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Phantasy [73]
2 years ago
11

Express as a trinomial (3x + 8)(2x + 1)

Mathematics
1 answer:
NeX [460]2 years ago
8 0

Answer:

6x^2+ 19x+8

Step-by-step explanation:

(3x+8)(2x+1) use foil method which gives you,

6x^2+16x+3x+8 then combine like terms which gives you,

6x^2+ 19x+8.

You might be interested in
The price of a liter of milk increased 10% compared with last year . If the new price is $1.21 per liter , what was last years p
Alex Ar [27]

Answer:

$1.1

Step-by-step explanation:

First take if 110% is equals to $1.21 what about 100%

1.21×100=121÷110= $1.1

5 0
3 years ago
He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. The day before, he drank 4 small bottles and 1 large bot
AVprozaik [17]

Answer: the small bottle holds 15 ounces while the large bottle holds 23 ounces.

Step-by-step explanation:

Let x represent the number of ounces that a small bottle holds.

Let y represent the number of ounces that a large bottle holds.

He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. It means that

2x + 2y = 76 - - - - - - - - - - - - 1

The day before, he drank 4 small bottles and 1 large bottle, for a total of 83 ounces. This means that

4x + y = 83 - - - - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

4x + 4y = 152

4x + y = 83

Subtracting, it becomes

3y = 69

y = 69/3 = 23 ounces

Substituting y = 23 into equation 1, it becomes

2x + 2 × 23 = 76

2x + 46 = 76

2x = 76 - 46 = 30

x = 30/2 = 15 ounces

4 0
3 years ago
7 - 8x + 22<br> What does X equal!<br> x =?
VashaNatasha [74]

Answer: x = -3.625 or -29/8

Step-by-step explanation:

7-8x+22

1. -Set it equal to 0.

7-8x+22=0

2. Subtract 7 and 22 from both the left and right sides.

7-8x+22=0

-7 -22      -7 -22

8x = -29

4. Divide both sides by 8.

8x=-29

8       8

x= -3.625

Leave it in fraction form if decimal is unacceptable.

hope this helps.

3 0
3 years ago
PLEASE HELP ME, I HAVE BEEN WAITING FOR A DAAYY!! How old am i if 400 reduced by 3 times my age is 244?
Vlad1618 [11]

Answer:

52 years

Step-by-step explanation:

Let

Your age = x

3 times your age = 3 * x

= 3x

The equation can be written as:

400 - 3x = 244

400 - 244 = 3x

156 = 3x

Divide both sides by 3

x = 156/3

x = 52

Therefore,

Your age is 52 years

4 0
2 years ago
[4]
Tanya [424]

Answer:

Angle ACD = 38°

Step-by-step explanation:

The full, correct question is presented the attached image to this solution.

Given

Point O is the centre if the circle

Points A, B, C and D are points on the circle

Angle AOB = 140°

Angle OAC = 14°

Angle AOB = 2 × (Angle ACB) [angle subtended at the centre of the circle is twice the angle subtended at the circumference of the circle)

140° = 2 × (Angle ACB)

Angle ACB = (140°/2) = 70°

(Angle AOB) + (Angle OAB) + (Angle ABO) = 180° [sun of angles in a triangle is 180°]

But Angle OAB = Angle ABO = a [base angles of an iscosceles triangle are equal since OA and OB are both radii for the circle O)

(Angle AOB) + (Angle OAB) + (Angle ABO) = 180°

140° + a + a = 180°

2a = 40°

a = (40/2) = 20°

Angle OAB = Angle ABO = 20°

Angle CAB = (Angle OAC) + (Angle OAB) = 14° + 20° = 34°

Triangle ADC is an iscosceles triangle, hence,

Angle DAC = Angle ACD = x [base angles of an iscosceles triangle are equal]

But

(Angle DCB) + (Angle DAB) = 180° [Opposite angles of a cyclic quadilateral (a quadilateral inscribed in a circle) sum up to give 180°]

Angle DCB = (Angle DCA) + (Angle ACB) = (x + 70°)

Angle DAB = (Angle DAC) + (Angle CAB) = (x + 34°)

(Angle DCB) + (Angle DAB) = 180°

(x + 70°) + (x + 34°) = 180°

2x + 104° = 180°

2x = 180° - 104° = 76°

x = (76°/2) = 38°

Angle DAC = Angle ACD = 38°

Angle ACD = 38°

Hope this Helps!!!

7 0
2 years ago
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