MATHEMATICS HIGH SCHOOL

A system of equation is shown y=-2x+b
y= 3x+b
What value of b is required so that the system has the solution (0,6)
b=
Please no link I need help badly!

Answers

Answer 1
Answer:

Answer:

The answer is 6

Step-by-step explanation:

(0,6)

x=0,y=6

Substituting 0 for x and 6 for y

6=2(0) + b

6=b

or

6 = 3(0)+b

6=b

Therefore, b=6

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If g(x) = 10 + 4x2 + 3x, find g(-2).

Answers

Answer:

g(-2) = 20

Step-by-step explanation:

from my understanding, the equation is

g(x) = 10+4x^(2) +3x\n

to find g(-2), substitute -2 into the x.

g(-2) = 10 +4(-2^(2))+3(-2)\n = 10 + 4(4)-6\n = 10 + 16 - 6\n = 20

Which amount of time is the shortest?3 hours, 50 minutes
250 minutes
270 minutes
4 hours, 10 minutes

Answers

3hrs , 50mins = 230mins
4hrs , 10mins = 250mins

∴ 3hrs and 50mins is the shortest
the answer is the first one . I got the answer by dividing by 60 and see which answer gives me the shortest time. :) hope that help

A light bulb manufacturer randomly tests 1500 bulbs and finds that 2 are defective. How many defective bulbs would be expected in a shipment of 24,000 bulbs?

A.32

B.48

C.120

D.750

Answers

So, this is what I did. 24,000 ÷ 1,500 = 16 × 2 = 32 ← That's the answer.
the correct answer is 32 because i use my own method for this type of problem i divide 24000 by 1500 and get 16 then i double it and get 32 

WHAT is the answers to 2a 2b and 2c ?

Answers

a). The shape has 5 sides. The inside angles of every 5-sided shape (pentagon) add up to 540 degrees. The 3 angles given add up to (110 + 109 + 100) = 319 . The two leftover angles add up to (540 - 319) = 221 degrees. They're not equal, so we can't tell how the 221 breaks down between them. b). The shape has 4 sides. The inside angles of every 4-sided shape add up to 360 degrees. The 3 angles given add up to (85+ 92 + 93) = 270 degrees. The fourth angle is (360 - 270) = 90 degrees, even though it doesn't look like it. c). The shape has 6 sides. The inside angles of every 6-sided shape add up to 720 degrees. The 4 angles given add up to (120 + 110 + 105 + 110) = 445 degrees. The two leftover angles add up to (720 - 445) = 275 degrees. They're not equal, so we can't tell how the 275 breaks down between them.

Use Gauss-Jordan elimination to solve the following linear system.x – 6y – 3z = 4
–2x – 3z = –8
–2x + 2y – 3z = –14

Answers

\begin{cases}x-6y-3z=4&(1)\n-2x-3z=-8&(2)\n-2x+2y-3z=-14&(3)\end{cases}

First eliminate y by adding (1) to three times (3). This gives

(x-6y-3z)+3(-2x+2y-3z)=4+3(-14)\iff -5x-12z=-38

This reduces the system of one of two equations and two unknowns:

\begin{cases}-5x-12z=-38&(1)^*\n-2x-3z=-8&(2)^*\end{cases}

You can eliminate z by subtracting (1)^* and four times (2)^* to get

(-5x-12z)-4(-2x-3z)=-38-4(-8)\iff3x=-6\implies x=-2

Back-substitute to find z and y. You should end up with (x,y,z)=(-2,-3,4).

Answer:

(-2,-3,4)

Step-by-step explanation:

On Monday Bianca spent 4 8/9 hours studying. On Tuesday she spent another 3 5/6 hours studying. What is the combined length of time did she spend studying?

Answers

(4 8/9) + (3 5/6) = (4 16/18) + (3 15/18) = 8 13/18. Hope this helped, but I'm only in fifth grade. Sorry if I'm wrong!!!! ^^
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