determine where f(x) = g(x) by graphing HELP PLEASE!!

Determine Where F(x) = G(x) By Graphing HELP PLEASE!!

Answers

Answer 1

Answer:

C: x=-4

Step-by-step explanation:

I would suggest using the website desmos.com to help you graph your equations.

As shown on the graph I posted, f(x)=g(x) at x=-4

Determine Where F(x) = G(x) By Graphing HELP PLEASE!!
Answer 2

Answer:

Step-by-step explanation:

Given are two functions f(x) and g(x)

[tex]f(x) = \frac{2}{x+3} +1\\[/tex]

and

[tex]g(x) = -|x+3|[/tex]

The two would be equal if

[tex]\frac{2}{x+3} +1=x+3 or -x-3\\\frac{2}{x+3} =x+2 /-x-4\\2=x^2+5x+6/-(x^2+7x+12)\\x^2+5x+6=0 / x^2+7x+14=0[/tex]

x=-4 or -1

Of these x=-4 is consistent as when x=-4, x<-3 hence

|x+3|= 1

So answer is -4


Related Questions

4 times the sum of 1 plus a number equals 24. Find the number.

Answers

Answer:

the number is 5

Step-by-step explanation:

we can divide 24 by 4 in order to find the number

24/4 = 6

now we need to determine what number plus 1 equals 6 by subtracting 6 - 1

6 - 1 = 5

the answer is 5

we can check this by plugging 5 into the equation:

4(5+1) = 24

4(6) = 24

24 = 24

simplify the following:a)12:18:36. b)320:480. c)16mm:480​

Answers

Step-by-step explanation:

[tex]a)\ 12:18:36=\dfrac{12}{6}:\dfrac{18}{6}:\dfrac{36}{6}=2:3:6\\\\b)\ 320:480=32:48=\dfrac{32}{16}:\dfrac{48}{16}=2:3\\\\c)\ 16mm:480=\dfrac{16mm}{16}:\dfrac{480}{16}=1mm:30[/tex]

To simplify the given ratios, find the greatest common divisor (GCD) and divide all terms by the GCD. The simplified ratios are 2:3:6, 2:3, and 1:30. Refer to the solution for more details.

To simplify ratios, we divide both sides by their greatest common divisor (GCD).

a) 12:18:36

Find the GCD of 12, 18, and 36. It is 6.

Divide each number by 6:

12 ÷ 6 = 218 ÷ 6 = 336 ÷ 6 = 6

The simplified ratio is 2:3:6.

b) 320:480

Find the GCD of 320 and 480. It is 160.

Divide both numbers by 160:

320 ÷ 160 = 2480 ÷ 160 = 3

The simplified ratio is 2:3.

c) 16mm:480

Find the GCD of 16 and 480. It is 16.

Divide both numbers by 16:

16 ÷ 16 = 1480 ÷ 16 = 30

The simplified ratio is 1mm:30. However, if there is no importance to specify units, simply 1:30 would be enough.

Express 16=2x as a logarithmic equation

Answers

Convert the exponential equation to a logarithmic equation using the logarithm base

(

4

)

(

4

)

of the right side

(

16

)

(

16

)

equals the exponent

(

2

)

(

2

)

.

log

4

(

16

)

=

2

Given the equation of a circle, determine the center and the radius.〖(x+5)〗2+〖(y-1)〗2=9.

The equation of a circle is (x-h)2 +(y-k)2 = r2

Answers

Answer:

The center is (-5,1)

and

the radius is 3

Step-by-step explanation:

The given equation of the circle is

[tex](x+5)^2+(y-1)^2=9[/tex]

We can rewrite this equation in the form;

[tex](x-h)^2+(y-1)^2=r^2[/tex]

This implies that;

[tex](x--5)^2+(y-1)^2=3^2[/tex]

When we compare, we get;

(h,k)=(-5,1) which is the center and r=3 the radius.

Hello!

The answer is:

The center of the circle is located on the point (-5,1) and the radius is equal to 3 units.

Why?

To determine the center and the radius of a circle from its equation, we need to look for "h" and "k", being "h" the x-coordinate of the center and "k" the y-coordinate the center, then, calculate the radius.

Since we are given the ordinary equation of the circle, we can find the radius and the center directly.

