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2 years ago

What is the answer to thiss

Mathematics

1 answer:

lana [24]2 years ago

5 0

Hi Student!

This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression. So let's plug in the values and solve.

Plug in the values

$m^2 + 5$

$(9)^2 + 5$

Factor out the exponent

$(9*9) + 5$

$81 + 5$

Combine

$86$

Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.

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Solve 5x^2 - 7x + 2 = 0 by completing the square.

Reika [66]

Answer: The correct option is (c) $\dfrac{49}{100}.$

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:

$5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)$

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

$5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.$

So,

$x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.$

Thus, the required solution is $x=1,~-\dfrac{2}{5}.$ and the value of the constant added is $\dfrac{49}{100}.$

Option (c) is correct.

3 0

3 years ago

The Rule of 72 is a useful approximation for many interest rates and periods for the time it takes a lump sum to double in value

iren2701 [21]

Answer:

The number of years to double the lump sum in value is;

N = 72/10 = 7.20

N = 7.20 years

Step-by-step explanation:

Using the rule of 72 for the approximation:

The formula for rule of 72 is;

Number of years to double = 72/interest rate in percentage

Given;

Interest rate = 10%

The number of years to double the lump sum in value is;

N = 72/10 = 7.20

N = 7.20 years

3 0

3 years ago

Solve. x2 – 10x + 21 < 0

Marysya12 [62]

Answer:

(3,7)

Step-by-step explanation:

4 0

3 years ago

earned $4200 and earned $174 in interest if one earns 3.5% and the other 4.5 % how much was invested at each rate

Leno4ka [110]

X + y = 4200 so x = 4200 - y
0.035x + 0.045y = 174

substitute x = 4200 - y into 0.035x + 0.045y = 174

0.035x + 0.045y = 174
0.035(4200 - y) + 0.045y = 174
147 - 0.035y + 0.045y = 174
0.01y = 27
y = 2700

x + y = 4200
x = 4200 - 2700
x = 1500

answer

$1500 in 3.5%
$2700 in 4.5%

8 0

3 years ago

The function P(x)=2x+1 is dilated by the function I(x)=1/2P(x). Which function rule represents I(x)?

blsea [12.9K]

Answer:

I(x)=x+1

Step-by-step explanation:

4 0

2 years ago