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lidiya [134]
3 years ago
7

Multi-Step Max's school bought boxes of

Mathematics
1 answer:
Dovator [93]3 years ago
8 0

Answer:

564 pencils

Step-by-step explanation:

1 box = 12 pencils

25 boxes = 25 × 12 pencils = 300 pencils

22 boxes = 22 × 12 pencils = 264 pencils

300 + 264 = 564 pencils

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Pls help me calculate the inverse of y equals 2x over x-7
NeTakaya
Y = 2x/x-7

x = 2y/y-7

xy - 7x = 2y

-7x = 2y - xy

-7x = y(2-x)

y = -7x / 2-x

y = 7x / x-2


f-¹(x) = 7x / x-2

5 0
3 years ago
Fgh is first translated using the rule x,y >x+3,y-1this is followed by a 90 degrees counter clockwise rotation centered at th
maw [93]

Answer:

Rule:

h = (1 - y,x + 3)

Step-by-step explanation:

<em>I will answer generally, since the coordinates of f, g and h are not given</em>

Given

Point: x, y

Translation Rule

1 : x + 3, y - 1

2: 90 degree counterclockwise

Required

Determine the new coordinates

<u>At the first translation of (x,y) by x + 3, y - 1</u>

The new point is: (x + 3, y - 1)

<u>At the second translation (90 degrees counterclockwise)</u>

When a point (x,y) is translated using this rule, it becomes (-y,x)

So, the new point is:

h = (-(y - 1),x + 3)

h = (1 - y,x + 3)

If the initial point of h is (2,3),

The new point is:

h = (1 - 3, 2 + 3)

h = (- 2, 5)

5 0
2 years ago
Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.
NISA [10]

Answer:

\frac{\sqrt{\pi}}{4}

Step-by-step explanation:

You are going to integrate the following function:

g(x)=x*f(x)=x*xe^{-x^2}=x^2e^{-x^2}  (1)

furthermore, you know that:

\int_0^{\infty}e^{-x^2}=\frac{\sqrt{\pi}}{2}

lets call to this integral, the integral Io.

for a general form of I you have In:

I_n=\int_0^{\infty}x^ne^{-ax^2}dx

furthermore you use the fact that:

I_n=-\frac{\partial I_{n-2}}{\partial a}

by using this last expression in an iterative way you obtain the following:

\int_0^{\infty}x^{2s}e^{-ax^2}dx=\frac{(2s-1)!!}{2^{s+1}a^s}\sqrt{\frac{\pi}{a}} (2)

with n=2s a even number

for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

\int_0^{\infty}x^2e^{-x^2}dx=\frac{(2(1)-1)!}{2^{1+1}(1^1)}\sqrt{\pi}=\frac{\sqrt{\pi}}{4}

5 0
2 years ago
Read 2 more answers
Is y= 3(1/2)^x increasing or decreasing?
Zigmanuir [339]

Answer: Hey I looked on a graphing calculator on Desmos, and its seems that this is increasing.

Step-by-step explanation:

5 0
2 years ago
Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is Leon?
galben [10]
Wouldnt it be 4 2/4 feet tall?
3 0
3 years ago
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