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write the slope intercept form of an equation though given points
through (-1, 1) and (-2, -3)
Answers
Answer:
y = 4x + 5
Step-by-step explanation:
change in y ÷ change in x = gradient
-3 - 1 = -4
-2 - -1 = -1
-4 ÷ -1 = 4
gradient = 4
equation of a line
y = mx + c
substitue values
-3 = -2(4) + c
-3 = -8 + c
5 = c
confirmation of c
1 = -1(4) + c
1 = -4 + c
5 = c (same value for c = correct)
put into equation of a line
y = 4x + 5
\(\huge\boxed{y=4x+5}\)
The slope intercept form.\(\huge\begin{array}{ccc}y=mx+b\end{array}\)\(m\) - the slope
\(b\) - y-intercept
The two point form:\(\huge\begin{array}{ccc}y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\end{array}\)
We have two points:
\(A(-1,\ 1)\to x_1=-1,\ y_1=1\\\\B(-2,-3)\to x_2=-2,\ y_2=-3\)
Substitute:
\(y-1=\dfrac{-3-1}{-2-(-1)}(x-(-1))\\\\y-1=\dfrac{-4}{-2+1}(x+1)\\\\y-1=\dfrac{-4}{-1}(x+1)\\\\y-1=4(x+1)\)
Use the Distributive Property:
\(a(b+c)=ab+ac\)
\(y-1=4x+4\)
add 1 to both sides
\(\huge\boxed{y=4x+5}\)
Related Questions
Find the total surface area of this cuboid.
Answers
Answer:
120cm
Step-by-step explanation:
it 120 cm because of length×with×hight
Which one of the following best defines the notion of the significance level of a hypothesis test?
a. The probability of rejecting H_o, whether it's true or not
b. The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true
c. The probability of the type I error
d. The probability of the type II error
Answers
C. The probability of the type I error best defines the notion of the significance position of a thesis test.
The significance position, denoted by alpha( α), is the probability of rejecting the null thesis(H_o) when it's actually true. This is also known as a type I error, which occurs when we inaptly reject a true null thesis.
Option a isn't correct because the probability of rejecting H_o, whether it's true or not, isn't fixed and depends on the sample and the chosen significance position.
Option b isn't correct because it describes the p- value, which is a affiliated conception but not the significance position. The p- value is the probability of observing a sample statistic as extreme or more extreme than the one actually attained, assuming the null thesis is true.
Option d is also not correct because it describes the probability of a type II error, which occurs when we fail to reject a false null thesis. The probability of a type II error is denoted by beta( β) and is told by factors similar as sample size and effect size.
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The area of a rectangle is represented by 63x^{3}+9x and the length is represented by 7x^{2}+1 . Find the width of the rectangle in terms of x.
Answers
Answer:
Step-by-step explanation:
\(7x^{2} +1 = 15x\) and \(63x^{2} +9x= 135x\)
so, divide because to solve for area you multiply so the opposite of multiplication is division, Anyway so \(135x/15x=9x\)
Hope this helps.
If x/y + y/x = -1 , find the value of x^3 - y^3
Answers
Answer:
0
Step-by-step explanation:
Multiplying the first equation by xy, we have ...
x^2 +y^2 = -xy
Factoring the expression of interest, we have ...
x^3 -y^3 = (x -y)(x^2 +xy +y^2)
Substituting for xy using the first expression we found, this is ...
x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0
The value of x^3 -y^3 is 0.
On january 14, edamame industries purchased supplies of $700 on account. the entry to record the purchase will include?
Answers
The entry to record the purchase will include: a debit to Supplies and a credit to Accounts Payable
What are supplies?Supplies are the small items, used in the company's overall operation. Supplies used during the period will be reported as supplies expense and the unused supplies will be reported in the balance sheet as an asset.Now, given: Purchased supplies = $500 (on account).
To find: What does entry to record the purchase include?
Now,
The supply asset will grow, which will cause a debit to be applied to it. It is believed to have been purchased on account, which increased (credited) the account for payments due.Hence, the entry to record the purchase will include: a debit to Supplies and a credit to Accounts Payable.
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Another way to write -8 + ( -4 ) =
Answers
Answer:
there are many ways you can write it
1) -8-4
2) -4-8
3)-2^2-2root2
4)2root2-2^2
Answer:
-(8 + 4) or -8 - 4 or -12
Step-by-step explanation:
If you are looking for the answer to the problem, it's negative 12. But if you are looking for other wayst to write it, the forst two answers are correct.
Please mark as brainliest
may be helpful to your discussion.
