Given f ( x ) = 1/ x + 4 , find the average rate of change of f ( x ) on the interval [ 4 , 4 + h ] . Your answer will be an expression involving h .
show me steps

Answer:

(-2,3)

Step-by-step explanation:

x=2y−8;−3x+2y=12

x=2y−8

−3x+2y=12

−3(2y−8)+2y=12

−4y+24=12

−4y+24+−24=12+−24

−4y=−12

-4y=-12

y=3

x=2y−8

x=(2)(3)−8

x=−2

Answer:

I think its 19.75

Suppose that number is x :

ten time of it means :

10 × x = 10x

Four less than ten times of it means :

10x - 4

Is mean equals to :

10x - 4 = 126

we translated the question now let's find the x which is the number we want :

10x - 4 = 126

Add both sides 4

10x - 4 + 4 = 126 + 4

10x = 130

Divide both sides by 10

10x ÷ 10 = 130 ÷ 10

Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

A z-score of 0 indicates that the person's score is equal to the mean, so they are right at the Average Performance level.the z-score of a person who scored 300 on the exam is 0.

The z-score of a person who scored 300 on the exam, we can use the formula:

z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

In this case, the person scored 300 on the exam, which is equal to the mean (μ). Therefore, we can substitute these values into the formula:

z = (300 - 300) / 40

Simplifying the equation, we have:

z = 0 / 40

Since any number divided by zero is undefined, we can conclude that the z-score of a person who scored 300 on the exam is 0.

The z-score measures the number of standard deviations a data point is away from the mean. In this case, a z-score of 0 indicates that the person's score is equal to the mean, so they are right at the average performance level.

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In this case, there's no simplifying. The first result is the simplest.

angle1 and angle3

angle6 and angle8

angle5 and angle7

Answer:

1/2

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 2-3)/(0-2)

   = -1/-2

  = 1/2

Answer:

Slope = 0.5

Step-by-step explanation:

Given: Line passes through (2, 3) and (0, 2)

\(\text{Slope formula} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_2 - y_1}{x_2 - x_1}\)

Substitute the coordinates in the formula and solve for the slope;

    \(\implies \text{Slope formula} = \dfrac{y_2 - y_1}{x_2 - x_1}\)

    \(\implies\text{Slope formula} = \dfrac{2 - 3}{0 - 2}\)

    \(\implies\text{Slope formula} = \dfrac{-1}{-2}\)

    \(\implies\text{Slope formula} = \dfrac{1}{2} = 0.5\)

Therefore, the slope of the line is 0.5.

The order of G is 24, and the only Subgroups of order 12 are isomorphic to A4 or S3 x Z2, neither of which contain N.

Let us first understand the definitions of subgroups and maximal subgroups.A subgroup is a set of elements in a group that are themselves a group under the group operation.

In other words, a subgroup is a subset of a group that contains the identity element, and is closed under group multiplication and taking inverses.

A maximal subgroup of a finite group G is a proper subgroup M of G, which is not equal to G itself, and such that there are no proper subgroups of G that contain M. In other words, M is as large as possible among all proper subgroups of G.

This means that M is not a subset of any larger proper subgroup of G.Example: Let G be the symmetric group S4 and let H be the subgroup of G generated by (1 2 3) and (1 2).

Then H is not a maximal subgroup of G because it is contained in the larger subgroup K generated by (1 2 3) and (1 2) and (1 3) and (2 4).

On the other hand, if we consider the subgroup N generated by (1 2) and (3 4), then N is a maximal subgroup of G because there are no proper subgroups of G that contain N. This can be seen by noting that any proper subgroup of G must have order 12,

since the order of G is 24, and the only subgroups of order 12 are isomorphic to A4 or S3 x Z2, neither of which contain N.

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The solution is given below.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

from the given chart we get,

the solution is attached below.

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Answer:

Step-by-step explanation:

The solution (X = 8, Y = 16) represents a minimum because the second partial derivatives are both positive.

The quadratic equation's roots 32

+6x+8=0 utilises the quadratic formula to determine. x = is the quadratic formula.

where the quadratic equation's coefficients are a, b, and c. Here, an equals 1, b equals 6, and c equals 8. We obtain the quadratic formula's result by entering these values: x =

x = (-6 ± √(36 - 32)) 2 x = (-6 to 4) 2 x = (-6 to 2) 2 x = (-3 to 1) 1 x = (-2 to 4)

Generally, any quadratic equation of the form may be solved using the quadratic formula to get the roots.

Whereas a, b, and c are real numbers, + bx + c=0. One effective method for tackling a wide range of physics and maths issues is the quadratic formula.

