All categories

3 years ago

Question 5

Mathematics

1 answer:

nadezda [96]3 years ago

4 0

When you distribute you should get
$12 {x}^{2} + 8x - 3x - 2$
Simplify to get
$12 {x}^{2} + 5x - 2$
Answer 2 is correct

You might be interested in

Demetrius deposits $120 iinto his account. One week later he withdraws $36. Write an addition sentence to represent this situati

Zolol [24]

Answer:

Demetrius's account is $84 higher after the two transactions

Step-by-step explanation:

Let

x -----> original amount in Demetrius's account

y ----> amount in Demetrius's account after the deposit and the withdraws

we know that

The amount in Demetrius's account after the two transactions must be equal to the original amount in Demetrius's account plus the deposit minus the withdraws

$y=x+120-36$

$y=x+\$84$

therefore

Demetrius's account is $84 higher after the two transactions

3 0

4 years ago

Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6

Vilka [71]

9514 1404 393

Answer:

1. the longer frame (B) has the shorter width

2. the shorter width is 6 3/7 inches, area divided by length

Step-by-step explanation:

The relation between area, length, and width is ...

A = LW

Then the width is ...

W = A/L . . . . . inversely proportional to length

1. Since length and width are inversely proportional (when area is constant), the shorter width will be associated with the longer length. Frame B will have the shorter width.

2. The width of frame B is ...

W = A/L = (45 in²)/(7 in) = 45/7 in = 6 3/7 in

5 0

3 years ago

The angle of elevation from L to K measures 39°. If KL = 12, find JL. Round your answer to the nearest tenth.

WITCHER [35]

Answer is C=9.3

Pls find attached file

4 0

3 years ago

Read 2 more answers

a village having a population of 4000, requires 150 litres of water per head per day. it has a tank measuring 20m x 15m x 6m. fo

allochka39001 [22]

The water will last for 3 days

Solution:

Given that, village having a population of 4000, requires 150 litres of water per head per day

Let us first find the volume of tank

The tank measuring 20m x 15m x 6m

Length = 20 m

Breadth = 15 m

Height = 6 m

$volume\ of\ tank = length \times breadth \times height$

$Volume\ of\ tank = 20 \times 15 \times 6 = 1800$

Thus volume of tank is 1800 cubic meter

From given,

Water required per person per day = 150 liters

Therefore, water required for 4000 people per day is:

$\rightarrow 4000 \times 150 = 600000 \text{ liters }$

Convert to meters

$600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3$

How many days will the water of this tank last?

$\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}$

$\text{Number of days water will last } = \frac{1800}{600} = 3$

Thus the water will last for 3 days

5 0

3 years ago

Indicate a general rule for the n th term of this sequence. 6a, 3a, 0, -3a, -6a, . . .

GrogVix [38]

Hello :
(-6a)-(-3a) =(-3a)-(0) = (0)-(3a) = (3a)-(6a) = -3a (arthmetic sequence, the common - diff is : d= -3a the first term is : U1 = 6a
a general rule for the n th term is : Un =U1+(n-1)d
Un = 6a +(n-1)(-3a) =
Un = 6a -3an+3a
Un = -3an +9a

3 0

3 years ago