7. Here's how Mo solved the subtraction problem
635 - 813:
635
- 813
- 222
Mo did this by working from right to left, saying
5 – 3 = 2
3 - 1 = 2
6 - 8 = -2
a. Is Mo's answer right?
b. Solve
6(100) + 3(10) + 5(1)
- [8(100) + 1(10) + 3(1)]
by working with expanded forms. Discuss how
Mo's work compares with your work in expanded
forms.
Answers
Answer:
Mo's answer is wrong.
635 - 813
= -178
Step-by-step explanation:
a. Is Mo's answer right?
No, Mo's answer is incorrect
Mo did this by working from right to left, Just like Subtraction
• 3 - 5 =
We that 1 from the number in tens , add that to 3, making it 13
13 - 5 = 8
• 1 - 3 = 7
The one above becomes 0, because 1 was taken from it. We add 1 to 0, making it 10
10 - 3 = 7
• 8 - 6 = 1
The 8 above reduces to 7 because 1 has been taken from 8.
Hence: 7 - 6 = 1
635 - 813
= -178
The answer is minus 178 because, we are subtracting the bigger number form the smaller number.
b. Solve
6(100) + 3(10) + 5(1)
- [8(100) + 1(10) + 3(1)]
by working with expanded forms. Discuss how Mo's work compares with your work in expanded forms.
= -1(100) + 7(10) + 8(1)
evaluate the definite integral. use a graphing utility to verify your result. 6 1 49 − x2 0 dx
Answers
To evaluate the definite integral ∫[0,6] (49 - x^2) dx, we can apply the rules of integration. The antiderivative of 49 - x^2 with respect to x is (49x - (x^3)/3).
Using the Fundamental Theorem of Calculus, we can evaluate the definite integral by substituting the upper and lower limits of integration into the antiderivative:
∫[0,6] (49 - x^2) dx = [49x - (x^3)/3] evaluated from x = 0 to x = 6
Substituting the limits of integration:
[49(6) - (6^3)/3] - [49(0) - (0^3)/3]
= [294 - 72] - [0 - 0]
= 222
Therefore, the value of the definite integral ∫[0,6] (49 - x^2) dx is 222.
To verify this result using a graphing utility, one can graph the function f(x) = 49 - x^2 and use the integral feature to calculate the definite integral from 0 to 6. The result should match the evaluated value of 222.
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The expression
10
,
000
(
1.20
)
t
10,000(1.20)
t
represents the population of a town t years after 2000.
Select the value from each drop-down menu that best completes the sentence.
The population of the town
by
each year.
Answers
Answer:
According yo my calculations v=-92 that makes it so that 34×6÷39=124
Answer:
I Think it decreases by 10% each year.
Sorry if im wrong.
help me pleaseeeeeeeeeeee
Answers
Answer:
76
Step-by-step explanation:
180-(56+48)
put in calculator
76
Gordon invests $2,500 for 20 months at a simple interest rate of 12.4%. the amount of interest received is found by i=prt since r= 0.124. i=0.124 x p x t. what are p and t?
Answers
The p and t represent Principal and time and interest is 517.7
We are given the formula to find the interest. So, the formula is -
I = (PRT) ÷ 100
In this formula, I refers to interest, P refers to Principal, R refers to rate of interest and T refers to time. Time will be in years and division by 100 is done for rate of interest.
Keep the values in formula to calculate the interest -
As per the known fact, 12 months = 1 year
So, 20 months = (1 ÷ 12) × 20
20 months = 1.67 years
Interest = (2500 × 12.4 × 1.67) ÷ 100
Performing multiplication in numerator
Interest = 51,770 ÷ 100
Performing division to find the interest
Interest = 517.7
Hence, p refers to principal and t refers to time. The interest that Gordon will receive will be 517.7.
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Solve-3(z-6) ≥ 2z-2 for z
Answers
Answer: Z<4
Step-by-step explanation:
Rearrange the equation
-3(z-6) - (2z-2)>0
-3z+18-2z+2>0
-5z +20>0
-5(z-4)>0
divide both side by -5
z-4<0
z<4
Calculate Ocean Freight charges in Canadian dollar
We have a shipment of two different cargos:
2 skids of Apple, 100 cm x 100 cm x 150 cm, 400 kg each
3 boxes of Orange, 35" x 25" x 30", 100 kg each
Ocean freight rate to Mumbai: $250 USD / m3
1 USDD= 1.25 CND
1 m3=1000 kg
Answers
The ocean freight charges for the given shipment in Canadian dollars would be approximately 603.25 CAD.
To calculate the ocean freight charges in Canadian dollars for the given shipment, we need to follow these steps:
Step 1: Calculate the volume and weight of each cargo item:
For the skids of Apple:
Volume = 100 cm x 100 cm x 150 cm
= 1,500,000 cm³
= 1.5 m³
Weight = 400 kg each x 2
= 800 kg
For the boxes of Orange:
Volume = 35" x 25" x 30"
= 26,250 cubic inches
= 0.4292 m³
Weight = 100 kg each x 3
= 300 kg
Step 2: Calculate the total volume and weight of the shipment:
Total Volume = Volume of Apples + Volume of Oranges
= 1.5 m³ + 0.4292 m³
= 1.9292 m³
Total Weight = Weight of Apples + Weight of Oranges
= 800 kg + 300 kg
= 1,100 kg
Step 3: Convert the ocean freight rate to Canadian dollars:
Ocean freight rate to Mumbai = $250 USD / m³
Conversion rate: 1 USD = 1.25 CAD (Canadian dollars)
Freight rate in CAD = $250 USD/m³ x 1.25 CAD/USD
= 312.5 CAD/m³
Step 4: Calculate the freight charges for the shipment:
Freight charges = Total Volume x Freight rate in CAD
Freight charges = 1.9292 m³ x 312.5 CAD/m³
= 603.25 CAD
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One US dollar equic 0.84 euros. Margo is traveling and wants exchange $400 for euros. How many euros will she recelve in exchange?
Answers
If One US dollar equic 0.84 euros. Margo is traveling and wants exchange $400 for euros Margo will receive 336 euros in exchange for $400.
To find out how many euros Margo will receive in exchange for $400, we can multiply the amount in dollars by the exchange rate from dollars to euros.
Given that 1 US dollar is equivalent to 0.84 euros, we can set up the following equation:
Euros = Exchange rate * Dollars
Euros = 0.84 * $400
Calculating the right side of the equation:
Euros = 0.84 * 400
Euros = 336
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Please help
7a-4[2-(2a-1)]
Answers
Answer:
15a - 12
Step-by-step explanation:
7a - 4 [ 2 - (2a - 1) ] ← distribute parenthesis inside the bracket by - 1
= 7a - 4 [ 2 - 2a + 1 ]
= 7a - 4 (- 2a + 3) ← distribute parenthesis by - 4
= 7a + 8a - 12 ← collect like terms
= 15a - 12
Samantha often talks on her cell phone while driving. this can be distracting and increases her chance of having an accident. what would your advice be to her?
Answers
Samantha often talks on her cell phone while driving. this can be distracting and increases her chance of having an accident. Don't use the phone at all while driving.
What is rules of driving?
Always move over for pedestrians. Hold your position behind the red-lit school buses. Emergency vehicles with running sirens and flashing lights are approaching. Get rid of any outside influences. Always buckle up when you are driving.I will advise her to refrain from using her phone at all while driving.
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Hello, I'm bad at this lesson. Can you help me with this?
Answers
Answer:
See below ↓↓↓↓↓
Step-by-step explanation:
Q1)
c. ADA chord is a line that does not pass through the center of the circleQ2)
dIt gives the name of the center of the circleQ3)
BE = 2BCBC = 16/2 = 8Q4)
b. arc ABEIt covers more than 180° of the circle ⇒ major arcQ5)
a. 70°180° - 110° [remaining of the angle)4.) Convert 40.0 ul to L.
Answers
Answer: 40.0 ul = 0.000039999999999999996 L
Explanation: 40.0 ul/1,000,000=0.000039999999999999996
enter a number in the box so that the equation will have infinitely many solutions.
Answers
Answer:
5
Step-by-step explanation:
10c+15=5(2c+3)
use distributive property
10c+15=10c+15
Hope this helps!
If not, I am sorry.
Answer:
You would have to insert 5 for there to be infinite solutions.
Help me please it’s due today
Answers
Answer:
1 and 4 are correct
2, 3, and 5 are false
Hope this helps!
A basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball was on a path to reach the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?
yes, exactly 0.6 seconds after the shot is launched
yes, between 0.64 seconds and 0.65 seconds after the shot is launched
yes, between 0.84 seconds and 0.85 seconds after the shot is launched
no, shot not blocked
Answers
Answer:
Step-by-step explanation:
First, we'll find the height of the basketball at 1.7 seconds by plugging in t = 1.7 into the equation for the height of the ball:
h = 6 + 30t - 16t^2
h = 6 + 30(1.7) - 16(1.7)^2
h ≈ 24.32 feet
So the height of the basketball at 1.7 seconds is approximately 24.32 feet.
Next, we'll find the height of the leaping player's outstretched hands at 1.7 seconds by plugging in t = 1.7 into the equation for the height of the player's hands:
h = 9 + 25t - 16t^2
h = 9 + 25(1.7) - 16(1.7)^2
h ≈ 22.37 feet
So the height of the leaping player's outstretched hands at 1.7 seconds is approximately 22.37 feet.
