Compare the function ƒ(x) = –x2 + 4x – 5 and the function g(x), whose graph is shown. Which function has a greater absolute maximum (vertex)? Question 16 options: A) There isn't enough information given. B) g(x) and ƒ(x) have equal absolute maximums. C) g(x) D) ƒ(x)

Hey There!! ~

The answer to this is: the upper bound for the length is [tex]21.5cm.[/tex] Lower and Upper Bounds

The lower bound is the smallest value that will round up to the approximate value.

The upper bound is the smallest value that will round up to the next approximate value.

Ex:- a mass of 70 kg, rounded to the nearest 10 kg, The upper bound is 75 kg, because 75 kg is the smallest mass that would round up to 80kg.

Here , A length is measured as 21cm correct to 2 significant figures. We need to find what is the upper bound for the length . let's find out:

As discussed above , upper bound for any number will be the smallest value in decimals which will round up to next integer value . So , for 21 :

⇒  [tex]21.5cm.[/tex]

21.5 cm on rounding off will give 22 cm . So , the upper bound for the length is [tex]21.5cm.[/tex]

Hope It Helped!~

[tex]ItsNobody[/tex]~

Answer:

19

Step-by-step explanation:

So we have the function:

[tex]f(x)=40+4x+x^2[/tex]

And we want to find the slope of the chord that connects the points (5,f(5)) and (5+Δx, f(5+Δx)).

So first, find the two points.

1) (5,f(5))

Substitute in 5 for x:

[tex]f(x)=40+4x+x^2\\f(5)=40+4(5)+(5)^2[/tex]

Square and multiply:

[tex]f(5)=40+20+25[/tex]

Add:

[tex]f(5)=85[/tex]

So, our first point is (5,85)

2) (5+Δx, f(5+Δx))

Remove the Δx by substituting it with 5. Thus:

[tex](5+\Delta x,f(5+\Delta x))=(5+5,f(5+5))=(10,f(10))[/tex]

Now, substitute in 10 for x. Thus:

[tex]f(10)=40+4(10)+(10)^2[/tex]

Square and multiply:

[tex]f(10)=40+40+100[/tex]

Add:

[tex]f(10)=180[/tex]

So our second point is (10,180).

Now, just find the slope between (5,85) and (10,180) using the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (5,85) be x₁ and y₁ and let (10,180) be x₂ and y₂. Substitute:

[tex]m=\frac{180-85}{10-5}[/tex]

Subtract:

[tex]m=\frac{95}{5}[/tex]

Divide:

[tex]m=19[/tex]

So, the slope that connects the chord is 19.

And we are done :)

Answer:c

Step-by-step explanation:

cccccccccc

Answer:

Hey, I think you've done this already!

Step-by-step explanation:

Answer:

brainliest

Step-by-step explanation:

Answer:

1 yard per hour

Step-by-step explanation:

3 feet=1 yard

Answer:

your answer will be -120

Answer:

you're answer would be -120

Step-by-step explanation:

108/(-0.9)=(-120)

Answer:

Step-by-step explanation:

1/4x + 1/2x + 1/4x = 360

4(2/4x + 1/2x = 360)

2x + 2x = 1440

4x = 1440

x = 360

1/4(360)= 90 Clermonth

1/2(360)=  180 Central

1/4(360)= 90 other schools

Steps to solve:

g() = 3.46 - 8?

~Subtract

g() = -4.54

Best of Luck!

Answer:

718

Step-by-step explanation:

just add the two numbers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{718}}}}}[/tex]

Step-by-step explanation:

( see attached picture )

Hope I helped!

Best regards!

Area of a rectangle  =  length x height

Area = 135

Height = X

Lenght = x +6

135 = x * x+6

Simplify:

135 = x^2 +6x

Subtract 135 from both sides:

x^2 + 6x - 135 = 0

Solve:

2 numbers when added need to equal 6 and when multiplied equal -135

x = 9 and x = -15

The height can't be a negative number so the height is 9

Length =  9 +6 = 15

Height = 9cm, Length = 15 cm

Answer:

[tex]A=\frac{Y+8}{B}[/tex]

Step-by-step explanation:

So we have:

[tex]Y=AB-8\\[/tex]

First, add 8 to both sides. The right will cancel:

[tex]Y+8=AB[/tex]

Now, notice that A is multiplied to B. So, the isolate A, divide both sides by B. The right will cancel:

[tex]A=\frac{Y+8}{B}[/tex]

And we're done!

Answer:

x = 16

Step-by-step explanation:

x - 12 = 4

 + 12 = +12

x = 16

Answer:

16

Step-by-step explanation:

Answer:

Answer:

[tex] \boxed{ \bold{ {\boxed{ \sf{6 {c}^{2} {d}^{2} + 2 {c}^{2} d + cd}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4 {c}^{2} d + 3dc - 2(d {c}^{2} + cd) + 6 {c}^{2} {d}^{2} }[/tex]

Distribute 2 through the parentheses

[tex] \dashrightarrow{ \sf{4 {c}^{2} d + 3dc - 2d {c}^{2} - 2cd + 6 {c}^{2} {d}^{2} }}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{6 {c}^{2} {d}^{2} + 4 {c}^{2} d - 2d {c}^{2} + 3dc - 2cd}}[/tex]

[tex] \dashrightarrow{ \sf{6 {c}^{2} {d}^{2} + 2 {c}^{2}d + cd }}[/tex]

Hope I helped !

Best regards! :D

the answer is a on engenuity

The answer is 100,000.

Answer 7

Step-by-step explanation

do theis prdcjkfbiubnvckdnsgjibjkdsvhbrhvbbghbvhvbhbgfndjsnjdnsndj

Answer:

C

Step-by-step explanation:

There was this saying they told me for rounding things. 5 or more, let it soar. 4 or less, let it rest. 9 is greater than or equal to 5, meaning that the digit in the hundredths place will increase by one.

Answer:

Your answer is 91, 494

Step-by-step explanation:

I will tell how is your answer is 91,494

72,931

+18,563

=91,494

Just add the question then you have your answer

Answer: 5 feet

Step-by-step explanation: To find the width of the rectangle,

start with the formula for the perimeter, shown below.

Perimeter = 2l + 2w

Since we know the perimeter is 36 and the

length is 13, we have 36 = 2(13) + 2w.

Simplifying on the right, we have 36 = 26 + 2w.

Not subtract 26 from both sides to get 10 = 2w.

Now divide both sides by 2 and 5 = w.

So the with is 5 feet.

Answer:

4 cups

Step-by-step explanation:

Answer:

x= -30.5

Step-by-step explanation:

In order to solve equations like this, we need to have all the x terms on one side, and all the other terms on the other side. For this equation so far, the x term (2x) is not alone (there is a +2) so we need to move the +2 to the other side to have x by itself. Whatever you do to one side of equation, you must also do to the other side to keep the equation equal. Therefore we can subtract 2 from both sides which moves the two to the other side while keeping the equation equal. In order to move a term to the other side, we must do the operation opposite to what the term has. E.g. +2 is adding 2, so to move it to the other side, we need to subtract 2.

2x +2 -2 = -59 -2

Which cancels out the 2 on the left side and gives us:

2x = -59-2

2x = -61

Then we just need to remove the 2.

In this case, this 2 is being multiplied to the x, so to move it, we will need to divide both sides by 2.

2x/2 = -61/2

which finally gives us:

x = -30.5

Hope this helped!

Answer: [tex]x>-28[/tex]

Simplify both sides of the inequality

[tex]1/4x<7[/tex]

Multiply both sides by 4/-1

[tex](4/-1)*(-1/4x)<(4/-1)*(7)\\x<-28[/tex]

Answer:

  86°

Step-by-step explanation:

If you draw a line segment AC, it forms the rest of right triangle ACB with the right angle at C. Then angle BAC is the complement of the given angle:

  ∠BAC = 90° -47° = 43°

The inscribed angle BAC intercepts arc BC, so the arc measure will be double the angle measure.

  arc BC = 2·43° = 86°

__

Another way to get there is to realize that arc BCA is 180°, because AB is a diameter. As above, arc AC will be double the measure of inscribed angle ABC, so arc AC has measure 94°.

  arc BC = arc ACB - arc AC

  arc BC = 180° -94°

  arc BC = 86°

Answer:  6) 35 meters        7) Ф = 10°

Step-by-step explanation:

[tex]6.\quad \tan\ 68^o=\dfrac{x}{14.3}\\\\\\.\quad 14.3 \tan\ 68^o=x\\\\.\quad 35\ meters =x[/tex]

[tex]7.\quad \sin \theta =\dfrac{0.7}{4.2}\\\\\\.\qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{1}{6}\bigg)\\\\\\,\qquad \quad \theta =10^o[/tex]

Question 6:

tan 68 = x/14.3

14.3tan(68) = x

35m = x

Question 7:

sinθ = 0.7/4.2

θ = sin^-1(1/6)

θ = 10

Best of Luck!

Answer:

Step-by-step explanation:

Grocery Store

12 mi / 3 cm = x / 2.5 cm            Cross multiply

12 * 2.5 = 3 * x                             Multiply

30 = 3x                                        Divide by 3

30/3 = x

x = 10 miles

Library

12 mi / 2 cm = x / 1.5                  Cross multiply

12 * 1.5 = 2x

18 = 2x                                        Divide by 2

18/2 = x

9 miles

The library is closer than the grocery store.

Answer: The filled out table is shown below in the attached image

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

Explanation:

The letters A through J are one way to fill out the table. Though there are other possible orders.

Start at letter A, which is from the fact we have 40 people total

Then move to letter B. This is the total number who like pasta (26)

We have C = A-B = 40-26 = 14 people who don't like pasta

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

Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.

F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.

Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.

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

So we have these values

Answer:

f(-2)= 0

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Step-by-step explanation:

First of all cross multiply

That's

Next divide both sides by - 1 to make x positive and change the sign from < to >

That's

We have the final answer as

Hope this helps you

Answer:

520 feet

Step-by-step explanation:

The easiest way to visualize this problem is to sketch a quick diagram.

For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.

Hope this helps!

Answer:

9 miles

Step-by-step explanation:

First 3 miles 10$

Every additional miles 4$

So 34$ minus 10$ is 24$

24$ divided by 4$ and that is 6 miles

6 + 3 is 9 miles