Answer: Choice B. [tex]y \le -\frac{1}{3}x+1[/tex]
=====================================================
Explanation:
We need to know the equation of the boundary line. This boundary goes through (0,1) and (3,0). Find the slope of the line through these points
m = (y2-y1)/(x2-x1)
m = (0-1)/(3-0)
m = -1/3, negative slope means the line goes downhill as we move from left to right.
The y intercept is b = 1 as this is where the boundary crosses through the y axis
y = mx+b turns into y = (-1/3)x+1 after replacing m and b with m = -1/3 and b = 1 respectively.
The equation of the boundary line is y = (-1/3)x+1
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The shading is below the boundary, so we'll have a "less than" sign involved here. More specifically, we'll have a "less than or equal to" sign because the boundary is a solid line rather than a dashed one. A solid line tells us "points on the boundary are part of the solution set". The inclusion is because of the "or equal to" portion.
Change the equal sign to a less than or equal to sign to get the final answer of [tex]y \le -\frac{1}{3}x+1[/tex] which is choice B.
Which of these are a trinomial?
Answer:
D
Step-by-step explanation:
the number of bacteria in a sample can be modeled by the equation yy=75(.8)^xx where y is the number of bacteria and is x the number of days elapsed. what is the rate of decay?
Answer:
20 % decay
Step-by-step explanation:
Exponential equations are in the form
y = a * b^x
a is the initial value
b is the growth or decay
b>1 is growth b-1 rate of growth
b <1 decay 1-b rate of decay
1-.8 = .2
Change to decimal form
20 % decay
Which of the following steps would you preform to the system of equations below so that the equations have opposite y-coefficients? 4x+2y=4 12x-y=26
Answer:
FIRST. Multiply both sides of the bottom equation by 2
Step-by-step explanation:
12x - y = 26
×2 ×2
24x - 2y = 52
-2 is opposite to 2
Find the number of vertices on this
solid.
Answer:
12
Step-by-step explanation:
A vertex is the common endpoint between two line segments, aka the points of a shape. If we count the vertices, we find 12 of them.
Answer:
There are 12 vertices on this solid
Step-by-step explanation:
HELP If you apply these changes to the linear parent function , f(x)-=x what is the equation of the new function vertically compress by a factor of 5 shift up 7 units
Answer:
transformed function, g (x) = (1/5)(-x)+7
Step-by-step explanation:
Assuming
f (x) = -x (and not f(x)-=x)
To compress/expand, we apply
g (x) = a*f(bx-k)+h
where
a=vertical stretch factor, a= 1/5 for compression (to stretch 5 times, a=5)
b=horizontal compression factor (=1 i this case)
h=vertical translation (=7)
k=horizontal translation (=0)
So the transformed function,
g (x) = (1/5)(-x)+7
A block measure 22cm by 11cm by 7cm. How many of these blocks will be needed to build a wall 5 1/2m long, 22cm thick and 3 1/2m high.
Answer:
The number of blocks that will be needed to build the wall is 2500
Step-by-step explanation:
The number of blocks that will be needed to build the wall is;
[tex]n = \frac{volume of wall}{volume of block} \\volume = l *b*h\\[/tex]
given the dimensions of the block and wall as;
block = 22cm by 11cm by 7cm
wall = 5 1/2m long, 22cm thick and 3 1/2m high. = 550cm by 22cm by 350cm
substituting into the equation, we have;
[tex]n = \frac{volume of wall}{volume of block} \\volume = l *b*h\\\\n = \frac{550*22*350}{22*11*7} \\n = 2500[/tex]
The number of blocks that will be needed to build the wall is 2500
Work out the size of angle x
Answer:
hope its helpful........
Please answer ASAP (No explanation needed!) <3
Answer:
Step-by-step explanation:
813143Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
Well, Your best choice is y=1/4x+ 1
Sorry, I don't have a explanation. Hope This Helps!!~
If you took $1,000 and put it into an interest-bearing savings account compounding quarterly at 3%, how much would your fund be worth at the end of one year?
Answer:
$1007.50
Step-by-step explanation:
Compounded Interest Rate Formula: A = P(1 + r/n)^t
We are given p, r, n, and t. Simply plug them into the formula:
A = 1000(1 + 0.03/4)¹
A = 1000(1.0075)¹
A = 1000(1.0075)
A = 1007.50
given m∠RPS=3x-38° m∠QPR=7x-95° find m ∠QPR
Answer:
m∠QPR = 31°
Step-by-step explanation:
So, let's keep in mind that QPS = 47 Degrees
Given that, we find that 3x - 38 + 7x - 95 = 47
from this, 10x - 133 = 47
then => 10x = 180
x = 18
So now we plug it in
--> 3(18) - 38 = RPS
54 - 38 = 16
RPS = 16 Degrees
--> 7(18) - 95 = QPR
126 - 95 = QPR
QPR = 31 Degrees
and Thus, m angle QPR is equal to 31 Degrees
Checks:
16 + 31 = 47
Total = 47
So it is correct
Hope this helps!
The measure of angle QPR is 31°.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Given that, m∠QPS=47°, m∠RPS=3x-38° and m∠QPR=7x-95°.
Here, m∠QPS=m∠RPS+m∠QPR
3x-38°+7x-95°=47°
10x-133°=47°
10x=180°
x=18°
So, m∠QPR=7×18°-95°
m∠QPR=126°-95°
m∠QPR=31°
Therefore, the measure of angle QPR is 31°.
To learn more about an angle visit:
https://brainly.com/question/9811089.
#SPJ2
A passenger ship and an oil tanker left port sometime in the morning; the former headed north, and the latter headed east. At noon the passenger ship was 40 mi from port and moving at 30 mph, while the oil tanker was 30 mi from port and moving at 20 mph. How fast was the distance between the two ships changing at that time
Answer:
distance between the two ships changing at that time is 36 mph
Step-by-step explanation:
given data
ship = 40 mi from port
ship moving = 30 mph
oil tanker = 30 mi from port
oil tanker moving = 20 mph
solution
we will apply here pythagoras theorem so we get here
x² + y² = L² .....................1
here x is distance of ship from port
and y is distance of oil tanker from port
and L is distance between oil tanker and ship
so put here value and we get
40² + 30² = L²
L = 50 mile
now we differentiate equation1 with respect to time t
[tex]2x\ \frac{dx}{dt} + 2y\ \frac{dy}{dt} = 2L\ \frac{dL}{dt}[/tex] ...............2
put here value and we get
40 × 30 + 30 × 20 = 50 × [tex]\frac{dL}{dt}[/tex]
[tex]\frac{dL}{dt}[/tex] = 36 mph
so distance between the two ships changing at that time is 36 mph
please help i will give out brainliest
answer on image attached. pls give brainliest :)
which statement about 12 is not true it is a square number or it is the least common multiple of 3 and 4 or it is a factor of 60 or it is an even composite number
Answer:
it's a square number
Step-by-step explanation:
Division by 0 is defined
Answer:
This is false because any number divided by 0 is undefined.
the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1
4(1 - 6)2
25 + 1
(41 – 6)
2(1 + 1)
413 - 6
2(1 + 1)
(41 - 6)
21 + 1
Answer:
[tex]\dfrac{(4x-6)^3}{2}(x+1)[/tex]
Step-by-step explanation:
Maybe you want your verbiage written as a mathematical expression.
"the difference of 4 times x and 6" is (4x -6). "the sum of x and 1" is (x+1).
No other grouping is indicated, so we have ...
[tex]\boxed{\dfrac{(4x-6)^3}{2}(x+1)}[/tex]
Can anyone please explain
what a function mean? (in maths:graph,etc) i haven't learnt this but it might be useful for future references
Answer:
For example, the position of a planet is a function of time. ... A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.
Step-by-step explanation:
Please help urgently
Answer:
203.5Solution,
Onions less than 60 grams = 2 --> Pickling
Onions greater than 120 grams = 5 + 3 = 8 --> Market
Onions between 60 and 120 = 13---> Processing
Total frequency = 2 + 8 + 13 = 23
Now,
[tex]x = \frac{13}{23} \times 360[/tex]
[tex]x = 203.48[/tex]
[tex]x = 203.5[/tex]
Hope this helps ..
Good luck on your assignment...
Answer:
x=190°
Step-by-step explanation:
find the frequency of the given numbers dividing by their numbers
onions less than 60g=(2+2/2)=²/9
onions greater than 120g=(5+3/2)= 4 (4+3/2). =3.5/9
To convert into degrees so that they can fit in the bar graph multiply the frequencies by 360 that is:
picking=²/9×360=80°
market=3.5/9×360=90°
x=360°-90°-80°
x=190°
confirmation
pie chart° add up to 360°
picking=80°
market=90°
x=190°
190°+80°+90°=360°
PLLLLLLLLLLEEEEEEEEAAAAAAAASSSSSSSSSSEEEEEEE HELP ME Tracy has forgotten how to complete the square. (A) Give her a detailed description of the process so she can understand how to do it. (B) and provide an example of each.
Answer:
in an equation ax^2+bx+c to complete the square it turns to
a(x+d)^2+e where d=b/2a and e=c-b^2/4a
example:x^2+4x+1=0
complete the square:
d=b/2a=4/2(1)=2
e=c-b^2/4a=1-4^2/4(1)
e=1-16/4=-3
a(x+d)^2+e
1(x+2)^2-3=0
check if it is rigt: (x+2)^2=x^2+4x+4
x^2+4x+4-3=
x^2+4x+1 it is correct
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.
Answer:
The answer is below
Step-by-step explanation:
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.
Answer:
Let the amount of dough needed for a small pizza be S, the amount of dough needed for a medium pizza be M and the dough needed for a large pizza be L.
The amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza, therefore:
M = (3/2)S
The amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Therefore
L = (5/2)S
the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. That is:
L = M + S
(5/2)S = (3/2)S + S
5S = 5S
The equation cannot be solved.
But if he wants the amount of dough for a large pizza to be 5/2 kg.
L = M + S
(5/2) = (3/2)S + S
S = 1 kg
cydus
How many solutions doos the equation 4+4x - 3=4x +5 have?
Answer:
No solutions
Step-by-step explanation:
4 + 4x - 3 = 4x + 5
4x + 1 = 4x + 5
Add -4x and -1 on both sides.
4x - 4x = 5 - 1
0 = 4
There are no solutions.
i need an answer ASAP! Fill in the table. To obtain each planets distance from the sun and orbital period.
Answer:
Mercury: 0.39 and 0.242
Venus: 0.72 and 0.616
Earth: 1 and 1
Mars: 1.52 and 1.88
Jupiter: 5.20 and N/A
Saturn: N/A and 29.5
Uranus: 19.18 and 84.0
Neptune: 30.06 and 165
Step-by-step explanation:
edge2021
Tom brown decided to purchase a new bike on an installment loan.The bike was $300.00He agreed to pay $30 a month for 12 months . What is the finance charge in dollars
Answer:
The answer is $60. $30 × 12 = $360 – $300 = $60.
Step-by-step explanation:
Help!!!! please!!!!!
Answer:
40cm²
Step-by-step explanation:
The lateral area is the sum of the faces's area
let La be the lateral area
La= 4*5*2= 20*2= 40 cm²
If a student is selected at random, find the probability the student is a freshman. Round to the nearest whole percent.
Answer:
Out of the 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30 total students, 4 + 3 = 7 are freshmen so the answer is 7 / 30 * 100 = 23%.
Answer:
23%
Step-by-step explanation:
4 + 6 + 2 + 2 + 3 + 4 + 6 + 3
There are total of 30 students.
4 + 3
7 students are freshman.
Find the percentage.
7/30 × 100
700/30 = 23.333333...
Round to nearest whole percent.
⇒ 23%
Which one of the following statements is FALSE about symmetry? Select one: a. An object and its image in a mirror are symmetric. b. The diagonal of a rectangle is a line of symmetry. c. A square has four lines of symmetry.
Answer:
B. The diagonal of a rectangle is a line of symmetry.
Step-by-step explanation:
because the sides are not the same length. if you fold this rectangle diagonally so that Corner A meets Corner D, they will not match.
Thank Me later!
3) What is the difference? 7,840 - 4,971*
0 2,769
0 2,869
0 2,879
0 2,969
Answer:
2869
Step-by-step explanation:
7,840 - 4,971
Subtract.
= 2869
Answer:
0 2,869
hopefully this helped :3
A line containing the points (9, 1) and (5, 5) intersects the x -axis at what point?
Answer:
It intersects the x-axis at x = 10
Step-by-step explanation:
Step 1: Find slope m
m = (5 - 1)/(5 - 9)
m = 4/-4
m = -1
y = -x + b
Step 2: Find b
5 = -5 + b
b = 10
Step 3: Rewrite equation
y = -x + 10
Step 4: Find x when y = 0
0 = -x + 10
-10 = -x
x = 10
So the graph crosses the x-axis at 10.
Which of these tables represents a function
Answer:
Z.
Step-by-step explanation:
A function must pass the Vertical Line Test. No 2 y-values can have the same x-values. Since the first 3 graphs fail to pass the vertical line test, our answer is Z.
I need serious help. I will give a BRAINLIEST ANSWER to the person who helps me! It is urgent!!!!