Evaluate the equation y=2x2 - 2x + 7 for x=-3

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.

Step-by-step explanation:

The statement is equivalent to the following mathematic expression:

[tex]\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6}[/tex] (1)

By definition of the perfect square trinomial:

[tex]25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}[/tex]

[tex]33 + 20\sqrt{2} = a + b\cdot \sqrt{6}[/tex]

And by direct comparison we have the following system:

[tex]a = 33[/tex] (2)

[tex]b\cdot \sqrt{6} = 20\sqrt{2}[/tex] (3)

By (3), we solve for [tex]b[/tex]:

[tex]b = \frac{20}{\sqrt{3}}[/tex]

[tex]b = \frac{20\sqrt{3}}{3}[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.

Answer:

1-

2X + 3Y = 330

2-

X + Y + Z = 3890

3-

1/3X + 2/3X = X

4-

X + Y = 27

Step-by-step explanation:

Para plantear ecuaciones para las siguientes situaciones se deben realizar los siguientes razonamientos lógicos:

1- Juan compró 2 panchos y 3 hamburguesas y le cobraron $330.

Panchos = X

Hamburguesas = Y

2X + 3Y = 330

2- Realizo un pago de la factura de luz, agua y cable en total me cobran $3890.

Luz = X

Agua = Y

Cable = Z

X + Y + Z = 3890

3- Un padre reparte un dinero X que recibió entre su esposa y su hijo, a su esposa le da el doble que al hijo.

Esposa = 2/3X

Hijo = 1/3X

1/3X + 2/3X = X

4- En el salón de clase hay 27 alumnos entre mujeres y varones.

Mujeres = X

Varones = Y

X + Y = 27

Answer:

5/9

Step-by-step explanation:

If a variable y is directly proportional to x, then;

y = kx where;

k is the constant of proportionality

Given the expression y = 5/9 x

On comparing with the general formula;

kx = 5/9 x

k = 5/9

Hence the constant of proportionality of the expression is 5/9

Answer:

5/9

Step-by-step explanation:

i tried it on khan and its right trust me

Answer:

11 times

Step-by-step explanation:

Given

[tex]Jim = 2 * Jack[/tex]

[tex]John = 4 + Joe[/tex]

[tex]John = Jim - 3[/tex]

[tex]Joe = 15[/tex]

Required

Find [tex]Jack[/tex]

Substitute [tex]Joe = 15[/tex] in [tex]John = 4 + Joe[/tex]

[tex]John = 4 + 15[/tex]

[tex]John = 19[/tex]

Substitute [tex]John = 19[/tex] in [tex]John = Jim - 3[/tex]

[tex]19 = Jim - 3[/tex]

Collect like terms

[tex]Jim = 19 +3[/tex]

[tex]Jim = 22[/tex]

Substitute [tex]Jim = 22[/tex] in [tex]Jim = 2 * Jack[/tex]

[tex]22 = 2 * Jack[/tex]

Divide both sides by 2

[tex]Jack = \frac{22}{2}[/tex]

[tex]Jack = 11[/tex]

Answer:

Gradient = -5

Step-by-step explanation:

The gradient of a line is the slope of the line.

The standard form of the line equation is y = mx  + b

where m is the slope ( or gradient) b is the y - intercept.

Given :

2y = -10x + 1

[tex]y = -\frac{10}{2} x + \frac{1}{2}\\\\y = -5x + \frac{1}{2}\\\\Therefore , \ gradient \ is \ -5[/tex]

The gradient of the line whose equation is 2y=-10x+1 is -5.

Gradient could be a measure of how steep a slope or a line is.

The equation of the road is 2y=-10x+1

y=-5x+1/2

Therefore the gradient of the line is that the coefficient of x which is -5.

Hence the gradient of the line is -5.

Learn more about gradient at https://brainly.com/question/23016580

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Answer:

Step-by-step explanation:

Angles on a straight line add up to 180 so 180-135 equals 45. Vertically opposite angles are equal so the second angle inside the triangle equals 100. Henceforth, we can solve this equation:

x +45+100 = 180 (angles in triangle add up to 180)

x+145=180

x=35

Vertically opposite angles are equal so x will become 35.

Hope this helps!

Answer:

[tex] = > 2k + 1 \\ when \: k = 0 \\ 2(0) + 1 \\ = 1 \\ \therefore \: zero \: is \: odd \\ \\ = > 2k \\ when \: k = 0 \\ 2(0) \\ = 0 \\ \therefore \: zero \: is \: not \: even \: because \: when \: divided \: by \: 2 \: \: remainder \: is \: zero[/tex]

Answer:

2

Step-by-step explanation:

Answer:

$1,976.25

Step-by-step explanation:

Since one square foot cost $ 7.50 we simply multiply that by 263.5.

263.5 × 7.50= $1,976.25

Answer: 70 degrees 35 times 2

Answer:

option A

Step-by-step explanation:

y = k . f( x )

• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.

• if 0 < k < 1 (a fraction), the graph is f (x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.

• if k < 0, the vertical stretch or shrink is followed by a reflection across the x-axis.

Given g(x ) = - |x |

                = -1 × f(x)

k < 0 , therefore the graph g (x) is a vertical shrink ( or compression ) of graph f

Answer:

x = [tex]\frac{-1 ±\sqrt{5} }{2}[/tex]

Step-by-step explanation:

Ignore the A that doesn't belong in the answer

Answer:

unbiased

Step-by-step explanation:

it would be biased if you lets say survey the history club kids

Answer:

[tex]27a^{3} +27a^{2}b+9ab+b^{3}[/tex]

Step-by-step explanation:

[tex](3a+b)(3a+b) = 9a^{2}+6ab+b^{2}\\(9a^{2}+6ab+b^{2})(3a+b) = 27a^{3} + 27a^{2}b +9ab^{2} +b^{3}[/tex]

Answer:

Step-by-step explanation:

9a^3+18a^2b+9ab^2+b^2

the first, (f+g)(x) is f(x) + g(x)

calculating it like:

x² + 7x + (8 -x²)

= x² + 7x + 8 -x²

= 7x + 8

you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.

edit1: the domain is the range of possibilities wich x we can plug into the new equation

Answer:

x=2

Step-by-step explanation:

The x is known which means that it is the one that is parallel to the y axis.

Answer:

x = 2

Step-by-step explanation:

The y axis is a vertical line

x = 2 would create a vertical line making it parallel with the y axis

Answer:

x =  [tex]\sqrt{14}[/tex]

Step-by-step explanation:

[tex]\sqrt{7}[/tex] / sin(45) = x / sin(90)  (Cause its a square, the edges are 90 degrees)

[tex]\sqrt{14}[/tex] = x / 1

x = [tex]\sqrt{14}[/tex]

Answer:

There is a 50% chance of getting a odd number.

Step-by-step explanation:

1-10 have 5 old numbers and they are 1, 3, 5, 7, and 9.

5/10 = 0.5 = 50%

5 out of 10

Answer:

x = 71.5 in

Step-by-step explanation:

Remember the SOHCAHTOA rule

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case, we use: CAH.

cos(52) = 44/x

x = 44/cos(52)

x = 71.5 inches

Answer:

a)

The discount id 40%, so the function is:

b)

The graph is attached

c)

Sale price is:

Answer:

please give me some thanks please good morning

Answer:

d. if graphed, the ordered pairs would form a straight line.

Answer:

-8

Step-by-step explanation:

well since the equation has the same base of 11, you can just solve for x as you normally would. so the question becomes:

4x+1 = 3x -7

subtract one from both sides

4x = 3x - 8

subtract 3x from both sides

x = - 8

Answer:

x=  -8

Step-by-step explanation:

Answer:

[tex]1\text{ inch}=\frac{1}{9}\text{ foot}[/tex]

Step-by-step explanation:

To get a scale of inches to feet, divide both 54 and 6 by 54:

[tex]54\:\text{inches}=6\:\text{feet},\\\implies 1\:\text{inch}=\frac{6}{54}\:\text{ft}\implies \boxed{1\:\text{inch}=\frac{1}{9}\:\text{foot}}[/tex]

Answer:16500

Step-by-step explanation:

That is, for every 100 people, there are 26 people aged between 11 and 20. So 63500 will have 16500 people aged 20.

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

u just gave that are we meant to solve it is there anything to substitute into it what are we actually meant to do?

Step-by-step explanation:

Answer:

D. 125%

Step-by-step explanation:

First day = 80 responses

Second day = 180 responses

Increase in responses = 180 - 80

= 100 responses

what percent is the increase 100 of the original number of responses 80

= Increase in responses / original number of responses × 100

= 100/80 × 100

= 1.25 × 100

= 125%

The percent increase 100 of the original number of responses 80 = 125%

Answer:

3 = 20

5 = 20

8= 160

Step-by-step explanation:

angle 2 and 3 are on the same line, so 180 - 160 is 20 degrees

rule of alternate interior angles: angle 5 is equal to 3

rule of alternate exterior angles: angle 8 is equal to 2