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2 years ago

Solve the system is of linear equations by substitution.What is the solution to x=2y+7 and 3x+2y=3?

Mathematics

1 answer:

babymother [125]2 years ago

4 0

Answer:

(5/2, -9/4)

Step-by-step explanation:

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Rachel's house sold for $180,000. Her real estate agent received a commission of $10,800. What percentage did her real estate ag

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16.6 repeating it the answer

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3 years ago

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How do the graphs of f (x) = x 2 and g (x)= 3/4 x 2? relate?

Agata [3.3K]

Answer:

$g(x)$ is a horizontal stretch of $f(x)$ by $\frac{3}{4}$ units.

Step-by-step explanation:

The given functions are;

$f(x)=x^2$

and

$g(x)=\frac{3}{4}x^2$

The parent function is $f(x)=x^2$ .

The function $g(x)=\frac{3}{4}x^2$ is a horizontal stretch of $f(x)=x^2$ by $\frac{3}{4}$ units.

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3 years ago

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The formula equals 16t squared is used to approximate the distance s, in feet, that an object falls freely from rest in t seco

Brut [27]

The equation is actually $h(t)=-16t^2+1437$ . Free fall is always -16t^2 as the position function. We are looking for how long it takes the object to hit the ground. In other words, the height of an object is 0 when it is laying on the ground, so how long (t) did it take to get there? We will then set that position equal to 0 and solve for t. $0=-16t^2+1437$ . If we subtract 1437 from both sides and divide by -16, we have $t^2=89.8125$ . Taking the square root of both sides gives us, rounded to the nearest tenth, t = 9.5 or t=-9.5. The 2 things in math that will never EVER be negative are time and distance/length, so -9.5 is out. That means that it took just about 9.5 seconds for the object to fall to the ground from a height of 1437 feet when pulled on by the force of gravity.

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3 years ago

What is the quotient when 2x^3-1 is divided by x - 1?

andrey2020 [161]

Answer:

Step-by-step explanation:

Use synthetic division:

The coefficients of 2x^3 - 1 are {2, 0, 0, -1}. Setting up synthetic division, we get:

1 / 2 0 0 -1

2 2 2

---------------------------

2 2 2 1

Note that the remainder is 1. The same result would be obtained through long division.

The quotient is 2x^2 + 2x + 2 with a remainder of 1.

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3 years ago

Write three consecutive numbers starting with number n+1, where n is natural number. Find the sum of those numbers and prove tha

netineya [11]

Consecutive numbers differ by one, which means that if you start with a certain integer $x$ , you obtain the next integer by adding one.

So, if you start with $n+1$ , the three consecutive numbers are

$n+1,\quad (n+1)+1 = n+2,\quad (n+2)+1 = n+3$

The sum of these three numbers is

$(n+1) + (n+2) + (n+3) = 3n+6$

This number is divisible by 3 because you can write it as

$3n+6 = 3(n+2)$

Note that this is true in general: the sum of three consecutive numbers is always divisible by three, because it is three times the middle number.

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2 years ago