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VARVARA [1.3K]
3 years ago
10

The sum of two numbers is 72. one number is 4 less than the other number. what are the two numbers?

Mathematics
1 answer:
-Dominant- [34]3 years ago
8 0
Let 1st number be = x
Thus second number = x - 4

Now

(x) + (x - 4) = 72
2x - 4 = 72
2x = 76
x = 38

1st number is 38 thus 2nd number is (38 - 4) = 34
You might be interested in
100 Points!
tester [92]

Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)

To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.

4x^2 - 7x - 15 = 0

4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7

4x^2 - 12x + 5x - 15 = 0

4x(x - 3) + 5(x - 3) = 0

(4x + 5)(x - 3) = 0

4x + 5 = 0

x = -5/4

x - 3 = 0

x = 3

Part B: minimum, (7/8, -289/16)

The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.

To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.

b = -7

a = 4

x = -(-7) / 2(4) = 7/8

Now that we know the x-value, we can plug it into the function and solve for the y-value.

y = 4(7/8)^2 - 7(7/8) - 15

y = 4(49/64) - 49/8 - 15

y = 196/64 - 392/64 - 960/64

y = -1156/64 = -289/16 = -18 1/16

Part C:

First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.

Hope this helps!

6 0
2 years ago
Can someone plz help a bro out
Anettt [7]
1= -6
2= -5
3= -4
4= -3
5= 0
6= 3
8 0
3 years ago
Please answer !!!!!!!! Will mark brainliest whoever answers correctly !!!!!!!!
kirill115 [55]

Answer:

g(q) = 5/8q

Step-by-step explanation:

-7q + 12r = 3q - 4r

Add 4r to each side

-7q + 12r+4r  = 3q - 4r+4r

-7q +16r = 3q

Add 7q to each side

-7q+7q +16r = 3q+7q

16r = 10q

Divide each side by 16

16r/16 = 10q/16

r = 5q/8

g(q) = 5/8q

5 0
3 years ago
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
Aneli [31]

Answer: 5x + 2y = -2

Step-by-step explanation:

Change 5x+2y=12 to slope intercept: 2y = 12 - 5x, y = -5x/2 + 6

A parallel line has the same slope, so the line we try to find is y = -5x/2 + b.

Substitute (-2, 4) in and get 4=5+b, so b = -1.

Therefore the answer is y = -5x/2 - 1, or if you want it in the original form it would be 2y = -5x - 2 ---> 5x+2y = -2.

Hope that helped,

-sirswagger21

7 0
3 years ago
The mass of the moon is about 7.3 x 10^22 kg It would take approximately 26,000,000 moons to equal the mass of the sun. Determin
zimovet [89]
7.3 x 10^22 x 26,000,000=1.898x10^30
Mass of the sun= 1.898 x 10^30
4 0
3 years ago
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