[tex]f(x) = 2x^{2} +5x-2[/tex]

Answers

Answer 1

Answer:

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} + 5x - 2[/tex]

[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x) - 2[/tex]

[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]

[tex]f(x) + 2 \times \frac{25}{16} = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - 2 - \frac{25}{8} [/tex]

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]


Related Questions

Hey! I hope you’ve had a good day:) I just need help in geometry right now. Can someone take a look at this question?

Answers

Answer:

(5,2)

Step-by-step explanation:

midpoint formula for future reference

(x1+x2/2),(y1+y2/2)

(3+7/2),(-5+9/2)

(10/2),(4/2)

(5,2)


Please help me asap

Answers

Umm… sorry to say but the image is black. Please kindly resend it again!

math! help! pls! pls!

Answers

Answer:

3. MNP = OPN

Step-by-step explanation:

the second could be as well, but the sequence is the same for the third option, thus the second option is wrong

The third one is correct. △MNP≌△OPN
Hope my answer helped u :)

Peyton needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $77 for parts. The total was $497. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answers

Answer:

Step-by-step explanation:

the equatoin is 4x+77=497

and x is the hours spent

so solving it you subtract 77 from 497 which is 420 and 420/4 is equal to 105

How many solutions are there to the equation below?
145 = 10x - 8x
O A. infinitely many
O B. 2
O c. 1

Answers

Answer:

c. one solution

Step-by-step explanation:

[tex]145 = 10x - 8x \\ 2x = 145 \\ x = 72.5[/tex]

Answer:

C

Step-by-step explanation:

yes

this is the answer for sure

what is 4.414*10 9 in standard form

Answers

Answer:

4,414,000,000

Step-by-step explanation:

4.414x10^9, move the decimal place 9 places to the left.

B
8
С
Find the length of "c" to the
nearest tenth using the
Pythagorean Theorem.
Enter

Answers

Answer:

10.6

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Where a and b = the legs and c = hypotenuse

We are given two legs and need to find the hypotenuse

Given:

Short leg (a) = 7

Long leg (b) = 8

Hypotenuse = c

Now to find the value of c we simply plug in the values of the variables into the Pythagorean theorem and solve for c

Pythagorean theorem: a² + b² = c²

a = 7, b = 8, c = c

Plug in values

7² + 8² = c²

Now solve for c

Simplify exponents

49 + 64 = c²

Add

113 = c²

Taking the square root of both sides

c = 10.6 ( rounded to the nearest tenth )

Answer:

c = 10.6

Step-by-step explanation:

[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ c {}^{2} = (8) {}^{2} + (7) {}^{2} \\ c = \sqrt{64 + 49} \\ c = \sqrt{113} \\c = 10.6[/tex]

A rectangle has perimeter 66 cm and length 27 cm. What is its width?
(help pls it’s my hw)

Answers

Answer:

Step-by-step explanation:

A rectangle has the perimeter of 66cm, and since a rectangle has 2 lengths and 2 widths, we can tell that 2 widths = 66-27*2 = 12

so 1 width is half of 12 which is 6

A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?

Answers

Answer:

1,000 pencils  

Step-by-step explanation:  

First, there are 10,000 cents in $100.  

So divide 10,000 by 10.  

1,000.

I hope this helps!  

pls ❤ and mark brainliest pls

Helppp pleaseeeee

Which expression is equivalent to

Answers

Answer:

The second option

Step-by-step explanation:

First, simplify the bracket

[tex] \frac{4r {}^{3} s {}^{2} t {}^{4} }{2r {}^{4} st {}^{6} } [/tex]

Apply Quotient of Powers

[tex]2 {r}^{ - 1} s {t}^{ - 2} [/tex]

Which equals

[tex] \frac{2s}{rt {}^{2} } [/tex]

Raise this to the fifth power

[tex] \frac{32s {}^{5} }{ {r}^{5} t {}^{10} } [/tex]

Multiply by the outsides numbers(5^r^6 and t^4

[tex] \frac{160 {}^{} r {}^{6}s {}^{5} t {}^{4} }{r {}^{5} t {}^{10} } [/tex]

[tex]160r {}^{5} t {}^{ - 6} [/tex]

[tex] \frac{160r {}^{}s {}^{5} }{t {}^{6} } [/tex]

It take 5 minutes to help a restock an area. How much areas can you restock in 50 minutes?

Answers

Answer:

10 areas

Step-by-step explanation:

5 minutes = 1 area

→ Divide the 50 by the 5

50 ÷ 5 = 10

→ Multiply this by the area

10 × 1 = 10

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Answers

Answer:

The first choice.

Step-by-step explanation:

It pass through the x axis at x = 3, so a factor must be (x - 3).

Answer:

The first option is correct :)

~Hope this helps

4 The equation 5W + 3 = 4w + 9 is modeled below. w W 1 W W 1 1 W 1 1 W W 1 1 1 What value of w makes this equation true? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. MI - SI – PSA- S-​

Answers

Answer:

w = 6.

Step-by-step explanation:

5w + 3 = 4w + 9

5w - 4w = 9 - 3

w = 6

Then, check your work!

5(6) + 3 = 4(6) + 9

30 + 3 = 24 + 9

33 = 33

So, w = 6 will be the correct answer.

Hope this helps!

Simplify each expression completely.
7[3+2(x-4)-6(x-4)]

Answers

Answer:

21 + 14x - 56 - 42x + 168

= 133  - 28x

Step-by-step explanation:

Answer:

19 - 4x

Step-by-step explanation:

[tex]3 + 2(x - 4) - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6x + 24[/tex]

[tex]19 + 2x - 6x[/tex]

[tex]19 - 4x[/tex]

How would I simplify this expression

Answers

Answer:

-3 - 16b

Step-by-step explanation:

by simply doing the multiplication and then add combinable terms.

9 - 4(3 + 4b) = 9 - 12 - 16b = -3 - 16b

Explanation:

Let's simplify step-by-step:

9-4(3 + 4b)

Distribute:

= 9 + (-4)(3) + (-4)(4b)

= 9 + (-12) + (-16b)

Combine Like Terms:

= 9 + (-12) + (-16b)

= (-16b) +(9 + (–12) )

= -16b + (-3)

Answer:

-16b + (-3)

H. Pete wants a new truck. The sale price is 15% lower than the original price. The sale price is $20,000. Write and evaluate an expression for the original price. Uses for sale price and p for original price.​

Answers

SP=20000Discount=15%CP=?

100-15=85%=SP

[tex]\\ \sf\longmapsto 85\%\times x=20000[/tex]

[tex]\\ \sf\longmapsto \dfrac{85}{100}x=20000[/tex]

[tex]\\ \sf\longmapsto x=20000\times \dfrac{100}{85}[/tex]

[tex]\\ \sf\longmapsto x=235.2(100)[/tex]

[tex]\\ \sf\longmapsto CP=23520[/tex]

The length of a rectangle is twice the width. The perimeter is 30 cm. What is the width of the rectangle?
O A. 3.75 cm
B. 5 cm
C. 7.5 cm
OD. 10 cm
E. 15 cm

Answers

Answer:

B. 5 cm

Step-by-step explanation:

If the width was 5 cm, the length would be 10 cm.  (5 + 10) x 2 = 30 cm.

Find the difference between temperatures of 17 degrees celcius above zero and 12 degrees celcius below zero

Answers

Answer:

29° C

Step-by-step explanation:

-17(-12)

=29

Hope this helps

Answer:

29C

Step-by-step explanation:

Above zero temperature = +17C

Below zero temperature = -12C

Difference= 17 - (-12C)

                 = 17 + 12 C

                 =29C

Point B is on line segment AC. Given AB=4x-6, AC=2x+10, and BC=4, determine the numerical length of AC

Answers

Answer:

AC = 22

Step-by-step explanation:

AB + BC = AC , substitute values

4x - 6 + 4 = 2x + 10 , that is

4x - 2 = 2x + 10 ( subtract 2x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

AC = 2x + 10 = 2(6) + 10 = 12 + 10 = 22

which expression are equivalent to the given expression
y^-8 y^3 x^0 x^-2

Answers

Answer:

y^-24, x^-2 y^-5, 1/ y^24, x^2/y^11, x^2y^-11 and 1/ x^2y^5

ok i tried searching up the problem and how to solve it but didn`t come up with much.

i don`t know if this changes anything, but I noticed that some of these answers are opposites

ex (from the sequence you gave me in the comments below)                                      : y^-24, x^-2, y^-5, y^24, x^2,  y^5

maybe thats what it meant by matching the expressions?

again, sorry if this wasnt much help i have a small brain DD::

PLEASE HELP IM SO BEHIND IN SCHOOL ATM

Answers

Answer:

1 rational b/c terminating decimal

2 irrational b/c non-terminating decimal

3 rational b/c non-terminating decimal

4 rational b/c it in an integer, which are part of rational numbers

5 rational b/c non-terminating decimal

6 b) 7.625

Step-by-step explanation:

Write the equation of the circle centered at (4, - 9) with diameter 16.
HELP A GIRL OUT

Answers

Answer:

16= (x-4)^2 +(y+9)^2

Step-by-step explanation:

hey! The formula for the equation of a circle is r^2= (x-h)^2 + (y-k)^2

r= the radius (in your case you have the diameter so you do not need to square it)

(h,k)= is the center coordinates, so your center coordinate would be (4, -9). You now have your h (h=4) and your k (k=-9) so you can plug it in the formula! :)

a nice rating would help out

e) If the radede circle is 7em, then find the area of circle. al- (SSS. x at Solna -​

Answers

Hi

area of circle, which is call in proper math terme circumference ( latin for going around) is given by this formula :

2 times radius x pi

As math is all about knowing your formula and training, I let you have a shot. You wont progress other wise.

Ask in comment section if you are still blocked.

what must be added to 2x^2 - 5x - 12 in order to get 7x^2 - x - 18

Answers

Answer:

5x^2 +4x -6

Step-by-step explanation:

that is the answer

yep

Answer:

5x² + 4x - 6

Step-by-step explanation:

Subtract 2x² - 5x - 12 from 7x² - x - 18 , that is the opposite operation, that is

7x² - x - 18 - (2x² - 5x - 12) ← distribute parenthesis by - 1

= 7x² - x - 18 - 2x² + 5x + 12 ← collect like terms

= 5x² + 4x - 6

What's the answer to this plz!?!

Answers

Answer:

1/5

Step-by-step explanation:

There are 5 yogurts in total.

(1 raspberry, 2 strawberry, 1 blueberry, 1 vanilla)

The chance of pulling a vanilla is 1/5.

Answer:

20%

Step-by-step explanation:

1/5 or 20% or 0.2 is the chance of finding vanilla yogurt

find the L. C. M of no h and j​

Answers

L.C.M= (4x^2+y^2+2xy)(4x^2+y^2_2xy)(2x_y)(2x+y)

Answer:

question no. h is solve above therefore I solve question no j . hope this will help you ☺️

What is the solution of the equation?


-6x+5= 3-5x

Answers

Answer:

I think the answer is x = 2

Answer: 2

Step-by-step explanation:

-6x+5=3-5x

+5x +5x

-x +5=3

-5 -5

-x = -2

-2 -2

X=2

In a school library, 40% of the books are in Nepali language, 40% of the remaining books are in English and the remaining books are in regional languages. If the number of books in English language is 4800, find the total number of books in the library,​

Answers

Step-by-step explanation:

Solution,

Let the total number of books be x, then

Books in English language=4800

40% of x=4800

40/100×x=4800

40x/100=4800

40x=4800×100

40x=480000

x=480000/40

x=12000

So the total number of books in the library is 12000.

6) find HJ
8)find IK

Answers

Answer:

HJ = 17

IK = 30

Step-by-step explanation:

to find HI :

GH : 2

HI : ?

IJ : 12

GI : 7

HI = GI - GH

HI = 7- 2

HI = 5

HI + IJ = HJ

5 + 12 = HJ

17 = HJ

To find IK

IJ = ?

JK = 12

KL = ?

IL = 49

JL = 31

To find IK we need to find KL and IJ

KL = JL - JK

KL = 31 - 12

KL = 19

IJ = IL - (JK + KL)

IJ = 49 - 31

IJ = 18

IK = IJ + JK

IK = 18 + 12

IK = 30

. Point C is on line segment AB
so the ratio of AC to CB is 1 to
3. What are the coordinates of
Point ?

Answers

Answer:

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

3AC=CB

CB

AC

=

3

1

Since, A(1,1) and B(2,3) & m:n=1:3

Therefore, we have

C(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

(

1+3

(1)(2)+3(1)

,

1+3

(1)(3)+3(1)

)

C→(

4

5

,

2

3

).

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