Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 What is the best viewing window to find the solution to the system of equations? 0 Less-than-or-equal-to x Less-than-or-equal-to 20, 0 Less-than-or-equal-to y Less-than-or-equal-to 20 0 Less-than-or-equal-to x Less-than-or-equal-to 20, –10 Less-than-or-equal-to y Less-than-or-equal-to 20 –20 Less-than-or-equal-to x Less-than-or-equal-to 0, –20 Less-than-or-equal-to y Less-than-or-equal-to 0 –20 Less-than-or-equal-to x Less-than-or-equal-to 0, –10 Less-than-or-equal-toy Less-than-or-equal-to 10
Answers
Answer:
The correct option is 2.
2) 0 Less-than-or-equal-to x Less-than-or-equal-to 20, –10 Less-than-or-equal-to y Less-than-or-equal-to 20.
Step-by-step explanation:
We have been given 2 equations.
y = -x + 9
y = 0.5x-6
Lets graph the both equations.
From the graph we can see that the line of both equations intersect at point (10,-1)
As the value of x of solution lies in the positive x axis, it is not necessary to graph the value of negative x-axis. It terminates the options 3 and 4 given.
As the value of y of solution lies in negative y-axis, it is necessary to graph some values of negative y-axis. It terminates option 1.
The only option left is option 2
Answer:
B
Step-by-step explanation:
I just did it on edge.
Related Questions
7. If the length of the side of a table is 3 more than twice its width, what is the expression
of its perimeter?
a. Draw an image and show all your work to demonstrate your thinking and
understanding of this problem.
b. If the perimeter is 30, what is the width of the table? Show your work
Answers
Answer:
Step-by-step explanation:
Width =w
Length = 2w + 3
Perimeter = 2*(length +width)
= 2*(2w +3 + w )
= 2*(3w + 3)
= 6w + 6
b) Perimeter = 30 units
6w + 6 = 30
Subtract 6 form both sides
6w = 30- 6
6w = 24
Divide both sides by 6
6w/6 = 24/6
w = 4
l = 2w + 3
= 2*4 + 3
= 8 + 3
= 11
Length = 11 units
Width = 4 units
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = square root of 3 Find: AC
Answers
Answer:
AC = 2.30
Step-by-step explanation:
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = [tex]\sqrt{3}[/tex].
Since CD ⊥ AB, thus CD divides AB into two equal parts.
From ΔACD, applying the Pythagoras theorem;
[tex]AC^{2}[/tex] = [tex]AD^{2}[/tex] + [tex]CD^{2}[/tex]
= [tex]1.5^{2}[/tex] + [tex](\sqrt{3}) ^{2}[/tex]
= 2.25 + 3
= 5.25
AC = [tex]\sqrt{5.25}[/tex]
= 2.2913
∴ AC = 2.30
The average annual salary of the employees of a company in the year 2005 was $70,000. It increased by the same factor each year and in 2006, the average annual salary was $82,000. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)? (1 point) f(x) = 70(1.17)x f(x) = 82(1.17)x f(x) = 70(2.2)x f(x) = 82(2.2)x
Answers
Answer:
question is too tough but it is very interesting
1 year = 365 days2 year = ? ( 70000 + 82000) we will add 2005 and 2006 salary because we have to find the total salaryx = 152000Answer:
i tink d
Step-by-step explanation:
A study found that 9% of dog owners brush their dog’s teeth. Of 578 dog owners, about how many would be expected to brush their dog’s teeth? Explain. A. 50; 9% ≈ 10% and 578 should be rounded down to 500; 10% of 500 = 50 B. 60; 9% ≈ 10% and 578 ≈ 600; 10% of 600 = 60 C. 70; 9% ≈ 10% and 578 ≈ 700; 10% of 700 = 70 D. 100; 9% ≈ 10% and 578 should be rounded up to 1,000; 10% of 1,000 = 100
Answers
Answer:
A. 50
Step-by-step explanation:
Simply multiply 9% and 578 to get your answer:
578(0.09) = 52.02
The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine x, the width of the window? 2.5 x + 0.6 = 4.9 2.5 x minus 0.6 = 4.9 0.6 x + 2.5 = 4.9 0.6 x minus 2.5 = 4.9
Answers
answer
2.5 x-0.6=4.9
Step-by-step explanation:
The height of a window is 0.6 feet less than 2.5 times its width.
If the height of the window is 4.9 feet.
Substitute in [1] we have;
2.5x-0.6 = 4.9
Therefore, an equation can be used to determine x, the width of the window is, 2.5x-0.6 = 4.9
Answer:
Or B
Step-by-step explanation:
for those you look for letters only
PLEASE HELP!!!! 5. POINTS EACH.
Answers
Answer:
question 3: 1/3 question 4: 5/7 question 5: 2/3
Answer:
1/3
5/7
2/3
Step-by-step explanation:
The numbers greater than 4 on a fair dice are 5 and 6.
2 numbers out of 6 or 2/6
2/6 = 1/3
Total parts = 7 + 12 + 18 + 5 = 42
12 are orange marbles.
42 - 12 = 30
30 marbles are red, yellow, and purple.
30/42 = 15/21 = 5/7
The numbers greater than 2 on a fair dice are 3, 4, 5, and 6.
4 numbers out of 6 total numbers.
4/6 = 2/3
Does this Graph represent a function? Why or why not?
Answers
Answer: Yes
Step-by-step explanation:
To solve this, imagine you have a vertical line. You can use a ruler or something straight. Move the ruler across the screen. Does the ruler intersect 2 points at once? If so, then it is not a function. If it only intersects one point, then it is a function.
Always remember: a function cannot have two x's with different y-values.
Hope that helped!
Multiply: (x + 3)(x – 4)
What is the middle term in the simplified product?
Ox
O-X
3x
O4x
Answers
Answer:
- x
Step-by-step explanation:
[tex](x + 3)(x - 4) \\ = x(x - 4) + 3(x - 4) \\ = {x}^{2} - 4x + 3x - 12 \\ = {x}^{2} - x - 12 \\ middle \: term \: = - x[/tex]
What is the quotient of 6/7 divided by 3/14
Answers
Answer:
6/7 ÷ 3/14
= 6/7 × 14/3
= 2/7 × 14 (we cancelled 3 with 6)
= 2×2 (we cancelled 7 with 14)
= 4
hope it helps
Step-by-step explanation:
Answer:
[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]
Step-by-step explanation:
Hope this helps you!! ( BTW this means / Divide ).
What is the ratio of the area of Rectangle A to Rectangle B?
Answers
Answer:
2:3
Step-by-step explanation:
Area of rectangle A : 8x3 = 24
Area of rectangle B : 9x4 = 36
Area A : Area B = 24:36
Divide 24:36 by 12
= 2:3
The ratio of the area of Rectangle A to Rectangle B is 2:3.
What is the formula of Area of Rectangle?The area of rectangle for a rectangle of length L and width W is given by
A = L* W
It is measured in square units.
A rectangle is a polygon with four sides, the opposite sides of the polygon is parallel and equal.
The Length of Rectangle A is 3
The Width of the Rectangle A is 8
The area of the rectangle A is 3 * 8
Area of the rectangle A = 24 sq.unit.
The Length of Rectangle B is 4
The Width of the Rectangle B is 9
The area of the rectangle B is 4 * 9
Area of the rectangle A = 36 sq.unit.
The ratio of the area of the rectangles A and B is,
= 24 / 36
= 12/18
= 6/9
= 2/3
Ratio ( area of Rectangle A : Rectangle B ) = 2:3.
To know more about Area of Rectangle
brainly.com/question/20693059
#SPJ5
HELP ME OUT PLEASE!! -Find the number: 25% of a number is a lb.
Answers
Answer:
I’m going to generalise the answer in the hope of preventing a billion questions with the % changed a little.
If you have a calculator X% just means multiply by X and divide by 100.
If you don’t have a calculator or paper handy, you can split the problem: I’ll do it for 25% but in this case the other answers are simpler.
25%=10%+10%+5%.
Now 10% is easy, just move the decimal one place to the left, for instance 35 becomes 3.5.
5% is half of 10% 3.5/2=1.75
Add it all up: 3.5+3.5+1.75= 8.75. Done.
You don't even need to know multiplication above 5x tables, for instance
37% is 10%+10%+10%+7% but that requires multiplying by 7.
37% is also 10%+10%+10%+10% -3% only requiring 3x table.
I'm not sure if this is what you mean but here ya go
Answer:25%=
25/100
25/100 * 1/1
100 * 1/25*1=
100/25=
4
Step-by-step explanation:
01:37:49
The function f(x) = −(x + 5)(x + 1) is shown.
On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 3, 4), and goes through (negative 1, 0).
What is the range of the function?
all real numbers less than or equal to 4
all real numbers less than or equal to −3
all real numbers greater than or equal to 4
all real numbers greater than or equal to −3
Answers
Answer:
all real numbers less than or equal to 4
which agrees with the first answer option listed
Step-by-step explanation:
The parabola opening down means that its two branches go on towards negative values with no limit. The maximum y-value that this parabola can reach is therefore the y-value of its vertex which is 4, given that the vertex coordinates are (3, 4).
Therefore, the Range of y-values can have any real number that is smaller than or equal to 4
Answer:
all real numbers less than or equal to 4
Step-by-step explanation:
The leading coefficient is negative, so the vertex is a maximum. The y-value of the vertex (4) is the upper limit of the range.
The range is all real numbers less than or equal to 4. (first choice)
Each block on the grid is 1 unit by 1 unit. We wish to walk from A to B via 7 unit path but we have to stay on the grid. How many different paths can we take?
Answers
Answer:
The number of path we can take to walk from A to B via a 7 unit path while staying on the grid is 35 paths
Step-by-step explanation:
Given that we are to walk via a 7 unit path, we have;
Path to walk = Right or Left from start point A
Total number of rights and left to get to point B from A must be 7
3 of the turns have to be in the left direction while 4 of the turns are right
Therefore, in 7 turns we have 4 in the right direction and 3 in the left direction which gives;
Number of ways for the first turn = 7, the next turn has 6 ways after that 5 and so on so we have;
7 × 6 × 5 × 4 × 3 × 2 × 1 out of which four are in the right direction in 4 × 3 × 2 × 1 ways and 3 are in the left direction in 3 × 2 × 1 ways, which gives the number of ways as follows;
[tex]Number \, of \, ways = \dfrac{7\times 6\times 5\times 4\times 3\times 2\times 1}{4\times 3\times 2\times 1 \times 3\times 2\times 1 } =\dfrac{5040}{144} = 35[/tex]
Therefore, there are 35 paths we can take to walk from A to B via a 7 unit path while staying on the grid.
use the elimination method to solve the system of equations. Choose the correct ordered pair. 5x-y=27 and 5x+4y=42
Answers
Answer:
(6,3)
Option B is the right option.
please see the attached picture for full solution...
Hope it helps....
Good luck on your assignment...
Factor the expression completely.
8x2 - 18
Answers
Answer:
2 ( 2x-3) (2x+3)
Step-by-step explanation:
8x^2 - 18
Factor out a 2
2(4x^2 -9)
Inside the parentheses is the difference of squares
2 ((2x)^2 - 3^2)
We know the difference of squares is (a^2 -b^2) = (a-b)(a+b)
2 ( 2x-3) (2x+3)
13. Write the equation of a horizontal line that passes through the point (3, -3).
O x = -3
Ox= 3
O y = 3
O y = -3
Answers
Answer:
O y = -3
Step-by-step explanation:
The line is horizontal.
x = -3 and x = 3 are vertical lines, so they are incorrect.
The line passes through (3, -3).
(x , y)
Put y as -3.
y = 3
(-3) = 3
Line y = 3 is incorrect.
(-3) = -3
Line y = -3 is correct.
Answer:
O y = -3
Step-by-step explanation:
Equations beginning with 'x=' would form a vertical line, not a horizontal line.
The point (3,-3) would satisfy y = -3.
