Answer:
y = 5x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (- 1, - 12 )
m = [tex]\frac{-12-3}{-1-2}[/tex] = [tex]\frac{-15}{-3}[/tex] = 5 , then
y = 5x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 3 )
3 = 10 + c ⇒ c = 3 - 10 = - 7
y = 5x - 7 ← equation of line
An electronics retailer wants to send codes for $10 off a pair of headphones to the subscribers of its e-mail list. The coupon code will have two letters followed by three digits. The letters A, B,C,D and the digits 6 and 9 will not be used. So, there are 22 letters and 8 digits that will be used. Assume that the letters and digits can be repeated. How many such coupon codes can be generated?
Answer:
247808 coupon codes could be generated.
I NEED HELP ASAP PLEASE
Which graph represents y=⌈x⌉over the domain 2≤x≤5 ?
1. A coordinate plane with a step function graphed with x axis increments of 1 increasing from negative 5 to 5 and with y axis in increments of 1 increasing from negative 5 to 5. A point at begin ordered pair 2 comma 2 end ordered pair. Another point at begin ordered pair 5 comma 5 end ordered pair. A line segment with open endpoint at begin ordered pair 2 comma 3 end ordered pair and closed endpoint at begin ordered pair 3 comma 3 end ordered pair. A second line segment with open endpoint at begin ordered pair 3 comma 4 end ordered pair and closed endpoint at begin ordered pair 4 comma 4 end ordered pair.
2. A coordinate plane with a step function graphed with x axis increments of 1 increasing from negative 5 to 5 and with y axis in increments of 1 increasing from negative 5 to 5. A point at begin ordered pair 5 comma 5 end ordered pair. A line segment with open endpoint at begin ordered pair 2 comma 3 end ordered pair and closed endpoint at begin ordered pair 3 comma 3 end ordered pair. A second line segment with open endpoint at begin ordered pair 3 comma 4 end ordered pair and closed endpoint at begin ordered pair 4 comma 4 end ordered pair.
3. A coordinate plane with a step function graphed with x axis increments of 1 increasing from negative 5 to 5 and with y axis in increments of 1 increasing from negative 5 to 5. A point at begin ordered pair 5 comma 5 end ordered pair. A line segment with open endpoint at begin ordered pair 1 comma 2 end ordered pair and closed endpoint at begin ordered pair 2 comma 2 end ordered pair. A second line segment with open endpoint at begin ordered pair 2 comma 3 end ordered pair and closed endpoint at begin ordered pair 3 comma 3 end ordered pair. A third line segment with open endpoint at begin ordered pair 3 comma 4 end ordered pair and closed endpoint at begin ordered pair 4 comma 4 end ordered pair.
4. A coordinate plane with a step function graphed with x axis increments of 1 increasing from negative 5 to 5 and with y axis in increments of 1 increasing from negative 5 to 5. A point at begin ordered pair 2 comma 2 end ordered pair. A line segment with open endpoint at begin ordered pair 2 comma 3 end ordered pair and closed endpoint at begin ordered pair 3 comma 3 end ordered pair. A second line segment with open endpoint at begin ordered pair 3 comma 4 end ordered pair and closed endpoint at begin ordered pair 4 comma 4 end ordered pair. A third line segment with open endpoint at begin ordered pair 4 comma 5 end ordered pair and closed endpoint at begin ordered pair 5 comma 5 end ordered pair.
Cherries cost $4/lb. Grapes cost $1.50/lb. You can spend no more than $9 on fruit, and you need at least 4 lb in all. Create a graph showing the amount of each fruit you can buy.
Answer:
Graph in attachment
let's say x=cherries and y=grapes. (desmos only does x and y :( ).
the equation would be 9=4x+1.50y
Step-by-step explanation:
Will give brainliest!
Please helpppppp!~
I don't remember if I'm suppose to divide -12 by 7 or wut!
Answer:
you do not divide
Step-by-step explanation:
i don't think
Answer:
s = -88
Step-by-step explanation:
multiply -12 by 7 to get -84
subtract 4 from -84 to get -88
s = -88
in 2000, people charged 1,243 billion on the most used used type of credit card. In 2005, people charged 1,838 billion on these same card types. I need to find what type of linear equation it is and need to write the equation
Answer:
Step-by-step explanation:
determine the value of t9 in a geometric sequence if t1 = 5 and r = -3
Answer:
t₉ = 32805
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]t_{n}[/tex] = t₁ [tex](r)^{n-1}[/tex]
Here t₁ = 5 and r = - 3 , then
t₉ = 5 [tex](-3)^{8}[/tex] = 5 × 6561 = 32805
solve for x -6x+14 <-28 or 9x+15 equal to -12
Answer:
i think the answer is D. there are no solutions
Answer:
A. x ≤ -3 or x > 7
Step-by-step explanation:
Solve the first equation.
-6x + 14 < -28
Subtract 14 from both sides.
