1.
Identify the minimum value of the function y = 3x^2 − 12x + 10.

A. −2

B. 10

C. 46

D. 2

Answers

Answer 1

Answer:

-2

Step-by-step explanation:

Answer 2

Answer:

A

Step-by-step explanation:

The minimum value is the y- coordinate of the vertex

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 3x² - 12x + 10 ← is in standard form

with a = 3 and b = - 12 , then

x = - [tex]\frac{-12}{6}[/tex] = 2

Substitute x = 2 into the function for corresponding y- coordinate

y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2

Then minimum value of the function is - 2


Related Questions

The coordinates of the vertices of △PQR are P(1, 4), Q(2, 2), and R(−2, 1). The coordinates of the vertices of △P′Q′R′ are P′(−1, 4), Q′(−2, 2), and R′(2, 1).

Which statement correctly describes the relationship between △PQR and △P′Q′R′?

1. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

3. △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′.

4. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.

no links please

Answers

Answer:

the Answer is:

△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.

Step-by-step explanation:

I got 100% on the quiz

The two triangles ΔPQR and ΔP'Q'R' are congruent.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

The statement that correctly describes the relationship between △PQR and △P′Q′R′ is:

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

From the attached graph we can observe that the given Triangle PQR is reflected across the y-axis.

In this case, a translation, a reflection across the x-axis, but a reflection across the y-axis can map △PQR onto △P′Q′R′. Therefore, the two triangles are congruent.

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ7

Solve the given equation

x – 1 + 5x = 23

Answers

Step-by-step explanation:

x - 1 + 5x = 23

6x - 1 = 23

6x = 23 + 1 = 24

6x = 24

x = 24/6

x = 4 ans.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.

In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?

Answers

Answer:

2.42

Step-by-step explanation:

I AM VERY SORRY IF ITS WRONG

ANSWER PART B


Sia designs a board game in which a card is drawn on each turn.

• A blue card means move forward 4 squares.
• A red card means move back 6 squares.

Liam suggests adding some other cards to Sia's game

Part A
Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.

ANSWER PART B


How could Liam use red, blue, and yellow cards to describe each of the following motions? Write equations to support your answer. • A green card means move forward 2 spaces. • An orange card means move 8 spaces backward. • A purple card means move forward 10 spaces.

Answers

Answer:

Answer:Back 2

Step-by-step explanation:Blue + Red=-2

Step-by-step explanation:

PLEASE ANSWER THIS RIGHT ASAP

Answers

Answer:

x=9

Step-by-step explanation:

23=7/9(6x-36)+9

Distribute 7/9.

23=14/3x-28+9

Add.

23=14/3x-19

Add 19 to both sides of the equation.

42=14/3x

Divide 14/3 from both sides of the equation.

X=9

Hope this helps :)

23= 7/9(6x-36)+9
<=>23= 14/3x-83/3+9
<=>43= 14/3x
<=> x= 9
Ok done. Thank to me :>

Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of each congruence theorem to prove that need to know.

Answers

The given information on the diagram of the projector and the image can

be used to prove the congruency of the triangles.

∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and

segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem

Reasons:

The figure of the projector that casts an image on the screen is attached.

The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]

From the drawing, we have;

∠ABD ≅ ∠CBD by equal number arc mark.

The two column proof is therefore, presented as follows;

Statement [tex]{}[/tex]                                            Reason

[tex]\overline {BD}[/tex] is perpendicular bisector of   [tex]{}[/tex][tex]\overline {AC}[/tex]   Given

[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex]   [tex]{}[/tex]                                             Definition of bisected line [tex]\overline {AC}[/tex]  

∠BDC = 90°       [tex]{}[/tex]                                      [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠BDA = 90°                         [tex]{}[/tex]                    [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠ABD ≅ ∠CBD [tex]{}[/tex]                                       Given on the diagram

ΔABD ≅ ΔCBD  [tex]{}[/tex]                          by Angle-Angle-Side AAS Congruency rule

The Angle-Angle-Side, AAS, Congruency postulate states that two

triangles are congruent where two adjacent angles and a non included side

on one triangle are congruent to the corresponding two adjacent angles

and a non included side on the other triangle.

Learn more here:

https://brainly.com/question/15274307

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

Its 65

1ft=304.8mm

help please
denominator only

Answers

Answer:

2+3=5 3-5=2

Step-by-step explanation:

that's the answer

please i really need help



The perimeter of each shape is 3 units? True or False?​

Answers

The perimeter of each shape is false
4(2.5x-3)=3(2x-2)
10x-12=6x-6
4x-12=-6
4x=6
x=1.5

2.5(1.5)-3= 0.75
2(1.5)-2=1

False

helpppppppppppppppppppppppppppppppp

Answers

Answer:

x ≤ -14

Step-by-step explanation:

What is the solution for the inequality 4≤r/18+10?

Answers

[tex]4 \leq \dfrac{r}{18} +10\\\\\\\implies 4-10 \leq \dfrac{r}{18}\\\\\\\implies -6 \leq \dfrac r{18}\\\\\\\implies -6(18) \leq r\\\\\\\implies -108 \leq r\\\\\\\implies r \geq -108\\\\\\\text{Interval,}~ [-108 , \infty)[/tex]

What is (-2) power 35?

Answers

Answer: − 34359738368

Help please and thank you!

Answers

they would be confirmation

Answer:

... are ...

Step-by-step explanation:

Verify if the ratio of corresponding sides is same:

Long sides ratio: 38/19 = 2Middle sides ratio: 28/14 = 2Short sides ratio: 20/10 = 2

Since the ratios are same the triangles are similar

Will give brainliest!

Answers

Answer:

D. 5/4

Step-by-step explanation:

Reciprocal is flipping that number around

x-8/2=-14
solve for x

Answers

Answer:

-20

Step-by-step explanation:

-14 x 2 = -28

-28 + 8 = -20

There you go :D

Answer:

-10

Step-by-step explanation:

first Solve for the fraction

-8/2= -4

x-4= -14

next add the negative 4 to 14

x=-10

and there's you're answer!

Does anyone know which one it is??​

Answers

Answer:

Limited economic options

Step-by-step explanation:

Answer:

A i think

Step-by-step explanation:

do to the way peasants lived they did not have options most of the time

Round this number to the nearest one.

3.5

Answers

Hello there, hope you are having a nice day.

This is the rule for rounding:

If the number is less than 5, we round down.

    - Example: 3.4 =>3

If the number is greater than or equal to 5, we round up.

     - Example: 6.7 =>7

Using this rule, we can round 3.5:

3.5 =>4

Hope it helps. Ask me if you have any queries.

Please mark Brainliest. It would mean a lot to me.

~An emotional teen who helps others with joy

Good luck.

The minute hand of a clock turns 6 degrees per minute. In ten minutes the minute hand turns what fraction of a full 360 turn?

Answers

Answer:

25%

Step-by-step explanation:

15 times 6 is 90

90 is 25 % of 360

Please help me with this homework …

Answers

Answer:

I think letter B

Step-by-step explanation:

Yyyyyyyygggggggggggggggg

Fill in the blank.

The

is the intersection of the three medians in a triangle.

O centroid

O incenter

O orthocenter

O circumcenter

Answers

O centroid

Step-by-step explanation:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Select the equation of a line in slope-intercept form that passes through (-2, 2) and is perpendicular to the graph of y=1/2 x-2.

Answers

Answer:

y=-2x-2

Step-by-step explanation:

since the line is perpendicular to y=1/2x - 2, the slop is -1/(1/2)=-2. so we have y=-2x+b. now plug in the point given: 2= -2(-2)+b, 2=4+b, b=-2, y=-2x-2

A group of 100 students were asked if they study French Which statements are correct? Check all that apply.
or Spanish in school. The results are shown in this two-
way table.
5 students study both French and Spanish.
63 students study French.
Not
French
French
Total
2 students study neither French nor Spanish.
30 students study French, but not Spanish.
Spanish 5
63
68
63 students study Spanish.
תס
Not
Spanish
30
N
32
Total
35
65
100

Answers

Answer:

2 students study neither french or Spanish

write answer in scientific notation. (2.66×10¹³)÷(9.5×10⁵)​

Answers

Answer: 28,000,000

Step-by-step explanation:

This is a long one.

Start with (1) 2.66 times 10 to the 13th = 26,600,000,000,000 {2.66E13}

(2) 9.5 times 10 to the 5th = 950,000

(3)  2.66E13 divided by 950,000 = 28,000,000

If this dosnt make any sense dont hesitate to say so.

what is 39/17 as a decimal rounded to the nearest tenths?

Answers

Answer:

Definitely 2.3

Step by step explanation:

Find the angle measure.

The measure of the angle is ?

Answers

Answer:

133°

Step-by-step explanation:

The angle X is the same as the given.

TRANSVERSAL LINE

[tex]\mathbb{ANSWER:}[/tex]

⇒ The two parallel lines are cut by a transversal so the interior angles on the same side of a transversal are congruent. This means that the measurement of the second angle is also 133 degrees.

Hence, the measurement of the angle is also 133 degrees.

will give brain for right answer

Answers

Answer:

luna

Step-by-step explanation:

compare the y values when x=0. looking at the table, gracey was 1 lb at week 0, and looking at the graph, Luna was 2 lbs at week 0 (y-intercept) so luna was heavier at birth

make x the subject of the formula
y=a √x

Answers

Answer:

Y^2/a = x

Step-by-step explanation:

Y = a sqr X

Square both sides

Y^2 = a * x

Divide a

Y^2/a = x

Answer:

[tex] x = \dfrac{y^2}{a^2} [/tex]

Step-by-step explanation:

[tex] y = a\sqrt{x} [/tex]

Square both sides.

[tex] (y)^2 = (a\sqrt{x})^2 [/tex]

[tex] y^2 = a^2(\sqrt{x})^2 [/tex]

[tex] y^2 = a^2x [/tex]

Divide both sides by a².

[tex] \dfrac{y^2}{a^2} = x [/tex]

Switch sides.

[tex] x = \dfrac{y^2}{a^2} [/tex]

linear equations

1. 4= x + 2
2. 6= x-3
3. 7= a + 4
4. 6= x - 7
5. 1= c - 2
6. 5= s + 2
7. x + 3=10
8. c + 4= 4
9. 3= b + 2
10. 6 + c= 10
11. 7= x + 3
12. x + 1= 9
13. x + 3= 15
14. y -6 = 4
15. x - 7 = 4
16. 6= x - 4
17. x - 4 = 2
18. x - 9 = 2​

Answers

1. x = 2
2. x = 9
3. a = 3
4. x = 13
5. c = 3
6. s = 3
7. x = 7
8. c = 0
9. b = 1
10. c = 4
11. x = 4
12. x = 8
13. x = 12
14. y = 10
15. x = 11
16. x = 10
17. x = 6
18. x = 11

please help me with this soon much appreciated.

Answers

Answer:

1 : 2

Step-by-step explanation:

this is a 30-60-90 triangle which is a special right triangle. the ratio of the sides is x: x*sqrt(3): 2x, in the order short leg: long leg: hypotenuse. so the ratio of the short leg to the hypotenuse is x:2x or 1:2

Anyone help for brainlist:)
Determine the graph of the function -->f(x)=2^x−1

Answers

Answer:

it is D

Step-by-step explanation:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is  y = − 1 .  Horizontal Asymptote:  y = − 1

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