This expression gives the solutions to which quadratic equation?
A. 3x^2+4=x
B.x^2+4=3x
C.x^2+4=-3x
D.4x^2+3=x
E. 3x^2+4=-x

An interval on the graph above that is increasing include the following: B. -2 < x < 2.

For any given function, y = f(x), if the output value (range) is increasing when the input value (domain) is increased, then, the function is generally referred to as an increasing function.

On the other hand (conversely), if the output value (range) is decreasing when the input value (domain) is increased, then, the function is generally referred to as a decreasing function.

By critically observing the graph above, we can reasonably infer and logically deduce that it is increasing over the interval -2 < x < 2.

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Answer:

The car can travel 30 miles per 1 gallon.

The lower bound for the given numbers is 41.66. the maximum: 42.19

The top and lower boundaries of a rounded number are as follows: Determine the claimed level of accuracy's place value. Multiply this place value by two. Add this amount to the given value to determine the upper bound, and subtract this amount to determine the lower bound. The maximum and smallest values that a number may have before it was rounded are known as upper and lower limits. They are also known as accuracy limits.

The lower: a=49.35. b=7.69

so the lower bounds is:

a-b=49,35-7.69 =41.66 = a=49.49.34.

b=755 the upper = a= So the upper bounds is = a-b= 42.79.

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To determine how many solutions an equation has, you must first solve the equation. If the equation has an exact solution, then it has exactly one solution.

To determine how many solutions an equation has, you must solve the equation. If you can solve the equation exactly, then it has one solution. However, if the equation has two different solutions, then it has two solutions. This means that the equation has two different values that can make the equation true. On the other hand, if the equation does not have any solutions, then it has no solutions. This means that the equation does not have any values that can make it true. Therefore, to determine how many solutions an equation has, you must solve the equation and check if it has one, two, or no solutions.

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If there are 1410 students and teachers together, then there are 60 teachers present.

Relationships that always have the same ratio are said to be proportional. For instance, the number of trees in an orchard and the number of apples in a harvest of apples are determined by the average number of apples per tree. A linear relationship between two numbers or variables is referred to as proportional in mathematics. When the first quantity doubles, the other number does as well. When one of the variables is reduced to 1/100th of its previous value, the other also decreases. If two quantities are proportional, it means that when one rises, the other rises as well, and the ratio between the two quantities remains constant throughout all values. The diameter and circumference of a circle provide an example.

given

total=1410

students=45x

teachers=2x

2x + 45x = 1410

47x = 1410

x = 3

students=45x

=45×30

=1350

teachers=2x

=2×30

=60

If there are 1410 students and teachers together, then there are 60 teachers present.

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Yes, Cassie has enough fabric to make 10 bows. 17/20 yard of fabric is equal to 1.7 yards, and 1/12 yard is equal to 0.083 yards. When 1.7 yards is multiplied by 0.083 yards, the result is 0.14 yards, which is more than enough to make 10 bows.

1. Convert 17/20 yard of fabric to yards:

17/20 yard = 17/20 x 1 yard = 1.7 yards

2. Convert 1/12 yard to yards:

1/12 yard = 1/12 x 1 yard = 0.083 yards

3. Calculate how much fabric is needed to make 10 bows:

1.7 yards x 0.083 yards = 0.14 yards

4. Determine if Cassie has enough fabric:

Yes, Cassie has 0.14 yards which is enough to make 10 bows.

Yes, Cassie has enough fabric to make 10 bows. 17/20 yard of fabric is equal to 1.7 yards, and 1/12 yard is equal to 0.083 yards. When 1.7 yards is multiplied by 0.083 yards, the result is 0.14 yards, which is more than enough to make 10 bows.

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The value of f which satisfies the given equation 3f + 5 = 32 is 9. The correct option is C.

Given question is incorrect

Correct question :

Which value of f makes 3f+5=32 a true statement?

a. f=6

b. f=8

c. f=9

d. f=12

Given data :

It is required to find the value of f for which the equation 3f + 5 = 32 is satisfied.

Use simple rules of algebra to get the value of f which satisfies the given equation,

3f + 5 = 32

3f = 32 - 5

3f = 28

f = 28 / 3 = 9

Therefore, the value of f which satisfies the given equation 3f + 5 = 32 is 9 is correct option.

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Answer:

  County B

Step-by-step explanation:

You want to know the greater population, given a county's area and population density:

The population is the product of area and density:

  [tex]P_A=(108\text{ mi}^2)\dfrac{36\text{ people}}{\text{km}^2}=(108\cdot36\text{ people})\left(\dfrac{\text{mi}}{\text{km}}\right)^2\\\\P_B=(36\text{ km}^2)\dfrac{108\text{ people}}{\text{mi}^2}=(108\cdot36\text{ people})\left(\dfrac{\text{km}}{\text{mi}}\right)^2[/tex]

To determine which product is greater, we simply need to know the relationship between kilometers and miles:

  1 mi ≈ 1.609 km

The factor (km/mi) is greater, so the population of County B is greater.

__

Additional comment

There are 1.609 km/mi, and about 0.6214 mi/km. The population of County B is about 6.7 times the population of County A.

County A has about 1501 people; County B has 10,070 people.

When the parallel lines are cut by a transversal, the values for the measurement of ∠5 and ∠7 is 99° each.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible.

Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.

In the given diagram the parallel lines are cut by a transversal.

The measure of angle 4 is, m∠4 = 81°.

It is known that each pair of interior angles on the same side of a transversal that cuts two parallel lines are supplementary, or they add up to 180 degrees.

So, m∠4 + m∠5 = 180°

81° + m∠5 = 180°

m∠5 = 180° - 81°

m∠5 = 99°

Now, as it can be seen in the image ∠5 and ∠7 are vertically opposite angles.

So, they will be congruent or equal to each other.

So, it is obtained that -

m∠5 = m∠7

m∠7 = 99°

Therefore, the measures of angles are m∠5 = 99° and m∠7 = 99°.

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The modal net incomes (in $millions) of a sample of steel fabricators will be b. $86

The goal of measures of central tendency, also known as measures of location, is to identify the data set's most "representative value." The mode, mean, and median are the three values listed here.

A data set's mode is its most frequent value. The mode of a distribution of probabilities has the highest probability. As a result, the mode can be quickly determined for a small number of observations. Any number of modes, or none at all, may exist for a given set of values. So, the value that will be sampled with the highest probability is the mode.

Note that the full question is:

The net incomes (in $ millions) of a sample of steel fabricators are: $86, $67, $86, $67, $86 and $85. What is the modal net income?

a. $85

b. $86

c. $85.5

d. $67

e. None of the above.

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Answer:

Step-by-step explanation:

It is 48.

Answer:

In 2014, the population of China was 1,356 million people

No, the quadratic form is not the same as the factored form of a quadratic equation.

A quadratic function can usually be represented by many equivalent expressions. For example, a quadratic function might be defined by f(x) = x² + 3x + 2. The quadratic expression f(x) = x² + 3x + 2 is called the standard form, the sum of a multiple x² of and a linear expression (3x + 2 in this case).

In general, the standard form is  ax² bx + c

We refer to 'a' as the coefficient of the squared term 'x²', 'b' as the coefficient of the linear term 'x', and 'c' as the constant term.

The function 'f' can also be defined by the equivalent expression (x +2)(x + 1). When the quadratic expression is a multiplication of two factors where each one is a linear expression, this is called the factored form.

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The amount of cough syrup the pharmacist have left is 1600 millilitres.

The pharmacist has a 2.8 L bottle of cough syrup. She fills a bottle that is 1200 ml . The amount of cough syrup the Pharmacist has left can be calculated as follows:

Let's convert litres to millilitres

Therefore,

1 litres = 1000 millilitres

2.8 litres = ?

cross multiply

Therefore,

amount of syrup in millilitres = 2.8 × 1000

amount of syrup in millilitres = 2800 millilitres.

Therefore,

amount of cough syrup the pharmacist has left = 2800 - 1200 = 1600 millilitres.

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A qualifying child or dependent is typically required to be eligible for head of household filing status.

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The length of the diagonal is 17.

Given that, In quadrilateral ABCD, sides AB and BC both have a length of 10, and sides CD and DA both have a length of 17.

The measure of ∠ADC = 60°

AD = CD ( according to the question)

So, Δ ABC is an isosceles triangle with ∠DAC = ∠DCA.

According to the image,

Angles in a triangle add up to 180°, and since ∠ADC = 60°, the other two angles are also 60°.

And Δ ADC is an equilateral triangle.

Therefore,  AC = DA = 17

S0, the diagonal of quadrilateral ABCD is 17.

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Answer:

when doing my math the answer I got was 1/2 hope it helps

The equation of line that passed through the points (3, 6) and (8, 4) is 5y = -2x + 40.

In the given question, we have to find the equation of a line that passed through the points (3, 6) and (8, 4).

The point-slope approach is typically used when two points that sit on a specific line are specified.

A line's equation is written as y - y(1) = m(x - x(1)), where y(1) is the Y-axis coordinate, m is the slope, and x(1) is the X-axis coordinate.

Firstly we find the value of m using the formula

m = [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]

From the given points x(1) = 3, y(1) = 6, x(2) = 8, y(2) = 4.

Now putting the value

m = [tex]\frac{4-6}{8-3}[/tex]

Now solving

m = [tex]-\frac{2}{5}[/tex]

Now we finding the equation of line. We can use any one point in the given points.

Now taking the points (3, 6), x(1) = 3 and y(1) = 6

Now putting the value in equation y - y(1) = m(x - x(1)).

y - 6 = [tex]-\frac{2}{5}[/tex](x - 3)

Multiply by 5 on both side, we get

5(y - 6) = -2(x - 5)

Using the distribution property

5y - 30 = -2x + 10

Add 30 on both side, we get

5y = -2x + 40

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The complete question is:

What is the equation of a line that passed through the points (3, 6) and (8,  4)?

Answer:

[tex]10x+20[/tex]

Step-by-step explanation:

[tex]10(x-2)[/tex] Using Distributive property

[tex]10x+20[/tex]

A mathematical expression is a statement made up of variables, constants, and arithmetic operators. For the equation -3 x^2-9/x+3 , the rational expression is x+3 , Option A

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression’s structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

The complete question is

“Which of the following is equal to the rational expression when x does not equal 1 or 3   ( )

The options are

a. X+3

b. X-3

c. (x -3)/(x+3)”

The expression given in the question is

( )

And have been asked among the option which represents the rational expression when x does not equal 3 or 1

Therefore for the following equation -3 x^2-9/x+3 , the rational expression is x+3 .

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The length of the hypotenuse is 17 cm.

Pythagoras' Theorem is the way in which you can find the missing length of a right-angled triangle.

The triangle has three sides, the hypotenuse (which is always the longest), the Opposite (which doesn't touch the hypotenuse), and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a²+b²=c²

However, it can also be written in the form of c²=a²+b²

In order to find the hypotenuse, you will have the length of two sides, for example, these could be 3 and 4.

As 'C' is always the hypotenuse, you have to work out the two other lengths, and you do this by squaring the numbers.

3²=9 and 4²=16.

As you're looking for C, you've got to add these together

9+16=25

As a²+b²=c², this means that the answer for C is the square root of 25.

√25= 5

We are given that a = 8 cm and b = 15 cm.

Using Pythagoras' theorem,

c² = a² + b²

Substitute the values,

⇒ c² = 8² + 15²

⇒ c² = 64 + 225

⇒ c² =289

∴ c = 17

Thus, the length of the hypotenuse is 17 cm.

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The domain and range of the linear function y = 120 - 15x is  (-∞, ∞)

A graph of a linear function is a straight line that represents the relationship between two variables. A linear function is a function of the form y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line represents the rate of change of one variable with respect to the other variable, and the y-intercept represents the value of the dependent variable when the independent variable is zero.

When a linear function is graphed, it creates a line that can be represented by two key features: the slope and the y-intercept. The slope of a linear function is the rate of change of the function, and the y-intercept is the point where the line crosses the y-axis.

In the given problem, the linear function is y = 120 - 15x

Kindly find the graph attached below;

The domain of the function is (-∞, ∞)

The range of this function is (-∞, ∞)

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The length of the adult crocodile more than the young crocodile is 5.0 feet.

A young crocodile is 0.4 feet long. An adult crocodile is 13.5 times as long. The length the adult crocodile is more than the young crocodile can be calculated as follows:

Hence,

length of the adult crocodile = 13.5(0.4)

length of the adult crocodile = 13.5 × 0.4

length of the adult crocodile = 5.4 feet

Therefore,

the length of the adult crocodile more than the young crocodile = 5.4 - 0.4 = 5.0 feet

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The volume of this prism is 3150 cm³.

step1:

given 11cm, 19cm, 14cm, 11cm

To find: volume of given prism

the given prism is combination two prism

Triangular prism

cuboidal prism

volume of cuboidal prism =l*b*h

                                          =(15*14*11) cm^3

                                           =2310cm^3

step2:

volume of triangular prism=1/2*l*b*h

                                           =1/2*15*8*14    

                                            =840cm^3

step3:

volume of given prism=volume of cuboid + volume of triangular prism

                                     =(2310+840)cm^3

                                      =3150cm^3

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Answer:

29

Step-by-step explanation:

The total number of apps can be determined by multiplying the number of rows of apps by the number of apps in each row:

6*8 = 48

If she deleted 19 apps, then:

48-19 = 29 apps

Therefore if she deleted 19 apps she'd have 29 remaining.

The cost of cementing the path at the rate of ₹ 5 per m² is ₹ 6500.

What is a rectangle field?

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Here, we have

Given:

Length of the whole field = 80m

The breadth of the whole field = 60m

∴ Area of the whole field = ( Length × breadth )

= 80m × 60m

= ( 80 × 60 ) m²

= 4800m²

Length of the field excluding the path

= [ 80 - ( 5 + 5 ) ] m

= [ 80 - 10 ] m

= 70m

The breadth of the field excluding the path

= [ 60 - ( 5 + 5 ) ] m

= [ 60 - 10 ] m

= 50m

∴ Area of the field excluding the path

= 70m × 50m

= ( 70 × 50 ) m²

= 3500m²

Now, the area of the path,

= 4800m² - 3500m²

= ( 4800 - 3500 ) m²

= 1300m²

According to the question,

The cost of cementing the path at the rate of ₹ 5 per m² is,

= ₹ ( 1300 × 5 )

= ₹ 6500

Hence, the cost of cementing the path at the rate of ₹ 5 per m² is ₹ 6500.

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Angela has 15 cans

Brian has 8 cans

Carlos has 12 cans

Danielle has 0 cans

This question uses the comparison theory.

Step 1: Carlos has 12 cans.

Step 2: Brian has 4 fewer than Carlos, so Brian has 8 cans.

Step 3: Angela has 3x many than Brian, so Angela has 24 cans.

Step 4: Everyone has more than Danielle, so Danielle has 0 cans.

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The solution to the formula using f as the subject is given by f = 9/(a + 7)

a = 9/f - 7

Add 7 to both sides

a + 7 = 9/f

cross product

f(a + 7) = 9

divide both sides by a + 7

f = 9/(a + 7)

Hence, the formula a = 9/f - 7 can be written as f = 9/(a + 7) using f as the subject.

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Answer:

The scale of the map is 1 cm: 0.5 km, which means that 1 cm on the map represents 0.5 km in real life.

If Birch Avenue is 3.2 cm long on the map, we can use this scale to find the actual length of the street. To do this, we can multiply the length of the street on the map (3.2 cm) by the scale factor (0.5 km/cm).

3.2 cm * 0.5 km/cm = 1.6 km

So, the actual length of the Birch Avenue is 1.6 km.