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maks197457 [2]
3 years ago
7

Solve the system of equations using subtraction. 2x-4y= -12 2x+y=8 plz help

Mathematics
1 answer:
m_a_m_a [10]3 years ago
3 0

Answer:

x=2, y= 4

Step-by-step explanation:

Equation 1 is 2x-4y = -12

Equation 2 is 2x+y = 8

Subtracting the two equations gives -4y-y = -12-8 (The 2x and the other 2x cancel each other out).

Simplifying we get -5y = -20 and y =4

Substituting y =4 into original equation back we get 2x -4(4) =-12

This equals 2x -16 =-12 and 2x = 4 and x =2

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According to the Food and Drug Administration, the recommended daily intake of iron is 16 mg. This is 4 less than twice the reco
IgorC [24]

Answer:

20 mg

Step-by-step explanation:

x - 4 = 16

x = 20

7 0
3 years ago
Read 2 more answers
What is the answer please.... need help
mina [271]

Answer:

f\left(x\right)=x^3-6x^2+3x+10 is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Step-by-step explanation:

Given the function

f\left(x\right)=x^3-6x^2+3x+10

As the highest power of the x-variable is 3 with the leading coefficients of 1.

  • So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.

solving to get the zeros

f\left(x\right)=x^3-6x^2+3x+10

0=x^3-6x^2+3x+10              ∵  f(x)=0

as

Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0

so

\left(x+1\right)\left(x-2\right)\left(x-5\right)=0    

Using the zero factor principle

if  ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x=-1,\:x=2,\:x=5

Therefore, the zeros of the function are:

x=-1,\:x=2,\:x=5

f\left(x\right)=x^3-6x^2+3x+10 is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Therefore, the last option is true.    

8 0
3 years ago
Ivan purchased stock in a company at an initial price of $8 per share. The share value reached $18 after 10 days and then began
Butoxors [25]

The quadratic equation that best represents his model of the relationship between stock value and time is given by:

y = -0.0976(x - 10)^2 + 18, x \geq 0

The graph is given at the end of the answer.

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

In this problem, the maximum value was a share value of $18 after 10 days, hence the vertex is:

(h,k) = (10,18).

Thus:

y = a(x - 10)^2 + 18

Since the initial price was of $8 per share, we have that:

8 = a(0 - 10)^2 + 18

-82a = 8

a = -\frac{8}{82}

a = -0.0976

Hence the equation is:

y = -0.0976(x - 10)^2 + 18, x \geq 0

At the end of the answer, the sketch of the graph is given.

More can be learned about quadratic equations at brainly.com/question/24737967

6 0
3 years ago
Can u please help me​
nadya68 [22]

Answer:

P=p1+p2+p3+p4

P1=4*a=4*8=24

P2=a+b+c=6+10+8=24

P3=2*a+2*b=2*10+2*20=60=P4

P=24+24+60+60=160cm

8 0
3 years ago
Which of the following pairs is not correctly written in scientific notation
kow [346]
B in the answer <span>not correctly written in scientific notation</span>
4 0
3 years ago
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