on a piece of paper, graph the system of equations. then determine which answer choice matches the graph you drew and identify the solution to the system

y=-2x-1
y=x+5

A. -2, 3

B. 3, 2

C. 3, -2

D. 2, 3

thank you very much >//-//<​

Answer:

Hamburgers

Step-by-step explanation:

82.86/3 = 27.62

55.12/2 = 27.56

27.56 is smaller so hamburgers it is!

Answer: The answer is y=7x+4

M is the slope and the y-intercept is b

The number that is non-irrational is 5.73, because it can be written as a quotient of two integers.

A rational number is a number that can be written as a quotient of two integer numbers, while an irrational number can't be written like that.

Also, the square root of a non perfect square is also irrational.

Here the options are:

5.73, ,√73, √40

Notice that neither of the square roots of non perfect square numbers, so these are irrational numbers.

In other hand, if we see the first one:

5.73

We can rewrite this as:

5.73 = 573/100

So this is a quotient of two integers, then this is a rational number, so this is the correct option.

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After 40min. water in both container A & B will be equal.

Let after 't' min. water in both the containers is same.

Water in Container A is 1000.75 ml & is draining at rate of 10.8ml/ min.

after 't' min. water will be = 1000.75 - 10.8t   .......(eq 1)

Water in Container B is 800.75 ml & is draining at rate of 5.8ml/ min.

after 't' min. water will be = 800.75 - 5.8t        ........(eq 2)

Now, we know that after 't' min. water in both container A & B is equal, so we can equate equation 1 with equation 2 and find out the value of 't' .

1000.75 - 10.8t = 800.75 - 5.8t

1000.75 - 800.75 = 10.8t - 5.8t

200 = 5t

t = 40 min.

Hence, after 40min. water in both container A & B will be equal.

What is a Container?

Something that can hold or move something is known as a container.

Eg- water, oil etc.

What is meaning of Draining Rate?

A channel or drain for water drainage.

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Answer:5x+22

there you gooo

Answer:

5x+ 45/2

Step-by-step explanation:

The Slope of the line is -3/2

By Substituting x=26

=1/9/8*26+8/3

=-3/2

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The inequality to describe the possible side length for the third side is 1 < x ≤ 19.

What is the inequality of a triangle?

According to the triangle inequality theorem, the sum of any two sides of a triangle is greater than or equal to the third side of a triangle. This statement can symbolically be represented as; a + b > c. a + c > b.

The triangle inequality tells that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

We have given,

Two sides of a triangle have lengths 9 and 10.

The third side is represented by x.

So by triangle inequality, we have the following inequality:

x ≤ 9 + 10

x ≤ 19

Also, the difference between the lengths of any two sides of a triangle is less than the length of the third side.

10 - 9 < x

1 < x

Hence, the inequality to describe the possible side length for the third side is 1 < x ≤ 19.

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Answer: 68600

hope it helps!

By solving a linear equation, it can be calculated that

Each club can order 21.1 cupcakes if they both have the same amount of

money to spend

What is a linear equation?

Equation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by an equal to sign

A one degree equation is called linear equation

Let the number of cupcakes ordered by each club be c

The band would like to order cupcakes from Walmart at a cost of $3.35 per cupcake and a $13.00 order fee

Total amount spent = $(13 + 3.35c)

The orchestra would like to order cupcakes from Publix at $2.90 each

and a $22.50 order fee

Total amount spent = $(22.5 + 2.90c)

By the problem,

The linear equation is

13 + 3.35c = 22.5 + 2.90c

3.35c - 2.90c = 22.5 - 13

0.45c = 9.5

c = 21.1

This solution is not viable as the number of cupcakes must be an integer not a decimal.

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Answer:

Step-by-step explanation:

the answer is 11/12

Answer: $16 = 4s + 3g

Step-by-step explanation:

s = shoes

g = games

we conclude at the 1% level of significance that the claim is true by accepting H₀

What is Hypothesis?

A hypothesis outlines your expectations for the results of your investigation. It is a speculative, untested response to your research question.

Given,

n = 81

x bar = 7

s= 2

Here, a doctor claims that people are atmost 6 pound over weight

H₀ : μ ≤ 6 versus

H₀ : μ > 6 versus

Now,

The Test Stastistic is

t = x bar - μ / s√n

t = 7-6/2√81

t = 4.5

let ∝ = 0.10, then p value = 0.000

p value >∝

yes, conclude the claim is true by accepting H₀

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Answer: D

Step-by-step explanation:

Given the tally marks its 16ths, and the point is on the 3rd tally so it would be 10-3/16 Hope this helps!

Answer:

a)   Number of laundry he can do with this box  = 78 laundries.b)   Price he paying for each load =  0.256

The length of the other leg is 12 inches.

What is the Pythagorean theorem?

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

The hypotenuse of a right triangle is the side opposite the right angle, and the legs of a right triangle are the two sides that are adjacent to the right angle.

If we know the length of the hypotenuse and one leg of a right triangle, we can use the Pythagorean theorem to find the length of the other leg.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

We can use this theorem to write the equation:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the legs.

In this problem, the hypotenuse is 13 inches and one of the legs is 5 inches. We can substitute these values into the equation to find the length of the other leg:

c² = a² + b²

(13)² = a² + (5)²

169 = a²+ 25

144 = a^2

a = 12

Hence, the length of the other leg is 12 inches.  

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The anticipated quantity of coupons as calculated from the data given is 1.6 .

We learn from the question that

The probability of a $10 voucher being redeemed via mail is p = 0.16.

n = 10 is the sample size.

In general, the projected number of coupons redeemed is represented numerically as

E(x) = np    [ of PDF ]

= 10 x 0.16

= 1.6

When data follows a normal distribution, the probability density function (PDF) and cumulative distribution function (CDF) assist us in determining probabilities and ranges of probabilities. The CDF is the PDF integration, from left to right. We may construct many forms of probability estimates from our normally distributed data using these two normal distribution functions.

The standard deviation is a technique for us to explain how "spread out" the data is - how far it "deviates" from the mean value. Both and are known as normal distribution parameters.

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Answer:

Step-by-step explanation:

so you don't understand at all

Answer:

a.+1,-1

b.+√13,-√13

c.no real solutions

d.no real solutions

Step-by-step explanation:

question no c&d has no real solutions but they have complex solutions

if you are not taught about complex numbers then the Answers to c&d are no real solutions but for complex solutions

c.+3i,-3i

d.+√5i,-√5i

Answer:

4,250

Step-by-step explanation:

If 4% of all fans were teenagers, and 100 divided by 4 is 25, simply math of 170 times 25 gives you 4,250

Therefore, the answer is 4,250

Answer:

Total number of people = 4,250

Step-by-step explanation:

4% of 4,250 = 170

The value of the shaded area from the rectangle ACDE is approximately 52.124 square centimeters.

In this problem we must calculate the shaded area of the section within the rectangle ACDE, this can be found by the subtracting the area of the region ABDE, which is the combination of the areas of the right triangle ABE and the arc BDE, whose formulas are shown below:

Triangle ABE

S = (1 / 2) · AB · AE

Arc BDE

S = (1 / 2) · α · ED²

Where α is the central angle, in radians.

Rectangle ACDE

S = ED · AE

If we know that AE = 20 cm, ED = 28 cm, α = π / 4 and AB = 20 cm, then the area of the shaded area is:

S = (28 cm) · (20 cm) - (1 / 2) · (π / 4) · (28 cm)² - (1 / 2) · (20 cm) · (20 cm)

S ≈ 52.124 cm²

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It will take 0.05 yards of fabric to make one flag.

Given is that a pep squad is making mascot flags. They used 1.5 yards each of crimson, gold, and navy fabric to make 90 flags.

Assume that the total fabric needed is [x] yards. So -

(1.5 x 3) yards is needed to make 90 flags.

4.5 yards is need to make 90 flags.

1 flag will need (4.5/90) yards or 0.05 yards of fabric is needed.

Therefore, it will take 0.05 yards to make 1 flag.

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From the given options, option 2. x= -8 is the correct option. Here, the x is change in height in inches so the, change in height is -8 inches.

A linear equation is simply an equation with the highest degree always being 1. The standard form of a linear equation in one variable is Ax + B = 0. x is a variable in this equation, and A and B are constants. A two-variable linear equation has the standard form Ax + By = C. The variables x and y are variables, their coefficients A and B are variables, and C is a constant.

Given, linear equation is

[tex]4(2x+1)=6x-12\\\\8x+4=6x-12\\\\8x-6x=-4-12\\\\2x=-16\\\\x=-8[/tex]

Hence, the x equals to -8.

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Answer: [tex]2^4 \times 5[/tex]

Step-by-step explanation:

[tex]80=2 \times 40\\\\80=2 \times 2 \times 20\\\\80=2 \times 2 \times 2 \times 10\\\\80=2 \times 2 \times 2 \times 2 \times 5\\\\80=2^4 \times 5[/tex]

Using the formula for the distance between two points and using the provided points, The error is missing a square root. The actual length is [tex]\sqrt{61}[/tex] units.

A line or line segment's length between two points along the line or line segment.

The required formula is:

[tex]d = \sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

(x1,y1)= (6,2)

(x2,y2)=(1,-4)

[tex]d = \sqrt{(1-6)^{2}+(-4-2)^{2}}[/tex]

[tex]d=\sqrt{25+36}[/tex]

[tex]d=\sqrt{61}[/tex] units.

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Using the formula for the distance between two points and using the provided points, The error is missing a square root. The actual length is  units.

