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Ksju [112]
3 years ago
11

Which expression is equivalent to (x2 – 2x)(3x^2 + 4x – 7)?

Mathematics
1 answer:
Viktor [21]3 years ago
6 0

Answer:

3x^4-2x^3 + (-15)x²-14x

Step-by-step explanation:

hello :

(x² – 2x)(3x² + 4x – 7)=3x^4+4x^3-7x²-6x^3-8x²-14x

= 3x^4+(4-6)x^3 + (-7-8)x²-14x

= 3x^4-2x^3 -15x²-14x

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The scientists at ChemEx Research use chemical storage tanks.
statuscvo [17]

Answer:

395149.22 cubic inches.

Step-by-step explanation:

The volume of a tank with length (L), width (W) and height (H) is given by

V = LWH ........ (1)

Now, the interior dimensions of a tank are 82.5 inches long, 58.5  inches wide, and 81.875 inches tall.

So, L = 82.5 inches, W = 58.5 inches and H = 81.875 inches.

Therefore, V = (82.5 × 58.5 × 81.875) = 395149.22 cubic inches.

Hence, the approximate volume of the tank is 395149.22 cubic inches. (Answer)

5 0
3 years ago
F two angles have the same vertex, then they are adjacent.
arlik [135]
Are you asking if it's true or false?
Because it's false, they are not necessarily adjacent.
4 0
3 years ago
A man sells a type of nut for $7 per pound and a different one for $4.20 per pound, how much of each type should be used to make
qwelly [4]

Answer:

a type nut is 10 pounds

a different one is 14 pounds

Step-by-step explanation:

let a type of the nut be represented by t

Let a different one be represented by d

a type of nut cost $7 per pound

a different one cost $4.20 per pound

The cost of the mixture for 24 pounds = 5.37 * 24

= $128.88

t + d = 24 ........(1)

7t + 4.2d = 128.88 ..........(2)

From equation (1), t = 24 - d

Put t = 24 - d in equation 2

7(24 - d) + 4.2d = 128.88

168 - 7d + 4.2d = 128.88

168 - 2.8d = 128.88

-2.8d = 128.88 - 168

-2.8d = -39.12

d = -39.12 / -2.8

d= 13.97

d = 14 pounds

t = 24 - d

t = 24 - 14

t = 10 pounds

A type nut is 10 pounds. A different one is 14 pounds

5 0
4 years ago
Read 2 more answers
Classify the following is rational or irrational(a) √45​
marshall27 [118]

The numbers that can be expressed in the form of a fraction are called rational numbers. While that numbers that cannot be expressed in the form of a fraction are called irrational numbers.

\sqrt{45} =\sqrt{3 \times 3 \times 5}

\sqrt{45} =3\sqrt{5}

3\sqrt{5} is an irrational number, it cannot be expressed in the form of a fraction.

3 0
3 years ago
Jacob and Ali want to run from one corner of a football field to the opposite corner. The rectangular football field is 50 yards
svet-max [94.6K]

Answer:

Jacob ran 40 yards more than Ali.

Step-by-step explanation:

Football field is in the shape of a rectangle having dimensions 120 yards × 50 yards

Since Jacob runs around the perimeter of the field from one corner to other corner, therefore, distance run by Jacob = (\text{Length+width})

Distance run by Jacob = 50 + 120 = 170 yards

Ali runs through the middle of the field diagonally on a straight line.

Therefore, distance covered by Ali = \sqrt{\text{length}^{2}+\text{width}^{2}}

= \sqrt{(50)^{2}+(120)^{2}}

= \sqrt{2500+14400}

= \sqrt{16900}

= 130 yards

Now difference between the distance covered by Jacob and Ali

= 170 - 130

= 40 yards

Therefore, Jacob ran 40 yards more than Ali.

7 0
3 years ago
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