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Answer:

48 boys

Step-by-step explanation:

ratio girls to boys = 5:4

There are 60 girls

60/5 = 12

4 x 12 = 48

There are 48 boys

If my answer is incorrect, pls correct me!

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-Chetan K

The value of radius of cone is,

⇒ r = 6 millimeters

We have to given that;

A cone has a volume of 226.08 cubic millimeters and a height of 6 millimeters.

Now, We know that;

Volume of cone = 1/3πr²h

Hence, We get;

⇒ 226.08 = 1/3 × 3.14 × r² × 6

⇒ r² = 226.08 / 6.28

⇒ r² = 36

⇒ r = 6 millimeters

Thus, The value of radius of cone is,

⇒ r = 6 millimeters

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Complete question is,

A cone has a volume of 226.08 cubic millimeters and a height of 6 millimeters. What is its radius?

Answer:

\(-12f\)

Step-by-step explanation:

First, expand the equations with the distributive property. \((-4f+9)\) becomes \(-4f+9\). \(-(8f+9)\) becomes \(-8f-9\). Now create the expanded version of the equation, \(-4f+9-8f-9\). This becomes \(-12f\).

Answer:

The answer is x=8.

Step-by-step explanation:

I am sure this is correct.

Answer:

\(24\pi \: {cm}^{2} \)

Step-by-step explanation:

Given:

A cone

h (height) = 4 cm

r (radius) = 3 cm

Find: A (surface area) - ?

In order to find the surface area, we have to know the length of the slant height first (use the Pythagorean theorem):

\( {l}^{2} = {r}^{2} + {h}^{2} \)

\( { l}^{2} = {3}^{2} + {4}^{2} = 9 + 16 = 25\)

\(l > 0\)

\(l = \sqrt{25} = 5 \: cm\)

Now, we can find the surface area:

\(a(surface) = \pi {r}^{2} + \pi \times r \times l\)

\(a(surface) = \pi \times {3}^{2} + \pi \times 3 \times 5 = 9\pi + 15\pi = 24\pi \: {cm}^{2} \)

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Thus, the solution set for the cost of each notebook that can be bought by George is:  (0 ≤ x ≤ 6).

A linear equation is a one-variable equation of the a straight line. The variable only has one power, which is 1. Simple algebraic operations are used to solve linear equations in one variable, which can have the form ax+b=0.

Given that:

So, the linear equation follows

Amount for 4 notebooks + Left amount  = total amount

4*x + 12 ≤ 36

4x ≤ 36 - 12

4x ≤ 24

x ≤ 24/4

x ≤ 6

So, (0 ≤ x ≤ 6)

Thus, the solution set for the cost of each notebook that can be bought by George is:  (0 ≤ x ≤ 6).

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Answer:

Train A = 466

Train B = 60

Step-by-step explanation:

Answer: red = 9, yellow = 15 green = 24, total = 48 notepads were bought.

Step-by-step explanation:

3 x 3 = 9, so 9 red. 3 x 5 = 15, so 15 yellow. 3 x 8 = 24, so 24 green. In total this is equal to 48 notepads. 9 + 15 + 24 = 48.

Answer:

6x

Step-by-step explanation:

there's no specific method just follow times table

Answer:

A - C(-3, -2), D(1, -2)

Step-by-step explanation:

The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)

From the question, we have the following parameters that can be used in our computation:

2ˣ⁺⁴

The above expression is an exponential expression with the following properties

When the above expression is expanded, we have

2ˣ⁺⁴ = 2ˣ * 2⁴

Evaluate the expression 2 exponent 4

So, we have the following representation

2ˣ⁺⁴ = 2ˣ * 16

Rewrite as follows

2ˣ⁺⁴ = 16 * 2ˣ

This gives

2ˣ⁺⁴ = 16(2ˣ)

Hence, the expression that is equivalent to the expression is 16(2ˣ)

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\(\sf 1) \ \large \boldsymbol {} \displaystyle 2 \frac{33}{40} +4\frac{3}{8} =2+\frac{33}{40}+4+\frac{3}{8}^{/5} =6+\frac{33+15}{40} = \\\\\\ 6\frac{48}{40} =7\frac{8}{40} =\boxed{7\frac{1}{5} } \\\\\\\\ 2) \ 2\frac{3}{8} +1\frac{1}{3} =2+1+\frac{3}{8}^{/3}+\frac{1}{3} ^{/8} =3+\frac{9+8}{24} =\boxed{3\frac{17}{24}} \rm \ cups\)

Answer:

use 1 mile / 5280 feet

Step-by-step explanation:

12000 feet to miles

= 12,000 feet x     1 mile  

                         5280 feet

= 2.27 miles