determine whether g(x)=x2-5x+2 has a minimum of maximum

Answers

Answer 1

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


Related Questions

Max's desk is 34 inches tall. There are approximately 2.54 centimeters in 1 inch.
Which of the following best represents the height of Max's desk in centimeters?

Answers

86.36cm(centimeters) in height, hope this helps :)

if 3 pipes can fill the tank completely in 2 hour then when will 1 pipe fill the tank​

Answers

Answer:

6 hours

Step-by-step explanation:

If g(x) = 2x2 + 6x + 5, use synthetic division to find g(-5).

Answers

Answer:  25

=================================================

Explanation:

Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).

Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.

As a way to check the answer, we can say

g(x) = 2x^2 + 6x + 5

g(-5) = 2(-5)^2 + 6(-5) + 5

g(-5) = 25

So the answer is confirmed.

please help me answer this i will give brainliest and 5 star rating!!

Answers

x = 14 inches.

you can solve this by using proportions.
8/20 = x/35
280 = 20x
/20 /20
14 = x

The population of Salisa is 12,500 and increases by 300 each month. The population of Corsair is 13,200 and increases by 200 each month. How many months will it take until the population of the two cities is the same?

Answers

It will take seven months for the population of each city to be the same.

On month seven, Salisa's population will be 14,600. (300x7=2,100+12,500=14600)

On month seven, Corsair's population will be 14,600 as well. (200x7=1,400+13,200=14600)

Here is a triangle with the height on the side of the triangle. Use the formula: (1/2)*(Base)*(Height) to find the area of the triangle at the left.​

Answers

(If one square on the graph = one centimeter)

b = 10cm

b = 10cmh = 10cm

Area:

[tex] = \frac{1}{2} \times b \times \: h[/tex]

[tex] = \frac{1}{2 } \times 10 \times 10[/tex]

[tex] = \frac{1}{2} \times 100[/tex]

[tex] = 50 {cm}^{2} [/tex]

Solve for k
Please help!

Answers

Answer:

k = 0.3

Step-by-step explanation:

Multiply both sides by 2 * k

3 = 5 * 2*k      Combine like terms on the right

3 = 10 * k        Divide by 10

k = 3/10

k = 0.3

Yo can I get some help with this !

Answers

Answer:

45

Step-by-step explanation:

Answer:

a = 45

b = 15

Step-by-step explanation:

From the information given, you can deduce that both ΔPQR and ΔPSR are isosceles triangles that share base PR. This means that ∠a = ∠SRP because the base angles of an isosceles triangle are always congruent.

Because the vertex of ΔPSR is 90°, you know that the base angles add up to 90 because 180(sum of a triangle's angles) - 90 = 90. 90/2 = 45, so a = 45.

To find b, you need to subtract the base angle of ΔPSR from the base angle of ΔPQR. ΔPQR's base angle is 60, because 180 - 60 = 120 and 120/2 = 60. 60 - 45 = 15, so b = 15.

3(4x+8) + 3(2x - 6)
Match the equivalent expressions

Answers

Answer:=18x+6

Step-by-step explanation:

3(4x+8)+3(2x-6)

12x+24+6x-18

12x+6x+24-18

18x+6

Solve the following system.
5x - 5y + 8z = 6
x + 2y + z = 12
3y - z = 10

Answers

The answer is (2,4,2)

WILL GIVE BRAINLIEST!!

Which statement describes the transformation of M to circle N?
A. The circle was translated down 5 units and dilated by a factor of 1/2
B.The circle was translated down in 1 unit and dilated by a factor of 2
C. The circle was translated down 5 units in dilated by factor of 1/3
D. The circle was translated down in 1 unit and dilated by a factor of 3

Answers

Answer:

C. The circle was translated down 5 units in dilated by factor of 1/3

Step-by-step explanation:

The circle was translated down 5 units in dilated by factor of 1/3

Answer:

C

Step-by-step explanation:

5. Write the equation in slope-intercept form. 6x + 9y = 27​

Answers

Answer:

y= -6/9 x + 3

Step-by-step explanation:

subtract 6x from both sides

9y = -6x + 27

divide by 9

y= -6/9 x + 3

Answer:

Step-by-step explanation:

6x + 9y = 27

9y = -6x + 27

y = -[tex]\frac{6}{9}[/tex]x + 3

y = - [tex]\frac{2}{3}[/tex]x + 3

Order the sides of each triangle from shortest to longest

Answers

Bbbvvvvvgttrffgghhhhh

3. A certain 50 cm spring will stretch (in
cm) the weight (in kg) attached to
it. How long will the spring be if a 35
kg weight is attached to it?

