Solve each of thr following sytem of equations by substitution!!

4x+3y=37
y=x-4

Answers

Answer 1

Answer: x = 7, y = 3
yeeeeeeee

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What is the solution set for the inequality |-3-5x|-8<-2

Answers

$|-3-5x|-8<-2\n|-3-5x|<6\n-3-5x<6 \wedge -3-5x>-6\n-5x<9 \wedge -5x>-3\nx>-(9)/(5) \wedge x<(3)/(5)\nx\in\left(-(9)/(5),(3)/(5)\right)$

The hard way:

$\left| -3-5x \right| -8<-2\n \n \left| -3-5x \right| <6\n \n { \left( -3-5x \right) }^( 2 )<{ 6 }^( 2 )\n \n \left( -3-5x \right) \left( -3-5x \right) <36$

$\n \n 9+15x+15x+25{ x }^( 2 )<36\n \n 25{ x }^( 2 )+30x+9<36\n \n 25{ x }^( 2 )+30x-27<0\n \n Say\quad f\left( x \right) =25{ x }^( 2 )+30x-27,\n \n and\quad that\quad f\left( x \right) =0$

$\n \n 25{ x }^( 2 )+30x-27=0\n \n 25{ x }^( 2 )+30x=27\n \n { x }^( 2 )+\frac { 30 }{ 25 } x=\frac { 27 }{ 25 } \n \n { x }^( 2 )+\frac { 6 }{ 5 } x=\frac { 27 }{ 25 } \n \n { \left( x+\frac { 3 }{ 5 } \right) }^( 2 )-{ \left( \frac { 3 }{ 5 } \right) }^( 2 )=\frac { 27 }{ 25 }$

$\n \n { \left( x+\frac { 3 }{ 5 } \right) }^( 2 )=\frac { 36 }{ 25 } \n \n x+\frac { 3 }{ 5 } =\pm \frac { 6 }{ 5 } \n \n x=-\frac { 3 }{ 5 } \pm \frac { 6 }{ 5 }$

$Therefore:\n \n x=\frac { 3 }{ 5 } \quad and\quad x=-\frac { 9 }{ 5 } \quad when\quad f\left( x \right) =0\n \n Now:\n \n f\left( x \right) <0,\n \n$

When:

-9/5<x<3/5

Find the area of a 7-gon with side length 10. Round to a whole number.

Answers

Answer:
n = 7
a = 10 m
r = 10.3826 m
R = 11.5238 m
A = 363.391 m2
P = 70 m
x = 128.571 °
y = 51.4286 °

Which polynomial is written in descending order? (2 points) Select one: a. 9 − 3x + 4x2 b. −3x + 9 + 4x2 c. 4x2 − 3x + 9 d. 4x2 + 9 − 3x

Answers

Answer:

Option C. (4x² -3x + 9)

Step-by-step explanation:

Arranging a polynomial in descending order means to arrange the powers of variables of each term in the descending order.

So in the given options only Option C. is in the descending order.

4x² - 3x + 9

This polynomial has the variable x² with maximum degree of 2 at the starting.

Then second variable 3x with degree of 1 and then constant term 9.

Option C. is the correct option.

C.) 4x^2 - 3x + 9 is written in descending order.

compare the functions shown below: f(x) = −3x − 5 g(x) cosine function with y intercept at 0, negative 3 h(x) = 2 cos(2x − π) 4 which function has the greatest y-intercept? (2 points) f(x) g(x) h(x) all three functions have the same y-intercept.

Answers

f(x) = -3x -5 has y-intercept of -5
g(x) has y-intercept of 0
-3hx = 2 cos (2x - π) + 4 => h(x) = -2/3 cos (2x - π) - 4/3

g(x) has the greatest y-intercept.

If the Question is:

f(x) = −3x − 5

g(x) =

cosine function with y intercept at 0, negative 3

h(x) = 2 cos(2x − π) + 4

Which function has the greatest y-intercept?

a. f(x)

b. g(x)

c. h(x)

d. all three functions have the same y-intercept

Then the Answer is C. h(x)

The two cylinders are similar. If the ratio of their surface areas is 9/1.44, find the volume of each cylinder. Round your answer to the nearest hundredth. A.small cylinder: 152.00 m3
large cylinder: 950.02 m3
B.
small cylinder: 972.14 m3
large cylinder: 12,924.24 m3
C.
small cylinder: 851.22 m3
large cylinder: 13,300.25 m3
D.
small cylinder: 682.95 m3
large cylinder: 13,539.68 m3

Answers

r1² π : r2² π = 9 : 1.44
r1 : r 2 = 3 : 1.2
r2 = 1.2 · r1 / 3
r 2 = 0.4 · r1
If the two cylinders are similar than also: h 2 = 0.4 · h 2
V 1 = r1² · π · h1
V 2 = ( 0.4 r1)² π · 0.4 · h1 = 0.064 r1² · π · h1
V 2 ( small cylinder )= 0.064 · V 1 ( large cylinder )
851.22 m³= 13.300.25 m³ · 0.064
Answer: C )

The two cylinders are similar. If the ratio of their surface areas is 9/1.44, find the volume of each cylinder. Round your answer to the nearest hundredth.

Answer: out of all the available options the one that shows the correct volumes for each cylinder is answer choice C) small cylinder: 851.22 m³ & large cylinder: 13,300.25 m³.

I hope it helps, Regards.

You have 160 boxes of cookies. In each case you can pack 8 boxes of cookies. How many cases would be filled from these boxes of cookies ?