Answers
Answer:
Rearrange both inequalities to make y the subject.
Momentarily swap the inequality sign for an equals sign in order to calculate two points for each line.
Inequality 1
[tex]2y \leq x-10[/tex]
[tex]\implies y < \dfrac{1}{2}x-5[/tex]
[tex]x=0\implies y=\dfrac{1}{2}(0)-5 \implies (0,-5)[/tex]
[tex]x=4 \implies y=\dfrac{1}{2}(4)-5 \implies (4,-3)[/tex]
Inequality 2
[tex]x+y\leq -3[/tex]
[tex]\implies y\leq -x-3[/tex]
[tex]x=0\implies y=-(0)-3\implies (0,-3)[/tex]
[tex]x=4\implies y=-(4)-3\implies (4,-7)[/tex]
When graphing inequalities
< or > : dashed line
≤ or ≥ : solid line
< or ≤ : shade below the line
> or ≥ : shade above the line
Therefore,
Inequality 1: plot points (0, -5) and (4, -3) and draw a solid line through them.
Inequality 2: plot points (0, -3) and (4, -7) and draw a solid line through them.
Shade the area below both lines from where the lines intersect.
Answer:
See below ~
Step-by-step explanation:
Inequality 1 :
Convert into y = mx + b form2y ≤ x - 10y ≤ x/2 - 5Taking 2 points :
0 ≤ x/2 - 5x/2 ≥ 5x ≥ 10⇒ Point 1 = (10, 0)y ≤ 0 - 5y ≤ -5⇒ Point 2 = (0, -5)Inequality 2 :
x + y ≤ -3y ≤ -x - 3Taking 2 points :
0 ≤ -x - 3x ≤ -3Point 1 = (-3, 0)y ≤ 0 - 3y ≤ - 3Point 2 = (0, -3)Plot the two 2 lines using the 2 points and shade as per the sign of the inequality. The result will be this graph :
Related Questions
What is the expansion of the series sum from n equals 1 to 4 of 2 to the n plus 1 power question mark
2 + 4 + 6 + 8
2 + 4 + 8 + 16
4 + 6 + 8 + 10
4 + 8 + 16 + 32
Answers
The expansion of the series is 2 + 6 + 8 + 10
How to determine the expansion?The summation expression is given as:
[tex]\sum\limits^4_{n=1} 2(n + 1)[/tex]
When n = 1, we have:
2(n + 1) = 2(1 + 1) = 4
When n = 2, we have:
2(n + 1) = 2(2 + 1) = 6
When n = 3, we have:
2(n + 1) = 2(3 + 1) = 8
When n = 4, we have:
2(n + 1) = 2(4 + 1) = 10
So, we have:
[tex]\sum\limits^4_{n=1} 2(n + 1) = 2 + 6 + 8 + 10[/tex]
Hence, the expansion of the series is 2 + 6 + 8 + 10
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Answer:
The correct option is actually d. 4 + 8 + 16 + 32
Step-by-step explanation:
Find the Surface Area:
A) 138 m^2
B) 304 m^2
C) 252 m^2
D) 75 m^2
E) 151 m^2
Answers
Answer:
151 m^2
Step-by-step explanation:
Given,
Height ( h ) = 10 m
Radius ( r ) = 2 m
To find : Surface Area
Here, the shape is cylinder.
Formula : -
Surface area of cylinder = 2πr ( r + h )
Note : -
The value of π is 3.14
Surface area of cylinder
= 2πr ( r + h )
= 2 x 3.14 x 2 ( 2 + 10 )
= 12.56 ( 12 )
= 12.56 x 12
= 150.72
= 151 m^2 ( approximately )
please help i dont understand how to find c i know about theorems but
Answers
Ok so firstly, you need to remember that when a radius is touching a tangent, the angle is always equal to 90°. So x + 57° = 90°. That means your angle is 33°. You have drawn a right angle which is correct so the left triangle's angle is 90° - 33° = 57°. Now because both sides of the triangle is radius, that means c and 57° are equal. That means c = 57°.
Answer:
c = 57 degrees.
Step-by-step explanation:
This is the Alternate Segment theorem:
The angle between a chord of a circle and a tangent to the circle = the angle subtended by the chord in the alternate segment.
So c = 57 degrees.
Write inequalities to represent the situations below.
1.
At the airport, each piece of luggage to be checked in must not weigh more than 40 pounds.
Use w to represent the weight (in ponds) of a piece of luggage that can be checked in.
2. The distance to the nearest exit door is at most 200 ft.
Use d to represent the distance (in feet) to the nearest exit door
Answers
How do you add negative numbers with positives
Answers
when we add negative number to the positive number we just subtract the smaller number from the larger number and put the sign or the larger number after words
examples:- First
[tex]5 + ( - 2) = 5 - 2 = 3[/tex]
like here we put + in front of 3 as larger number 5 is positive
second[tex] - 7 + 5 = - 2[/tex]
we put negative because 7 is larger then 5 and 7 is negative
Angle Side Relationship 1/5
Will mark brainlist to whoever answers first
Answers
Answer:
m<A > m<B > m<C
Step-by-step explanation:
In triangles, the measure of angles is proportional with the side length's they see,
The angle with the biggest the biggest measure sees the biggest side length
in triangle ABC the side lengths are given as
BC = 14, CA = 13 and AB = 5
from this, we can conclude:
m<A > m<B > m<C
A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I. What is P(not A)? 89 23 13 19
Answers
Answer:
P(not A) = 8/9
Step-by-step explanation:
To write a simple probability, write a fraction. The bottom is all the possibilities, here there are 9. So put a 9 on the bottom. Then on top write how many ways the event can happen. There are 8 ways you can land on "Not A" (that is: B, C, D, E, F, G, H, I) So 8 goes on top. Simplify if possible. 8/9 cannot be simplified.
P(not A) = 8/9
As per the probability of an event, the value of P(not A) is 8/9.
What is the probability of an event?The probability of an event is the chance of happening that particular event.
Given, total number of events in the sample space = 9.
Number of favorable events in that sample space is = 1.
Therefore, the probability P(A) = 1/9.
Now, P(not A)
= 1 - P(A)
= 1 - 1/9
= 8/9
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The expression below represents the perimeter, in feet, of Manual’s garden. 15 + 2x + 7 + 15 + 2x + 7 Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manual’s garden. The area, measured in square feet, of Manual’s garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7. Describe the error in Manual’s expression. Also, find the difference, in square feet, between the actual area of Manual’s garden and the area found using his expression as a part of your explanation. Manual’s friend Sasha designs a square garden. Each side measures 3x + 5 in length. The perimeter of Sasha’s garden is how much larger than the perimeter of Manual’s garden?
Answers
The perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden
The equivalent expression using exactly two termsThe perimeter is given as:
P = 15 + 2x + 7 + 15 + 2x + 7
Collect like terms
P = 2x + 2x + 7 + 15 + 15 + 7
Evaluate the like terms
P = 4x + 44
The area of the gardenThe area of the garden is given as:
A = 15(2x + 7).
Expand
A = 30x + 105
Manual's expression of the area is 30x + 7
Hence, Manuel's error is that he did not multiply 15 by 7 when expanding the bracket and the actual area is 30x + 105
The difference between the areas of Manual’s garden and Sasha's designThe side length of Sasha's design is:
L = 3x + 5 in
So, the area is:
A = (3x + 5)^2
Expand
A = 9x^2 + 16x + 25
The difference between both areas is:
Difference = 9x^2 + 16x - 30x + 25 - 105
Evaluate
Difference = 9x^2 - 14x - 80
Hence, the difference between the areas of Manual’s garden and Sasha's design is 9x^2 - 14x - 80
The perimeter of Sasha's gardenThis is calculated using:
P = 4L
So, we have:
P = 12x + 20
The difference between both perimeter is:
Difference = 12x - 4x + 20 - 44
Evaluate
Difference = 8x - 24
Hence, the perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden
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What are the integer solutions to the inequality below? 2 x < 3 x + 4 ≤ x + 6
Answers
Answer:
the answer is above pleaseplease solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
Answers
==========================================================
Explanation:
Check out the diagram below to see what's going on.
a = 8.2 feetb = unknownc = 9 feetUse the pythagorean theorem to find b
[tex]a^2 + b^2 = c^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{9^2 - (8.2)^2}\\\\b = \sqrt{81 - 67.24}\\\\b = \sqrt{13.76}\\\\b \approx 3.709 447\\\\b \approx 3.7\\\\[/tex]
The length is roughly 3.7 feet.
The angle of elevation from a soccer ball on the ground to the top of the * 1 poi
goal is 34°. If the goal is 8 feet tall, what is the distance from the ball to
the goal?
Answers
Answer:
11.86
Step-by-step explanation:
The triangular prism below has a base area of 31 units^2
and a volume of 310 units^3
Find its height.
Answers
The height of the given triangular prism.
Solution:[tex]h = \frac{V}{ A_{B}}[/tex]
[tex]h = \frac{310}{31} [/tex]
[tex]\large\boxed{\sf{h=10 \: units}}[/tex]
Therefore, the height of the given triangular prism is 10 units.
h= 310/31
h= 10 units
hope this helps
Suppose that $f(x)$ and $g(x)$ are functions on $\mathbb{r}$ such that the range of $f$ is $[-5,3]$, and the range of $g$ is $[-2,1]$. the range of $f(x) \cdot g(x)$ is $[a,b]$. what is the largest possible value of $b$
Answers
The largest possible value of b is 10, since for some x = x₀ it could be the case that f(x₀) = -5 and g(x₀) = -2; then f(x₀) g(x₀) = -5 × -2 = 10.
Kevin is making 8 centerpieces for a party. In each centerpiece, of an ounce of flower food is used. How many ounces of flower food are used in the 8 centerpieces?
Answers
The weather forecast says there is a `75\%` chance it will rain
Answers
I will mark brainlist to whoever answers first
Answers
Answer:
∠V = 32°
Step-by-step explanation:
VW = UV
⇒ Isosceles triangle. So, the angles opposite sides are equal.
∠W = ∠U
∴ ∠W = ∠U = 74°
Angle sum propertySum of all angles of triangle = 180
74 + 74 + ∠V = 180
148 + ∠V = 180
∠V = 180 - 148
∠V = 32°
How far does the unicycle move if the wheel turns once?
Pierre enters a 100m unicycle race. How many times must the wheel rotate completely in order for Pierre to travel 100m?
Answers
The unicycle moves a distance of 251.20cm if the wheel turn once and the wheel must rotate 32 times to cover a distance of 100m
Circumference of a circleThe formula for calculating the circumference of a circle is given as:
C = 2pi r
r is the radius of the circle
a) r = 80/2 = 40cm
C = 2(3.14)(40)
C = 251.20 cm
Hence the unicycle moves a distance of 251.20cm if the wheel turn once
b) Number of revolution * 2pi r = distance covered
n * 2(3.14)(50) = 10000
314n = 10000
n = 10000/314
n =32
Hence the wheel must rotate 32 times to cover a distance of 100m
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Find the volume of a cone with a base diameter of 9 in and a height of 7 in.
Answers
Step-by-step explanation:
Formula:
[tex]v = \pi \:r {}^{2} \:h[/tex]
radius is 4.5 because 9÷2=4.5
so it would be
[tex]v = \pi \times \:4.5^{2} \times 7[/tex]
volume = 445.3 units³
How do I write 780,000 in scientific notation.
I’m having finals and I need lots of help pls explain how u got it answer
Answers
the scientific notation is just another mumble jumble way to write the same thing without so many repetitive zeros, so hmmm 780000 has 4 zeros, so what we do is we can say
78 and 4 zeros following it
or we can say
78 * 10⁴, if we get that product, is 780000
in scientific notation, we only leave one digit to the left of the decimal point
so the same thing above can be written as
78 * 10000, can be written as 78.0 * 10000
or as
7.8 * 100000
or as
0.78 * 1000000
check their product
7.8 * 100000, is really just 780000
because we moved the decimal to the left one more slot, it
became 7.8 * 100000
or in
scientific notation, 7.8 ⨉ 10⁵Answer:
780,000 [tex]=7.8 * 10^5[/tex]
Step-by-step explanation:
Don't worry! I hope you do great on your finals, goodluck<3.
What is scientific notation?It's a way of expressing numbers that are either too large or too small.The formula for scientific notation is written as shown below:[tex]a * 10^{b}[/tex]
Variable A represents a number thats absolute value has to be greater than or equal to 1 and less than 10. This is represented below
1 ≤ | a | < 10
Therefore we know that 780,000 will be 7.8, because it is greater than 1 and less than 10 as well can still represent our original number.
[tex]7.8 * 10^b[/tex]
Assuming you know how powers work, if not I'll go over them very quickly.
What is an exponent?An exponent(also called a power or indices) is a tells you how many time you are going to use the number in multiplying a number by itself.For example 8² = 8 * 8, 8³ = 8 * 8 * 8.
To find what the exponent will be is pretty simple, you take 780,000 and identify what place our number is in.what I mean by this is if its in, tenths, hundreths, thousands, 10 thousands..
It's pretty obvious that our number is in the 100 thousands place.
Now if you know you're powers pretty well, this will be easy, although let me try to walk you through it if not.
remember the equation:
[tex]7.8 * 10^b[/tex]
We are trying to find b.