Answers

Complete Question

A certain 50 cm spring will stretch (in  cm) one fifth  the weight (in kg) attached to  it. How long will the spring be if a 35  kg weight is attached to it

Answer:

The value is [tex]L_w = 57 \ cm[/tex]  

Step-by-step explanation:

The length of the spring is [tex]L = 50 \ cm = 0.5 \ m[/tex]

 The  mass attached to it is  [tex]w = 35 \ kg[/tex]

Generally given from that the spring will stretch one fifth of the weight  (in kg)attached to it , it then means that the  new length of the spring whenever a weight is attached to it is mathematically represented as

          [tex]L_w = L + \frac{W}{5}[/tex]

=>      [tex]L_w = 50 + \frac{35}{5}[/tex]  

=>      [tex]L_w = 57 \ cm[/tex]  

 

3x+5y=5+3y plz help with prob thxs

Answers

Answer:

x= 5/3-2y/3

y= 5/2-3x/2

Step-by-step explanation:

i solved it woww

^^^ this one alsoooooo

Answers

Answer:

the first option

Step-by-step explanation:

BED = 180°-65°

= 115°

Answer:

115°

Step-by-step explanation:

Since CE is perpendicular to AD , then ∠ AEC = 90° and

∠ BEC = 90° - 65° = 25° , then

∠ BED = ∠ BEC + ∠ DEC = 25° + 90° = 115°

What is the measure of

Answers

90 degrees to the left

Please show your work and solve the proportion!

Answers

Answer:

x = 1/9

Step-by-step explanation:

we want to solve the proportion;

we simply cross multiply the values

Mathematically, that will be calculated as follows;

6x * 21 = 2 * 7

6x * 21 = 14

6x = 14/21

2(3x) = 2(7/21)

3x = 7/21

3x = 1/3

x = 1/3/3

x = 1/9

Which of these strategies would eliminate a variable in the system of equations?
\begin{cases} 6x + 5y = 1 \\\\ 6x - 5y = 7 \end{cases}









6x+5y=1
6x−5y=7


Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
Subtract the bottom equation from the top equation.

(Choice B)
B
Add the equations.

(Choice C)
C
Multiply the top equation by 777, then subtract the bottom equation from the top equation.

Answers

9514 1404 393

Answer:

A  Subtract the bottom equation from the top equation.B  Add the equations.

Step-by-step explanation:

The x-terms are the same in each equation, so subtracting one equation from the other will eliminate the x-variable.

The y-terms are opposites in the two equations, so adding the two equations will eliminate the y-variable.

Both strategies (subtracting, adding) are applicable to this system of equations.

The equation f = V + at represents the final velocity of an object, f, with an initial velocity, w, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
Of-v=a
Of-vra
1
Of+V = a
o+v=a

Answers

Answer:

hey

Step-by-step explanation:

the answer is 5

Fill in the blanks below in order to justify whether or not the mapping shown represents a function
(Will mark brainliest)

Answers

Answer:

kk 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Set A:

-2

2

3

-4

Set B:

1

6

-1

**** -2 goes with 6

2 goes with -1

3 goes with 1

-4 goes with1

Write 1.26% as a
precent and fraction

Answers

Answer:

126%

Step-by-step explanation:

Answer: 126/100 126%

Step-by-step explanation:

convert y+1= 6/11(x+11) to slope-intercept

Answers

Answer:

need more info

Step-by-step explanation:

plz comment so i know

Answer:

y = 6/11x + 5

Step-by-step explanation:

y + 1 = 6/11 (x + 11)

distribute 6/11

y + 1 = 6/11x + 6

  - 1              - 1

y      = 6/11x + 5

Hope this helps!!

Also, mark me brainliest thank you!!!

In case you don't know how click the crown at the bottom of this answer next to the comments button.

Given the graphs of y = 3x - 1 and y = -2x + 1, determine
which ordered pair is a solution to:
y < 3x - 1
y > - 2x + 1

(-4,2)
(0,4)
(4,2)
(2,-4)

Answers

Answer:

Я могу заплатить, но я никогда не хотел

Победы любой ценой.

Я никогда не хотел, чтобы чья-то грудь была под моей ногой.

Я бы лучше остался здесь с тобой,

Просто остался здесь с тобой,

Но звезда, что высоко в небе, по-прежнему показывает мой путь.

Step-by-step explanation:

(1 /a+ 1/b) (a+b-c)+(1/b+1/c) (b+c-a) + (1/c+1/a)(c+a-b)
plz solve this question

Answers

Answer:

(1 /a+ 1/b) (a+b-c)+(1/b+1/c) (b+c-a) + (1/c+1/a)(c+a-b)

plz solve this question

Step-by-step explanation:

3 is the ans

Please can someone please help me with this one question??????

Answers

Answers:

angle K = 50 degreesangle L = 90 degreesangle KML = 40 degreesangle LMN = 140 degrees

========================================================

Explanation:

Rule: The interior (inside) angles of a triangle always add to 180

K+L+M = 180

5x+9x+4x = 180

18x = 180

x = 180/18 ... divide both sides by 18

x = 10

That x value directly leads to...

angle K = 5x = 5*10 = 50 degreesangle L = 9x = 9*10 = 90 degrees (aka right angle)angle M = 4x = 4*10 = 40 degrees

As a check,

K+L+M = 50+90+40 = 180

This confirms we have the right x value.

--------------------------

We can further say,

angle KML = interior angle M = 40 degreesangle LMN = 180 - (angle KML) = 180 - 40 = 140 degrees

note how interior angles K and L add to exterior angle LMN

50+90 = 140

This is an application of the remote interior angle theorem.

Answer:

Angle K = 50

Angle L = 90

Angle KML = 40

Angle LMN = 140

Step-by-step explanation:

Solve for x. We know that triangles' interior angles add up to 180.

So, we can set the values to equal to 180 and solve for x.

5x + 9x + 4x = 180

Simplify.

18x = 180

Now, divide by 18.

x = 10

Now, plug 10 in for each angle.

Angle K = (5 * 10) = 50

Angle L = (9 * 10) = 90

Angle KML = (4 * 10) = 40

For this last angle, we use the supplementary theorem that says "angles that are supplementary to each other add up to 180".

So, we do angle LMN + 40 = 180

Angle LMN = (180 - 40) = 140

#teamtrees #WAP (Water And Plant)

Find the slope of a line parallel to each given line

Answers

Answer:

Slope: 1

Step-by-step explanation:

y = mx + b

m = Slope

y = x - 4

m = 1

Help i'll give you brainliest

Answers

Answer:Step-by-step explanation:

the first one and third one

it’s the first one and fourth one <3

What is 8b - ab + 7a subtracted from 3a - 9ab + b? ​

Answers

Answer:

10a-10ab-7b

Step-by-step explanation:

i dont feel like putting the steps but ik this is correct

The answer is -4a -8ab -7b after subtracting  8b - ab + 7a from 3a - 9ab + b.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have two expressions:

8b - ab + 7a and  3a - 9ab + b

After subtracting:

= (3a - 9ab + b) - (8b - ab + 7a)

= -4a -8ab -7b

Thus, the answer is -4a -8ab -7b after subtracting  8b - ab + 7a from 3a - 9ab + b.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Two angles of a Triangle measure 55° and 22° What is the measure of the third angle of the triangle

A. 15°
B. 90°
C. 105°
D. 285°

Answers

Answer:

c would be the closest

Step-by-step explanation:

All triangles equal 180*. so if you combine the 2 angles, which adds up to 77* then that would leave the third angle to be 103* but since that isnt an option choose c since its the closest.

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