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
Please help I will give good points! Fake answers=report
Answer:
159
Step-by-step explanation:
10^2+(3+5)^2-5
First do the parentheses: 3+5 is 8
Now the equation is
10^2+8^2-5
Exponents:
10^2 is 100
8^2 is 64
100+64-5
Simplify and you would get 159
Thus the answer is 159
Hope this helps!
First thing we want to know is what it is asking us.
So, it is asking us to evaluate this expression. Which means to find the answer to it.
Second thing is the order of Operations.
P- (Parentheses)
E-Exponents
M Multiplication
D Division
A Add
S Sub
Now that we know what that means, we may now solve it.
you see a parenthesis, right? Do what is inside first
1.3+5=8
Now there is a exponent by the parentheses. We do that next
(Exponent means we times that number by the number. Like 4 to the power of 3 is really just 4x4x4)
2.8 to the power of 2 is 8x8 which is 64.
So, we got 64 down let's see our equation now.
10^2+64-5
Now, the next step in PEMDAS Is to do the exponents. 10 to the power of 2 is really just 10x10.
(A trick is that if you see the little number beside the 10, it means how many zeros there are like 10to the power of 2 is 100)
So, our new equation is
100+64-5.
Now all we have to do it add and sub right to left
100+64=164
Our new equation is 164-5 which is 159.
I hope this helps! If it's wrong blame me..
Please help me with my question
Answer:
[tex]\huge\color{Black}\boxed{\colorbox{pink}{Answer♡}}[/tex]
Given ,[tex]p(x) = ax {}^{3} + 8x {}^{2} + bx + 5 ...(1)[/tex]
Also According to Question ,on dividing polynomial p(x) by ( x + 2 ) , we obtain ( -25 ) as a remainder.
Therefore , putting the value of x as ( x = -2 )
[tex]p( - 2) = a( - 2) {}^{3} + 8( - 2)^{2} + b( -2) + 5[/tex]
[tex]p( - 2) = - 8a + 32 - 2b + 5 = - 25 \\ = > - 8a - 2b + 37 = - 25 \\ = > - (8a + 2b) = - (25 + 37) \\ cancelling \: negative \: sign \: at \: both \: sides \\ 8a + 2b = 52 \\ dividing \:both \: sides \: by \: 2 \\ 4a + b = 26...(2)[/tex]
also given that..
when the polynomial p(x) is divided by 2x-1 , it gives 0 as the remainder , i.e. , 2x-1 is a root of p(x)
putting value of x = 1/2 in equation (1)
[tex]p( \frac{1}{2} ) = a( \frac{1}{2}) {}^{3} + 8( \frac{1}{2} ) {}^{2} + b( \frac{1}{2} ) + 5 = 0 \\ = > \frac{a}{8} + \frac{8}{4} + \frac{b}{2} + 5 = 0 \\ = >taking \: LCM \\ = > \frac{a + 16 + 4b + 40}{8} = 0 \\ = > \frac{a + 4b + 56}{8} = 0 \\ = > a + 4b = - 56...(3)[/tex]
Now , we have equations (2) and (3) as...4a + b = 26... (2)
a + 4b = -56... (3)
multiply equation (2) by 4..16a + 4b = 104...(4)
Solving equations (3) and (4)a + 4b = -56
16a + 4b = 104
- - - ( bc signs are same )solving these equations we get,
-15a = -160
a = -160/-15
a = 32/3
putting value of a in (2) , we get...[tex]4a + b = 23 \\ 4( \frac{32}{3} ) + b = 23 \\ \frac{128}{3} + b = 23 \\ b = 23 - \frac{128}{3} \\ taking \: LCM \\ b = \frac{69 - 128}{3} \\ = > b = \frac{ -59}{3}[/tex]
hope helpful~
15 more than the quotient of a number x and 12.
Answer:
(x/12)+15
Step-by-step explanation:
HELP!! Select the values for the domain and range of the functions graphed below.
Answer:
Graph 1
Domain = -8 =< x =< 10
Range = -9 =< f(x) =< 9
Graph 2
Domain = -1 =< x =< 5
Range = -1 =< f(x) =< 2
Explaination:
Domain means the inputed x values on the x-axis, so to make things simpler and to not write every individual x values. We write it with <, >, and =<. (you can see it as the 'width' of a graph).
Range means the output y values on the y-axis. It's like the 'height' of a graph. And also, to make things simpler and to not write every individual y values. We write it with <, >, and =< with f(x) too because f(x) = y.
