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2 years ago

10

Using the given points, determine Δy. (-3, -5) and (0, 10)

1 answer:

Jet001 [13]2 years ago

3 0

Answer:

(-3,-5)

Step-by-step explanation:

because it as the information triangle y

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Solve the following using Substitution method<br> 2x – 5y = -13<br><br> 3x + 4y = 15

Digiron [165]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\left. \begin{array} { l } { 2 x - 5 y = - 13 } \\ { 3 x + 4 y = 15 } \end{array} \right.$

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$2x-5y=-13, \: 3x+4y=15$

Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

$2x-5y=-13$

Add 5y to both sides of the equation.

$2x=5y-13$

Divide both sides by 2.

$x=\frac{1}{2}\left(5y-13\right) \\$

Multiply $\frac{1}{2}\\$ times 5y - 13.

$x=\frac{5}{2}y-\frac{13}{2} \\$

Substitute $\frac{5y-13}{2}\\$ for x in the other equation, 3x + 4y = 15.

$3\left(\frac{5}{2}y-\frac{13}{2}\right)+4y=15 \\$

Multiply 3 times $\frac{5y-13}{2}\\$ .

$\frac{15}{2}y-\frac{39}{2}+4y=15 \\$

Add $\frac{15y}{2} \\$ to 4y.

$\frac{23}{2}y-\frac{39}{2}=15 \\$

Add $\frac{39}{2}\\$ to both sides of the equation.

$\frac{23}{2}y=\frac{69}{2} \\$

Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

$\large \underline{ \underline{ \sf \: y=3 }}$

Substitute 3 for y in $x=\frac{5}{2}y-\frac{13}{2}\\$ . Because the resulting equation contains only one variable, you can solve for x directly.

$x=\frac{5}{2}\times 3-\frac{13}{2} \\$

Multiply 5/2 times 3.

$x=\frac{15-13}{2} \\$

Add $-\frac{13}{2}\\$ to $\frac{15}{2}\\$ by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

$\large\underline{ \underline{ \sf \: x=1 }}$

The system is now solved. The value of x & y will be 1 & 3 respectively.

$\huge\boxed{ \boxed{\bf \: x=1, \: y=3 }}$

8 0

2 years ago

Can someone please help me?<br> If g(x) = x2 - 5x + 2, find g(0).

Debora [2.8K]

g(x) = x² - 5x + 2

You are looking for g(0). This means that you must replace all the x values in the equation above with 0

(0)² - 5(0) + 2

Now you need to solve according to the rules of PEMDAS:

(0)² - 5(0) + 2

0 - 5(0) + 2

0 - 0 + 2

0 + 2

2

g(0) = 2

Hope this helped!

~ Just a girl in love with Shawn Mendes

5 0

3 years ago

Which set of data does not have a mode?

Y_Kistochka [10]

Answer:

FIRST ONE

Step-by-step explanation:

NO NUMBER REPEATS ITSELF

4 0

3 years ago

Read 2 more answers

Find the perimeter of the triangle

OleMash [197]

Answer:

73.7

Step-by-step explanation:

14 +14 +23+22.7=73.7

8 0

3 years ago

A dog breeder plans to mix two types of food to make a mix of low cost

lys-0071 [83]

Answer:

3.75 bags of ChowChow
0.75 bags of Kibble

Step-by-step explanation:

The constraints on protein, minerals, and vitamins give rise to the inequalities ...

40c +30k ≥ 150 . . . . . . required protein

20c +20k ≥ 90 . . . . . . required minerals

10c +30k ≥ 60 . . . . . . . required vitamins

And we want to minimize 10c +12k.

The graph shows the vertices of the feasible region in (c, k) coordinates. The one that minimizes cost is (c, k) = (3.75, 0.75).

To minimize cost, the daily feed should be ...

3.75 bags of ChowChow
0.75 bags of Kibble

Daily cost will be $46.50.

5 0

3 years ago