The sum of three numbers is 16. The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is 85. The difference between 4 times the first number and the second number is negative 3. Find the three numbers.

Answer:

B. The graph of g(x) is the graph of f(x) shifted to the left '6' units

Step-by-step explanation:

Type of transformation                                   change to co-ordinate point

Vertical translation up 'd' units                          (x ,y) changes to (x , y+d)

Vertical translation down 'd' units                    (x ,y) changes to (x , y-d)

Horizontal translation left 'c' units                    (x ,y) changes to (x-c , y)

Horizontal translation Right 'c' units                  (x ,y) changes to (x+c , y)

Given f(x) translation left 'c' units                       f(x) changes to f(x-c)

Given f(x) translation right 'c' units                     f(x) changes to f(x+c)

Given  Function f(x) = 10 ˣ

The given graph  f(x) translation left '6' units

g(x) = f(x -6) = [tex]10^{x-6}[/tex]

Final answer:-

The graph of g(x) is the graph of f(x) shifted to the left '6' units

g(x) = f(x -6) = [tex]10^{x-6}[/tex]

Answer:

D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.

Step-by-step explanation:

Use GeoGebra to graph those two function

f(x) = 10^x

g(x) = 10^(x-6)

Answer:

A' = (2,4)

Step-by-step explanation:

I know this because it's the opposite of (-2,4)

Answer:

(-2, -4)

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

This is an example of the Altitude - on - Hypotenuse theorem.

The altitude that is perpendicular to the hypotenuse of a right triangle.

The two triangles formed are similar to the given triangle and to each other.

x² = (smaller part) × (larger part) of main hypotenuse

x² = 6 + 19 = 114 ( square root both sides )

x ≈ 10.68 ( nearest hundredth )

---------------------------------------------

y² = ( smaller part) × (whole part) of main hypotenuse

y² = 6 × 25 = 150 ( square root both sides )

y ≈ 12.25 ( nearest hundredth )

--------------------------------------------

z² = ( larger part) × (whole part) of main diagonal

z² = 19 × 25 = 475 ( square root both sides )

z ≈ 21.79 ( nearest hundredth )

Answer:112 years, you see a pattern of multiplying by 2, take 224 and divide it by 2 and you get 112

Step-by-step explanation:

Step-by-step explanation:

Well seeing as each year the amount of Trees Doubled (7+7=14 and 14+14=28)

We can Infer that each year afterwards it will do so.

So 1 year from now 28+28 = 56

2 years from now 56 + 56 = 112

And finally at 3 years 112+112 we arrive at our answer 224

Answer: So it would take 3 years to get to get to 224

Answer:

y=2+√28+4x

Step-by-step explanation:

Answer:

For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Step-by-step explanation:

For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Answer:

It's C.

Step-by-step explanation:

I took the test

Answer:

C) 1/5

Step-by-step explanation

When one line has a slope of m, a perpendicular line has a slope of  −1/m

Answer:

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

Step-by-step explanation:

First we have to distinguish the numbers with x from the "normal" numbers.

2x and 6x are numbers with x.

3 and 0 are "normal" numbers.

Now we have to seperate them on different sides of the equal sign.

To do this, we can subtract 3 from the left side and then add it to 0 on the left side.

Therefore, the equation will now be 2x + 6x = -3.

Now we can add 2x and 6x together, making it 8x.

The equation will now be 8x = -3.

To find the product of x, we need to divide both sides together.

So 8 divided by -3 will make -2[tex]\frac{2}{3}[/tex].

Therefore, x is  -2[tex]\frac{2}{3}[/tex].

Hope my explination makes sense :)

Answer:

Step-by-step explanation:

32+(-10)

32-10

22 is not equal to 0

so its false

Answer: no solution

Step-by-step explanation:

Remove parentheses.

32+-10=0

Simplify 32+-10 to 32-10

32-10=0

Simplify 32-10 to 22

22=0

Since 22=0 is false, there is no solution.

Answer:

The function has a hole when x = 0 and a vertical asymptote when x = 4.

Step-by-step explanation:

The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.

The coordinates from the given table (-0.2, -0.238), (-0.1, -0.244), (0.1, -0.256), (0.2, -0.263), (3.7, -3.3) (3.8, -5), (3.9, -10), (3.99, -100) and (4.01, 100).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the table, we have:

f(0) = undefined

f(4) = undefined

One of these values (the lesser value of x i.e. x = 0) is a hole, while the other is a vertical asymptote

Using the above as a guide, the correct statement is the function has a hole when x = 0 and a vertical asymptote when x = 4.

The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ5

Answer:

B.) -16

Step-by-step explanation:

-10=-2+1/2d

-8=1/2d

d=-8/1/2

d=-16

So B

Answer: 1/3

Step-by-step explanation:

The multiples of 4 and 6 that are in this 1-12 interval is 4, 6, 8, and 12

Thats a 4/12 chance which simplifies to 1/3

Answer:

1/3

Step-by-step explanation:

There are 3 numbers between 1 and 12 that are either multiples of 4 or 6 (4, 8, 6). 12 is a multiple of both, therefore we get 4 numbers out of 12. This is 4/12 = 1/3

Answer:

[tex]\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}[/tex]

Step-by-step explanation:

\frac{1}{x+2}-\frac{1}{3}  =\frac{1}{x^2 +5x+6}

Answer:

[tex]$\frac{2}{3x} +\frac{7}{5y} $[/tex]

[tex]$\frac{2(5y)}{3x(5y)} +\frac{7(3x)}{5y(3x)} $[/tex]

[tex]$\frac{10y}{15xy} +\frac{21x}{15xy}$ \\[/tex]

[tex]$\frac{10y+21x}{15xy}$ \\[/tex]

\\-----------------------------------\\

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

[tex]$\frac{1(x+3)}{(x+2)(x+3)} -\frac{1(x+2)}{(x+2)(x+3)} $[/tex]

[tex]$ \frac{x+3- (x+2)}{(x+2)(x+3)} $[/tex]

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

Answer:

i would probably go with DE, EF, and DF

Step-by-step explanation:

i hope this helps :))

Answer:

DE, EF, and DF

Step-by-step explanation:

IT TO THE BEST OF MY BRAIN!!!! HAVE A NICE DAY!!!

Answer:

23 deg

Step-by-step explanation:

For angle x, 3 is the opposite leg.

sqrt(58) is the hypotenuse.

The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin x = opp/hyp

sin x = 3/sqrt(58)

sin x = 0.3939

x = sin^-1 0.3939 = 23 deg

Step-by-step explanation:

In a regular hexagon, split the figure into triangles.

Find the area of one triangle.

Multiply this value by six.

Alternatively, the area can be found by calculating one-half of the side length times the apothem.

Hope this helps you.

====================================================

Work Shown:

The two angles shown are a linear pair. They are adjacent and supplementary. Supplementary angles add to 180 degrees.

(4x-5)+(x+40) = 180

5x+35 = 180

5x = 180-35

5x = 145

x = 145/5

x = 29

--------

As a check, if x = 29, then

4x-5 = 4*29-5 = 116-5 = 111

x+40 = 29+40 = 69

The two angles are 69 and 111 degrees which add to 69+111 = 180, which helps confirm the answer.

Answer:

x = 29

Step-by-step explanation:

The two angles with measures are a linear pair.

Angles in a linear pair are supplementary, so their measures add to 180 deg.

4x - 5 + x + 40 = 180

Combine like terms on left side.

5x + 35 = 180

Subtract 35 from both sides.

5x = 145

Divide both sides by 5.

x = 29

Answer:

Step-by-step explanation:

a, as the x axis increases, so does the y axis

b, temperature outside v ice cream sales

hours studied v grade on test

c, I cannot do for you, but i can tell you how. Draw a straight line that you feel is an accurate representation of the graph. Then find the slope and write an equation

Answer:

23×-5

= -115

The answer is -115, easy peasy

Answer: 20%

Step-by-step explanation:

Explanation is in progress of writing:

First, I will divide 60 by 75 and multiply by 100, to find what percent of 75 is 60:

= [tex]\frac{60}{75}[/tex] · 100

= 0.8 · 100

= 80%

The percentage error of the student's measurement is 25%.

Given the following data;

Percentage error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, percentage error is given by this expression;

[tex]Perecent \; error = \frac{Real \; value - Experimental \; value}{Real \; value} * 100[/tex]

Substituting the values into formula, we have;

[tex]Perecent \; error = \frac{60 - 75}{60} * 100[/tex]

[tex]Perecent \; error = \frac{-15}{60} * 100[/tex]

Note: The negative sign is neglected in percentage error.

[tex]Perecent \; error = \frac{1}{4} * 100[/tex]

Percent error = 25%

Therefore, the percent error is 25%.

Find more information: https://brainly.com/question/3105259

Answer:

[tex]\mathrm{F}[/tex]

Step-by-step explanation:

[tex]y+8=4(x-5)[/tex]

[tex]x=5\\y=-8[/tex]

[tex](-8)+8=4((5)-5)[/tex]

[tex](-8)+8=4(0)[/tex]

[tex]0=0[/tex]

Answer:

x=23

Step-by-step explanation:

6x + 5 = 4x + 51

Take away 4x from both sides

2x + 5 = 51

Take away 5 from both sides

2x = 46

Divide both sides by 2

x=23

Answer: x=23

explanation: First thing you need to do is rearrange the equation so that like-terms are together. To avoid negative numbers, subtract 5 from both sides of the equation (subtraction property of equality), and subtract 4x from both sides (subtraction property of equality). You're equation would then be 2x=46. Divide both sides (division property of equality) by 2 to isolate your variable of x. You'll be left with a final answer of x=23.

Answer:

The answer is 1846.32 units³.

Step-by-step explanation:

Given that the base of a cone is a circle so the area of circle is A = πr². You have to substitute the following values into the formula :

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Let π = 3.14,

Let r = 14,

Let h = 9,

[tex]v = \frac{1}{3} \times 3.14 \times {14}^{2} \times 9[/tex]

[tex]v = 1846.32 \: {units}^{3} [/tex]

Answer:

The correct answers is:

The United States has an absolute advantage in producing pillows, and Spain has an absolute advantage in producing televisions

Step-by-step explanation:

Absolute advantage is a term of economics which can be defined as an ability of a person, company or country to produce a greater quantity of goods as compared to his competetors.

We can surely understand that in the pillows market, the United States has an absolute advantage as it is producing about 50 pillows more than Spain and 100 pillows more than France in one week.

Similarly, in the televisions market, Spain has the absolute advantage because Spain is producing 5 more televisions than United States and 6 more televisions than France in one week

Answer:

There are 11 g of drink mix for every ounce of water.

Step-by-step explanation:

In order to calculate the unit rate in grams of drink mix for ounces of water of any type of drink, we need to divide the mass of drink mix in grams by the mass of water in ounces. In this case there are mixed fractions, we will first convert them to fractions, to do that we sum the fraction part with the integer one.

[tex]mix = 19 + \frac{1}{4}\\\\mix = \frac{77}{4}[/tex]

[tex]water = 1 + \frac{3}{4}\\\\water = \frac{7}{4}[/tex]

The rate is:

[tex]rate = \frac{mix}{water}\\\\rate = \frac{\frac{77}{4}}{\frac{7}{4}}\\\\rate = \frac{77}{7}\\\\rate = 11[/tex]

There are 11 g of drink mix for every ounce of water.

Answer:

There are 11 g of drink mix for every ounce of water.

Answer:

[tex]x=\frac{14}{3}[/tex]

Step-by-step explanation:

Open the brackets.

[tex]4x +\frac{4}{3}=20[/tex]

[tex]4x=\frac{56}{3}[/tex]

[tex]x=\frac{14}{3}[/tex]

Answer:

So first we need to divide both sides by four. The four on the left side will cancel out and the right side will become 5. Next we have

x+1/3=5

Now we need to subtract both sides by 1/3. The 1/3 will cancel out and the 5 will become 4 2/3.

All we will be left with is x

x = 4 2/3

Answer:

[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7[/tex]

Required

Which of the above is a quadratic function

A quadratic function has the following form;

[tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function

[tex]1.\ f(x) = -8x^3 - 16x^2 - 4x[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = ax^3 + bx^2 + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]

This function has an exact match with [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

By comparison; [tex]a = \frac{3}{4}\ b = 2\ and\ c = -5[/tex]

[tex]3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = \frac{a}{x^2} + \frac{b}{x} + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

[tex]4.\ f(x) = 0x^2 - 9x + 7[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = ax^2 +bx + c = 0\ but\ a = 0[/tex]

Unlike the quadratic function where [tex]a\neq 0[/tex]

So, from the list of given options, only [tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex] satisfies the given condition

Answer:

$3,552.00

Step-by-step explanation:

First, you need to multiply 222 by 5. You will get 1110. Next, you need to multiply 222 by 10. You will get 2220. Now you take the 222 1 dollar bills and add it to the 1110 dollars, then add the 2220 to that. You will get the final number of 3552.

Here's the equation in what I call "Long Boi Form:"

222x5=1110 222x10=2220 1110+2220+222=3552

Here's the equation in what I call "Short Boi Form:" [Use this only if you

know PEMADAS!!!]

222+(222x5)+(222x10)=3552

Answer:

b

Step-by-step explanation:

Here A is the answer because it has more terms i guess