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4 years ago

Solve the following system of equations by substitution.

Mathematics

2 answers:

jasenka [17]4 years ago

5 0

Answer:

The answer is B.(5,10)

Step-by-step explanation:

1. y = 2(5)

y = 10

2.y = -2(5)+20

y = -10+20

y = 10

nlexa [21]4 years ago

3 0

The answer is b (5,10)

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When the range is wide

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3 years ago

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3 years ago

Dave has $11 to spend on a $4 book and two birthday cards (c) for his friends. How much can he spend on each card if he buys the

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3 years ago

6. What are the zeroes for the<br>function<br>f(x) = 2x3 + 12x – 10x2?<br>

agasfer [191]

Answer:

Step-by-step explanation:

f(x) = 2x^3 + 12x – 10x^2 can and should be rewritten in descending powers of x:

f(x) = 2x^3 – 10x^2 + 12x

This, in turn, can be factored into f(x) = x·(x² - 10x + 12).

Setting this last result = to 0 results in f(x) = x·(x² - 10x + 12).

Thus, x = 0 is one root. Two more roots come from x² - 10x + 12 = 0.

Let's "complete the square" to solve this equation.

Rewrite x² - 10x + 12 = 0 as x² - 10x + 12 = 0.

a) Identify the coefficient of the x term. It is -10.

b) take half of this result: -5

c) square this last result: (-5)² = 25.

d) Add this 25 to both sides of x² - 10x + 12 = 0:

x² - 10x + 25 + 12 = 0 + 25

e) rewrite x² - 10x + 25 as the square of a binomial:

(x - 5)² = 13

f) taking the sqrt of both sides: x - 5 = ±√13

g) write out the zeros: x = 5 + √13 and x = 5 - √13.

The three roots are x = 0, x = 5 + √13 and x = 5 - √13.

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3 years ago

Jerry is a judge. He hears 5 cases in 2 3/8 hours. How many cases does he hear per hour

Serggg [28]

Answer:

Jerry does $2.11$ cases per hour (Rounded to 2 decimal places). As we cannot do 0.11 cases. We can say Jerry does 2 cases per hour.

Step-by-step explanation:

to find the number of cases per hour, we have to divide the number of cases by number of hours taken for those cases,

Number of cases per hour = $\frac{5cases}{2\frac{3}{8} hours}$

= $\frac{5}{\frac{19}{8} } \\$ cases per hour

= $\frac{5*8}{19}$ cases per hour

= $\frac{40}{19}$ cases per hour

= $2.11$ cases per hour (Rounded to 2 decimal places)

As we cannot do 0.11 cases. We can say Jerry does 2 cases per hour.

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4 years ago