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2 years ago

PLEASE HELP!!! 50 PTS

Mathematics

1 answer:

marshall27 [118]2 years ago

8 0

Answer:

200,176.32016703

correct me if im wrong

Step-by-step explanation:

sorry kung mali

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Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)

timofeeve [1]

Answer: $x-2y-2=0$

Step-by-step explanation:

Given :

$f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8$

Point of intersection :

$f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}$

$x=2\,;f(2)=2^2-4=0\\x=\frac{-3}{2}\,; f\left ( \frac{3}{2} \right )=\left ( \frac{3}{2} \right )^2-4=\frac{-7}{4}=-1.75$

So, we have points $\left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )$

Equation of line passing through two points $\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )$

Let $\left ( x_1,y_1 \right )=\left ( 2,0 \right )\,,\,\left ( x_2,y_2 \right )=\left ( -1.5,-1.75\ \right )$

So, equation is as follows :

$y-0=\frac{-1.75-0}{-1.5-2}\left ( x-2 \right )\\y=\frac{-1.75}{-3.5}\left ( x-2 \right )\\y=\frac{1}{2}(x-2)\\2y=x-2\\x-2y-2=0$

4 0

4 years ago

Solve the equation. What is the value of x?<br><br> x minus 6.8 = 356.3

koban [17]

Answer:

the answer is 363.1 i used a calculater to find the answer. so 356.3+ 6.8 = 363.1 so x=363.1

Step-by-step explanation:

3 0

3 years ago

It takes 60 minutes to make 2000 copies on an old copy machine. The newer copier works with the old copier to create 2000 sheets

Cerrena [4.2K]

The new copier can create 2000 copies in 20 minutes.

Step-by-step explanation:

Given,

It takes 60 minutes to make 2000 copies by old printer and 15 minutes to made x number of copies, therefore, using proportion

$60:2000::15:x$

Product of mean = Product of extreme

$2000*15=60*x\\30000=60x\\60x=30000$

Dividing both sides by 60

$\frac{60x}{60}=\frac{30000}{60}\\x=500$

As the new copier is working with old copier, therefore,

Copies made by new printer = 2000 - 500 = 1500

New copier can make 1500 copies in 15 minutes and 2000 copies in x minutes, using proportion

$1500:15::2000:x\\1500*x=15*2000\\1500x=30000$

Dividing both sides by 1500;

$\frac{1500x}{1500}=\frac{30000}{1500}\\x=20$

The new copier can create 2000 copies in 20 minutes.

Keywords: ratio, proportion

Learn more about proportions at:

#LearnwithBrainly

5 0

4 years ago

The difference between the number of items on two grocery lists is 7. The combined total number of items on the lists is 33.

vovikov84 [41]

Answer:

20 and 13

Step-by-step explanation:

If one list is 'a' and the other one is 'b' then

a-b = 7 and a+b = 33

a-b+a+b = 7+33

2a = 40

a = 20

Now, 20 - b = 7

-b = -13

b = 13

7 0

2 years ago

What is the value of the expression? −34+(110÷25)

AVprozaik [17]

First, since you are using the order of operations (PEMDAS), you would start in the parenthesis.
<span>-34 + (110 ÷ 25)
-34 + 4.4

Now, you just add the two numbers.
</span>-34 + 4.4 = -29.6

-34 + (110 ÷ 25) = -29.6

I hope this helps!

4 0

4 years ago

Read 2 more answers