Given the function f, find
f(−3), f(3), f(−a), −f(a), f(a + h).
f(x) = 2x − 7
f(−3) =

f(3) =

f(−a) =

−f(a) =

f(a + h) =

Answer:

i think it is 62.5

Step-by-step explanation:

Answer:

0.016

Step-by-step explanation:

Answer:

y=7

Step-by-step explanation:

Answer:

y=9

hope this will help u

Answer:

(x+x)^2=4-x

Step-by-step explanation:

I think, don't be mad if I'm wrong!

Answer:

9 quarters

Step-by-step explanation:

in 2, there are 8 quarters, plus one more quarter

Answer:

The conference will be over at 2:15 pm.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

brackets first according to bodmas

Answer:

C

Step-by-step explanation:

It is not A, that implies that there is no parenthesis needed. Same goes for D.

It is not B, (5x +2)-3

"Three less than" implies that 3 will be subtracted in the end of the equation.

B and C may get mixed up: C includes the phrase "the quantity" which implies the number (x) and two are added before being multiplied by 5.

Answer:

70% Winning Rate

Step-by-step explanation:

[Shown in image]

Answer:

70%

Step-by-step explanation:

the answer is in the question

look closer next time bro/sis

Answer:

0.71

Step-by-step explanation:

please mark me brainliest please

Answer:

71%

Step-by-step explanation:

Simplify your fraction.

15/21 can turn into 5/7 when divided by 3.

Second, you'll divide 5/7.

You'll get a decimal like 0.71428 and so on, but you can just use the first 2 numbers.

71%

Answer:

The Eastern Coachwhip is the longest of the listed snakes.

Step-by-step explanation:

Answer:

Method

Consider&#xA0;&#x2211;n=0&#x221E;xn=11&#x2212;x,&#xA0;where&#xA0;|x|&lt;1." role="presentation" style="display: inline-table; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">Consider ∑n=0∞xn=11−x, where |x|<1.Consider ∑n=0∞xn=11−x, where |x|<1.

Then differentiating both sides w.r.t. x, we have

&#x2211;n=1&#x221E;nxn&#x2212;1=1(1&#x2212;x)2" role="presentation" style="display: table-cell !important; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; width: 10000em !important; position: relative;">∑n=1∞nxn−1=1(1−x)2∑n=1∞nxn−1=1(1−x)2

Putting x=12" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">x=12x=12 gives

&#x2211;n=1&#x221E;n2n&#x2212;1=1(1&#x2212;12)2=4" role="presentation" style="display: table-cell !important; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; width: 10000em !important; position: relative;">∑n=1∞n2n−1=1(1−12)2=4∑n=1∞n2n−1=1(1−12)2=4

12&#x2211;n=1&#x221E;n2n&#x2212;1=2" role="presentation" style="display: table-cell !important; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; width: 10000em !important; position: relative;">12∑n=1∞n2n−1=212∑n=1∞n2n−1=2

&#x2211;n=1&#x221E;n2n=2" role="presentation" style="display: table-cell !important; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; width: 10000em !important; position: relative;">

Answer:

[tex]\displaystyle \frac{4}{3}[/tex].

Step-by-step explanation:

Start by finding the intersection of the two curves:

[tex]\left\lbrace\begin{aligned}& y = \frac{x}{2} \\ & y = \sqrt{x} \\ & x \ge 0 \\ \end{aligned}\right.[/tex].

[tex]\displaystyle \frac{x}{2} = \sqrt{x}[/tex] while [tex]x \ge 0[/tex].

[tex]\displaystyle \frac{x^{2}}{4} - x = 0[/tex].

[tex]x = 0[/tex] or [tex]x = 4[/tex].

Therefore, these two curves would intersect at two points: [tex](0,\, 0)[/tex] and [tex](4,\, 2)[/tex].

The area bounded between [tex]\displaystyle y = \frac{x}{2}[/tex] and [tex]y = \sqrt{x}[/tex] would be between [tex]x = 0[/tex] and [tex]x = 4[/tex].

Refer to the diagram attached. The graph [tex]y = \sqrt{x}[/tex] is always above the graph of [tex]\displaystyle y = \frac{x}{2}[/tex] over the entire bounded area (except for the two intersections).

Therefore, [tex]\displaystyle \left(\sqrt{x} - \frac{x}{2}\right)[/tex] would represent the vertical distance between the upper and lower curve for any given [tex]x[/tex] over this bounded area (where [tex]0 \le x \le 4[/tex].)

Integrating height over the horizontal variable [tex]x[/tex] over some closed interval would give area. Likewise, the area between the two curves in this question could be found with the following integral:

[tex]\begin{aligned}& \int\limits_{0}^{4} \left(\sqrt{x} - \frac{x}{2}\right)\, dx \\ = \; & \int\limits_{0}^{4} \left(x^{1/2} - \frac{x}{2}\right)\, dx \\ =\; & \left[\frac{2}{3}\, x^{3/2} - \frac{x^{2}}{4}\right]_{x=0}^{x=4} \\ =\; & \frac{2\times 8}{3} - 4 \\ =\; &\frac{4}{3} \end{aligned}[/tex].

Answer:

22.9 ft

Step-by-step explanation:

the height of the wall that reached by the ladder = √ (25²-10²)

=√(625-100)

=√525

= 22.9 ft

Answer:

Mean = 58.18

Median = 60

Modes = 55 and 60

Step-by-step explanation:

To find the mean/average, add up all the numbers and divide the sum by the # of numbers there are (ex. there are 11 numbers so divide the sum by 11).

The median is the middle number of a set.  In this case, the middle number is easy to see because the # of numbers is odd, but if it was even, just find the average of the two middle numbers.

The mode is/are the most frequent number(s) in the set.  In this set, the numbers that appear the most are 55 and 60.

Other answer formats are possible.

===========================================================

Explanation:

Let's say we want to solve the equation h = 54 + 10a for the variable 'a'. This is relevant to the problem at hand don't worry.

What we'd do is two things

So the steps look like this

h = 54 + 10a

h-54 = 10a

(h-54)/10 = a

a = (h-54)/10

Now let's say we wanted to solve this equation: h = 54 + ca, where c is a constant and can stand in place of any number. The steps would be pretty much identical. Instead of dividing both sides by 10, we divide both sides by c. We can do this as long as c isn't zero of course.

That means the equation h = 54+ca solves to a = (h-54)/c

---------------------------

Why did I do those examples? To build up to the equation your teacher gave you.

Let's replace c with 0.5t^2

This is because 1/2 = 0.5

The 1/2at^2 is the same as (1/2t^2)a

So instead of a = (h-54)/c, we'd get a = (h-54)/(0.5t^2)

As a last optional and encouraged step, we can multiply every term by 2 to get rid of that decimal value.

Doing so makes a = (h-54)/(0.5t^2) turn into a = (2h-108)/(t^2)

---------------------------

Here's another way to solve:

h = 54 + (1/2)at^2

h-54 = (1/2)at^2

2(h-54) = at^2

2h-108 = at^2

(2h-108)/(t^2) = a

a = (2h-108)/(t^2)

In the second step, I subtracted 54 from both sides. Immediately afterward, I multiplied both sides by 2 so I could clear out the fraction. Then I divided both sides by t^2 to fully isolated the variable 'a'.

Answer:

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

240÷8days=30

30×12days=360

Answer:

330ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

80 degrees i believe

Step-by-step explanation:

if supplementary angles =180 then 180-100=80

Answer:

m∠QRS = 80°

Step-by-step explanation:

We know that, sum of supplementary angles is 180°.

Given that ∠ABC and ∠QRS are supplementary, and m∠ABC = 100°.

So, m∠ABC + m∠QRS = 180°

=> 100° + m∠QRS = 180°

=> m∠QRS = 180° - 100°

=> m∠QRS = 80°

9514 1404 393

Answer:

  Rs 3200

Step-by-step explanation:

The actual selling price was 20% below the cost price, so was ...

  sp = cp(1 -20%) = 0.80cp

Had the selling price been raised, the selling price would have been 5% above the cost price:

  sp +800 = cp(1 +5%) = 1.05cp

Subtracting the first equation from the second gives ...

  (sp +800) -(sp) = (1.05cp) -(0.80cp)

  800 = 0.25cp . . . . . . . simplify

  3200 = cp . . . . . . . . multiply by 4

The cost price was Rs 3200.

Answer:

Factors can be defined as a number or algebraic expression which divide the dividend without leaving any reminder.

9514 1404 393

Answer:

  1 : 400

Step-by-step explanation:

Victoria's scale factor is ...

  2 cm : 8 m = 2 cm : 800 cm = 2 : 800 = 1 : 400

Answer:

y = -1 ?

Step-by-step explanation:

y+10= 18/2

y+10=9

y=9-10

y=-1

Answer:

2y+ 20=18

⇔2y=-2

⇔y=-1

⇒1/2y=1/2(-1)

=-1/2

Step-by-step explanation:

Answer:

if your asking about how much he has left it's 20

Answer:

each side of square P is 30cm and each side of square Q is 20cm. ratio is 30:20

Step-by-step explanation:

hope this helps

Answer:

-4(-4,2)

(16,-8)

option C is correct

Answer:

<16,-8>

Step-by-step explanation:

-4/9 ( 18/2 v)

First multiply

-4v

-4 < -4,2>

<16,-8>