What number should go in the empty boxes to complete the calculation for finding the product of 0.53 × 0.67?

Five people come to a party and shake hands with each other. If each person shakes the hand of every other person, how many han

borishaifa [10]

Answer:

15

Step-by-step explanation:

5 0

3 years ago

3x+4y=29 6x+5y=43 Solve through elimination

vagabundo [1.1K]

Answer:

Let's solve your system by elimination.

3x+4y=29;6x+5y=43

Multiply the first equation by -2,and multiply the second equation by 1.

−2(3x+4y=29)

1(6x+5y=43)

Becomes:

−6x−8y=−58

6x+5y=43

Add these equations to eliminate x:

−3y=−15

Then solve−3y=−15for y:

−3y=−15

−3y −3 = −15

−3

(Divide both sides by -3)

y=5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

3x+4y=29

Substitute5foryin3x+4y=29:

3x+(4)(5)=29

3x+20=29(Simplify both sides of the equation)

3x+20+−20=29+−20(Add -20 to both sides)

3x=9

3x 3 = 9

3

(Divide both sides by 3)

x=3

Answer:

x=3 and y=5

Step-by-step explanation:

I love this stuff 229 999 0523

6 0

3 years ago

PLEASE HELP!!!!!!!! :(((

levacccp [35]

Since the origin is the center of the dilation, this means we simply multiply every coordinate of the given point by the scale factor.

(6,12) would turn into (18,36) since
6*3 = 18
12*3 = 36

The final answer is (18,36)

7 0

3 years ago

DRAG EACH tile to the correct box.

m_a_m_a [10]

Answer:

The matched table:

A. vertical stretch of a factor of 3 ⇒ g ( x ) = 3 (5)ˣ

B. vertical compression of a factor of 1/3 ⇒ g ( x ) = 1/3 (5)ˣ

C. horizontal stretch of a factor of 3 ⇒ $g(x) = 5^{\frac{1}{3}x}$

D. horizontal compression of a factor of 1/3 ⇒ $g(x) = 5^{3x}$

Step-by-step explanation:

IDENTIFYING VERTICAL STRETCH AND COMPRESSION

Let us consider the given function f(x) = 5ˣ

The function g ( x ) = 3 (5)ˣ would be vertically stretched by 3, as value of the multiplied constant '3' is greater than 1.

And the function g ( x ) = 1/3 (5)ˣ would be compressed vertically by 1/3, as the value of the multiplied constant '1/3' is less than 1.

IDENTIFYING HORIZONTAL STRETCH AND COMPRESSION

Let us consider the given function f(x) = 5ˣ

Note: please remember that when the function input gets multiplied by a positive constant - assuming that constant as 'b' - we would obtain a function - a transformed function with a graph horizontally compressed or stretched.

If b > 1, the graph would be horizontally compressed by a factor of 1/b.

If 0 < b < 1, the graph would be horizontally stretched 1/b.

So the function $g(x) = 5^{\frac{1}{3}x}$ would be horizontally stretched by 3. The reason is simple. The constant value 1/3 is greater than 0 but lesser than 1.

And the function $g(x) = 5^{3x}$ would be stretched vertically by 3. The reason is simple. The constant value 3 is greater than 1.

So, the correct box would look like this:

A. vertical stretch of a factor of 3 ⇒ g ( x ) = 3 (5)ˣ

B. vertical compression of a factor of 1/3 ⇒ g ( x ) = 1/3 (5)ˣ

C. horizontal stretch of a factor of 3 ⇒ $g(x) = 5^{\frac{1}{3}x}$

D. horizontal compression of a factor of 1/3 ⇒ $g(x) = 5^{3x}$

Keywords: transformation, horizontal stretch and compression, vertical stretch and compression

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5 0

4 years ago

A captain and a co-captain are randomly selected from the 12 members of a fencing team. Determine the probability that Lauren is

Lilit [14]

I'm not 100% sure of this I think its as follows:-

Prob(Lauren then Isabel picked) = 1/12 * 1/11 = 1/132

4 0

3 years ago

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