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2 years ago

Given the equation y = x – 2, you substitute 5 for x. Check all true statements below.

Mathematics

1 answer:

Annette [7]2 years ago

3 0

The correct value of the given function at x = 5 is y =3.

<h3>What is Equation?</h3>

An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.

Here, the given equation :

y = x - 2

put x = 5 in the given equation, we get

y = 5 - 2

y = 3

Thus, the correct value of the given function at x = 5 is y =3.

Learn more about Equations from:

brainly.com/question/10413253

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Answer:

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3 years ago

Points (0,6) and (-4,y) lie on the line with a slope of 5

Anna [14]

For this case we have that by definition, the slope of the line is given by:

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

According to the statement we have:

$(x_ {1}, y_ {1}) :( 0,6)\\(x_ {2}, y_ {2}): (- 4, y_{2})\\m = 5$

Substituting the values:

$5 = \frac {y_ {2} -6} {- 4-0}\\5 = \frac {y_ {2} -6} {- 4}\\5 * -4 = y_ {2} -6\\-20 = y_ {2} -6\\-20 + 6 = y_ {2}\\y_ {2} = - 14$

Thus, the value of $y_ {2} = - 14$

Answer:

$y_ {2} = - 14$

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3 years ago

How are discontinuities and zeros created in rational expressions, and in what ways can they be accounted for graphically?

pshichka [43]

Discontinuities can be recognized by observing at asymptotes. An asymptote is a line where the space between the curve and the line go to zero as single or both of the x or y coordinates inclines to infinity. Graphically, they're holes in the graph. Zeroes are points wherever the graph hits the x axis.

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4 years ago

Maria has decided to invest to help with her retirement savings. How much would she have to invest to have $113,400 after 20 yea

Ipatiy [6.2K]

Answer:

$56,226

Step-by-step explanation:

x = investment

Earning interest of 3.57% is the equivalent of multiplying the initial balance (investment) by 1.0357;

Over 20 years, the new balance can be found by multiplying the initial balance by (1.0357)²⁰;

We can formulate an equation to solve to get the initial investment:

x(1.0357)²⁰ = 113400

(2.01687752)x = 113400

x = ¹¹³⁴⁰⁰/₍₂.₀₁₆...₎

x = 56225.5263 → 56226

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3 years ago