The ordinary equation is:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

Where,

h is the x-coordinate of the center

y is the y-coordinate of the center

r is the radius.

So, we are given the circle:

[tex](x+5)^{2} +(y-1)^{2} =9[/tex]

Which is also equal to:

[tex](x-(-5))^{2} +(y-(1))^{2} =9[/tex]

Where,

[tex]h=-5\\k=1[/tex]

[tex]r^{2}=9\\\sqrt{r^{2}}=\sqrt{9} \\r=3units[/tex]

Hence, the center of the circle is located on the point (-5,1) and the radius is equal to 3 units.

Have a nice day!

The distance between points (3,7) and (x1,y1) is the square root of (x1 - 3)2 + (y1 - 7)2

True or False?

Answers

Answer : True

Explanation : It is according to distance formula.

The answer is True -Apex

What is the volume of the cone pictured? (Use 3.14 for π.)



785 ft 3
104.67 ft 3
261.67 ft 3
314 ft 3

Answers

Answer:

261.67 [tex]ft^{3}[/tex]

Step-by-step explanation:

The formula is 1/3 [tex]\pi r^{2}h[/tex]

Answer:

261.67 ft^3

Step-by-step explanation:

mark me brainy plz!

Which expression best represents the area of the rectangle?

Answers

Answer:

length×width

Step-by-step explanation:

Multiplying the length of a rectangle by the width will always give you the area. If one value is missing replace it with x.

Length x width should give you the answer your needing

Find the range of the data set represented by this box plot.

40
80
76
56

Answers

Answer:

56

Step-by-step explanation:

through estimation, you can see that the lowest value is 84 and the highest value is 140. in order to calculate the range, subtract the highest value from the lowest value. 140-84=56. The range is 56.

Answer:

56

Step-by-step explanation:

which of the following could be the graph of the line y=3x-2

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y=3x-2[/tex]

Plot the line

To plot the line find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

[tex]y=3(0)-2=-2[/tex]

The y-intercept is the point (0,-2)

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

[tex]0=3x-2[/tex]

[tex]x=2/3=0.667[/tex]

The x-intercept is the point (0.667,0)

Plot the intercepts and then draw the line

mary has a total of 26 coins made up of quarters and nickles.the total value of mary's coins is $4.30 how many quarters does mary have
A.26 quarters

B.15 Quarters

C.11 Quarters

D.5 Quarters

help me out here asap​

Answers

Answer:

d

Step-by-step explanation:

she has 16 quarters

1$=4 quarters

so 4$= 16 quarters

plus one more from the thirty cense

she could have 17 which is strange it’s not an option so go with B ig

A die is tossed. Find p(less than 5/even)

Answers

Answer:6/36

Step-by-step explanation:

Final answer:

The probability of rolling a number less than 5 and even on a die is 1/2.

Explanation:

To find the probability of rolling a number less than 5 and even, we need to determine the number of outcomes that satisfy both conditions and divide it by the total number of possible outcomes.

There are three outcomes that satisfy both conditions: {2, 4, 6}. The total number of possible outcomes is six since a die has six sides.

Therefore, the probability of rolling a number less than 5 and even is 3/6, which simplifies to 1/2.

is -77 a rational or irrational number?​

Answers

It’s a rational number.

Hope this helps!

Answer:

Rational

Step-by-step explanation:

Irrational numbers are numbers that are infinite and non- repeating numbers

irrational- pi, square root of 2, etc

rational- anything else.

rational- .333333..., 1/3,  2, 1, -5, .111..., .7171..., etc.

George took a test with a certain number of questions. Each question had the same value. He answered 10 questions incorrectly, which resulted in an accuracy score of 60%. How many questions were on the test

Answers

10 questions = 40%

X question = 100%

40x = 1000

X = 25 questions

25 questions were on the test.

What is accuracy?

There are two ways to assess observational error: accuracy and precision. Precision measures how closely spaced or widely separated a set of measurements are from one another, whereas accuracy measures how near or far off a given set of measurements are from their true value.

Given

60% accurate means 40% inaccurate.

10 inaccurate answers means 40% inaccurate

10/40 x 100 = 25

To know more about accuracy refer to :

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Find the perimeter of a square that is 3 3/4 inches on a side. 7 inches 15 inches 12 inches 30 inches

Answers

Answer:

  15 inches

Step-by-step explanation:

The perimeter of a polygon is the sum of the lengths of its sides. A square has 4 sides, all the same length. We can either add up the side lengths, or we can recognize that multiplication of one side's length by 4 is a useful alternative.

  perimeter = 4 × (3 3/4 in)

  = (4×3 +4×3/4) in

  = 12 in + 3 in = 15 in

write the slope intercept equation. the graph of f passes through (-6,4) and is perpendicular to the line that has an x-intercept of 2 and a y intercept of -6​

Answers

Answer:

y = [tex]-\frac{1}{3} x[/tex] + 2

Step-by-step explanation:

The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:

Slope(s) = Change in y ÷ change in x

s = [tex]\frac{0 - -6}{2 - 0}[/tex] = 3

The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = [tex]-\frac{1}{3}[/tex]

Reason: The product of slopes of lines perpendicular to each other have to be -1

So the slope of the perpendicular line that passes through (-6,4) is [tex]-\frac{1}{3}[/tex]

As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x

Taking another point (x,y) on the line,

[tex]-\frac{1}{3}[/tex] = [tex]\frac{y - 4}{x - -6}[/tex]

[tex]-\frac{1}{3}[/tex] = [tex]\frac{y - 4}{x + 6}[/tex]

y - 4 = [tex]-\frac{1}{3}[/tex]x - 2

y = [tex]-\frac{1}{3}[/tex]x + 2

To find the slope-intercept equation of a line that passes through a given point and is perpendicular to another line, we can determine the slope of the given line and use it to find the equation.

To find the slope-intercept equation of a line, we need to know the slope and the y-intercept. Since the line that this problem is referring to is perpendicular to a line with an x-intercept of 2 and a y-intercept of -6, we can determine the slope of the line we are looking for by taking the negative reciprocal of the slope of the given line.

The slope of the given line is found using the formula: slope = (y2 - y1) / (x2 - x1)

Once we have the slope, we can use the point-slope form of a linear equation to find the equation of the line that passes through (-6,4) and has the determined slope. Finally, we can rearrange the equation to obtain the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

Learn more about Slope-intercept equation here:

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what is the relationship between the graphs of y=2^x and y=2^-x

Answers

One is rational and one is exponential.

Answer:

Step-by-step explanation:

the relationship between the graphs of y=2^x and y=2^-x is : symmetry by y-axis

Surface area
Math
Help

Answers

The answer for your question is d

Answer:

D)15+15+10+10+6+6

Step-by-step explanation:

the formula to find the SA of a rectangular prism is:

2(lw)+2(lh)+2(hw)

where

l=length

w=width

and

h=height

let's substitute the values,3,2,and 5 into the equation

2(5*3)+2(5*2)+2(3*2)=62

62 is the SA

from the options:

10+6=16

10+10+6+6=32

15+15+10+10+6=56

and

15+15+10+10+6+6=62

so option D is correct

help me pls asap i really need this

Answers

the answer to the question is 26°

180°-154°= 26°

Answer:

26 degrees.

Step-by-step explanation:

180 - 154 = 26

Help me guys ....

1.What is the probability that a passenger is traveling for business ?

2.Given a passenger did not check their bag,what is the probability that the passenger is traveling for business ?

Answers

Answer:

1. .21

2. .79

Step-by-step explanation:

1. 103/490

2. 387/490

I’m hella confused on all this. What’s EF

Answers

rationalized form means that the number shoudnlt be a decimal that has never ending digits.

hope this answer to your question :)

Tina sells lampshades for $7 each and paper lanterns for $4 each at a one-day craft fair. She sells k lampshades and (k + 4) paper lanterns. The expression 7k + 4(k + 4) represents Tina’s total sales.
Select all the equivalent expressions for Tina’s total sales at the fair.
A 8k+16 B 11k+4
» 11k+16 D 7k+4k+4
» 7k+4k+16. How is it equivalent?

Answers

4xk = 4K 4x4= 16 +4K + 7k = 16+ 11k ( I would double check me

Which shows the correct substitution of the values a,b, and c from the equation 0=-3x^2-2x+6 into the quadratic formula ?

