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Vera_Pavlovna [14]
3 years ago
10

Which statement about y = 3x2 + 11x + 6 is true?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0

Answer:

The zeros are -3 and -2/3 because

y = (x + 3)(3x + 2)

You might be interested in
Expanded notation on algebra<br> 24 x 12 x 12
Delvig [45]

Answer:

3456

Step-by-step explanation:

24x12=288

288x12=3456

4 0
3 years ago
Two kinds of crated cargo, A and B, are to be shipped by truck. Each crate of cargo A is 50 cubic feet in volume and weighs 200
BlackZzzverrR [31]

Answer:

The correct answer is option b)

50a+10b<1000; 200a+360b < 7200; a> 0; b>0

Step-by-step explanation:

We are given that Two kind of crated cargo namely A and B to be shipped by truck.

<u>Cargo A:</u>

Volume of each crate of cargo A = 50 cubic ft

Weight of each crate of cargo A = 200 pounds

Let number of crates of cargo A to be shipped = a

Total volume of 'a' crates of cargo A = 50a cubic ft

Total weight of 'a' crates of cargo A = 200a pounds

<u>Cargo B:</u>

Volume of each crate of cargo B = 10 cubic ft

Weight of each crate of cargo B = 360 pounds

Let number of crates of cargo B to be shipped = b

Total volume of 'b' crates of cargo B = 10b cubic ft

Total weight of 'b' crates of cargo B = 360b

Total volume allowed in the truck is 1000 cubic ft

Total volume of 'a' crates of Cargo A and Total volume of 'b' crates of Cargo B = 50a+10b cubic ft (This sum should be less than volume of truck so that it can fit in the truck)

So, the inequality becomes

50a+10b ....... (1)

Total weight allowed (load limit) in the truck is 7200 pounds

Total weight of 'a' crates of Cargo A and Total weight of 'b' crates of Cargo B = 200a+360b cubic ft (This sum should be less than volume of truck so that it can fit in the truck)

So, the inequality becomes

200a+360b ....... (1)

And number of crates of cargo A and B are always a positive number.

So, a > 0 and b > 0.

So, the correct answer is option b.

<em>b. 50a+10b<1000; 200a+360b < 7200; a> 0; b>0</em>

3 0
3 years ago
Find the missing factor x^2-11x+18=(x-2)( )
tia_tia [17]
I'd use synthetic div. here, with 2 as my divisor:

      ________________
2   /   1    -11    18
                  2   -18
     ----------------------------
         1     -9      0

Note that the coefficients of the missing factor are given here and are 1 and -9.  Thus, (x-9) is the missing factor.
4 0
3 years ago
to estimate the height of the jin mao tower in shanghai , a tourist sights the top of the tower form a mirror that is 86.7 meter
Ray Of Light [21]

Answer:

The height of the tower = 420.48 meters

Step-by-step explanation:

For better understanding of the solution, see the figure attached below :

Let the height of the tower be x meters

Now, using the laws of reflection : angle of reflection = angle of incidence

Also, both the tower and the tourist are standing parallel to each other

⇒ ∠A = ∠i ( Alternate interior angles are equal)

Similarly, ∠D = ∠r ( Alternate interior angles)

But, ∠i = ∠r

⇒ ∠A = ∠D

Also, the tourist and the tower is perpendicular to the ground surface.

⇒ m∠B = m∠E = 90°

Now, in ΔABC and ΔDEC

∠A = ∠D (Proved above)

m∠B = m∠E = 90°

So, by AA postulate of similarity of triangles, ΔABC ~ ΔDEC

As the sides of similar triangles are proportional to each other

\frac{AB}{DE}=\frac{BC}{EC}\\\\\implies\frac{1.92}{x}=\frac{0.4}{87.6}\\\\\implies x=\frac{87.6\times 1.92}{0.4}\\\\\bf\implies x = 420.48\textbf{ meters}

Hence, The height of the tower = 420.48 meters

5 0
3 years ago
What is the GCF of 90 and 190?
IrinaVladis [17]
Let's first find out their factors.

90's factors are : 

1,2,3,5,6,9,10,15,18,30,45,90

190's factors are :

1,2,5,10,19,38,95,190

The common factors of 90 and 190 are :

1,2,5 and 10. 

The greatest one among these is, 10. So the greatest factor of 90 and 190 is 10.




7 0
3 years ago
Read 2 more answers
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