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2 years ago

Can someone please help me solve these 4

Mathematics

1 answer:

choli [55]2 years ago

5 0

Answer:

find the area and then multiply

Step-by-step explanation:

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the present age of father and son is 7:2. after 5 yrs the age of son is 37% the age of his father. what is the present age of fa

zvonat [6]

Let present ages of father be x and of son is y years

x/y = 7/2, 2x=7y, y=2x/7
(y+5)=37/100*(x+5)
(2x/7+5)=37/100*(x+5)
(2x+35)/7=(37x+185)/100
200x+3500=259x+1295
259x-250x=3500-1295
59x=2205
x=37.37 years

8 0

4 years ago

Determine the zeros of the function 5) y=-x² + 2x + 1

Rus_ich [418]

<h3>Zeros of function are $x = 1 + \sqrt{2} \text{ and } x = 1 - \sqrt{2}$ </h3>

Solution:

We have to find the zeros of the function

$y = -x^2 + 2x+1$

Find the zeros of function:

$-x^2 + 2x+1 = 0\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=-1,\:b=2,\:c=1\\\\x =\frac{-2\pm \sqrt{2^2-4\left(-1\right)1}}{2\left(-1\right)}$

$Simplify\\\\x=\frac{-2 \pm \sqrt{4+4}}{-2}\\\\x =\frac{-2 \pm \sqrt{8}}{-2}\\\\Simplify\\\\x =\frac{-2 \pm 2 \sqrt{2}}{-2}\\\\x = 1 \pm \sqrt{2}$

We have two zeros

$x = 1 + \sqrt{2} \text{ and } x = 1 - \sqrt{2}$

Thus zeros of function are $x = 1 + \sqrt{2} \text{ and } x = 1 - \sqrt{2}$

3 0

3 years ago

Read 2 more answers

The following week the company was hired for a 225 mile move. If each truck traveled at hte same speed it has the previous week

iogann1982 [59]

I added a screenshot of the original question.

Now, first we will need to calculate the speed of each truck and then get the time that each of them will take to travel the 225 miles.
The basic rule that we will use for this question is:
velocity = distance / time

Part (a): getting the velocity of each truck:
For the large truck:
We are given that the truck took 4 hours to travel 180 miles. Therefore:
velocity of large truck = 180 / 4 = 45 miles/hour

For the small truck:
We are given that the truck took 3 hours to travel the same 180 miles. Therefore:
velocity of small truck = 180 / 3 = 60 miles/hour

Part (b): getting the time required for each truck to travel 225 miles:
For the large truck:
We have the distance = 225 miles and the velocity = 45 miles/hour. Therefore:
velocity = distance / time
time = distance / velocity = 225 / 45 = 5 hours

For the small truck:
We have the distance = 225 miles and the velocity = 60 miles/hour. Therefore:
velocity = distance / time
time = distance / velocity = 225 / 60 = 3.75 hours

8 0

3 years ago

Tengo 50 pollos Metidos en un cajón. Cuantos picos y patas tengo??

Marrrta [24]

50 picos y 100 patas .

4 0

4 years ago

PLEAS3E CHECK MY ANSWER

IRINA_888 [86]

I'd say the correct answer is D bc it's talking about the SAS theorem, excuse me if I'm wrong tho.

4 0

4 years ago