Answers
Step-by-step explanation:
if you are given an equation of a form y=kx+b, k is gradient and b is y-intercept
in c you can write this equation as y=(2x/3)-2,so gradient = 2/3 and y-intercept =-2
in e:6y=2x+3
y=x/3+1/2,gradient = 1/3, y-intercept=1/2
The gradient or Slope in a linear equation is simply the value "a" in this equation : y = ax + b
And the y-intercept is simply the value b.
so for example, what is the slope of y = 5x + 3 ? What is the y-intercept ? Well the gradient (or slope) is 5, and the y-intercept is 3.
So, for a.
y = -1/2x + 8
it's pretty simple : gradient = -1/2
y intercept = 8
Now for c.
[tex]y=\frac{2x-6}{3}[/tex]
[tex]y=\frac{2}{3}x-\frac{6}{3}[/tex]
[tex]y=\frac{2}{3}x-2[/tex]
So the gradient is 2/3 and the y intercept is -2 (and not +2, be careful there is a negative sign :) )
e.
-2x + 6y - 3 = 0
6y = 2x + 3
y = (2/6)*x + (3/6)
y = (1/3)*x + (1/2)
so the gradient is 1/3
and the y-intercept is 1/2
Good luck, your the best :)
Related Questions
A car moves at a speed of 45 km/h for 20 minutes. what is the distance traveled by the car ?
don't ya ans if u don't know
no plagiarism and spams
need a well explained ans
Answers
Speed of car
[tex]45 \frac{km}{h} [/tex]Time : 20 min [tex] \frac{20}{60} h[/tex][tex] \frac{1}{3} h[/tex]We have , speed [tex] = > \: \frac{distance}{time} [/tex]:. Distance [tex] = > \: speed \: \times \: time \\ = > \: 45 \frac{km}{h} \: \: \times \frac{1}{3} h \: \: \\ = > 15 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]Hence , the distance covered by the car is 15 kmBRAINLIEST
Solve for X. Round to the nearest tenth.
Answers
Step-by-step explanation:
2 things to remember for problems like this :
the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.
so, now for the given problems :
4.
x/sin(90) = 12/sin(29)
x/1 = x = 12/sin(29) = 24.75198408...
rounded x = 24.8
5.
the opposite angle of x is
180 - 90 - 16 = 74 degrees.
x/sin(74) = 37/sin(90) = 37
x = 37×sin(74) = 35.56668275...
rounded x = 35.6
6.
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 22/sin(58)
x = 22×sin(32)/sin(58) = 13.74712574...
rounded x = 13.7
7.
the opposite angle of 15 is
180 - 90 - 51 = 39 degrees.
x/sin(51) = 15/sin(39)
x = 15×sin(51)/sin(39) = 18.52345735...
rounded x = 18.5
Find the area of triangle PQR.
Answers
Answer:
70°
Step-by-step explanation:
Since PTS shape is equal to QTR
and PTQ shape is equal to STR
and Since QTP = 10
and Since PTS = 60
Add both up 70
Therefore PQR = 70°
help me please someone
Answers
Step-by-step explanation:
a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.
the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.
that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.
so, yes, therefore the area grows or shrinks with the square of the scale factor.
FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.
1. k=2
new area = k² × old area = 4 × 12 = 48 square units.
2. k=5
new area = k² × old area = 25 × 12 = 300 square units.
3. k=1
new area = k² × old area = 1 × 12 = 12 square units.
4. k=1/4
new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.
5. k=1.2
new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.
John earned $12 a day for babysitting his siblings after school each weekday (he did not babysit on weekends). He liked to have a small amount of money to spend on treats at the school canteen that his parents refuse to buy, but he also wanted to build up some savings. John decided to put a fraction of his earnings into a jar straight away. He spent all the rest on canteen treats.
How much money did John earn over a nine week term?
After 9 weeks, John had $378 in his jar. What percentage of his money did he save?
Answers
Answer:
He earns $540
70% of his money went to savings
Step-by-step explanation:
9 weeks x 5 days a week = 45 days
45 days x $12 a day = $540
378 * 100 / 540 = (378*100) / 540 = 37800/540 = %70
Foster is centering a photo that is 9 1/2 inches wide on a scrapbook page that is 10 inches wide. How far from each side of the page should he put the picture? Enter your answer as a mixed number. / pls help quick
Answers
Answer:
should be 1/4 inches away from each side
Step-by-step explanation:
all I did was take the 10 inches,subtract 9.5 from that to get 1/2 left.
since it needs to be centered, divide that by two for each side.
and 1/2 ÷ 2 = 1/4
so I got 1/4 inches on each side.
