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3 years ago

Part A: What is the y-intercept of the function, and what does this tell you about the car?

Mathematics

1 answer:

jeyben [28]3 years ago

7 0

There's an x and y intercept the y is how tall the car is

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3) x2+ y2 - x + 3y - 42 = 0<br> X+y=4

REY [17]

The solution is $(-1,5)$ and $(7,-3)$

Step-by-step explanation:

The expression is $x^{2} +y^{2} -x+3y-42=0$ and $x+y=4$

Using substitution method we can solve the expression.

Let us substitute $x=4-y$ in $x^{2} +y^{2} -x+3y-42=0$

$(4-y)^{2} +y^{2} -(4-y)+3y-42=0$

Expanding and simplifying the expression, we get,

$\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}$

Let us use the quadratic equation formula to solve this equation,

$\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}$

Thus, $y=5$ and $y=-3$

Substituting y-values in the equation $x+y=4$ , we get the value of x.

For $y=5$ ⇒ $x=4-5=-1$

For $y=-3$ ⇒ $x=4+3=7$

Thus, the solution set is $(-1,5)$ and $(7,-3)$

7 0

3 years ago

Elle can buy 2 quarts of milk for 3$ or 1 gallon milk for 3$ which is the better deal

prisoha [69]

1 gallon for $3 is the better deal because you're getting twice as much for the same price

5 0

3 years ago

Read 2 more answers

Solve the inequality -5(x-7)<15 algebraically for x.

Serggg [28]

X > 4
Hope this helps

6 0

3 years ago

Read 2 more answers

What is the solution to the equation 4x-6=10x-3

egoroff_w [7]

Answer:

x = -1/2

Step-by-step explanation:

4x - 6 = 10x - 3

+6 +6

4x = 10x + 3

-10x -10x

-6x = 3

/-6 /-6

x = -1/2

8 0

3 years ago

Find 2 numbers a and b whose sum is 4 and whose difference is -2

umka21 [38]

Answer:

a = 1, b = 3.

Step-by-step explanation:

a + b = 4

a - b = -2 Adding to eliminate b:

2a = 2

a = 1

So 1 + b = 4

giving b = 3.

7 0

3 years ago