Which function should be used when evaluating the function at x = -1?
S -x2 + 8x if x < -1
p(x) =
*x? - 4 if x 2-1
O p (x) = {x? - 4
O p(x) = -x2 + 8x

Answer:

4√10

Step-by-step explanation:

Hello!

Let's first simplify the radical.

We can do this by expanding the radical:

We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.

Let's work with √45:

Now we can simplify the operation in the parenthesis by combining like terms:

Now using the same rule as above, we can multiply the values:

Your solution is 4√10

#3

Did solve that in one of your question

#4

Total spent

Answer:

4

Step-by-step explanation:

3x = 5:

x = 1 ⅔

5x + 7 = 3

5x = 3- 7

5x = -4

x = -⅘

4x = 9x

9x - 4x = 0

5x = 0

x = 0 / 5

x = 0

x = x - 2:

x -x = -2

0 = -2?

Answer:

4

Step-by-step explanation:

Its because x=x-2 =-2 subtract x from both sides and you get 0 so theres no solution and you get -2

Answer:

correct answer here

Step-by-step explanation:

Answer:

It's cubic because volume occupies a three dimensional space. Area is measured in a second unit of length

Step-by-step explanation:

Answer:

Volume is 3 dimensions

Step-by-step explanation:

Cubed is 3 dimensions: length, width, and height - like measuring how much water will fit in a cup. Squared is only 2 dimensions - like when you measure a piece of paper or a floor tile or a piece of fabric.

Answer:

The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2

Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + [tex]\sqrt{h^{2}+r^(2) }[/tex])
(r: radius, h: height, πr^2 is the area of the base of the cone, πr[tex]\sqrt{h^{2}+r^(2) }[/tex] is the lateral area of the cone). So:

A = [tex]15\pi (15 + \sqrt{30^{2} +15^{2} } )[/tex] ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

A[tex]L[/tex]=[tex]15\pi \sqrt{30^{2} +15^{2} }[/tex] ≈ 1580.58 ft^2.

Answer: around 6 or 5 o clock

Step-by-step explanation: hope this helps

Answer:

P(F) = 0.26

Step-by-step explanation:

Given:

Using formula:   P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(E ∪ F) = P(E) + P(F) - P(E ∩ F)

⇒ 0.69 = 0.49 + P(F) - 0.06

⇒ 0.69 = 0.43 + P(F)

⇒ P(F) = 0.69 - 0.43

⇒ P(F) = 0.26

Try this option, all the details are in the attachment. Note the equation a) is performed with green, the equation b) with red line.

With break green line is the cureve y= -x²; with break red line is y=2x².

Answer: 24%

Step-by-step explanation:

for these problems you can use this equation: [tex]\frac{x}{n} *100=p[/tex]

where x=given quantity, n=total amount, and p is your answer.

for this problem x=18 (regular sodas)

we add the amount of regular and diet sodas to get n=75 (18+57)

when we plug it in we have [tex]\frac{18}{75} *100[/tex] which gives us our answer, p, 24%

hope this helped ♡

Answer:

Step-by-step explanation:

1. Change all the units to be the same. 1yd= 3 feet so 2yd x 3ft =6ft

new Dimensions 4x8 and 3x8

2.  View images

Answer:

g(40 or more)

Step-by-step explanation:

30 represents the median or the 50% mark so it cant be this

60 represents the highest amount of minutes. so this is unlikly

40  represents the hqr or the median between 30 and the max. this means that you now have 50% of 50% or 25%

Answer:

4.2 or 21/5

Step-by-step explanation:

i used demos

Answer:

4 1/5

[tex]\frac{14 * 9}{3 * 10} = \frac{126}{30}~which~is~also~4\frac{1}{5}[/tex]

Answer:

C) √ 148

Step-by-step explanation:

Answer:

its 60, need proof?

Step-by-step explanation:

Answer: 60

Step-by-step explanation: I took the test and got it right. Goodluck with the rest!

Answer:

12

Step-by-step explanation:

Answer:

p²=h²-b²

p² =10²-6²

p² =100-36

p²=64

p=( √8)²

p=8

Let [tex]x[/tex] and [tex]y[/tex] be the length and height, respectively, of the rectangle.

