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3 years ago

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Solve the equation:

" title="2 {x}^{2} + 7x - 3 = 0" alt="2 {x}^{2} + 7x - 3 = 0" align="absmiddle" class="latex-formula">

1 answer:

Genrish500 [490]3 years ago

3 0

Answer:

$delta = {7}^{2} - 4 \times 2 \times ( - 3) \\ = 49 + 24 = 73 \\ x 1= \frac{ - 7 + \sqrt{73} }{4} \\ x 2= \frac{ - 7 - \sqrt{73} }{4}$

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In a zoo there are zebras and peacocks sharing the same area. There is a total of 14 zebras and peacocks. If you count, there is

Arturiano [62]

If we take the number of Zebras to be x and that of peacocks to be y
Then x + y = 14
A zebra has 4 legs while a peacock has 2 legs,
Therefore the total number of legs will be 4x + 2y which is equal to 36 .
Therefore, we have two equations
x + y = 14
4x + 2y = 36 solving them simultaneously using elimination

4x +2y = 36
2x + 2y = 28 ( multiplying the first equation by 2 to eliminate y)
2x = 8 ( subtracting the equations)
x = 4
y = 14 -(4)
= 10
Therefore, there are 4 zebras and 10 peacocks in the zoo

3 0

4 years ago

The sum of three consecutive page numbers in a book is 156. What are the page

OLga [1]

Answer:

The answer is 51+52+53

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which sequence is arithmetic? A- 2,6,18,54... B- 3,6,12,24... C- 11,14,17,20... D- 7,11,13,18

mylen [45]

I think B. 3,6,12,24 is the answer

6 0

3 years ago

Read 2 more answers

Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's gra

diamong [38]

Let Jeremy's age be x
if Jeremy's grandfather is four times as old as he is,grandfather's age is 4x
if the sum of their ages is 90, we have
x%2B4x=90
5x=90
x=90%2F5
x=18->Jeremy's age
Jeremy's grandfather will be 4x=4%2A18=72
answer:
D. 72

8 0

3 years ago

Find the equation of the line that passes through (1,2) and is perpendicular to y=2x+3. Leave your answer in the form y=mx+c

zhenek [66]

Answer:

y = -1/2x + 5/2

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 2x + 3. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.

Plug this value (-1/2) into your standard point-slope equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -1/2(1) + b

To find b, multiply the slope and the input of x (1)

2 = -1/2 + b

Now, add 1/2 to both sides to isolate b.

5/2 = b

Plug this into your standard equation.

y = -1/2x + 5/2

This equation is perpendicular to your given equation (y = 2x + 3) and contains point (1, 2)

Hope this helps!

3 0

3 years ago