The sum of 8 and a number is less than 15. Which of the following
inequalities expresses the solution?

Answer:

Step-by-step explanation:

All you have to do is add the four sides together and that should be your answer.

(B.) 4√37 units

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The domain that makes sense in this context will be (0, 10].

The domain means all the possible values of x and the range means all the possible values of y.

James can hike f(n) miles after building up n days of stamina, subject to a maximum of 10 days.

Then the domain that makes sense in this context will be (0, 10].

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The number of cows and ducks in the garden are 3 and 4 respectively.

Let the numbers of cows be x and the number of ducks is y.

Total number of legs=20

Total number of eyes=14

Linear equation for the total number of legs in the garden,

4x+2y=20 -(1)

Linear equation for the total number of eyes in the garden,

2x+2y=14 -(2)

Solve the system of the two linear equations to find the values of x and y.

Subtract equation (1) from equation (2), and we get,

2x=6

[tex]x=\frac{6}{2}\\[/tex]

x=3

Substitute the value of x in equation (1), and we get,

4(3)+2y=20

12+2y=20

2y=20-12

2y=8

[tex]y=\frac{8}{2}\\[/tex]

y=4

Number of cows=3

Number of ducks=4

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The graph which resembles the graph of f(x)=[tex]2^{x}[/tex] but is reflected over the x-axis is g(x)=[tex]2^{x} +1[/tex]

Given Function f(x)=[tex]2^{x}[/tex].

We have to generate a function whose graph is similiar to the given function and is reflected over the x axis.

If we take first function g(x)=2x-1

put the value of x=-1 then the value of function g(x)=2*(-1)-1=-2-1=-3 means the value of y in this function will be negative means the graph will be under x-axis.

Taking second function g(x)=[tex]2^{x} +1[/tex]

for all the negative values of x it posses a positive value of y so the graph will be over the x axis.

Taking third function g(x)=-[tex]2^{x}[/tex]

In the above function for each value of x the function possess a negative value so the graph will be under x axis.

Taking fourth function g(x)=2x-1

For all values of x less than 1 the function becomes negative which takes graph below the x axis. First graph is for [tex]2^{x}[/tex] and the second is for [tex]2^{x} +1[/tex]

Hence the graph similar to [tex]2^{x}[/tex] and reflected over x axis is g(x)=[tex]2^{x} +1[/tex].

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Answer:

overlapping congruent triangles:

ΔACE ≅ ΔBCD

Proof:

given: AC ≅ BC, angle A ≅ angle B

angle ACB ≅ angle BCA by the reflexive property

ΔACE ≅ ΔBCD by the ASA triangle congruence property

Step-by-step explanation:

The equation of a exponential function is

[tex]a \times (b) {}^{x} [/tex]

where a is the y value of the y intercept, b is the constant rate of change.

Here the y intercept is (0,4), the y value of the y intercept is 4.

So a=4

The graph passes through point (1,2) so

[tex]h(x) = 4 \times b {}^{x} [/tex]

Plug in 1 for x, 2 for h(x)

[tex]2 = 4 \times {b}^{1} [/tex]

Anything to the first power is itself so

[tex]2 = 4 \times b[/tex]

Isolate b.

[tex] \frac{1}{2} = b[/tex]

So our function is

[tex]4 \times ( \frac{1}{2} ) {}^{x} [/tex]

Answer:

[tex]h(x)=4\left(\dfrac{1}{2}\right)^x[/tex]

Step-by-step explanation:

Exponential Function

General form of an exponential function:

[tex]y=ab^x[/tex]

where:

From inspection of the given diagram, the defined points on the curve are:

As one of the defined points is the y-intercept (0, 4) then:

[tex]\implies a=4[/tex]

Substitute the found value of a and the point (1, 2) into the general form of an exponential function and solve for b:

[tex]\begin{aligned}h(x)=ab^x & \\\implies h(1)=4b^1 & = 2\\4b & = 2\\b & = \dfrac{2}{4}\\b & =\dfrac{1}{2} \end{aligned}[/tex]

Finally, substitute the found values of a and b into the general formula to complete the equation for the function h(x):

[tex]\implies h(x)=4\left(\dfrac{1}{2}\right)^x[/tex]

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We can actually deduce here the one that uses the reciprocal property to rewrite  [tex]\frac{x}{6} = \frac{28}{3\\}[/tex]  is: C. [tex]\frac{6}{x} = \frac{3}{28}[/tex].

A reciprocal of a number is defined as the number that when it is multiplied by the number, the result is 1. Thus, we deduce here that the product of a number and its reciprocal gives one.

Thus: x/6 x 6/x = 1

Also, if 28/3 x 3/28 = 1

Thus, we see that they use the reciprocal property.

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Answer:

29/10

Step-by-step explanation:

7/2+(-3/5)

7/2-3/5

35/10-6/10

29/10

Answer:

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

What is the equation for this situation?

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

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Step-by-step explanation:

This situation of the recipe can be represented as equation y = x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

For the given expression

y = x + 5.5

The possible values are

x = It is expected x is equal to 0 or greater to it

since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

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Answer:

Step-by-step explanation:

In this figure of overlapping parallelograms, each angle is related to the others by several different theorems involving triangles, parallelograms, and parallel lines. That is, there are several different ways one can arrive at the answers to this question.

__

∠UTC ≅ ∠UDC = 180° -∠EDU . . . opposite angles of parallelogram; linear pair

∠UTC = 180° -125° = 55°

__

∠UCD ≅ ∠TBC = 180° -∠TBA . . . . corresponding angles; linear pair

∠UCD = 180° -110° = 70°

__

∠BCT ≅ ∠UTC = 55° . . . . alternate interior angles

The two values of x best represent where the two functions are equal will be (12,11)

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Given data;

Linear function passing through;

(1, 2), (3, 4), (6,7) and (8, 9)

Quadratic function passing through

(3, 4), (5, 0), (7, 4) & (8, 9)

Let x be two values of x best represent where the two functions are equal;

The value of the x is obtained from the graph where the two line meets.

The value of x willl be (12,11)

Hence, the two values of x best represent where the two functions are equal will be (12,11)

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Answer:

13/28

Step-by-step explanation:

using pemdas we can determine that the equation is directly solves from left to right

so

first

we have

3/8 + 1/8

which is 4/8

you can simplify this to 1/2

then you have 1/2 - 2/7

you must make them have the same numerator

you can multiple 1/2 by 7/7 and 2/7 by 2/2

7/14 - 4/14 = 3/14

now you must add 3/14 and 1/4

but you to make them have the same numerator

so you multiply 3/14 by 2/2 and 1/4 by 7/7

6/28 + 7/28 = 13/28

that is your final answer

Answer:

Answer:

y =  -x + 7.

Step-by-step explanation:

General form:-

y = mx + c where m = slope. So:

y = x + 2 has a slope of 1.

The line perpendicular to it has slope -1/1 = -1

To find the required line we use the point-slope form with m = -1, x1 = 3 and y1 = 4.

y - y1 = m(x - x1)

y - 4 = -1(x - 3)

y - 4 = -x + 3

y =  -x + 7.

Answer:

The five Platonic solids (regular polyhedra) are the tetrahedron, cube, octahedron, icosahedron, and dodecahedron. In other words the second one.

Answer:

23 min 30 sec

Step-by-step explanation:

First, you add 35 + 14 + 18 + 27 which is 94.
Next, you divide 94 by the number of deliveries there were. Which is 4.
94/4 = 23.5.
So your answer would be 23 minutes and 30 seconds.

I Hope This Helped :D

Answer:

23.5 minutes or 23 minutes and 30 seconds

Step-by-step explanation:

1. add all the minutes

35 minutes + 14 minutes + 18 minutes+ 27 minutes = 94 minutes

2. Divide the total amount of minutes by the number of deliveries

94 minutes =  23.5 minutes or 23 minutes and 30 seconds

4 deliveries

The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.

We are aware that any straight line's equation can be expressed as

y = mx + c,

where m denotes the slope and c denotes a constant.

Also, two perpendicular lines' slopes are the negative reciprocals of one another.

Here, the equation of the given straight line is

3x+8y=4

i.e. 8y = 4 -3x

i.e. y = (4/8) - (3/8)x

Now the negative reciprocal of - 3/8 is 8/3.

Then we can write the equation of the perpendicular line is

y = (8/3)x + c ...(1)

Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.

So, -9 = (8/3)*8 + c

i.e. -9 = 64/3 + c

i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3

(1) can be written as

y = (8/3)x - (91/3)

i.e. 3y = 8x - 91

i.e. 8x - 3y = 91

Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.

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The domain over which the bacteria population Increases is [tex]d \ge 3[/tex]

The function is given as;

[tex]d = \sqrt{5.2d - 15.6} + 2[/tex]

Set the radicand greater than or equal to 0

[tex]5.2d - 15.6 \ge 0[/tex]

Add 15.6 to both sides

[tex]5.2d \ge 15.6[/tex]

Divide both sides by 5.2

[tex]d \ge 3[/tex]

Hence, the domain over which the bacteria population Increases is [tex]d \ge 3[/tex]

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Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

The compound inequality can be expressed as "x > -4 or x ≤ 4."

