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3 years ago

Evaluate 2(5 + x^2)+ y if x = 3 and y = 2

Mathematics

2 answers:

11Alexandr11 [23.1K]3 years ago

3 0

Answer:

Step-by-step explanation:

Start by substituting

2(5+3²) +2 = ___

Parenthesis

3²= 3 · 3 = 9

add that to 5 = 14

2(14) +2 = ___

2 times 14 = 28.

28 + 2 = 30

victus00 [196]3 years ago

3 0

Answer:

30.

Step-by-step explanation:

2(5+ x^2)+ y

x=3, y=2

Using the given information for x and y and distributing that into the equation, the equation becomes:

2(5+ 3^2)+ 2

Now, use order of operations or PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction) to solve the problem.

The answer you should get is 30. :,)

You might be interested in

When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the future value FV.

In order to see the rule of formation, let's see the value (in $) for the first few years

End of year 0

1,000

End of year 1(capital + interest + new deposit)

1,000*(1.09)+10

End of year 2 (capital + interest + new deposit)

(1,000*(1.09)+10)*1.09 +10 =

$\bf 1,000*(1.09)^2+10(1+1.09)$

End of year 3 (capital + interest + new deposit)

$\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)$

and we can see that at the end of year 50, the future value is

$\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}$

The sum

$\bf 1+1.09+(1.09)^2+...+(1.09)^{49}$

is the sum of a geometric sequence with common ratio 1.09 and is equal to

$\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356$

and the future value is then

$\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564$

The present value PV is

$\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62$

rounded to the nearest hundredth.

5 0

3 years ago

Please help me with this! show that {1,2} ⊆ {x|x^4 - x^3 - x^2 - 5x + 6 = 0}

Llana [10]

The set $\{x\mid x^4-x^3-x^2-6x+6=0\}$ is the set of all values of $x$ that are solutions to the given equation. So all you need to do is check whether $x=1$ and $x=2$ satisfy the equation.

$x=1\implies 1^4-1^3-1^2-5+6=0$

$x=2\implies2^4-2^3-2^2-10+6=0$

The equation holds, so both 1 and 2 are solutions, and hence $\{1,2\}$ is a subset of the solutions.

6 0

3 years ago

Which of the following is a rational number? 8 15 44 45 π

sveta [45]

All of them are, except ' π ' (pi) ... which gives you an idea of why
that one is usually written as a symbol and not as digits.

Here's a useful factoid regarding the other numbers on the list:
-- ANY number that you can write down on paper, completely,
using digits, is a rational number.

4 0

3 years ago

Read 2 more answers

Need help please and show work

Aloiza [94]

3z + 6
3z and 6 has greatest common factor, that is 3. Divide 3z and 6 by the greatest common factor (3).
3z ÷ 3 = z
6 ÷ 3 = 2

So, we could work on the expression as following.
3z + 6
= 3 × z + 3 × 2

From the expression above, we should separate 3 from z and 2 by a parenthesis to make distributive property.
3 × z + 3 × 2
= 3(z + 2)

SUMMARY
3z + 6
= 3 × z + 3 × 2
= 3(z + 2)

7 0

3 years ago

Which equation reprints the slope intercept form of the line below ? Y- intercept = (0,2) slope = -3/7

Ann [662]

Answer:

y = $-\frac{3}{7} x$ + 2