Sam completed the square for the quadratic equation y=1/2x^2−2x+3 in order to determine the minimum value of the equation, as shown.

Answers

Answer 1

Answer:

[tex](2,1)[/tex]

Step-by-step explanation:

You can just use the formula [tex]x=-\frac{b}{2a}[/tex]:

[tex]y=ax^2+bx+c[/tex]

[tex]y=\frac{1}{2}x^2-2x+3[/tex]

[tex]x=-\frac{-2}{2(\frac{1}{2})}=\frac{2}{1}=2[/tex]

[tex]y=\frac{1}{2}(2)^2-2(2)+3=\frac{1}{2}(4)-4+3=2-4+3=-2+3=1[/tex]

Therefore, the minimum value of the equation is [tex](2,1)[/tex]


Related Questions

11/8+(-11/10) Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

11/40

Step-by-step explanation:

[tex]\frac{11}{8} +(-\frac{11}{10})[/tex] [tex]\frac{11}{8}-\frac{11}{10}[/tex] [tex]\frac{11}{8}= \frac{55}{40}, \frac{11}{10} = \frac{44}{40}[/tex] [tex]\frac{55}{40} - \frac{44}{40}[/tex] [tex]\frac{11}{40}[/tex]

1) -7+2 +4 =
Simplifying expressions with absolute value

Answers

Answer: -1

So I Simplify the expression to the math problem -7+2 +4 = and got -1

Need help ASAP 80 points ?!!!

Answers

Answer:

its 175

Step-by-step explanation:

Just do the calculations backwards or solve equation

Answer: 35 I believe

Help plsssssssssssssssss

Answers

Answer:

1: slope; 3, y intercept; 3

2: slope; -1, y intercept; -2

3: slope; -4, y intercept; 4

4: slope; 1, y intercept; 0

Step-by-step explanation:

also, equation is y =mx+b

y intercept = b

m = slope

y axis = y

x axis = x

A big ship drops its anchor.
E represents the anchor's elevation relative to the water's surface (in meters) as a function of time t (in seconds).
E=−2.4t+7
How far does the anchor drop every 5 seconds?

Answers

Answer:

I don't know if I can you go outside and I can go to the store and get a little

Is y = (x - 1)(x + 7) linear or nonlinear

Answers

Yes it’s linear! Hope that helped

Five triangles are shown on the coordinate plane.

Which triangle is a possible reflection of triangle A?

Answers

Answer:

answer choice c!

Step-by-step explanation:

hope this helps!

A reflection is when you "flip" the shape across the axis.

Choice C would work because you can flip triangle a and make d over the x axis

Given that cot θ = 1/√5, what is the value of (sec²θ - cosec²θ)/(sec²θ + cosec²θ) ?

(a) 2/3
(b) 3/2
(c) 25/36
(d) 12/13​

Answers

Step-by-step explanation:

[tex]\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}[/tex]

[tex]\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{{sec}\theta = \dfrac{1}{cos\theta}}}}[/tex]

[tex]\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}[/tex]

[tex]\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}[/tex]

[tex]\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}[/tex]

[tex]\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}[/tex]

Taking sin²θ common in both numerator & denominator, We get :

[tex]\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}[/tex]

[tex]\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{cot\theta = \dfrac{cos\theta}{sin\theta}}}}[/tex]

[tex]\mathsf{\implies \dfrac{1 -cot^2\theta}{1 + cot^2\theta}}[/tex]

[tex]\mathsf{Given :\;cot\theta = \dfrac{1}{\sqrt{5}}}[/tex]

[tex]\mathsf{\implies \dfrac{1 - \left(\dfrac{1}{\sqrt{5}}\right)^2}{1 + \left(\dfrac{1}{\sqrt{5}}\right)^2}}[/tex]

[tex]\mathsf{\implies \dfrac{1 - \dfrac{1}{5}}{1 + \dfrac{1}{5}}}[/tex]

[tex]\mathsf{\implies \dfrac{\dfrac{5 - 1}{5}}{\dfrac{5 + 1}{5}}}[/tex]

[tex]\mathsf{\implies \dfrac{5 - 1}{5 + 1}}[/tex]

[tex]\mathsf{\implies \dfrac{4}{6}}[/tex]

[tex]\mathsf{\implies \dfrac{2}{3}}[/tex]

Hence, option (a) 2/3 is your correct answer.

REPSOT* Which equation or inequality shows the relationship between the plotted points on the number line
A. 3 < -6
B.-6 > -3.
C.-6 < -3
D.-3 < -6

Answers

Answer:

C

Step-by-step explanation:

-6 is further to the left in the number line.

Can you help me please.

Answers

Answer:

y = -1x - 2/2

Step-by-step explanation:

Slope is -1

B = 2/-2

Answer:

y = x - 4

Step-by-Step Explanation:

Perpendicular lines have slopes that are negative reciprocals—multiplying their slopes result in -1.

Given the slope of a line m = -1, then it means that the slope of the other line must be 1 (because multiplying the slope of line 1  (m1 = -1), and the slope of the other line (m2 = 1) results in: -1 × 1 = -1).

Therefore, given the slope of line 2 (m2 = 1), and the point (2, -2), we could plug these values into the slope-intercept form and solve for the y-intercept (b):

y = mx + b

-2 = 1(2) + b

-2 = 2 + b

Subtract 2 from both sides to solve for b:

-2 - 2 = 2 - 2 + b

-4 = b

Therefore, the y-intercept (b) = -4.

Hence, the equation of the perpendicular line is: y = x - 4

Please mark my answers as the Brainliest if you find my explanation helpful :)

(Calculus)
please help me !

Find an equation for the tangent line to the graph of f(x) = 2x x+1
at the point where x=3

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is 12x - 17.

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

Given the function f(x) = 2x – evaluate f (4). Enter your answer as a decimal.

Answers

Step-by-step explanation:

F(x)=2x

but x= 4

F(x)= 2(4)

F(x)= 8

1/8 is same as 8

0.125

please help ill mark brilliant​

Answers

B is the answer to the question :)
Answer: B

Explanation: Trust me

Solve for x.
x+5
___ = 3/8
x+8

Answers

Answer:

the answer would be  -16/5

Step-by-step explanation:

Answer:

[tex]x = - \frac{16}{5} [/tex]

Step-by-step explanation:

[tex] \frac{x + 5}{x + 8} = \frac{3}{8}[/tex]

8 (x + 5) = 3 (x + 8)

8x + 40 = 3x + 24

8x - 3x = 24 - 40

5x = -6

x = -16 ÷ 5

x = -16/5

Use the distributive property to remove the parentheses.
3(8+v)

Answers

Answer:

24 + 3v

Step-by-step explanation:

multiply 3 with 8

and

multiply 3 with v

Answer:

3(8+v)

3*8=24

3*v=3v

24+3v

Step-by-step explanation:

Multiply 8 by 3 and v by 3 to get 24+3v

explain and solve asap please

Answers

Answer:

175

Step-by-step explanation:

m<1=87

92x2=184

184-360=176

176/2=88

m<2=88

m<1+m<2=

87+88=175 degrees

Isha, a super excited candy crush user, has increased her points by 75% percents in a week. shes at 14000 points now. how many points did Isha have on candy crush last week?

Answers

If she has increased by 75% in a week to get 14000 points then  we can say that 175% times a number has to equal 14,000 , where the number of points she had last week.

175% * x = 14000

1.75x =14000     Divide both sides by 1.75

x= 8000

So she had 8000 points last week.

Check:

175% * 8000= 14000

1.75 * 8000 = 14000

  14000 = 14000

Answer:

8,000 points

Step-by-step explanation:

x + 0.75x = 14,000 (the initial amount of points X plus 0.75x)

1.75x = 14000

x = 14000/1.75

x = 8,000

Help??????????!!!!!!!!!!!! yes

Answers

Answer:

(7,2)

Step-by-step explanation:

have a lovely day

helppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

Answer:

a) 8:20

b) 14:28

Step-by-step explanation:

(2x+1)(4-x)=0 Please I need help

Answers

im pretty sure its: x = 4 (like 90% sure)

Prove segment GF = segment HF

Answers

Answer:

GF = FH

Step-by-step explanation:

GEF & FIH

EF = FI (equal)

GEF = FIH (alternate angle)

EG = HI (parallel sides equal)

GEF & FIH are congruent, under the case of (SAS)

therefore, GF = FH (corresponding angle)

ABCD is a parallelogram.
AB = 8.9 cm.
AD = 6.7 cm.
Angle BAD = 74°.

Calculate the area of parallelogram ABCD.
Give your answer correct to 3 significant figures.

Answers

Answer:

Area: AB × AD × sin 74= 8.9×6.7×24/25= 57.244 cm^2

If f(x) = x4 – x3 + x2 and g(x) = -x?, where x # o, what is (f/g)(x)?
O
x²-x+1
x²+x+1
-x2+x-1
-x² – x-1

Answers

Answer:

[tex]-x^2+x-1[/tex]

Step-by-step explanation:

Thanks!!!!

The composition of function f ( x ) / g ( x ) = -x² + x - 1

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x⁴ - x³ + x²

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = -x²

Now , the composition of function is ( f/g ) ( x )

On simplifying , we get

( f/g ) ( x ) = f ( x ) / g ( x )

f ( x ) / g ( x ) = x⁴ - x³ + x² / -x²

f ( x ) / g ( x ) = -x² + x - 1

Hence , the function is A = -x² + x - 1

To learn more about composition of functions click :

https://brainly.com/question/17673639

#SPJ7

Enter the number in scientific notation.
50,000 =
x10 to the power of?

Answers

Answer:

5x104

Step-by-step explanation:

Answer:

5 * 10⁴

Step-by-step explanation:

50,000 is 5 * 10,000

10,000 = 10⁴

Thus, 50,000 = 5 * 10⁴

what is number 4 and 6?​

Answers

Step-by-step explanation:

4 ) 12 × 12

= 144

6 ) 10 × 10 × 10 × 10 × 10

→ 100000

• it's also a mathematical symbol for multiply by similar to × and *.

hope this answer helps you dear..take care!

Answer:

4= 144. 6= 100000

Step-by-step explanation:

use a calculator to get the answers

Which equation or inequality shows the relationship between the plotted points on the number line
A. 3 < -6
B.-6 > -3.
C.-6 < -3
D.-3 < -6

Answers

Answer:

C

Step-by-step explanation:

-6 is more to the left of the number line than -3

What is the value of X?

Answers

It’s C. Sorry for my bad drawings haha

EVERYONE LISTEN!!! THIS IS VERY IMPORTANT!!! TEACHERS DO NOT LIKE BRAINLY, THEY HAVE ADMITTED TO MAKING FALSE ANSWERS SO THAT THEY CAN CATCH YOU!!! BE CAREFUL!!!

Answers

Answer:

thank you...........................................

Which expression is equivalent to13 p + 15? Btw happy almost halloween

Answers

Answer:

13

Step-by-step explanation:

13p + 15

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of [tex]ax^{n}[/tex] is [tex]nax^{n} ^{-1}[/tex]

[tex]13p^{1-1}[/tex]

subtract 1 from 1

[tex]13p^{0}[/tex]

For any term t except 0, [tex]t^{0}[/tex] = 1

13 × 1

For ant term t, t × 1 = t and 1t = t

13

PS: Happy Almost Halloween too =)

.

Make s the subiect of v2 = U2+ 2as

Answers

Answer:

v2=U2+2as

v2-U2=U2-U2+2as

v2-U2=2as

(v2-U2)/2a=2as/2a

v2-U2/2a=s

s=(v2-U2)/2a

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