Given:
The function is:
[tex]f(x)=-2x+1[/tex]
To find:
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.
Solution:
a. We have,
[tex]f(x)=-2x+1[/tex] ...(i)
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=-2,b=1[/tex]
Therefore, the slope of the line is -2 and the y-intercept is 1.
b. If the slope of a linear function is negative, then the function is decreasing.
If the slope of a linear function is positive, then the function is increasing.
If the slope of a linear function is 0, then the function is constant.
The slope of the linear function is negative.
Therefore, the function is decreasing.
c. We have,
[tex]f(x)=-2x+1[/tex]
At [tex]x=0[/tex], we get
[tex]f(0)=-2(0)+1[/tex]
[tex]f(0)=1[/tex]
So, the y-intercept is at (0,1).
At [tex]f(x)=0[/tex], we get
[tex]0=-2x+1[/tex]
[tex]2x=1[/tex]
[tex]x=\dfrac{1}{2}[/tex]
[tex]x=0.5[/tex]
So, the x-intercept is at [tex]\left(0.5,0\right)[/tex].
Plot the points [tex](0,1), \left(0.5,0\right)[/tex] and connect them by a straight line as shown below:
Solve for X. rx-s = t
Answer: x=t/r+s/r
How to: Isolate the variable by dividing each side by factors that don't contain the variable.
Have a great day and stay safe !
Answer:
[tex]solve \: \: for \: \: x \\ rx - s = t \\ rx = t + s \\ x = \frac{t + s}{r} [/tex]
what is the surface area of a box with measurements length = 5.7 height = 8.5 and width = 1.9? I forgot what surface area is so I need help
Answer:
150.86
Step-by-step explanation:
to calculate the surface area the formula is 2(wl+hl+hw). Hope I helped!
Can someone pls help I’ll mark brainliest
Answer:
I think it is the 5th one if im wrong i am sorry
Step-by-step explanation:
Answer:
E.
Step-by-step explanation:
The two windows shown are similar. What is the height of the larger window?
HELP ME OUT PLEASEEEEEEEEEEEe
Step-by-step explanation:
y = 15× tan25° = 15×0.466 = 6.99 m
r (Hypotenuse) = 15/cos25° = 15/0.906
= 16.56m
the total height = 6.99+16.56 = 23.55 m
Multiply as a decimal point
0.6 x 0.4 =
Answer:2.4
Step-by-step explanation:
Please help 10 points...
Answer:
area of a trapezoid is 1/2(h)(b1 + b2)
1/2 (3) (6+2)
1/2 (24)
12 units ²
Find h(x+2) if h(x) = 9x-16
Find the length of the missing leg.
Answer:
Step-by-step explanation:
using formula
a^2+b^2=c^2
x^2+4^2=8^2
x^2+16=64
x^2=64-16
x=[tex]\sqrt{48}[/tex] cm
Answer:
x = [tex]\sqrt{48}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 4² = 8²
x² + 16 = 64 ( subtract 16 from both sides )
x² = 48 ( take the square root of both sides )
x = [tex]\sqrt{48}[/tex]
What is another way to write this??
Answer:
b is the answer
....................
Answer:
B.
Step-by-step explanation:
The negative (-) must be within the parentheses “(..)”. The expression is repeated four times, thus (-2/3)^4
Find the co-ordinates of a point which divides the line joining the points (-3, 9) and (1, -3) internally in the ratio of 3:1. *
a) (1, 1)
b) (0, 0)
c) (1, 2)
d) (2, 2)
The co-ordinates of a point which divides the line joining the points (-3, 9) and (1, -3) internally in the ratio of 3:1 is , (0,0)
What is a line?The equation of a line is a relationship between x and y coordinates.
Section formula for a point which divides line joining points into m:n ratio,
(X,Y) = { (mx₂+nx₁)/m+n , (my₂+ny₁)/m+n }
Given points,
(-3, 9) and (1, -3)
m:n = 3:1
(X,Y) = { (3×1+ 1×-3)/3+1 , (3×-3 + 1×9 )/ 3+1 )
(X,Y) = (0,0)
Hence, the points will be, (0,0)
To know more about Line check:
https://brainly.com/question/17188072
#SPJ1
Rajiv brought 1325 packs of red balls 1238 packs of yellow balls and 1334 packs of green balls there were 6 balls in each pack how many balls did rajiv buy .Change the numbers to very simple numbers in UPSL method
Answer:
Rajiv bought 23,382 balls.
Step-by-step explanation:
Given that Rajiv bought 1325 packs of red balls, 1238 packs of yellow balls and 1334 packs of green balls, and there were 6 balls in each pack, to determine how many balls did Rajiv buy the following calculation must be performed:
(1,325 + 1,238 + 1,334) x 6 = X
3.897 x 6 = X
23.382 = X
Therefore, Rajiv bought 23,382 balls.
(trigonometry) solve for x
Answer:
x= about 36.9
Step-by-step explanation:
We have 2 known factors, the degree of 31 and 19 for a side.
19 and x are opposite and hypotenuse of the angle of 31.
sin 31 = 19/x
We isolate and do
19/sin 31
What congruent theorem is this triangle...need help please
Which of the following is most likely the next step in the series?
Look at the photo
Find y.
Write your answer in simplest radical form.
Answer:
y = 6
Step-by-step explanation:
in a 45-45-90 triangle, the hypotenuse is [tex]\sqrt{2}[/tex] multiplied by the side across from the 45° angle
can you please help !
please show your work
Answer:
I am not sure if this is correct but I think it is A
Step-by-step explanation:
The sides of a triangle are 2x+4, 5x+2, and 4x-3. What is the perimeter if x=2
Answer:
25
Step-by-step explanation:
The three sides of a triangle are 2x+4, 5x+2, and 4x-3.
The sum is the perimeter
P = 2x+4+ 5x+2+ 4x-3
Combine like terms
P = 11x +3
Let x =2
P = 11*2 +3
P = 22+3
P =25
Answer:
25
Step-by-step explanation:
Side 1: 2x+4 Side 2: 5x+2 Side 3: 4x-3
Substitute-
2(2)+4 5(2)+2 4(2)-3
Multiply-
4+4 10+2 8-3
Combine Terms-
16 + 12 + 5
=25
Equations from tables
Plzz help
PLEASE PLEASE HELP ME ASAP
Answer:
378
Step-by-step explanation:
540 of 70%. So you will write this as 70 / 100 x 540 = 378. I hope this helped you.! <3
you roll a six sided dice 60 times the number for which the experimental probability of rolling the number is the same as the theoretical probability is
Answer:
The answer is "12 times, a die was rolled. Identify the complete possibilities to roll exactly 6".
Step-by-step explanation:
Using formula:
[tex]P(X=K)=\binom{N}{K} P^{K} a^{N-K}[/tex]
So the value is [tex]P(X=6)[/tex]
using the 45o −45o −90o Triangle theorem.
Solve this triangle.
KInda need to hurry first answer gets brainlist
Answer: d
Step-by-step explanation:
Answer:
I think the answer to your question is 3x-5y^2 i am not sure.
Step-by-step explanation:
I hope this helps, have a nice day
At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter. FFF represents the fee (in dollars) for climbing ddd meters. F=110+0.12dF=110+0.12dF, equals, 110, plus, 0, point, 12, d What is the increase in price for every 100100100 meters climbed?
Answer:
122fee/meter
Step-by-step explanation:
Given the expression for the initial fee plus a constant fee per meter expressed as;
F = 110 + 0.12d
Is d = 100m
Substiutte into the expression and get F
F = 110 + 0.12(100)
F = 110 + 12
F = 122
Hence the required increase in price is 122fee/meter
Answer:
110
Step-by-step explanation:
How do I find the volume?
Answer:
425 ft³
Step-by-step explanation
Find the volume of the entire figure, if the part wasn't cut out
It would be 11 x 8 x 5 = 440
Now do 5 x 1 x 3 = 15
440 - 15 = 425
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Dos calles tienen las siguientes longitudes 2 2/5 y 1 3/4 de kilometro cual es la longitud total de ambas
Answer:
La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]
Step-by-step explanation:
Dos calles tienen las siguientes longitudes: [tex]2\frac{2}{5}[/tex] y [tex]1\frac{3}{4}[/tex] de kilometro. Para calcular la longitud total de ambas calles debes sumar ambas longitudes:
[tex]2\frac{2}{5}+1\frac{3}{4}[/tex]
Para sumar fracciones mixtas, en primer lugar sumas la parte entera:
2+1= 3
Luego se deben sumar las fracciones. Para ello, es necesario encontrar el común denominador. En este caso el común denominador entre 5 y 4 es 20.
Ahora debemos amplificar las fracciones al común denominador. Esto es, se divide por el denominador de cada fracción y el resultado se multiplica por el numerador de la fracción:
[tex]\frac{2}{5}+\frac{3}{4}=\frac{8+15}{20} =\frac{23}{20}[/tex]
Entonces el resultado de la suma es:
[tex]3\frac{23}{20}[/tex]
La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]
what is 2/3 - 1/3 I appreciate all answers!! (btw i dont wanna do all the math right now so i know how to do it i am just not in the mood of doing it rn.)
Answer:
1/3
Step-by-step explanation:
2/3-1/3=1/3
#Carry on Learning
[tex]0.333[/tex] ✅
Step-by-step explanation:
[tex] \frac{2}{3} - \frac{1}{3} \\ = \frac{2 - 1}{3} \\ = \frac{1}{3} \\ = 0.333[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning}}{\orange{.}}}}}[/tex]
You get a 3% commission on all sales. This month, you made a sale of $45,050 and
a sale of $6,785.25. What is your commission for the month?
Answer:
$1,555.06
Step-by-step explanation:
PLAEASE Help If you answer this right I will mark you brainlist
Answer:
Hello! answer: 65
Step-by-step explanation:
This is a supplementary angle meaning it will add up to 180 degrees therefore... 180 - 115 = 65 therefore x = 65 hope that helps!
Answer:
x=65°
Step-by-step explanation:
180°= x + 115°
x = 180 - 115
x = 65°