Please help find x it would helpful
Answers
Answer:
12
Step-by-step explanation:
Apply the second theorem of Euclides.
x^2= 16*9 follows that x = sqrt(9*16) = sqrt(144) = 12
sqrt means square root
Explanation:
1 gal = ____ pt
A) 8.085 pt
B) 8.85 pt
C) 88.5 pt
D) 0.8085 pt
eh?
Answers
Answer:
1 gal = ____ pt
A) 8.085 ptlelz XD
The kids sell all the bags pf brownies for $2 each. How much money could they make from the Brownie sale?
Answers
Answer:
212
Step-by-step explanation:
106 x 2= 212
Answer:
ok so when there is 106 bags of brownies there is two ways that u can do this that i can think of so u can do 106 + 106 which= 212 or 106 x 2 = 212 this one was pretty easy u got this feel free to ask more questions!
Step-by-step explanation:
A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus 2X each week determine what the maximum revenue will be round your answer to two decimal places
Answers
Answer:
38.30
Step-by-step explanation:
because 230 -6x=0
Somebody please help
Answers
Answer:
c/ y=20x
Step-by-step explanation:
PLEASE HELPPPP! i already asked the question but no one answered.. and my test is due in 20 minutes IM BEGGIN for the map above, state the domain and range, then determine if the relation is a function.
Answers
because the income(x) cannot have multiple outcomes that are different
Answer:
Step-by-step explanation:
domain is x = input = {3, 6, 12, 18}
Range is y = output = {5, 7, 9, 10}
for x = 6 y has two values y = 5, 10
so it is not a function
8
-6
4
ल
-8-
What is the domain of function m?
co
-2
-8
6
- 4
x
HELPP
Answers
Answer:
( - ∞, ∞ )
Step-by-step explanation:
The domain of the function is all values of x , that is
- ∞ < x < ∞ , or in interval notation
(- ∞, ∞ )
i really need help i don’t get this at ALL. :(
Answers
Step-by-step explanation:
You have to go to Y axis first then to X. For example : (4,5) go up 4 and go to x axis and when u get to 5 you put a dot. The same thing if is (-4,-5) go down 4 and to the left 5 and mark a dot. When you mark the dot put (_,_).
Hope you understand. Let me know if you don't.
I’m not sure how to answer this in a Graph, Diagram, and Algebra(algebraic reasoning too) for a,b,c, and d. Can someone please help me?
Answers
The outline that that illustrate how k values change so that the solutions are the ones in the question are as follows
(a) The number line solution contains zero
Using algebra, we have;
The given quadratic inequality is; -x² + 4 ≥ x + k
The number line solution is the expression of the solution on the number line.
We have;
-x² + 4 ≥ x + k
-x² - x + 4 - k ≥ 0
Dividing by (-1), we get;
x² + x - 4 + k ≤ 0
When - 4 + k = -2
k = 2, we get;
x² + x - 4 + 2 ≤ 0
x² + x - 2 ≤ 0
(x - 1)·(x + 2) ≤ 0
Given that the result of the product is less than zero, we have;
((-3) - 1)·((-3) + 2) > 0
Therefore, the solution are;
x ≤ 1, or x ≥ -2
Which gives
-2 ≤ x ≤ 1
Using diagram;The solution of the above inequality includes 0 as shown in the attached number line
Graphically;The graph of the inequality is plotted using MS Excel, showing the solution set, of -2 ≤ x ≤ 1
(b) There are no solution to the inequality
In the present case, we have;
((-1)² - 4×(-1) × (4 - k) < 0
17 - 4·k < 0
[tex]k > \dfrac{17}{4}[/tex]
Let k = 5, we have;
-x² + 4 ≥ x + k
-x² - x + 4 - 5 ≥ 0
-x² - x -1 ≥ 0
The discriminant, is (1² - 4×(-1)×(-1)) = -3 < 0, therefore, there are no real
roots to inequality, and -x² - x -1 is not equal to zero.
GraphicallyPlease find attached the graph of the function, which does not intersect with the x-axis, and therefore, has no values at which y = 0
(c) The solution is a single number
-x² + 4 ≥ x + k
When k = x + 5, we have;
0 ≥ x² + 2·x + 1
0 ≥ (x + 1)²
Therefore;
The only solution is; x = -1
Using diagrams:
Please find attached the solution of the function on the number line
GraphicallyThe graph of the function showing only one intercept is attached
Learn more here:
https://brainly.com/question/11982012
(High School Geometry) What is the minimum number of regions that are formed by 100 distinct lines in a plane? What is the maximum number of regions formed by 100 lines in the plane?
