Is (1.7) the solution to the following system? y = 5x + 2 Y = 3x + 4

Matt's family is thinking about buying a family pass to a park. The pass is $130 for a family of 6.

wolverine [178]

Answer:

he can save $80

Step-by-step explanation:

first you need to multiply 35 x 6 the answer to that is 210

then you need to subtract 130 from 210

and the answer is 80

therefore Matt's family can save $80

6 0

3 years ago

Match each differential equation to a function which is a solution

jonny [76]

Answer:

1. First equation is option B

2. Second equation is option C

3. Third equation is option E

4. Fourth equation no best option.

explanation:

Check the attachment for solution

8 0

4 years ago

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Prove the trig identity: tan^2 x cos^2 x = (sec^2 x -1)(1-sin^4 x)/1+sin^2 x

ella [17]

Answer:

See steps below

Step-by-step explanation:

We need to work with each side of the equation at a time:

Left hand side:

Write all factors using the basic trig functions "sin" and "cos" exclusively:

$tan^2(x)\,cos^2(x)=\frac{sin^2(x)}{cos^2(x)} cos^2(x)=sin^2(x)$

now, let's work on the right side, having in mind the following identities:

a) $sec^2(x)-1=tan^2(x)=\frac{sin^2(x)}{cos^2(x)}$

b) $1-sin^4(x) =(1-sin^2(x))\,(1+sin^2(x))$

c) $1-sin^2(x)=cos^2(x)$

Then replacing we get:

$\frac{(sec^2(x)-1)\,(1-sin^4(x))}{1+sin^2(x)} =\frac{sin^2(x)(1+sin^2(x))(1-sin^2(x))}{cos^2(x)(1+sin^2(x)))} =\frac{sin^2(x)(1+sin^2(x))\,cos^2(x)}{cos^2(x)(1+sin^2(x)))}=sin^2(x)$

Therefore, we have proved that the two expressions are equal.

5 0

3 years ago

Which ones are equivalent?

svp [43]

Answer:

1/8= 0.125

To have a percentage, multiply by 100

0.125 x 100 = 12.5%

Hope this helps ! : )

8 0

3 years ago

Find the center and radius of the circle x2 + y2 – 16x = 0

icang [17]

The answer is (8)
Move all variables to the left side and all constants to the right side.x2+y2−16x=0

Complete the square for x2−16x
(x−8)2−64

Substitute (x-8)2-64 for x2−16x in the equation

x2+y2−16x=0x2+y2-16x=0 - (x−8)2−64+y2=0

Move −64 to the right side of the equation by adding 64 to both sides.
(x−8)2+y2=0+64

Add 0 and 64 to get 64.
(x-8)2+y2=64

This is the form of a circle. Use this form to determine the center and radius of the circle.
(x−h)2+(y−k)2=r2

Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin.
r=8h=8k=0

The center of the circle is found at (h,k).Center: (8,0)

These values represent the important values for graphing and analyzing a circle.Center: (8,0)Radius: 8

3 0

3 years ago

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