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gladu [14]
3 years ago
5

How many solutions are possible for a system of equations containing exactly one linear and one quadratic equation?

Mathematics
1 answer:
olganol [36]3 years ago
4 0
There can be as many as 2 solutions.
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THIS IS THE T H I R D TIME IVE POSTED THIS P L E A S E ANSWER
Goshia [24]

Find common denominators. 10 is the common denominator. Multiply 2 to numerator and denominator of -3/5

(-3/5)(2/2) = -6/10

x + 1/10 = -6/10

Isolate the x. Subtract 1/10 from both sides

x + 1/10 (-1/10) = -6/10 (-1/10)

x = -6/10 - 1/10

x = -7/10

-7/10 is your answer for x

hope this helps

4 0
2 years ago
Two friends are collecting stuffed animals. Veronica has 5 more than double the number of stutted
STatiana [176]

v + m = 32 and v = 5 + 2m are the equations that are used  to determine m, the number of stuffed animals Mariposa has

Number of stuffed animals Mariposa has is 9 and number of stuffed animals with Veronica is 23

<h3><u>Solution:</u></h3>

Let "v" be the number of stuffed animals with Veronica

Let "m" be the number of stuffed animals with Mariposa

Given that,

Together, they have 32 stuffed animals

Therefore,

v + m = 32  --------- eqn 1

Veronica has 5 more than double the number of stutted  animals as her friend Mariposa

Therefore,

Number of stuffed animals with Veronica = 5 + 2(number of stuffed animals with Mariposa)

v = 5 + 2m ---------- eqn 2

Thus eqn 1 and eqn 2 can be used to determine m, the number of stuffed animals Mariposa has

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

5 + 2m + m = 32

5 + 3m = 32

3m = 32 - 5

3m = 27

<h3>m = 9</h3>

Substitute m = 9 in eqn 2

v = 5 + 2(9)

v = 5 + 18

<h3>v = 23</h3>

Thus number of stuffed animals Mariposa has is 9 and number of stuffed animals with Veronica is 23

5 0
3 years ago
You receive a pay raise of 5%, then a cut of 5%. If your original salary is $45,000, what is your new salary after the raise and
Natali [406]
The salary after the raise is 47250 and the salary after the  cut would just be the original salary 

5 0
3 years ago
Can someone please help?? what’s the measure of the vertex angle
maw [93]

Answer:

120 deg

Step-by-step explanation:

There is an angle symbol in the equilateral triangle and another symbol in half of the vertex angle. Those two angles are congruent.

The measure of the vertex angle is 2 * 60 deg = 120 deg

Answer: 120 deg

7 0
2 years ago
Solve the quadratic equation by factoring: 15x^2+4x-4=0
joja [24]
We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).

15*-4 = -60

Now we need to split the b term into two pieces that multiply to -60 and add to 4.

-6 and 10 will work.

Now group one part of b with the 15x^2 and the other part with -4.

(15x^2 + 10x) + (-6x - 4)

Now factor both terms.

5x(3x+2) - 2(3x+2)

3x+2 is one of our factors and 5x-2 is the other.

(3x+2)(5x-2)=0

Now just find the zeros.

3x+2 = 0
3x = -2
x = -2/3

And

5x-2 = 0
5x = 2
x = 2/5

So the answer is x = -2/3 and x = 2/5






7 0
3 years ago
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