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3 years ago

Solve x+(30/x)-11=0

Mathematics

1 answer:

DedPeter [7]3 years ago

7 0

Answer:

x=6,5

Step-by-step explanation:

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(A) all values at which F has a local maximum: <br><br> (B) all local maximum values of F:

Bingel [31]

Answer:

(a) {-3, 2}

(b) {3, 4}

Step-by-step explanation:

The high points are (-3, 3) and (2, 4).

The x-values at which the function has a local maximum are {-3, 2}.

The local maximum values are {3, 4}.

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2 years ago

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We shall first of all, convert all the numbers to the same base. This means we either;

Convert the fractions to decimals OR

Convert the decimals to fractions

Let us therefore convert the decimals to fractions.

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11 months ago

A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct

KatRina [158]

<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

$Perimeter=2(L+\sqrt{100-L^2})$

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

$10=\sqrt{L^2+W^2}$

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

$10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}$

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

$W=\sqrt{100-L^2}$

Now, we know that the Perimeter of a rectangle is given by:

$Perimeter=2(L+W)$

Here we have:

$Perimeter=2(L+\sqrt{100-L^2})$

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3 years ago

tyrone opens an account at the local bank by depositing $50 of his birthday money. He continues to deposit $50 each month for 5

Pavel [41]

<u>Answer-</u>

<em>The amount will be </em><em>$8944.62</em><em> after 5 years.</em>

<u>Solution-</u>

We know that,

$\text{FV of annuity}=P[\dfrac{(1+r)^n-1}{r}]$

Where,

P = Payment = $50 monthly

r = rate of interest compounded monthly= $3\frac{1}{4}=3.25\%=0.0325$

n = number of period = 5 years = 5×12 = 60 months

Putting the values in the formula,

$\text{FV of annuity}=50[\dfrac{(1+0.0325)^{60}-1}{0.0325}]$

$=50[\dfrac{(1.0325)^{60}-1}{0.0325}]$

$=50[\dfrac{6.8140-1}{0.0325}]$

$=50[\dfrac{5.8140}{0.0325}]$

$=50\times 178.8923$

$=8944.62$

Therefore, the amount will be $8944.62 after 5 years.

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2 years ago

Two identical blue boxes together weigh the same as three identical red boxes together. Each red box weighs 15.2 ounces. How muc

Westkost [7]

Answer:

Each blue box weighs 22.8 ounces

Step-by-step explanation:

8 0

2 years ago

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Solve x+(30/x)-11=0​

Solve x+(30/x)-11=0