Answer:
(E) [tex]y=x+3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis).
1) Determine the slope (m)
[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-4,-1) and ( -1,2):
[tex]m=\displaystyle \frac{2-(-1)}{(-1)-(-4)}\\\\m=\displaystyle \frac{2+1}{-1+4}\\\\m=\displaystyle \frac{3}{3}\\\\m=1[/tex]
Therefore, the slope of the line is 1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=1x+b\\y=x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=x+b[/tex]
Plug in one of the given points and solve for b:
[tex]2=-1+b\\2+1=b\\3=b[/tex]
Therefore, the y-intercept of the line is 3. Plug this back into the original equation:
[tex]y=x+3[/tex]
I hope this helps!
If a polynomial function has n degree, then it can have at most (n - 1) ____________ in the graph.
9514 1404 393
Answer:
turning points
Step-by-step explanation:
The number of turning points is the number of real zeros in the derivative polynomial. As you know, the number of real zeros of a polynomial is at most the polynomial degree.
The degree of the derivative is always 1 less than the degree of the polynomial. So, a polynomial of degree n will have at most (n-1) turning points.
Plz tell me how to do question 18
Answer:
750kmph
Step-by-step explanation:
Average is sum of all parts divided by the number of parts.
Let Stot be average speed for total trip (800kmph).
Let S1 be speed for first quarter of trip (950kmph).
Let S2, S3, and S4 be the speeds of each of the remaining quarters respectively.
Let Sans be the average speed for the remaining three quarters of the trip (a.k.a. The Answer!).
Stot = (S1 + S2 + S3 + S4) / 4
800kmph = (950kmph + S2 + S3 + S4) / 4
3200kmph = 950kmph + S2 + S3 + S4
3200kmph - 950kmph = 2250kmph = S2 + S3 + S4
Divide both sides by 3.
2250kmph / 3 = (S2 + S3 + S4) / 3 = Sans
Sans = 750kmph
Can someone explain how to do this?
The foot of a ladder is placed 18 feet from a wall. If the top of the ladder rests 24 feet up on the wall, find the length of the ladder.
Answer:
30 ft
Step-by-step explanation:
Because the wall and floor form a right angle, then
a**2 + b**2 = c**2
18**2 + 24**2 = c**2
324 + 576 = c**2
900 = c**2
30 = c
SUBJECT: Graphs and Function
Identify the range of the function shown in the graph.
A staircase is being constructed in a new house as displayed on the right. Each tread is 18 cm and each riser is 10cm. Determine the angle of inclination of the stairs.
Answer:
29.1°
Step-by-step explanation:
Given that :
Riser, AB, Opposite = 10 cm
Thread, = AC, Adjacent = 18 cm
Angle of inclination, θ
Using trigonometry :
Tan θ = opposite / Adjacent = AB / AC
Tan θ = 10 / 18
θ = tan^-1(10/18)
θ = 29.055
Hence, angle of inclination is 29.1° (1 decimal place)
The test statistic of z=2.93 is obtained when testing the claim that p≠0.523. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.01, should we reject H0 or should we fail to reject H0?
Answer:
Step-by-step explanation:
Confidence Level - "P" values
99% 2.58
Confidence Interval - "P" values
(0.5289 , 0.6097 )
Reference=0.523 Reject H0
If f(x) = VX – 9 and g(x) = -6x – 3,
which statement is true?
Answer:
7
Step-by-step explanation:
which of the binomials below is a factor of this trinomial x2+6x-40
Answer:
x2 - 16x + 28 = (x - 2)(x - 14)
Step-by-step explanation:
Even though you don't mention any factors below, it is easy to tell that the above-given two factors must be the ones you are looking for.
Amy is biking to school from her father's house and Jeremy is biking to school from his aunt's house. Suppose Amy is moving at a rate 10 miles per hour and Jeremy is moving at a rate of 8 miles per hour. Can you assume that Amy will get to school first?
Answer:
No, more information is needed to prove that Amy will get to school first.
Step-by-step explanation:
Even though Amy is traveling at a faster rate than Jeremy, the problem does not say how far away Amy's father's or Jeremy's aunt's houses are from the school.
Answer:
Step-by-step explanation:
No, the rate with the greater positive rate of change will not necessarily reach the output with the smallest input. The initial value will also affect the outcome. Although Amy is biking at a faster rate of change, Jeremy might get to school before her if his aunt lives closer to the school than her father does.
Explanation: Edge. said so.
A ramp is used to load a snowmobile onto the back of a pickup truck. The truck bed is 1.3m above the ground. For safety, the angle of the ramp should be less than 40°. What is the shortest possible length of the ramp to the nearest centimetre? Explain why.
Answer:
2.02 m
or 2 m 2 cm
Step-by-step explanation:
Imagine a triangle containing the 40° angle and that this angle is at the left. Then the height of the truck bed is 1.3 m and the "shortest possible length of the ramp" is the hypotenuse of this triangle. We need to find the length of this ramp, that is, the length of the hypotenuse.
The sine function relates this 40° angle and the 1.3 m height of the truck bed:
sin 40° = opp / hyp = 1.3 m / hyp
which can be solved for 'hyp' as follows:
1.3 m
hyp = ----------------- = (1.3 m) / 0.6428)
sin 40°
1.3 m
Thus, the length of the ramp must be less than -------------- or 2.02 m
0.6428
where this last result is to the nearest cm.
If the ramp is shorter the angle of the ramp will be smaller and the ramp angle considered safer.
In the warmer months, Ms.Selwa likes to run to school to get in her daily exercise. She can run 1/6 of a kilometer in a minute. Michael Power Saint Joseph is 3/6 of a kilometer away from her home. At this speed, how long will it take Ms.Selwa to run to school every morning?
Answer:
3 minutes
Step-by-step explanation:
If Ms. Selwa can run 1/6 of a kilometer in a minute, she can run 3/6 of a kilometer in 3 minutes.
This is because 1/6 times 3 equals 3/6, which is the distance of the school from her home.
So, it will take Ms. Selwa 3 minutes to run to school.
The graph below shows the solution to which system of inequalities
Helpppp
Answer:
Step-by-step explanation:
Find the length of the side labeled 2. Round intermediate values to
the nearest tenth. Use the rounded values to calculate the next
value. Round your final answer to the nearest tenth. PLEASE HELP ASAP!
A. 11.6
B. 13
C. 16.6
D. 22.4
Answer:
B
Step-by-step explanation:
The perpendicular is sin(43)*39=21.82. Next tan(32)=x/21.82. x=21.82*tan(32)=13.6
The value of x in the given question is 16.6
What are trigonometric ratios in a right angle triangle ?A right angle triangle has 3 sides opposite is the side opposite to the angle formed by two adjacent sides.hypotenuse is the largest side and adjacent is the remaining side.
Assuming height of the triangle = y
Sin∅ = opposite/hypotenuse
sin43° = y/39
y= 39sin43°
y = 26.6
From this we will solve the value of x
tan∅ = opposite/adjacent
here adjacent = 26.6 and opposite = x
tan32° = x/26.6
x = 26.6tan32°
x = 16.6
Learn more about Trigonometric ratios here :
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pls help. And can someone tell me how give brainliest so i can give it?
Answer:
n - 324 = 394
STEP BY STEP EXPLANATION
A car travels 52/5 kilometers in 23/4 minutes. What is the unit rate in kilometers per minute?
The unit rate of the car that travels 5 2/5 km in 2 3/4 mins is: 1.96 km/min.
What is Unit Rate?Unit rate can be defined as the ratio of one quantity in comparison to another.
Distance travelled by a car = 5 2/5 km = 5.4 km
Time travelled = 2 3/4 mins = 2.75 mins
Unit rate in km/min = 5.4/2.75
Unit rate in km/min = 1.96 km/min.
Learn more about the unit rate on:
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1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are
green and 4 pencils are brown
f. If a pencil is picked at random, what is the probability that the pencil will be red or green or orange?
g. If a pencil is picked at random, what is the probability that the pencil will
NOT be orange?
'h. If a pencil is picked at random, what is the probability that the pencil will
NOT be blue or red?
Answer:
Step-by-step explanation:
F. 5/7 chance
G. 9/14 chance
H. You did not mention a blue color in the question.
Answer:
g) a) 11/14
f) 9/14
h) 12/14
Step-by-step explanation:
Probability is just the amount of the specified object over the total amount of objects.
Amount of Red : 2
Amount of Orange: 5
Amount of Green: 3
Amount of Brown: 4
Total: 14
*Formula: (Specified Object)/(Total)*
F) Chances of Red or Orange or Green
=(2+5+4)/14
=11/14
G) NOT be orange
*Formula: (Total)-(Specified)/(Total)*
=(14-5)/14
=9/14
H) NOT blue or red
*Formula: (Total)-(Specified)/(Total)*
=14-(2+0) (*There is a 0 there because the question asked to solve for blue pencils as well, and there are 0 blue pencils*)
= 12/14
Which function is decreasing and approaches negative infinity as x increases?
A. f(x) = -3(0.6)^x + 1
B. f(x) = 3(6)^x − 2
C. f(x) = -3(6)^x + 2
D. f(x) = 3(0.6)^x − 1
Answer:
C
Step-by-step explanation:
I have attached graphs of all the equations below
A starts off increasing so it cannot be it
B is increasing after some point, so doesn't work
C works
D has a constant y after some point, so doesn't work (not increasing or decreasing)
therefore: C is the correct answer
Point G is the circumcenter of ABC . Point G is the point of concurrency of the perpendicular bisector. Find BG
Answer:
BG = 25
Step-by-step explanation:
The circumcentre is equally distant from the triangles 3 vertices, then
BG = CG = 25
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6
feet. Find the length of the ladder if the length is 2 feet more than its distance from the
wall.
