Step-by-step explanation:
y is always 2 less than x
1) y = x- 2
2) where does it cross the x-axis ? that means y = 0.
0 = x - 2
x = 2
3) where does it cross the y-axis ? that means x = 0
y = 0 - 2 = -2
4) the slope is always the factor of x.
in
y = x - 2.
the factor of x is simply +1.
If its y-coordinate is always 2 less than its x-coordinate, this is expressed as y = x - 2
Slope and equationsFrom the given information
Let the y-coordinate be yLet the x-coordinate be xIf its y-coordinate is always 2 less than its x-coordinate, this is expressed as:
y = x - 2
The equation of the path is y - x - 2
2) The point where th line cuts the x-axis is at y = 0
0 = x - 2
x = 2
The point is at (2, 0)
3) The point where th line cuts the y-axis is at x = 0
y = 0 - 2
y = -2
The point is at (0, -2)
4) The standard equation of a line is y = mx + b where m is the slope. Given the equation y = x - 2
Comparing:
mx = 1x
m = 1
Hence the slope of the equation is 1
Learn more on slopes and intercept here: https://brainly.com/question/25826868
What 5 coins add up to 38 cents? Explain how you solved it.
Answer:
3 dimes (10c each), a nickel (5c), and 3 pennies (1c each)
Step-by-step explanation:
10+10+10+5+1+1+1 = 38
Hope that helps.
Each student bus goes on a field trip holds 36 students and four adults there are six found buses on the field trip how many people are going on a field trip
Answer:
240
Step-by-step explanation:
36+4=40
40x6=240
On the set of axes below. solve the following
system of equations graphically. Statc the
coordinates of the solution.
y=4x-1
2x + y = 5
Answer:
i think x=1 y=3 (1,3)
Step-by-step explanation:
2x+4x-1 = 5
x = 1
y = 4x-1
y = 4(1)-1
y = 4-1
y = 3
PLEASE ANSWER ASAP
Please give an answer i can copy paste into the answer box, please nothing extra
Using the following 3 equations, answer the questions:
11x + y = 4x + y = -2x - 2y = 18
How can you determine which equations can be graphed more easily using x- and y-intercepts, rewriting in slope-intercept form, or using a table of values?
Which method works best for you personally? When does it not work as well?
Answer:
Step-by-step explanation:
I'll assume these are the equations:
11x + y = 18
4x + y = 18
-2x - 2y = 18
=======
The easiest approach to graphing, for me, is to rearrange each to y=mx+b (slope-intercept) format:
y = -11x+18 y-intercept of 18 (0,18)y = -4x + 18 y-intercept of 18 (0,18)y = - x -9 y-intercept of -9 (0,-9)It seems to me that all three can be graphed easily from simply reading the slope and y-intercept values. Since these are straight lines, all we need is two points for each line, and one is standing out in plain view, the y-intercept: (0,y-intercept). The second point can be determined by using whatever value of x makes the calculation easy
An example: y = - x -9. Plot (0,-9) for the y intercept, and then calculate one additional point (e.g., for x = - 9). (-9,0) Then connect a straight line between these two points and presto (metric term for magic), a graph. For the first equation, I picked 20 for x. For x = 20, y = -29. That was easy, and we have the second point: (1,-10)
See the attachment for how this was done. The first points are all for the y-intercept (0,[18 or 9]). All of the second points were calculated in my head by using a convenient value for x.
This approach doesn't work well for non-linear equations. There, I find it easier to set up a table of values - a spreadsheet such as Excel is my tool for the calculations.
The attachment also demonstrates the Really Easy Way to graph functions. DESMOS, a free, and excellent, online calculator.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
7/20
Step-by-step explanation:
7 / 20 0.35
Answer:
7/20
100/20=5
7*5=35.
-
If AACB = ADCE, ZCAB = 50°,
ZDCE = 45°, and ZCDE = 10x
=
D
E
с
x = [?]
