graph g(x)=2(x−2) ^2 +2

Answer:

This word phrase into a equation is

4x -8 = 20

Answer:

R___S___T

RT=RS+ST

(17y-33) =( 9y+3)+(3y+4)

17y-33 = 12y+ 7

17y - 12y = 7+33

5y= 40

y=40/5

y= 8

RS = 9y+3 = 9(8)+3= 72+3=75

ST= 3y+4 = 3(8)+4=24+4=28

RT= 17y-33= 17(8)-33= 136-33= 103 —>

Or ; RT=RS+ST =75+28= 103

I hope I helped you^_^

42 feet.

Step-by-step explanation:

I think that it is 42 but don't know

Answer:

[tex]f(x) = - 4 {x}^{2} + 9 \\ \\ f( - 3) = - 4 ({ - 3}^{2} ) + 9 \\ = -4 (9) + 9 \\ = - 36 + 9 \\ = - 27[/tex]

I hope I helped you^_^

Answer:

-27

Step-by-step explanation:

to find f(-3) we must substitute x to -3 in the f(x)=  -4x² +9

f(-3) = -4(-3)² +9

f(-3) = -4*9 +9

f(-3) = -36 +9

f(-3) = -27

Answer:

67 + 38(mod5)

= 67 + 38 =105÷5 (mod5)

= 21 reminder 0 ( mod 5)

Since while handling modes or finites the reminder is always considered therefore;

67 + 38 = 0 ( mod 5)

Answer:

-59049/1048576

Step-by-step explanation:

using indices law you just follow the steps

Answer: sqrt 53

Step-by-step explanation:

Sqrt [(2 - - 5)^2 + (6-4)^2] =

Sqrt (7^2+ 2^2) = sqrt 53

Answer:

[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]

Or:

[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]

Step-by-step explanation:

We are given two complex numbers:

[tex]\displaystyle m + ni \text{ and } p + qi[/tex]

Where m, n, p, and q are real numbers.

And we want to determine the relationship among m, n, p, and q such that the product of the two complex numbers will only have an imaginary part.

Find the product:

[tex]\displaystyle \begin{aligned} (m+ni)(p+qi) &= p(m+ni) + qi(m+ni) \\ &= (pm + pni) + (qmi + qni^2) \\ &= (pm + pni) + (qmi - qn) \\ &= (pm - qn) + i(pn + qm) \end{aligned}[/tex]

Therefore, for the product to have only an imaginary part, the real part must be zero and the imaginary part must not be zero. That is:

[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]

In conclusion, the relationship between m, n, p, and q is:

[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]

Or:

[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]

(Note: I couldn't understand the provided answer choices, but the above answer is indeed correct (and the second equation can be ignored).)

Answer:

A) 3 tacos + 2 sodas = 8.70

B) 2 tacos + 4 sodas = 9.80

Multiplying equation A) by -2

A) -6 tacos -4 sodas = -17.40

Then adding in equation B)

B) 2 tacos + 4 sodas = 9.80 results in

-4 tacos = -7.60

tacos cost 1.90 each

sodas cost 1.50 each

Step-by-step explanation:

Answer: i may be wrong but is it 4?

Answer:

9[tex]\frac{75}{84}[/tex]

get a common denominator between 6,12,7,2 = 84

Step-by-step explanation:

[tex]$x$: $x = \frac{x}{6} + \frac{x}{12} + \frac{x}{7} + 5 + \frac{x}{2} + 4$[/tex]

The solution is x = 84

The value of the equation is A = 84

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x = ( x/6 ) + ( x/12 ) + ( x/7 ) + 5 + ( x/2 ) + 4   be equation (1)

On simplifying the equation , we get

x = [ ( x/6 ) + ( x/12 ) + ( x/7 ) + ( x/2 ) ] + 9

Now , on further simplification , we get

x = [ ( x/7 ) + ( x/2 ) ] + [ ( 2x + x ) / 12 ] + 9

x = ( 3x/12 ) + [ ( 2x + 7x ) / 14 ] + 9

x = ( 3x/12 ) + ( 9x/14 ) + 9

On simplifying the equation , we get

x = ( x/4 ) + ( 9x/14 ) + 9

x = [ ( 14x + 36x ) / 56 ] + 9

x = ( 50x / 56 ) + 9

Subtracting ( 50x/56 ) on both sides of the equation , we get

9 = x - ( 50x/56 )

9 = ( 56x - 50x ) / 56

6x/56 = 9

Multiply by 56 on both sides of the equation , we get

6x = 504

Divide by 6 on both sides of the equation , we get

x = 504/6

x = 84

Therefore , the value of x is 84

Hence , the equation is A = 84

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

[tex]7^2=7\cdot7=49\\\\8^2=8\cdot8=64\\\\\sqrt{49}<\sqrt{52}<\sqrt{64}\\\\\text{Answer}:52[/tex]

