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2 years ago

What are the coordinates of the vertices of the solution region for the system ?

Mathematics

1 answer:

fredd [130]2 years ago

7 0

A graph shows them to be (3, 4), (3, 7), (6, 4).

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Write 1/3 as a power with an integer base

Viefleur [7K]

Answer:

$3^{-1}$

Step-by-step explanation:

Using the rule of exponents

$\frac{1}{a^{n} }$ ⇔ $a^{-n}$

Given

$\frac{1}{3}$ = $\frac{1}{3^{1} }$ = $3^{-1}$

7 0

2 years ago

Read 2 more answers

A study reported that students who play sports get better grades in school than students who do not play sports. Determine which

Stolb23 [73]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Among the choices provided the incorrect statement is "<span>Playing sports will cause students to get better grades in school."</span>

4 0

2 years ago

M-2<-8 or m/8>1<br>I don't know how to solve this

Shkiper50 [21]

I hope this helps you

5 0

2 years ago

Identify the x-intercepts of the function below f(x)=x^2+12x+24

damaskus [11]

<u>ANSWER: </u>

x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

<u>SOLUTION:</u>

Given, $f(x)=x^{2}+12 x+24$ -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

$X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here, for (1) a = 1, b= 12 and c = 24

$X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}$

$\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}$

Hence the x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

8 0

2 years ago

Complete the table of values for the equation, 16x + 4y = 12.

Ann [662]

The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).

<h3>Linear Function</h3>

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope;
b=the constant term that represents the y-intercept.

The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x for finding the values of y.

Thus,

For x= -2, the value of y will be:

16*(-2)+4y=12

-32+4y=12

4y=12+32

4y=44

y=11

For x= -1, the value of y will be:

16*(-1)+4y=12

-16+4y=12
4y=12+16
4y=28
y=7

For x= 0, the value of y will be:

16*(0)+4y=12

0+4y=12
4y=12
4y=12
y=3

For x= 1, the value of y will be:

16*(1)+4y=12

16+4y=12
4y=12-16
4y=-4
y= -1

For x= 2, the value of y will be:

16*(2)+4y=12

32+4y=12
4y=12-32
4y=-20
y= -5

Read more about the linear equation here:

brainly.com/question/1884491

#SPJ1

7 0

1 year ago