Answer:
The number is 9.
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Let the no. be x.
[tex]:\implies\tt{3x + 5 = 32} \\ \\ \\ :\implies\tt{3x = 32 - 5} \\ \\ \\ :\implies\tt{3x = 27} \\ \\ \\ :\implies\tt{x = \frac{27}{3} } \\ \\ \\ :\implies\tt{x = 9}[/tex]
Write an inequality that has the points (-2, -6) and (4, -3) on the line and (6, -4) and (2, -4) as solutions.
(use <= or >= for ≤ or ≥
symbols and write your inequality in y=mx+b form with no spaces)
inequality=
Answer in fraction form is: y ≤ (1/2)x - 5 or [tex]y \le \frac{1}{2}x-5[/tex]
Answer in decimal form is: y ≤ 0.5x - 5
You only need to pick one answer format.
========================================================
Explanation:
The drawing is below.
Let's label the four given points as A,B,C,D
A = (-2,-6)B = (4,-3)C = (6,-4)D = (2,-4)For now, let's focus on the boundary points A(-2, -6) and B(4, -3). A straight line in the form y = mx+b passes through these points. Compute the slope.
m = (y2-y1)/(x2-x1)
m = (-3 - (-6))/(4 - (-2))
m = (-3 + 6)/(4 + 2)
m = 3/6
m = 1/2
m = 0.5
Now let's use one of those (x,y) points along with that m value to find the y intercept b. I'll use the coordinates from point A.
y = mx+b
-6 = 0.5*(-2)+b
-6 = -1 + b
-6+1 = b
-5 = b
b = -5
The equation of the boundary line is y = 0.5x-5 which is the same as saying y = (1/2)x - 5 or [tex]y = \frac{1}{2}x-5[/tex]. We can refer to this as line AB.
-------------------------------
If you were to plot all four points (A,B,C,D) on the same xy grid, then you'd find that point D is on line AB. We're told that point D is a solution to the inequality, which must mean we are going to involve "or equal to" as part of the inequality sign. This will allow points on the boundary to be part of the solution set.
Notice how point C is below line AB. Since point C is also a solution, this means we go for "less than" to shade below the boundary. Overall, the sign we go for is "less than or equal to" or in short ≤
Therefore, the inequality is y ≤ 0.5x - 5
which is the same as writing y ≤ (1/2)x - 5 or [tex]y \le \frac{1}{2}x-5[/tex]
how do you expand 5(2x - 1)?
Hey there!
5(2x - 1)
DISTRIBUTE 5 WITHIN THE PARENTHESES
= 5(2x) + 5(-1)
= 10x - 5
Therefore, your answer is: 10x - 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Combine like terms.
6p+ 15 + 10p - 9
A. 16p+ 6
B. 16p+ 24
Ос. бр +6
O D. 16p - 6
Answer:
i think A. 16p+6 is answer
True or False
(1 point)
2. A function's graph may include solutions that do not appear in its table of values.
O true
false
Answer:
true
depending on how complete the table of values is.
expain plese and txsss
Answer:
(x-16)(x+2)
Step-by-step explanation:
-32=-16*2
-16+2=-14
Find 85 - 72 x 4 ÷ 2 (13 - 11)
Answer:
13
Step-by-step explanation:
using BODMAS
13-11=2
SO 2*2=4
4/4=1
1*72=72
THEREFORE it is 85-72 =13
Solve for m.
√m-7 = n + 3
A. m = n 2 + 6n + 16
B. m = n 2 + 6n + 2
C. m = n 2 + 6n - 2
Answer:
A) m=n^2+6n+16
Step-by-step explanation:
sqrt(m-7)=n+3
m-7=(n+3)^2
m-7=(n+3)(n+3)
m-7=n^2+3n+3n+9
m-7=n^2+6n+9
m=n^2+6n+9+7
m=n^2+6n+16
Which equation represents the relationship in the table?
y= 14 - 5
y = 2 + 14
Х
y
y= 14 - 3
0
14
1
9
2
4
y = 14 - 52
3
-1
lus
Suppose that y varies directly with x
and y = 10 when x = 20. What is y
when x = 15?
Enter your answer as a simplified fraction.
y =
Answer:
15/2
Step-by-step explanation:
y varies directly as x can be written as:
y & x
y = Kx
K = y/x
But from the question, we were told that:
y = 10
X = 20
K = y/x
K = 10/20
K = 1/2
The formula for the expression is:
y = Kx
y = 1/2 x
Now let us solve for y, when:
x = 15
y = 1/2 x
y = 1/2 x 15
y = 15/2
Answer:
When x = 15, y = 15/2
Step-by-step explanation:
Formula: "y varies directly with x" comes out to y = kx symbolically.
