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Lera25 [3.4K]
3 years ago
9

A rectangle has a length of (x+5)and a with of x Write down the expression for the area of a rectangle If the area is 24cm²,find

the value of
Mathematics
1 answer:
ratelena [41]3 years ago
8 0

Answer: Width = 3cm

Length = 8cm

Step-by-step explanation:

Length = x+5 cm

Width = xcm

Area = 24cm²

Area of a rectangle = length × width

x × (x + 5) = 24

x² + 5x = 24

x² + 5x - 24 = 0

x² + 8x - 3x - 24 = 0

x(x + 8) - 3(x + 8) = 0

x - 3 = 0

x = 3

Width = 3cm

Since length = x + 5 = 3 + 5 = 8cm

Length = 8cm

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The function f(x) = |xl is graphed over the interval (-6,3].
garri49 [273]

Answer: g(x) = |x − 3|

Step-by-step explanation:

i got it right on edge. I hope this helps :D

4 0
3 years ago
If 40% is eliminated from 500 what is left over?
DIA [1.3K]

Answer:

300

Step-by-step explanation:

6 0
3 years ago
The probability that a randomly selected point on the grid below is in the blue area is 9/16
DochEvi [55]

Answer:

The correct option is 1.

Step-by-step explanation:

it is given that the probability of a randomly selected point on the grid below is in the blue area is 9/16.

In the given grid we have only two colors that are blue and white.

Let A be the event of a randomly selected point on the given grid is in the blue area.

P(A)=\frac{9}{16}

If the randomly selected point on the given grid does not lie in the blue area, it means it lies on white area.

We will calculate P(A'), to find the probability that a randomly selected point is in the white on the grid.

We know that the sum of the probability is 1.

P(A)+P(A')=1

P(A')=1-P(A)

It is given that P(A)=\frac{9}{16}

P(A')=1-\frac{9}{16}

Therefore option 1 is correct.

8 0
3 years ago
Read 2 more answers
The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 256.3 and a standard deviation of
AnnyKZ [126]

Answer:

a) In the interval  (  55,9  ;   456,7 ) we will find 99,7 % of all values

b) In the interval  (  122,7  ;  389,9 ) we find 95,4 % of all values

Step-by-step explanation:

For a Normal distribution N (μ ; σ ) the Empirical rule establishes that the intervals:

( μ  ±  σ  )          contains 68,3 % of all values

( μ  ±  2σ  )        contains 95,4 % of all values

( μ  ±  3σ  )        contains 99,7 % of all values

If   N ( 256,3 ; 66,8 )

σ  =  66,8        ⇒   3*σ  = 3 * 66,8  = 200,4

Then:     256,3 - 200,4  =  55,9

And        256,3 + 200,4 = 456,7

a) In the interval  (  55,9  ;   456,7 ) we will find 99,7 % of all values

b) 2*σ  = 2 * 66,8  = 133,6

Then  256,3 - 133,6  = 122,7

And    256,3 + 133,6 = 389,90

Then in the interval  (  122,7  ;  389,9 ) we find 95,4 % of all values

4 0
3 years ago
Please help em with this one plz
abruzzese [7]
The correct answer is y=6x^(2)-1

Multiple 'm' in y=mx+b By 8
8(3/4)= 24/4= 6
4 0
3 years ago
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