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julsineya [31]
1 year ago
9

If 139 is added to a number, the result is 44 less than four times the number. Find the number. Step 1 of 2: Use the variable x

to set up an equation to solve the given problem. Set up the equation, but do not take steps to solve it.​
Mathematics
1 answer:
lorasvet [3.4K]1 year ago
4 0

Answer:

73

Step-by-step explanation:

let the number = X

If 139 is added, it becomes= X +139

the result becomes 44less than four time the number

= 4(39)-44 = 156-44 =112

the set up equation becomes

X +39 = 112

solving for the value of X

X = 112-39

X = 73

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During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial
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Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

f(x) = -12x^2 + 60x + 5 ....(1)

(a) For maximum height, put \dfrac{df(x)}{dt}=0

So,

\dfrac{ d(-12x^2 + 60x + 5)}{dt}=-24x+60

Now put,

-24x+60=0\\\\x=2.5\ s

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

f(x=2.5) = -12(2.5)^2 + 60(2.5) + 5\\\\f(x)=80\ \text{feet}                

8 0
3 years ago
On a cold winter morning, the temperature was -4 degrees C. By noon, the temperature was 0 degrees. Did the temperature increase
solmaris [256]

Answer:

It increased by 4 degrees. It from -4 up to 0.

Step-by-step explanation:

7 0
3 years ago
Which point is a solution to the system of equations?<br> y = 2x + 2<br> Y = 3x
Kay [80]

Answer:

(2,6)

Step-by-step explanation:

y = 2x + 2

Y = 3x

2x+2=3x

2x-3x+2=0

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7 0
2 years ago
Question 2
BabaBlast [244]

Answer:

The equation of the required line is y = x + 5

Step-by-step explanation:

The equation of the given line is y = x - 2

The required line = A line parallel to the given line

The point through which the required line passes = (-3, 2)

The general form of the equation of a straight line, is y = m·x + c

Where;

m = The slope of the line

By comparison, the slope of the given line, m = 1

When two lines are parallel, their slope are equal

Therefore, the slope of the required line = m = 1

The equation of the required line in point and slope form is therefore;

y - 2 = x - (-3) = x + 3

∴y = x + 3 + 2 = x + 5

The equation of the required line is therefore;

y = x + 5.

6 0
2 years ago
Skskkskskskskkskskssksksk help.
ollegr [7]
The answer is 172 cm
4 0
3 years ago
Read 2 more answers
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