Let f(x) be the function 4x2 - 6x + 11. Then the quotient
f(10 + h) – f(10)
can be simplified to ah + b for:
h
a
and
b

Answer: 7.364%...............

Answer:

Step-by-step explanation:

small amount = 10

Large amount = 135.8

% = (small amount / large amount ) * 100

% = (10 / 135.8) * 100

% = 0.0736* 100

% = 7.36%

Answer:

The slope is 8.000/2.000 = 4.000

The y-intercept is -7/1 = -7.00000

Step-by-step explanation:

^^

Step-by-step explanation:

12a. To

find x intercepts, set each factor equal to zero

[tex] {x}^{2} = 0[/tex]

[tex]x = 0[/tex]

[tex](x - 3) {}^{2} = 0[/tex]

[tex]x = 3[/tex]

[tex]x + 2 = 0[/tex]

[tex]x = - 2[/tex]

So the x intercepts are( 0,-2,3.)

The multiplicity of 0 and 3 is 2,

The multiplicity of -2 is 1.

The y intercepts are

[tex]0 {}^{2} (0 - 3) {}^{2} (0 + 2) = 0[/tex]

The y intercept is 0.

End Behavior: Since this is a positve 5th root function, as x increases, f(x) increases while as x decreases, f(x) decreases.

The First picture shows the graph of the function. Notice ried the zeroes that have a multiplicity of 2 have a parabolic reflection after thre function reaches their zero.

The zero that have a multiplicity of 1 have just passes through the graph.

12b. We have

[tex] {x}^{4} - 4 {x}^{2} [/tex]

We can easily find y intercept, which is 0.

To find x intercept,

Factor

[tex] {x}^{2} ( {x}^{2} - 4)[/tex]

[tex] {x}^{2} (x + 2)(x - 2) = 0[/tex]

[tex]x = 0[/tex]

[tex]x = 2[/tex]

[tex]x = - 2[/tex]

So the x intercepts are (0,2,-2).

The multiplicity of 0 is 2 while 2 and -2 is 1.

End Behavior: Since this is a positve quartic function, as x increases or decreases , f(x) increases

Look at the second graph,

Answer:

[tex]P(x)=x^2(x-3)^2(x+2)[/tex]

y-intercept is when x = 0:

[tex]\implies P(0)=0^2(0-3)^2(0+2)=0[/tex]

Therefore, y-intercept is at (0, 0)

x-intercept(s) is when P(x) = 0

[tex]\implies x^2(x-3)^2(x+2)=0[/tex]

[tex]\implies x^2=0\implies x=0[/tex]

[tex]\implies (x-3)^2=0\implies x=3[/tex]

[tex]\implies (x+2)=0\implies x=-2[/tex]

Therefore, x-intercepts are:

End-behavior:

As the lead coefficient is positive and the lead degree is odd,

[tex]P(x) \rightarrow - \infty \textsf{ as }x\rightarrow - \infty[/tex]

[tex]P(x) \rightarrow + \infty \textsf{ as }x\rightarrow +\infty[/tex]

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

[tex]P(x)=x^4-4x^2[/tex]

y-intercept is when x = 0:

[tex]\implies P(0)=(0)^4-4(0)^2=0[/tex]

Therefore, y-intercept is at (0, 0)

x-intercept(s) is when P(x) = 0

[tex]\implies x^4-4x^2=0[/tex]

[tex]\implies x^2(x^2-4)=0[/tex]

[tex]\implies x^2(x-2)(x+2)=0[/tex]

[tex]\implies x^2=0 \implies x=0[/tex]

[tex]\implies (x-2)=0 \implies x=2[/tex]

[tex]\implies (x+2)=0 \implies x=-2[/tex]

Therefore, x-intercepts are:

End-behavior:

As the lead coefficient is positive and the lead degree is even,

[tex]P(x) \rightarrow + \infty \textsf{ as }x\rightarrow - \infty[/tex]

[tex]P(x) \rightarrow + \infty \textsf{ as }x\rightarrow +\infty[/tex]

Answer:

Answer:

5x + 6

Step-by-step explanation:

(f-g)(x) is nothing but f(x) - g(x)

f(x) is |5x + 1| - 3 and g(x) is 4 so the equation is [|5x+1| - 3] - [4]

Once this is solved, the answer is 5x - 6. Since there's absolute value, remove the negative and change it to a positive to get the answer 5x + 6.

Answer:

2(x-2)(5x^2+4)

maybe i am wrong sorry if i am

Answer:

scale factor is larger larger length over the smaller length.

Answer:

300/1500, 1/5, or 20%

Step-by-step explanation:

There are 1500 students total, but only 300 engineering students. We can represent this as a fraction: 300/1500. When reduced it comes out to 20%.

Answer:

x = -2

Step-by-step explanation:

6x+12 = -x-2

7x+12 = -2(bring x to the left)

7x = -14(bring constants to the right)

x = -2

Answer:

angles A+ 100 + B are supplementry and add up to 180 degress.  Angle A and 20 degree angle are congruent, so angle A is 20 degrees.  Angle B and 60 degrees are congruent so B is 60 degrees.  Angle C and 100 degrees are congruent so C is 100 degrees.

Step-by-step explanation:

Answer: He will need to mow 7 lawns.

Step-by-step explanation:

He already has $20

90-20=70

70/10=7

Answer:

B

Step-by-step explanation:

pls mark me as brainest

Answer:

this dosent make sense i cant see the picture

Step-by-step explanation:

lol

Answer:

0.41666666666 is the correct answer

Step-by-step explanation:

f(2)=4(2)-1 = 7

the ordered pair is (4,7)

Answer:

y=x+6+3 it's d or c it's really hard

Step-by-step explanation:

To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Answer:

Im doing the same thing, i dont know the answer, Lol-

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Order of operations:

Solve:

56-12 / 6+4

56 - (12/6) +4  { No Multiplication but do have Division} (12/6 = 2)

56 - 2 + 4 {Subtraction ⇒ 56-2 = 54}

54 + 4 { Addition ⇒ 54 + 4 = 58}

Answer = 58

[RevyBreeze]

Answer:

Step-by-step explanation:

Using 3.14 as pi.

Perimeter of a circle = 2*pi*radius

= 2*3.14*10

= 62.8 cm

Area of a circle = pi*radius*radius

= 3.14*10*10

= 314 cm^2

Solution:

Formulas to remember:

Finding the circumference of the circle:

Finding the area of the circle:

that statement is very true

Answer:

a. 6+y   b. 5- (10x c)

C. 14 +(6 x c)  d. x +y=18 f. x - 12 = 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rule says that to find the number of years required to double your money at a given interest rate, you just divide the interest rate into 72. For example, if you want to know how long it will take to double your money at eight percent interest, divide 8 into 72 and get 9 years.

Answer:

21

Step-by-step explanation:

Result: -8

Subtract: 17

Multiply: -2

The key to finding the number is to reverse the steps given. So instead of subtracting then multiplying, it's supposed to be dividing then adding.

1) -8 / -2

2) 4 + 17

3) 21

How the answer was found with 21:

1) 21 - 17

2) 4 * -2

3) -8

Answer:

1.5$

Step-by-step explanation:

if you divide 18 by 12 you get 1.5 meaning each avacado is 1.5$ incase of more explanation\simple explanation: 1.5+1.5+1.5+1.5+1.5+1.5+1.5+1.5=12$

Answer:

$18.00./12 avocados gives the right answer

Answer:

Step-by-step explanation:

Answer:

1,440

Step-by-step explanation:

that is how much your car decreasing

hope it helps