Let f (x) = 10/x-4
What is the average rate of change of f (x) from 2 to 8 ?

Enter your response as a decimal.

Answer:

The answer for this question is 42

Answer:

6 cm (Option A)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Lets say there are two triangles ΔABC & ΔXYZ , who are similar to each other.

[tex]=> \frac{Area \: of \: ABC}{Area of XYZ} = (\frac{AB}{XY})^ {2} = (\frac{BC}{YZ})^2 = (\frac{AC}{XZ} )^2[/tex]

SOLUTION :-

In the question it's given that ΔPQR is an enlarged figure of ΔABC.

⇒ ΔPQR is similar to ΔABC.

[tex]=> \frac{Area \: of \: PQR}{Area \: of \: ABC } = (\frac{QR}{BC})^2[/tex]

[tex]=>\frac{32}{8} = (\frac{QR}{3})^2[/tex]

Root squaring both the sides ,

[tex]=> \sqrt{(\frac{QR}{3})^2} = \sqrt{\frac{32}{8} }[/tex]

[tex]=> \frac{QR}{3} = \sqrt{4} =2[/tex]

Multiplying both the sides by 3 ,

[tex]=> \frac{QR}{3} \times 3 = 2 \times 3[/tex]

[tex]=> QR = 6 \:cm[/tex]

Answer:

(5^2)(5-7)

Step-by-step explanation:

So we know h(x)=x-7.

We also know g(x)=x^2

We need to plug in these values for (g*h)(5)

This would equal:

((x-7)*x^2)(5)

Since parthese can also be considered multipcation symbols, we can think of this as:

(x-7)(x^2)(5)

Lets distrubute the 5 to all the x's:

(5-7)(5^2)

Which is:

([tex]5^{2}[/tex])(5-7)

This looks like answer C.

Hope this helps!

Answer:

A. 3/8*2=6/8

Step-by-step explanation:

Think about a whole number as (whole number)/1

(2/1)

Then multiply

3/8*2/1=6/8

Hope that helps!

Answer:

The decimal number system comprises digits from 0-9 that are 0, 1, 2, 3, 4, 5, 6, 7, 8 & 9. Some of the decimal number system examples are: ... 34110, 5610, 678910, 7810. Now as we know to write decimal numbers till 10 let us use the 3 rules on a decimal system,to write further numbers.

[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]

Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. ... It also requires a dot (decimal point) to represent decimal fractions.

Answer:

Step-by-step explanation:

Ax+By=C

Ax=C-By

x=C-By/A

Answer:

1/18

Step-by-step explanation:

[tex]\frac{1}{9}[/tex]÷2

make 2 a fraction

[tex]\frac{1}{9}[/tex]÷[tex]\frac{2}{1}[/tex]

cross multiply

1*1

9*2

[tex]\frac{1*1}{9*2}[/tex]

[tex]\frac{1}{18}[/tex]

Answer:

Step-by-step explanation:

You always invert the second number in a division question and then multiply. This one is a little different. It has three levels. What do you do about that?

[tex]\frac{\frac{1}{9} }{\frac{2}{1} }[/tex]

Now you have a four level question which is handled the same way as all four level question.

Invert the bottom and multiply. Invert means turn upside down. So you turn the 2/1 upside down and you get 1/2

[tex]\frac{1}{9}*\frac{1}{2}[/tex]

What you get is 1/18 The green box with the question mark is a 1.

Answer:

4.0.

Step-by-step explanation:

In sample 1, you do 0.65/1.3 which gets you to 0.5, so then you do the same to the bottom which you also have to divide by 1.3, and 5.2/1.3 is 4.0 or 4.

Answer:

option D.  4.0

Step-by-step explanation:

                    Mass              Volume

Sample 1        0.65                0.5

Sample 2        5.2                   x

[tex]\frac{0.65}{5.2} = \frac{0.5}{x}\\\\0.65 \times x = 0.5 \times 5.2\\\\0.65x = 2.6\\\\x =\frac{2.6}{0.65} =4[/tex]

( - 1 )^5 = - 1

.....................

.....................

.....................

Answer:

the answer is -1 have a nice day

x---- independent variable

f(x)--- dependent variable(can also be "y")

The dependent variable (fx) is the output or you can say... For every value of the independent variable (x)...There's a unique value for the dependent variable.

Ok... Lemme explain

Say you have an equation

f(x)=2x+1

let x be take value from all natural Numbers (1,2,3..….)

When x is 1

f(x) = f(1) = 2(1)+1

=3

when x is 2

f(x)=f(2) = 2(2)+1 =5.

So for every x value... There's a unique value for f(x).

You dig?

Now

let's proceed to your question.

We're already given tbe values of x and f(x)

What we now need to find is the equation that corresponds to the values being gotten

From the table

When x =1 ...….f(x)=8

When x=2 .........f(x) = 32

When x=3 ...........f(x)=128

Etc

Which equation from the options will give you these values of f(x)???

