Select the correct answer.
How many solutions does this system of equations have?
y = 2x + 5
y = x^3 + 4x^2 + x + 2

A. No solution
B. 1 solution
C. 2 Solutions
D. 3 Solutions

On solving the provided question we can say that - in fractions 2/3 and 2 we can do 2/3X2 = 4/3

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

here,

in the given fractions 2/3 and 2/1,

we can do that -

2/3 X 2/1 = 4/3

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The number of feet is dependent on the number of yards. The table is completed as shown in the attachment.

A variable whose value can be determined only if another variable's value is known is called a dependent variable. Thus the value of the variable depends on another variable.

In the given question, the number of feet can be known when that of yards is multiplied by a multiplicative factor. The value of the factor can be determined as;

multiplicative factor = 15/ 5

                                      = 3

So that feet is related to that of yards by this expression;

feet = multiplicative factor * yards

Thus,

when yards is 2, then;

feet = 3 * 2

       = 6

when feet = 12

12 = 3 * yards

yards = 12/ 3

         = 4

Thus the complete table is herewith attached to this answer for more clarifications.

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Answer:

I think the answer is 3:1. found it by counting the no. of boxes

Answer:

375

Step-by-step explanation:

- 150 rooms total unoccupied

- 3/5 occupied

this means that 150 rooms is 2/5 of the total, and 150 is 2/5 of 375, so 375 total

Answer:

375

Step-by-step explanation:

First of all, let's consider the following points;

●3/5 of the rooms are occupied

●23 rooms are being reserved

●127 rooms are being remodeled

The keyword is the 1st point.

If 3/5 is occupied, then that means 5/5 or 5 parts are the fraction of all the hotel rooms.

So,

127+23= 150 rooms

5/5 - 3/5 = 2/5

Now let's apply the direct proportion rule;

2/5= 150

1/5= 150÷2= 75

5/5 (total)= 75*5=375

If the whole fraction things make you confused, here's an easier way;

2 parts= 160

1 part= 150÷2=75

5 Parts = 75*5= 375

Hope it helps :-)!

Time taken to travel from North Carolina to Florida driving an average speed of 70 mph is 7 hours.

Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance.

Given,

Time taken to travel = 9hours

average speed =55 mph

distance between North Carolina to Florida = speed x distance

distance= 55 x 9

distance= 495 miles

if driving at speed of 70 mph

time taken = distance/speed

time taken=495/70

time taken=7 hours

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Answer:

1

Step-by-step explanation:

2a +3b

let a=-4 and b=3

2(-4) +3(3)

Multiply

-8 +9

Add

1

Answer:

1,705 elk

Step-by-step explanation:

7,750 / 50 =  155 groups of elk

155 groups x 11 per group = 1,705 elk.

Step-by-step explanation:

there are a few things from school everybody has to burn into their brains for life. one of them : Pythagoras for right-angled triangles :

c² = a² + b²

c is the Hypotenuse (the triangle side opposite of the 90° angle), a and b are the triangle legs.

now, it depends on what you teacher agreed with you regarding naming the sides of such a triangle.

sometimes "base" is the Hypotenuse (baseline), sometimes it is one of the legs, and then the height is the second leg (as the legs are standing at a 90° or right angle at each other).

we have to assume the second one, as for the first one we have not enough information to solve the question (because with just a given Hypotenuse and the height to the Hypotenuse we can draw infinitely many different triangles with different perimeters).

so, we have

Hypotenuse² = 24² + 7² = 576 + 49 = 625

Hypotenuse = sqrt(625) = 25 m

the perimeter of the triangle is then

25 + 24 + 7 = 56 m

Answer:

ok so the answer is 191.4250159

Step-by-step explanation:

you use this C = 2√πA to solve. I hope this helps!

Answer:

B. 10

Step-by-step explanation:

To find the answer we would plug each given number into x to see if it makes the equation true

A. 2(5) = 20

    10 [tex]\neq[/tex] 20

B. 2(10) = 20

    20 = 20

C. 2(20) = 20

    40 [tex]\neq[/tex]20

As you can see, the only answer that makes the equation 2x=20 true, is answer B

Answer:

Answer:

area of circle = πr²

22/7×8

25.14m² is the answer of your question

hope it is helpful to you

The option a "The distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance." is correct.

In the given question, we have to write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.

As we know that the distance formula is the multiplication of of speed and time.

So, the distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.

So the option a is correct.

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The complete question is:

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hours while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.

a. The distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.

b. The distance traveled is three times the number of hours I have hiked. The independent variable is distance. The dependent variable is hours.

c. The hours I have hiked is three times the distance. The independent variable is distance. The dependent variable is hours.

d. The hours I have hiked is three times the distance. The independent variable is hours. The dependent variable is distance.

The domain and scope of the identity function are the same. Equation for the identity function is  f(x) = x, or y = x.

An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable). A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.

identity function are the same.

Equation for the identity function is

f(x) = x, or y = x.

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Solving provided question, we can say that the given linear equation is  y = -2x + 4 and -x -x +3(-2x + 4 ) + 9 = x = 7/3

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

the given linear equation is

y = -2x + 4 and -x +3y = -9

now,

-x +3(-2x + 4 ) + 9

-x - 6x - 12 +9 = 0

-7x = -3

x = 7/3

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The triangle is an acute triangle using the Pythagorean theorem.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

The sides of a triangle are 68, 61, and 46.

Note:

When the sum of the squares of two sides of a triangle is equal to the square of the hypotenuse, the triangle is a right triangle.

When the sum of the squares of two sides of a triangle is less than the square of the hypotenuse, the triangle is an obtuse triangle.

When the sum of the squares of two sides of a triangle is greater than the square of the hypotenuse, the triangle is an acute triangle.

Now,

68² = 4624

46² = 2116

61² = 3721

We see that,

We can never have a right triangle or an obtuse triangle.

The possible combination.

61² + 68² > 46²

61² + 46² > 68²

68² + 46² > 61²

Thus,

The triangle is an acute triangle.

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Answer:

79

Step-by-step explanation:

3x +16 + 5x - 4 = 180

8x +12 = 180

8x = 180 -12

8x = 168

x=21

3*21+16= 79

Answer: 8:15pm

Step-by-step explanation:

9+6=15 +105 = 120, 120/60=2 hours (total duration), 6:15 + 1 hour = 7:15 + 1 hour = 8:15pm

We are given that A bird flew from the ground onto a tree branch 5 feet above the ground.

We are supposed to find What could the bird do next that would make this situation a model of combining a number and its additive inverse

Additive inverse - What you add to a number to get zero is additive inverse.

The negative of a number.

Now we are told  What could the bird do next that would make this situation a model of combining a number and its additive inverse

Since it already flew 5 feet above the ground .

Additive inverse of 5 feet is -5 feet

So, to make the situation of combining a number and its additive inverse

Bird has to flew 5 feet return to the ground i.e.-5 feet

So, a model of combining a number and its additive inverse = 5+(-5)

= 0.

Fly down 5 feet and return to the ground.

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Answer:

Fly down 5 feet and return to the ground.

Step-by-step explanation:

have a nice day.

Answer: not enough to answer

Answer:

1,282.2 m³

Step-by-step explanation:

We'll use the formula 1/3*(B*h)

First, you have to find the area of the base

formula: πr²

radius: 7

7*7= 49

49*3.14=153.86

Now, multiply 153.86 by 25 (the height)

153.86*25= 3,846.5

Lastly, divide 3,846.5 by 3 and get 1,282.2 rounded

Answer:

C. 1

Step-by-step explanation:

I got this right on my test

Answer:

A mi encantar el arte.

A mis padres interesar el traje.

A ti importar las botas.

A Emelio encantar los deportos.

A Nosotros interesar viajar.

Answer:

Alex deleted 37.5 selfies

Step-by-step explanation:

Let X be the number of selfies that Vic deleted.

Alex deleted 3X selfies.

After deleting selfies, Alex has 90-3X selfies left.

Vic has 75-X selfies left.

Since Alex has half as many selfies as Vic, we can set up the equation: 90-3X = (75-X)/2

Multiplying through the parentheses on the right side, we get: 90-3X = 75-X/2

Combining like terms, we get: 2X = 15

Dividing both sides by 2, we get: X = 7.5

Since X represents the number of selfies that Vic deleted, Vic deleted 7.5 selfies.

Since Alex deleted 3 times as many selfies as Vic, Alex deleted 37.5 = <<37.5=22.5>>22.5 selfies.

The number of selfies deleted by Alex is 51.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that Alex took 90 selfies and Vic took 75 selfies. Today, they each decided that some of these selfies were not very good and deleted them. Alex deleted three times as many selfies as Vic. Now, Alex has half as many selfies as Vic.

Let Vic deleted x selfies and number of selfies deleted by Alex is 3x,

Therefore,

Since, Alex has half as many selfies as Vic, we can set up the equation: 90-3x = (75-x)/2

180 - 6x = 75 - x

5x = 105

x = 17

3x = 51

Hence, the number of selfies deleted by Alex is 51.

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Answer:

4/8
3/8 + 1/8 = 4/8

Answer:

Step-by-step explanation:

x = 1/2 ( arc(SF) + arc(RQ))

ARC SF = 50

Arc RQ (the large one ) = 200

Large Arc RQ = 200

Arc SF = 50

x = 1/2 (50 + 200)

x = 1/2 250

x = 125

Answer:

where are the angles or image

4 is the additive inverse of -4.

              OR

The opposite of 4 is -4, or negative four.

Now, According to the question:

Opposite numbers:-

Every number has an opposite. In fact, every number has two opposites: the additive inverse and the reciprocal—or multiplicative inverse. Don't be intimidated by these technical-sounding names, though. Finding a number's opposites is actually pretty straightforward.

If a number is added to its additive inverse, the sum of both the numbers becomes zero.

For any given number, the additive inverse is a number or a value which when added to the original number results in zero.

Mathematically: a + (-a) = 0

So here, 'a' and '-a' are the additive inverses of each other.

Therefore, for 4, the additive inverse is 4 = -4

Thus, 4 is the additive inverse of -4.

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The polynomial 4 2x3 is a degree 3 polynomial, also known as a cubic polynomial.

Polynomial is an expression consisting of variables, constants, and coefficients. It is an algebraic expression that can contain exponents, fractions, multiplication, addition, and subtraction. Polynomials are used to model many real-world situations, such as the volume of a cylinder or the area of a triangle. The degree of the polynomial is determined by the highest exponent of the variables in the expression. Polynomials can be divided, factored, and manipulated using the rules of algebra.

It consists of three terms and its general form is

ax³ m + bx² + cx + d, where a, b, c, and d are constants

and x is the variable. In this case,

a = 4, b = 2, c = 0 and d = 0,

so the polynomial is 4x³ + 2x².

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Answer:

78.57cm²

Step-by-step explanation:

English

We need to find the area of the circle.

The area of the circle is given by pie r². We know the value of pie and r is given . Putting the values

Area= pie r².

Area= 22/7* 5² =  22/7*25= 78.57cm²

We are not bothered by the area of the rhombus or the rhombus because we need to find the area of the circle.

Area of the rhombus is given by the product of the length of diagonals divided by 2. So if the rhombus lies at the center the length of each of its diagonal will be 10 cm. Because the length from the center of the circle to any point on the circle is equal to its radius. And the diagonal is formed by 2 radii.

Area of rhombus= 10*10/2= 50 cm²

Area of the circle excluding the area of the rhombus= 78.57- 50 = 28.57 cm²