How many solutions does this nonlinear system of equaTions have?

Answer:

g(x) has a minimum

Step-by-step explanation:

Given a quadratic in standard form

g(x) = ax² + bx + c ( a ≠ 0 )

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Given

g(x) = x² - 5x + 2 ← in standard form

with a > 0 , thus

g(x) has a minimum

Answer:

so its will be the equal number

Step-by-step explanation:

pls dont get mad if I'm wrong I tried :)

Answer:

452.4

Step-by-step explanation:

area is given by πradius squared which gives answer as 452.389

Answer:

452.39 because you have to take the radius squared times pie or 3.14 to get the area so your answer would be 452.39

Step-by-step explanation:

Hope it helps

Answer:

$88

Step-by-step explanation:

48/12= 4

for another 10 she pays another $40

Answer:

$88

Step-by-step explanation:

Answer:

x = 36

y = 37.95

Step-by-step explanation:

By geometric mean property:

[tex] {12}^{2} = 4 \times x \\ \\ 144 = 4 \times x \\ \\ x = \frac{144}{4} \\ \\ x = 36 \\ \\ [/tex]

By Pythagoras Theorem:

[tex] {y}^{2} = {12}^{2} + {x}^{2} \\ \\ {y}^{2} = {12}^{2} + {36}^{2} \\ \\ {y}^{2} = 144 + 1296 \\ \\ {y}^{2} = 1440 \\ \\ y = \sqrt{1440} \\ \\ y = 37.95[/tex]

3 ft

Step-by-step explanation:

Answer:

The answer is 496125.

Step-by-step explanation:

Simply multiply the two numbers together to get 567*875 = 496125.

Hope this helped!

Answer:496,125

Step-by-step explanation:

Answer:

(-2, 5)

Step-by-step explanation:

we subtract 6x+3y=3 by 2x+3y=11 to get 4x=-8.

we divide both sides by 4 to get x. x=-2

We subsitute -2 for the second equation to get:

2(-2)+3y=11

=-4+3y=11

=3y=15

y=5

Greetings again.

The answer is (-2,5)

Explanation:

What we need to do is to eliminate either x-term or y-term. Eliminating the terms that you don't have to multiply to get the same terms for both equations is better.

For this one, there're no terms that make 0.

And what do we do if there are no terms that can be eliminated?

The answer is, multiply one of the equation by -1. To make another equation have opposite negative and positive side. -3y + 3y = 0.

I'll multiply -1 in the second equation.

[tex]2x+3y=11[/tex]

Multiply the whole equation by -1.

[tex]2x(-1)+3y(-1)=11(-1)\\-2x-3y=-11[/tex]

Remind that negative multiply positive equal negative.

Now then we replace the old equation with -2x - 3y = -11

[tex]\left \{ {{6x+3y=3} \atop {-2x-3y=-11}} \right.[/tex]

Then add/subtract vertically.

6x-2x = 4x

3y - 3y = 0

3 - 11 = -8

Therefore, we get 4x = -8

[tex]4x=-8\\x=-2[/tex]

Because this is the system of two linear equations. We need to find the y-term/value too.

Substitute x = -2 in any given equations. choose any equations you'd like to substitute in. For me, I'll substitute in the equation with less coefficient value and that is the second equation.

[tex]2x+3y=11[/tex]

Substitute x = -2 in the equation.

[tex]2(-2)+3y=11\\-4+3y=11\\3y=11+4\\3y=15\\y=5[/tex]

Thus, when x = -2, y = 5. Since you want the answer as an ordered pairs. The answer is (-2,5)

Step-by-step explanation:

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

An axis of symmetry of quadratic equation y = ax² + bx + c is :

Let us now tackle the problem!

Given:

f(x) = 3x² - 6x - 13

Asked:

Domain = ?

Solution:

Velocity is a vector quantity.

Vector quantity has magnitude and direction.

Directon of vector is represented by the sign of the quantity

If x is the velocity of the boat relative to land , then:

The value of x could be positive , negative or zero.

Answer:

Anthony is rowing a boat upstream. The following equation models his speed: f(x) = 3x2 − 6x − 13, where x is the velocity of the boat relative to land. What is the domain of the function?

All real numbers

x ≥ 1

x ≤ −6

x ≥ −13

Step-by-step explanation:

it is a

Answer:

14 groups

Step-by-step explanation:

Given

[tex]Groupings = \frac{1}{2}\ day[/tex]

[tex]Duration = 1\ week[/tex]

Required

Determine the number of group in the week

To do this, we simply divide the duration by the number half day group.

This gives:

[tex]Group = \frac{Duration}{Groupings}[/tex]

[tex]Group = \frac{1\ week}{1/2\ days}[/tex]

Convert week to days

[tex]Group = \frac{7\ days}{1/2\ days}[/tex]

[tex]Group = \frac{7}{1/2}[/tex]

[tex]Group = 7 / \frac{1}{2}[/tex]

Convert to multiplication

[tex]Group = 7 * \frac{2}{1}[/tex]

[tex]Group = \frac{14}{1}[/tex]

[tex]Group = 14[/tex]

Hence, there are 14 groups

Answer:

Step-by-step explanation:

All of them are examples of Hypotenuse Leg Theorem

Answer:

hello your question is incomplete attached below is the missing diagram

answer :

RS is perpendicular to line  MN and line PQ  

The slope of line MN is 2/3

The slope of line RS is  -3/2

Step-by-step explanation:

slope of MN = [tex]\frac{3-(-1)}{3-(-3)}[/tex]  =  4/6 =  2/3

slope of RS = [tex]\frac{-2-1}{2-0}[/tex] = -3/2  this shows that Line RS are perpendicular

 lines RS is perpendicular to MN and PQ because it's sign is opposite hence it is perpendicular to MN and PQ

Answer:

The slope of line MN is Two-thirds.

The slope of line RS is Negative three-halves.

Line RS is perpendicular to both line MN and line PQ.

Step-by-step explanation:

hope it helps

the granola bar costs $1.50

the yogurt costs 50 cents = $0.50

Answer:

The answer is

N+ 1 = 3+2/2

=3

Step-by-step explanation:

The answer is 3

This is a odd number

Answer:

N + 1 = 3+ 2/2 =3

Step-by-step explanation:

I'm pretty sure is odd because it has the number three(3) and the number three (3) is odd.

Answer:

2 rows of 41

Step-by-step explanation:

i had the same question

The number of possible ways can the chairs be lined up is 2 rows of 41.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 2 \times 41[/tex]

= 82 chairs

Here 2 denotes the rows.

Therefore we can conclude that the number of possible ways can the chairs be lined up is 2 rows of 41.

Learn more: brainly.com/question/13549064

Answer:

The graph of f is shifted 6 units up to create the graph of g

Option A is correct option.

Step-by-step explanation:

We are given f(x)=x

and g(x)=f(x)+6

We need to find how f(x) and g(x) are related.

We know that according to translation rules:

if we have f(x) as original graph and f(x)+d as translated graph it means the original graph f(x) is shifted d units up.

So, in our case f(x)=x

g(x)=f(x)+6

The graph of f is shifted 6 units up to create the graph of g

Option A is correct option.

Answer:

b 1 1/7

Step-by-step explanation:

pretty sure its B 1 1/7

Answer:

18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

|3x - 2y| + 5

x = -3

y = 2

Step 2: Evaluate

Answer:18

Step-by-step explanation:

|3x-2y|+5

|3(-3)-2(2)|+5

|-9-4|+5

|-13|+5

13 + 5

18

Answer:

= .00963

Step-by-step explanation:

Move the decimal 3 places to the left.

= .00963

9514 1404 393

Answer:

Step-by-step explanation:

Each inch is 25 miles, so the number of miles is 25 times the number of inches.

  3 in ⇒ (3×25 mi) = 75 mi

  7 in ⇒ (7×25 mi) = 175 mi

  10 in ⇒ (10×25 mi) = 250 mi

Answer:

19

Step-by-step explanation:

x = 4

y = 4^2 + 3 = 16 +3 = 19

Note: I am assuming you mean ''on what domain is f+g is defined''.

Answer:

We conclude that

Step-by-step explanation:

Given the domain of f

[-3, 5]

Given the domain of g

[-2, 7]

In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.

so

Domain of f = [-3, 5]

The x-values lie in the domain of f interval are:

x = -3, -2, 1, 0, 1, 2, 3, 4, 5

Domain of g = [-2, 7]

The x-values lie in the domain of g interval are:

x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7

Therefore, the common x-values in both f and g would be:

-2, 1, 0, 1, 2, 3, 4, 5

Thus, we conclude that

Answer:

12

Step-by-step explanation:

24/2 = 12

Answer:

12

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

Here's how I got it:

3(x - 2) = 6x - 12

Multiply 3 times x and 3 times 2, this is what you would get

3x - 6 = 6x - 12

Then, subtract the lowest x with the bigger X, this way you would have x on one side:

3x - 6 = 6x - 12

-3x        -3x

This is what you should have after this:

-6 = 3x - 12

Now, to get the variable (letter that represents a number) by itself, you have to add 12 to both sides like this:

-6 = 3x - 12

+12        +12

You would get this:

6 = 3x

Finally, you have to get x by itself, so you have to divide 3 on both sides like this

6/3 = 3/3 x

That's why, your answer is 2

Answer:

the probability is 0%  

Step-by-step explanation:

is there options like

A

B

C

options

Answer:

1.8571428 hours

Step-by-step explanation:

Given that :

Price of stock A at 9 am = $12.53

Rate of increase = $0.12 per hour

Price of stock B at noon = $13.28

Rate of Decrease = $0.09 per hour

Let number of hours = x

Price of stock A at noon :12.53 + 0.12(3) = 12.89

12.89 + 0.12x = 13.28 - 0.09x

0.12x + 0.09x = 13.28 - 12.89

0.21x = 0.39

x = 0.39 / 0.21

x = 1.8571428

Hence the prices of the stock will be the at about 1.857 hours

Answer:

[tex]x = 46[/tex]

Step-by-step explanation:

Given

The three angles in the triangle are: x, 34 and 100

Required

Determine the value of x

Angles in a triangle add up to 180.

So, we have:

[tex]x + 34 + 100 = 180[/tex]

[tex]x + 134 = 180[/tex]

Subtract 134 from both sides

[tex]x + 134 - 134 = 180 - 134[/tex]

[tex]x = 180 - 134[/tex]

[tex]x = 46[/tex]

Hence, the measure of x is 46

Answer:

Step-by-step explanation:

y+1 = -2(x-3)

y = -2x + 6 - 1

y = -2x + 5