All categories

2 years ago

What is the solution of the system of equations? y = –4x + 6 y = –5x – 4

Mathematics

2 answers:

german2 years ago

7 0

Answer: (-10, 46)

Step-by-step explanation:

The given solution of the system of equations :-

$y=-4x + 6-----(1)\\\\ y = -5x -4-------(2)$

Subtract (2) from (2), we get

$0=-5x-(-4x)-4-(6)\\\\\Rightarrow\ 0=-5x+4x-4-6\\\\\Rightarrow\ 0=-x-10\\\\\Rightarrow\ x=-10$

Put value of x in (1) , we get

$y=-4(-10) + 6=40+6=46$

Hence, the solution of the system of equations = (-10, 46)

zaharov [31]2 years ago

6 0

Y= -4x + 6 (-10, 46), (-1.11, 10.44),

y= -5x -4. (-10, 46)

whereas (-10, 46) is the solution for both equations, it is the correct choice

You might be interested in

Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm thick to a hemispherical dome

pogonyaev

The amount of paint is the volume of paint needed.

The amount of paint needed is 0.065312 cubic meters

<h3>How to determine the amount of paint needed</h3>

The volume of a hemisphere is:

$V = \frac 23\pi r^3$

Differentiate the above equation

$V' = 2\pi r^2 r'$

The above equation represents the estimate of the amount of paint needed.

Where:

r represents the radius (r = 52/2 m)
r' represents the thickness (r' = 0.04 cm)

So, we have:

$V' = 2\pi r^2 r'$

$V' = 2 * 3.14 * (52/2\ m)^2 * (0.04cm)$

$V' = 2 * 3.14 * (26\ m)^2 * (0.04cm)$

Express cm as m

$V' = 2 * 3.14 * (26\ m)^2 * (0.0004m)$

$V' = 0.065312 m^3$

Hence, the amount of paint needed is 0.065312 cubic meters

Read more about volumes at:

brainly.com/question/10171109

3 0

1 year ago

Find the first four terms of the sequence given by the following an=57-4(n-1),n=1,2,3

Crazy boy [7]

Answer:

57, 53, 49, 45

Step-by-step explanation:

Substitute for the n for n=1,2,3,4 so the first term is 57-4(1-1) so =57-4(0) so

a(1) = 57-0 = 57 so that is the 1st term

2nd term 57-4(2-1) so =57-4(1) so a(2) = 57-4 = 53, etc.

4 0

2 years ago

Help meeeee!!!!!!! I’ll give you a cookie.

lianna [129]

Answer:

(-5,24)

Step-by-step explanation:

2f+3g-h

first we substitute in the numbers

2(-3)+3(1)-2

-6+3-2

-3-2

-5

Then again

2(5)+3(4)-(-2)

10+12+2

22+2

hope this helps!:)

7 0

2 years ago

Tyler does squats and pushups. He wants to increase the number of each type of exercise by 20% by the end of the month. He curre

Semenov [28]

Answer:

Tyler currently does 40 squats

Step-by-step explanation:

Tyler does squats and pushups.

<u>Currently:</u>

Number of pushups = 25

Number of squats = x

Total number = 25 + x

<u>After increase:</u>

Number of pishups $=25\cdot (1+0.2)=1.2\cdot 25=30$

Number of squats $=x\cdot (1+0.2)=1.2x$

Total number $=30+1.2x$

If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus

$(30+1.2x)-(25+x)=13\\ \\30+1.2x-25-x=13\\ \\1.2x-x=13-30+25\\ \\0.2x=8\\ \\2x=80\\ \\x=40$

6 0

2 years ago

You bought a magazine for $3 and five notepads. You spent a total of $28. How much did each notepad cost

rosijanka [135]

$5. Subtract the cost of the magazine, $3, from the total cost, $28. Now you have $25 then you divide it by the amount of notebooks you have.

6 0

2 years ago