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3 years ago

Select ALL choices where 3 is the GCF of the pair of n umbers,

Mathematics

1 answer:

padilas [110]3 years ago

3 0

Answer:

A, B, D

Step-by-step explanation:

A: factors of 9= 1, 3, 9/factors of 15= 1, 3, 5, 15. Their largest common one is 3

B: factors of 9= 1, 3, 9/factors of 21= 1, 3, 7, 21. Their largest common factor is 3

C: factors of 12= 1, 2, 3, 4, 6, 12/ factors of 18= 1, 2, 3, 6, 9, 18. Their largest common factor is 6, not 3

D: factors of 15= 1, 3, 5, 15/ factors of 27= 1, 3, 9, 27. Their biggest common factor is 3.

E: factors of 30= 1, 2, 3, 5, 10, 15, 30/ factors of 45= 1, 3, 5, 9, 15, 45. Their largest common factor is 15, not 3.

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One number is one-third a second number. if the sum of the numbers is 48, find the numbers.

Gnoma [55]

First number assume A

Second number assume B

A= 1/3B ==> B= 3A

A+B = 48 ==> A+ 3A= 48

4A= 48 ==> A= 12

B= 3A= 36

8 0

3 years ago

Solve equations by using elimination <br> -4+5y= 13<br> X-5y=21<br> ( , )

tigry1 [53]

Answer:

y=17/5 ,x= 38

Step-by-step explanation:

-4+5y =13 add 4 both side

4-4+5y=13+4

5y=17

5y/5=17/5 y=17/5

x-5y=21

x-5(17/5)=21

x-17=21

x=21+17= 38

5 0

3 years ago

Solve (x + 5)2 = 48.

natita [175]

Answer:

x = -5 ±4sqrt(3)

Step-by-step explanation:

(x + 5)^2 = 48

Take the square root of each side

sqrt((x + 5)^2) = ±sqrt(48)

x+5 = ±sqrt(16*3)

x+5 = ±4sqrt(3)

Subtract 5 from each side

x = -5 ±4sqrt(3)

7 0

3 years ago

1. The curve y = (x - 1)(x – 5) cuts the x-axis at A and B and the y-axis at C.

saveliy_v [14]

So the first two questions are asking for points of intercept. a is asking where the function crosses the x, in this case it is where y=0. So your x intercept is at x= 1,5. Then to find the y intercept it is where x=0, so just substitute 0 for x. Then you get your y intercept as y=5. Because your coefficient for the quadratic function is positive your function has a minimum since it opens upward. I’m not sure what is means by C coordinate, but your vertex is at (3,-4) and lime of symmetry is at x=3.

X intercepts: (1,0) and (5,0)
Y intercept: (0,5)

3 0

2 years ago

The table below shows the temperature in degrees for eight consecutive days as well as the respective number of ice cream cones

cricket20 [7]

Answer:

We have to find the equation of least squares regression line in order to find the number of ice cream cones that the shopkeeper to sell if the temperature is 106 degrees. We can use excel regression data analysis tool to find the equation of the regression line. The excel output is attached here.

The equation of the least squares regression line is:

$\hat{y}=46.587+5.080x$

Now, if the temperature is 106 degrees, then the number of cones expected to be sold is given below:

$\hat{y}=46.587+5.080 \times 106$

$=585.1 \approx 585$

Therefore, the number of ice cream cones that the shopkeeper would expect to sell if the temperature is 106 degrees is 585.

6 0

3 years ago