Please help
Answer:
∠BAC=70°
Step-by-step explanation:
If AB || CD and BC II DE that means the two triangles are congruent or the same, this means ∠BAC°=∠DCE°, ∠ABC°=∠EDC°, and ∠BCA°=∠DEC°. The three angles of a triagle add up to 180°. If ∠DEC=45° and ∠EDC=65°
Total°-(∠DEZ°+∠EDC°)=∠DCE° or ∠ECD°
180°-(65°+45°)=70°
∠BAC°=∠DCE°
Therefore ∠BAC=70°
A print shop charges $20 to set up the graphic for printing t-shirts. The store then charges $12 per shirt for purchasing up to 10 shirts. The charge decreases to $10 if a customer purchases 10-20 shirts. If a customer purchases more than 20 shirts, each shirt will cost $7. What will it cost a soccer team to have 15 shirts printed?right and grab a piecewise function that models the situation answer the question
Answer:
see below for the piecewise function$170 for 15 shirtsStep-by-step explanation:
The cost function c(n) for n T-shirts can be written according to the problem statement:
[tex]c(n)=\begin{cases}20+12n&\text{for }n<10\\20+10n&\text{for }10\le n\le20\\20+7n&\text{for }n>20\end{cases}[/tex]
For an order of 15 shirts, the cost will be ...
c(15) = 20 +10(15) = 170
The soccer team's 15 shirts will cost $170.
6) An ice cream factory makes 200 quarts of ice cream in 5 hours. How many
quarts could be made in 12 hours? What was that rate per day?
Answer:
480 quarts could be made in 12 hours
Rate: 40 quarts per hour
Step-by-step explanation:
Rate: 200/5 = 40 quarts per hour
(40)(12) = 480 quarts
Identify the diameter of the circle
What type of market structure would toothpaste, jeans and laundry
detergent be apart of?
Answer:
The personal hygiene part of the store (I think)
Step-by-step explanation:
This is an ultimately weird question, so I don't really know. But my answer is what I think, (I don't even know if it exists though).
how do you find the area of something
Answer:
multiply the length and the width of a rectangle or a square
SOS l don’t understand please help me
Answer:
that's the answer hope it helps to you
Please answer with an explanation (polynomials)
Answer:
[tex]-8p^2+10p-3[/tex]
Step-by-step explanation:
[tex](-1+2p)(3-4p)[/tex]
Distribute
[tex]-1(3-4p)+2p(3-4p)[/tex]
[tex]-3+4p+6p-8p^2[/tex]
Then you will organize it into standard form and combine the like terms
[tex]-8p^2+6p+4p-3[/tex]
[tex]-8p^2+10p-3[/tex]
Hope this helps!
Using Pythagoras, find the lengths of the sides labelled with letters.
Answer:
Step-by-step explanation:
A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
15 3/4 each day. Represent the total change in the number of bushels he has for sale after 5 days.
Answer:
15 3/4 = (15*4 + 3)/4 = 63/4
5*(63/4) = 78.74 OR 78 3/4
The change in the total number of bushels is 78 3/4 bushels.
How long does it take him to make $375.25
The shape of base of a cubic box is _______
Answer:
The shape of base of a cubic box is square
Step-by-step explanation:
Here the figure is
Here the base is square
The shape of base of a cubic box is square
Answer:
The base is a square
Step-by-step explanation:
Since this question is very straightforward it is asking us the what it the base or what holds the shape itself. We know that a cube is made up of all squares so we can say the the base is a square.
the distance between the points (-4, -3) and (-8, 6) to the nearest whole number.
Answer:
X1=-4,Y1=-3,X2=-8,Y2=6
=√(X2-X1)^2+(Y2-Y1)^2
=√(-8-(-4))^2+(6-(-3))^2
=√(-4)^2+(9)^2
=√(16+81)
=√97units
if a is more than b, what is the equation for an ellipse with a centre at the origin and a horizontal major axis?
Answer:
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
PLEASE HELP ME 50 POINTSS 1!1!1!1!1!1!1!1!1!11!1!1!1!