-6x < -42
Divide both sides by -6. REMEMBER: when dividing an inequality by a negative number, flip the sign.
x > 7.
Solve the second equation.
9x + 15 ≤ -12
Subtract 15 from both sides.
9x ≤ -27
Divide both sides by 9.
x ≤ -3.
Your answer is A.
An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet. If the pool is filled with water to 6 inches from the top of the pool, what is the volume, to the nearest cubic foot, of the water in the pool?
Answer:
Volume= 1,017.9 ft³ .
Step-by-step explanation:
Select the correct term.?
The input or x-coordinate represents the ______ of the linear function.
Choices are:
A. Range
B. Domain
:
What is the slope of 78y+94x=80
y= 40/39-47x/30
x=40/47-39y/47
Step-by-step explanation:
The general equation of any linear equation is y = mx + c where m is yhe gradient.
78y + 94x =80
78y = -94x + 80
y = -94y/78 + 80/78
y = -47y/39 + 40/39
Therefore the slope is -47/39
I solved all this in a hurry. I hope this helps
If anyone knows please help asap!!
Answer:
u
Step-by-step explanation:
it is undefined because its a vertical line.
Answer:
slope is undefined u
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, - 3 ) and (x₂, y₂ ) = (1, 0 )
m = [tex]\frac{0-(-3)}{1-1}[/tex] = [tex]\frac{0+3}{0}[/tex] = [tex]\frac{3}{0}[/tex]
Since division by zero is undefined then the slope of the line is undefined
In the diagram a set of parallel lines are cut by a transversal.
Which of the following statements is true?
A. Angles 1 and 2 are same side interior angles
B. Angles 1 and 6 are corresponding angles
C. Angles 3 and 4 are vertical angles
D. Angles 4 and 5 are alternate interior angles
Needs to be answered ASAP
Answer:
C. Angle 3 and 4 are vertical angles
Answer:
D. Angles 4 and 5 are alternate interior angles.
Step-by-step explanation:
A cell phone provider offers a new phone for $600 with a $70 monthly plan, making the function for the average cost per month of the phone C(x)= 600+70x/x, where x is the number of months we’ll use the phone service. How many months would you need to use the phone in order for the average cost to be less than $80?
Answer:
b. 60 or more months
Step-by-step explanation:
En invierno, el precio de las manzanas subió repentinamente $0.75 por kilo. Sam compró 3 kilos de manzana al precio nuevo, por un total de $5.88
Answer:
X + 0.75 x 3 = 5.88
Step-by-step explanation:
Explicación paso a paso:
X = 1k de manzanas
0.75 = lo que aumenta el valor de X
3 = los 3k de manzanas que equivalen a 5.88 como resultado
esa es la ecuacion, solo queda resolverla despejando las X del kilo para descubrir cuanto cuesta un solo kilo de manzanas
The cost of the apples was $1.21 per kg before winters.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have in winters, the price of apples suddenly rose by $0.75 per kilo. Sam bought 3 kilos of apples at the new price, for a total of $5.88.
Assume that the cost before winters be $x per kg. Then, during the winters, the cost would be $(x + 0.75) per kg.
Now -
3 kg of apple cost $5.88
1 kg of apple will cost $(5.88/3) = $1.96 per kg
So, we can write -
(x + 0.75) = 1.96
x = 1.21
Therefore, the cost of the apples was $1.21 per kg before winters.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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[Refer to the question in english below -
In winter, the price of apples suddenly rose by $0.75 per kilo. Sam bought 3 kilos of apples at the new price, for a total of $5.88. Find the price before the price rose in winters]
can u please do step by step with this problem`-5(x-4)
Answer:
-5x+20
Step-by-step explanation:
Distribute the -5: -5(x) and -5(-4)
-5x+20
Since you cannot combine like terms, this is your final answer
Answer:
-5 × 4x = -20x
Step by Step Explanation:
Start with parenthesis
x - 4 = 4x
Multiply
-5 × 4x = -20x
Kaitlin makes house calls. For each, she is paid a base amount and makes additional money for each hour she works. The graph below shows her pay (in dollars) versus the number of hours worked.
Use the graph to answer the questions.
their mom got her math tutor because she scored a 65 on her first math test after getting some extra help he's for 269 on the second 73 on the third test and a 77 on the 4th test is this pattern continues on what test will Sarah get a 93
Answer:
n = 8
Sarah will get a 93 on her 8th test.
Step-by-step explanation:
An = A1 + (n-1)d
93 = 65 + (n-1) 4
93 = 65 + 4n - 4
93 -65 + 4 = 4n
32/4 = n
Alex drives at an average speed that is 1 3 of the average speed that Roy's train travels. Alex takes 30 minutes to travel 35 km in her car. Roy travels for 2 hours and 15 minutes on his train. How far does Roy travel to 2 dp?
Answer:472.5
Step-by-step explanation:
Which is the graph of linear inequality
2y > x - 2
To graph the linear inequality 2y > x - 2, we need to rewrite it in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
First, let's isolate y on one side by dividing the entire inequality by 2:
y > (1/2)x - 1
Now we have the inequality in slope-intercept form. The slope is 1/2, which means the line will have a positive slope, and the y-intercept is -1, indicating that the line crosses the y-axis at (0, -1).
To graph this inequality, we draw a dotted line with a slope of 1/2 and a y-intercept of -1. Since the inequality is greater than (y >), we use a dotted line to show that points on the line itself are not included in the solution.
Next, we determine whether to shade above or below the line. Since y is greater than the line, we shade above the line. This shading represents the solution set of the inequality.
In summary, the graph of the linear inequality 2y > x - 2 is a dotted line with a positive slope of 1/2 and a y-intercept of -1, and the area above the line is shaded.
For such more question on slope-intercept
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Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend on dinner?
Answer:
$35.44
Step-by-step explanation:
29.53 * 1.2 = 35.436
$35.44
Answer:
$35.44
Step-by-step explanation:
I hope this helps!!
7+6 (mod 5) =
2+1 (mod 5) =
20 (mod 11) =
35 (mod 11) =
20 (mod 11) =
Answers:
33929======================================
Explanation:
7+6 = 13. Divide this over 5 to get 13/5 = 2 remainder 3. The quotient 2 is something we don't care about. We only worry about the remainder. Therefore 7+6 = 3 (mod 5)
-------------
2+1 = 3 (mod 5) for similar reasoning as above. 3/5 = 0 remainder 3.
-------------
20 = 9 (mod 11) since 20/11 = 1 remainder 9. Imagine you had 20 cookies and 11 friends. Each friend would get 1 whole cookie (quotient) and there could be 9 left over (remainder).
-------------
35/11 = 3 remainder 2
Or you could use repeated subtraction like so to find the remainder
35-11 = 24
24-11 = 13
13-11 = 2
The last result (2) is smaller than 11, so we stop here and this is the remainder.
Therefore, 35 = 2 (mod 11)
--------------
Here's another way to think of it. Consider you have $35 in your pocket. Let's say a store is selling trinkets for $11 each. We can pose these key questions:
What is the most number of trinkets you can buy?If you buy that max amount, how much will you have left over?The answer to the first question is 3 trinkets because 3*11 = 33 dollars is under the budget of $35. The amount left over is 35-33 = 2 dollars which is the remainder. It's not larger than 11, so we cannot buy any more trinkets at this point.
helpp me pleasse im going to cryy please respond asap
Answer:
4
Step-by-step explanation:
Can you help me with this?
Solve the equation.
[tex]\sqrt{(x+2)(x-3)} =0[/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{(x + 2)(x - 3)} = 0 \\\\ (x + 2)(x - 3) = 0 \\\\\ x^2 - 3x + 2x - 6 = 0 \\\\ x^2 - x - 6 = 0 \\\\ \Delta = (- 1)^2 - 4.1.(- 6) \\\\ \Delta = 1 + 24 \\\\ \Delta = 25 \\\\ x_1 = \frac{1 + \sqrt{25}}{2} = \frac{ 1 + 5}{2} \\\\\ x_1 = 3 \\\\\\ x_2 = \frac{1 - \sqrt{25}}{2} \\\\\\ x_2 = \frac{1 - 5}{2} \\\\\ x_2 = - 2[/tex]
S = {x E R/x = 3 and x = - 2}
I hope I've helped you
At a local used car lot, one out of every three cars is red. If the car lot has 54 cars on it, how many cars are red
Answer:
If there are 54 cars, that would mean about 18 would be red.
Please tell me what is 5 to the second power
Answer:
25
Step-by-step explanation:
brainliest please!
find g(4x)
g(x)=x²-4
Answer:
g(x) = x² - 4 is already in form of a variable, I.e., x
g(4x) takes another variable, I.e., 4x
Same as before, 4x takes over x:
=> g(4x) = (4x)² - 4
(ax)² = a²x², where a is some arbitrary constant. Answer:=> g(4x) = 16x² - 4
OR
=> g(4x) = 4{4x² - 1}
[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]
Given g(x) = x² - 4 which is function of x and changes with the value of xNow we have g(4x). This means, we have to replace x by 4x and correspondence to this, the equation will change. I.e.
⇛ g(4x) = (4x)² - 4
⇛ g(4x) = 16x² - 4 / 4(4x² - 1) [answer]
9.
Find b.
A.
16
B.
26
c. 76
D.
104
52
30
a
Answer:
no
Step-by-step explanation:
no
A chemical reaction takes place in which energy is absorbed. Arrange the characteristics of the reaction in order from start to finish.
lower energy of reactants
higher energy of products
higher energy of reactants
transition state
lower energy of products
↓
↓
Answer: https://brainly.com/question/2463824
