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3 years ago

Evaluate the expression 3(x-1)2nd power +2x-7 for x=3

Mathematics

1 answer:

Yanka [14]3 years ago

5 0

Answer:

3Step-by-step explanation:

Given

3(x - 1)² + 2x - 7 ← substitute x = 3 into the expression

= 3(3 - 1)² + 2(3) - 7

= 3(2)² + 6 - 7

= 3(4) - 1

= 12 - 1

= 11

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The price of a commodity has fell down by 15% so that priya can buy 3 more commodities for Rs 1700. What was the original price

erastova [34]

Answer:

2,000

Step-by-step explanation:

write out an equation that represents the problem. the original price X fell by 15% to a new price of 1700:

X - (X*15%) = 1700

X(1-0.15) =1700

X=1700/(1-0.15)

X=2,000

convert 15% to decimal form:

15%=0.15

7 0

3 years ago

There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different su

Lelechka [254]

Answer:

1980

We can choose 2 men from 9 in 36 in ways.

We can choose 2 women from 11 in 55 ways.

For any arrangement of 2 men there are 55 ways of combining them with 2 women => 55 * 36 = 1980 total ways.

If you're wondering how i got the numbers i used the combination formula:

C(n, k) = $\frac{n!}{k!(n-k)!}$

3 0

2 years ago

Find the value of x , if log₂ [log₅ (log₃x)] = 0

Lina20 [59]

$\log_2 (\log_5( \log_3x)) = 0\\
D:x>0 \wedge \log_3x>0 \wedge \log_5(\log_3x)>0\\
D:x>0\wedge x>1 \wedge\log_3x>1\\
D:x>1 \wedge x>3\\
D:x>3\\
\log_5(\log_3x)=1\\
\log_3x=5\\
x=3^5\\
x=243$

3 0

3 years ago

The midpoint of -7 and 8 on the number line is 1/2 true or false

Phoenix [80]

Answer:

True

Step-by-step explanation:

Yo find the midpoint between 2 points x1 and x2

midpoint = (x1+x2)/2

midpoint = (-7+8)/2

midpoint = 1/2

8 0

2 years ago

The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.

Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: $(x-3)^{2} + (y+2)^{2} = 25$

Now, comparing it with the general equation of circle: $(x-h)^{2} + (y -k)^{2} = r^2$

we get the central coordinates (h,k) = (3,-2)

So, the slope of the line joining center and (8, -2) = $\frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0$

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = $\frac{-1}{0}$

Now, by point slope formula: the equation of the tangent is

(y-y0) = m (x-x0)

or, $(y +2) = \frac{-1}{0} (x -8)$

or x =8 is the equation of the tangent.

8 0

3 years ago