Answers
Answer:
101 - min, 5051 - maxStep-by-step explanation:
Minimum number of regions
You may have 100 parallel lines. This will give us 101 regions
Use following formula to find the maximum possible number of regions:
R(n) = 1 + n(n + 1)/2, where n is the number of linesR(100) = 1 + 100*101/2 = 50513(11-2x)=27
solve the equation
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve for x ~
[tex] \sf3(11 - 2x) = 27[/tex][tex]\sf33 - 6x = 27[/tex][tex]\sf - 6x = 27 - 33[/tex][tex] - 6x = - 6[/tex][tex]x = - 6 \div - 6[/tex][tex]x = 1[/tex]Value of x is ~
[tex] \boxed{ \boxed{ \sf \: 1 \: }}[/tex]
[tex]\mathrm{✌ \: Kaul ~✌}[/tex]
Find the length x.
2
4
5
X
Answers
Answer:
2.5
Step-by-step explanation:
5/4 = x/2
yeah-ya... right
Model with Two-Step Inequalities: Quiz! (ONLY 4 QUESTIONS PLS DONT PUT LINK :< )
Q1. A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.
How many seconds, s, will it take for the balloon to drop to below 215 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
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QUESTION 2. For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler _______ minutes.
Choose..."At most 10.1", "More then 10.1", "At least 10.1" or "Fewer than 10.1"
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QUESTION 3. A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer to complete the inequality.
p__
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Q4. Robbie is going shopping. He has no more than $65.00 to spend. He wants to buy a pair of shoes for $21.95 and some shirts that cost $10.50 each.
Which inequality can Robbie use to determine how many shirts, s, he can buy?
_-------------------------------------------------------------------------------------------------------------------_
YAY YOU MADE IT! Thanks if you actually answered correctly...you really made my day! :)) Sending virtual hugs your way! And here is 50 points for completing my quiz you smart and mighty warrior! <3 <3 <3 Bye!
Answers
Answer:
For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler fewer than 10.1 minutes.
Step-by-step explanation:
identify an equation in point-slope form for the line perpendicular to y = 2x + 8 that passes through (-3,9)
Answers
Answer:
y - 9 = m(x + 3)
Step-by-step explanation:
Given a line whose slope is m, the slope of a new line that is perpendicular to the given line is the negative reciprocal of m: -1/m
Given y = 2x + 8, we see that the slope is 2 and figure that the negative reciprocal of that is -1/2. This is the slope of the desired perpendicular line.
We can write the equation of this perpendicular line most easily by using the point-slope form y - k = m(x - h), where (h, k) represents the point:
y - 9 = m(x + 3)
Graph: y < 1/3x+1/2 plot this on a graph
Answers
it's was helpful to you dear ❤️❤️❤️
Answer:
Plot (0.5, 1.5) on the graph.
Which point is a solution to the inequality? (3, 1/2)
Step-by-step explanation:
hey guys did I get any of these right, if not pls help me.
Answers
Answer:Yep! All of them are right! Great job!
Step-by-step explanation:
Help please ASAP !
Answers
It should be PR=XZ.
Evaluate [tex]\frac{15}{k}[/tex] when k =3
Answers
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6
Answers
What is the common difference for this arithmetic sequence 45,40,35,30,25,
Answers
Answer:
-5
Step-by-step explanation:
ne ajudemmmm pfvvv ...
Answers
Answer:
NEED TRANSLATOR
Step-by-step explanation:
ENGLISH PLEASE
What is the solution to the system of equations?y = a system of equations. Y equals startfraction one-third endfraction minus 10. 2 x plus y equals 4. X – 102x y = 4(–8, 6)(–6, 16)(6, –8)(16, –6).
Answers
Answer: C
Step-by-step explanation:
Is this answer right?
Answers
Answer:
Blank 1: 64° (or 32°, depending on what the label applies to)
Blank 2: 42
Step-by-step explanation:
It is a common mistake to believe you have solved the problem when you have found the value of the variable(s) in the problem. You have correctly found the values of n (42) and m (9). However, that is not what the problem is asking for.
We cannot tell if the value (1/2n+11)° is referring to angle DAB, or to angle CAB. In any event, (1/2n+11)° = (1/2×42 +11)° = 32°.
If that is angle CAB, then angle DAB is twice that value, 64°.
If that is angle DAB, then angle DAB is 32°.
__
The side length CD is the same as any other side length in a rhombus, so ...
CD = 4m+6 = 4×9 +6
CD = 42 . . . . units
Find the slope of the line that passes through the point (-3,20), (12,15)