[tex]\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}[/tex]
Answer:
y=-x-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-(-2))/(3-1)
m=(-4+2)/2
m=-2/2
m=-1
y-y1=m(x-x1)
y-(-2)=-1(x-1)
y+2=-x+1
y=-x+1-2
y=-x-1
Students from CAMPA participated in a school fundraiser. The six graders raised $600. The seventh graders raised 35% more than the six graders. The eighth graders raised. 10% less than the seventh graders. What is the total amount the school raised?
Answer:
$2,139 was the total amount the school raised.
Step-by-step explanation:
35% of 600= 210
210+600 = $810
10% of 810= 81
810-81= $729
6th Graders= $600
7th Graders= $810
8th Graders= $729
Help help help math math ASAP
Answer:
4
Step-by-step explanation:
f(-3) = 2 * (-3) + 10
There are nine marbles in a group, and four of those marbles are red. What
fraction of the marbles are red?
Which of the following satisfies 2x^2 + 5x = 7?
A) x =1
B) x = (-2)
C) x = 5
D) x = 0
12 POINT HURRY PLEASE
Answer:
• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.
Step-by-step explanation:
[tex]{ \tt{g(x) = \frac{ {x}^{2} + 5x}{3x} }} \\ [/tex]
If x approaches -∞;
[tex]{ \tt{g( {}^{ - } \infin}) = \frac{ {( {}^{ - } \infin)}^{2} + {}^{ - } \infin}{ {}^{ - } \infin} } \\ \\ { \boxed{ \tt{g( {}^{ - } \infin) = {}^{ - } \infin }}}[/tex]
If x approaches +∞;
[tex]{ \tt{g( {}^{ + } \infin) = \frac{ {( \infin)}^{2} + \infin}{ \infin} }} \\ \\ { \boxed{ \tt{ g( {}^{ + } \infin) = {}^{ + } \infin }}}[/tex]
Note: I'm taking my infinite value to be 1,000
1 gallon is equal to 4 quarts or 8 pints. How many pints are in 3 gallons?
Answer:
24 pints
Step-by-step explanation:
if 1 gallon is = to 8
then 3 gallons is 24
There are 24 pints in 3 gallons.
To determine how many pints are in 3 gallons, we can use the conversion factor provided: 1 gallon equals 8 pints.
Step 1: Calculate the number of pints in 1 gallon.
Since 1 gallon equals 8 pints, we can write this as 1 gallon = 8 pints.
Step 2: Multiply the number of pints in 1 gallon by the number of gallons.
To find the number of pints in 3 gallons, we multiply the number of pints in 1 gallon (8 pints) by 3 gallons:
3 gallons × 8 pints/gallon = 24 pints.
Therefore, there are 24 pints in 3 gallons.
Learn more about conversion factor click;
https://brainly.com/question/30567263
#SPJ6
Approximately what portion of the beaker is filled?
A. 1/2
B. 1/4 C.3/4
Answer:
B. [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The whole beaker is 1. If you measure the beaker, you will notice you can fill up the beaker to the brim (whole, which is 1) if you use the current amount 4 times, and four times is [tex]\frac{1}{4}[/tex].
HELP ASAP I don't understand
Answer:
No
Step-by-step explanation:
These are the artists of each subject, not the general function of each genre.
Brainliest for
Which of the following is a rational number?
??????help please thanks
Answer:
The choice 66
Step-by-step explanation:
[tex]6x + 2m \\ 6(14) + 2( - 9) \\ 84 - 18 \\ = 66[/tex]
hey I really need help on this one please help me thanks
Answer:
y = -10/3x -23
Step-by-step explanation:
Here's two options! You can either use slope-intercept formula or point-slope formula for the first steps.
We are trying to find m.
Slope-intercept formula:
m = y2-y1/x2-x1
Now let's identify our points, (-9,7) and (-6,-3).
= -3-7/-6+9
= -10/3
Point-slope formula:
y-y1 = m(x-x1)
Now let's identify our points, (-9,7) and (-6,-3).
-3 - 7 = m(-6 + 9)
-10 = 3m
-10/3 = m
Now, we have to use slope-intercept formula to find our b.
y = mx+b
y = -10/3x + b
Let's substitute one of the points, any given points work!
7 = -10/3(-9) + b
7 = 30 + b
-23 = b
Let's put it back in.
y = -10/3x -23
Question 9 of 10 What is the length of DE?
Answer:
I think it's B.
Step-by-step explanation:
Find x please and FAST!!!
Answer:
19
Step-by-step explanation:
Angle ZYW is congruent to angle YWX, so the 3 angles must add to 180.
(3x - 5) + 90 + 2x = 180
5x + 85 = 180
5x = 95
x = 19
6. Jan went to the mall with $20. She spent $5 at the mall. What decimal represents how much of her $20 she spent at the mall?
Answer:
0..........5
Step-by-step explanation:
Find the equation of the line l that is perpendicular to -3x + 6y = 11 and I passes
through the point (-2, 3)
Answer:
Step-by-step explanation:
-3x + 6y = 11
Put into slope-intercept form to find the slope
6y = 3x + 11
y = 3x/6 + 11/6
y = ½x + 11/6
so slope is ½
perpendicular lines have negative reciprocal slopes, so our perpendicular line has slope -2
the slope point form of the perpendicular line will be
(y - 3) = -2(x -(-2))
(y - 3) = -2(x +2)
the slope intercept form will be
y = -2x - 4 + 3
y = -2x - 1
Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′. If the slope of is -2, what is the slope of ?
A.
-4
B.
-1
C.
-2
D.
0
Answer:
The slope is -2.
Answer is C
Answer:
the answer is c. -2
Step-by-step explanation:
As Earth circulates the sun, it travels at a
speed of 20 miles per second. Convert
this speed to kilometers per second. At
this speed, how many kilometers will
Earth travel in 8 seconds? Assume that 1
mile is equal to 1.6 kilometers.
6a(2 squared)b + 36ab
Answer:
try for an answer: 6ab • (18ab + a - 6b)
What is the slope of the line. ?
Answer:
-1
Step-by-step explanation:
rise/run
rise=-1
run=1
-1/1=-1
I need help with this question
Answer: bro I don’t if this is correct but try 11+3i
The population of certain city is projected to grow at the rate of r(t) = 400 1+ people/ 24 +7 year in interval (Osts 5) t years from now. The current population is 60 000. What will be the population 5 years from now?
The population 5 years from now would be 60482
The population growth rate is given as:
[tex]r(t) = 400(1 + \frac{2t}{24 + t^2})[/tex]
The value of t, 5 years from now is represented as:
t = 5
Substitute 5 for t in the function r(t).
So, we have:
[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 5^2})[/tex]
Evaluate the exponent
[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 25})[/tex]
Evaluate the products
[tex]r(5) = 400(1 + \frac{10}{24 + 25})[/tex]
So, we have:
[tex]r(5) = 400(1 + \frac{10}{49})[/tex]
Divide 10 by 49
[tex]r(5) = 400(1 + 0.204)[/tex]
This gives
[tex]r(5) = 400(1.204)[/tex]
Expand
[tex]r(5) = 481.6[/tex]
The current population is given as 60000.
So, the population (P) 5 years from now would be
[tex]P = 60000 + 481.6[/tex]
[tex]P = 60481.6[/tex]
Approximate
[tex]P = 60482[/tex]
Hence, the population (P) 5 years from now would be 60482
Read more about population functions at:
https://brainly.com/question/20115298
Translate the phrase into a variable expression. Use the letter p to name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(7) for division
the total number of peanuts divided among 4 baseball fans
Answer:
p/4
Step-by-step explanation:
You have p amount of peanuts and 4 baseball fans, so you divide p among 4, which is p/4
Answer: its p/10
Step-by-step explanation: i just did it
Help me please I would really apparated it thanks.
whats the solution.?
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(x-4)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve y-x+4 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-x+4 = 0 and calculate its properties
Step-by-step explanation:
Dog food is sold in 7 pound bags. Sketch
a graph to show the weight of dog food
purchased by a customer who buys 0, 1, 2, 3, or 4 bags. Tell whether the graph is continuous or discrete.
Answer:
Continuous
Step-by-step explanation:
Jon is solving this division problem: 7,846 : 3. In what place should he start dividing?
thousands
hundreds
ones
tens
answer is ones
Find the sum. 2/5 (d-10) -2/3 (d+6)
Answer:
Step-by-step explanation:
2/5 (d - 10) - 2/3 (d + 6)
=> 2d - 20/5 - 2d - 12/3
By taking LCM of 5, 3 = 15
=> 6d - 30/ 15 - (10d - 60/15)
=> 6d - 30/15 - 10d + 60/15
=> -4d + 30/15
Hope you understood!!
83 devided by 3, with remainders
Answer:
just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2
Find the perimeter of a rectangle whose width is 30cm and diagonal 50cm.
Answer:
P=140cm
Step-by-step explanation:
P=2(l+w)
d=w2+l2
Solving forP
P=2w+2d2﹣w2=2·30+2·502﹣302=140cm
Hope This Kind of Helps
Answer: 140cm
P=2(l+w)
P=2w+2d2﹣w2=2·30+2·502﹣302=140cm
The function g(x) undergoes a vertical stretch of 2, a horizontal shift to the right 3 units, and a vertical shift up 1 to become f(x). Which equation describes f(x).
F(x) = 2|x + 3|- 1
F(x) = 2|x - 3| + 1
F(x) = 2|x - 3| + 1
F(x) = 2|x- 3| - 1
Answer:
NONE OF THE OPTIONS GIVEN
Step-by-step explanation:
F(x) = 2|x - 3| + 1 is close, but vertical bars in stead of parentheses completely changes the curve shape
I believe it should be f(x) = 2(x - 3) + 1
if g(x) = x
here are some plots to compare the possibilities. I've shifted the vertical of each to separate the blue and green lines slightly. If they were both true "1" values the lines would be colinear for x>3.
The red line has a slope of 1, stretching by a factor of 3 means the slope is now 3. The absolute value signs from the answer options makes f(x) have a sharp V shape whereas the parentheses creates a single line for all values of x as does g(x) = x.