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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

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There are 3 packs of crayons available for every 5 students in the art class. How many students can share 15 packs of crayons?

3241004551 [841]

<span>There are 3 packs of crayons available for every 5 students in the art class. How many students can share 15 packs of crayons? Answer:</span>25

Hope this helps!

6 0

3 years ago

Read 2 more answers

Write the equation y=-3x+3 in function notation using f(x) to denote the function.

Mumz [18]

The function notation form of the given equation; y = -3x +3 as in the task content is; f(x) = -3(x) +3.

<h3>What is the function notation form of the equation?</h3>

According to the task content, the equation given; y = -3x +3 is to be written in function notation.

Consequently, since the function expression given is linear in variable X, it follows that the required function notation is;

f(x) = -3x +3.

Read more on function notation;

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5 0

2 years ago

Help please!!!

vaieri [72.5K]

We know that In right angle triangle c^2 = a^2 + b^2.
19^2 = 3^2 + b^2
b = (361 - 9)^1/2 = 18.761663039294
Now for angles
sin(A) = a/c = 3/19
A = sin{-1}(3/19) = 9.0847202873911
A = 9.0847202873911
sin(B) = b/c = 18.761663039294 / 19
B = sin{-1}(18.761663039294 / 19) = 80.915279712614
B = 80.915279712614

8 0

3 years ago

Hii can someone explain to me how to do this? tyvm

Snezhnost [94]

Step-by-step explanation:

it's late but I hope it helps :)

imagine that the > symbol is just an equal sign

so for example

x+2>4

will look like

x+2=4

and you solve normally

×=2

now we bring the symbol back

x>2

but if you multiple or divide by a negative the sign flips

so say you have

-2x>4

make it into

-2x=4

solve

x=-2

but instead of >

you put

x < -2

5 0

3 years ago

In , there were immigrants admitted to a country. In 1960, the number was . a. Assuming that the change in immigration is lin

Arisa [49]

Answer:

The answer is below

Step-by-step explanation:

The complete question is:

In 1960, there were 237,794 immigrants admitted to a country. In 2001, the number was 1,150,729.

a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900.

b. Use your result in part a to predict the number of immigrants admitted to the country in 2013.

c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.

Answer:

a) From the question, we can get two ordered pairs which are $(t_1,y_1)=(60,237794)\ and\ (t_2,y_2)=(101,1150729)$

Using the equation of a line given two points:

$y-y_1=\frac{y_2-y_1}{t_2-t_1}(t-t_1)\\ \\y-237794=\frac{1150729-237794}{101-60}( t-60)\\\\y-237797=22266.71(t-60)\\\\y=22266.71t-1098205.44$

b) In 2013, t = 2013 - 1900 = 113.

Hence:

$y=22266.71t-1098205.44\\\\y=22266.71(113)-1098205.44\\\\y=1417932.488\\\\y=1417933$

$y=22266.71t-1098205.44\\\\the\ y\ intercept\ is\ at\ t=0,hence:\\\\y=22266.71(0)-1098205.44\\\\y=-1098205.44$

Since the y intercept is negative, that is in 1900 the number of immigrants was -1098206 which can not be possible. Hence this equation is not valid and the growth may or may not be linear.

7 0

4 years ago