Answers

Answer:

a = -3

b = -2

c = 6

Step-by-step explanation:

The quadratic formula states that for an equation of the form:

[tex]ax^{2} + bx + c = 0[/tex]

The solution to that equation is:

[tex]\frac{-b±\sqrt{b^{2}-4ac}}{2a}[/tex]

In this case we have:

0=-3x^2-2x+6

Where:

a = -3

b = -2

c = 6

The RANGE of the function shown is
A) [4, 1]
B) [4, ∞)
C) [1, ∞)
D) [0, ∞)

Answers

Check the picture below.

recall that range is the interval over the y-axis for the graph of the function.

The range of the function shown is [4, ∝]

What is the range of the function?The collection of all a function's outputs constitutes its range. Example: Let's have a look at the function f: AB, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output. Set of even natural numbers is the range. The elements of the co-domain that are mapped are known as the pictures, while the elements of the domain are known as pre-images. The set of all images of the domain's elements in this case serves as the function's range, as does the set of all of its outputs.Here are the general formulas for calculating the range of various function types. The set of all real numbers is R in this instance.R is the range of a linear function.A quadratic function's range has the following values: y ≥ k if a > 0 and y ≤ k if a0A square root function's domain is y0.An exponential function has a range of y>0.R is the range of the logarithmic function.Solve the rational function y = f(x) for x and set the denominator to 0 to determine its range.

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Anaba is stacking cereal boxes in a pyramid-shaped display. The bottom layer has 10 boxes. There are two fewer boxes in each layer than the layer below. How many boxes are in display.

Answers

Answer:

30 boxes

Step-by-step explanation:

~ You begin with the bottom row, which has 10 boxes.

~ You do 10 - 2 to get the number of boxes in the next layer, which is 8.

~ You then take 8 - 2, which is 6 for the next layer up.

~ Take 6 - 2, which is 4 for the next layer up.

~ Take away another two: 4 - 2 is 2.

~ When you take 2 away from 2, you get 0, so you have no more boxes.

~ Then, you add all the different amounts of boxes for each layer:

-> 10 + 8 + 6 + 4 + 2

-> Group smaller numbers together to get two bigger ones:

-> 18 + 12

= 30

4 The pet store has 6 fish tanks.
Each tank has 7 goldfish and 5
Tetras. What is the total
number of fish (f) in the tanks?
x
= f
_= f
f

Answers

72 fish total. 12 fish in each tank.

_________________________

(g+t)n=f

g=Goldfish

t=Tetras

n=Number of fish tanks

*If I got it wrong, let me know*

Final answer:

The total number of fish in the tanks is 72.

Explanation:

To find the total number of fish in the tanks, we need to multiply the number of tanks by the sum of the goldfish and Tetras in each tank. Based on the information given, there are 6 tanks, and each tank has 7 goldfish and 5 Tetras.

So, the total number of fish (f) in the tanks can be calculated as:

f = (7 goldfish + 5 Tetras) * 6 tanks

f = (7 + 5) * 6

f = 12 * 6

f = 72

Therefore, the total number of fish in the tanks is 72.

Which list shows all the factors of 36? 1, 2, 3, 4, 6, 9, 12, 18, 36 1, 2, 3, 4, 8 , 9, 12, 18, 36 2, 3, 4, 6, 9, 12, 18 2, 4, 6, 8, 9, 12, 18 help fast

Answers

These are the factors of 36:

1, 2, 3, 4, 6, 9, 12, 18, 36

1, 2, 3, 4, 6, 9, 12, 18, 36

1 x 36 = 36

1, 2, 3, 4, 6, 9, 12, 18, 36

2 x 18 = 36

1, 2, 3, 4, 6, 9, 12, 18, 36

3 x 12 = 36

1, 2, 3, 4, 6, 9, 12, 18, 36

4 x 9 = 36

1, 2, 3, 4, 6, 9, 12, 18, 36

6 x 6 = 36

Hope this helped!

