Answer:
y = 2/3x + 3
Step-by-step explanation:
Use rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(3 - 1) / (0 + 3)
= 2/3
So, the slope is 2/3
Plug this and another point into y = mx + b to find b:
y = mx + b
3 = 2/3(0) + b
3 = b
Then, plug b and the slope into y = mx + b
y = 2/3x + 3 is the equation of the line
Graph the solution of this inequality
å (x+8) > 2 (2.0 + 10)
-5
-4
-3
-2
-1
0
1
2
3
4
5
Drag a point to the number line.
Show Example
The required solution to the given inequality is x > 16, as shown in the graph.
What is inequality?In mathematics, an inequality is a statement that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to). For example, "x + 3 < 10" is an inequality that states that the value of x plus 3 is less than 10.
Here,
As mentioned in the question,
To graph, the solution of the inequality (x+8) > 2 (2.0 + 10).
Simplifying the given inequality:
(x+8) > 2 (2.0 + 10)
x+ 8 > 2(12)
x > 24 - 8
x > 16
Thus, the required solution to the given inequality is x > 16.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ7
Members of the ninth grade class at Pine Ridge High School are organizing into service groups. What is
the minimum number of students who must participate for all students to be divided into groups of 4, 6, or 9 students
with no one left out?
Answer:
8
Step-by-step explanation:
There are several groups so there can't be just one. And the lowest number needed for a group is 4. So the minimum amount of people to participate would have to be 8.
what value of n makes this equation true?
Answer:
c
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
When converting radical expressions to rational exponents the exponent on the radicand (1) becomes the numerator of the rational exponent, and the index/root of the radical (4) becomes the denominator of the rational exponent. (1/4)
Which equation can you create with the given information? m = 6, b = -2
a
y=6x-2
y=6x+2
y=2x+6
y=-2x-6
Answer:
y = 6x - 2
Step-by-step explanation:
y = mx + b
y = 6x + (-2)
How do you do a 180 rotation around the point (2, 0)??
Answer: (x,y)→(−x,−y)
Step-by-step explanation: The rule for a rotation by 180° about the origin is (x,y)→(−x,−y)
A cone with volume 1350 m³ is dilated by a scale factor of 13. What is the volume of the resulting cone? Enter your answer in the box. M³.
The volume of the resulting cone is equal to 50 [tex]m^3[/tex].
Given the following data:
Volume of cone = 1350 [tex]m^3[/tex].Dilation factor = [tex]\frac{1}{3}[/tex].How to calculate the volume.Mathematically, the volume of a cone is given by this formula:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where:
h is the height.r is the radius.Applying the dilation factor, we have:
[tex]V =(\frac{1}{3} )^3 \times 1350\\\\V=0.037037037 \times 1350[/tex]
V = 50 [tex]m^3[/tex].
Read more on cone here: brainly.com/question/21367171
What is the x-coordinate of the midpoint of line segment AB with points A(62, 5) and B(-46, -13).
Answer: 5
Step-by-step explanation:
The x-coordinate of the midpoint of the segment is the average of the x-coordinates of the two endpoints.
Therefore, the x-coordinate of the midpoint of AB is the average of the x-coordinate of A and the x-coordinate of B.
We are given that the x-coordinate of A is 62 and of B is -42.
The average of 62 and -42 = (62-42)/2 = 10/2 = 5
Helpp pls I need an answer
Answer:
It would be 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
5x + 2 - 7x = -10
Combine the two x's:
-2x + 2 = -10
Subtract 2 from both sides:
-2x = -12
Divide both sides by -2:
x = 6
Which statement could be used in step 2 when proving x =
30?
Statements
1. mZORP - 80°; mZORN-(3x+10)°
Reasons
1. given
no
- N در دل
O ZORP and ZORN are a linear pair
O ZORP and ZORN are vertical angles
O 80 = 3x +10
O x = 30
(a) ∠ORP and ∠ORN are a linear pair .
Let us prove that option a , is the correct option by finding the value of x .
Angle ORP and angle ORN are a linear , which means their sum will be equal to 180° .
So :-
[tex]80 + 3x + 10 = 180[/tex]
[tex]3x + 80 + 10 = 180[/tex]
[tex]3x + 90 = 180[/tex]
[tex]3x = 180 - 90[/tex]
[tex]3x = 90[/tex]
[tex]x = \frac{90}{3} [/tex]
[tex]x = 30°[/tex]
As we were able to find put the value of x only after we cam to know that ∠ORP and ∠ORN are a linear pair , we say that option a is the correct statement .
Therefore , the correct answer is :-
(a) ∠ORP and ∠ORN are a linear pair .
The value of x is equal to 30°. Hence, proved.
What are angles at a point on a straight line?Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line. Angles on a straight line add to 180°.
Given that, m∠ORP=80° and m∠ORN=(3x+10)°.
Here, m∠ORP+m∠ORN=180° (Angles on straight line adds upto 180°)
80°+(3x+10)°=180°
90°+3x=180°
3x=90°
x=90°/3
x=30°
Hence, proved.
Learn more about the angles at a point on a straight line here:
https://brainly.com/question/28109229.
#SPJ7
helppppppp pleaseeeeeee
How do I solve 5/30 * 100
Answer:
16.67
Step-by-step explanation:
5/30 = 1/6
1/6 x 100 = 100/6
100/6 simplified is 16.67
Answer:
Use PEMDAS
Step-by-step explanation:
P-parenthesis ( )
E-Exponent
M-Multiplication *
D-Division /
A- Addition+
S-Subtraction -
so, first you would do 30 * 100= 3000
Then, you would do 5/3000=???
Bill wants to purchase some gloves and hats. The gloves cost $12 and a hat costs $8. Bill can spend no more than $56. Let g represent the number of gloves purchased and h represent the number of hats purchased. Which inequality represents this situation?
Step-by-step explanation:
Let g represent the number of gloves purchased and h represent the number of hats purchased.
The gloves cost $12 and a hat costs $8
We need to write an inequality that represents this situation.
Cost of gloves = $12g
Cost of hats = $8h
No more than $56 means [tex]\le 56[/tex].
We can write the inequality as follows :
[tex]12g+8h\le 56[/tex]
Hence, this is the required solution.
Karen is trying to decide which home phone company to use. PhoneHome was a monthly charge of
$45 and charges $0.01 per minute. CallMeMaybe has a monthly charge of $10 and charges $0.05 per
minute. Write an inequality to represent the number of minutes used in order for PhoneHome to
have the better deal.
Answer:
0.01x+45>0.05x+10
There are 900 students
at Acute Middle
School. The ratio of
boys to girls is 2 to 3.
What percent of the
students are girls?
I need work to be shown.
what is the area of this circle
Answer:
4,500
Step-by-step explanation:
QUESTION NUMBER 1 I NEED HELP WITH
Answer:
330
Step-by-step explanation:
heart = 110, and the problem is asking the value of 3 hearts. 3 x 110 = 330
Answer:
d: 330
Step-by-step explanation:
spade = heart*2
spade-heart = 110
substitute spade into spade:
2*heart-heart = 110
heart = 110
So,
heart = 110
and,
spade = 2*heart = 2*110 = 220
so spade+heart = 220 + 110 = 330
also, please mark me as brainliest.
Please solve this question.
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
A + C = π - B
B + C = π - A
Cofunction Identities: sin [(π/2) - A] = cos A
cos [(π/2) - A] = sin A
Sum to Product Identity: sin A - sin B = 2 cos [(A + B)/2] · sin [(A - B)/2]
Pythagorean Identity: cos²A + sin²A = 1 → cos²A = 1 - sin²A
Even/Odd Identity: cos (-A) = -cos(A)
Double Angle Identity: cos (2A) = 2 cos²A - 1
Proof LHS → RHS:
LHS: cos [(B + C) - A] - cos [(A + C) - B] + cos [(A + B) + C]
Given: cos [(π - A) - A] - cos [(π - B) - B] + cos [(π - C) - C]
= cos (π -2A) - cos (π -2B) + cos (π -2C)
Cofunction: cos (-2A) - cos (-2B) + cos (-2C)
Even/Odd: -cos (2A) + cos (2B) - cos (2C)
Double Angle: -(2cos²A - 1) + cos (2B) - cos (2C)
= 1 - 2cos²A + cos (2B) - cos (2C)
Sum to Product: 1 - 2cos²A - 2sin(B+C) · sin (B-C)
Given: 1 - 2cos²A - 2sin (π - A) · sin (B - C)
Cofunction: 1 - 2cos²A - 2sin A · sin (B - C)
Pythagorean: 1 - 2(1 - sin²A) - 2sin A · sin (B - C)
= 1 - 2 + 2sin²A - 2sin A · sin (B - C)
= -1 + 2sin²A - 2sin A · sin (B - C)
Factor: -1 + 2sin A (sin A - sin (B - C))
Given: -1 + 2sin A [sin (π - (B + C)) - sin (B - C)]
Cofunction: -1 + 2sin A [sin (B + C) - sin (B - C)]
Sum to Product: -1 + 2sin A [2 cos B · sin C]
= -1 + 4sin A · cos B · sin C
LHS = RHS [tex]\checkmark[/tex]
If PQRS is a parallelogram and PQ=9x+1 and RS=13x-11, solve for x.
Applying the definition of a parallelogram, the value of x in the length of the sides of the given parallelogram is: x = 3.
What is a Parallelogram?A parallelogram is a quadrilateral that has two pairs of opposite sides that are congruent to each other.
Given the following:
PQ = 9x + 1RS = 13x - 11Find x by creating an equation:
PQ = RS (congruent sides)
Substitute
9x + 1 = 13x - 11
Combine like terms
9x - 13x = -1 - 11
-4x = - 12
x = 3
Therefore, applying the definition of a parallelogram, the value of x in the length of the sides of the given parallelogram is: x = 3.
Learn more about parallelogram on:
https://brainly.com/question/4314341
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $7.50 and each adult ticket sells for $11. The drama club must make no less than $990 from ticket sales to cover the show's costs. Write an inequality that could represent the possible values for the number of student tickets sold, ss, and the number of adult tickets sold, aa, that would satisfy the constraint.
Answer: ss*$7.50 + aa*$11 ≥ $990.
Step-by-step explanation:
We have two variables:
aa = # of adult tickets sold.
ss = # of student tickets sold.
The total profit is:
P = ss*$7.50 + aa*$11
And we want P ≥ $990.
Then we can write the inequality:
ss*$7.50 + aa*$11 ≥ $990.
Now, we have only one equation and two variables, so there are a lot of possible solutions for this system.
much appriciated if helping
4 quarters are equal in value to 10 dimes.
1. How many dimes equal the value of 6 quarters?
2. How many dimes equal the value of 14 quarters?
3. What value belongs next to the 1 in the table?
What does it mean in this context?
Answer:
Step-by-step explanation:
Draw a number line and show the following numbers.
one-digit primes
-----------------------------------------------------
answer: 2, 3, 5, 7
Please do your thing smart people.
HELP ME PLEASE
Answer:
C. Natural Numbers
Step-by-step explanation:
Before we determine what groups [tex]\sqrt{100}[/tex] fits into, we must simplify it. We get the number 10, which is much easier to categorize. Out of the four options, the natural numbers are the smallest group, containing only the numbers we use to count (i.e. 1, 2, 3, 4 ...). We know that 10 fits into this category because 10 is a non-zero whole number. Since the natural numbers contain 10 and are the smallest subset, the answer is C.
As a note: 10 will also fit into the whole numbers and rational numbers since all natural numbers are parts of these two groups as well. These groups contain more numbers, however, making them larger than the natural number set so we can eliminate them. 10 is also not an irrational number since we can accurately define it with a fraction.
Find the Area of the Trapezoid
Area:-
1/2(Sum of parallel sides) (Height)1/2(2+5)(3)1/2(21)10.5units°2Answer:
[tex]A=\boxed{10.5}\; \;\rm sq. \; un.[/tex]
Step-by-step explanation:
Area of a Trapezoid
[tex]\boxed{A=\dfrac{1}{2}(a+b)h}[/tex]
where:
a and b are the bases of the trapezoid (the parallel sides).h is the height of the trapezoid (perpendicular to the bases).From inspection of the given diagram:
a = SK = 2 unitsb = OC = 5 unitsh = OS = 3 unitsSubstitute the found values into the formula and solve for A:
[tex]\implies A=\dfrac{1}{2}(2+5)(3)[/tex]
[tex]\implies A=\dfrac{1}{2}(7)(3)[/tex]
[tex]\implies A=\dfrac{7}{2}(3)[/tex]
[tex]\implies A=\dfrac{21}{2}[/tex]
[tex]\implies A=10.5\; \;\rm sq. \; un.[/tex]
Which table represents a linear function? ill give you brainliest if you’re right
if you bought 845.67 mL of dish soap and have already used 242.36 mL, how much do u have left
Answer:
I believe you just subtract 845.67ml - 243.36 which is equal to 602.31
Step-by-step explanation:
Which set of ordered pairs represents a function?
a
{(1, 8), (8, 1), (1, 5), (5, 1)}
b
{(2, 1), (3, 1) (4, 3), (5, 3)}
c
{(5, 1), (3, 8), (3, 7), (7, 3)}
d
{(5, 1), (5, 6), (1, 3), (9, 7)}
Answer:
b. {(2, 1), (3, 1) (4, 3), (5, 3)}
If f(x) = 3^x and g(x) = 2x + 5, at which value of x is f(x) < g(x)?
A. -1
B. 2
C. -3
D. -4
Answer:
A) x = -1
Step-by-step explanation:
[tex]f(-1)=3^{-1}=\dfrac13\\\\g(-1)=2(-1)+5=3\\\\\implies f(x) < g(x)[/tex]
[tex]f(2)=3^{2}=9\\\\g(2)=2(2)+5=9\\\\\implies f(x)=g(x)[/tex]
[tex]f(-3)=3^{-3}=\dfrac{1}{27}\\\\g(-3)=2(-3)+5=-1\\\\\implies f(x) > g(x)[/tex]
[tex]f(-4)=3^{-4}=\dfrac{1}{81}\\\\g(-4)=2(-4)+5=-3\\\\\implies f(x) > g(x)[/tex]
HELP HAVING BAD DAY Find the ratio a:b if it is given that:
3a=8b
Answer:
..
Step-by-step explanation:
Answer:
3;8
Step-by-step explanation:
what is -6.5 x (-.4)
Answer:
2.6x
Step-by-step explanation:
Answer:
2.6
Step-by-step explanation: