Answer:
[tex]y=3x-7[/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=\frac{y_2-y_1}{x_2-x_1}[/tex] where the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Points (3,2) and (6,11)
[tex]=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3[/tex]
Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=3x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=3(3)+b\\2=9+b[/tex]
Subtract 9 from both sides
[tex]2-9=9+b-9\\-7=b[/tex]
Therefore, the y-intercept of the line is -7. Plug this back into [tex]y=3x+b[/tex]:
[tex]y=3x-7[/tex]
I hope this helps!
There were 60 7th grade students last year in CHAMPS. This year, there are 48 7th grade students. What is the percent decrease from last year to this year?
20%
Hope this helps! :)
______________
The volume of a cuboid, whose length and height are equal is 108 m3. If the breadth is 12 m, find the cuboid's length and surface area.
Answer:
Surface area = 162 m^2
Step-by-step explanation:
Below is the given values:
Length of cuboid = Height of cuboid
The volume of the cuboid = 108 m^3
The breadth of the cuboid = 12 m
Now use the volume formula:
Volume = area of one surface × height
Volume = (L x B) * H
(L x 12) * H = 108 (L = H)
L x 12 x L = 108
L^2 = 108/12
L = 3 m
Thus length and height is = 3m
Surface area = 2 (L x B + b x h + L x h)
Surface area = 2 (3 x 12 + 12 x 3 + 3x 3)
Surface area = 162 m^2
A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?
Whats the measure of
Answer:
C. 80°
Step-by-step explanation:
Recall: SOH CAH TOA
Reference Angle = J
Opposite = 60
Adjacent = 11
Hypotenuse = 61
Apply trigonometric function, SOH, which is:
Sin J = Opp/Hyp
Sin J = 60/61
[tex] J = sin^{-}(\frac{60}{61}) [/tex]
J = 79.6111422°
J = 80° (nearest degree)
Tell me what is wrong with this.
_____
/ \
| |
|______|
| | | |
| | | |
Answer:
among us lm*o na everything
Step-by-step explanation:
Really stuck, please help
Answer:
Step-by-step explanation:
what do you know about the angles of a triangle? They make 180° right?
since you know that, now you can find angle Y , by using the triangle on the left, and you can find X by using the triangle on the right, then, when you know X & Y , use both of those to find Z :) got it?
Answer:
we know that a triangle's angles MUST add up to 180 degrees.
We can look at the triangle with the angles of 55, 80, and y. As the angles must add to 180, 55+80+y must be 180. Therefore, we find that y is equal to 45.
We can look at the triangle with the angles of 100, 60, and x. As the angles must add to 180, 100+60+x must be 180. Therefore, we find that x is equal to 20.
We then look at the triangle formed from x, y, and z. As the angles must add to 180, x+y+z must be 180. x is 20, y is 45, so 20+45+z = 180. Thus, z is 115.
So:
y = 45
x = 20
z = 115.
Which could be the graph of f(x) = |x -h| + k if h and k are both positive?
Step-by-step explanation:
The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down). Answer: correct choice is A.
Answer:
A
Step-by-step explanation:
Just did it
My little sister need help!
help......................
Answer:
17.
[tex] 7 \times {10}^{ - 6} [/tex]
18. 8 sides (and 8 corners)
19. the chance is 50% or 0.5, and yes, both colors have the same chance.
20. on a coordinate grid make a point at x=1 and y=5. and then simply draw a line through that point.
Step-by-step explanation:
17. the defining digit is 7. and it is at the the 6th position after the decimal point. that is how you write this.
18. the more corners or sides a polygon has, the closer it gets to a circle. that means that the outside angles always add up to 360 degrees.
so, with the inside angles being 135 degrees, the outside angles are 180-135 = 45 degrees.
his many such outside angles can we add together until we reach 360 degrees ?
360/45 = 8 (just imagine : 2×45 = 90, and 90×4 = 360)
so, this polygon has 8 corners and therefore 8 sides.
19. 12 balls are in the bag. the chance for a single ball to be pulled is therefore 1/12.
but there are 6 red balls. we don't care which specific ball we pull, as long as it's red. so, we have 6/12 chances to achieve that.
and yes, for exactly the same reason, black balls have the same chance.
