All categories

3 years ago

What is the value of this quadratic function. 4x^2+88x

Mathematics

1 answer:

nydimaria [60]3 years ago

5 0

Answer:

x = 0 or x = -22

Step-by-step explanation by completing the square:

Solve for x:

4 x^2 + 88 x = 0

Divide both sides by 4:

x^2 + 22 x = 0

Add 121 to both sides:

x^2 + 22 x + 121 = 121

Write the left hand side as a square:

(x + 11)^2 = 121

Take the square root of both sides:

x + 11 = 11 or x + 11 = -11

Subtract 11 from both sides:

x = 0 or x + 11 = -11

Subtract 11 from both sides:

Answer: x = 0 or x = -22

You might be interested in

On a cruise, 80% of the passengers are staying in "economy" rooms. If there are 320 passengers in "economy rooms, how many total

stealth61 [152]

I think that the answer is 550 people on the cruise. i used my math notes

5 0

3 years ago

During the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours.The second one was

butalik [34]

Answer:

2nd debate was 3 hours long.

Step-by-step explanation:

We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.

Let us find the estimate of time spent on 2nd debate.

1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

$2*2=4$

Therefore, the estimated time is less 4 hours.

To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.

First of all, we will convert mixed fractions into improper fractions as:

$1\frac{2}{3}=\frac{5}{3}$

$1\frac{4}{5}=\frac{9}{5}$

Now, we will multiply both fractions as:

$\frac{5}{3}\times \frac{9}{5}$

$\frac{1}{3}\times \frac{9}{1}$

$\frac{9}{3}\Rightarrow 3$

Therefore, the 2nd debate was 3 hours long.

5 0

3 years ago

The system of equations

cupoosta [38]

Answer:

z = -12

Step-by-step explanation:

The given system of equations is:

xy/(x + y) = 1 ...........................(1)

xz/(x + z) = 2...........................(2)

yz/(y + z) = 3...........................(3)

From (1): x + y = xy

=> y = xy - x

y = x(y - 1)

x = y/(y - 1).......................................(4)

From (2): 2(x + z) = xz

=> 2x + 2z = xz

2x = xz - 2z

2x = z(x - 2)

z = 2x/(x - 2) ....................................(5)

From (3): 3(y + z) = yz

=> 3y + 3z = yz

3y = yz - 3z

3y = z(y - 3)

z = 3y/(y - 3)....................................(6)

Comparing (5) and (6)

2x/(x - 2) = 3y/(y - 3)

2x(y - 3) = 3y(x - 2)

2xy - 6x = 3xy - 6y

6(y - x) = xy .................................(7)

But from (1): xy = x + y

Using this in (7), we have

6(y - x) = x + y

6y - y - 6x - x = 0

5y - 7x = 0

5y = 7x

x = 5y/7................................................(8)

Using this in (4)

5y/7 = y/(y - 1)

1/(y - 1) = 5/7

(y - 1) = 7/5

y = 1 + 7/5

y = 12/5..........................................(9)

Using this in (8)

x = 5(12/5)/7 = 12/7 .......................(10)

Using (10) in (5)

z = 2x/(x - 2)

z = 2(12/7) ÷ (12/7 - 2)

= 24/7 ÷ -2/7

= 24/7 × (-7/2)

= -24/2 = -12

z = -12.

4 0

4 years ago

camilla paid $1.15 per pound for x pounds of tomatoes. She paid for her tomatoes with $10 and received $4.48 in change. How many

Alika [10]

Answer:

$x=4.8\ pounds$

Step-by-step explanation:

Let

x-----> the number of pounds of tomatoes Camilla bought

we know that

The equation that represent this situation is equal to

$1.15x=10-4.48$

Solve for x

$1.15x=5.52$

$x=5.52/1.15$

$x=4.8\ pounds$

5 0

3 years ago

3 is subtracted from a number.<br> What is the algebraic expression?

Stels [109]

Answer:

Naruto and luffy and Goku will kill you.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers