Answer:
y-intercept = -4
Step-by-step explanation:
equation of a line: y=mx+b
two points given are (5, -6.5) and (-12, 2)
first we can easily find value of m or the slope, by using the slope formula. the value of m=-0.5.
formua to find m: [tex]\frac{2-(-6.5)}{-12-5}[/tex]= -0.5
to find the value of b (the y-intercept), we need to plug in a y and x value, we are given 2 ordered pairs, you can use either one and plug x-value in for x and the y-value in for y.
if i plug in (5, -6.5), my equation looks like this: -6.5=5(-0.5)+b
then you just solve for b and it turns out to be -4.
The solution is -4
The y intercept of the line passing through the points
P ( 5 , -6.5 ) and Q ( -12 , 2 ) is -4
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 5 , -6.5 )
Let the second point be Q = Q ( -12 , 2 )
Now , the slope of the line between 2 point is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2 + 6.5 ) / ( -12 - 5 )
Slope m = - 8.5 / -17
Slope m = -1/2
Slope m = -0.5
Now , the equation of line is given as
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - ( -6.5 ) = -0.5 ( x - 5 )
On simplifying the equation , we get
y + 6.5 = -0.5x + 2.5
Subtracting 6.5 on both sides of the equation , we get
y = -0.5x - 4
The equation is of the form y = mx + b where m is the slope and b is the y-intercept
Therefore , the y intercept of the line is -4
Hence , the y intercept of the line A is -4
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If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3
Answer:
y=-f(x)-3
Step-by-step explanation:
when f is negative it is reflected over the x-axis and -3 means to translate 3 units down
y = -f(x) – 3 describes the graphed function.
When f is negative it is reflected over the x-axis.
-3 means to translate 3 units down.
How do you identify a function?By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.
What are examples of graph functions?Function Graphs.Linear. Quadratic. Cubic. Square Root. Cube Root. Absolute Value. Reciprocal.Learn more about graph functions here: https://brainly.com/question/4025726
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solve for x
11x+ 3 = X-7
Answer
x= x/11 - 10/11
Step-by-step explanation:
x over 10 take away 10 over 11
Can someone pls help me?
Answer:
BCD?
Step-by-step explanation:
find the slope of the line containing the points (4,-3) and (-1, 7)
Answer:
-2
Step-by-step explanation:
7 + 3 / -1 - 4
10/-5 = -2
slope is -2
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wow thanks is the answer
Maddie has saved $375 for a new mountain bike. Her grandmother will also give her
$215 to help pay for the bike. Which inequality can be used to find p, the price of the
bike that Maddie can afford?
Answer:
375+215 is greater than or equal to p
Step-by-step explanation:
quick maths
Question 3 of 10
Which choice is the solution to the inequality below?
8x <56
A.x >27
B.x < 7
C.x <48
D.x < 8
Answer:
That is quite simple,7 is the best choice
PLZ HELP I BEG I REALLY NEED HELP :)
Answer:
A
Step-by-step explanation:
what is the answer to –(d+1)>3
Answer:
−(d+1)>3
Step 1: Simplify both sides of the inequality.
−d−1>3
Step 2: Add 1 to both sides.
−d−1+1>3+1
−d>4
Step 3: Divide both sides by -1.
[tex]\frac{-d}{-1}[/tex] > [tex]\frac{4}{-1}[/tex]
d < -4
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,2) and (2, -6)
Answer: _____
Answer:
d = 10Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(-4,2)\quad\implies\quad x_1=-4\,,\ y_1=2\\\\(2,-6)\quad\implies\quad x_2=2\,,\ y_2=-6\\\\d=\sqrt{(2+4)^2+(-6-2)^2}= \sqrt{6^2+(-8)^2}= \sqrt{26+64}= \sqrt{100}=10[/tex]
You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50
per week, but would like to work no more than 10 hours per week.
Which system of inequalities, along with y0 andx
0, would you use to solve the real-world problem?
The required inequalities are x + y ≤ 10 and 5x + 10y ≥ 50
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50 per week, but would like to work no more than 10 hours per week.
Let, you work at grocery story (x), and you work mowing lawns (y)
You want to work no more than 10 hrs
So, first inequality will deal with hrs.
x + y ≤ 10....(i)
A less than or equal to sign tells that you do not want to work more than 10 hrs, but you can still work 10 hrs, so we include the equal sign as well.
And,
Grocery store (x) earning $5 per hr and lawn mowing (y) earning $10 per hr, making at least $50...
Now we will make an inequality dealing with the $
5x + 10y ≥ 50.....(ii)
A greater than or equal to sign tells that, you want to make 50 or more, so we include the equal sign.
So, the inequalities are :
x + y ≤ 10
5x + 10y ≥ 50
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I need help anyone I'll give you 50 points, asap !!!
Answer:
Step-by-step explanation:
d
Answer:
Letter d
Step-by-step explanation:
pls mark this as brainliest! thx :)
Which of the following shows the lengths of the sides of a right triangle?
A. 2, 3, 4
B. 5, 7, 11
C. 6, 8, 10
D. 8, 12, 15
Answer:
C
Step-by-step explanation:
use the formula a²+b²=c²
What is the measurement of <8
Answer:
175
Step-by-step explanation:
since 1 was 152 you have to add more to get number 8
What is the slope of the line y= -121x + 200 ??
Answer:
Slope = - 121
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
m = Slope
Step 3:
y = - 121x + 200 Equation
Answer:
Slope = - 121
Hope This Helps :)
Answer:
-121X
Step-by-step explanation:
In an equation, x= the slope, and the number that comes after is the y intercept. So 200 would be where the line starts, and would have a negative slope of -121x
I hope this helps! :)
Figure ABCD has vertice A (5,9) B (7,5) C (5,1) D (3,5)
Which names describe ABCD?
Please help me solve these 3 problems. Solve for x state the properties used and check your answer. I’ll mark as brainliest.
a) 5(x - 2) - 6 = 24
b) 22 = (3x+5) - 18
c) -48 = -4(2x+5)+ 5x - 1
Answer:
a) 5x=8 use a calculator and use distributive property
b) 22=3x+5 -18
22=3x-13
9=3x
x=3
distributive property
c)-48= -8x-20+5x-1
-48= -3x-21
-27= -3x
x=7
distributive property
Step-by-step explanation:
I need help on this please
Answer:
25/3
Step-by-step explanation:
Set the equations equal to each other since the lines are parallel.
(x+20)=(4x-5)
-x +5 -x +5
25/3 = 3x/3
x = 25/3
help please asap!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is 3.
Step-by-step explanation:
Plug in, combine, solve.
[tex]m = - 3 \\ {m}^{2} + 5m + 9\\ ( - 3)^{2} + 5( - 3) + 9 \\ 9 + 5( - 3) + 9 \\ 9 - 15 + 9 \\ - 6 + 9 \\ 3[/tex]
Which of the following is equal to the absolute value of −15?
Answer:
15
Step-by-step explanation:
the absolute value of -15 is 15
Whats 5+5+5+5+5+5+5+5+5+5+5+5+10+10+10+10 ????? Help!!!
Answer:
100!!
Step-by-step explanation:
Hope this helps
Answer:
100
Step-by-step explanation:
5 x 12 = 60 +10 + 10 +10 +10
60 +40= 100
which of the following recurisive formula's represents the same geometric sequence as the formula an=2x3^(n-1)
Answer:
{a1=2
{an =an-1 (1/2)
Step-by-step explanation:
a1 = 2(1/2)0 = 2
a2 = 2(1/2)1 = 1 = a1(1/2)
a3 = 2(1/2)2 = 1/2 = a2(1/2).
an = an-1(1/2)
Answer:
[tex]a_{n}[/tex]= [tex]3[/tex] · [tex]a_{n}[/tex] -1.
What's the equation of the line that passes through the points (–1,5) and (1,–1)?
Answer:
y = -3x + 2
extra characters down here
how to solve using Substitution or Elimination?
y=3x-1
y=2x+2
By elimination:
y = 3x - 1
y = 2x + 2
Subtract the second equation from the first
0 = x - 1
y = 2x + 2
Subtract the first equation from the second
0 = x - 1
y = x + 3
Subtract the first equation from the second again
0 = x - 1
y = 4
Subtract x from both sides of the first equation
- x = - 1
y = 4
Divide the first equation by (-1)
x = 1
y = 4
So, the solution is x = 1 and y = 4 {or: (1, 4)}megan solved the following exponential equation for x. what did she do wrong
Answer:
take a better photo this is blurry
Step-by-step explanation:
uhhh help me , i give brainliest
Answer:
36
Step-by-step explanation:
x² + 12x - 40 = 0
x² + 12x = 40
Now, 12/2 = 6. So add 6² = 36 to each side
x² + 12x + 36 = 40 +36
Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25 square inches and a height of 5 inches and filled it with water. She then dumped this water into a hollowed out cube that has a volume of 125 cubic inches. Enter the amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube
Answer:
The answer is below
Step-by-step explanation:
Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:
Number of times = volume of cube / volume of pyramid
The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in
Volume of square pyramid = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³
Volume of cube = 125 in³
Number of times = 125 in³ / 65.1 in³ = 1.92
The amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube is 1.92.
What is volume?The capacity of a container of any shape is called the volume.
Natalee transferred water from a square pyramid to a cube. Then,
Given is the perimeter of the pyramid base = 25 in
So, the length of one side of the base b= 25 / 4 = 6.25 in
Volume of square pyramid = b² × (h/ 3) = (6.25 in)² * (5 in / 3) = 65.1 in³
Volume of cube = 125 in³
Number of times = volume of cube / volume of pyramid
Number of times = 125 in³ / 65.1 in³ = 1.92
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At Imelda's fruit stand, you bought 555 apples and 444 oranges for \$10$10dollar sign, 10, and your friend bought 555 apples and 555 oranges for \$11$11dollar sign, 11. Using this information, is it possible to determine the cost of one apple and one orange from the fruit stand? If so, what do they cost? If not, why not? Choose 1 answer:
Answer:
Each apple would cost 1.20 and each orange would cost 1
Step-by-step explanation:
Answer:
See Attached!
Step-by-step explanation:
A bakery has 36 glazed donuts on display. This is 80% of the total number of donuts. What is the total number of donuts in the bakery?
Answer:
it is 64.8, but you have to round to the nearest number, so i would say 65 :)
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
% means out of 100, so 80% is 80/100
Let's divide 100/80 to find a scale we can use to multiply 36, 100/80 =
36 times 1.25 = 45
There's 45 donuts
Double check:
45(80/100) = 36, we're right
6. A ball is thrown at an upward velocity of 72 feet per second from a platform that is raised 10 feet
off the ground. Use the equation y = -12 + vt + h where y is the ending height of the ball, t is the
time in seconds, v is the ball's velocity, and h is the intial height, in feet, of the ball.
How long will it take the ball to reach its maximum height, and what is that maximum height?
(Disregard any extra height added by the person throwing the ball.)
Answer:
Question 675528: A ball is thrown vertically upward with an initial velocity of 48 feet per second. If the ball started its flight at a height of 8 feet, then its height s at time t can be determined by s(t)=-16t^2+48t+8 where s(t) is measured in feet above the ground and t is the number of seconds of flight.
Step-by-step explanation: