The tables represent two linear functions in a system
х
y
-6
-22
-3
-10
0
2
3
14
What is the solution to this system?
х
-6
-3
0
3
y
-30
-21
-12
-3
01-13-25)
0 (-34 -54)
O (-13, -50)
O (-14, -54)

Answer:

6.99 rounded up to 7 :))

Step-by-step explanation:

1/3 = 0.33

2.33 * 3 = 6.99 ft

Answer:

7)Bagel costs $3.5 and muffin cost $1.25

8) Ticket is $9 while snacks are $2

9) Correct because left hand side is zero

10) Correct because they both have same slope and same y-intercept

Step-by-step explanation:

7) Let bagel be x and muffin be y.

Thus;

For Aaron;

x + 3y = 7.25 - - - (1)

For bee;

x + 2y = 6 - - - (2)

Subtract eq 2 from eq 1 to get;

y = 1.25

Put 1.25 for y in eq 2;

x + 2(1.25) = 6

x + 2.5 = 6

x = 6 - 2.5

x = 3.5

Bagel costs $3.5 and muffin cost $1.25

8) Let movie ticket be x and snacks be y.

Thus;

2x + 3y = 24 - - - (1)

3x + 4y = 35 - - - (2)

Multiply eq(1) by 3 and eq(2) by 2 to get;

6x + 9y = 72 - - - (3)

6x + 8y = 70 - - - (4)

Subtract eq 4 from eq 3 to get;

y = 2

Put 2 for y in eq 3;

6x + 9(2) = 72

6x + 18 = 72

6x = 72 - 18

6x = 54

x = 54/6

x = 9

Ticket is $9 while snacks are $2

9) using elimination, subtract eq 1 from eq 2, we will see that the entire left hand side is equal to zero.

Thus, no solution exists because we can't isolate the variable to get an answer.

10) The answer is correct because for a system of 2 simultaneous equations to have infinite solutions, they both have to have the same y-intercept and also same slope.

In this case, their y-intercept which is when x is 0 is;

3(0) + y = 9

y = 9

Their slope is also the same equal to 3.

Answer:

there are two chickens and they lay 2 eggs a day wich hatch into new chickens therefore the quantity goes up everytime the eggs hatch

Answer: m∠S=141°

Step-by-step explanation:

Here, we need to know the definition of supplementary angles. Supplementary angles are two angles that add up to 180°. If you need a more detailed graphical explanation, please refer to the attachment below.

---------------------------------------------------------------------------------------------

Given

m∠R=39°

Solve

Given

m∠R + m∠S=180

Substitute value

39 + m∠S=180

Subtract 39 on both sides

39 + m∠S - 39=180 - 39

m∠S=141

Hope this helps!! :)

Please let me know if you have any questions.

Answer:

-6, 10

Step-by-step explanation:

When you reflect of the y-axis the x will be negative if the original point was positive and the y will stay the same

Answer:

No they do not.

5/18 ≠ 1/2

If it did, it would be 9/18

Hope that helps!

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

I think

Answer:

40

explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The answer gives you the range of the list.

Answer:

77.43% decrease

Step-by-step explanation:

A decrease of 11% = (100 - 11)% = 89% = [tex]\frac{89}{100}[/tex] = 0.89

A decrease of 13% = (100 - 13)% = 87% = [tex]\frac{87}{100}[/tex] = 0.87

A 11% decrease followed by a 13% decrease has an overall change of

0.89 × 0.87 = 0.7743 × 100% = 77.43%

Given:

The point P = (3,2) is rotated 270° counterclockwise about the origin.

To find:

The image of the given point after rotation.

Solution:

If a point rotated 270° counterclockwise about the origin, then the rule of rotation is:

[tex](x,y)\to (y,-x)[/tex]

Using this rule, we get

[tex]P(3,2)\to P'(2,-3)[/tex]

Therefore, the image of given point P = (3,2) after the rotation of 270° counterclockwise about the origin, is P'(2,-3).

Answer:

U would find the perimeter.

Step-by-step explanation:

Answer:

The solution to this question is 104.25cm²

Step-by-step explanation:

u

Answer:

hi

Step-by-step explanation:

i think so

A=

[tex] = \pi \times {r}^{2} [/tex]

=3,14×5,76²=104,177

hope it helps

have a nice day

Answer:

A- point A

Step-by-step explanation:

Absolute value doesnt care about the sign so a negative is a positive.

PLease Brainliest

Answer:

58.9

Step-by-step explanation:

y²=x²+z²-2×z cos(y)

20²=22²+18²-2(22)(18) cos (y)

400=484+324-792 cos(y)

-408=-772 cos (y)

408/792=cos y

y=cos⁻¹(408/792)=58.9

hope it helps...

have a great day!!

Answer:

1/2

Step-by-step explanation:

The slope can be found by looking at the Rise over run or in other words how ever much it moves up over how much it move right.

Answer: D

i hope this helps!

Answer: the answer is D!

Step-by-step explanation:

Answer:

B. The equation represents a function, but not a linear function.

Step-by-step explanation:

Equation with x squared:

A equation in which the highest power of x is 2, that is, a term [tex]ax^2[/tex], is called a quadratic function.

In this question:

[tex]y = 4x^2[/tex] is a function.

However, since the highest power of x is 2, it is not a linear function, it is a quadratic function, and the correct answer is given by option B.

