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2 years ago

Find a linear equation with two variables that, together with the

Mathematics

1 answer:

Marat540 [252]2 years ago

3 0

Answer:

y = x

Step-by-step explanation:

Any equation that describes a different line will be part of a system with exactly one solution. There are an infinite number of possible equations.

Perhaps one of the simplest is ...

y = x

_____

Together with the given equation, this has the solution ...

x = y = 1/15

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Find the value of x

hodyreva [135]

To find the value of x, compare the equal sides, As two angles are equal so the sides opposite to these angles are also equal.
Compare the sides.
9x-8=28
Add 8 to both sides
9x=36
Divide both sides by 9.
x=4

Answer: x=4

5 0

2 years ago

The number of people , d, in thousands applying for medical benefits per week in a particular city can be modules by the equatio

Mekhanik [1.2K]

Answer:

<h2>4773 peoples.</h2>

Step-by-step explanation:

Given the number of people d, in thousands applying for medical benefits per week in a particular city c modeled by the equation d(t)=2.5 sin(0.76t+0.3)+3.8 where t is the time in years, the maximum number of people tat will apply will occur at d(t)/dt = 0

Differentiating the function given with respect to t, we will have;

$d(t)=2.5 sin(0.76t+0.3)+3.8$

First we need to know that differential of any constant is zero.

$Using\ chain\ rule\\\frac{d(t)}{dt} = 2.5cos(0.76t+0.3) * 0.76 + 0\\ \\\frac{d(t)}{dt} = 1.9cos(0.76t+0.3)$

If $\frac{d(t)}{dt} =0$ then;

$1.9cos(0.76t+0.3) = 0\\\\cos(0.76t+0.3) = 0\\\\0.76t+0.3 = cos^{-1} 0\\\\0.76+3t = 90\\\\3t = 90-0.76\\3t = 89.24\\\\t = 89.24/3\\\\t = 29.75years$

To know the maximum number of people in thousands that apply for benefits per year in the city, we wil substitute the value of t = 29.75 into the modeled equation

$d(t)=2.5 sin(0.76t+0.3)+3.8\\d(29.75) = 2.5 sin(0.76(29.75)+0.3)+3.8\\d(29.75) = 2.5 sin(22.61+0.3)+3.8\\\\d(29.75) = 2.5 sin(22.91)+3.8\\\\d(29.75) = 0.9732+3.8\\d(29.75) = 4.7732\\\\$

Since d is in thousands, the maximum number of people in thousands will be 4.7732*1000 = 4773.2 which is approximately 4773 peoples.

3 0

2 years ago

What is the answer to 29b to the 2power+23b to the 2power -b to the 2power -8b to the 2power + 47 b =

algol [13]

Answer:

43b yo the second power+47b

7 0

2 years ago

Angelique Calculated the slope of a line that passed through points (-5,4) and (2,-3) her work is shown below. identify her erro

SOVA2 [1]

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 5, 4 ) and (x₂, y₂ ) = (2, - 3 )

m = $\frac{-3-4}{2-(-5)}$

Her error was subtracting 5 from 2 instead of - 5 from 2

m = $\frac{-7}{2+5}$ = $\frac{-7}{7}$ = - 1 ← corrected solution

8 0

1 year ago

The sum of three consecutive odd numbers is 159.<br> What is the smallest of the three numbers ?

natta225 [31]

Since we don't know where to start, we can always give that a variable which in this case, it's X. Since we are finding the sum of three consecutive odd numbers, we will be skipping numbers so we can add 2 each time. Now, let's set up an equation.

<h2>X + X + 2 + X + 4 = 159</h2><h2 /><h2>3x + 6 = 159</h2><h2> -6 -6 ← subtract 6 on both sides</h2><h2 /><h2> 3x = 153</h2><h2> ÷3 ÷3 ← divide both sides by 3</h2><h2 /><h2> X = 51</h2><h2> X + 2 = 53</h2><h2> X + 4 = 55</h2><h2 />

Therefore, the smallest of our three consecutive integers is 51.

6 0

3 years ago