1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lilavasa [31]
3 years ago
8

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

7

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

You might be interested in
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

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 ?<br><br><br> odd<br><br> even<br><br> 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
Other questions:
  • The average high temperature is -67०F and the average low temperature is -81०F. How much higher is the average high than the ave
    13·1 answer
  • Which correlation coefficient best matches the data plotted on the graph?
    15·1 answer
  • Savings account deposit:$1,400rate:5%per year time:3 years
    11·1 answer
  • Rachel’s free-throw average for basketball is 60%. Describe how you can use 10 index cards to model this situation. Then use a s
    10·1 answer
  • A farmer feeds her 4 horses 2 bales of hay. How many bales of hay would the farmer need in order to feed 20 horses?
    10·1 answer
  • Find value of x<br> A.)46<br> B.)80<br> C.)15<br> D.) 26
    10·1 answer
  • (5x-4)+(8x+9)= simply
    10·1 answer
  • Does this figure have symmetry?
    13·1 answer
  • Enter the value of x that makes the equation 3x + 4 + 2x + 2 = -24
    12·2 answers
  • Can someone help me with this pls
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!