All categories

3 years ago

Determine if the ordered pair (6,-6) is a solution of the system of equations.

2 answers:

7 0

4x + 3y = 6 ⇒ -24x - 18y = -36
-6x - 2y = -24 ⇒ -24x - 8y = -96
 -10y = 60
 -10 -10
 y = -6
 4x + 3(-6) = 6
 4x - 18 = 6
 + 18 + 18
 4x = 24
 4 4
 x = 6

The orderd pair (6, -6) is a solution of the system of equations.

stich3 [128]3 years ago

7 0

Change x with 6 and y with -6

4x+3y=6
4*6+3*(-3)=24-18=6

-6x-2y=-24
-6*6-2*(-6)=-36+12=-24

answer is yes

You might be interested in

What is tan 60? A. v3 B. v3/2 C. 1/2 D. 1/v3 E. 2/v3 F. 1

anyanavicka [17]

Answer:

Step-by-step explanation:

Tangent is opp over adjacent (square root 3 over 1 = square root 3)

Hope that helped! :))

7 0

3 years ago

Read 2 more answers

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

3 years ago

The scale on a map reads 3⁄4 inches = 60 miles. If two cities are 2 1⁄2 inches apart on the map, find the actual distance betwee

const2013 [10]

200 miles. 2.5 divided by 3/4 is 3.33333-, multiplying the given by 60 would give us 199.98, which you can round to 200.

8 0

3 years ago

Tom plants 3 seeds.

Rasek [7]

Answer:

A. 64/125

B. 124/125.

Step-by-step explanation:

A). As the events ( germinate or not germinate) are independent we multiply the probabilities.

Prob(All seeds germinate) = 4/5*4/5*4/5 = 64/125.

B). Probability of at least one germinating = 1 - probability that none germinate

Probability of 1 seed not germinating = 1 -45 = 1/5.

So Prob(at least one germinating)

= 1 - (1/5 * 1/5 * 1/5)

= 1 - 1/125

= 124/125.

5 0

4 years ago

Which is bigger 0.17 or 0.165 meters

zavuch27 [327]

Your numbers are .17 and .165 meters

Let me explain each digit value:

Lets start with .17

Decimals are like whole numbers where each placement has a digit value

.1 is the tenths place

.07 is the hundredths place

Lets turn to .165

.1 is the tenths place

.06 is the hundredths place

.005 is the thousandths place

When seeing which decimal is larger, go along the tenths place and move along.

So as you can see
, .17 and .165 start with .1 so you can't see which is bigger by this. Now move on to the next digit. Which is larger? .17 or .16? As you should know, 7 is bigger than 6 so that means .17 is larger

Answer: .17 meters is larger than .165 meters

3 0

4 years ago

Read 2 more answers