Solve for x. −4.5(x+3.21)= −33.21 HELP PLZ
Answer:
4.17
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
Bailey and Elena compete in a swim race. Their times are
shown below.
Round each time to the nearest whole second. Then estimate how
many seconds Bailey won the race by.
50-m Freestyle Results
Time
Swimmer
(seconds)
Bailey 35.78
DONE
Elena
39.51
11
Complete
&
ty
Answer:
3.7
Step-by-step explanation:
39.5 - 35.8 is 3.7
[tex]39.51=40\\ 35.78=36\\\\ 40-36=16 more seconds more than Bailey.[/tex]
if its any number from 5 and larger, you can round it up to a whole.
If f(x)=2x+1 and g(x)= x² +3 find g(f(x)) and simplify completely.
Answer:
4x²+ 4x +4
Step-by-step explanation:
g(f(x)) = (2x + 1)² + 3
= 4x² + 4x + 1 + 3
= 4x²+ 4x +4
Answer:
(4x^2) + (4x) + 4
Step-by-step explanation:
Let a = f(x) = 2x+1
g(a) = a^2 + 3 = (2x+1)^2 + 3 = 4x^2 + 4x + 4
Twenty is what percent of 25?
Answer:
80%
Step-by-step explanation:
20:25*100 =
(20*100):25 =
2000:25 = 80
Now we have: 20 is what percent of 25 = 80
Question: 20 is what percent of 25?
Percentage solution with steps:
Step 1: We make the assumption that 25 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=25$.
Step 4: In the same vein, $x\%=20$.
Step 5: This gives us a pair of simple equations:
$100\%=25(1)$.
$x\%=20(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{25}{20}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{20}{25}$
$\Rightarrow x=80\%$
Therefore, $20$ is $80\%$ of $25$.
Hopes This Helps :)
When two parallel lines are intersected by a transversal, alternate exterior angles are?
1. Different
2. 180 degrees
3. 90 degrees
4. congruent
Pleas dose anyone know all the answers to the South and East Asia for endogeneity unit test? :)
help me with this no links
Answer:
6 maybe I'm not sure jkeneekenene
Answer:
3x
Step-by-step explanation:
A rectangle is similar to a square, in the sense that opposite sides will always be the same. Because we are given the side of the length is 3x-3, this means that the other length will too be 3x-3. Now, we may add these:
(3x-3)+(3x-3)=6x-6
And because we are given our perimiter, simply subtract the lengths we do know:
(12x+6)-(6x-6)=6x
This is the perimetor we have left in our shape. Because we again know that opposing sides are the same length, simply dividing our answer by two will give us the length we need:
6x/2=3x
Based on this, our length of the indicated side is 3x!
Hope this helped!
Given this graph of the function f(x) a) b) c) d) please a need help
Answer:
a) 2
b) -2
c) -2
d) 1/2
Step-by-step explanation:
1) f(-4) means that x=-4 and you must locate the y value on the graph
2) f(2) means that x=2 and you must locate the y value on the graph
3) f(x)=4 means that y=4 and you must locate the x value on the graph
4) f(x)=-1 means that y=-1 and you must locate the x value on the graph
-5 5/6 - ( -2 1/3 ) + 5 1/6
I don’t quite understand how to solve question 1-A.
Answer:
for every 1000 people, the maximum noise level goes up by 1.5
M(ax+by+c)=0 make y subject
[tex]M(ax+by +c)=0\\\\\implies ax+by +c =0\\\\\implies by = -ax-c\\\\\implies y = \dfrac{-ax -c}{b}\\\\\implies y = - \left(\dfrac{ax+c}b \right)[/tex]
Can someone help me?
Answer:
d
Step-by-step explanation:
5p coins weigh approximately 3 grams
what would the weight of £5 worth of 5p coins ?
give your answer in kg
Answer:
0.3kg(300g)
Step-by-step explanation:
£1=100p
£5=500p
5p=3g
500p=x
x=500*3/5
x=300g
Step-by-step explanation:
£5 in pence is 500p
The number of 5p coins in 500p is:
500/5 = 100 (5p coins)
each 5p coin weighs 3g
therefore the £5 weighs in grams:
3x100 = 300g
To change to Kg: 300/1000 = 0.3 Kg
please help me with this
Estimate the product. Then find the actual product.
483 x 9.2
please label what the actual product is and the estimate
Answer:
it is in the steps 4443.6 actual product
estimate is 4444
Step-by-step explanation:
483*9.2=4443.6 actual product
Actual Product:
4443.6
Estimated Product:
4444
How is it 4444?
