\begin{aligned} f(x)&=|x| \\\\ g(x)&=|x | + 1 \end{aligned} f(x) g(x) ​ =∣x∣ =∣x∣+1 ​ We can think of ggg as a translated (shifted) version of fff. Complete the description of the transformation. Use nonnegative numbers. To get the function ggg, shift fff by units.

Answer:

Step-by-step explanation:

Answer:

[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]

Step-by-step explanation:

Given

[tex]p =1[/tex] -- Leading coefficient

[tex]Zeros: 4\ and\ 3 - i[/tex]

Required

Determine the polynomial

Represent the zeros with a and b

Such that

[tex]a = 4[/tex]

[tex]b = 3 - i[/tex]

The polynomial is:

[tex]P(x) = p * (x - a) * (x - b)[/tex]

[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]

However, to solve further: We need to symmetrise over 3-i  and its conjugate

[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]

[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]

To define a suitable function, the expression becomes

[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]

[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]

[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]

[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]

Open bracket

[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]

[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]

[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]

Answer:

23°

Step-by-step explanation:

Complement angles are two angles that add up to 90°.

Since we’re given that one of them is 67°, the other one must add up to 90°

90 - 67 = 23

The other angle is 23°

Answer:

the complement of 67° is the angle that when added to 67° forms when a right angle (90°)

Answer:

33.2 inches²

Step-by-step explanation:

Steps to derive the answer

Circumference of a circle = 2nr

n = 3.14

r = radius

20.41 = 2x 3.14 x r

Divide both sides by (2 x 3.14)

r = 3.25 inches

Area of a circle = nr²

3.14 x  3.25² = 33.2 inches²

Answer:

question 2 is B. 3 units down

question 3 is B. 4 units down

Step-by-step explanation:

graphed it again luv <3

Answer:

88

Step-by-step explanation:

the median is 88

the mean is 87.5

Answer:

13

Step-by-step explanation:

Answer:

you are going to do angles sum on 180 so what you are to do is 5+12+B+c=180

Answer:

1 or 2 I think hope this helps but I think it's 1!

Answer:

,J

Step-by-step explanation:

Answer:

chubby blubby tubby

Step-by-step explanation:

tubby blubby shubby

Answer:

3√2

Step-by-step explanation:

Find the diagram attached

Sine the base of the triangle are divided equally the opposite angle to the sides will be 45 degrees

Considering one of the right angles triangle;

Hypotenuse = x

Opposite = 3

Angle theta = 45 degrees

According to SOH CAH TOA

sin theta = opp/hyp

sin 45 = 3/x

x = 3/sin45

x = 3/(1/√2)

x = 3 * √2

x = 3√2

Hence the value of x is 3√2

Answer:

d or 4

Step-by-step explanation:

got it right correct me if im wrong, please

Answer:

GH = 20

Step-by-step explanation:

Here, we want to get the numerical length of GH

from what we have, G is on FH

What this could mean is that;

FG + GH = FH

x + 5x = 4x + 8

6x = 4x + 8

6x-4x = 8

2x = 8

x = 8/2

x =4

Recall;

GH = 5x

GH = 5(4)

GH = 20

Answer: 6.6

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

Answer:

To find x intercept, u graph it

the x intercept is 1.67

Step-by-step explanation:

Answer:

x+1

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Let t represent the third-place prize value. Then the first place prize has a value of 2t+500, and the second-place prize is 2t+100. The total value of the three prizes is ...

  t +(2t+500) +(2t+100) = 1850

  5t +600 = 1850

  5t = 1250

  t = 250 . . . . . . . . . . . third place prize

  2t +500 = 1000 . . . . first place prize

  1000 -400 = 600 . . .second place prize

The prizes for 1st, 2nd, and 3rd places are $1000, $600, and $250, respectively.

Answer:

15

Step-by-step explanation:

15 x 15 = 225

Answer:

The answer is "$11".

Step-by-step explanation:

Chloe bought a pull, which costs [tex]\$24[/tex], and a shirt which costs [tex]\frac{5}{8}[/tex] times as much as the pullout.

Sweater cost = [tex]\$24[/tex]

Shirt cost [tex]= \frac{5}{8} \times 24=15[/tex]    

Therefore, total shirt and sweater costs[tex]= 24+15=39[/tex].

Then she gave [tex]\$ 50[/tex] to her officer.

Thus, she got changes [tex]= 50-39=11[/tex]

therefore, Chloe received a change of 11 dollars if she gave her employer [tex]\$50[/tex].

Answer:

66 cm

Step-by-step explanation:

You can find the area of the rectangle by simply multiplying the sides that are complete and don't touch the triangle. That is equal to 60 cm.

To find the area of the triangle, you first have to find the sides. You can find the first side by subtract the top side of the rectangle from the bottom, which gets us 3 (12-9). Then subtract the left side (5) from the right side (9) (9-5), which gets us 4. That would mean that 3*4*1/2 is equal to 6. 6+60 is equal to 66 cm.

Hope that this helps!

Answer:

The answer is below

Step-by-step explanation:

A linear function graph can be represented by:

y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.

a) From the graph we can see the graph passes through the point (0, 100) and (20, 400). Hence we can use the following formula to find the equation:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{400-100}{20-0}(x-0)\\\\y-100=15x\\\\y=15x + 100[/tex]

b) An example of real life linear function is the energy consumed per day in kWh. Let us assume 5 kWh is consumed each day by the person. Since the independent variable is the days, it would be on the x axis, while the dependent variable (energy consumed) would be on the y axis.

Answer:

Okay, subtract 2 from 12 and you get ten divided by 2 is 5 so five is the answer

Step-by-step explanation:

Answer:

work it backwards.

12-2= 10

10 ÷2 = 5

so, 2 x 5 plus 2= 12

p= 5

Answer:

y = -2/3x + 1

Step-by-step explanation:

( -3, 3) and (0,1)

m=(y2-y1)/(x2-x1)

m=( 1 - 3)/(0+3)

m = (-2)/3

m = -2/3

y - y1 = m(x - x1)

y - 3 = -2/3(x + 3)

y - 3 = -2/3x - 2

y = -2/3x + 1

Answer:

y = -2/3x + 1

Step-by-step explanation:

(-3,3) and (0,1)

slope= y2-y1/x2-x1

1-3 / 0+3

-2/3

y = mx + b

y = -2/3x + b

1 = 0 + b

b = 1

y = -2/3x + 1

hope this helps :)))

Answer:

Step-by-step explanation:

The point-slope form of equation of function passing the point (x₀,y₀) where m is the slope  is:  y - y₀ = m(x - x₀)  

m = -3

(1, 2)     ⇒    x₀ = 1,    y₀ = 2

y - 2 = -3(x - 1)

Answer:

[tex] \sqrt{81 - 36} \\ = \sqrt{45 } \\ = 3 \sqrt{5 } \\ = 6.71[/tex]

The length of the third side of the triangle will be 6.71 units.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The length of the third side of the triangle will be

Let x be the length of the third side of the triangle. Then we have

9² = 6² + x²

81 = 36 + x²

x² = 45

x = 6.708

x ≅ 6.71 units

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Answer: The smallest number is 0.123

Step-by-step explanation:

We want to find the smallest number between:

0.123 and 0.13

To do it, we first need to look at the largest digit of each number and see which one is larger.

In both cases we can see that the largest digit  for both numbers is the first digit after the decimal point.

For both numbers this digit is 1, so we can't conclude nothing yet.

Now we need to look at the next digit.

For 0.123, the second digit is 2.

For 0.13 the second digit is 3.

Then the second digit is larger for 0.13, this means that 0.123 is the smallest number.

I can not explain you how to use the grids below because i can not see them in the question.

Translation

1 units left

Compression of 1/4

Up 2 units.

Answer:

b

Step-by-step explanation:

sorry if im wrong