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worty [1.4K]
3 years ago
6

Factor this polynomial. -3x^2-5x-2

Mathematics
1 answer:
vovikov84 [41]3 years ago
3 0

Answer:

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

Step-by-step explanation:

Lets factor the trinomial -3x^2-5x-2 step-by-step:

Step 1. Since all the terms are negative, we can factor -1 out

-3x^2-5x-2=-1(3x^2+5x+2)

Step 2. Split the middle term of 3x^2+5x+2

5x=3x+2x, so 3^2+5x+2=3x^{2} +3x+2x+2

Step 3. Group common terms

(3x^2+2x)+(3x+2)

Step 4. Factor each parentheses

x(3x+2)+(3x+2)

Step 5. Factor the common binomial

(3x+2)(x+1)

Now, we can put it all together:

-3x^2-5x-2=-(3x+2)(x+1)

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Suppose that an object moves along the y-axis so that its location is y=x2+3x at time x. (Here y is in meters and x is in second
vfiekz [6]

Answer:

a) 13 m/s

b) (15  + h) m/s

c) 15 m/s

Step-by-step explanation:

if the location is

y=x²+3*x

then the average velocity from 3 to 7 is

Δy/Δx=[y(7)-y(3)]/(7-3)=[7²+3*7- (3²+3*3)]/4= 13 m/s

then the average velocity from x=6 to to x=6+h

Δy/Δx=[y(6+h)-y(6)]/(6+h-6)=[(6+h)²+3*(6+h)- (6²+3*6)]/h= (2*6*h+3*h+h²)/h=2*6+3= (15 + h) m/s

the instantaneous velocity can be found taking the limit of Δy/Δx when h→0. Then

when h→0 , limit Δy/Δx= (15 + h) m/s = 15 m/s

then v= 15 m/s

also can be found taking the derivative of y in x=6

v=dy/dx=2*x+3

for x=6

v=dy/dx=2*6+3 = 12+3=15 m/s

7 0
3 years ago
Can you please help me answer this​
lesya692 [45]

9514 1404 393

Answer:

  (a)  Not congruent

Step-by-step explanation:

Angles are congruent, which means the triangles are <em>similar</em>. We need to know at least one pair of corresponding sides is congruent in order to say the triangles are congruent. No sides are marked, so we must conclude ...

  Not Congruent

8 0
2 years ago
Please help me with this question
Lady bird [3.3K]

Answer:

Option B y=3x -2 is the answer.

Step-by-step explanation:

An easy way to quickly figure it out is to find the y-intercept of the graph. So, from the graph you can see that the line cuts the y axis at -2. Therefore, as per the equation of a straight line, y=mx+c

option B shows that the y intercept is -2. Thus option B is the answer to this question.

7 0
3 years ago
Yoo wsg whats he units please tell meeee
dimaraw [331]

Answer:

wsp, answer is 5,5 i'm pretty sure

Step-by-step explanation:

or its 0.5

6 0
2 years ago
Question 8<br> Find the value of "X". Round to the nearest tenth.
jekas [21]

Answer:

8

Step-by-step explanation:

The intersecting chord theorem is expressed as;

7 * x = 4 * 14

7x = 56

Divide both sides by 7

7x/7 = 56/7

x = 8

Hence the value of x is 8

5 0
2 years ago
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