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ikadub [295]
3 years ago
6

Solve the system of equations and choose the correct answer from the list of options.

Mathematics
2 answers:
bagirrra123 [75]3 years ago
6 0

Answer:

b

Step-by-step explanation:

substitute y in x

x+x-5=1

2x=6

x=3

y=3-5

y= -2

velikii [3]3 years ago
5 0
Answer:
b
(3, -2)

step-by-step explanation:
needs to be y = mx + b
x + y = 1
-x -x
y = -x + 1
y = x - 5 is already in form
using desmos
they intersect at (3, -2)

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Determine the zero of F(x)=x^2+3x-5
IgorLugansk [536]

Answer:

The answer to your question is:

Step-by-step explanation:

                                             x² + 3x - 5

                                    x² + 3x + (3/2)² = 5 + (3/2)²

                                         (x + 3/2)² = 5 + 9/4

                                         (x + 3/2)² = (20 + 9) /4

                                          (x + 3/2)² = 29/4

                                          x + 3/2 = ±√29 / 2

                                     

x 1 = -3/2 + √29/2                               x2 = -3/2 - √29/2

x1 = 1.19                                                x2 = -4.19

3 0
3 years ago
Rewrite the Cartesian equation y=-3 as a polar equation.
andreev551 [17]

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ

4 0
3 years ago
Multiplying Polynomials Investigation:Arnold has a 6ftx6ft piece of cardboard to make a open box by cutting equal size squares f
borishaifa [10]

i don't think so.....

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7 0
3 years ago
Pre-Calculus question:
zhuklara [117]
You already have figured the main idea. In this case, the population is growing 1.9% a year. This word can be translated into: multiplied by 101.9% (100+1.9%). That means the P0 is 6 bill, the base is 101.9%(or 1.019) and the time is 50 years. The calculation would be:
<span>P(t)=P₀a^t
</span>P(t)=6 billion * 101.9%^50= 6 billion * <span>2.56276= 15.38 billion</span><span>

</span>
5 0
3 years ago
Five pounds is 2.268 times as heavy as one kilogram. How many times as heavy is two pounds than one kilogram?
BlackZzzverrR [31]

Answer:

4.536

Step-by-step explanation:

2.268*2=4.536

8 0
3 years ago
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