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strojnjashka [21]
3 years ago
13

The first step in determining the solution to the system of equations, y = -x2 - 4x - 3 and y = 2x + 5, algebraically is to set

the
two equations equal as X? - 4x - 3 = 2x + 5. What is the next step?
Set y = 0in y = -x? - 4x - 3.
Factor each side of the equation.
Use substitution to create a one-variable equation.
Combine like terms onto one side of the equation
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Answer:

Combine like terms onto one side of the equation

Step-by-step explanation:

You have

-x^2  -4x  - 3  = 2x + 5

It seems that we should combine like terms to make this equations smaller.

-x^2 - 4x - 3  - 2x  - 5 = 0

-x^2  -6x  - 8 = 0

- (x + 2)(x + 4) = 0

x = -2  or  x  = -4

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What’s the mean,median, and mode of 11,14,16,15,32,23,27,27,23,43 ?
alexdok [17]

Step-by-step explanation:

mean- add all number/by the total nos

=231/10=23.1

median - the middle value of data after arranging in ascending order

11,14,15,16,23,23,27,27,32,43

therefore the median is 23

mode - is the no that has occurred more

so mode will be 23 and 27

8 0
4 years ago
the figure above, not drawn to scale, consists of a triangle resting on a square of side 5cm. the height of the triangle is 4cm.
andrezito [222]

Answer:

5x4x2

Step-by-step explanation:

6 0
3 years ago
Yesterday, 5/7 of the Latin students took the Latin placement exam. Meanwhile, 64 out of 89 Greek students took the Greek placem
erica [24]

Answer:

Greek

Step-by-step explanation:

compare 5/7 and 64/89

5/7 = .71429

64/89= .71910

64/89 is the greater fraction

4 0
3 years ago
Read 2 more answers
Suppose the diameter of a circle is 6 units What is its circumference?
Kipish [7]

Answer:

18.84 estimated, 6π exactly

Step-by-step explanation:

Hi!

<u>The formula for finding the circumference of a circle is 2πr:</u>

In that case, all we need to do <em>first </em>is to divide the diameter by 2, so we can substitute that into the equation.

6 ÷ 2 = 3

So we have 2π × 3 to solve.

2π × 3 = 6π

We can estimate the circumference by multiplying by 3.14.

6 × 3.14 = 18.84

(actually multiplying by π gives 18.849... which is pretty close!)

Thus, the circumference is \boxed{6\pi{\text{\:or\:18.84\:roughly}}}.

Hope this helps!

6 0
3 years ago
Least common denominator?
Over [174]

Answer:

\large\boxed{(s-2)(s+2)(s-3)=(s^2-4)(s-3)=s^3-3s^2-4s+12}

Step-by-step explanation:

s^2-4=s^2-2^2=(s-2)(s+2)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)\\\\s^2-5s+6=s^2-2s-3s+6=s(s-2)-3(s-2)=(s-2)(s-3)\\\\\text{Therefore}\ LCD(s^2-4,\ s^2-5s+6)=(s-2)(s+2)(s-3)

4 0
3 years ago
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