Answers
Answer: [tex]y < -\frac{1}{2}x+3[/tex]
This is the same as writing y < (-1/2)x+3
==============================================================
Explanation:
The dashed boundary line goes through (0,3) and (4,1)
Apply the slope formula for those two points
m = (y2-y1)/(x2-x1)
m = (1-3)/(4-0)
m = -2/4
m = -1/2
The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing [tex]y = -\frac{1}{2}x+3[/tex]
We shade below the dashed line to represent the inequality [tex]y < -\frac{1}{2}x+3[/tex]. Points in the shaded region are solutions to the inequality. One example point is (0,0).
Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.
Related Questions
[tex]\sqrt{17} \times \sqrt{17}[/tex]
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent value is ~
[tex] \boxed{17}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex] \sqrt{17} \times \sqrt{17} [/tex][tex]( \sqrt{17}) {}^{2} [/tex][tex]{(17 {}^{ \frac{1}{2}}) }^{2} [/tex][tex]17[/tex]5 sin^2 x = sin x
please help.
Answers
[tex]\\ \sf\longmapsto 5sin^2x=sinx[/tex]
Divide both sides by sin x[tex]\\ \sf\longmapsto \dfrac{5sin^2x}{sinx}=\dfrac{sinx}{sinx}[/tex]
[tex]\\ \sf\longmapsto 5sinx=1[/tex]
[tex]\\ \sf\longmapsto sinx=\dfrac{1}{5}[/tex]
[tex]\\ \sf\longmapsto sinx=0.2[/tex]
[tex]\\ \sf\longmapsto x=sin^{-1}(0.2)[/tex]
[tex]\\ \sf\longmapsto x=11.53[/tex]
Draw triangle GMT
PLS CREATE DRAWING!! refer to attachment
Answers
The angle between sides GM and MT is ∠M.
The 2 sides that include ∠T are MT and GT.
The angle between sides GT and MG is ∠G.
There's not much to say about this, but I can answer questions if you have any.
At time t = 0, water begins to drip out of a pipe into an empty bucket. After 77 minutes, there are 11 inches of water in the bucket. Write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t.
The linear function rule is W =
Answers
Answer:
w = 1/7t
Step-by-step explanation:
Assuming the rate is constant, the function will be ...
w = kt
We can find k using the given values:
11 = k·77
k = 11/77 = 1/7
The linear function rule is w = 1/7·t.
The distance, d, that an object foto is directly proportional to the square of the time, t, it has been in free fall. An object that has been in free fall for 8 seconds has fallen 1024 feet. Determine the distance the object has fallen if it has been falling for 2 seconds
Answers
Answer:
d = 64 feet
Step-by-step explanation:
Given that d is directly proportional to t² then the equation relating them is
d = kt² ← k is the constant of proportion
To find k use the condition t = 8 , d = 1024 , then
1024 = k × 8² = 64k ( divide both sides by 64 )
16 = k
d = 16t² ← equation of proportion
When t = 2 , then
d = 16 × 2² = 16 × 4 = 64 feet
work out the circumference area of glass on top of a cabinet with a diameter of 1.8, using tt=3.4
Answers
Can someone please answer for a and c
Answers
Answer:
a=3√2, c= [tex]\frac{3\sqrt{2}}{2}[/tex]
Step-by-step explanation:
First Triangle, this is a 45-45-90 triangle
so the side are 1-1-√2
so if one of the side is 3, you multiply the above by 3
1*3-1*3-√2*3
therefore, a=3√2
Second triangle
this is a 30-60-90 Triangle
so the sides are x-x√2-2x
for this triangle
x√2=6
x=6/√2 --> multiply by √2/√2 --> this gets ride of the √2 in the denominator
x=6√2/4 --> simplify
x=[tex]\frac{3\sqrt{2}}{2}[/tex]
therefore, c=[tex]\frac{3\sqrt{2}}{2}[/tex]
Select all the products that are negative.
(–4)(–9)(2)
(–4)(9)
(6)(6)(–2)
(–6)(–6)
(6)(–6)
Answers
Answer:
(–4)(9)
(6)(–6)
(6)(6)(–2)
Step-by-step explanation:
(–4)(–9)(2)
=36(2)
=72, No
(–4)(9)
=-36, Yes
(6)(6)(–2)
=36(-2)
=-72, Yes
(–6)(–6)
=36, No
(6)(–6)
=-36, Yes
Pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
It's B.
Step-by-step explanation:
please explain it to me that how I gonna answer this : integral of secx I know the answer but how?
Answers
Answer:
We know that the derivative of sec x is sec x tan x. Thus, the integral of sec x tan x is sec x. i.e., ∫ sec x tan x dx = sec x + C.
Step-by-step explanation:
The standard trick used to integrate secx is to multiply the integrand by 1 = sec x+tan x. sec x+tan x. and then substitute y = secx + tanx, dy = (secxtanx + sec2 x) dx. ∫ secx dx = ∫ secx sec x+tan x).
Select the ordered pair that is a solution to the equation represented by the graph.
Answers
Answer:
c
Step-by-step explanation:
Evaluate the following by writing it as a difference of two squares first:
103^2 − 97^2
Answers
Answer:
1200
Step-by-step explanation:
A difference of 2 squares factors in general as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
The correct answer is 1200.
What is the difference between two squares called?Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.
A difference of 2 squares factors in general is written as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
Learn more about the difference of 2 squares here https://brainly.com/question/3189867
#SPJ2
What is the value of p²q² given that p=10 and q=8?
Answers
Answer:
6400
Step-by-step explanation:
Substitute the given value into the expression
p²q²
= 10² × 8²
= 100 × 64
= 6400
Step-by-step explanation:
given that p=10
you would times 10 by itself so:
10x10=100
now the same for the q=8
8x8=64
now i think you would have to times 100 with 64 if not than there's your answer
which equals to 6400 (if you times it)
hope that helps
Thanksgiving Dinner Logic Grid Puzzle
Answers
Answer:
Step-by-step explanation:
Help pleaseeee
Correct answers only
Answers
Answer: D 10
Step-by-step explanation:
Solve each equation.
1. r-38= 9 _____
2. h+17=40 _____
3. n + 75= 155 ____
4. q - 17= 18 _____
Answers
Answer:
1. r - 38 = 9
=> r = 9 + 38
=> r = 47
2. h + 17 = 40
=> h = 40 - 17
=> h = 23
3. n + 75 = 155
=> n = 155 - 75
=> n = 80
4. q - 17 = 18
=> q = 18 + 17
=> q = 35
Step-by-step explanation:
Hoped this helped.
Ann made a scale drawing of a theater. The scale she used was 1 inch : 7 feet. The stage is
28 feet wide in real life. How wide is the stage in the drawing?
inches
Answers
Answer:
4 inStep-by-step explanation:
Use ratios and solve:
1 in ÷ 7 ft = x in ÷ 28 ftx = 28/7 inx = 4 inHelp plz. No links.
What is 8.21 times 4.2?
Show your work.
Answers
Answer:
34.482 is the answer to your question
8.
Use vertex form to write the equation of the parabola.
A. y= 3(x - 2)^2 - 2
B. y= (x + 2)^2 + 2
C. y= 3(x + 2)^2 + 2
D. y= 3(x - 2)^2 + 2
Answers
Answer:
C. y= 3(x + 2)^2 + 2
Step-by-step explanation:
A. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( 2 , − 2 )
B. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( − 2 , 2 )
C. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( − 2 , 2 )
D. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( 2 , 2 )
what is the vertical asymptote for this function?
y=1/x-2
Answers
Answer: x = 0
Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.
Answer:
2
Step-by-step explanation:
One centimeter is equal to 10^-2 meters. What decimal number
is equivalent to 10^-2
Answers
Answer: shoulb be to the thirs 4/8
Step-by-step explanation:
At Splatball Indoor Paintball, it costs $34.95 per person to play, and extra paintballs are available to buy. A group of n friends paid their admission, and also spent $94.95 on 2000 extra paintballs. They spent a total of $374.55. Write and solve an equation to determine n, the number of people in the group.
Answers
Answer:
$374.55 - $94.95 = $279.60 = N
$34.95 x 8 = $279.60
N=8
Step-by-step explanation:
What are the roots of the equation 16x² + 16x + 5 = 0 in simplest a + bi form?
Answers
Answer:
Below in bold.
Step-by-step explanation:
Using the quadratic formula :
roots = [-16 +/-√(16^2 - 4*16*5)] / (2*16)
= -0.5 +/- √(-64) /32
= -0.5 +/- 8i/32
= -0.5 + 0.25i and -0.5 - 0.25i
[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]
[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]
[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]
pls help me with these 2 questions
Answers
Answer:
x(2x-1)=0
3x-1x=0
2x=0
x=0/2
x=0
Step-by-step explanation:
LCM
first term =3x
=3×x
second term = 4x²y
=2×2×x×x×y
third term =x(x+1)
LCM=x
Answer:
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Three out of 8 skittles are are green. Which percent represents the fraction of green skittles in total?
Answers
Answer:
well like this 3/8
Step-by-step explanation:
3/8 and rest is 5/8 in fraction form
Xavier wants to order CDs online. Each CD costs $17.50 and shipping is $4. He only has $90 to spend.
Answers
A cylinder has a base radius of 8 meters and a height of 19 meters. What is its
volume in cubic meters, to the nearest tenths place?
Answers
Answer:V≈3820.18m3 the best i got
Step-by-step explanation: V=πr2h=π·82·19≈3820.17667m³ i hope this helps
What is the area of this figure?
Answers
Given :-
A figure is given to us .To Find :-
The area of the figure .Solution :-
As we can see that the given figure is made up of a parallelogram and a ∆ . As we know that the opposite sides of a parallelogram are equal . So that the base of the ∆ would be 9cm . Now ,
[tex]\longrightarrow[/tex] Area = ar(||gm ) + ar(∆)
[tex]\longrightarrow[/tex] Area = (9*5 + 1/2*8*9)cm²
[tex]\longrightarrow[/tex] Area =( 45 + 45 ) cm²
[tex]\longrightarrow[/tex] Area = 90cm²
Hence the area of the given figure is 90cm² .
Jill cut 26 apples today. 12 of those apples were red. The rest were green. What is the ratio of red to green apples?
Answers
Answer:
7 : 6 is the ratio
Step-by-step explanation:
14 apples were green and 12 apples were red, so divide both terms by 2.
14 ÷ 2 = 7
12 ÷ 2 = 6
Therefore:
14 : 12 = 7 : 6.
12 Red
14Green
think of it as a fraction
12/14
find a common denominator (2)
12/14= 6/7
so the ratio is actually 6:7 because it says “what is the ratio of red to green apples” that means they want it in that order.
for a brainlist let me know asap if i am correct
and pls explain
Answers
Answer:
A
Step-by-step explanation: