All categories

2 years ago

What are the solutions to the system of equations? y=−x^2−5x−6 x+y=−3

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

5 0

Answer:

The solutions are the points (-3,0) and (-1,-2)

Step-by-step explanation:

we have

$y=-x^{2} -5x-6$ -----> equation A

$x+y=-3$ -----> equation B

Solve the system of equations by graphing

The solution of the system of equations are the intersection points both graphs

The solutions are the points (-3,0) and (-1,-2)

see the attached figure

You might be interested in

M+1 3/8=5 What does m equal?

Arte-miy333 [17]

$\text{ The value of m is equal to 3.625 or }\frac{29}{8} \text{ or } 3\frac{5}{8}$

Solution:

Given that we have to find the value of "m"

Given expression is:

$m + 1\frac{3}{8} = 5$

Let us first convert the mixed fraction to improper fraction

Steps to follow:

Divide the numerator by the denominator.

Write down the whole number answer.

Then write down any remainder above the denominator.

Therefore,

$1\frac{3}{8}=\frac{8 \times 1+3}{8} = \frac{8+3}{8} = \frac{11}{8}$

Now the expression becomes,

$m + \frac{11}{8} = 5$

Keep the variable "m" on L.H.S and move the constant to R.H.S

$m = 5 - \frac{11}{8}\\\\m = \frac{5 \times 8 -11}{8}\\\\m = \frac{40-11}{8}\\\\m = \frac{29}{8}\\\\\text{In mixed fractions, we can write as }\\\\m = \frac{29}{8} = 3\frac{5}{8}$

Thus value of m is equal to 3.625 or $\frac{29}{8} \text{ or } 3\frac{5}{8}$

3 0

2 years ago

Enter the inequality given by the graph below.

Rudiy27

The slope of the line is: m=(5-0)/(-3-2)=-1
y=-x+b
find out b by using a point: 0=-2+b, b=2
so the equation of the line is y=-x+2
it is dotted, so they should be an equal sign.
the shaded part is to the right, above the line, so it is a >
the inequality is y>-x+2

4 0

3 years ago

6 × 4 grid is divided into unit squares, Find the number of squares, of any size, in the grid.

yawa3891 [41]

Answer:

Step-by-step explanation:

5 0

3 years ago

All of the following expressions have the same value, except . . .

miss Akunina [59]

Answer: -3/7- 4/7

Step-by-step explanation:

7 0

2 years ago

the graph of a line has a slope of -2/3 and a y intercept of (0,2). rewrite the equation in standard for (Ax+By=C) with a positi

sergiy2304 [10]

Answer:

2x + 3y = 6

Step-by-step explanation:

obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

here m = - $\frac{2}{3}$ and c = 2

y = - $\frac{2}{3}$ x + 2 ← in slope-intercept form

multiply all terms by 3 to eliminate the fraction

3y = - 2x + 6 ( add 2x to both sides )

2x + 3y = 6 ← in standard form

8 0

2 years ago