At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x-axis?
-5
-2
2
О
5

Answer:

7 / 15= 0.47

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

AE = 14.6 I think. If I'm wrong, use whatever number it is.

Sin(x) = 5/14.6

Sin(x) = 0.3425

x = Sin-1 (0.3425)

x =20.03

Now the other larger triangle has an acute angle of 90 -20.03 =  69.97

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

Cos(69.97) = 13.1/DE

DE = 13.1/cos(69.97)

DE = 38.25

Answer:

D

Step-by-step explanation:

Because pi never ends.

Hence, D (π) is a irrational number.

Answer:

The answer is option A

A) Circumference= 12[tex]\pi[/tex] m

Step-by-step explanation:

To find the circumference of a circle the formula you would use is C=2[tex]\pi[/tex]r

if the radius is 6 meters, C is

C = 2*6 [tex]\pi[/tex]r

C= 12[tex]\pi[/tex] m

Answer:

that help

Step-by-step explanation:

10h+27+−27=c+−27

10h=c−27

10h10=c−2710

h=110c+−2710

Answer:

h=110c+−2710

Answer:

Quotient : 3x² + 5x + 1

Step-by-step explanation:

Answer:

52 students or 51

Step-by-step explanation:

Answer: A:500-300=4n and C:4n+300=500

Step-by-step explanation:

The expression to represent the net yardage is 30.5x+12.9y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, gain 25x yards, gain 0.9y yards lose 12y yards and lose 5.2x yards.

Now, net yardage

= 25x+0.9y+12y+5.5x

= 30.5x+12.9y

Therefore, the expression to represent the net yardage is 30.5x+12.9y.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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9514 1404 393

Answer:

  4)  6x

  5)  2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

  [tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the power rule.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

  lim[h→0](f(x+h)-f(x))/h = 2ax +b

__

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

__

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

Answer:

<XWY= 180-23

Step-by-step explanation:

angles on a straight line add up to 180!

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Answer:

Below

Step-by-step explanation:

Problem 1

Blank 1 = 6

Blank 2 = 17

(5*3)+2

Blank 3 = 4

(4*1)

Problem 2

Blank 1= (-5)^3=-5*-5*-5=-125

Blank 2= 18

(6*3)

Blank 3= 12

(4*3)

Answer:

x is in the top left of the triangle :)

Step-by-step explanation:

Answer:

its there....

Step-by-step explanation:

Answer:

Step-by-step explanation:

It's a simple question as we know:

y-y1=m(x-x1)

y-20=12(x-3)

y=12x-36+20

y=12x-16

Now, your line is in slope intercept form you can compare it with

y=mx+c

m=12 and c=16. You can also put your point to verify your answer.

Answer:

t ≤ − 4

Step-by-step explanation:

Answer: t ≤ -4

Step-by-step explanation:

rearrange the problem 24-(-6*t)≤0  Pull out like factors :24 + 6t  =   6 • (t + 4)

Divide both sides by 6    Subtract  4  from both sides t ≤ -4

Answer:

4 1/8 ounces

Step-by-step explanation:

Total bag of chocolate chips Mary has = 16 1/2 ounces

She will only use 1/4 of the bag for decorating a cake.

How many ounces will she use for decorating

Ounces used in decoration = 1/4 of 16 1/2

= 1/4 × 33/2

= (1*33)/(4*2)

= 33/8

= 4 1/8 ounces of chocolate chips

She will use 4 1/8 ounces of chocolate chips for decorating a cake

Answer:

a = -2, b = -3, c = 2

Step-by-step explanation:

We have the following three equations.

ab = 6

ac = -4

bc = -6

Multiply equation 2 and 3, we get

abc^2=24

Dividing it by the first equation, we get

c^2=4

c=2 or -2 (rejected since c is a positive integer)

We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.

9514 1404 393

Answer:

  x = 10√3

Step-by-step explanation:

The Pythagorean theorem tells you ...

  FB^2 = BC^2 +CF^2

  FA^2 = FB^2 +BA^2

Substituting for FB^2, we have ...

  FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2

  FA^2 = 3x^2

  FA = x√3 = 30 . . . . take the square root and substitute for FA

  x = 30/√3

  x = 10√3

Answer:

Y = 10.25 or 10.247

Step-by-step explanation:

Alright So use the Formula A^2 + B^2 = C^2

You have one leg and the hypotenuse so first you are going to find 19 ^2 = 361.

Next, you need to find 16^2 = 256.

Last but not least, you subtract the leg from the hypotenuse, which equals 361-256=105

Finally, you take 105 and find its square root.

And depending on how far you round it down, your answer would be 10.25(that is in tenths), or 10.247(which is rounded to hundredths)

Hope this helps!

Answer:

-2/x

Step-by-step explanation:

simplified is y = -x/2 - 6

Perpendicular slopes are just reciprocals of the original slope, so just flipp the original slope around to be the complete opposite.

Example if slope= -2, the reciprocal= -1/2

Just flip the numerator with the denominator for perpendicular slope

Answer:

a) h = 15

b) x = 4

Step-by-step explanation:

a) set up a proportion:

  5 = h

   8     24

cross-multiply:

8h = 120

h = 15

b) x + 5 = x + 5 + 15

   5x + 1    5x + 1 + 35

cross-multiply:

(x + 5)(5x + 36) = (5x + 1)(x + 20)

5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20

180 = 40x + 20

160 = 40x

x = 4

Answer:

A. 35°C.

Step-by-step explanation:

35 C (Celsius), converted to F (Fahrenheit), would be 95. Which would make it a hot day.

So, you answer is 35°c.

Answer:

2*2=4

Step-by-step explanation:

Answer:

9 years ( approximately)

Step-by-step explanation:

900(1.03)^t = 1200

(1.03)^t= 1.33

( 1.03)^t= ( 1.03)^9

So, t= 9

Answer:

The one on the graph

Step-by-step explanation:

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