
Step-by-step explanation:
4x - 1 = 2(2x + 2)
what is the answer?
Answer:
x = undefined
Step-by-step explanation:
Expand brackets
4x - 1 = 4x + 4
Rearrange and make like terms next to each other
4x - 4x = 4 + 1
0x = 5
x = 5/0
when 0 is the denominator the answer is undefined
Answer: from what i calculated there is no solution
Step-by-step explanation:
Which of the following functions has a rate of change of 5?(2 points)
f(5)=300 and f(7)=290
f(5)=225 and f(10)=250
f(3)=278 and f(5)=320
f(2)=317 and f(5)=296
Answer:
f(5)=225 and f(10)=250
Step-by-step explanation:
Tom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feetTom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feet
Answer:
10,500.93 feet
Step-by-step explanation:
From the question, we are told that Tom walks 3.2km every morning.
1 mile = 1.609km
1 mile = 5280 feet
Step 1
1.609km = 1 mile
3.2km = x mile
Cross Multiply
x mile × 1.609km = 3.2km × 1 mile
x mile = 3.2km × 1 mile/1.609.
= 1.9888129273 miles
1 mile = 5280 feet
1.9888129273miles = y
Cross Multiply
y = 1.9888129273 × 5280 feet/1 mile
= 10500.932256 feet
Approximately = 10,500.93 feet
Therefore, Tom walks for 10,500.93 feet
10560
Answer:
10,500.93 feet
Step-by-step explanation:
Which are the partial products of 3,706 × 4?
Answer:
14824
Step-by-step explanation:
the product is 14824
which expression represents this model?
Answer:
3-6 I think
Step-by-step explanation:
Solve: −3(k − 2) = −2
Answer:8/3
Step-by-step explanation:divide both sides by -3 2 negative make a positive add 2 to both sides simplify 2/3 +2 to 8/3
Answer:
The answer is
[tex] \huge \boxed{k = \frac{8}{3} } \\ [/tex]
Step-by-step explanation:
[tex]−3(k − 2) = −2 [/tex]
Expand the terms in the bracket
That's
[tex] - 3k + 6 = - 2[/tex]
Subtract 6 from both sides of the equation
We have
[tex] - 3k + 6 - 6 = - 2 - 6 \\ - 3k = - 8[/tex]
Divide both sides by - 3
[tex] \frac{ - 3k}{ - 3} = \frac{ - 8}{ - 3} \\ [/tex]
We have the final answer as
[tex]k = \frac{8}{3} \\ [/tex]
Hope this helps you
Enter the slope-intercept equation of the line that has -2 and y-intercept (0,7)
An eagle takes off from the top of a cliff that is 125 meters high and flies upward. After t seconds, the height at which the eagle is flying is given by the equation h(t) = 125 + 1.25t2 where t is in seconds. Find the instantaneous velocity of the eagle at t = 3 seconds. Round your answer to one decimal place.
Answer:
The instantaneous velocity of the eagle at the given time is 7.5 m/s.
Step-by-step explanation:
Given;
height of the cliff, h = 125 m
the height at which the eagle is flying, h(t) = 125 + 1.25t²
The velocity of the eagle is given by;
v = dh/dt
v = 2.5t
The instantaneous velocity of the eagle at t = 3 seconds is given by;
v = 2.5(3)
v = 7.5 m/s
Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is 7.5 m/s.
What is the SLOPE-INTERCEPT form of the line that passes through the
points (-4,-1) and (3, 2.5). Make sure to choose (X1, Y1) and (x2, Y2)
carefully. Be CAREFUL with your calculations.
A student solved the equation below using the steps shown, rounding to two decimal places if necessary.
which step contains the first mistake ?
A. step 2
B. step 1
C. step 3
D. step 4
Answer:
Step 1
Step-by-step explanation:
v=u + at
u= 2
a= -5
te
Work out the value of v.
Answer:
Time taken=Velocity/acceleration
=2/5
=0.4
v=2-(-5×0.4)
=4
The value for v is 4
Answer:
v=u+at
so, u=2
a=-5
t=(not given/e)
so, v=2+(-5)(N.G/e)
v=2-5(N.G./e)
5y-30=-5y+30 and also can you show the steps :}
5y-30=-5y+30
add 30 to both sides
5y = -5y+60
add 5y to both sides
10y = 60
divide both sides by 10
y = 6
hope this helps!
Dom and Riley both want to find the change from the 6 AM temperature to the new 12 PM temperature. Dom says that you can use a number line and add the distances from 0 to the 6 AM temperature and from 0 to the new 12 PM temperature. Riley says that you can subtract -1.4 from the 12 PM temperature. Is either Dom or Riley correct? Explain your reasoning and find the change in temperature.
Answer:
Neither Dom or Riley is correct
Step-by-step explanation:
The change in temperature between 12PM and 6AM can be obtained by subtracting the 12PM temperature from the 6AM temperature because temperature increases as the hours of the day go by.
To carry out this subtraction on the number line, the following steps should be taken;
(i) Mark the numbers corresponding to 6AM and 12PM temperatures on same number line.
(ii) From the number corresponding to the 12 PM temperature, find out how many steps that are needed to reach the position of the number corresponding to the 6AM temperature.
This number of steps represents the temperature change between the 12PM temperature and the 6 AM temperature.
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x Less than or equal to 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed? Explain.
Answer:
She will leave an extra video game which weighs 0.25lb
Step-by-step explanation:
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?
Solution:
Weight of the items
hairdryer = 1.25 lb
hand-held video game = 0.6 lb
an extra video game = 0.25 lb music player = 0.4 lb
The total weight of the items
= 1.25lb + 0.25lb + 0.6lb + 0.4lb
= 2.5 lb.
Total weight - required weight
= 2.5lb - 2.25lb
= 0.25lb
2.5lb is 0.25lb greater than 2.25lb
Therefore, not all items can be added.
She has to leave out an item equivalent to 0.25lb
Item equivalent to 0.25lb is the extra video game
If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.
Answer:
The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed.
Step-by-step explanation:
The heights of six students Aaron, Betty, Carrie, Dan, Evelyn and Frank are 58 inches, 60 inches, 63 inches, 64 inches, 68 inches and 69 inches. Carrie is 4 inches shorter than Aaron. The girls (Betty, Carrie and Evelyn) are the three shortest students. Dan is one inch shorter than Frank. Betty is the shortest student. What is the sum of Frank’s height and Evelyn’s height, in inches?
Answer: 132
Step-by-step explanation: I think it is 132 because C + 4 = A, D + 1 = F, and B is shortest. so the order is FDAECB with Frank at 69 and Evelyn at 63. Carrie has to be at 60 because Aaron, who is 64, is 4 inches taller than Carrie. So, when you add 69 and 63 together, you get 132. Also just to check, Dan, who is 68, is one inch shorter than Frank, who is the tallest. This is only true because the girls are the youngest.
Answer:
132
Step-by-step explanation:
I did it on a Mathcounts competition
Make s the subject of the formula
T^2=2p+as
Step-by-step explanation:
Original formula: T^2 = 2p + as
T^2 - 2p = as
s = (T^2 - 2p) / a
is 1.908x10 to the 17 power scientific why or why not
Answer:
Yes, because the beginning number has to be between 1 and 10. If there is a 10 in the ones place, move the decimal to the left and increase the power.
put this numbers from greatest to least
0.2734, 23.74, 0.0347, 0.43,0.0043
Answer:
Step-by-step explanation:
23.74, .43, .2734, .0347, .0043
please help, and it’s ok if you don’t understand it or get it wrong, please don’t feel guilty ^-^
Answer:
i think its 4.5
Step-by-step explanation: