Determine if the function f(x)=x+4 is increasing or decreasing on the interval of 2≤x≤5. Justify your answer.

Answers

Answer 1

Step-by-step explanation:

Given

The function is [tex]f(x)=x+4[/tex]

for [tex]x_2>x_1[/tex], we will check the values of [tex]f(x_1)[/tex] and [tex]f(x_2)[/tex]

Take 3 and 4

[tex]f(4)=4+4\\f(4)=8[/tex]

Similarly,

[tex]f(3)=3+4\\f(3)=7[/tex]

Thus, [tex]f(4)>f(3)[/tex]

Also, [tex]f'(x)[/tex] is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.


Related Questions

in a 3-digit number, the hunderds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sun of the digits is 11, find the number

Answers

Answer:362

Step-by-step explanation:

So, the ones digit is 2. Since the hundreds digit is one more, it's 3. And because the tens is twice the hundreds, it's 6. The number is 362

Rewrite in simplest radical form X to the power of 5/6 divided by x to the power of 1/6

Answers

Answer:

[tex]\sqrt[3]{x^2}[/tex]

Step-by-step explanation:

x ^ (5/6)   / x ^ (1/6)

We know that a ^b  / a^ c = a^ (b-c)

x^ ( 5/6 - 1/6)

x^ (4/6)

x^ ( 2/3)

[tex]\sqrt[3]{x^2}[/tex]

x^(5/6) / x^(1/6) =
x^(5/6 - 1/6) quotient rule =
x^(4/6) simplify =
x^(2/3)

X to the power of 2/3

Question 2 of 10 What is the slope of the line shown below? O A O B. O c. LOG O p. 3​

Answers

A, B or D

..................

................

...............

......

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24. Find the volume of the pyramid. Round to the nearest hundredth if
necessary.
Please help

Answers

Answer:

Solution given:

volume of pyramid =⅓area of base×height

=⅓*1*1*1=⅓=0.33yd³

the volume of the pyramid

the volume of the pyramid0.33yd³

Need help on this question asap please

Answers

Answer:

all about tires is the best deal

Step-by-step explanation:

93 ÷ 3 = 31

70 ÷ 2 = 35

64 ÷ 2 = 32

all about tires is the cheapist for all the tire amount becuase it caulsts $31 for one tire.

What is the complete factorization of x^4-17x^2+16?

Answers

Answer:

(x +1) (x-1) (x +4) (x-4)

Step-by-step explanation:

The factorization of x^4-17x^2+16 is

(x+1) (x-1) (x+4) (x-4)

Answer:

(x+4)(x-4)(x+1)(x-1)

Step-by-step explanation:

189 minutes equal how many hours and minutes​

Answers

Answer: 3 hours and 15min

Step-by-step explanation:

Answer:

3 houurs and 9 minutes

Step-by-step explanation:

Andy claims that his bird can do single-digit multiplication. He shows the bird 12 cards with simple multiplication problems that are either correct or incorrect. The bird correctly identifies the correctness of the card 9 times out of 12. If the bird were simply guessing, how many would the bird be expected to get correct? (1 point)

3
9
6
12

Answers

If the bird were just guessing there would be two options (right or wrong) and we would expect them to be equally likely to occur (50% chance for each). A 50% of correct, out of 12 cards gives us:

12×0.50=6

If the bird was guessing we would expect 6 correct answers. (1/2 of the total correct and 1/2 wrong.)

So the answer would be 6.

Select the two values of x that are roots of this equation.
x2 - 5x + 2 = 0

Answers

Answer:

C and D

[tex] {x}^{2} - 5x + 2 = 0 \\ x = \frac{5± \sqrt{17} }{2} [/tex]

12………….Wrong answer but someone else got you

does this look correct ?

Answers

Answer: it looks correct to me!!!

Look at the attached picture above

(just from the top half, then apply this same thing to the rotated/reflected bottom half)

I NEEDDD HELPPPPP PLEASEEE

Answers

Answer:

#3

Hope this helped! Please give brainliest to let me know <3

Step-by-step explanation:

Presale tickets (p) are each worth $7: represented in the equation as 7p.

Door tickets (d) are each worth $10: represented in the equation as 10d.

They sold 345 tickets, so p+d=345. They collected $2550, so 7p+10d=2550.

Final answer:

(3) [tex]\left \{ {{7p+10d=2550} \atop {p+d=345}} \right.[/tex]

complete the solution find the value of y when x equals 1 9x+7y=-12

Answers

9(1)+7y=-12
9+7y=-12
7y=-12-9
7y=-21
7y/7=-21/7
y=-3

Solve for x. Round to the nearest tenth, if necessary.​

Answers

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60=adjacent/hypotenuse

1/2=80/x

x=80*2

x=160

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
a triangle with side lengths of 15,30, and 35 is a right triangle. true or false?

Answers

Answer:

false

Step-by-step explanation:

15²+30² =  225+900 = 1125

35² = 1225

Since Pythagoras theorem doesn't hold for this triangle, it is not a right triangle.

oanciewuv bwhgubviweucnwelkv helppppppppppp

Answers

Answer:

-4 19/20

Step-by-step explanation:

2 1/5 ÷ -4/9

Change to an improper fraction

(5*2+1)/5 =11/5

Copy dot flip

11/5 * -9/4

-99/20

Changing back to mixed number

-4 19/20

Answer:

-99/20 or -4.95

Step-by-step explanation:

make the first fraction a simple fraction by multiplying the denominator by the whole number and adding the numerator.

which equals 11/5. Then you multiple by the reciprocal of 4/-9 which is -9/4

to look like 11/5 * -9/4 = -99/20

You are jumping on a trampoline. For one jump, your height y (in feet) above the trampoline after t seconds can be represented by y= -16t^2+24t. How many seconds are you in the air?

Answers

Answer:

[tex]1.5\; \rm s[/tex].

Step-by-step explanation:

The person in this question is in the air whenever the height is greater than [tex]0[/tex].

The graph of [tex]y = -16\, t^{2} + 24\, t[/tex] is a parabola opening downwards. Rearrange and find values of [tex]t[/tex] that would set this expression to [tex]0[/tex].

[tex]\begin{aligned}y &= -16\, t^2 + 24\, t \\ &= t\, (-16\, t + 24) = -8\, t\, (2\, t - 3)\end{aligned}[/tex].

The first factor, [tex]t[/tex], suggests that [tex]t = 0[/tex] would set this expression to [tex]0[/tex]- quite expected, since the person is on the ground right before jumping.

The second factor, [tex](2\, t - 3)[/tex], suggests that [tex]2\, t = 3[/tex] (in other words, [tex]t = 3/2 = 1.5[/tex]) would also set this expression to [tex]0[/tex]. Hence, this person would be once again on the ground [tex]1.5[/tex] seconds after jumping.

Hence, this person is in the air between [tex]t = 0[/tex] and [tex]t= 1.5[/tex] for a total of [tex]1.5\; \rm s[/tex].

You bike 4 miles the first day of your training 4.5 miles a second Day 5.5 miles a day day and 7.5 miles the fourth day if you continue this pattern how many miles do you bike the seventh day

Answers

Answer:

rth sdh h trh

Step-by-step explanation:

trh rhgf  

How do I do this (With instructions if you could) (Will give brainliest)

Answers

Okay so I think if it’s C saying how many runners pulses were certain numbers each I don’t know really how to explain it lol

A submarine begins its descent from the surface of the water and dives 20 feet for each minute. What would be the depth of the submarine after 2/3 hours?

Answers

Answer:

Distance = speed * time

Convert feet to meter (C units) = about 6

Convert hours to second (C units) = about 2399

Distance = 6 * 2399

= 1439 meters

4721 foot

Write the slope-intercept form of the equation for the line

Answers

The third answer is correct

Hope this helps ;)

Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3

Answers

Step-by-step explanation:

-2x+5<3

-2x>3-5

-2x>-2

Divide both sides by -2

x>1

Answer:

-2x+5<3

-2x<-2

x<1

Solve for x:−2(x+9)=−1(x+−1)+2

Answers

Answer:

A

Step-by-step explanation:

expanding the bracket, we would have

-2x -18 = -x+1+2

-2x+x= 3 +18

-x=21

x=-21

Answer:

A

Step-by-step explanation:

−2(x+9)=−1(x+−1)+2

Use distributive property

-2x - 18 = -1x + 1 +2

-2x - 18 = -1x + 3

      +18         +18

-2x = -1x +21

+1x    +1x

___________

-x = 21

we need to have a positive x so multiply x by -1. -x times -1 = x

What we do on the left side has to happen to the right side too

So, 21 times -1 = -21

Therefore, x = -21

Hope this helps :)

A Rice Krispies Treats Recipe calls for 3 cups of
marshmallows and 1/2 box of Rice Krispies
1. How many cups of marshmallows do you need if you are using a box of Rice
Krispies?
A complete answer includes:USE CROSS PRODUCT, All steps for solving the problem
shown, Final answer with correct labels
2. Complete the ratio table based on the Rice Krispies Treats Recipe. Fill out all entries.
3
6
10
18
Cups of
Marshmallows
1/2
8
Boxes of Rice
Krispies
MacBook Pro

Answers

Answer:

1 is the answer have a good day

Rachel has two coupons for a bicycle.
Coupon A:
15% off of a $95 bicycle
$18 rebate on a $95 bicycle
Coupon B:
Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.
Coupon A gives the lower price.
Х
The price with coupon A is $(less than the price with coupon B.
Coupon B gives the lower price.
The price with coupon B is $ less than the price with coupon A.
$

Answers

Answer: Coupon B gives the lower price

The price of coupon B is  3.75 dollars   less than the price of coupon A.

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

Explanation:

15% off means she saves 15% of the original price.

15% of 95 = 0.15*95 = 14.25

Rachel saves $14.25 if she goes with coupon A.

We can see that coupon B gives the lower price because we have more in savings (since 18 is larger than 14.25).

If she goes with option A, then she spends 95-14.25 = 80.75 dollars. If she goes with option B, then she spends 95-18 = 77 dollars. Going with option B means she saves 80.75-77 = 3.75 dollars

Or you could note that 18-14.25 = 3.75 is another way to find out how much is saved when comparing the two coupons.

hey you guys its your favorite gal, hopin in to ask a couple more questions for the better in me (im honestly just asking for points and for answers, thanks for being loyal as always )

Select the correct answer.
Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second?
A.
15 + d = 100
B.
100 + d = 15
C.
d × 15 = 100
D.
d × 100 = 15

Answers

Answer:

c

Step-by-step explanation:

We are dividind how 100 can fit in 15 seconds

which is 100 /15

therefore when C when u tak it to the other side it divides 100 in 15

d×15=100

d=100/15

Use the law of cosines to find the length of side C.

Answers

Answer:

[tex]\text{D. 36.64}[/tex]

Step-by-step explanation:

The Law of Sines is given by [tex]\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}[/tex] and works for any triangle.

Therefore, we have the proportion:

[tex]\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}[/tex]

Evaluate 32 + (7 − 2) ⋅ 4 − 6 over 3 . (1 point)

Answers

Answer:

50

Step-by-step explanation:

Given:

32 + (7 − 2) ⋅ 4 − 6/3

Using the acronym PEMDAS

P = parenthesis

E = Exponential

M = Multiplication

D = Division

A = Addition

S = Subtraction

32 + (7 − 2) ⋅ 4 − 6/3

= 32 + (5) • 4 - 6/3

= 32 + 20 - 6/3

= 32 + 20 - 2

= 52 - 2

= 50

Therefore,

32 + (7 − 2) ⋅ 4 − 6/3 = 50

Suppose f(x) = mx + b. What is the inverse function in terms of m and b?

Answers

Answer:

f^(-1)(x) = (x-b)/m  or  x/m - b/m

Step-by-step explanation:

f(x) = y = mx + b

To find the inverse function, interchange x and y and solve for y, i.e.

x = my + b

my = x-b

y = (x-b)/m = x/m - b/m

press the image to see the whole question ​

Answers

Let x be the hottest temperature.

Equation: x - (-35.67) = 148.98

So,

x - (-35.67) = 148.98

=> x + 35.67 = 148.98

=> x = 148.98 - 35.67

=> x = 113.31

what is the vertex form of the equation y equals 3x squared + 6x - 4​

Answers

Answer:

y = 3(x + 1)² - 7

Step-by-step explanation:

y = 3x² + 6x - 4

First, factor out the coefficient of the quadratic eq'n:

y = 3(x² + 2x - ⁴/₃)

Use the "complete the square" rule;

The "x² + 2x" should be rewritten as "(x + 1)² - 1", i.e. place into squared brackets x (without the power 2) and add half the coefficient of the x-term, you then need to subtract the square of the constant term in the squared brackets and then simplify:

y = 3((x + 1)² - 1 - ⁴/₃)

y = 3((x + 1)² - ⁷/₃)

Finally, multiply the 2 terms you end up with by the 3, factored out initially:

y = 3(x + 1)² - 7

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