The correct graph of the solution is:

OC. Solution: x > -4 and x ≤ 4

Let's solve the compound inequality step by step:

x + 7 > 3

Subtract 7 from both sides to isolate x:

x > 3 - 7

x > -4

and, we have,

x - 5 ≤ -1

Add 5 to both sides to isolate x:

x ≤ -1 + 5

x ≤ 4

Now, we have two inequalities for x:

x > -4

x ≤ 4

The compound inequality can be expressed as "x > -4 or x ≤ 4."

The correct graph of the solution is:

OC. Solution: x > -4 and x ≤ 4

The graph will include all values greater than -4 (open circle) and all values less than or equal to 4 (closed circle) on the number line.

The correct representation is:

OC. Solution: x > -4 and x ≤ 4

Graph:

-5 -4 -3 -2 -1 0 1 2 3 4 5

+---|---|---|---|---|---|---|---|---|---+

-4 0 4

The open circle at -4 indicates that x is greater than -4, and the closed circle at 4 indicates that x is less than or equal to 4.

The shaded area between -4 and 4 represents the solution to the compound inequality.

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The expression can be used to find the difference of the polynomials is [10m (–7m)] [(–6) 4]

Difference of polynomials

A polynomial is a function that has a leading degree of 3 and above.

Given the expression below

(10m – 6) – (7m – 4)

Expand

10m - 6 - 7m  + 4

Collect the like terms

10m - 7m - 6 + 4

Simplify

3m -2

Hence the expression can be used to find the difference of the polynomials is [10m (–7m)] [(–6) 4]

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Answer:

[tex]x > - 3[/tex]

I hope this is helpful

A mean is an arithmetic average of a set of observations.

The correct option is (A).

A mean is an arithmetic average of a set of observations.

Mean = (Sum of observations)/Number of observations

As, the median is the middle value.

Thus, the median will not be changed.

As, the mean is the arithmetic average.

So, the $100 gift will increase the mean value of the prizes.

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Answer:

A

Step-by-step explanation:

Answer:

E.  5

Step-by-step explanation:

Let's rewrite the equation in the form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

2x + y = 5

y = -2x+5

M, the slope, is -2

5, b, is the y-intercept

See attached graph.

The mid-point of the numbers 3.8 and 4.1 will be 3.95.

Let C be the mid-point of the A and B.

C = (A + B) / 2

The numbers are given below.

3.8 and 4.1

Then the mid-point of the numbers 3.8 and 4.1 will be

C = (3.8 + 4.1) / 2

C = 7.9 / 2

C = 3.95

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Answer:

x>0

Step-by-step explanation:

points exist on the right of the graph so the domain is x>0

The simplification form of the provided polynomial is u¹³ + u⁹ -u⁷ + u⁶ - u³ - 1 after using the distributive property.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have an expression:

[tex]= \rm \left(u^7+u^3+1\right)\left(u-1\right)\left(u^5+u^4+u^3+u^2+u+1\right)[/tex]

After using the distributive property and simply it.

[tex]\rm =\left(u^8-u^7+u^4-u^3+u-1\right)\left(u^5+u^4+u^3+u^2+u+1\right)[/tex]

[tex]\rm =u^{13}+u^9-u^7+u^6-u^3-1[/tex]

Thus, the simplification form of the provided polynomial is u¹³ + u⁹ -u⁷ + u⁶ - u³ - 1 after using the distributive property.

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Answer:

46. 135°

47. 225°

47. 270°

48. 3/8

49. 3/4

Step-by-step explanation:

Answer:

46) 135°

47) 225°

48) 270°

49) [tex]\frac{3}{8}[/tex]   (3/8)

50) [tex]\frac{3}{4}[/tex]  (3/4)

Step-by-step explanation:

{the following is if you do not understand my drawing}

There are 4 segments that we can imagine - north, south, east, and west

We can imagine that these lines all meet a circle

There are 360 degrees to a circle. So, if we divide that by 4, we know that each segment is 90 degrees.

(Also, you can probably see that the angles are right angles, or you know that straight lines are 180 degrees, you probably know this information intuitively)

This means that each smaller segment, two in both of our four segments, is 45 degrees.

These 8 sections are each 1/8 of the total circle.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of objects. The coordinates of c' are (a+4, b-1).

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Let the coordinates of c be represented by (a,b). Now, if the shape x is translated by 4 units to the right and 1 unit down. Then, the coordinates of c' are:

c = (a, b)

c' = (a+4, b-1)

Hence, the coordinates of c' are (a+4, b-1).

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