The graphs of functions f(x) and g(x) = f(x) + k are shown:

What is the value of k?

A.) K=2
B.) K=1
C.) K=0
D.) K=-2

Answer:

  log₁₀(M) + log₁₀(N)

Step-by-step explanation:

The rules of logarithms tell you ...

  log(ab) = log(a) +log(b) . . . . . base of logarithms the same in each case

When your log is log₁₀ and a=M and b=N, this becomes ...

  log₁₀(MN) = log₁₀(M) + log₁₀(N)

_____

Some functions are not always written with their arguments in parentheses. I believe it avoids ambiguity to put function arguments in parentheses, so I have done that here. It appears your answer form may want you to write ...

  log₁₀M+log₁₀N . . . . . I don't recommend this form

Answer:

C (5,4)

Step-by-step explanation:

if we know that y cannot be greater then for by looking at the first inequality then we can eliminate B. The second inequality does not further eliminate anything and the only option that is left that also corresponds to the third inequality is c because 5+4>6, 9 >6

hope this helps and please mark brainliest :)

Answer:

D. $2,160

Step-by-step explanation:

$1800 per month * 12 months = $21,600

10% of $21,600 = 0.1 * $21,600 = $2,160

Answer:

$2,160

Step-by-step explanation:

There are 12 months in a year

1800 *12 = 21600

He pays 21600 per year in rent

He pays the agency 10%

21600 * 10%

21600*.10

2160

He pays the agency 2160

Answer: [tex]=528[/tex]

Step-by-step explanation:

You have this expression:

[tex]2(3x^3 + 2y^2)[/tex]

You already know that the value of the variable "x" is:

[tex]x=-2[/tex]

And the value of the variable "y" is:

[tex]y=12[/tex]

Therefore, you can substitute the value of the variable "x" and the value of the variable "y" into the expression.

Then you get:

 [tex]2(3(-2)^3 + 2(12)^2)=2(-24+288)=2(264)=528[/tex]

Answer:

528

Step-by-step explanation:

2(3х³ + 2у²)

Where x = -2 and y = 12 which means whenever you sees x, put -2 in replacement and y put 12

So we solve;

2(3x³ + 2y²), x = -2, y = 12

2[3(-2)³ + 2(12)²]

2[3(-8) + 2(144)]

2[-24 + 288]

open the bracket by multiplying by 2

-48 + 576

combine

528

Answer:

16 in = 2W + 2L

Step-by-step explanation:

The equation for the perimeter of this rectangle is

P = 16 in = 2W + 2L.

Without knowing the value of either W or L, we can do no more at this point.

Answer:

  least to greatest: {61, 61, 61, 178, 179}

Step-by-step explanation:

If the third-largest angle is 61°, the smallest three angles cannot be larger than 183°. Since the total of all angles must be 540°, and the total of the largest two cannot be greater than 179°×2 = 358°, the sum of the smallest three must be at least 540° -358° = 182°.

So, the possible sets of angles with the smallest 3 totaling 182° or 183° are (in degrees) ...

  {60, 61, 61, 179, 179} . . . . two modes

  (61, 61, 61, 178, 179} . . . . . one mode -- the set you're looking for

Answer:

61,61,61,178,179

Step-by-step explanation:

your welcome. :)

Answer:

[tex]x+2=\pm2[/tex]

Step-by-step explanation:

He started with [tex](x+2)^2-9=-5[/tex].

He add 9 to both sides and the resulting equation was

[tex](x+2)^2=4[/tex]

Next, he took the square root of each side.

The resulting equation of this step is:

[tex](x+2)=\pm \sqrt{4}[/tex]

[tex]x+2=\pm2[/tex]

The required equation is:

[tex]x+2=\pm2[/tex]

Answer:x + 2 = ±2

Step-by-step explanation:

on edge

Answer:

a) AB = 17 m

b) AC = 20.8 m

Step-by-step explanation:

Pythagorean theorem

a^2 + b^2 = c^2

a)

AB^2 = (26-11)^2 + 8^2

AB^2 = 15^2 + 8^2

AB^2 =  225 + 64

AB^2 = 289

AB = 17 m

b)

AC^2 = AB^2 + BC^2

AC^2 = 17^2 + 12^2

AC^2 =289 + 144

AC^2 = 433

AC = 20.8 m

Answer:

   0

Step-by-step explanation:

For a quadratic of the form

  ax² +bx +c = 0

The "discriminant" is the expression ...

  b² -4ac

For this equation, we have a=1, b=5, c=7, so the discriminant is ...

  5² -4·1·7 = -3

When the discriminant is negative there will be two distinct complex roots to the equation, and no real roots.

_____

When the discriminant is zero, there will be one real root with multiplicity 2; when it is positive, there will be two distinct real roots.

Answer:

An enlargement with scale factor 2

Step-by-step explanation:

C’E’D is a dilation imagine of CED

It's enlargement so scale factor must be greater than 1

SF = 4/2 = 2

Answer

An enlargement with scale factor 2

An enlargement with scale factor 2

A dilation in mathematics is a function f from a metric space M into itself that, for any locations x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is some positive real number. Such a dilatation is a resemblance of the space in Euclidean space.

Given

C’E’D is a dilation imagine of CED

It's enlargement so scale factor must be greater than 1

SF = 4/2 = 2

To know more about dilation refer to :

https://brainly.com/question/3457976

#SPJ2

Answer:

y=1/10x +10

Step-by-step explanation:

when we replace the x in this equation with numbers representing x in the points given, we are going to end up with the points that represents y in the question.

Answer:

C. [tex]y=\frac{x}{10} +10[/tex]

Step-by-step explanation:

Here we are given two points from which the line passes through . hence we use the two point form to evaluate the equation of line.

The two points are

(0,10) and (10,11)

the two point formula is

[tex]\frac{y-y1}{x-x1} = \frac{y2-y1}{x2-x1}[/tex]

Here x1=0, x2=10, y1=10, y2=11

Now we keep these values in the two point form formula given above

[tex]\frac{y-10}{x-0} = \frac{11-10}{10-0}\\\frac{y-10}{x} = \frac{1}{10}\\y-10=\frac{x}{10}\\y=\frac{x}{10}+10[/tex]

Hence our third option is correct.

Answer:

250d + 300

Step-by-step explanation:

Answer:

X+ 6

Y+ 1

Step-by-step explanation:

The image of point A  after the reflection along the x-axis the is A(-5,-2).

When this point was translated the new point became A(1, -1). The is means  the translation from (-5, -2) to (1, -1) can be given by:

for the x-coordinate

-5 + x = 1

x =6

for the y-coordinate;

-2 + y  =-1

y = -1 + 2

   = 1

Answers are

x + 6 and

y + 1

Answer:

x+6 y+1

Step-by-step explanation:

Answer:

  (f+g)(x) = x^2 + 7x -9

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

  = (x^2 + 6x – 2) + (x – 7)

  = x^2 + 7x -9

Answer:

they are the same . If u add (-5) + (-30) that will be equal to (-35)

Answer:

25

Step-by-step explanation:

1) -5-(-30)

2) -5+30

3) 25

Answer:

True

Step-by-step explanation:

Based on Angle-Angle-Side, you would have two congruent triangles and those two sides are equal/congruent.

It is true, from the given information only we can say that AD = CD.

In geometry, two figures or objects are congruent if their shape and size are same.

If two angles and a side which does not come between these two angles is congruent with two angles and a side which does not come between these two of another triangle, then the triangles are said to be congruent by AAS criterion.

In the given question

∠ABD = ∠CBD  ( Given)

∠BAD = ∠BCD   (Right angles)

    BD = DB        (Common side of both triangles)

Δ ABD ≅ Δ CBD (AAS criterion)

The two triangles are congruent hence AD = CD.

Learn more about congruency on:

https://brainly.com/question/20880990

#SPJ2

Answer:  1.9

Step-by-step explanation:

[tex]f(x)=\dfrac{14}{7+2e^{-0.6x}}\\\\\\f(3)=\dfrac{14}{7+2e^{-0.6(3)}}\\\\\\.\qquad =\dfrac{14}{7+2e^{-1.8}}\\\\\\.\qquad =1.9\qquad \quad need\ to\ use\ a\ calculator\ after\ replacing\ x\ with\ 3[/tex]

Answer:

0.8

Step-by-step explanation:

Let's say s is the side length of the square.  When the square is cut diagonally, each triangle has a base of s and a height of s.

Area of a triangle is:

A = ½ bh

Given A = 0.32, b = s, and h = s:

0.32 = ½ (s)(s)

0.64 = s²

s = 0.8

The side length of the square is 0.8 units.

The side length, in units, of the original square is 0.8 units.

A square is a two-dimensional shape that is made up of four equal sides. The diagonal is a straight line that divides the square into two right triangles.

The area of a triangle = 1/2 x base x height

0.32 = 1/2 x s²

0.32 x 2 = s²

0.64 = s²

s = √0.64

s = 0.8 units

To learn how a square, please check: https://brainly.com/question/9030544

#SPJ2

Answer:

[tex]m=5[/tex]

Step-by-step explanation:

The average rate of change m of a function is calculated using the following formula

[tex]m=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

In this case we look for the average exchange rate between [tex]x = 0[/tex] and [tex]x = 2[/tex].

Therefore we must find [tex]f(2)[/tex] and [tex]f(0)[/tex]

You can see in the graph that when [tex]x = 2[/tex] then [tex]y = 11[/tex]

therefore [tex]f(2) = 11[/tex]

You can see in the graph that when [tex]x = 0[/tex] then [tex]y = 1[/tex]

therefore [tex]f(0) = 1[/tex]

Finally

[tex]m=\frac{f(2)-f(0)}{2-0}[/tex]

[tex]m=\frac{11-1}{2-0}[/tex]

[tex]m=\frac{10}{2}[/tex]

[tex]m=5[/tex]

The estimate of the average rate of change of the function given in the graph above is calculated as: 5.

The average rate of change of a function is the ratio of the change in the function's output values to the corresponding change in its input values over a specified interval.

The average rate of change = f(b) - f(a) / b - a.

Given the function in the graph above, we see that:

a = 0, then f(a) = 1

b = 2. then f(b) = 11

Plugin the values into the formula:

Average rate of change = 11 - 1 / 2 - 0

= 10/2

= 5

Learn more about average rate of change on:

https://brainly.com/question/11627203

#SPJ3

Answer:

B

Step-by-step explanation:

Given focus as (h,k) and directrix as y = mx + b, the equation of a parabola is given as:

[tex]\frac{(y - mx - b)^2}{m^2 +1}=(x - h)^2 + (y - k)^2[/tex]

Hence, from the given focus & directrix, we have:

h = -1

k = -1

m = 0

b = 1

We can plug them into the formula and arrange to get:

[tex]\frac{(y - mx - b)^2}{m^2 +1}=(x - h)^2 + (y - k)^2\\\frac{(y - (0)x - 1)^2}{0^2 +1}=(x - (-1))^2 + (y - (-1))^2\\\frac{(y-1)^2}{1}=(x+1)^2+(y+1)^2\\y^2-2y+1=x^2+2x+1+y^2+2y+1\\-2y-2y=x^2+2x+1\\-4y=x^2+2x+1\\y=-\frac{1}{4}x^2-\frac{1}{2}x-\frac{1}{4}[/tex]

B is the correct answer.

You are given that all three sides of both the triangles are "approximately equal"

This means the answer is D. SSS (Side-Side-Side)

It can't be A. because S-A-S means side-angle-side and these are not the "givens"

It can't be B. because A-S-A means angle-side-angle and these are not the "givens"

It can't be C. because A-A-A means angle-angle-angle and these are not the "givens"

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

  The function is even.

Step-by-step explanation:

Compare it to the definition of an odd function or an even function.

Odd function: if (x, y) is in the relation, then (-x, -y) is also in the relation. (The function is symmetrical about the origin.)

Even function: if (x, y) is in the relation, then (-x, y) is also in the relation. (The function is symmetrical about the y-axis.)

__

The first point listed is (1, 2). If this function is odd, we expect to find (-1, -2). There is none such.

If this function is even, we expect to find (-1, 2). That is the third point listed, so it is possible this function is even. Comparing the other points to their even-function counterparts shows all of them match the definition of an even function.

Nathan is walking faster than Matt.

The graph shows that for every hour, Matt walks 3 miles, since it goes to the right 1 and up 3 over and over again.  This means Matt's speed is 3 miles per hour.

4 miles per hour is greater than 3 miles per hour, so Nathan is walking at a faster speed.

Answer:

D

Step-by-step explanation:

Circle C and D both have a radius of 7.  So the sum of their areas is:

A = π(7)² + π(7)²

A = 98π

Answer:  The correct option is

(D) 98π units².

Step-by-step explanation:  We are given to find the sum of the areas of circle C and circle D.

From the figure, we note that

both the circle s C and D have equal radii given by

r = 7 cm.

Also, we know that the area of a circle with radius r units is given by

[tex]A=\pi r^2.[/tex]

Therefore, the sum of the area of circle C and D is given by

[tex]S=2A=2\pi r^2=2\times \pi\times7^2=2\times49\pi=98\pi~\textup{sq. units}.[/tex]

Thus, the required sum of the areas is 98π units².

Option (D) is CORRECT.

Answer:

175ml of orange paint

Step-by-step explanation:

3/4 = 75/x

3 × 25 = 75 so...

4 × 25 = 100 so...

75 + 100 = 175ml of orange paint

if we take 45 as the 100%, what is 27 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 45&100\\ 27&x \end{array}\implies \cfrac{45}{27}=\cfrac{100}{x}\implies \cfrac{5}{3}=\cfrac{100}{x} \\\\\\ 5x=300\implies c=\cfrac{300}{5}\implies c=60[/tex]

Answer:

if we take 45 as the 100%, what is 27 off of it in percentage?

Step-by-step explanation:

Answer: (B) = 110.2

50*2.2046 = 110.23

The correlation coefficient 'r' equals 0 indicates that there is no linear relationship between two variables. However, there could be a non-linear relationship present that is not captured by 'r'. Therefore, one should also consider other statistical tests or data visualization methods to fully understand the relationship between variables.

When a correlation coefficient, or 'r', equals 0, it conveys that there is no linear correlation between the two observed variables. However, this does not necessarily mean that the two variables are entirely unassociated. The correct answer to the student's question is B: No, because while there is no linear correlation, there may be a relationship that is not linear.

This means that in the context of the problem, just because 'r' equals 0 between student's body temperature and head circumference, it doesn't conclude there is no relationship between these two variables. There could be a non-linear or curve relationship present, which cannot be determined by the correlation coefficient.

Remember, the correlation coefficient 'r' only measures the strength and direction of a linear relationship between two variables. It doesn't help in determining non-linear relationships. Therefore, it's important to also consider other statistical tests or visual data assessment methods when analyzing associations between variables.

https://brainly.com/question/15577278

#SPJ3