Luisa's restaurant bill comes to $85.50, and she leaves a 18% tip. What is Luisa's total
restaurant bill?

Answer:

$63.92

Step-by-step explanation:

Answer:

The value of f(g(-2)) is 12.

Step-by-step explanation:

We'll start by solving g(-2):

[tex]g(-2)\\= (-2)^2 + 2\\= 4 + 2\\= 6[/tex]

Now we can take that value and plug it into function f:

[tex]f(6)\\= \frac{-1}{2}6^2 + 5 * 6\\= -36/2 + 30\\= -18 + 30\\= 12[/tex]

Alternatively, you can work out a new single function that in itself describes f(g())

[tex]f(g(x)) = -\frac{1}{2}g(x)^2 + 5g(x)\\= -\frac{1}{2}(x^2 + 2)^2 + 5(x^2 + 2)\\= -\frac{1}{2}(x^4 + 4x^2 + 4) + 5x^2 + 10\\= -\frac{1}{2}x^4 - 2x^2 - 2 + 5x^2 + 10\\= -\frac{x^4}{2} + 3x^2 + 8[/tex]

and try plugging -2 into the new function

[tex]= - \frac{-2^4}{2} + 3(-2)^2 + 8\\= -16 / 2 + 3 * 4 + 8\\= -8 + 12 + 8\\= 12[/tex]

The value of f(g(-2)) for the given expression will be 12.

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

f(x) = [tex]\frac{-1}{2} x^2[/tex]  + 5x

And,

g(x) = x² + 2

Now,

For, x = -2,

i.e.

g(x) = x² + 2

Now,

Substituting the value of x = -2,

g(-2) = (-2)² + 2

On solving,

We get,

g(-2) =  6

Now,

For, f(g(-2)),

f(x) = [tex]\frac{-1}{2} x^2[/tex]  + 5x

i.e.

Substituting the value of g(-2) =  6,

i.e.

f(g(-2)) = [tex]\frac{-1}{2} (g(-2)^2)[/tex] + 5(g(-2))

i.e.

f(g(-2)) = [tex]\frac{-1}{2} *6^2[/tex]  + 5 * 6

On solving,

We get,

f(g(-2)) = -18 + 30

i.e.

f(g(-2)) = 12

So, the value of f(g(-2)) for the given expression is 12.

Hence, we can say that the value of f(g(-2)) for the given expression will be 12.

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Answer: 1.35

Step-by-step explanation:

if:

6 oranges cost............................0.90 dollars

9 oranges will cost....................................?

(9*0.90)/6=1.35 dollars

Answer:

I would assume the 8-pack to be the answer because:

Step-by-step explanation:

8 ÷ 7.92 = 1.01

12 ÷ 11.64 = 1.03

1.01 < 1.03

Answer:

I believe the better buy is the twelve pack.

Step-by-step explanation:

If you look, 7.92 is closer to 8, which almost makes it 1 dollar per soda, where the 11.64 is farther from twelve. :) i hope this helps you!

Answer:

noob

Step-by-step explanation:

lol imagine not knowing, u noob

Answer:

9

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

6x+12 = 9x-3

3x = 15

x= 5

Answer:

∠ XWZ is a right angle.

Step-by-step explanation:

See the given diagram.

In triangle WXZ, WY is an altitude.

So, ∠ WYZ = ∠ XYW = 90°

Now, given that ∠ ZWY = ∠ WXY.

Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° ....... (1)

⇒  ∠ ZWY + ∠ YWX =  90° {Since, ∠ ZWY = ∠ WXY}

⇒ ∠ XWZ = 90°

Therefore, the angle XWZ is right angle. (Answer)

Answer:

B. XWZ is a right angle

Step-by-step explanation:

edge 2020 plz vote brainliest

Answer:

b

Step-by-step explanation:

Answer:

para lara

Step-by-step explanation:

pere culu ana lletere

Answer:

,,,,,

Step-by-step explanation:

Answer:

there is a website called desmos and you can type all of that in and it can graph it, hope that helps(: and its free

Answer:

The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].

The expression of the axis of symmetry is [tex]x = 3[/tex].

The y-intercept of the function is -26.

Step-by-step explanation:

The vertex form of the second order polynomial is defined by the following expression:

[tex]y-k = C\cdot (x-h)^{2}[/tex]  (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]h,k[/tex] - Coordinates of the vertex, dimensionless.

[tex]C[/tex] - Vertex constant, dimensionless.