A rectangular park is 260 m by 480 m. Danny usually trains by running 5 circuits around the edge of
the park. After heavy rain, two adjacent sides are too muddy to run along, so he runs a triangular path
along the other two sides and the diagonal. Danny does 5 circuits of this path for training. Show that
Danny runs about 970 metres less than his usual training session
Answer:
971 m to nearest metre
Step-by-step explanation:
training distance = 5*2*(260 + 480) m
Diagonal distance = √(2602 + 4802) m
Heavy rain training distance = 5*(260 + 480 + √(2602 + 4802)) m
Difference between these:
5 × 2 × ( 260 + 480 ) - 5 ×( 260 + 480 + √ 260 ^ 2 + 480 ^ 2 )
= 970 . 5311872087638744
difference = 971 m to nearest metre
Hope this answer helps you :)
Have a great day
Mark brainliest
What is the solution to the system of equations ?
Y=2/3 x + 3
X= - 2
Answer:
x = -2, y = 5/3
Step-by-step explanation:
we have the value of x already (-2).
x=-2
Plug it into the first equation y = 2/3x+3
y = 2/3(-2)+3
y = -4/3+3
y = -4/3+9/3
y = 5/3
x = -2, y = 5/3
The length of the triangle for the pool table is the twice the sum of 5 and a number. If the rack is equilateral, what is the perimeter, in inches, of the triangle?
Answer:
30 + 6x inches
Step-by-step explanation:
Let the required number be x
If the length of the triangle for the pool table is twice the sum of 5 and a number
L = 2(5+x)
L = 10+2x
Since the triangle is quadrilateral, this means that all sides are equal
Perimeter = 3L
Perimeter = 3(10+2x)
Perimeter = 30+6x
Hence the perimeter, in inches, of the triangle is 30 + 6x inches
What is the inequality for this verbal description?
The value of y is greater than or equal to the sum of five times the value of x
and negative three.
Answer:
y >= 5x - 3
Step-by-step explanation:
since the verbal description mentions "sum", we need to have at least two things to add together.
for this reason we cannot misinterpret the -3 as an element to be included in the "5 times" term, because otherwise we would not have a second thing to build a sum.
A system of equations consisting of a circle and a line is graphed. Which statements about the number of possible solutions are correct? Check all that apply.
A circle and a line always intersect, so the system can have an infinite number of solutions.
A circle and a line can intersect at one point, so the system can have one solution.
A circle and a line can intersect at three points, so the system can have three solutions.
A circle and a line can intersect twice, so the system can have two solutions.
A circle and a line do not have to intersect, so the system can have no solution.
Answer:
the solution is where the two objects intersect ...
1) A line can completely miss the circle (no solutions is possible)
2) a line can "kiss" the circle at one point (one solution)
3) note that a line can not "bend"... it can touch one side of the circle pass
through the center and touch the circle in a second spot (going out) .. two solutions...
those are the three possibility that are in the question that was posted...
three check comments are true
Step-by-step explanation:
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario. Which graph represents this wage increase for x < 12?
The solution is Option C.
The graph which represents the inequality equation is
f ( x ) = { 0.50 , if x < 3
1 , if 3 ≤ x < 6
1.50 , if 6 ≤ x < 9
2.00 , if 9 ≤ x < 12 }
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the number of years be = x
Let the increment in wages be = y
Now , the equation will be
For the employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour
So , the inequality equation is x < 3 , f ( x ) = 0.50
Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00
So , the inequality equation is 3 ≤ x < 6 , f ( x ) = 1
Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour
So , the inequality equation is 6 ≤ x < 9 , f ( x ) = 1.50
Employees of at least nine years, but less than twelve years receive an increase of $2.00
So , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2
Therefore , the graph which represents the solution is Option C.
