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Marrrta [24]
3 years ago
7

Simplify these expressions a) 5x +3x + 2y + 4y b) 6x - 2x + 8y - 6y​

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Answer:

a) \: 5x + 3x + 2y + 4y \\  = 8x + 6y

b) \:  6x - 2x + 8y - 6y \\  = 4x + 2y

I hope I helped you^_^

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Which of the following ordered pairs could be placed in the table and still have the relation qualify as a linear function?
vagabundo [1.1K]
Linear functions have to have the same slope between any 2 points

find the slope betwen them
slope betwen 2 points (x1,y1) and (x2,y2) is
(y1-y1)/(x2-x1)
given
(1,12) and (3,9)
slope=(9-12)/(3-1)=-3/2

if we wanted to chek furthere, we check (3,9) and (5,6) and fnd that the slope is also -3/2

so
y=mx+b
m=slope
b=yint
y=-3/2x+b
find b
if x=1 then y=12
12=-3/2+b
add 3/2 both sides
12+3/2=b
13+1/2=b
26/2+1/2=b
27/2=b
y=-3/2x+27/2
try them

we have 2 x values
7 and 3
input them and see their outputs

for x=7
y=-3/2(7)+27/2
y=-21/2+27/2
y=6/2
y=3
(7,3) is a valid point

for x=3
hold a second, we already have a x=3
it is (3,9)
none of them


answer is (7,3)
4 0
3 years ago
Read 2 more answers
Assume that a computer was used to generate the given confidence interval for the population mean. Find the sample mean or margi
stealth61 [152]

Answer:

The sample mean is

b.3.55

The margin of error is

0.32

Step-by-step explanation:

Deep explanation about a confidence interval

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*215 = 353.675

The lower end of the interval is the mean subtracted by M. So it is 6.4 - 0.3944 = 6.01 hours.

The upper end of the interval is the mean added to M. So it is 6.4 + 0.3944 = 6.74 hours.

In this problem:

The deep explanation is not that important.

We just have to recognize that the interval has a lower end and an upper end. The distance from both the upper and the lower end to the mean is M. This means that the sample mean is the halfway point between the lower end and the upper end.

The margin of error is the distance of these two points(lower and upper end) to the mean.

In our interval

Lower end: 3.23

Upper end: 3.87

Sample mean

M = \frac{3.23 + 3.87}{2} = 3.55

So the correct answer is:

b.3.55

The margin of error is

3.87 - 3.55 = 3.55 - 3.23 = 0.32

4 0
3 years ago
The Rawlins family has travelled 600 km on their vacation. This has taken them 8 hours. If they continued at the same rate, how
spin [16.1K]

Answer:

B. 28 hours

Step-by-step explanation:

GIVEN :- <em>Time taken by family to travel 600 km is 8 hours</em>

CALCULATIONS :-

<em>To calculate the time to travel 2100 km, we need to calculate distance traveled in 1 hour</em>

<em>Distance traveled in 1 hour = 600 km ÷ 8</em>

<em>                                              = 75 km</em>

<em>Time required to travel 2100 km = 2100 ÷ 75</em>

<em>                                                         = </em><em>28 hours</em>

Therefore time required to travel 2100 km is 28 hours.


6 0
3 years ago
Leon has 16 fewer quarters than dimes. He has 34 quarters.
ELEN [110]

Answer:

A grand total of 50 dimes

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
B-10 &gt; 5; 14, 15, 16
torisob [31]
B = 16
explanation:
b-10 > 5
16-10 > 5
6 > 5
The other answer choices are less than or equal to 5
3 0
2 years ago
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