Find the value of the constant of proportionality, k: If y = 10 when x = 20, then this relationship becomes 10 = 20k, and k = 1/2.
Then the formula is y = (1/2)x.
When x = 15, y = 15/2
WILL GIVE BRAINLIEST
Answer:
B. H, I, JH(-5, -5), I(0, -6), J(2, -8)Step-by-step explanation:
You have to draw sets:
[tex]y<\dfrac{1}{2}x-1\qquad(1)\\\\y\leq-3x+2\qquad(2)[/tex]
in the coordinates system.
[tex]y=\dfrac{1}{2}x-1\\\\x=0\to y=\dfrac{1}{2}\cdot0-1=-1\to(0,\ -1)\\\\x=2\to y=\dfrac{1}{2}\cdot2-1=1-1=0\to(2,\ 0)[/tex]
dashed line
mark the region below the line
[tex]y=-3x+2\\\\x=0\to y=-3\cdot0+2=2\to(0,\ 2)\\\\x=1\to y=-3\cdot1+2=-3+2=-1\to(1,\ -1)[/tex]
solid line
mark the region below the line
Read points on the common region (look at the picture).
GIVING BRAINLIEST
What is the solution to the system of equations graphed below?
Answer:
(2,-3)
Step-by-step explanation:
The solution of two equations graphed is their intersection point.
Which would be (2,-3)
is (1, 3) a solution to the system of equations
8x + y = 11
12x + 2y = 18
Answer:
(1, 3) a solution to the system of equations
8x + y = 11
12x + 2y = 18
Step-by-step explanation:
ay están todos los deberes de la semana pasada gunnorni
Answer:
x=1 and y=3
Step-by-step explanation:
yes x=1 and y=3 is the solution for the equation.just by making y in the first equation subject of the formula and replacing in the second equation.
what would be the linear equation for (0,2) and (4,-4)
Answer:your mom
Step-by-step explanation:
srry had to do it
.pleeassssseeeeee guuyyss
Answer:
Answer: 4
Step-by-step explanation:
Is (6,7) the same point as (7,6)? Explain
Answer:
no
Step-by-step explanation:
no
Answer:
NO
Step-by-step explanation:
6,7 is a totally different point from 7,6 if you where to graph it 7,6 would be above 6,7 not on the same point.
√16 + 9 equals √16 + √9
true or
False
Answer:
True
Step-by-step explanation:
Can someone help me ? :
Answer:
[tex]\huge\boxed{\sf y = 100.4}[/tex]
Step-by-step explanation:
Given equation is:
53 = y - 47.4
Add 47.4 to both sides
53 + 47.4 = y
100.4 = y
OR
y = 100.4
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Hello there!
Question:-[tex]\sf \longmapsto53=y - 47.4[/tex]
This is a equation. We need to find the value of variable y.
Solution:-[tex]\sf \longmapsto53=y- 47.4[/tex]
To Solve further,we need to overturn the equation.
That is :-
[tex]\sf \longmapsto \: y - 47.4 = 53[/tex]
Then, Add +47.4 to two sides:-
[tex]\sf \longmapsto \: y - 47.4 + 47.4 = 53 + 47.4[/tex]
On Simplification:-
Note that (-) and (+) equals to (-). So it would be 47.4 - 47.4 . Which results to 0.
[tex]\sf \longmapsto \: y - 0 = 100.4[/tex]
[tex]\sf \longmapsto \: y = 100.4( Ans.)[/tex]
Answer as a mixed fraction:-
[tex]\sf \longmapsto 100\dfrac{2}{5}[/tex]
Answer as a fraction:-
[tex]\sf\longmapsto 502/5[/tex]
______________________________________
Henceforth, the value of y is :-
[tex]\bf \: y = 100.4[/tex]
Or as a mixed fraction:-
[tex]\bf y = 100\dfrac{2}{5}[/tex]
Or as a fraction:-
[tex]\bf y = 502/5[/tex]
________________________________
I hope this helps!
Please let me know if you have any questions.
Max points i need this for finals
Answer:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]
[tex]0 = arctan(\frac{y}{x}) + 180^o = 251.56505117708^o[/tex]
X = -4 – -2 = -2
Y = 4 – 10 = -6
[tex]Distance (d) = \sqrt{x^2+y^2}=\sqrt{40} = 6.3245553203368[/tex]
Equation of the line:
y = 3x + 16
When x=0, y = 16
When y=0, x = -5.3333333333333
The square root of 1.85
Answer:
around 1.36
Step-by-step explanation:
Nathan works the same number of hours each day, 5 days each week. He earns $12 per hour. Last week he earned $420. How many hours did he work each day?
Answer:
He worked 7 hours each day, last week
Step-by-step explanation:
-$420 earned last week
-He worked for 5 days (420 / 5)
-He earns $12 per hour
- How many hours he worked is unknown (x)
Equation
12x = 420/5
12x = 84
x = 7
Santa needs 600 toys. 175 toys have already
been made. 5 elves made the rest of the toys.
How many toys did each elf make, assuming
that they each made they amount?
Answer:
Each elf made 85 toys
Step-by-step explanation:
First we must find out how many more toys need to be made. To do this we just have to subtract 175 from 600. 600 - 175 = 425.
Next we have to divide 425 toys by the 5 elves. 425 divided by 5 is 85.
solve similar triangles (advanced)
Answer:
x = 1.125 AKA x = 1 1/8 AKA x = 9/8
Step-by-step explanation:
CB to ED = 1 : 9
Scale Factor = 1/9
[tex]\frac{1}{9} = \frac{x}{x+9}[/tex] -> cross multiply
9x = x + 9
-x -x
8x = 9
[tex]\frac{8x}{8} =\frac{9}{8}[/tex]
x = 9/8
carter has two consecutive numbers with a sum of 49. what is the smaller number?
A. 23
b. 24
C. 25
D. 26
Answer:
A.23 is the answer
Step-by-step explanation:
49-26=23
49-25=24
49-24=25
2th grade Student 1+1=11?!? my teacher told me that
Answer:
Not much sure if this is a joke but 1+1 is 2 not 11.
Step-by-step explanation:
I hope I helped.
Have a great day ;)
Find the roots 5x^2+16=7x^2/3
Answer: I Got No solution for this problem
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
No solution
Six grapefruit cost as much as a dozen oranges. The cost of a dozen grapefruit and two dozen oranges
is $12. If Susan purchased one orange and one grapefruit, how much did she spend? Show your
thinking.
a.Write System of equations for the above problem.
b. Solve the system of equations
c.Explain the meaning of the solution in the context of the problem.
Answer:
$0.73
Step-by-step explanation:
Let's say an orange costs O dollars and a grapefuit costs G dollars.
We add G dollars for each grapefuit and O dollars for each orange, so, for example, 12 grapefuit = G added 12 times = 12 *G = 12G
a.
6G = 10O
12G + 24O = 12
6 grapefuit = 6G = 10 oranges = 10O
b.
6G = 10O
12G + 24O = 12
We can solve this using substitution. First, we can solve the first equation for G. After that, we can plug that into the second to find O and go from there.
6G = 10O
divide both sides by 6 to remove the coefficient for G
G = (10/6)O
plug that into the second equation
12*(10/6)O + 24O = 12
20O + 24O = 12
44O = 12
divide both sides by 44 to solve for O
O=12/44 = 6/22
6G = 10O
6G = 60/22
divide both sides by 6 to solve for G
10/22 = G
c.
These solutions mean that an orange (O) costs 6/22 dollars and a grapefuit (G) costs 10/22, so 1O + 1G = 16/22 dollars ≈ $0.73. Note that O and G are kept as fractions because they are not exact dollar amounts, e.g. 0.27 repreating
Kenza is inviting 5 friends to a party each friend wants 4 cookies and each box has 10 cookies. How many boxes should Kenza get?
Answer:
solution
5x4=20
20-10=10
:kenza need 10 cookies
next method
solution
friends of kenza are =5
wanted cookies for per friends is=4
now
5x4
=20
again
20divide 10=2
then
: she need 2 box .
Answer:
Kenza should get 2 boxes.
Step-by-step explanation:
Total number of cookies needed
= 5×4
= 20
Number of boxes needed
= 20÷10
= 2
Suppose f(x) = x. Find the graph of f(x) - 5
Answer:
it's the graph that touches the y-axis in the point (0, -5), and the x-axis in the point (5, 0)
How to rationalize the denominator that is a radical.
Answer:
Option B is the correct answer, 3√2
Can someone please give me the (Answers) to this? ... please ...
Answer:
6:A
7;B
8;c
9;A
10:c
11;b
12:A
Answer:
6. Commander David Scott
7. They dropped at the same speed
8. Scale (I think)
9. B
10. True
11. Gravity (not sure)
12. C
17. Weaker
18. Ellipsoid (also not sure)
19. Towards the Earth’s center
20. I don’t know this
21. Center
22. B
Step-by-step explanation:
Not sure about some of them (like 19 because it feels like it can have more than one answer) but yeah the others are self-explanatory