What do you mean by distance?
Distance refers to the amount of space between two or more points, or the measure of how far apart two or more points are. It can be measured in various ways, including miles, kilometers, inches, centimeters, and more. Distance is often used to measure the length of a journey or the amount of space between two physical objects. It can also refer to the amount of time between two events, such as the distance between two birthdays. Distance can also be used to describe the relative or emotional separation between two people, such as the distance between a parent and a child.

What is the formula to calculate distance between two points?

The required formula is:

[tex]d =\sqrt{(x2-x1)^2 +(y2-y1)^3}[/tex]

(x1,y1)= (6,2)
(x2,y2)=(1,-4)

[tex]d = \sqrt{(1-6)^2 + (-4 -2)^2}[/tex]
[tex]d = \sqrt{25+36}[/tex]
[tex]d = \sqrt{61} units[/tex]

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The four letter code from the transformations is given as follows:

FB H.

The four letter code is obtained applying the transformations to the given points.

The coordinates of point 1 are given as follows:

(-4,2).

The transformation is a reflection over the x-axis, which has the rule given as follows:

(x,y) ->(x,-y).

Hence the coordinates of the image of point 1 are given as follows:

1'(-4,-2).

Meaning that the first letter is of F.

The coordinates of point 2 are given as follows:

(-2,3).

The transformation is a reflection over the y-axis, which has the rule given as follows:

(x,y) ->(-x,y).

Hence the coordinates of the image of point 2 are given as follows:

2'(2,3)

Meaning that the second letter is of B.

The coordinates of point 4 are given as follows:

(-1,2)

The transformation is a reflection over the line y = x, which has the rule given as follows:

(x,y) ->(y,x).

Hence the coordinates of the image of point 4 are given as follows:

4'(2,-1)

Meaning that the fourth letter is of H.

The third transformation is missing.

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The solution is 2670

The sum of the arithmetic sequence is given by S = 2670 where the first term is 2 and common difference is 6

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic sequence be = S

Let the number of terms be n = 30

Let the series be A = 2 , 8 , 14 , ..

The first term of the arithmetic sequence a = 2

Let the common difference of the series be d = second term - first term

The common difference d = 8 - 2 = 6

Now ,

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the equation , we get

S₃₀ = ( 30/2 ) [ 2 x 2 + ( 30 - 1 ) 6 ]

S₃₀ = 15 [ 4 + 29 x 6 ]

S₃₀ = 15 [ 4 + 174 ]

S₃₀ = 15 x 178

S₃₀ = 2670

Therefore , the value of S is 2670

Hence , The sum of the arithmetic sequence is given by S = 2670

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Answer:

15.1

Step-by-step explanation:

tan(angle) = opposite/adjacent

tan 37 = AB/20

AB = 20 x tan 37 = 20 x 0.754 = 15.08 or 15.1

XYZ is a scalene triangle, because each of the lengths of the sides are different.

YZ is 7 units in length.

XY is 6 units in length.

triangle XYZ has an area of 20 square units, because if you substitute the values into the formula ½ x length of the base x perpendicular height, you get 20 square units.

Answer:

HOPE IT'S HELPFUL

Step-by-step explanation:

XYZ is a scalene triangle

The sequences of transformations that could be applied to the parent function are Reflected over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units i.e. Option (4).

What is transformation?

An operation that manipulates a polygon or other two-dimensional object on a plane or coordinate system is known as a transformation. Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

The two-dimensional shape without any transformations is known as a preimage or inverse image. The transformed figure is shown in the image.

Given, the parent function, f(x) = x

From the given graph, the equation will be

y = -2x + 6

Then, the transformation will be

Shifted up 6 units

Vertical stretch by a factor of 2

Reflected over the y-axis

Hence, the required answer is Option 4.

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a) The value of P(Y∩P) =0.23

b) The value of (Y|P) = 0.34

c)  The value of (P|Y) = 0.27

d) The value of P(Y/P') = 0.68

What is Venn diagram?

A Venn diagram can also be referred to as a set diagram or a logic diagram that illustrates various set operations including the intersection, union, and difference of sets. Subsets of a set are also represented using it. A subset of whole numbers, which is a subset of integers, is a collection of natural numbers, as an example.

Given that there are two events Y and P.

P(Y) = 0.57

P(P) = 0.5

P(Y∪P) = 0.84

The formula of intersection is  P(Y∩P)  = P(P) + P(Y) - P(Y∪P)

Putting P(Y) = 0.57, P(P) = 0.5, P(Y∪P) = 0.84

P(Y∩P)  = 0.5 + 0.57 - 0.84

P(Y∩P) = 0.23.

b)

P(Y|P) = P(Y) - P(Y∩P)

P(Y|P) = 0.57 - 0.23

P(Y|P) = 0.34

c)

P(P|Y) = P(P) - P(Y∩P)

P(P|Y) = 0.5 - 0.23

P(P|Y) = 0.27

d) P(Y/P') = P(Y∩P') / P(P')

P(Y/P') = P(Y|P)/[1 - P(P)]

P(Y/P') = 0.34/(1- 0.5)

P(Y/P') = 0.68

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