Solve the Quadratic

Solve for x. Write in simplified radical form.

x^2– 7x – 4 = 0

Solution 1:
Solution 2:

Answers

Answer 1

Answer:

[tex]solution 1: \ \frac{7+\sqrt{65}}{2};[/tex]

[tex]solution2: \ \frac{7-\sqrt{65} }{2}.[/tex]

Step-by-step explanation:

x²-7x-4=0;

D=[b²-4ac]=49+16=65.

[tex]\left[\begin{array}{ccc}x=\frac{7+\sqrt{65}}{2} \\x=\frac{7-\sqrt{65}}{2} \end{array}[/tex]


Related Questions

No links please! Which expression has the same value as
Look below

Answers

Answer:

-5 1/3 - 3 1/3

Step-by-step explanation

both expressions equal -8 2/3

1. Complete the problem by using your calculator. Round your answer to three decimal places.
If f(x)=x^3– 7x^2+ 3 find f(-2) and f(3/4)
a. f(-2) = 3 and f(3/4)= 2.728
b. f(-2)= 3 and f(3/4)= 10
c. f(-2)=-33 and f(3/4)=-0.516
d. f(-2)= 7 and f(3/4)= 21
e. f(-2)= 10 and f(3/4)=-0.968
nhing utility Round

Answers

Answer:

c.

Step-by-step explanation:

Plug in -2 for x ....

f(x) = -2^3 - 7(-2)^2 + 3

     = -8 - 28 + 3

     = -36 + 3

     = -33

Plug in 3/4 for x ....

f(x) = 3/4^3 - 7(3/4)^2 + 3

     = 27/64 - 63/16 + 3

The put in decimals ....

27/64 = .422

63/16 = 3.938

Put the decimals back into the equation ....

     = .422 - 3.938 + 3

     = -3.516 + 3

     = -.516

25 points! Help (Vectors)

Answers

Answer:

[tex]7\cos(30^{\circ})[/tex]

Step-by-step explanation:


Please help if you can!

Answers

Answer:

(0 ; -3)

Step-by-step explanation:

The y-intercept is where the line touches the y axis meaning that x is 0.

Answer:

-3 by the looks of it.

Step-by-step explanation:

The line intercepts at the y-intercept (the vertical and or straight up and down line) at -3.

PLEASEEEE HELP! MY MOM IS GONNA KILL ME

Answers

Answer:

16

Step-by-step explanation:

Since the perimeter of the rectangle is 80, we can set up the perimeter formula:

80=2L+2W=2(3x+3)+2(2x+2)=6x+6+4x+4=10x+10

10x=70

x=7

AB=2x+2=2(7)+2=14+2=16

Answer:

AB= 16

Step-by-step explanation:

2x+2+3x+3=40

Add like terms: 2x+3x= 5x and 2+3=5

New equation: 5x+5=40

Solve: 40-5= 35

35 divided by 5= 7

Now we know that x is equal to 7.

2(7)+2= 16

Side DC equals 16.

Side AB has the same length as side DC since it's a rectangle.

Side AB equals 16.

Let's check: 16+16=32 (side DC and side AB)

80-32=483(7)+3= 24

24 must be the length of the other sides.

24+24= 48

So, when you add all the sides together...

16+16+24+24= 80

You get 80, the perimeter!

I hope this helped!

Find the surface area of the sphere.


Answers

Answer:

R is 4*Pi*R2


A textbook store sold a combined total of 294 physics and psychology textbooks in a week. The number of psychology textbooks sold
was 42 less than the number of physics textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

105 psychology textbooks. 189 physics textbooks.

During the 2005 football season,team tackle beat team sack by 10 points. If their combinded scores totaled 36 find the individual team scores

Answers

Answer:

Step-by-step explanation:

t = tackle score

s = sack score

t = s + 10

t + s = 36

s + 10 + s = 36

2s = 26

s = 13 points

t = 13 + 10 = 23 points

yo if someone helps me with this ill give u brainliest​

Answers

Answer:

Step-by-step explanation:

a      15090

b      4255

c      dairy heifers and bulls

d      9975/15090

e      how many steers there are compared to bulls

Answer:

a) 15,090, addition

b) 4,255, subtraction

c) bulls and beef heifers for breeding

d) 5115/15,090 or 15/90

e) How many more calves are there than steers?

3930

Step-by-step explanation:

The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend.

"Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle.

"The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter's total charge at a cost of $4.50 per gallon plus a $5.00 refueling charge."

Tim is running extremely late and has just 5 minutes to return his rental car to the agency. The fuel tank in the car is half empty. It was full when he picked it up. (The car has a 12-gallon fuel tank.) He doesn't think he can get gas and get to the agency to return the car in time. Returning the car a day late will result in an extra daily rental charge of $32.00 and refueling the car on his own will cost $2.59 per gallon at the local gas station. Which of the following statements is true?
a.
It would be cheaper to refuel the car and return it a day late.
b.
It would be cheaper to return the car on time and pay the refueling costs.
c.
It would cost about the same to return the car on time without gas or one day late with gas.
d.
Tim is not responsible for refueling the car when he returns it.

Answers

Bbbbbbbbbbb????????????!??!


I need the answer and how you done it please

Answers

Answer:

x=11/17

Step-by-step explanation:

determine the defined range

11/x  17

11/x =17 then x is canceled out  

11=17x

17x=11 dividing both sides

x=11/17

which number is not a member of the solution set of the inequality 4x ≥ 18
A. 4.4
B. 4.5
C. 4.6
D. 4.7

Answers

Answer:

4.4

Step-by-step explanation:

4 (4.4) ≥ 18 does not make sense. 4 x 4.4 = 17.6, which is not more than or equal to 18.

Answer:

Step-by-step explanation:

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 30 books and each large box can hold 45 books. There were twice as many large boxes sent as small boxes, which altogether can hold 360 books. Graphically solve a system of equations in order to determine the number of small boxes sent, x, and the number of large boxes sent, y.

Answers

Answer:

altogether can hold 360 books. Graphically solve a system of equations in order to determine the number of small boxes sent, x, and the number of large boxes sent, y.

Step-by-step explanation:

Answer:

Let be x the number of small boxes sent and y the number of large boxes sent.

Since each small box can hold 30 books (30x), each large box can hold 45 books (45y)and altogether can hold a total of 360 books, we can write the following equation to represent this:

30x+45y=360

According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation:

y=8-2x/3

Brainliest plz

Magnesium has a charge of +2, and chlorine has a charge of –1. To form a chemical bond, how many magnesium ion(s) would the compound have?

A) 0
B) 1
C) 2
D) 3

Answers

In a chemical bond, the charges are balanced - neutral. This means that if we have a charge of +2 we will need a charge of -2 to cancel it out.

This means we need 1 magnesium ion and 2 chlorine ions.

Answer: B) 1

Hope this helps!

find ()
(x).
For f(x) = 4x +1 and g(x) = x2-5, find
BRAINLIST

Answers

Answer:

D.  (4x + 1) / (x² - 5), x ≠ ±√5

Step-by-step explanation:

Given:

f(x) = 4x + 1 and g(x) = x² - 5

Find {f/g)(x):

(f/g)(x) = f(x) / g(x) = (4x + 1) / (x² - 5)

Since denominator can't be zero:

x² - 5 ≠ 0 ⇒ x² ≠ 5 ⇒ x ≠ ±√5

Correct choice is D

I NEED HELP !!!! PLZ HELP ME UNDERSTAND THIS

Answers

Answer:

Step-by-step explanation:

symbol. Write your answer in your notebo and اله 1. 7 is added to the sum of 7 3 2. 2 - subtracted from 11 is equal to 8 1 4 4 3. The total of 8 - and 11 7 14 1/2 and D ​

Answers

Answer:

X=5/2

4(x+2)2=36

(4x+8)2=36

8x+16=36

8x=36-16

8x=20

X=20/8

X=5/2

Step-by-step explanation:

Hope this helps:)

NEED RATIONAL

G borrowed $15,000 to buy a business. The interest
rate was 11%. If G paid all the interest and the amount
borrowed with a single payment at the end of 16
months, what is the amount of this payment?

Answers

Ur mom is always welcome and you are a

how do you find the y intercept on a table

Answers

Answer:

y-intercept is 10. The y-intercept is where the line crosses with the y-axis line. The y-axis line is when x = 0.

what is the sum of 6/12 and 1/2
A.3/12
B.9/12
C.12/12
D.13/12
PLZZZZ HELP I WILL GIVE BRAINLIST

Answers

Answer:

1/2

Step-by-step explanation:6/12 is 1/2 of the fraction meaning that 6/12 is = to 1/2.

Answer:

12 / 12

Step-by-step explanation:

LCM of 12 and 2 = 12

1 / 2

= ( 1 / 2 ) x ( 6 / 6 )

= ( 1 x 6 ) / ( 2 x 6 )

= 6 / 12

6 / 12 + 1 / 2

= 6 / 12 + 6 / 12

= ( 6 + 6 ) / 12

= 12 / 12

HELLP ILL GIVE BRSINLY

Answers

m = 180 - CBE = 180 - [ 360 - BDC - BED - (180 - DCE - DEC)]  = 180 - [ 360 - 90 -90 - (180 - 13*2)] = 154

P/s: 180 - DCE - DEC = CDE

ok done. Thank to me :>

PLS ANSWER THE PICTUREEE

Answers

Answer:

1.12

2.11

3.19

Step-by-step explanation:

Sana nakatutulong

#Carry on learning

Pa brainliest po

write the standard form of the equation of the circle with the given characteristics end point of diameter (-4,-1) , (4,1)​

Answers

Answer:

x² + y² = 17

Step-by-step explanation:

The standard  equation of a circle is :

(x -h)² + ( y -k) ²= r², where (h, k) are the a coordinate of the center of the circle and r is the radius of the circle

If the end point of diameter has the coordinates (-4,-1) and  (4,1)​ then the center is at the origin so we have (h= 0, k= 0)

The radius is half of the diameter so is the distance form (0,0) to (4, 1).

We can use Pythagorean Theorem to find r²

r ² = 4²+1² =  17

(x -h)² + ( y -k) ²= r², substitute what we found out

(x -0)² + ( y -0) ²= 17

x² + y² = 17

This is the equation of the circle given characteristics end point of diameter (-4,-1) , (4,1)​

the price of broccoli is $1.25 per pound. let y be the total cost in dollars of buying x pounds of broccoli

which equation represents this situation

a, x=y+1.25
b. y= 1.25x
c. y= x+1.25
d. x= 1.25y

Answers

the answer would be B (y=1.25x

Explanation:
If you are trying to find out the total cost you would multiply the number of pounds you bought (x) by the cost per pound (1.25) in order to get ur answer
When you put it into the substitute equation
you’d get
y(total spent)= 1.25(cost per pound) x(number of pounds)


Hope this helped!
Answer is b I believe

Your team wins 24 medals . The medals are Gold, silver and
bronze in a ratio of 1:1:6. How many of each did your team win ?

Answers

Gold: 3 Silver: 3 Bronze: 18
Gold would be three medals, silver would be three medals and finally bronze medals are 18

An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent. O 25% increase 0 33% increase O 12% increase O 75% increase​

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today!

We can solve this problem in two steps, one is Comprehending and another is Solving. I'll start off with Comprehending.

Comprehending

We can start off by looking at the problem, it wants us to find the percentage increase from 36 to 48. We can then find difference between 48 and 36; that would be 12.

Now that we know the increase from 36 to 48 is 12. We need to find how much percent 12 is of 36.

Now that we know what we have to do, we can start solving.

Solving

We can solve the problem by setting up and equation, but we can also just use our logic in finding it out.

Since we know that we need to find how much 12 is of 36, we can just solve for that and we will get our answer.

We can do that with one step.

[tex]\frac{12}{36}=0.33[/tex]

Since it is a percent, we can multiply 0.33 by 100 and we get our answer of 33%

Find the area of a rectangle with sides measurements 8 inches and 17 inches

Answers

Answer:

136 inches or 354.44cm

Step-by-step explanation:

17*8 = 136

Answer:

136 inches

Step-by-step explanation:

17 X 8 = 136 inches

An arrow is shot vertically upward from a platform 45 feet high at a rate of
132 ft/sec. Use the quadratic function h(t)=−16t2+132t+45 to find how long it will take the arrow to reach its maximum height, and then find the maximum height. Round to the nearest tenth.

Answers

Answer:

486 feet will reached after 5.25 seconds, when rounded to nearest tenth would be 5.3

Step-by-step explanation:

What is the slope of the line on the graph?

Answers

Answer:

Step-by-step explanation: to find the slope rise over run

Acute triangle from one point to the other

Answer 4/11

Would anyone be able to help with this?

Answers

hii the answer would be 57°

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