How do you do distributive property with mixed numbers ?

19) In the xy-plane, what is the y-intercept of the graph of the equation<br> y=3(x-1)(x+2)?

Dahasolnce [82]

Answer:

- 6

Step-by-step explanation:

Given

y = 3(x - 1)(x + 2) ← expand factors using FOIL

= 3(x² + x - 2) ← distribute by 3

= 3x² + 3x - 6

To find the y- intercept let x = 0, thus

y = 3(0)² + 3(0) - 6 = 0 + 0 - 6 = - 6

Thus y- intercept = - 6 ⇒ (0, - 6 )

3 0

3 years ago

Carrie and brent leave home at the same time. carrie drives due east at a rate of 30 mph, while brent drives due south at a rate

Helga [31]

<h3>They are 268 miles far apart after 4 hours</h3>

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

$\large {\boxed {a = \frac{v - u}{t} } }$

$\large {\boxed {d = \frac{v + u}{2}~t } }$

<em>a = acceleration ( m/s² )</em>

<em>v = final velocity ( m/s )</em>

<em>u = initial velocity ( m/s )</em>

<em>t = time taken ( s )</em>

<em>d = distance ( m )</em>

Let us now tackle the problem !

<u>Given :</u>

v₁ = 30 mph due east

v₂ = 60 mph due south

t = 4 hours

<u>Unknown :</u>

displacement = d = ?

<u>Solution :</u>

$d_1 = v_1 \times t$

$d_1 = 30 ~ mph \times 4 ~ h$

$d_1 = \boxed {120 ~ miles}$

$d_2 = v_2 \times t$

$d_2 = 60 ~ mph \times 4 ~ h$

$d_2 = \boxed {240 ~ miles}$

$d^2 = (d_1)^2 + (d_2)^2$

$d^2 = 120^2 + 240^2$

$d^2 = 72000$

$d = \sqrt{72000}$

$d = 120\sqrt{5} ~ miles$

$d \approx \boxed {268 ~ miles}$

<h2>Conclusion :</h2><h3>They are 268 miles far apart after 4 hours</h3>

<h3>Learn more</h3>

Velocity of Runner : brainly.com/question/3813437
Kinetic Energy : brainly.com/question/692781
Acceleration : brainly.com/question/2283922
The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

6 0

3 years ago

Read 2 more answers

2x+7 =5 is an example of...

tresset_1 [31]

Answer:

This is an example of distribution

Step-by-step explanation:

The reason why is because the equation is linear and if you exclud the y it show that it can distribute.

6 0

3 years ago

Nick made an array that has 10 counters. Draw 4 arrays that he might have made

ELEN [110]

You could draw a 2•5 5•2 10•1 and 1•10

8 0

3 years ago

Read 2 more answers

What is the surface area of a conical (cone) grain storage tank that has a height of 24 meters and a diameter of 16 meters?

nirvana33 [79]

Surface area of cone is a sum of surface of its base and surface of its mantle.

Surface of its base is a circle which surface we will calculate like this:
Sb = pi*r^2 where r is d/2
Sb = 201m^2

Surface of mantle we calculate by:
Sm = pi*l*r where l is length of side of cone.

l = $\sqrt{r^2 + H^2}$ = 25.3
Sm = 635.8m^2

Total suface is:
Sb + Sm = 836.8m^2

3 0

2 years ago