All categories

3 years ago

Can you answer 3 and 4 thx

Mathematics

1 answer:

dezoksy [38]3 years ago

7 0

It’s the distributive property.
Two equivalent expressions are multiply 12+4x by 2= 24+8x, and divide 12+4x by 2= 6+2x

You might be interested in

11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7

posledela

Answer:

7 x = -35

Step-by-step explanation:

Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.

- 7 x = negative 35

- 7 x = 35

7 x = negative 35

7 x = 35

In this problem we need to add the equations below i.e.

11x-3y = -17 and -4x+3y=-18

Adding both equations,

11x-3y+(-4x)+3y = -17+(-18)

7x= -35

7 x = negative 35

Hence, the correct option is (c).

5 0

3 years ago

What is the solution of the system? Use substitution.

nekit [7.7K]

Substituting y=6x+2 into equation 3y - 18x =12 looks like:

3(6x + 2) - 18x = 12
18x + 6 - 18x = 12 distributive property left side
6 = 12 simplifying the left side

We now see a contradiction: 6 does not equal 12 What this tells us is that there is no solutions to this equation. So choice 'C' ...

8 0

3 years ago

Read 2 more answers

Jeanette is painting A rectangle wall that is 10 feet long and 8 feet tall. There is a window that is 5 feet wide and 3 feet til

dimulka [17.4K]

10 × 8 = 80 squared feet
(wall space)

5 × 3 = 15 squared feet
(area of the window)

80- 15 = 65 squared feet
(the amount of area she will be painting on)

7 0

3 years ago

Read 2 more answers

g In 2013, the Pew Research Foundation reported that 43% of U.S. adults report that they live with one or more chronic condition

SOVA2 [1]

Answer:

We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between 39.7% and 46.33%

Step-by-step explanation:

From the question we are told that

The sample proportion is $\r p = 43\% = 0.43$

The standard error is $SE = 0.017$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100-95)\%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * SE$

=> $E = 1.96 * 0.017$

=> $E = 0.03332$

Generally 95% confidence interval is mathematically represented as

$\r p -E < p < \r p +E$

=> $0.43 -0.03332 < p < 0.43 + 0.03332$

=> $0.39668 < p < 0.46332$

Converting to percentage

$(0.39668 * 100)< p < (0.46332*100)$

$39.7\% < p < 46.33 \%$

7 0

3 years ago

Clock #2: A clock has a radius of 6 inches. The center is 14.5 inches below the ceiling. Record the distance as you did for Cloc

Whitepunk [10]

Answer:

The question is incomplete, I assume that we want to write an equation that defines the position (or distance) between the tip of the second hand of the clock and the ceiling.

We know that:

The center of the clock is 14.5 in below the ceiling.

The radius of the clock is 6 inches.

So, a general cosine equation is written as:

f(x) = A*sin(w*t) + M

where:

A = amplitude, in this case, is equal to the radius of the clock

w = angular frequency

t = time in seconds

M = midline (the oscillation is around this point), in this case, would be the distance between the center of the clock and the ceiling, because the clock is 14.5 inches below the ceiling, we can write this as M = -14.5 in

Replacing these two in the equation we have:

f(t) = 6in*cos(w*t) - 14,5in

Now, we know that at t = 0s the tip of the second hand of the clock is in its most high point, so at t = 0 we have the maximum, this is why we used a cosine function, because the maximum of the cosine function is at:

cos(0) = 1

We also know that the minimum will be at t = 30 seconds (when the tip of the second hand is in the bottom part of the clock)

then we need to have:

cos(w*30s) = -1

Remember that:

cos(pi) = -1

then:

w*30s = pi

solving for w, we get:

w = pi/30s

Then the equation for the distance between the tip of the second hand of the clock and the ceiling is:

f(t) = 6in*cos(t*pi/30s) - 14.5 in

4 0

3 years ago