Answer:
10 feet
Step-by-step explanation:
let the ladder be x feet in length
Using the Pythagoras theorem,
6^2+(x-2)^2=x^2
if you solve this you'll get, x = 10
Answered by GAUTHMATH
Start from number 11 and keep adding 2 till you get to 201. how many times did you have to add 2 till you got to 201
Answer:
95 times
Step-by-step explanation:
201=11+(n)*2, 190=(n)*2, n=95
A square shaped room contains 12m' of air. If the height of the room is 3m, what is the area of the floor. Also, find the length of the floor.
Answer:
A square shaped room contains 12m³of air.If the height of the room is 3m,what is the area of the floor. find the length too.also write the method ka answer
Step-by-step explanation:
HELP ILL HIVE BRAINLIEST
Answer:
I cannot read it
Step-by-step explanation:
Step-by-step explanation:
the answer should be the first option bcos
when we use the table of values
let's just assume the values of x to be 0,1,2and3
so when x= 0
using the given formula y=2x-3
we get
y= 2(0)-3
=0-3
= -3
so we have x=0,y=-3
we do the same for the rest of the values
y=2(1)-3=2-3 =-1
y=2(2)-3=4-3= 1
and on the gragh this gives a straight line
where the values of y are -3,-1,1
and x are 0,1,2
Find an equation for the line below.
BRAINLIEST AND POINTS!
Answer:
y = 4/3x+2/3
Step-by-step explanation:
the 2 coordinates provided are: (4,6) and (-5,-6)
y=mx+c
m= (y1-y2)/(x1-x2) = (-6-6)/(-5-4) = 4/3
sub x = 4, y = 6
6 = 4/3 * 4 + c
c = 2/3
Answer:
y = 4/3x+2/3
Step-by-step explanation:
Pick two points on the line to find the slope
(-5,-6) and (4,6)
m = (y2-y1)/(x2-x1)
m = ( 6 - -6)/( 4 - -5)
= ( 6+6)/(4+5)
= 12/9
= 4/3
The slope intercept form of a line is y =mx+b where m is the slope and b is the y intercept
y = 4/3x+b
Substitute a point into the equation
6 = 4/3(4)+b
6 = 16/3+b
Subtract 16/3 from each side
18/3 - 16/3 =b
2/3 = b
y = 4/3x+2/3
Para un proyecto de arte, omar debio trasladar en la cuadricula la figura de colocar segun estas indicaciones 6 cuadraditos hacia la izquierda y 5 cuadraditos hacia la derecha dibula en la cuadricula la figura en su nueva ubicacion
Answer:
Después de una búsqueda online, encontre la pregunta completa, la cual puede verse abajo.
Lo que queremos hacer es mover la figura 6 unidades a la izquierda, y 5 unidades hacia abajo.
Para hacer esto, simplemente podemos tomar cada vértice de la figura y moverlo 5 unidades hacia abajo, y luego 6 unidades a la izquierda.
Una vez hemos movido los 4 vértices, podemos conectarlos con segmentos, y de esta forma tendremos la figura trasladada.
En la segunda imagen se puede ver como este proceso se hace para el vértice derecho de la base. En el mismo gráfico se movieron los otros 3 vértices y se conectaron, para así obtener la figura trasladada.
find the missing side lengths
Answer:
X = 18
Y = 9√3
Step-by-step explanation:
use sin equation for right angle triangle
The sine of the angle
= ( the length of the opposite side ÷ the length of the hypotenuse.)
according to this question,
sin 30 = 9 / X
1/2 = 9 / X
X = 18
use cosine to find y
The cosine of the angle
= (the length of the adjacent side ÷ the length of the hypotenuse.)
cos 30 = y/x
√3/2 = y/ 18
y = 9 ✓3
sin 0=20/29. Find tan 0.
Please Factor m^2-8m^5
Answer:
Use the diffrence of cubes formula
Step-by-step explanation:
a^3-b^3=(a-b)(a^2+ab+b^2) where a = 1 and b = 2m
m^2(1-2m)(1+2m+4m^2)
determine the value of the expression below:
X=1
Y=-2
Find the value of this expression:
y/3x-x
Answer:
Step-by-step explanation:
-2/3(1)-1 = -2/3 - 1 = - 5/3
Answ
Step-by-step explanation:
-2/2 =-1 nha
Helpppppppp pleaseeee!!!!!!!!
Answer:
29.5 square inches
Step-by-step explanation:
Let's divide the shape into 3 parts to make it easy for us to find the area.
- a wide triangle
- a triangle
- a shorter rectangle
For the wider rectangle, the area is;
A1 = 8 × 2 = 16 in²
For the triangle, the area is;
A2 = ½(7 - 2) × 3
A2 = 7.5 in²
For the shorter rectangle, the area is;
A3 = 3 × 2
A3 = 6 in²
Total area = A1 + A2 + A3 = 16 + 7.5 + 6 = 29.5 square inches
