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stich3 [128]
3 years ago
5

HOMEWORK

Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0

Answer:

1 meter is 100 centimeters

Henry misread the meters part and assumed his desk was 1 centimeter, which is why he thought his nametag was 7 cm longer.

In reality, his desk is 92 cm longer (100 cm - 8 cm = 92 cm)

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The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below. How many roots of f(x) are rational numbers
labwork [276]

The <u>root</u> of the <u>function</u> is such point x_0, for which f(x_0)=0.

The attached graph of the function  f(x) = 2x^3 - 19x^2 + 57x - 54 shows, that the graph of the function intersects the x-axis in three points (2,0), (3,0) and (4.5,0).

This means that for

  • x=2, f(2)=0;
  • x=3, f(3)=0;
  • x=4.5, f(4.5).

Thus, x=2, x=3 and x=4.5 are rational roots of the polynomial function f(x).

Answer: three rational roots.

6 0
3 years ago
Read 2 more answers
Use the diagram to solve for the three variables so that the quadrilateral will be a rhombus. Show all of your work for full cre
satela [25.4K]

Answer:

  • x = 4
  • y = 4
  • z = 7

Step-by-step explanation:

Each triangle is a right triangle, and all are congruent. So ...

  90 -m∠CAB = (1/2)m∠CDA

  90 -(4x +33) = (1/2)(12x +34)

  57 -4x = 6x +17 . . . . . . . eliminate parentheses

  40 = 10x . . . . . . . . . . . . .add 4x-17

  4 = x

We also have ...

  2m∠CAD = m∠BCD

  2(3z +28) = 10z +28

  6z +56 = 10z +28 . . . . . eliminate parentheses

  28 = 4z . . . . . . . . . . . . . .subtract 6z+28

  7 = z . . . . . . . . . . . . . . . . divide by 4

Since BC = CD ...

  x = y = 4

The values of the three variables are ...

  x = 4, y = 4, z = 7.

3 0
3 years ago
is searching online for airline tickets. Two weeks​ ago, the cost to fly from Boston to Orlando was ​$220. Now the cost is ​$370
dalvyx [7]

Answer:

68% increase and 91% increase

Step-by-step explanation:

220(1+x)=370 --  220(1+rate increase)=370

1+x=1.68

x=.68

220(1+x)=420  (370+50)=420

1+x=1.909

x=.91

4 0
4 years ago
Solve for (2-x)(x^2-4)
svp [43]

Answer:

-x^3+2x^2+4x-8

Step-by-step explanation:

(2-x)(x^2-4)

2x^2-8-x^3+4x

-x^3+2x^2+4x-8

4 0
3 years ago
Help me solving number 22 &amp; 24. Thanks:)
aksik [14]

Answer:

Question 22

x intercept is 7

y intercept is 4

The answer is C

Question 24

x intercept is -4

y intercept is 7

The answer is B

Step-by-step explanation:

x and y intercepts are the points at which the graph meets x and y axes.

x and y intercepts can be found the following way,

y intercept - substitute 0 to x

x intercept - substitute 0 to y

Question 22

7y=28-4x

Substitute x=0 to find the y intercept

7y=28-4*0

=7y=28

=y=4

Substitute y=0 to find x intercept

7*0=28-4x

=0=28-4x

=4x=28

=x=7

Therefore,

x intercept is 7

y intercept is 4

The answer is C

<u>Question 24</u>

4y=7x+28

Substitute x=0 to find the y intercept

4y=7*0+28

=4y=28

=y=7

Substitute y=0 to find x intercept

4*0=7x+28

=0=7x+28

=-7x=28

=x=-4

Therefore,

x intercept is -4

y intercept is 7

The answer is B


5 0
3 years ago
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