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Viktor [21]
3 years ago
8

The Lin family has a fish tank with different colors of fish. There are 7 blue fish, 4 green fish, and 4 yellow fish. Part A Dra

w a picture or diagram to model the situation
Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

Here you go I guess.

You might be interested in
What base side length does the rectangular prism need to have the same volume??????
valkas [14]
Because you know that both the rectangular prism and the rectangular prism have the same volume, you can divide 588 cm^3 by 12cm to find the area of the base and get 49 cm^2. The base of the rectangular prism is x^2 so to solve just find the square rootof 49 cm^2 to get the side lengths (7 cm).

Hope this helped
7 0
2 years ago
Graph the image of this quadrilateral after a dilation with a scale factor of 4 centered at the origin
Brut [27]

Answer: The image is attached.

Step-by-step explanation:

A Dilation is defined as  a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the  dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1,  the image obtained after the  dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is:

scale\ factor=4

Since:

4>1

It is an Enlargement.

You can identify that the vertices of the pre-image shown in the figure, are:

(-2,1)\\\\(-1,2)\\\\(0,0)\\\\(-1,-2)

So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

((-2)(4),1(4))=(-8,4)\\\\((-1)(4),(2)(4))=(-4,8)\\\\((0)(4),(0)(4)=(0,0)\\\\((-1)(4),(-2)(4))=(-4,-8)

Now you can draw it (The image is attached).

8 0
3 years ago
Question in the image below:
horrorfan [7]

Answer:

x = 5/33 or 0.151515151

Step-by-step explanation:

7(-6x-2) = 8(3x-4)

step 1: simplify the equation.

-42x - 14 = 24x - 4

step 2: isolate the variable (using the balance method).

-42x - 14 + 14 = 24x - 4 + 14

-42x = 24x + 10

-42x - 24x = 24x - 24x + 10

-66x = 10

step 3: solve for x.

x = 10 ÷ -66

x = 5/33

4 0
2 years ago
Plz help me 75 points for the 2 questions!!!
liraira [26]

Answer:

<h3>#1</h3>

<u>The system of equations:</u>

  • 2x + 7y = -11
  • 3x + 5y = -22

Solve by elimination.

<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>

  • 3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
  • 6x + 21y - 6x - 10y = -33 + 44
  • 11y = 11
  • y = 1

<u>Find x:</u>

  • 2x + 7*1 = -11
  • 2x = -11 - 7
  • 2x = -18
  • x = -9

<u>The solution is:</u>

  • x = -9, y = 1
<h3>#2</h3>

<u>Simplifying in steps:</u>

  • 8u - 29 > -3(3 - 4u)
  • 8u - 29 > - 9 + 12u
  • 12u - 8u < -29 + 9
  • 4u < -20
  • u < -5
3 0
3 years ago
Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f
vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

f(x)=ax^3+bx^2+cx+d

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

y = x^3 - x

Equate y to 0

x^3 - x = 0

Expand

x(x^2 - 1) = 0

Express x^2 - 1 as difference of two squares

x(x - 1)(x +1 ) = 0

<em>x = 0 or 1 or -1</em>

For 2 x intercepts

y = x^3 - x

y  =(x-5)^2)(x+7)

Equate y to 0

(x-5)^2(x+7) = 0

Expand

(x-5)(x-5)(x+7) = 0

<em>x= 5 or x = -7</em>

For 1 x intercept

y = x^3

Equate y to 0

x^3 = 0

Take cube roots of both sides

x = 0

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

y = x^2 + x + 17

<em>The above function has no x intercept.</em>

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

y = x^2- 6x + 9

Equate y to 0

x^2- 6x + 9 = 0

Expand

x^2 - 3x - 3x + 9 = 0

(x - 3)(x-3) = 0

x = 3

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0
2 years ago
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