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:
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
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
Which of the following is most likely the next step in the series?
Look at the photo
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:
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:
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
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(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 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!
using the 45o −45o −90o Triangle theorem.
Solve this triangle.
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
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]
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]
Multiply as a decimal point
0.6 x 0.4 =
Answer:2.4
Step-by-step explanation:
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.
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
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
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
please show your work
Answer:
I am not sure if this is correct but I think it is A
Step-by-step explanation:
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]
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
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]
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:
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 h(x+2) if h(x) = 9x-16
What congruent theorem is this triangle...need help please
Equations from tables
Plzz help
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]
can you please help !
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°
The two windows shown are similar. What is the height of the larger window?