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3 years ago

If someone was born 49 months ago, in which year were they born?

Mathematics

1 answer:

Vladimir79 [104]3 years ago

8 0

2014 is 49 months ago

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KMZ~ KDH; find z. F 21 D 6x + 3 E 17 G 8x-1 C

Drupady [299]

Answer:

x=8

Step-by-step explanation:

Triangle DCE is similar to EGF

CE/EF=DE/EG

Substitute

(8x-1)/21=(6x+3)/17

Cross multiply

(8x−1)*(17)=(6x+3)*(21)

136x−17=126x+63

Subtract 126x from both sides

10x−17=63

Add 17 to both sides.

10x−17+17=63+17

10x=80

Divide both sides by 10.

x=8

6 0

3 years ago

How do i do 3 part a ?

WINSTONCH [101]

In general the binomial expansion is

$(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0$

So in our case, because we want ascending powers of x we'll write,

$(-3x + 1)^{11} = {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9 + {11 \choose 3 } (-3x)^3 1^8 + ...$

We need to calculate the binomial coefficients:

${11 \choose 0} = 1$

${11 \choose 1} = 11$

${11 \choose 2} = \dfrac{11 \times 10}{2} = 55$

${11 \choose 3} = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165$

$(-3x+1)^{11} = 1 (-3x)^0 1^{11} + 11(-3x)^{1} 1^{10} + 55 (-3x)^2 1^{9} + 165 (-3x)^3 1^8 + ...$

$(1-3x)^{11} = 1 -33 x + 495 3x^2 - 4455 x^3+ ...$

6 0

3 years ago

The curve formed by a quadratic equation is called a _________

alekssr [168]

The curve formed by a quadratic equation is called a PARABOLA

3 0

3 years ago

If you live in Dallas, then you live in Texas

viktelen [127]

Answer:

The inverse statement is given as follows;

If you do not live in Dallas, then you do not live in Texas

False

The converse statement is given as follows;

If you live in Texas then you live in Dallas

False

The contrapositive statement is given as follows;

If you do not live in Texas, then you do not live in Dallas

True

The biconditional statement is given as follows;

You live in Dallas, if and only if, you live in Texas

True

Step-by-step explanation:

5 0

3 years ago

The total cost of hiring paul the plumber is a function of the required number of hours needed to complete the repair. Paul char

DiKsa [7]

Paul surely charges 75 dollars, and then he adds 40 dollars per hours. This means that the expression for the money he asks is

$m = 75+40h$

where $m$ is the amount of money and $h$ is the number of hours.

Since $h$ can be at most 8, this is the case that generates the highest money, so if we plug $h=8$ we have

$m = 75+40\cdot 8 = 75 + 320 = 395$

4 0

3 years ago