Hence , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ2
a cylindrical container has a radius of 14 cm and I 20m high .it's curved surface is completely covered with a label . what is the area of the label in cm2 .take pie to be 22/7)
Answer:
The area of the label is 176,000 cm²
Step-by-step explanation:
The given parameters are;
The radius of the cylindrical container, r = 14 cm
The height of the cylinder, h = 20 m
The area covered with the label = The curved surface of the cylinder, A
The curved surface area of a cylinder, A = 2 × π × r × h
π = 22/7
∴ The curved surface area of the cylinder = A = 2 × 22/7 × 14 × 2000 = 176,000
A = 176,000 cm²
∴ The area of the label = The curved surface area of the cylinder = 176,000 cm².
x/6 + 12 = 6
Please help me
Answer:
[tex]x=-36[/tex]
Step-by-step explanation:
[tex]\frac{x}{6} +12=6[/tex]
[tex]\frac{-36}{6} +12=6[/tex]
[tex]-6+12=6[/tex]
Hence, x = -36
Answer:
X = -36
Step-by-step explanation:
x/6 + 12 = 6
-12 = -12
x/6 = -6
(6) = (6)
x = -36
Shante is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 200 miles per minute to travel to the moon? Round to the nearest hour.
Answer:
20 hours
Step-by-step explanation:
Mathematically we know that;
time = distance/ speed
distance = 239,000 miles
Time = 200 miles per minute
time = 239,000/200 = 1195 minutes
Let us convert this to hours by dividing by 60 (since 60 minutes equal an hour
So we have 1195/60 = 19.91
This is approximately 20 hours
Answer:
D
Step-by-step explanation:
20 hours
The junior senator can do a labyrinth in 50 minutes. The senior senator can do a labyrinth in 30 minutes. Working together, how many minutes would it take them to work their way through 12 labyrinths?
Answer:
[tex]225\:\text{minutes}[/tex]
Step-by-step explanation:
To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.
In 10 minutes, the junior senator can complete [tex]\frac{10}{50}=\frac{1}{5}[/tex] of the labyrinth.
In 10 minutes, the senior senator can complete [tex]\frac{10}{30}=\frac{1}{3}[/tex] of the labyrinth.
Therefore, working together, they can complete [tex]\frac{1}{5}+\frac{1}{3}=\frac{8}{15}[/tex] of the labyrinth in 10 minutes. Thus, it will take them [tex]\frac{15}{8}\cdot 10 \text{ minutes}=18.75\:\text{minutes}[/tex] to complete one labyrinth.
The amount of time it take them to complete 12 labyrinths is then [tex]18.75\cdot 12 =\boxed{225\:\text{minutes}}[/tex]
Can someone help me?It's urgent and thank you!
Answer:
575.71
Step-by-step explanation:
Year 1: 960 x .88 (100%-12%)=844.80
Year 2: 844.80 x .88 =743.424
Year 3: 743.424x.88=654.21
Year 4: 654.21 x .88=575.71
HELP ME PLAESE ASAPP
Simplify the expression. (–8.6)0
1
–1
–8.6
0
Answer:
(-8.6)0
= 0
explanation:
Pls help me with this
Answer:
12
Step-by-step explanation:
f(-7) = 5-(-7)=5+7=12
The expression 6 x 2gives the surface area of a cube, and the expression x 3gives the volume of a cube, where x is the length of one side of the cube. Find the surface area and the volume of a cube with a side length of 2 meters
Answer Expert Verified
3.1/5
18
Surface of a cube=S(x)
S(x)=6x²
S(2 m)=6(2 m)²=6(4 m²)=24 m²
The surface of this cube is 24 m².
Volume of a cube=V(x)
V(x)=x³
V(2 m)=(2 m)³=8 m³
Answer:
18
Step-by-step explanation:
74 + -28 =[find the difference and put the sign of big number]
Answer:
It should be 74+(-28) as 2 signs can bit be put together.
74+(-28)
=74-28 (sign only changes when there is (minus) before it
=48
We are not putting a minius (-) as 74 is digger that 28 and it has plus (+) before it.
I HOPE IT HELPS
HAVE A GREAT DAY
[tex]#Liliflim✌[/tex]
need help with this problem
Answer:
2
Step-by-step explanation:
20%---4
20%---4
20%---4
15%---3
15%---3
10%---2
4-2=2
Answer:
2 scoops
Step-by-step explanation:
Hi there!
What the question tells us:
There were 20 sales in totalWe need to solve for the number of chocolate ice cream sales and the number of strawberry ice cream salesWe need to subtract: [# chocolate ice cream sales] - [# strawberry ice cream sales] = ?1) Determine the number of chocolate ice cream sales
The circle graph tells us that 20% of the scoops were for chocolate. To find the number of chocolate scoops, determine 20% of 20, which is the total number of scoops.
20 × 20%
Change 20% into a decimal
= 20 × 0.2
= 4
Therefore, the ice cream shop sold 4 scoops of chocolate ice cream.
2) Determine the number of strawberry ice cream sales
The circle graph also tells us that 10% of the scoops were for strawberry. To find the number of strawberry scoops, determine 10% of 20.
20 × 10%
Change 10% into a decimal
= 20 × 0.1
= 2
Therefore, the ice cream shop sold 2 scoops of strawberry ice cream.
3) How many more of these scoops were chocolate than strawberry?
[# chocolate ice cream sales] - [# strawberry ice cream sales] = ?
4 - 2 = ?
4 - 2 = 2
Therefore, 2 more of these scoops were chocolate than strawberry.
I hope this helps!
2- La longueur d'un rectangle mesure 2 cm de plus que le triple de sa largeur. Si le périmètre de ce rectangle est supérieur à 12 cm, mais d'au maximum 48 cm, dans quel intervalle se situe la largeur de ce rectangle?
Answer:
5 < L < 18,5
5 < L < 18,52 < W < 5,5
Step-by-step explanation:
longeur = length = L
largeur = width = W
L = 3W +2
12 < 2L+2W < 48
———————————————
12 < 2*(3W+2)+2W < 48
12 < 6W+4 +2W < 48
12 < 8W+4 < 48
8 < 8W < 44
2 < W < 5,5
———————————————
12 < 2L+2W < 48
L = 3W +2
L - 2 = 3W
L/3 -2/3 = W
12 < 2L +2*(L/3 -2/3) < 48
12 < 2L + ⅔L -4/3 < 48
12 < 2⅔L -4/3 < 48
13⅓ < 2⅔L < 49⅓
5 < L < 18,5
hope it helps.
brainly exists in French too. brainly.fr or switch country in app
B.) What fraction of the cost is spent on food and entertainment? Food- 17%. Entertainment- 24 they have 3000 for vacation
Answer:
Amount spent on food = 510
Amount spent on entertainment = 720
Step-by-step explanation:
They have 3000 for vacation.
Amount spent on food = 17% of 3000
or 17/100*3000
17*30= 510
Amount spent on entertainment = 24% of 3000
or 24/100*3000
24*30= 720
Can someone help me with this. Will mark brainliest. Thank you.
Answers:
circlecenterradiuschorddiametersecant=======================================
Explanations:
Consider a campfire and people surrounding it to warm up. The fire itself is the center of the circle, and the people around it are points on the circle's edge. Assume that each person is the same distance away from the fire. Refer to the diagram below.We always refer to the circle name by the center point. Think of it being like at the center of the universe, or you could think how the sun is at the center of the solar system. While technically the planets orbit in ellipses and not perfect circles, this idea still could be useful to help remember the naming convention. If we go back to the example in part 1, the radius is the distance from the campfire to any given person. The radius is half the diameter. This is not to be confused with the spelling "cord" which refers to wiring used in electronics, or in fabric fibers. If we connected any two campers with a segment, then we formed a chord. Refer back to part 1 above. Any diameter is a chord, but not the other way around.The diameter is a special type of chord that goes through the center. Note the endpoints of the diameter are on the circle's edge. A secant line is basically a chord but we've extended both endpoints off infinitely in both directions. A secant cuts the circle at 2 different points. In contrast, a tangent line touches the circle at exactly one point only.**PLEASE HELP**
Given: f(x) = 3x - 5, and g(x) = x² - 4x, find g(f(3))
Answer and Step-by-step explanation:
Plug 3 in for f(x), then plug the result of f(x) into g(x).
f(3) = 3(3) - 5
f(3) = 9 - 5
f(3) = 4
g(4) = [tex](4)^2 - 4(4)[/tex]
g(4) = 16 - 16
g(4) = 0
So, g(f(3)) = 0
#teamtrees #PAW (Plant And Water)
Answer:
0 is the final answer
Step-by-step explanation:
Substitute given values for x accordingly