-3 = -3
O y = -3 should be the correct answer.
Based on the graph of which statement is true?
A. The inverse of f exists.
B. The inverse of f does not exist.
Answers
Answer:
A
Step-by-step explanation:
Definition: A method of solving a system of equations in which you obtain opposites to cancel one of the variables and solve for the other variable.
Answers
Hope this helps:$
HELP ME PLEASE Match each function formula with the corresponding transformation of the parent function y = - (x + 2)2. 1. y = - (x + 4)2 Translated up by 2 units 2. y = - (x + 2)2 - 2 Translated left by 2 units 3. y = (x - 2)2 Reflected across the x-axis 4. y = 2 - (x + 2)2 Translated down by 2 units 5. y = -x2 Translated right by 2 units 6. y = (x + 2)2 Reflected across the x-axis and the y-axis
Answers
Reflected over x axis => y=3(-x)
Reflected over y axis => y=-(3x)
Translated down 2 => y=3x-2
Translated right 2 => y=3(x-2)
Translated up 1 => y=3x+1
Translated left 1 => y=3(x+1)
please mark me brainliest!
Please help ASAP!!!!! I will give extra 20 points please help i really want to go roller blading !!!! The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than its height. Complete an input/output table for at least three pairs of inputs and outputs. Make sure to use values that make sense within the context of this situation.
Answers
Answer:
See below,
Step-by-step explanation:
Input Output
B H Perimeter (2B + 2H)
3 1 8
5 3 16
14 12 52
I hope this helps.
[tex]\frac{y-95}{4} = 1[/tex]
y = _____
Answers
Y - 95 = 4
+95 +95
Y= 99
A six-sided die is rolled twice. What is the probability that the result of both rolls are
a 1?
01/6
2/36
1/36
2/6
Answers
Answer:
1/36
Step-by-step explanation:
If a cube rolls and it landed on one it’s 1/6 if u rolled he same cube and got one too then it’s still 1/6 so now u just multiply them
Hope this helps
Answer:
1/36.
Step-by-step explanation:
Each event of a die being rolled is an independent event, which means that each time you roll the die does not affect the next time you roll it.
The probability of getting a 1 on the first roll is going to be 1/6, since there is only one 1 on the 6-sided die.
The probability of getting a 1 on the second roll is also going to be 1/6, for the same reason.
So, if both rolls are going to be 1s, the probability that will happen is (1/6) times (1/6), which is 1/36.
Hope this helps!
5n+6+(−7n) answer olz
Answers
Answer:
-2n + 6
Step-by-step explanation:
When we simplify the equation, we add like terms. 5n - 7n is 2n and 6 doesn't have anything to add/subtract to, so we have -2n + 6
Find the range of {(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}.
Answers
Answer:
{-3, 5.9, -3, 8.3}
Step-by-step explanation:
The range is always the second number of all pairs
Solve the compound inequality.
5 < 2x - 1<9
show your work solving the inequality
Answers
Answer:
x> 3 and x <5
OR
3 < x <5
Step-by-step explanation:
To solve the compound inequality, we will follow the steps below:
We will first break it into two inequalities.
That is;
5 < 2x - 1<9
5 < 2x - 1 AND 2x - 1<9
Then we will solve separately
5 < 2x - 1
add 1 to both-side of the equation
5 +1 < 2x - 1 +1
6 < 2x
Divide both-side of the inequality by 2
6 /2 < 2x/2
3 < x
x>3
we will now solve the other inequality
2x - 1<9
add 1 to both-side of the equation
2x - 1+1<9 +1
2x < 10
divide both-side of the inequality by 2
2x /2< 10/2
x < 5
Therefore x> 3 and x <5
or
3 < x <5
Answer:
[tex]x = (5 \: . \: 3)[/tex]
Step-by-step explanation:
To solve a compound inequality, seperate it into two inequalities:
[tex]2x - 1 > 5 \\ 2x - 1 < 9[/tex]
Solve the inequality for x:
[tex]x > 3 \\ 2x - 1 < 9[/tex]
Solve the inequality for x:
[tex]x > 3 \\ x < 5[/tex]
Find the intersection:
[tex]x = (5 \: . \: 3)[/tex]
helpppppppppp plsssssss
Answers
Hey there! :)
Answer:
a) Blue.
b) 1/2.
Step-by-step explanation:
Find the probabilities for each color:
Blue: 1/8
Yellow: 3/8
Green: 4/8 or 1/2
a) The color that the spinner is the least likely to land on has the smallest probability, which in this instance, is blue.
b) The probability of the spinner landing on green can be determined by:
# of green sections /total
Therefore:
4 / 8
Simplify the fraction:
4 / 8 = 1 / 2.
Answer:
a) Blue
b) 1/2
Step-by-step explanation:
a) The colors on the spinner are blue (B), green (G), and yellow (Y).
(B) = 1/8
(G) = 4/8
(Y) = 3/8
The spinner is least likely to land on the color blue.
b) The probability that the spinner lands on the color green is 4/8. The spinner has 8 equal sections, 4 of the sections are green.
4/8 can be simplified to 1/2.
THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answers
Answer:
33.33 %
Step-by-step explanation:
Difference:
=> 27 - 18 = 9
%age Increase:
=> [tex]\frac{9}{27} * 100 %[/tex]
=> 33.33 %
Answer:
33.3 %
Step-by-step explanation:
One-quarter of the Math Olympiad participants are two-thirds of the Genius Circle students. Eight Genius Circle students did not participate in the Olympiad. What is the total number of students who participated in the Math Olympiad?'
Answers
Then we have the equation:
2/3Y + 8 = Y
8 = 1/3Y
8 x 3 = Y
24=Y
Now that we know what is Y we can substitute: 2/3Y = 2/3 x 24 = 16
If 16 of the Genius Circle participants equal to 1/4 of the participants of the Math Olympiad which mean:
1/4 = 16
4/4 = 16 x 4
4/4 = 64
And so the answer for the total number of the participant in the Math Olympiad is 64.
Answer:
64
Step-by-step explanation:
This question is actually not hard just requires careful calculations.
So we know that 1/4 of MO (Math Olympiad) = 2/3 of GC (Genius Circle)
It also gives that 8 GC Members did not go to MO
So using these statements, we can find that
a. 1/3 of GC = 8 members --> and
b. 2/3 of GC = 16 which makes -->
c. 1/4 of MO = 16
Using these statements we can simply calculate 16 x 4 = 4/4 = 1
1 = Total amt. of participants in the MO => 16(4)
64
Hope this helps!
The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?
Answers
Answer:
x ≥ 17,500
Step-by-step explanation:
To solve this problem, we will follow the steps below:
let x be the cost of the next year's model
Writing the question in a mathematical format yield
$14,000 ≤ 80% of x
This implies ;
80% of x ≥$14,000
80% × x ≥$14,000
[tex]\frac{80X}{100}[/tex] ≥ $14,000
multiply both-side of the inequality by 100
[tex]\frac{80X}{100}[/tex] × 100 ≥ $14,000 × 100
at the left hand-side of the inequality 100 will cancel-out 100 leaving us with just 80x
80x ≥ $1,400,000
Divide both-side of the equation by 80
80x /80 ≥ $1,400,000/80
x ≥ 17,500
Find the area of a rectangle whose side lengths are 4x² and 6x²– 3x.
A. 24x⁶– 12x²
B. 24x⁴ - 3x
C. 24x⁴ - 12x³
D. 20x³- 6x²
Answers
Answer:
c
Step-by-step explanation:
4x^2(6x^2-3x)
=24x^4-12x^3
Answer: C. 24x⁴ - 12x³
Step-by-step explanation:
The area of a rectangle is length × width.
4x² × (6x²– 3x) to answer this, we multiply 4x² for each term inside the parentheses.
4x² × 6x² = 24x⁴ (4 × 6 = 24 and x² × x² = x⁴)
4x² × -3x = -12x³ (4 × -3 = -12 and x² × x = x³)
So the answer is 24x⁴ - 12x³