Since the height of the basketball at 1.7 seconds (24.32 feet) is greater than the height of the leaping player's outstretched hands at 1.7 seconds (22.37 feet), the leaping player does not block the shot.
What is an equation of the line that passes through the points (4,-7) and (-4,5)
Answers
Answer:
y = -1.5x -1
Step-by-step explanation:
moves right 8
and down 12
so m = -12/8x or -1.5x
(4,-7) moves up 6, (0, -1)
can someone help me with this :( , it’s similar triangles btw
Answers
HOPE THIS HELPS YOU
I KNOW THAT THESE TRIANGLES ARE SIMILAR BY THE WAY...
Answer:
The triangles are propotional
Step-by-step explanation:
FH = 45 = 5
BC 27 3
GH = 22.5 = 5
BD 13.5 3
GF = 30 = 10 = 5
CD 18 6 3
Evan is making ham and cheese sandwiches for a party.
Each sandwich is made from 1 bread roll, 1 cheese slice and 1 ham slice.
He has bought bread rolls in packs of 9, cheese slices in packs of 6 and ham slices in packs of 8.
When Evan has finished making the sandwiches, there is nothing left in any of the packs.
What is the minimum number of packs of each ingredient that Evan could have bought?
Answers
Find the least common multiple.
List the multiples of each:
9, 18, 27, 36, 45, 54, 63, 72
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
8, 16, 24, 32, 40, 48, 56, 64, 72
The least common multiple is 72
The number of packs of each would be:
Bread rolls: 72/9 = 8
Cheese = 72/6 = 12
Ham = 72/8 = 9
Using f(x) = 5x + 4 and g(x) = x - 3,find: 1. f(g(6)) 2. g(f(-7)) 3. f(f(8)) 4. g(f(x))
Answers
Answer:
Part 1):
\(f(g(6))=19\)Part 2):
\(g(f(-7))=-34\)Part 3):
\(f(f(8))=224\)Part 4):
\(g(f(x))=5x+1\)Step-by-step explanation:
Considering the function
\(f(x) = 5x + 4\)
\(g(x) = x - 3\)
Part 1)
To evaluate \(f(g(6))\), you must find \(g(6)\)
so
\(g(x) = x - 3\)
Put x = 6
\(g(6) = 6 - 3\)
\(g(6) = 3\)
Then
\(f(g(6))=f(3)\)
\(=5(3)+4\)
\(=19\)
Therefore, \(f(g(6))=19\)
Part 2)
To evaluate \(g(f(-7))\), you must find \(f(-7)\)
so
\(f(x) = 5x + 4\)
Put x = -7
\(f(-7) = 5(-7) + 4\)
\(=-35+4\)
\(=-31\)
Then
\(g(f(-7))=g(-31)\)
\(= (-31) - 3\)
\(=-34\)
Therefore, \(g(f(-7))=-34\)
Part 3)
To evaluate \(f(f(8))\), you must find \(f(8)\)
\(f(x) = 5x + 4\)
Put x = 8
\(f(8)=5(8)+4=40+4=44\)
Then
\(f(f(8))=f(44)=5(44)+4=220+4=224\)
Therefore,
\(f(f(8))=224\)
Part 4)
Evaluate
\(g(f(x))\)
As
\(f(x) = 5x + 4\)
\(g(x) = x - 3\)
so
\(g(f(x))=g(5x+4)\)
\(=(5x+4)-3\)
\(=5x+4-3\)
\(=5x+1\)
Therefore,
\(g(f(x))=5x+1\)
What's the range of the graph? I have a menu that I could choose from and this is the option that I have.
Answers
Answer:
-∞ < x < 4
Step-by-step explanation:
→ The graph touches the y axis at 4, therefore 4 part of the range. As h ( x ) has a vertical asymptote it will never touch the line x = 1, therefore -∞.
what is the answer for this one 4x + 16 = ?
Answers
Answer:
20x
Step-by-step explanation:
20 picture cards are to be divided in some ratio between Gini and Kimi. Which of these could be the ratio?
Answers
Answer:
Step-by-step explanation:
10
20 divide by 2=10
What is 5/6 of 78kg?
Answers
Sandy purchased a dining room set for $1,140 using a 12-month deferred payment plan with an interest rate of 26.78%. She did not make any payments during the deferment period. What will the total cost of the dining room set be if she must pay off the dining room set within two years after the deferment period? (2 points) a $1,140.00 b $1,485.70 c $1,935.12 d $2,902.68
Answers
Answer: C.) $1,935.12
Step-by-step explanation:
Using the deferred annuity calculator :
Principal amount = 1140
Interest (r) = 26.78% = 0.2678
Period of payment = 2 years, compounded monthly, n = 24
Using the deferred annuity calculator ; Total balance = $1936.24
Hence, the closest cost in the option is $1,935.12