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4 years ago

Solve the equation by completing the square. 0=x^2-14x+46

Mathematics

1 answer:

Andru [333]4 years ago

6 0

Answer:

x = 7+√(3), 7-√(3)

Step-by-step explanation:

x^2 - 14x + ___ = -46 + ___

x^2 - 14x + 49 = -46 + 49

(x-7)^2 = 3

√(3) = x-7

x = 7+√(3), 7-√(3)

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Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?

bija089 [108]

The value of f(-6) is -12.2

Explanation:

Given that the function $f(x)=\frac{100}{-10+e^{-0.1\left(x\right)}}$

We need to determine the value of f(-6)

The value of f(-6) can be determined by substituting the value for $x=-6$ in the function and simplify the function.

Hence, let us substitute $x=-6$ in the function, we get,

$f(-6)=\frac{100}{-10+e^{-0.1\left(-6\right)}}$

Let us apply the rule $-\left(-a\right)=a$ , we get,

$f(-6)=\frac{100}{-10+e^{0.1\left(6\right)}}$

Multiplying the numbers, we get,

$f(-6)=\frac{100}{-10+e^{0.6}}$

The value of $e^{0.6}=1.822$

Substituting the value of $e^{0.6}=1.822$ , we get,

$f(-6)=\frac{100}{-10+1.822}$

Subtracting the denominator, we have,

$f(-6)=\frac{100}{-8.178}$

Dividing, we have,

$f(-6)=-12.228$

Rounding off to the nearest tenth, we have,

$f(-6)=-12.2$

Thus, the value of f(-6) is -12.2

4 0

3 years ago

Help plz no links unhelpful answers will get reported use formulas plz. I'm being gneerous

MA_775_DIABLO [31]

Answer:

what's the question?? I b.d ont get it

7 0

3 years ago

Doug estimates that his soccer team will win 7 games this year. The team actually wins 10 games. What is the percent error of Do

baherus [9]

Answer: 30%

Step-by-step explanation:

Percent error = $\dfrac{|\text{Estimated value - Actual value}|}{\text{Actual value}}\times100\%$

Estimated number of games win this year = 7

Actual number of games won = 10

Now , the percent error of Doug’s estimate = $\dfrac{|7-10|}{10}\times100\%= \dfrac{3}{1}\times10\%=30\%$

Hence, the percent error of Doug’s estimate = 30%

6 0

3 years ago

Read 2 more answers

Nichole's rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole

Marysya12 [62]

Answer:

153.9 ft²

Step-by-step explanation:

Given that:

Radius of circular lawn = 7 feets

To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn

Area of a circle, A = πr²

A = π * 7 * 7

A = 153.93804

A = 153.9 ft²

5 0

3 years ago

Work out $216 as a percentage of $600

dusya [7]

Answer:

36%

Step-by-step explanation:

Put it into a fraction:

216/600

Next divide:

216/600= 0.36

Turn the decimal into a percentage:

0.36 = 36%

216 as a percentage of 600 is equal to 36%.

3 0

4 years ago

Read 2 more answers