What is the solution of the system of equations y =- 2x 8 y x 4?

[tex]-7x < 35[/tex]

Divide both sides by -7:

[tex]\dfrac{-7x}{-7} < \dfrac{35}{-7}[/tex]

Since we are dividing by a negative number, the sign will reverse.

[tex]\fbox{x} > \fbox{-5}[/tex]

The solution to the given inequality is x > -5 which represents a set of all real numbers x that are greater than -5.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question, as follows:

-7x < 35

To solve the inequality -7x < 35, we first need to isolate the variable (x) on one side of the inequality.

We will divide both sides of the inequality by -7 (since -7 is being multiplied by x on the left side).

However, when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality symbol. So the inequality becomes:

x > -5

This inequality can be read as "x is greater than -5." It is the solution set of all real numbers x that is greater than -5.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

The mean of the walleye 'W' for the given number of walleye and its probability to represent that 30% chances are of walleye is equal to 1.4.

As given in the question,

Let 'W' is the random variable represents the number of walleye.

'P(W)' represents its probability

The values are given as follow:

W      :        0                        1                       2

P(W)  :        0.09                0.42                  0.49

Mean of the walleye 'W' is given by :

= W₁P(W₁) + W₂P(W₂) + W₃P(W₃)

= ( 0 ×  0.09 )  + ( 1 × 0.42 ) + ( 2 × 0.49 )

= 0 + 0.42 + 0.98

= 1.4

Therefore, the mean of the walleye 'W' for the given number of walleye and its probability is given by 1.4.

The above question is incomplete , the complete question is :

Eva loves to go fishing. Each time she catches a fish, there is a 70% chance that it is a northern pike and a 30% chance it is a walleye. Let W be the random variable that represents the number of walleye Eva gets

if she catches 2 fish.

W      :        0                        1                       2

P(W)  :        0.09                0.42                  0.49

Calculate the mean of W.

Learn more about mean here

brainly.com/question/30112112

#SPJ4

The number of seeds per square foot is the variable that explains the variation in the yield of the crop in pounds per square foot.

The explanatory variable for this relationship is the number of seeds per square foot. The number of seeds per square foot is the variable that is being manipulated or changed by the farmers in order to observe the effect on the yield of the crop in pounds per square foot.

The farmers observed that the yields were the smallest when the number of seeds per square foot was either very small or very large, this means that there is an optimal number of seeds per square foot that yields the highest crop.

So, the number of seeds per square foot is the variable that explains the variation in the yield of the crop in pounds per square foot.

To learn more about the variable, visit:

brainly.com/question/29583350

#SPJ4

Answer:

0.28

Step-by-step explanation:

1% = 0.01

0.01 × 28 = 0.28

Multiplying the  second equation by -4 eliminates the x terms when adding the first equation.The second equation is 4x + 5y = -8

In order to eliminate the x terms when adding the first equation, you need to multiply the second equation by -4. The formula and calculation steps are as follows:

Formula:

Equation 1 + (-4 x Equation 2)

4x + 5y = -8

-4(4x + 5y) = -4(-8)

-16x -20y = 32

Adding the two equations together gives:

0x + 25y = 24

Therefore, multiplying the second equation by -4 eliminates the x terms when adding the first equation.

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ4

The actual length of the car based on the model will be 350 inches.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

Since the ratio of the model car was 2:35. If the model is 20 inches long, the actual length of the car will be:

= 20 ÷ 2/35

= 20 × 35/2

= 350 inches.

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

Complete question

The ratio of the model car was 2:35. If the model is 20 inches long. then what would be the actual length of the car??

Answer:  A

Step-by-step explanation:  They both go up but they have diffrent patterns

hopes this helps any

Answer:

A.

Step-by-step explanation:

the 'x' slot is going up two and the 'y' slot is going up one every change.

The money invested by Phyllis with simple interest rate 3 1/2% and 3% per year is given by $7500 , and $3,000 respectively.

As given in the question,

Total amount with Phyllis is equal to $10,500

Let 'x' be the portion of Phyllis earning invested with 3 1/2% per year simple interest rate

Then $( 10,500 - x ) invested by Phyllis with simple interest rate 3% per year

Total interest earned by the investment = $352.50

0.035x + 0.03( 10,500 - x ) = $352.50

⇒0.035x + 315 - 0.03x = 352.50

⇒0.005x = 352.50 - 315

⇒0.005x = 37.5

⇒x = $7500

and $( 10,500 - x ) = $( 10,500 - 7500 )

                              = $ 3,000

Therefore, the amount of invested with simple interest rate 3 1/2% per year and 3% is equal to $7500 and $3,000 respectively.