Let the bottom left vertex be the origin (0, 0), and position the triangle so that the bottom leg lies on the horizontal axis in the [tex]x,y[/tex]-plane. The hypotenuse of the triangle then lies on the line through (0, 0) and (6, 8), with slope 8/6 = 4/3. Then for some [tex]x[/tex] between 0 and 6, we have [tex]y = \frac43x[/tex].

This means for some fixed distance [tex]x[/tex] from the origin, the rectangle has length [tex]6-x[/tex] and height [tex]\frac43x[/tex]. Thus the area of the rectangle can be expressed completely in terms of [tex]x[/tex] as

[tex]A(x) = (6-x) \times \dfrac43x = 8x - \dfrac43 x^2[/tex]

Non-calculus method:

Complete the square to get

[tex]8x - \dfrac43 x^2 = -\dfrac43 (-6x + x^2) = 12 - \dfrac43 (9 - 6x + x^2) = 12 - \dfrac43 (x-3)^2[/tex]

which is maximized when the quadratic term vanishes at [tex]x=3[/tex], giving a maximum volume of [tex]\boxed{12\,\mathrm{in}^2}[/tex].

Calculus method:

Differentiate [tex]A(x)[/tex] and find the critical points.

[tex]A'(x) = 8 - \dfrac83 x = 0 \implies x = 3[/tex]

Differentiate again to check the sign of the second derivative at the critical point.

[tex]A''(x) = -\dfrac83 \implies A''(3) = -\dfrac83 < 0[/tex]

which indicates a local maximum at [tex]x=3[/tex]. Hence the maximum area is [tex]A(3) = 12[/tex], as before.

Answer:

Step-by-step explanation:

To get good at math is to pay attention to the formulas and quiz yourself with what ever your learning over and over until you get it.

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

Hope that helps ~~~

Answer:

7kg  275g

Step-by-step explanation:

hope this helps

Answer:

7kg 275g

Step-by-step explanation:

Add all of them together and then add what's left. Hope this helps! :)

Answer:

Option D

Step-by-step explanation:

If the bases are the same in a multiplication problem, then you can simply add the exponents. (i.e., a² × a⁶ = a²⁺⁶ = a⁸)

[tex]\bullet \rightarrow 5^4\times5^7[/tex]

[tex]\bullet\rightarrow 5^{4 + 7}[/tex]

[tex]\bullet \rightarrow \boxed{5^{11}}[/tex]

Answer: D

Step-by-step explanation:

5^4 x 5^7

You will add the exponent 4 + 7 = 11

You will keep your base 5^11

Answer:

y = -3x +15

Step-by-step explanation:

(2,9) (4,3)

slope is -6/2 or -3

use slope intercept form to solve for y-intercept

y = mx + b

9 = (-3)(2) + b

9 = -6 + b

15 = b

y = -3x + 15

Answer:

About 30 miles per gallon of gas

Step by step:

First you subtract 23,742 - 23,450

and then you divide it by 9.87 and then you round

Answer:

|PR|

Step-by-step explanation:

The smallest side is the side that sees the angle with the smallest measure:

If we were to draw a triangle with the given information we can see that the side length with the smallest value is the one that sees angle Q, |PR|

Answer:

East

Step-by-step explanation:

Arkansas is East of Oklahoma.

Refer to the image below:

Answer: East

Step-by-step explanation:

Answer:

It states they ran the same speed in the first race so that means only the distance they ran would be different. Thus that means Brady only ran 95 meters instead of 100 meters. If Brady was put 5 meters back that means it will be a tie if they ran at the same speed the entire race.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

It would be a tie. Brady is 5 meters faster then Quinn. So if Brady were to stay behind 5 meters and they ran the same speed as they did before, then it would be a tie.

Answer:

there are 36 part time employees and there are 144 full time employees

Step-by-step explanation: multiply 45 by 4

then multiply 180 by 0.2 to get 36 and 180 by 0.8 and get 144

[tex]\text{Let it be x percent}\\ \\\dfrac 14 \times x\% = \dfrac 15\\\\\\\implies\dfrac 14 \times \dfrac x{100} = \dfrac 15\\ \\\\\implies x = \dfrac{400}{5} = 80\\\\\\\text{Hence the answer is}~ 80\%[/tex]

Answer:

$69.60

Step-by-step explanation: