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3 years ago

What number would you add to both sides of x2 + 7x = 4 to complete the square? o 22

Mathematics

1 answer:

Vika [28.1K]3 years ago

4 0

Answer:

49/4

Step-by-step explanation:

x^2 + 7x = 4

Take the coefficient of x

Divide by 2

7/2

Square it

(7/2) ^2 = 49/4

Add this to each side

x^2 + 7x +49/4= 4+49/4

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Calculate the (modeled) probability P(E) using the given information, assuming that all outcomes are equally likely.

Luba_88 [7]

The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)= (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

Learn more about the PROBABILITY here brainly.com/question/25870256

#SPJ4

5 0

1 year ago

If the first number is increased by 7 and the second number is reduced by 6 times, the sum of these numbers is 29.

Marta_Voda [28]

Answer:

First number = 20

Second number = 12

Explanation:

Let the 1st number be x

Let the 2nd number be y

=====================

Condition 1

$\sf \rightarrow x + 7 + \dfrac{y}{6} = 29$

$\rightarrow \sf x=-\dfrac{y}{6}+22$

=====================

Condition 2

$\rightarrow \sf 2y - (x - 5) = 9$

$\rightarrow \sf x = 2y -4$

=====================

Substitute equations

$\rightarrow \sf -\dfrac{y}{6}+22 = 2y-4$

$\rightarrow \sf y=12$

=====================

Find value of 1st number

$\rightarrow \sf x = 2y - 4$

$\sf \rightarrow x = 2(12) - 4$

$\rightarrow \sf x = 20$

7 0

2 years ago

Anyone know this? Will give brainiest!

GrogVix [38]

The answer to this is D!!!!

3 0

3 years ago

Which answer describes the function f(x)=x^5+2x ? odd even neither

alekssr [168]

Answer:

Odd function

Step-by-step explanation:

The given function is $f(x)=x^5+2x$

We know that:

The function is even if f(-x) = f(x)

The function is odd if f(-x)=-f(x)
If the function doesn't satisfy these two properties then it is neither odd nor even.

Hence, we substitute x = -x to find f(-x)

$f(-x)=(-x)^5+2(-x)\\=-x^5-2x\\=-(x^5+2x)\\=-f(-x)$

Since, f(-x)=-f(x). Hence, the function is odd.

3 0

3 years ago

Read 2 more answers

A school gymnasium is being remodeled. The basketball court will be similar to an NCAA basketball court, which has a length of 9

valkas [14]

Answer:

Perimeter of NCAA court=288 feet

Perimeter of new court=259.2 feet

Step-by-step explanation:

We are given that

Length of NCAA court, l=94 feet

Width of NCAA court, b=50 feet

Width of new court, b'=45 feet

We have to find the perimeter of an NCAA court and new court in the school.

Perimeter of NCAA court= $2(l+b)$

Perimeter of NCAA court= $2(94+50)$ feet

Perimeter of NCAA court=288 feet

When two rectangles are similar then the ration of their corresponding sides are equal.

Using the property

$\frac{Perimeter\;of\;NCAA\;court}{Perimeter\;of\;new\;court}=\frac{Width\;of\;NCAA\;court}{Width\;of\;new\;court}$

$\frac{288}{Perimeter\;of\;new\;court}=\frac{50}{45}$

Perimeter of new court= $\frac{288\times 45}{50}$ feet

Perimeter of new court=259.2 feet

6 0

3 years ago