Answer:

1, 2, 3, 4, 6, 9, 12, 18, 36

Step-by-step explanation:

I took test on edge 2021

Consider the equation y = -2x + 5. Create a table of five ordered pairs that satisfy the equation. What is the y-intercept of the equation? What is the x-intercept of the equation?


a.
y-intercept (5, 0); x-intercept (-5/2,0)

b.
y-intercept (0, 5); x-intercept (0,5/2)

c.
y-intercept (5, 0); x-intercept (5/2,0)

d.
y-intercept (0, 5); x-intercept (5/2,0)

Answers

Answer with step-by-step explanation:

Ordered pairs that satisfy the given equation:

x  0  1  2  3  4

y  5  3  1  -1  -3

To find the x-intercept, we will substitute y = 0 and solve for x to get:

[tex]0 = -2x + 5[/tex]

[tex] -2x = -5[/tex]

[tex]x = 5/2[/tex]

x-intercept = (5/2, 0)

To find the y-intercept, we will substitute x = 0 and solve for x to get:

[tex]y = -2(0) + 5[/tex]

[tex]y = 5[/tex]

y-intercept = (0, 5)

Answer: option d.

Step-by-step explanation:

To create a table of five ordered pairs that satisfy the equation, you need to give values to the variable "x" and substitute these into the function to find the corresponding value of "y":

For [tex]x=-2[/tex]

[tex]y = -2(-2) + 5=9[/tex]

For [tex]x=-1[/tex]

[tex]y = -2(-1) + 5=7[/tex]

For [tex]x=0[/tex]

[tex]y = -2(0) + 5=5[/tex]

For [tex]x=1[/tex]

[tex]y = -2(1) + 5=3[/tex]

For [tex]x=2[/tex]

[tex]y = -2(2) + 5=1[/tex]

Then, you can make the table:

x   -2  -1  0  1  2

y   9  7  5  3  1

To find the  x-intercept, substitute [tex]y=0[/tex] into the function and solve for "x". Then:

[tex]0 = -2x + 5\\\\x=\frac{-5}{-2}\\\\x=\frac{5}2}[/tex]

This is: ([tex]\frac{5}{2}[/tex], 0)

To find the  y-intercept, substitute [tex]x=0[/tex] into the function and solve for "y". Then:

[tex]y= -2(0) + 5\\\\y=5[/tex]

This is: (0,5)

6 cm x 5cm x 4cm what is the volume of the prism in cubic centimeters

Answers

Answer:

120 [tex]cm^{3}[/tex]

Step-by-step explanation:

6 x 5 x 4 =120

Answer:

120 cm^3

Step-by-step explanation:

volume = length * width * height

volume = 6 cm * 5 cm * 4 cm

volume = 120 cm^3

How to do number 12

Answers

Answer:

To find the circumference of a circle you have to multiply Pi (3.14) with the diameter of the circle.

You need to find circumference of the circle first

Tania took selfies with her 8 cousins. Each cousin is in exactly 2 or 3 pictures. There are 5 cousins in each picture. How many selfies did Tania take?

Answers

Answer:

4

Step-by-step explanation:

How many selfies did Tania take? (my first answer would be too many, but that's probably not the answer you're looking for :-) )

We know that each cousin appear 2 or 3 times overall.

If she would have taken each cousin exactly 2 times, that would be 16 cousins/photos

If she would have taken each cousin exactly 3 times, that would be 24 cousins/photos

We know there's exactly 5 cousins per photo...

so we have to find a multiple of 5 cousins/photos that is between 16 and 24.

The only possibility is 20 cousins/photos.  20 / 5 = 4 photos.

Final answer:

Tania took 4 selfies with her cousins. Each cousin appeared in exactly 2 selfies, with some appearing a third time to account for 16 total cousin appearances divided by 5 cousins per selfie.

Explanation:

The problem presented is a combinatorial puzzle involving selfies and cousins. Since each cousin is in either 2 or 3 pictures, we can try to minimize the number of pictures by assuming each cousin is in exactly 2 pictures first. If there are 8 cousins and 5 cousins per picture, then by multiplying 8 by 2 (every cousin appears exactly 2 times), we get 16 cousin appearances in total.

Since each selfie has 5 cousins, we divide the total cousin appearances by the number of cousins per picture: 16 / 5, which results in 3.2. However, since it's not possible to have a fraction of a picture, we need at least 4 selfies to cover all appearances. Yet, this leaves us 4 extra appearances (because 4 pictures would mean 20 cousin appearances in total).

These 4 extra appearances account for the fact that some cousins appear 3 times instead of just 2. Therefore, Tania must have taken 4 selfies with her cousins to cover the 16 cousin appearances with some cousins appearing an additional third time.

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