4443.6
the 6 is greater than 5 making the 3 go to 4.
Bus A and Bus B leave the the bus depot at 2 pm.
Bus A takes 15 minutes to complete its route once and bus B takes 25 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answer:
3:15 pm
Step-by-step explanation:
You can imagine that they go in a circle (we can do whatever we want in theoretical math and physics). By doing so we know we can obtain a cosinusoidal wave by projecting the motion on a plane. Each one of the buses has a period (minimum time after what they're in the same point again). For the first one it's 15 minutes, for the second one it's 20 minutes. We have to take the least common multiple of the periods, that is 75 minutes. So They'll meet every 75 minutes. Add 75 minutes (1h and 15 minutes) to 2pm and there you go.
You have at most $10 to spend on notebooks and markers. Markers cost $1 each, and
notebooks cost $1.25 each. You want to buy at least 5 items. Write an inequality that
represents this situation. Identify and interpret two solutions.
Directions: Name the coefficient (s) in the following expressions:
1. 9s + 4t
2. 46rs + 10x
3. 18q + 14x
4. 10x + 14y
5. 17rs + 32x
6. 5x + 7y - 5z
7. 3ab + 70m
8. 3r + 20a + 10m
9. 7k + 16m
10. 7r + 5s
11. 9j + 120m
12. 12k + m
13. 6c + 15h + w
14. 2c - 19d + 12f
15. 3t + 14r - 31j
can someone just answer god
Answer:
Coeffecients are the letters before the numbers.
1. 9 and 4
2. 40 and 10
3. etc
Step-by-step explanation:
Which operation should you perform first when you simplify 63 − (2 + 54 × 6) ÷ 5? A division B multiplication C subtraction D addition
Answer:
start with what's inside the parenthesis so in this case do 54x6 first then solve (2+ whatever the answer was by multiplying 54 times 6
Step-by-step explanation:
Answer A division
A certain factory produces and sells C computers per month. It costs x dollars to produce a single computer, and the factory sells each computer for y dollars. Their monthly net profit is 10,000 dollars.
Write an equation that relates C, x and y.
Answer:
Cy-Cx=10,000 this is the best answer ever
The scale for an
airplane is 1 cm
for 15 feet. If the
plan is 9 cm
long, how long is
the actual plane?
Answer:
135 ft
Step-by-step explanation:
Each centimeter represents 15 feet, so 9 centimeters will represent ...
9 × 15 ft = 135 ft
The plane is 135 feet long.
76 % of 150 calculate this
help ASAP please hmmmm
Answer:
the 3rd and 4th one r correct
Step-by-step explanation:
hope this helps!!!!
So im stuck again can anyone help with #4,6,7 TwT srry 2 ask again
- #4 -
y = 12
[] First we will solve for x. Our angles with x are vertical angles, so they can be set equal to each other
8x - 61 = 6x - 13
8x - 48 = 6x
-48 = -2x
24 = x
[] Then, we will plug it into one of the angles (with x) and solve:
8x - 61
8(24) - 61
192 - 61 = 131
[] Last, these are supplementary angles so we can add them together and set it equal to 180:
131 + 3y + 1 = 180
132 + 2y = 180
2y = 48
y = 12
- #6 -
y = 22
[] First we will solve for x. These angles are vertial angles, so we can do the following:
9x + 42 = 15x
42 = 6x
7 = x -> x = 7
[] Then, we will plug it into one of the angles (with x) and solve:
15x = 15(7) = 105
[] Last, we will solve for y. These are supplementary angles so we can add them together and set it equal to 180:
4y - 13 + 105 = 180
4y + 92 = 180
4y = 88
y = 22
- #7 -
y = 9
[] First we will solve for x. They are supplementary angles so we can add them together and set it equal to 180:
x + 21 + 3x + 11 = 180
4x + 32 = 180
4x = 148
x = 37
[] Then, we will plug it into one of the angles (with x) and solve:
3x + 11 = 3(37) + 11 = 111 + 11 = 122
[] Last, we will solve for y. These are vertical angles, so they can be set equal to solve:
122 = 14y - 4
126 = 14y
9 = y
- See attached for where I pulled numbers from -
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
3 1/8 - b = 1 3/4
how do I figure out what b is?
A square with side length s has perimeter 4s. Nellie painted on a square canvas that is 10.5
inches on each side.
What is the perimeter of the picture?
Write your answer as a whole number or decimal.
Answer:
42inches
Step-by-step explanation:
Perimeter = 4s
where s is length of each side
when s is 10.5
Perimeter = 4 × 10.5
= 42