Answer:

B

Step-by-step explanation:

Answer:

82+2>34

84>34

True

I hope this helps :)

Answer: x=11.9

Step-by-step explanation:

Here, we need to know the concept of trigonometry

---------------------------------------------------------------------------------

Given

θ = 32°

Hypotenuse = 14

x = adjacent side (relative to θ)

Solve

cos ( 32 ) = x / 14

x = 14 cos ( 32 )

x≈11.9

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 11.9

Step-by-step explanation:

x / 32 / 14

x = 11.9

Hope this helps

I disagree with Shannon's statement that 758−513=245 based on the reasoning provided.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc.

Here,

While it is true that 7−5=2, 5−1=4, and 8−3=5, this reasoning only applies to the individual digits in each place value, not the numbers as a whole. To subtract the two mixed numbers 7 5/8 and 5 1/3, we need to find a common denominator first.

To subtract mixed numbers with unlike denominators, we follow these steps:

Convert each mixed number to an improper fraction.

Find a common denominator for the two fractions.

Subtract the numerators and write the result over the common denominator.

Simplify the result, if possible, by reducing the fraction to lowest terms or converting it back to a mixed number.

Let's apply these steps to the problem:

7 5/8 - 5 1/3

Step 1: Convert each mixed number to an improper fraction.

7 5/8 = (87 + 5)/8 = 59/8

5 1/3 = (35 + 1)/3 = 16/3

Step 2: Find a common denominator for the two fractions.

The least common multiple of 3 and 8 is 24, so we'll use 24 as the common denominator.

59/8 = (593)/(83) = 177/24

16/3 = (168)/(38) = 128/24

Step 3: Subtract the numerators and write the result over the common denominator.

177/24 - 128/24 = 49/24

Step 4: Simplify the result, if possible, by reducing the fraction to lowest terms or converting it back to a mixed number.

49/24 is already in its simplest form, so the final answer is 49/24.

Therefore, the correct result of 7 5/8 - 5 1/3 is 49/24, not 245.

To know more about equation,

https://brainly.com/question/649785

#SPJ1

Answer:

17.27

Step-by-step explanation:

so we do 5.5/2=2.75

2x3.14= 6.28

6.28x2.75=17.27

Answer:

$320

Step-by-step explanation:

400*0.8(decimal form of 80%) = 320

Answer:$80

Step-by-step explanation:

$400x0.80=$320 off

400-320=$80

Or

$400 x 0.20= $80 sale price

Answer:

The athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.

Step-by-step explanation:

Given that at first an athlete jogs at 4 miles per hour and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours, to determine how long does the athlete jogs at each speed the following calculation must be performed:

4 x 1.5 + 6 x 0 = 6

4 x 1 + 6 x 0.5 = 7

4 x 0.75 + 6 x 0.75 = 7.5

4 x 0.5 + 6 x 1 = 8

Therefore, the athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.

The value limx→∞g(x) is zero option (c) is correct.

The differential equation involves the function and its derivative to represent a relationship between the functions and their derivative. In simple words, the differential equation is the mathematical relation that consists of one or more functions with its derivative.

We have a differential equation:

[tex]\rm \frac{dy}{dx} =y^2(4-y^2)[/tex]

[tex]\rm\frac{dy}{y^2(4-y^2)} = dx[/tex]   (rearranging the equation to solve)

[tex]\int \rm\frac{dy}{y^2(4-y^2)} = \int dx[/tex]

[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+c[/tex]    (after integrating both sides)

For the given initial condition g(-2) = -1

When x = -2, y = -1

[tex]\rm \frac{ln(|-1+2|)}{16} -\frac{1}{4(-1)} -\frac{ln(|-1-2|)}{16} = -2+c[/tex]

[tex]\rm \frac{1}{4} -\frac{ln(|-3|)}{16}+2 = c[/tex]

The value of c = 2.18

The equation we get:

[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+2.18[/tex]

As we can see the value of g(-2) is negative and from the graph of the above equation it goes to infinity and it touches the x-axis at the infinity.

The value   [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] when x reaches infinity the value of function g(x) becomes zero. ie.

[tex]\displaystyle \lim_{x \to \infty}g(x) =0[/tex]

Thus, the value  [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] is zero option (c) is correct.

Learn more about the differential equation here:

https://brainly.com/question/14620493

Answer:

parallel y=7x+26

perpendicular y=1/7x+32/7

Step-by-step explanation:

parallel line have the same slope

y-5=7(x-(-3))

y-5=7(x+3)

y-5=7x+21

y=7x+21+5

y=7x+26

perpendicular slope  is the opposite of the original slope of 7

y-5=-1/7(x-(-3))

y-5=-1/7(x+3)

y-5=-1/7x-3/7

y=-1/7x-3/7+5

y=-1/7x+32/7

Answer:

Verified below

Step-by-step explanation:

We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)

In trigonometric identities;

Cot θ = cos θ/sin θ

Thus;

(cot θ - 1)/(cot θ + 1) gives;

((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)

Simplifying numerator and denominator gives;

((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)

This reduces to;

>> (cos θ - sin θ)/(cos θ + sin θ)

Multiply top and bottom by ((cos θ + sin θ) to get;

>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)

In trigonometric identities, we know that;

cos 2θ = (cos² θ - sin²θ)

cos²θ + sin²θ = 1

sin 2θ = 2sinθcosθ

Thus;

(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:

>> cos 2θ/(1 + sin 2θ)

This is equal to the left hand side.

Thus, it is verified.