Let [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex], then we proceed to present the produre for the determination of the vertex form:

1) [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex] Given

2) [tex]y = (-1)\cdot (2\cdot x^{2})+(-1)\cdot (-12\cdot x) + (-1)\cdot (26)[/tex] [tex](-a)\cdot (-b) = a\cdot b[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]

3) [tex]y = (-1)\cdot (2\cdot x^{2}-12\cdot x +26)[/tex] Distributive property

4) [tex]y = [(-1)\cdot (2)]\cdot (x^{2}-6\cdot x +13)[/tex] Associative and distributive properties

5) [tex]y = (-2)\cdot [(x^{2}-6\cdot x+9)+4][/tex] [tex](-a)\cdot b = -a\cdot b[/tex]

6) [tex]y = (-2) \cdot [(x-3)^{2}+4][/tex] Perfect square trinomial

7) [tex]y = (-2)\cdot (x-3)^{2}+4\cdot (-2)[/tex] Distributive property

8) [tex]y = (-2)\cdot (x-3)^{2}+(-8)[/tex] [tex](-a)\cdot b = -a\cdot b[/tex]

9) [tex]y +8= (-2)\cdot (x-3)^{2}[/tex] Compatibility of addition/Existence of the additive inverse/Modulative property/Result.

The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].

The axis of symmetry is a line perpendicular to axis in which the square component of the vertex form is set. The expression of the axis of symmetry is [tex]x = 3[/tex].

The y-intercept is the value of the polynomial when [tex]x = 0[/tex], then, the value is:

[tex]y = -2\cdot (0)^{2}+12\cdot (0) -26[/tex]

[tex]y = -26[/tex]

The y-intercept of the function is -26.

Answer:

B. False

Step-by-step explanation:

A moderate positive correlation, e.g. r = 0.5 or 0.6, shows that there is some relationship between driving faster and accidents that result in more severe injuries. But that relationship is not very strong or solid and can result from other variables being involved or simply randomness. You cannot affirm that X causes Y if the correlation is not strong.

Answer:

a) The angular velocity is 0.4π radians/second ⇒1.25664 radians/second

b) The wheel travels 124.4071 meters in 5 minutes ⇒ 39.6π meters

Step-by-step explanation:

The angular velocity ω = 2 π n ÷ t, where

The distance that moving by the angular velocity is d =  ω r t, where

a)

∵ A wheel completes 12 revolutions in 1 minute

∴ n = 12

∴ t = 1 minute

→ Change the minute to seconds

∵ 1 minute = 60 seconds

∴ t = 60 seconds

→ Substitute n and t in the rule above

∵ ω = 2 (π) (12) ÷ 60

∴ ω = 24π ÷ 60

∴ ω = 0.4π radians/second

∴ The angular velocity is 0.4π radians/second ⇒1.25664 radians/second

b)

→ To find the distance in 5 minutes multiply ω by the radius by the time

∵ The wheel has a radius of 33 cm

∴ r = 33 cm

→ Change it to meter

∵ 1 m = 100 cm

∴ r = 33 ÷ 100 = 0.33 m

∵ t = 5 minutes

→ Change it to seconds

∴ t = 5 × 60 = 300 seconds

→ Substitute them in the rule of the distance above

∵ d = 0.4π (0.33) (300)

∴ d = 39.6π meters ⇒ 124.407 meters

∴ The wheel travels 124.4071 meters in 5 minutes ⇒ 39.6π meters

Answer:

20 problems

Step-by-step explanation:

Okay, so 100/15 is 6 2/3. That means we need to multiply 3 by 6 2/3. When we do this, we get 60/3, which we can simplify to 20. That means there are 20 problems on the test. I hope this helps!

Answer:

29/4

Step-by-step explanation:

4x=29

x=29/4

The value of x and the solution of the equation is 7.25.

An equation is a statement that is formed when two algebraic expressions are equated by an equal sign.

The solution of 4x+5 = 34 is

4x = 34-5

4x = 29

x = 29/4

x = 7.25

The value of x and the solution of the equation is 7.25.

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Answer:

C I think

Step-by-step explanation:

By substitution, we will see that the solution of the system is:

x = 13, y = 11, z = -1

The correct option is D.

Here we have a system of 3 equations:

x + y + 8z = 16

2x + 7z = 19

4x - 4y + 4z = 4

I will solve it by substitution, first, let's simplify the equations. Here we can divide the third equation by 4 so we remove all the common factors, then the system becomes:

x + y + 8z = 16

2x + 7z = 19

x - y + z = 1

Now, I will isolate x on the second equation:

x = (19 - 7z)/2 = (19/2) - (7/2)*z = 9.5 - 3.5*z

Now we can replace that on the other two equations:

(9.5 - 3.5*z) + y + 8z = 16

(9.5 - 3.5*z) - y + z = 1

Rewriting the system we get:

y + 4.5z = 6.5

-y - 2.5z = -8.5

Now we can isolate y on the first equation:

y = 6.5 - 4.5z

Replacing that on the other equation we get:

-(  6.5 - 4.5z) - 2.5z = -8.5

-6.5 + 4.5z - 2.5z = -8.5

2z = -8.5 + 6.5 = -2

z = -2/2 = -1

Then the value of y is:

y = 6.5 - 4.5z = 6.5 - 4.5*(-1) = 11

And the value of x is:

x = 9.5 - 3.5*z = 9.5 - 3.5*(-1) = 13

So the solution of the system is:

x = 13, y = 11, z = -1

The correct option is D.

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Answer:

C

Step-by-step explanation: