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3 years ago

Find the area of the rectangle below.

Mathematics

1 answer:

Sloan [31]3 years ago

7 0

(3x-2)*(4x-7)
12x^2 - 21x - 8x + 14
(12x^2 - 29x + 14) square units
Final answer: C

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Expand the following expression <br> (x + 2)(x² – 3x - 1)

Cloud [144]

Answer:

$x^{3} - x^{2} - 7x -2$

Step-by-step explanation:

Give me brainllest

4 0

3 years ago

Read 2 more answers

Find the missing side. Round to the nearest tenth

vladimir1956 [14]

Answer:

Step-by-step explanation:

tan(35°) ≈ 0.7002

from triangle:

tan(35°) = 7/x

so:

7/x = 0,7002

7 = 0.7002•x

x = 7/0.7002 = 9,9971...

x ≈ 10.0

8 0

4 years ago

Find a number in the closed interval [1/2,3/2] such that the sum of the number and its reciprocal is

sattari [20]

Let's assume that number as x

so,

the sum of the number and its reciprocal is

$S(x)=x+\frac{1}{x}$

Firstly, we will find derivative

$S'(x)=1-\frac{1}{x^2}$

now, we can set it to 0

and then we can solve for x

$S'(x)=1-\frac{1}{x^2}=0$

$x=-1,x=1$

Since, only x=1 lies on [1/2,3/2]

so, we will consider only x=1

now, we can plug end values and x=1 into S

At x=1/2:

we can plug x=1/2

$S(\frac{1}{2})=\frac{1}{2} +\frac{1}{\frac{1}{2}}$

$S(\frac{1}{2})=\frac{1}{2} +2$

$S(\frac{1}{2})=\frac{5}{2}$

At x=1:

we can plug x=1

$S(1)=1 +\frac{1}{1}$

$S(1)=1 +1$

$S(1)=2$

At x=3/2:

we can plug x=3/2

$S(\frac{3}{2})=\frac{3}{2} +\frac{1}{\frac{3}{2}}$

$S(\frac{3}{2})=\frac{3}{2} +\frac{2}{3}$

$S(\frac{3}{2})=\frac{13}{6}$

(a)

Smallest value:

The smallest value among them

$S(1)=2$

So, a number is 1..........Answer

(b)

Largest value:

The largest value among them

$S(\frac{1}{2})=\frac{5}{2}$

So, a number is $\frac{1}{2}$ ........Answer

6 0

4 years ago

The average of 8 scores is Q. If the average of 3 of the scores is Z, what is the average of the other 5 scores?

OLga [1]

$\dfrac{s_1+\cdots+s_8}{8}=Q\implies s_1+\cdots+s_8=8Q$
$\dfrac{s_1+s_2+s_3}{3}=Z\implies s_1+s_2+s_3=3Z$

Substituting into the first equation, this means

$s_4+\cdots+s_8=8Q-3Z$

Divide by 5 to get the average:

$\dfrac{s_4+\cdots+s_8}{5}=\dfrac{8Q-3Z}5$

7 0

3 years ago

Prove or disprove: if p and q are prime numbers then pq - 2 is also a prime number.

jeyben [28]

Counterexample:

$p=2\\ q=3\\\\ pq-2=2\cdot3-2=4$

4 is not a prime number. So, it's false.

7 0

4 years ago