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iVinArrow [24]
2 years ago
9

Which of the following is the solution to the system of equations? y=2−xy=3x−1

Mathematics
1 answer:
creativ13 [48]2 years ago
6 0

An equation is formed of two equal expressions. The solution of the system of equations is (0.75, 1.25).

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution to the system of equation is,

y = 2 - x

y = 3x - 1

Substitute the value of y,

y = y

2 - x = 3x - 1

2 + 1 = 3x + x

3 = 4x

x = 3/4 = 0.75

Substitute the value of x in any one of the equation,

y = 2 - x

y = 2 - 0.75

y = 1.25

Hence, the solution of the system of equations is (0.75, 1.25).

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

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3.(08.07 HC)
SashulF [63]

Answer:

For a general equation:

y = f(x) =  a*x^2 + b*x + c

The x-intercepts are given by:

x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}

And the vertex is the point (h, k) such that:

h = -b/2*a

k = f(h)

Part A)

We have the function f(x) = -16*x^2 + 22*x + 3

The x-intercepts are then:

x = \frac{-(22) \pm \sqrt{22^2 - 4*(-16)*3} }{2*(-16)} = \frac{-22 \pm 26 }{-32}

The two intercepts are:

x = (-22 - 26)/(-32) = 1.5

x = (-22 + 26)/(-32) = -0.125

Part B:

The vertex is (h, k), such that:

h = -22/(2*(-16)) = -22/-32 = 0.6875

k = f(0.6875) = -16*(0.6875)^2 + 22*0.6875 + 3 = 10.6525

Then the vertex is: ( 0.6875, 10.6525)

If the leading coefficient is positive, then the vertex is a minimum

If the leading coefficient is negative, then the vertex is a maximum.

In this case the leading coefficient is -16, then we can conclude that the vertex is a maximum.

Part C:

To graph the function, we can graph the points that we already know (the vertex and the two x-intercepts) and connect them with a curve.

You could also add another few points so you have a guide to draw the curve, for example the point:

y = f(0) = -16*0^2 + 22*0 + 3

    f(0) = 3

(0, 3)

6 0
3 years ago
PLSSS HELP DUE SOONNNN ILL GIVE BRAINLIEST IF ALL QUESTIONS R ANSWERED
Alexeev081 [22]

Answer:

9. y=9h+4

10. y=5r+10

11. y=4x+8

12. y=4n+9

Step-by-step explanation:

9. He gets 9 dollars per hour (h), and 4 dollars extra for gas.

So 9 dollars per hour plus 4 dollars for the gas

y=9h+4

10. Roses (r) are selling for 5 dollars each and there is a delivery fee of 10 dollars.

So 5 dollars per rose plus 10 dollar fee

y=5r+10

11. The tree increases by 4 feet per year (x), and it is already 8 feet tall.

So 4 feet per year plus 8 feet

y=4x+8

12. Each trophy (n) weighs 4 kilograms, and the box itself weighs 9 kilograms.

So 4 kilograms per trophy plus 9 kilograms for the box.

y=4n+9

3 0
2 years ago
Explain why the absolute value equation |3x|+8=5 has no solution.Required to answer. Single line text.
Anettt [7]



Absolute value means the real answer for example |-5| answer is 5
|-6| answer is 6 like that
Your question answer is then 5
Thank you
Hope you understood
4 0
3 years ago
State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations.
Kaylis [27]

Answer:

x=9

if

a^b = a^c

then b=c

so in this case x=9

4 0
1 year ago
Please help asap!!!
Tatiana [17]

Answer:

w = 6

Step-by-step explanation:

ST = w + 6,

PR = w

From the diagram given, we can deduce that PR is the midsegment of ∆QST. Therefore, according to the midsegment theorem:

PR = ½ of ST

Plug in the values into the equation and solve for w.

w = \frac{1}{2}(w + 6)

w = \frac{w}{2} + 3 (distributive property of equality)

w - 3 = \frac{w}{2} (subtraction property of equality)

2(w - 3) = \frac{w}{2}*2 (multiplication property of equality)

2w - 6 = w

2w - 6 - 2w= w - 2w (subtraction property of equality)

- 6 = - w

Divide both sides by -1

6 = w

w = 6

5 0
3 years ago
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