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nika2105 [10]
3 years ago
10

License plates are made using letters followed by digits. How many plates can be made if repetition of letters and digits is​ al

lowed
Mathematics
1 answer:
Semmy [17]3 years ago
4 0

How many plates can be made if repetition of leters and digits is allowed? 26*26*10*10=67,600 plates can be made.

this is what i looked up and got sry if its not

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(5 Points)<br> all (1 – 3K)<br> -396<br> 0-374<br> 0 -198<br> 0 -187
Triss [41]

Answer:−3K−395,−374,−198,−187

Step-by-step explanation:

Remove parentheses.

1−3K−396,0−374,0−198,0−187

Simplify  1-3K-3961−3K−396  to  -3K-395−3K−395.

−3K−395,0−374,0−198,0−187

Simplify  0-3740−374  to  -374−374.

−3K−395,−374,0−198,0−187

Simplify  0-1980−198  to  -198−198.

−3K−395,−374,−198,0−187

Simplify  0-1870−187  to  -187−187.

−3K−395,−374,−198,−187

6 0
3 years ago
What is the quotient when 4x3 + 2x + 7 is divided by x + 3?
Arte-miy333 [17]

Answer:

The quotient of this division is (4x^2 -12x + 38). The remainder here would be -26.

Step-by-step explanation:

The numerator 4x^3 + 2x + 7 is a polynomial about x with degree 3.

The divisor x + 3 is a polynomial, also about x, but with degree 1.

By the division algorithm, the quotient should be of degree 3 - 1 = 2, while the remainder shall be of degree 1 - 1 = 0 (i.e., the remainder would be a constant.) Let the quotient be a\,x^2 + b\, x + c with coefficients a, b, and c.

4x^3 + 2x + 7 = \left(a\,x^2 + b\, x + c\right)(x + 3).

Start by finding the first coefficient of the quotient.

The degree-three term on the left-hand side is 4 x^3. On the right-hand side, that would be a\, x^3. Hence a = 4.

Now, given that a = 4, rewrite the right-hand side:

\begin{aligned}&\left(4\,x^2 + b\, x + c\right)(x + 3) \cr =& \left(4x^2 + (b\, x + c)\right)(x + 3) \cr =& 4x^2(x + 3) + (bx + c)(x + 3) \cr =& 4x^3 + 12x^2 + (bx + c)(x + 3)\end{aligned}.

Hence:

4x^3 + 2x + 7 = 4x^3 + 12x^2 + (b\,x + c)(x + 3)

Subtract \left(4x^3 + 12x^2\right from both sides of the equation:

-12x^2 + 2x + 7 = (b\,x + c)(x + 3).

The term with a degree of two on the left-hand side has coefficient (-12). Since the only term on the right hand side with degree two would have coefficient b, b = -12.

Again, rewrite the right-hand side:

\begin{aligned}&\left(-12 x + c\right)(x + 3) \cr =& \left(-12 x+ c\right)(x + 3) \cr =& (-12x)(x + 3) + c(x + 3) \cr =& -12x^2 -36x + (bx + c)(x + 3)\end{aligned}.

Subtract -12x^2 -36x from both sides of the equation:

38x + 7 = c(x + 3).

By the same logic, c = 38.

Hence the quotient would be (4x^2 - 12x + 38).

6 0
3 years ago
C. Mrs. Hampton used 1/3 of a gallon of milk to feed three kittens. If she fed an equal amount
tatyana61 [14]
1/9 I hope this helps you out!
3 0
3 years ago
Read 2 more answers
You travel from city A to city B and back your trip last five and a half hours and you maintain a speed of 64 miles per hour the
malfutka [58]

Answer:

401 MILES

Step-by-step explanation:

miles from A to B:

64 * 5.5 = 352 miles

miles from A to C:

352 + 49 = 401 miles

3 0
3 years ago
​ Commemorative coins come in packs of 15, while coin holders come in packs of 25. What are the least numbers of packs you shoul
Elis [28]

Answer:

5 Commemorative coin packs

3 coin holders

Step-by-step explanation:

5 0
3 years ago
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