F(x)=4x^2+2x+6

What does this verse teach about our speech? "Settle it therefore in your hearts, not to meditate before what ye shall answer: F

Ierofanga [76]

B. God will give you the words.

5 0

3 years ago

1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

the answer Part 1) is the option A

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

the answer Part 2) is the option D

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

the answer part 3) is the option D

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

the answer part 4) is the option D

$y=412$

8 0

3 years ago

Read 2 more answers

Dina is getting a new rug for her hallway. The rug is 5/6 meter wide and 9 meters long. What is the area of the rug?

harkovskaia [24]

Answer:

7 1/2 square meters

Step-by-step explanation:

The area of a rectangle is the product of its length and width.

A = LW

A = (9 m)(5/6 m) = 45/6 m² = 7 1/2 m²

The area of Dina's new rug is 7 1/2 square meters.

7 0

3 years ago

Ariane borrows $300 on a 5−year loan. She is charged 5% simple interest per year. How much interest is she charged for 5 years?

AnnyKZ [126]

Answer:

Interest = $75

Total to pay back = $375

Step-by-step explanation:

The total amount she will have to pay back is found by the formula:

= Amount borrowed * (1 + rate * years)

= 300 * ( 1 + 5% * 5)

= $375

The interest is therefore:

= Amount to be paid back - Amount borrowed

= 375 - 300

= $75

6 0

3 years ago

David travels from Building A to Building B. He can either cycle

Lelechka [254]

Answer:

43 minutes

Step-by-step explanation:

Let cycling speed be x and driving speed be y

Equations as per given, considering same distance in both cases:

19x + 8y = 13x + 10y
19x - 13x = 10y - 8y
6x = 2y
3x = y

We see that driving speed is 3 times greater than cycling speed

Then 8 minutes driving = 8*3= 24 minutes of cycling, or 10 minutes of driving = 10*3= 30 minutes of cycling:

19 + 24 = 43 minutes or
13 + 10*3 = 43 minutes is the time to cycle between A and B

3 0

4 years ago