How long does it take a baseball moving with an average
speed of 35 m/s to travel 18 m?
What is the average speed of a car that travels 870 km in 14.5
h?
Answer:
1) the baseball will take approx 0.514 seconds to move 18 meters.
35/1 = 18/x
x = 0.514s
2) the car's average speed is 60 km per hour.
870/14.5 = x/1
x = 60h
Make x the subject
5px+q^2=3c
Answer:
x=[tex]\frac{3c-q^2}{5p}[/tex]
Step-by-step explanation:
5px+q^2=3c
subtract q^2 from both sides
5px=(3c)-q^2
divide by 5p from both sides
x=[tex]\frac{3c-q^2}{5p}[/tex]
Which is the better buy 31 once bottle of katchup for $2.53 Or a 64 once bottle for $5.05
Answer:
64 once bottle for $5.05
Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
I = 0
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5
?
Save For Later
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Answer:
See belowStep-by-step explanation:
The quadratic equation in factored form:
a(x - α)(x - β), where a- leading coefficient, α and β - rootsWe have:
a = 3, α = 1, β = -2Substitute them to get:
3(x - 1)(x + 2)Converting this into standard form:
3(x - 1)(x + 2) =3(x² + x - 2) =3x² + 3x - 6Simplify this question
[tex]4 + \sqrt{ - 16} \\ = 4 + \sqrt{ - 2 \times 2 \times 2 \times 2} \\ = 4 + 2\sqrt{ - 4} \\ = 2(2 + \sqrt{ - 4} )[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\\ \sf\longmapsto 4+√-16[/tex]
[tex]\\ \sf\longmapsto 4+√16i[/tex]
[tex]\\ \sf\longmapsto 4+4i[/tex]
Take 4common[tex]\\ \sf\longmapsto 4(1+i)[/tex]
A 10-foot board is reduced in a 4-foot board. What is the percent decrease in length?
When a stone is dropped from a height, the time taken to fall, t, is proportional to the square root of the distance fallen, d.
Write down a formula, using k, connecting the time taken to fall and the distance traveled.
Step-by-step explanation:
We know that in kinematics we can write the formula for uniformly accelerated bodies:
s = 1/2 a t^2 + v0 t + s0
In our case s0 (initial deployment) = 0m and v0 (initial velocity) = 0
So:
s = 1/2 a t^2
Now we isolate t:
t = [tex]\sqrt[2]{\frac{2s}{a} }[/tex]
All proportionalities are obvious.
Note: I forgot to say that a, the acceleration, is the gravitational acceleration. It can be g or -g depending on how you'll choose the reference system.
The path of a ball thrown can be modeled by the equation f(x)=−16x^2+45x+6, where x is the horizontal distance. Use a transformation to create a new model in which the ball is thrown twice as far. What is the new equation, what is the transformation, and how did you pick this?
Answer:
g(x) = -4x^2 +(45/2)x +6
Step-by-step explanation:
A function is scaled horizontally by replacing x with x/k, where k is the expansion factor. Here, we want to expand the graph horizontally by a factor of 2, so the new function will be f(x/2).
g(x) = f(x/2) = -16(x/2)^2 +45(x/2) +6
g(x) = -4x^2 +(45/2)x +6
NEED HELP ASAP ALGEBRA 2
Answer:
3.5hours
Step-by-step explanation:
7 hours is the max but divided by 2 people it is 3½ hours
HELLO EVERYONE
WHAT IS THIS ANSWER??? ANYONE KNOW? i need help on this question. it is kinda confusing but if anyone knows pls txt back to this post. thank you so much and have a good day.
Answer: The volume of this cylinder is 2389.18 cubic cm, and the surface area is 1000.6 square cm.
How much Lilac would earn if she deposited ₱25,000.00 on the bank with 3% interest per year after 5 years?
paki answer po T-T
Answer:
p= 25000
I=3%
t=5yrs
a= pti÷ 100
25000*3*5÷100
3750