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3 years ago

Distributive 7(x+6)?

Mathematics

2 answers:

Maslowich3 years ago

8 0

Answer:

7x +42

Step-by-step explanation:

7(x+6)

7*x +7*6

7x +42

Pavel [41]3 years ago

4 0

Answer:

7x + 42 i hope this helps! :)

Step-by-step explanation:

we are given the equation 7(x + 6)

we need to distribute the 7 to the x and the 6 to get 7x + 42

so your answer should be 7x + 42

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Help, ASAP! Please!!

Yuliya22 [10]

Answer:

a. Parallel

b. Not parallel

Step-by-step explanation:

Systems which have no solutions are parallel lines. These lines do not intersect and therefore have no solution. Remember, parallel lines have the same slope. Compare the slope in each equation when in y=mx+b format to see if they are parallel.

a. y= 2x + 3 y-2x=-3 becomes y = 2x - 3

m = 2 m= 2

The slopes are the same so these are parallel lines.

b. 3x + y = 2 becomes y= -3x + 2 y = 1/3 x + 1/2

m = -3 m= 1/3

The slopes are different so this is not parallel.

Since -3 and 1/3 are the negative reciprocals of each other. These lines are actually perpendicular.

7 0

3 years ago

Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the

djyliett [7]

Answer:

Option (3)

Step-by-step explanation:

If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.

(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)

= -2x³ + x² + 9x + 12x² - 6x - 54

= -2x³ + 13x² + 3x - 54

Therefore, Option (3) will be the correct option.

8 0

3 years ago

An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh

natima [27]

Answer:

Speed of the plane in still air: $779\; {\rm km \cdot h^{-1}}$ .

Windspeed: $100\; {\rm km \cdot h^{-1}}$ .

Step-by-step explanation:

Assume that $x\; {\rm km \cdot h^{-1}}$ is the speed of the plane in still air, and that $y\; {\rm km \cdot h^{-1}}$ is the speed of the wind.

When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be $(x - y)\; {\rm km \cdot h^{-1}}$ .
When this plane is travelling in the same direction as the wind, the ground speed of this plane would be $(x + y)\; {\rm km \cdot h^{-1}}$ .

The question states that when going against the wind ( $v = (x - y)\; {\rm km \cdot h^{-1}}$ ,) the plane travels $6111\; {\rm km}$ in $9\; {\rm h}$ . Hence, $9\, (x - y) = 6111$ .

Similarly, since the plane travels $7911\; {\rm km}$ in $9\; {\rm h}$ when travelling in the same direction as the wind ( $v = (x + y)\; {\rm km \cdot h^{-1}}$ ,) $9\, (x + y) = 7911$ .

Add the two equations to eliminate $y$ . Subtract the second equation from the first to eliminate $x$ . Solve this system of equations for $x$ and $y$ : $x = 779$ and $y = 100$ .

Hence, the speed of this plane in still air would be $779\; {\rm km \cdot h^{-1}}$ , whereas the speed of the wind would be $100\; {\rm km \cdot h^{-1}}$ .

3 0

1 year ago

Is the product 1.01 1.01 less than or greater than 1?

faust18 [17]

Answer:

greater than 1

Step-by-step explanation:

its greater because 1.01 is greater than 1

8 0

3 years ago

What is the value of (-0.4)^3

Fittoniya [83]

Answer:

-(2/5)^3 or -8/125 or -0.064

Step-by-step explanation:

convert the decimal into a fraction

then use your calculator to find the exact answer

6 0

3 years ago

Read 2 more answers