Answer:
-6 x -6
Step-by-step explanation:
2 negatives equal a positive
Find the coordinates of the vertices of the figure formed by each system of inequalities. x + y < 9 x - 2y < 12 y < 2x + 3 a. (0, 0), (0, 1), (2, 0) c. (9, 1), (2, 3), (5, 6) b. (10, -1), (-6, -9), (2, 7) d. (0, -1), (2, -1), (3, 6)
Answer:
b. (10, -1), (-6, -9), (2, 7)
Step-by-step explanation:
One way to solve this problem is by graphing (see attachment). In fact, that actually is the easiest way to do this.
First, graph x + y < 9 (red part on the attachment). To do this, isolate the y so that it's like a regular linear equation: y < -x + 9. Graph the line y = -x + 9 first, and then choose a point either on the left or right of the line to plug in for x and y.
Let's just choose (0, 0), which is on the left of the line: 0 < -0 + 9 ⇒ 0 < 9. Since this is a true statement, we know that we should shade the left side of the equation, and not the right side.
Now, graph x - 2y < 12 (blue part on the attachment). It's the same process here as the first inequality. For this one, we find that we also shade to the "left" of the line (it's more "up" than "left", but you get the idea).
Finally, graph y < 2x + 3 (green part on the attachment). Again, it's the same process. For this, we shade to the right.
Now look at the three points that they intersect at: they are (2, 7), (-6, -9), and (10, -1). The answer is thus B.
Step-by-step explanation:
Step 1: Graph each of the inequalities
x + y < 9
x - 2y < 12
y < 2x + 3
It comes out that the vertices are (2, 7), (10, -1), and (-6, -9)
Answer: Option B
You are going to a baseball game and you love to eat salted peanuts while watching the game. You know that you can buy peanuts there, but you know its cheaper to bring your own. When you go to the grocery store to buy some, you see two choices: $3.59 for a 20 oz bag of salted peanuts or $2.59 per pound for loose salted peanuts.
Answer:
I am assuming you are asking which is the cheaper option per ounce since you did not specify a question.
Option 1: 3.59$ for a 20 oz bag
3.59/20=.1795 $/oz
Option 2: 2.59 per 1 pound
1 pound = 16 oz
2.59/16= .161875 $/ozo
Since .16 dollars is less than .18 dollars, the second option, where 1 pound costs $2.59, is cheaper.
Your soccer team wants to practice a drill for a certain amount of time each day. Which plan will give your team more total practice time over 4 days? Over 8 days? Explain your reasoning.
Answer:
plan 1
Step-by-step explanation:
plan 1: 5 + 6 + 7 + 8 = 26min 8 days: 68
plan 2: 1 + 2 + 3 + 4 = 10min 8 days: 36
Answer:
The answer would be plan two since it would double each day, making it a lot larger than Plan 1.
Step-by-step explanation:
So first, to understand this, 0 is today, and then I did this based on 4 days and 8 days after what is represented as "today."
Plan 1:
[tex]y=5+1x[/tex]
Day 4:
[tex]y=5+1(4)\\y=5+4\\y=9[/tex]
Day 8:
[tex]y=5+1(8)\\y=5+8\\y=13[/tex]
Plan 2:
[tex]y=2^{x}[/tex]
Day 4:
[tex]y=2^{4} \\y=2*2*2*2\\y=4*2*2\\y=8*2\\y=16[/tex]
Day 8:
[tex]y=2^{8} \\y=2*2*2*2*2*2*2*2\\y=4*2*2*2*2*2*2\\y=8*2*2*2*2*2\\y=16*2*2*2*2\\y=32*2*2*2\\y=64*2*2\\y=128*2\\y=256[/tex]
You can make one square with four toothpicks. Show how you can make two squares with 10 toothpicks and five squares with 12 toothpicks please help
Answer:
by doing it the same way you did with the first one.
Step-by-step explanation:
!28 POINTS! I need help quick!! The area of a rectangle is 2x^2-7x-15. Determine binomials that represent the length and the width if this triangle.
Answer:
(2x +3 )(x-5)
one is the length and one is the width
Step-by-step explanation:
2x^2-7x-15
Factor
(2x )(x )
What are the factors of -15? -1*15 and -3*5, 3*-5 , 1*-15
We need 2* one factor ± the other factor = -7
2*-5 +3 = -7
That means the -5 is on the outside and the +3 is on the inside
(2x +3 )(x-5)
A hotel swimming pool is made up of four semicircles and a square. Find the perimeter of the swimming pool. Round your answer to the nearest tenth.
Given the conditional statement c→~b, which of the following is the converse
Answer:
To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains." To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.
Step-by-step explanation:
help plz..will give the brainliest!!
need step by step explanation .
Answer:
[tex]=8[/tex]
Step-by-step explanation:
[tex]\log _2\left(16\right)\log _3\left(9\right)\\\mathrm{Simplify}\:\log _2\left(16\right):\quad 4\\\log _2\left(16\right)\\\mathrm{Rewrite\:}16\mathrm{\:in\:power-base\:form:}\quad 16=2^4\\=\log _2\left(2^4\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _2\left(2^4\right)=4\log _2\left(2\right)\\=4\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _2\left(2\right)=1\\=4\cdot \:1[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1=4\\=4\\=4\log _3\left(9\right)\\\mathrm{Simplify}\:\log _3\left(9\right):\quad 2\\\log _3\left(9\right)\\\mathrm{Rewrite\:}9\mathrm{\:in\:power-base\:form:}\quad 9=3^2\\=\log _3\left(3^2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _3\left(3^2\right)=2\log _3\left(3\right)\\=2\log _3\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _3\left(3\right)=1\\=2\cdot \:1[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2\\=4\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=8[/tex]
Which graph represents the solution set of the inequality below?
Answer:
A
Step-by-step explanation:
please help!! what is the m<4?
Answer:
[tex]m\angle 4 = 117\textdegree[/tex]
Step-by-step explanation:
-Both [tex]\angle 1[/tex]and [tex]\angle 4[/tex] are supplementary, which they both equal to [tex]180\textdegree[/tex]. So, to get the measurement of [tex]\angle 4[/tex], you need to subtract measure of [tex]\angle 1[/tex], from [tex]180\textdegree[/tex] :
-Both [tex]\angle 1[/tex] and [tex]\angle 4[/tex] are supplementary:
[tex]\angle 1 + \angle 4 = 180\textdegree[/tex]
-Find the [tex]m \angle 4[/tex] by subtracting the [tex]m \angle 1[/tex] from [tex]180[/tex] :
[tex]180\textdegree - 63\textdegree = 117\textdegree[/tex]
So, the [tex]m\angle 4[/tex] is [tex]117\textdegree[/tex] .
Estimate.
A. 2
B. 2.9
C. 3
D. 3.9
Answer:4
Step-by-step explanation:
Which equation would take y = 2x + 5 and make the line steeper, but not
change the y-intercept? *
Answer:
5x
Step-by-step explanation:
Answer:
y = 4x+5
Step-by-step explanation:
the coefficient of x makes the line steeper when it is increased and the number after the x (5) is the y intercept.
Another point also lies on the line y = 3x 2
Its y-coordinate is 25
Write down the coordinates of this point.
What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) – 4 = 0 as a quadratic equation?
- (x+5)
- (x - 5)
Ou-(x + 5)2
u = (x - 5)2
Answer:
x+5 is replaced
Step-by-step explanation:
6(x + 5)^2 + 5(x + 5) – 4 = 0
Replace x+5 with m
6(m)^2 + 5(m) – 4 = 0
Now this is a quadratic equation
The required substitution is (x + 5) to rewrite 6(x + 5)² + 5(x + 5) - 4 = 0 as a quadratic equation. The correct answer is A. (x+5).
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
The quadratic equation is given as follows:
6(x + 5)² + 5(x + 5) - 4 = 0
Let u = x + 5. Then, we can rewrite the equation 6(x + 5)² + 5(x + 5) - 4 = 0 as:
6u² + 5u - 4 = 0
This is now a quadratic equation in u, which can be solved using the quadratic formula or factoring.
Once we find the solutions for u, we can substitute back u = x + 5 to get the solutions for x.
Therefore, the correct answer is A. (x+5).
Learn more about quadratic function here:
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Veronica has received a $3,000 gift and is looking for a bank to start a savings account. Which option would be the best for her if the current inflation rate is 2.5%?
A. bank that offers 4% interest
B. bank that offers 3% interest
C .bank that offers 2.5% interest
D. bank that offers 3.5% interest
Answer:
A
Step-by-step explanation:
You are looking for the highest real interest rate, which is the nominal rate minus the inflation rate. With that being said, the lowest interest rate is 2.5%, which wouldn't make her anything. However, the 4% interest rate yields 1.5% real interest, making it the best option.
The best investment option is the option (A), where the interest rate is 4% which is higher than other options.
What is the interest rate?The amount a lender charges a borrower, expressed as a percentage of the principle, is known as the interest rate.
Given that, the current inflation rate is 2.5%.
Therefore, to make a profitable investment, the interest rate should be more than the inflation rate.
The higher interest rate will give a higher profit.
Therefore, the best investment option is an option (A), where the interest rate is 4% which is higher than other options.
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Please answer correctly !!! Will mark brainliest !!!!
Answer:
This answer for the provided question is yes.
If its what I think, The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Step-by-step explanation:
Much appreciated if answered. =)
Eddie earns $45,000 a year. He works 45 hours a week, 50 weeks a year. How much money does Eddie earn per hour?
A.) $20
B.) $45
C.) $50
Answer:
c
Step-by-step explanation:
I got it right
HELP AGAIN (this might be the last question im not sure)
Answer:
They are supplementary angles and have a turn of 180 degrees
Step-by-step explanation:
I did this before
Answer:
They are supplementary angles and have a turn of 180 degrees
Step-by-step explanation:
Given the function f(x) = 2/3 * x - 5 , evaluate f(9)
Answer:
1
Step-by-step explanation:
(I will mark brainliest if correct!! so PLEASE HELP!!!)
Matt has started a car washing business to save money for college. each week he washes three more cars than the week he did before.
Part A: Matt started by washing 6 cars his first week in business. Write an explicit formula that can be used to find the number of cars he washed on any given week.
A. 6+3n
B. 6(3n-1)
C. 6+3(n-1)
D. 3+6(n-1)
Part B: How many cars will Matt wash on his 11th week in business?
A. 17
B. 36
C. 39
D. 66
(if you don't want to answer part B I just really need Part A but it would be very helpful if you did both parts)
Answer:
I think it's A for the first one and B in the second.
Step-by-step explanation:
I'm not sure.
Which of the labeled points on the number line above could have coordinate - 2.85?
A, B, C, D
Please help!
Answer: B
Step-by-step explanation:
Since B is closer to 3
Factor 2x2 - 9x - 5 using substitution.
Answer:
(2x+1)(x−5)
Step-by-step explanation:
If we factor 2x² - 9x - 5 using substitution, we would have; (2x+1)(x−5).
How to factor the expressionThe substitution method of factorization requires that we replace it with another variable. Thus, in the expression above, we would first determine the product of the leading coefficient, and find two numbers that add up to the coefficient of the leading term.
The last step is to group the terms and factor the greatest common factor. The result of this factorization would be:
(2x+1)(x−5)
Learn more about factorization here:
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Which line on the graph below has a slope of zero?
On a coordinate plane, line Q is horizontal, line P has a positive slope, line R is vertical, and line S has a negative slope.
P
Q
R
S
Answer:
Q (B)
Step-by-step explanation:
got it on edge
Answer:
line b
Step-by-step explanation:
Would you rather have a pool that is 20m×8m×6m OR a pool that is 1550cm×650cm×725cm?
Answer:
i would have a pool which is 1550cm×650cm×725cm.
Step-by-step explanation:
bigger pools=more fun
Answer:
i would rather have a pool that is 1550cm*650*725
Step-by-step explanation:
i chose this one because it has a bigger shape and its deeper
What is the answer of this question
The right answer is x^2-1.
EXPLANATION:
To be a polynomial, the power of each term must be a whole number.
Hope it will be helpful to you...
Good luck on your assignment
~pragya
What is the surface area of a sphere with a radius of 11 units?
O A. 1331 pie units
O B. 363 pie units2
C. 726pie units2
O D. 484pieunits
Answer:
A=1520.53units 2
Step-by-step explanation:
formula is A=4πr2
484 π square units t is the surface area of a sphere with a radius of 11 units
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We have to find the surface area of a sphere with a radius of 11 units
The formula for finding surface area of sphere is 4πr²
where r is the radius of sphere
r=11 units
Surface area =4π.11²
=4×121π
=484 π square units
Hence, 484 π square units t is the surface area of a sphere with a radius of 11 units
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HELP ME QUICK HURYY PLZ ILL GIVE YOU 15 POINTS!!!!!
Answer:
I think it is the seconds option
Step-by-step explanation:
the second box i think
can someone plz answer my question :(
Answer:
When they ask for the rows, that means we need to divide everything by the column totals, not the row totals. (See how there's a total row and a total column? We use the total column.) This seems counterintuitive: just think of it as horizontal.
Let's try the "get to work before 9 am" row.
8/11 = .73
3/11 = .27
11/11 = 1.00
It works! Choice A is correct.
Let's now try the "get to work after 9 am" row.
5/9 = .56
4/9 = .44
9/9 = 1.00
It works too! So if you're allowed to put two answers, choices A and B would both be correct.
Graph g(x)=5|x-6|+2.
Here is the graph as requested.
Just need the answer no work needed thank you
Answer:
The answer is D 5.75 inches
Step-by-step explanation:
D. 5.75
Step-by-step explanation:
11.5*16*5.75 = 1,058
HELP!!!!!!!!! ASP
A line passes through the points R(–9, 4) and F(1, 2). Two points that lie on a line perpendicular to this line are
Select one:
a.
(–10,–4) and (–5,5)
b.
(10,4) and (5,5)
c.
(15,2) and (24,4)
d.
(2,15) and (4,25)
Answer:
D
Step-by-step explanation:
What you need to do is find the slope of both lines. Perpendicular lines are the negative inverse of each other. The slope of the lie between points R and F is (2-4)/(1+9)=-1/5. Now you need to find the line where the slop is 5. If you look at D, the slope of the line those points lie on is (25-15)/(4-2)=5 which makes D the answer.
Answer:
D. (2,15) and (4,25)
Step-by-step explanation:
The slope of the line that passes through (-9,4) and (1,2) is -1/5 so in order to find the slope that is perpendicular to it, you need to find out with of these pairs of points has a slope that is the negative reciprocal of -1/5 which is 5. So the only points that have the slope of 5 are (2,15) and (4,25).
~Please mark me as brainliest :)