Learn more about simple interest rate here

brainly.com/question/7279636

#SPJ4

The upper bound and lower bound of a using the equation will result to

upper bound value 136015.499

lower bound value 136014.500

Evaluating the given expression a = b + 2c

where

b = 15 to 2 significant figures

c = 68 000 to 2 significant figures

solving for a

a = b + 2c

a = 15 + 2(68000)

a = 136015

The bound values

upper bond value is the largest possible vale of a

upper bond value = 136015.499

lower bound value is the lowest possible value of a

lower bound value = 136014.500

Learn more about bound values at:

https://brainly.com/question/26155120

#SPJ1

The total amount of solid sphere chocolate in the box is 1695.6 cubic centimeters.

The space occupied within an object's borders in three dimensions is referred to as its volume.

The volume or the space inside the borders of the sphere is given by the formula:

[tex]V = \frac{4\pi r^3}{3}[/tex]

Given that the diameter is 6cm, the radius r = 3cm.

Substituting the value of radius in volume we have:

[tex]V = \frac{4 (3.14)(3)^3}{3}[/tex]

[tex]V= 113.04[/tex]

The box contains 15 candies hence the total volume will be:

V = 15 * 113.04

V = 1695.6 cubic centimeters.

Hence the total amount of chocolate in the box is 1695.6 [tex]cm^3[/tex].

Learn more about volume here:

https://brainly.com/question/1578538

#SPJ4

Reflect it across the x-axis, then translate it up 6 units and left 1 unit before reflecting it across the y-axis.

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms include 2, 5, and 8. Some sequences can be made endlessly long by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the series. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it has pieces (also called elements or terms). The total, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more objects in a logical order.

given

Δ DOG AND ΔCAT

According to Chanel, the series of transformations that maps triangle ABC onto triangle DEF is as follows:

Reflect it across the x-axis, then translate it up 6 units and left 1 unit before reflecting it across the y-axis.

To know more about sequence visit:

https://brainly.com/question/21961097

#SPJ1

Answer:

it looks like a reflection or translation but my gut is saying translation

In one min Charlie can read is [tex]2\frac{1}{7}[/tex] pages at a constant rate.

A single unit's value may be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. We typically utilize this technique for math computations.

In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or less quantities are subsequently determined. This approach is known as the unitary method for this reason. Due to the fact that they generate two distinct sorts of variations, there are two different types of unitary approaches.

In [tex]\frac{2}{3}[/tex] min Charlie can read [tex]1\frac{3}{7} = \frac{10}{7}[/tex] pages

In one min Charlie can read is: [tex]\frac{10}{7}*\frac{3}{2} = \frac{30}{14} = 2\frac{2}{14} =2\frac{1}{7}[/tex]

To learn more about Unitary Method refer to:

brainly.com/question/8726057

#SPJ1

Answer:

1,520 pounds

Step-by-step explanation:

40x 38 = 1520

Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Area = length x breadth.

Here,

Given : A triangle land which has

height = 2miles

and base = 1.5+ 1.5 = 3 miles

Thus,

To find the area of triangle :

=> Area = 1/2*b*h

=>Area = 3*2/2

=> Area = 3 miles square

Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.

To know more about area, visit

brainly.com/question/27683633

#SPJ1

Answer:

I'm pretty sure the answer for this is 28 :))

The degree of polynomial in 5x³ 4x² 7x is 3, since the highest power of variable is 3.

The degree of polynomials, which determines the maximum number of solutions a function could have and how frequently a function will cross the x-axis on a graph, is one of the key ideas in mathematics. Polynomials are also important because they help us understand how functions can be represented mathematically. In the equation involving polynomials, it has the highest exponential power.

In a polynomial equation, a variable's greatest power is its degree. Only the terms with variables are taken into consideration when calculating a polynomial function's degree. The polynomials degree can be determined by looking at the variable term's highest exponential power.

Learn more about polynomial's degree

https://brainly.com/question/29195568

#SPJ4

If Imani was assigned to make 64 cookies for the bake sale. If Imani made 25% more than they were assigned. The number of cookies that were left after the bake sale is: 8.

Number of cookies  sold:

Number of cookies  sold = 0.90 × [(1+.25)×64]

Number of cookies  sold = 0.90 × [(1.25)×64]

Number of cookies  sold = 0.90 × 80

Number of cookies  sold = 72

Number of cookies left:

Number of cookies left = 80 - 72

Numbers of cookies left  = 8

Therefore the number of cookies left is 8 cookies.

Learn more about number of cookies left here:https://brainly.com/question/23722859

#SPJ1

The equation the line is, y-3x=1

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-1,-2) and, (3,10)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y+2)/(x+1)=(10+2)/(3+1)

=>y+2=3x+3

=>y-3x=1

Hence, the required equation is,  y-3x=1

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

#SPJ1

Answer:

A. The car spends 2.05 hours going 55 miles per hour

B. The car spends 1 hour going 35 miles per hour

C. The trip takes 3.6 hour

Step-by-step explanation:

The equation is

55x+35y=200

Let's solve A

We know the car spends 2.5 hours going 35 miles per hour on the trip, so we put 2.5 in for y and solve for x

55x+35(2.5) = 200

55x + 87.5 = 200

55x = 112.8

x = 2.05 hours going 55 miles per hour

So, the car spends 2.05 hours going 55 miles per hour

Let's solve B

55(3)+35y=200

165 + 35y = 200

35y = 35

y = 1 hour

So, the car spends 1 hour going 35 miles per hour

Let's solve C

We know the car spends no time going 35 miles per hour, so we put 0 in for y and solve for x

55x+35(0)=200

55x = 200

x = 3.6  hours

So, the trip takes 3.6 hour

In Python an operator -= is subtracts the value on its right to the variable and assigns the result to the variable on its left.

As we know an operator is nothing but a symbol that represents a mathematical or logical process.

We know that in Python the operator -= provides a way to subtract a value to an existing variable and assign the new value back to the same variable.

If m -= n

This means,  the variable m the left side is getting added to the value on the right side (n), and the result is then reassigned to the variable on the left.

i.e., m = m - n

-= is an assignment operator.

Learn more about symbol here:

brainly.com/question/17310967

#SPJ4

The goal of elimination is to remove one of the variables by combining the equations together.

Let's say we have an equation with 3 variables:

a + b + c = 0

The goal of elimination is to remove one of the variables by combining the equations together.

Multiply the first equation by a number, n, such that nb + nc = 0

For example:

Let n = -2

-2b + -2c = 0

Add the two equations:

a + b + c = 0

-2b + -2c = 0

a - b = 0

Solve for b:

a - b = 0

b = a

Therefore, the final equation is:

a + a + c = 0

2a + c = 0

Learn more about elimination here:

https://brainly.com/question/29264047

#SPJ4

Answer: 60

Step-by-step explanation:

If you subtract how much money you already had(54.75) from what you spent(79.99) you get 25.24. You then add 25.24 to the koney you had left(34.76) to get you answer of 60

x+y=10 and ax+0.50y=25 are the system of equations to compute the cost of each mechanical pencil.

Two or more expressions with an Equal sign is called as Equation.

Given that Mr. Spears was purchasing supplies for his math classroom.

He had $25 to spend.

Mechanical pencils and erasers come in bundles of 10

Let x represents the Mechanical pencils

y represents the erasers

x+y=10

y=10-x

Each eraser costs $0.50

ax+0.50y=25

a is the cost of the each mechanical pencil.

Hence, x+y=10 and ax+0.50y=25 are the system of equations to compute the cost of each mechanical pencil.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Area of quadrilateral is 24 units and it is known as parallelogram.

A point in the plane is one-to-one connected to an ordered pair of real numbers (x, y) using point plotting. The 2-dimensional Cartesian coordinate system is as a result obtained.

A parallelogram results from plotting the four points.

the lower side is between (-6,-3) and (-2,-3)

0 to 3 is at the top (4,3)

As a result, the base length is 4 because the distance

between (-6,-3) and (-2,-3) = 4

the separation between (0,3) and (4,3)

The sides are the lines that connect (0,3) to (-6,-3)

along with (4,3) to (-2,-3).

Vertical height ranges from -3 to 3 or 6.

The parallelogram's area is given by base*height = 4(6) = 24.

To know more about parallelogram visit:-

brainly.com/question/29147156

#SPJ1

Answer:

Step-by-step explanation:

In 12 hours, the train will travel 487.5 miles

8/325=40.625

40.625 x 12 = 487.5

Answer: 2.4

Step-by-step explanation:

we start from the right most digit, that is 8. Since 8 is greater than 5, we add 1 in the number before 8, that is 3. When we add 3 and 1 we get 4. This way, we get our answer 2.4 , which is correct to 2 significant figures.

hope that helps...

The difference in ages of Marcelle and Megan is 95/12 as an improper fraction and as a mixed number is 7 whole number and the fraction 11/12.

We shall convert the fractions to have similar denominators and simply apply subtraction for the numerators as follows:

Marcelle's age = 15 whole number, 1/2

Marcelle's age = 31/2

Megan's age = 7 whole number, 7/12

Megan's age = 91/12

LCM of 2 and 12 is 12 so;

Marcelle's age = 31/2 × 12/12

Marcelle's age = 186/12

difference in their age (186 - 91)/12

difference in their age = 95/12

Therefore, the difference in the ages of Marcelle and Megan is the fraction 95/12 or as a mixed number is 7 whole number and the fraction 11/12

Know more about fraction here:https://brainly.com/question/11562149

#SPJ1

Really sorry, misunderstood the equation. This is the answer though.

Answer:

24

Step-by-step explanation:

We have our function g(x) = [tex]x^{3}[/tex] - x

Now, we will substitute 3 in for x, giving us:

[tex]3^{3} - 3[/tex]

Now, we will simplify our exponent, giving us:

27 - 3 = 24

So your answer is 24.

Hope this helped!