10 to what power is equal to 100,000
[tex]10^{1} = 10, 10^{2} = 100, 10^3 = 100, 10^{3} = 1,000, 10^4 = 10,000, 10^5 = 100,000[/tex]
How I like to remember what a power equals is counting the 0's :)
How we know if our answer is correct is plugging it into our equation and solve:
[tex]7.8 * 10^5[/tex]
We know that 10 to the power of 5 equals 100,000.
[tex]7.8 * 100,000[/tex]
and using a calculator, or mental math, or doing it the old fashion way, we know that 7.8 * 100,000 is equal to 780,000
Carmen will spend more than $35 on gifts. So far, she has spent $22. What are the possible additional amounts she will spend?
Answers
Answer:
Anything more than $13
Step-by-step explanation:
A__ is the amount you pay for the purchase of a house that decreases the amount of the loan.
O A closing payment
B. closing cost
O C. origination payment
D. down payment
Answers
Answer:
Down payment
Step-by-step explanation:
Down payment is the amount you pay for the purchase of a house that decreases the amount of the loan. It decreases the amount of interest paid over the lifetime of the loan
This composite figure is made up of three simpler shapes. What is the area of
the figure? PLEASEE I NEED HELP
Answers
Answer:
D.94 square centimeters
Step-by-step explanation:
(10×4) + (8×6) + (1/2×6×2)
= 94 cm^2
Answer:
D. 94 square centimeters
Step-by-step explanation:
It mentions the composite figure is made up of three simpler shapes.
Area (figure) = Area (parallelogram) + Area (rectangle) + Area (triangle)
10 x 4 + 8 x 6 + 1/2 x 6 x 240 + 48 + 688 + 694 square centimetersA total of 337 tickets were sold for the school play. They were either adult tickets or student tickets. There were 73 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answers
The total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the number of adult tickets is x
So the number of student tickets is (x-73)
x + (x-73) = 337
2x—73 = 337
2x = 410
x = 205 tickets
Thus, the total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.
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I need help. Please and thank you
Answers
Answer:
3/4
Step-by-step explanation:
Subtract 3 2/4 from 2 3/4
- Multiply 3 and 4 to get 12.
- Add 12 and 2 to get 14.
- Reduce the fraction 14/4 to lowest terms by extracting and canceling out 2.
- Multiply 2 and 4 to get 8.
- Add 8 and 3 to get 11.
- Least common multiple of 2 and 4 is 4. Convert 7/2 and 11/4 to fractions with denominator of 4
- Since 14/4 and 11/4 have the same denominators, subtract both by subtracting their numerators
- Subtract 11 from 14 to get 3
Round 6254 correct to 1 signature figure
Answers
Answer:
6000
Step-by-step explanation:
6.25×10 3x 6.3×10 3x6×10 3×100 members in a band, 12 members play the flute. What percentage of the band plays the flute?
Answers
It's a seven grade social studies I know this is math but people aren't active in social studies All I'm trying to ask is how did the issue of slavery cause the Civil War in the election of 1860 the presidential election of 1860
Answers
Answer:
The election of 1860 established the Democratic and Republican parties as the majority parties in the United States. It also confirmed deep tensions surrounding slavery and states’ rights between the North and South. Before Lincoln’s inauguration, eleven Southern states seceded from the Union and just after his swearing-in, the Confederate Army fired on Fort Sumter, starting the Civil War.
A spinner with possible outcomes {1, 2, 3, 4, 5, 6} is spun. Each outcome is equally likely. The game costs $5 to play. The number of dollars you win is the square of the number that comes up on the spinner. Ex: If the spinner comes up 3, you win $9. Let N be a random variable that corresponds to your net winnings in dollars. What is the expected value of N
Answers
The expected value of N will be given as:- Money = N² - 5.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
It is given in the question that:-
A spinner with possible outcomes {1, 2, 3, 4, 5, 6} is spunThe game costs $5 to play.The number of dollars you win is the square of the number that comes up on the spinner.If the spinner comes up 3, you win $9.So from the given information, the expression will be:-
N be a random variable that corresponds to your net winnings in dollars.
Money = N² - 5.
From the above equation, we can calculate the amount earned by the spinner number that comes.
Therefore the expected value of N will be given as:- Money = N² - 5.
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if there were 1580 people who participated in the survey then how many people said they had 4 members in their family?
Answers
Answer:
632
Step-by-step explanation:
1580*0.4=632
solve the inequality 1/2b+2≤8
Answers
1/2b+2≤8
1/2b≤6
b≤12
Any number less than or equal to 12 can solve the equation.
Answer
[tex]b\leq 12[/tex]
Step-by-step explanation
You would subtract two from the eight and that would get you six, and the reciprocal of 1/2 is two so technically you would multiply the 6 by two and that gets you 12.
Hope this helps any!