Answer:

Its 52

Step-by-step explanation:

the square root of 52 is 7.2

Answer:

180 feet

Step-by-step explanation:

|-60+120| is 180

Answer:

is it 180 feet apart if it is then here is the steps

Step-by-step explanation:

120+60 = 180

please mark as brainiest

Answer:

B is the answerrrrrrrrrr

Answer:

B

Step-by-step explanation:

The y-intercept is at -3 and the slope which is 2/4 simplified to 1/2x is going in a positive direction

Answer:

sorry but this photo is not clear

Answer:

blur photo cannot answered

Answer:

<SDQ

Step-by-step explanation:

Eg if a = b, b = c, then a = c

Answer:

[tex]x_{1} =\frac{-17- \sqrt{129}}{2}, x_{2} =\frac{-17+ \sqrt{129}}{2} [/tex]

Step-by-step explanation:

[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} = \frac{5}{2} [/tex]

[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} = \frac{5}{2} [/tex]

[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} - \frac{5}{2} = 0[/tex]

[tex] \frac{2(x + 2 {)}^{2} + 2(x + 3) \times (x - 3) - 5(x + 3) \times (x + 2) }{2(x + 3) \times (x + 2)} = 0[/tex]

[tex] \frac{2(x + 2 {)}^{2} + 2( {x}^{2} - 9) + ( - 15x - 15) \times (x + 2) }{2(x + 3) \times (x + 2)} = 0 [/tex]

[tex] \frac{2( {x}^{2} + 4x + 4) - 3 {x}^{2} - 48 - 25x}{2(x + 3) \times (x + 2)} = 0[/tex]

[tex] \frac{2 {x}^{2} + 8x + 8 - 3 {x}^{2} - 48 - 25x }{2(x + 3) \times (x + 2)} = 0[/tex]

[tex] \frac{ - {x}^{2} - 17x - 40 }{2(x + 3) \times (x + 2)} = 0[/tex]

[tex] {x}^{2} + 17x + 40 = 0[/tex]

[tex]x = \frac{ - 17± \sqrt{ {17}^{2} - 4 \times 1 \times 40 } }{2 \times 1} [/tex]

[tex]x = \frac{ - 17± \sqrt{289 - 160} }{2} [/tex]

[tex]x = \frac{ - 17± \sqrt{129} }{2} [/tex]

[tex]x_{1} =\frac{-17- \sqrt{129}}{2}, x_{2} =\frac{-17+ \sqrt{129}}{2} [/tex]

Answer:

25 and 20 milies/gallons

Step-by-step explanation:

Let the fuell efficientcy of the first and the second car be f and s in gallons/miles.

Then the distance traveled by car 1 is 30 f and the car 2 is 25 s.

Since we also know that 1250 is the total distance traveled then

30 f + 25 s = 1250    (1)

Moreover we know that the efficiency is 45 miles/gallon. Hence

f + s  = 45

Multiply by 30 we have

30 f  + 30 s = 1350   (2)

Subtract the (1) equation from (2) we have

5s = 100

s = 20

f + 20 =45

f = 25

So the efficiency of the first car is 25 miles/gallons while the second one is 20 miles/gallons.

[tex]-3=x+12\\\\x+12=-3\\\\x=-3-12\\\\\huge\boxed{x=-15}[/tex]

Answer:

y = -9

x = -8

Step-by-step explanation:

x = 28 + 4y

7y - 6(28 + 4y) = -15

7y - 168 - 24y = - 15 ---> *distribute the -6, not positive 6*

-17y = 153

y = -9

x = 28 + 4(-9)

x = -8

a.-40

b.--280

c.54

d.30

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

15+(-18)

15-18

NB: Negative plus positive is negative

-3

Therefore, the answer is -3.

[tex]3x=-39\\\\x=-39:3\\\\\huge\boxed{x=-13}[/tex]

Hello :D

To work this out you need to do:

36 + 42 = 78

$328.38/78 = $4.21

Sully earns $4.21 per door handle.

Answer:

The angle in the upper right quadrilateral corner = 68 degrees because vertical angles are equal.

Angle Y = 68 (opposite quadrilateral angles are equal).

All quadrilateral angles add to 360 so:

68 + 68 + x + z = 360 = 292

angle X + Z = 292

Therefore angle x = angle z = 146

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle Z = 68 degree (being alternate angles)

angle X = 68 degree (opposite angle of a parallelogram is equal)

y + z = 180 degree (sum of adjecent angles of a parallelogram is 180 degree)

y + 68 = 180

y = 180 - 68

y = 112 degree

Answer:

y=2x-3

Step-by-step explanation:

2x=y+3

2x-3=y