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3 years ago

Tao uses elimination to solve the following system of linear equations.

Mathematics

2 answers:

olasank [31]3 years ago

8 0

Answer:

(0,4) or A

Step-by-step explanation:

Edge 2021

Wewaii [24]3 years ago

5 0

Given:

The system of equation is:

$-2x+4y=16$

$2x+2y=8$

To find:

The solution of the given system of equations.

Solution:

We have,

$-2x+4y=16$ ...(i)

$2x+2y=8$ ...(ii)

Add (i) and (ii) to eliminate the variable x.

$6y=24$

$y=\dfrac{24}{6}$

$y=4$

Putting $y=4$ in (ii), we get

$2x+2(4)=8$

$2x+8=8$

$2x=8-8$

$2x=0$

Divide both sides by 2.

$x=0$

Therefore, the solution of given system of equations is (0,4). Hence, the correct option is A.

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Find the domain and range of the exponential function h(x) = 125x.

kirill [66]

H(x) = 125^x

Domain: all the real numbers (from negative infinity to infinity)

Range: all the positive real numbers.

As x decreases 125^x decreases approaching to 0. The function will never reach the value 0 but will approximate to it as x goes to negative infinity. The rate of decreasing gets lower and lower, with a limit of zero, when x becomes more and more negative.

As x increases 125^x increases indefinetely and at an increasing rate. That means that the increase is accelerated (the bigger the value of x the bigger the rate of increasing).

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Read 2 more answers

Major league baseball salaries averaged $1.5 million with a standard deviation of $0.8 million in 1994. suppose a sample of 100

seropon [69]

Answer: The probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.

Explanation:

Step 1: Estimate the standard error. Standard error can be calcualted by dividing the standard deviation by the square root of the sample size:

$SE=\frac{0.8}{\sqrt{100}}=\frac{0.8}{10} = 0.08$

So, Standard Error is 0.08 million or $80,000.

Step 2: Next, estimate the mean is how many standard errors below the population mean $1 million.

$\frac{1 - 1.5}{0.08}$

$=-6.250$

-6.250 means that $1 million is siz standard errors away from the mean. Since, the value is too far from the bell-shaped normal distribution curve that nearly 100% of the values are greater than it.

Therefore, we can say that because 100% values are greater than it, probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.

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3 years ago

An ant has a mass of approximately 4 × 10–3 grams and an elephant has a mass of approximately 8 x 106 grams. About how many time

Butoxors [25]

Ant's mass: 4 x 10 - 3
Elephant's mass: 8 x 106

First, we should evaluate these expressions by using PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. From P to S is the order that we must follow these steps.

So first for the ant's mass, we have to multiply first since the M comes before the S, resulting in 40 - 3 grams.
Next we have to subtract, leading us to getting 37.

For the elephant since there is only one operation, all we have to do is multiply, which equals 848.

In order to see how many times larger the elephant is than the ant, we have to divide the elephant's mass by the ant's.
848/37 = 22.9

Since you only want an approximate answer, you can put down 23 or even go a bit more vague and put down 20.

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3 years ago

Sonal went to school for 219 days in a full year. if her attendance is 75 percent find the number of days on which the school wa

Charra [1.4K]

Sonal went to school for 219 days in a full year. if her attendance is 75 percent find the number of days on which the school was open

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