You're gonna have to test run it quickly by puttinh values of x and see if they'll give the corresponding value of f(x).

Fun right?

OK. From Observation....

OPTION A WILL DO THE JOB.

f(x)=2.4^t where "t" represents x in this case.

Input your values of x in this

You'll get the exact f(x) value

Eg

when x= 1... f(x)= 2.4¹ =8

x=2 ..….f(x) = 2. 4² = 2.16 = 32.

OPTION A IS OUR ANSWER.

HAVE A GREAT DAY BRO!

Answer:

DIBF

Step-by-step explanation:

I'm pretty sure it's that

2.75

Step-by-step explanation:

[tex]\sf\purple{2.75}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{11}{4} \\ = 2.75[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

Answer:

4x5=20

20 divided by 5 = 4

Step-by-step explanation:

Answer:

20 ÷ 4  = 5 and 20 ÷ 5  = 4 also 4 x 5  = 20

Step-by-step explanation:

Step-by-step explanation:

5+5-3= 7

!!!!!!!!!!!!!!!!!

Answer:

answer is 7 please give a brainliest please

Step-by-step explanation:

Answer:

the answer is

yes to 7 and no to 10

Step-by-step explanation:

7. y = 3x--------->   2*3 = 6

10. y = 7x+2--------------> 2*7=14--> 14+2 = 16

16 does not equal 0

Answer:

Pizza Uno offers $5.25 for a small pizza and Pizza Duo offers $5.60 for a small pizza.

Step-by-step explanation:

For Pizza Uno:

For pizza Duo: (the "%" is actually 3/4)

Step-by-step explanation:

6.5+6.5=diameter

Answer:

13 cm

Step-by-step explanation:

The diameter is twice the radius

The radius is 6.5 cm

diameter = 2 * 6.5 = 13 cm

Answer:

First problem: 24 + 4x = 60

Second problem: 9

Step-by-step explanation:

24 + 4x = 60

4x = 36

x = 9

Answer:

option 3) ii, iv, v

Step-by-step explanation:

|-12| means write the absolute value, which means just the number without the sign.

Therefore |-12| = 12

So, ii.  12

    iv.   |12| is also = 12

     v.   -( -12) is also = 12

Answer:

12.00000000000000000

Answer:

[tex](7m^2+10)^2[/tex]

Step-by-step explanation:

This is a quadratic in disguise. To visualize this better, let [tex]x=m^2[/tex]. We have:

[tex]49x^2+140x+100[/tex]

To factor, we can write out the format [tex](ax+y)(bx+z)[/tex]. We're looking for numbers [tex]a[/tex], [tex]b[/tex], [tex]y[/tex], and [tex]z[/tex] such that the following is true:

We find the following numbers:

[tex]a=7,\\y=10, \\b=7, \\z=10[/tex]

Thus, we have:

[tex](7x+10)(7x+10)[/tex]

Substitute back [tex]x=m^2[/tex] to get your final answer:

[tex](7m^2+10)(7m^2+10)=\boxed{(7m^2+10)^2}[/tex]

Answer:

the answer would be 128cm³

Step-by-step explanation:

have a great rest of ur day

Answer:

96cm

Step-by-step explanation:

-> 4x= 66-10

-> 4x= 56

-> x= 56/4

-> x= 14

mark me brainliestttt plsss :)))

Answer:

x = 14.

Step-by-step explanation:

4x + 10 = 66

4x + 10 - 10 = 66 - 10

4x = 56

x = 56/4 = 14.

Answer:  No, we don't have a right triangle

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

Explanation:

If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.

Here we have a = 2, b = 5 and c = 7.

So...

a^2+b^2 = c^2

2^2+5^2 = 7^2

4+25 = 49

29 = 49

The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do not have a right triangle.

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

In contrast, consider the classic 3-4-5 right triangle

a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).

Answer:

x = 65.03°

Step-by-step explanation:

To solve for x, we have to apply trigonometric ratio.

Recall: SOH CAH TOA

From the diagram, we know the following:

Reference angle = x

Hypotenuse = 45

Adjacent = 19

Since we know the Hyp and Adj, we would apply CAH, which is:

Cos x = Adj/Hyp

Plug in the values

[tex] cos(x) = \frac{19}{45} [/tex]

[tex] x = cos^{-}(\frac{19}{45}) [/tex]

x = 65.0250346°

x = 65.03° (nearest hundredth)

9514 1404 393

Answer:

  228 km

Step-by-step explanation:

Traveling 3 hours at 76 km/hour, the train covers a distance of ...

  distance = speed × time

  distance = (76 km/h)(3 h) = 76×3 km = 228 km

Answer:

5/27

Step-by-step explanation: