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3 years ago

P(x)=-3+4x when x=-2,0, and 5

Mathematics

1 answer:

pishuonlain [190]3 years ago

3 0

-3 + 4x
-3 + 4(-2)
-3 - 8
-11

-3 + 4(0)
-3 + 0
-3

-3 + 4(5)
-3 + 20
17

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Super urgent! Solve the equation for all real values of x. 3tan^2 = sqrt3 tanx

lutik1710 [3]

f(x) = tan2(x) + (√3 - 1)[tan(x)] - √3 = 0

tan2(x) + √3[tan(x)] - tan(x) - √3 = 0

Factor into

[-1 + tan(x)]*[√3 + tan(x)] = 0

which means

[-1 + tan(x)] = 0 and/or [√3 + tan(x)] = 0

Then

tan(x) = 1

tan-1(1) = pi/4 radians

For the other equation

[√3 + tan(x)] = 0

tan(x) = -√3

tan-1(-√3) = -pi/3

so that

x = pi/4 or -pi/3 in the interval [0, 2pi]

5 0

2 years ago

a photograph has a perimeter of 24 in the difference between the photographs Lane and the width is 2 inches. find the length and

DaniilM [7]

L-w=5

L=w+5

P=2*(L+w)=24

L+w=24/2

L+w=12

w+5+w=12

2w+5=12

2w=12-5

2w=7

w=7/2

w=3.5

L=2+3.5

L=5.5

8 0

3 years ago

What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)

timama [110]

Given:

The point $P\left(\dfrac{3}{4},\dfrac{5}{12}\right)$ divides the line segment joining points $A\left(\dfrac{1}{2},\dfrac{3}{2}\right)$ and $B(2,-5)$ .

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Let point P divides the segment AB in m:n. Then by using the section formula, we get

$\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)$

$\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)$

On comparing both sides, we get

$\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}$

$\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}$

Multiply both sides by 4.

$3(m+n)=2(4m+n)$

$3m+3n=8m+2n$

$3n-2n=8m-3m$

$n=5m$

It can be written as

$\dfrac{1}{5}=\dfrac{m}{n}$

$1:5=m:n$

Therefore, the point P divides the line segment AB in 1:5.

6 0

2 years ago

Polly bought a cracker for $7 and then bought a parrot for $2. By how much did Polly's account change after her transactions?

marysya [2.9K]

Answer:

$Changes = -\$9$

Step-by-step explanation:

Given

$Cracker = \$7$

$Parrot = \$2$

Required

Determine the changes in the account

First, we need to determine the total amount spent;

$Total = Cracker + Parrot$

$Total = \$7 + \$2$

$Total = \$9$

Hence, the changes in her account is a debit of $9 i.e. -$9

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3 years ago

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GarryVolchara [31]

Answer:

Step-by-step explanation:

4 0

2 years ago