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Kazeer [188]
3 years ago
5

Before leaving for his book club meeting, Larry reads the last chapter in his book. The chapter is 15 pages long and contains 1,

500 words. He reads the 15 pages in 10 minutes. How many words per minute does he read?
Mathematics
1 answer:
julsineya [31]3 years ago
7 0

Answer: 150 wpm

Step-by-step explanation:

<em>if he reads 1,500 words in 10 minutes, then we simply divide 1500 by 10, in order to get how many words that he can read in one minute. </em>

1500/10 = 150

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What is the inverse of the function f(x) = 8x+1
Yanka [14]

Answer:

f⁻¹(x) = (x - 1)/8

Or

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".

f(x) = 8x + 1

y = 8x + 1        

<u>Switch the "x" and "y" variables</u>

x = 8y + 1

<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting

8y + 1 = x            

8y + 1 - 1 = x - 1               Subtract 1 from both sides

8y = x - 1

\frac{8y}{8}=\frac{x-1}{8}        Divide both sides by 8 and simplify

y=\frac{x-1}{8}                  Inverse equation

y=\frac{1}{8}x-\frac{1}{8}             Slope-intercept form

<u>Use function notation</u>, change "y"

f^{-1}(x)=\frac{x-1}{8}                      Simplified

f^{-1}(x)=\frac{1}{8}x-\frac{1}{8}                   Slope-intercept form

6 0
3 years ago
Do you know how to solve this with work to back it up?
ehidna [41]
Depends are you finding x or other variables
5 0
3 years ago
The graph of the function f(x) = ax^2 + bx + c has vertex at (0, 2) and passes through the point
Ann [662]

Answer:

Step-by-step explanation:

You need to use vertex form of a quadratic to solve this.

Consider the vertex to be (h,k)

Another way of representing a quadratic is in "vertex form":

f(x) = a(x-h)^2+k

Now all you have to do is solve for a.  You know that the vertex is (0,2) and you have know the point of (1,8).  Now, all you have to do is plug in these values and solve for a.

8 = a(1-0)^2+2\\8=a(1)^2+2\\8=a+2\\a=6

Now you know the equation is f(x) = 6(x-0)^2+2 , but you need it in quadratic form.  All you have to do is solve is distribute the 6:

6x^2+2

You get:

a = 6

b = 0

c = 2

Please mark this as brainliest if it satisfies your question

7 0
3 years ago
Can someone help me with this?
timama [110]

Answer:

-9m and 3m

and

3 and - 8

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.

5 0
3 years ago
Write the expression as a square of a binomial if possible: 1/9 x^2+ 2/15 x y+ 1/25 y^2
Vsevolod [243]

Answer:  \bold{\bigg(\dfrac{1}{3}x+\dfrac{1}{5}y\bigg)^2}

<u>Step-by-step explanation:</u>

The square of the trinomial exists only if (a + b)² = a² + 2ab + b²

\dfrac{1}{9}x^2+\dfrac{2}{15}xy+\dfrac{1}{25}y^2\\\\\\a=\sqrt{\dfrac{1}{9}x^2}=\dfrac{1}{3}x\\\\\\b=\sqrt{\dfrac{1}{25}y^2}=\dfrac{1}{5}y\\\\\\2\cdot a\cdot b=2\cdot \dfrac{1}{3}x\cdot \dfrac{1}{5}y = \dfrac{2}{15}xy\\\\\text{So, }\dfrac{1}{9}x^2+\dfrac{2}{15}xy+\dfrac{1}{25}y^2=\bigg(\dfrac{1}{3}x+\dfrac{1}{5}y\bigg)^2\\

4 0
3 years ago
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