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yarga [219]
3 years ago
15

Its all in the picture

Mathematics
2 answers:
V125BC [204]3 years ago
5 0

Answer:

f(- 3) = 6

Step-by-step explanation:

f(- 3) means what is the value of f(x) when x = - 3

Locate x = - 3 on the x- axis

Then go vertically up to meet the graph at (- 3, 6 )

The value of f(- 3) is therefore 6, that is

f(- 3) = 6

jolli1 [7]3 years ago
4 0

Answer:

6

Step-by-step explanation:

..............................

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a rectangle is 8cm longer then it is wide, and it’s area is 153cm^2. Find the dimensions of the rectangle.
Stolb23 [73]

Answer:

Width of 9cm and length of 17cm.

Step-by-step explanation:

To calculate an area of a rectangle, use the formula A=l*w. We know the length is 8cm longer than the width. So l = 8 + w. So the area is A= (8+w)*w.

We also know the area is 153. Substitute this value for A and solve.

153 = (8+w)(w)\\153 = 8w+w^2\\w^2+8w-153 = 0

To solve the quadratic, use the quadratic formula:

\frac{-b+/-\sqrt{b^2-4ac} }{2a}

Here a=1, b=8 and c=-153.

w=\frac{-b+/-\sqrt{b^2-4ac} }{2a} \\w=\frac{-8+/-\sqrt{8^2-4(1)(-153)} }{2(1)} \\w=\frac{-8+/-\sqrt{64+612} }{2} \\w=\frac{-8+/-\sqrt{676} }{2} \\w=\frac{-8+/-26 }{2} \\w=\frac{-8+26 }{2}=\frac{18}{2}=9 \\and\\w=\frac{-8-26 }{2} =\frac{-34}{2}=-17

Since w=9 or w=-17, substitute this value for w in l= 8+w to find l.

l = 8+9 = 17

or

l=8+-17 = -9

Since length cannot be positive, it must be l=17 and w=9.

8 0
3 years ago
What is the surface area of this rectangular prism?
IceJOKER [234]

Answer: the answer is 290

Step-by-step explanation:

7 0
3 years ago
Find two numbers such that one number is 3 less than twice as big as the other number and the two numbers sum to 21.
Hitman42 [59]

Answer:

The two numbers are:

8 and 13

Step-by-step explanation:

a = 2b - 3       Eq. 1

a + b = 21        Eq. 2

Replacing Eq. 1 in Eq. 2:

(2b-3) + b = 21

3b - 3 = 21

3b = 21 + 3

3b = 24

b = 24/3

b = 8

from Eq. 1

a = 2*8 - 3

a = 16 - 3

a = 13

Check:

From Eq. 2:

a + b = 21

13 + 8 = 21

8 0
2 years ago
Where does the graph of y = sin x from x = 0 to x = 2π start?
ohaa [14]
The graph of y= sin x from x=0 to x=2π starts at the origin ( 0, 0 ).
7 0
3 years ago
What fraction does each person get if 8 friends share 5 apples equally?
Harman [31]

Answer:

Step-by-step explanation:

<h2><em>There are 8 friends and you need to chop up 5 apples. The 5 apples will be divided by 8, which comes as an answer of 58th of an apple.</em></h2>
8 0
3 years ago
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