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3 years ago

One number added to twice another number is 13. Four times the first

1 answer:

6 0

Let's call the first number x, and the second number y. Putting what you have said into equation form:

$x+2y=13
\\\\4x+2y=-2
$

Subtracting one equation from another gives:

$x+2y=13 \\-(4x+2y=-2)

\\\\-3x=15
\\x=-5$

If x = -5,

$x+2y=13
\\(-5)+2y=13
\\2y=18
\\y=9$

So the first number is -2, the second number is 9

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The answer is 43 when you add 29 back to 57 then divide by 2

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2 years ago

Please help me

scZoUnD [109]

4x+y>-6
y>-4x-6
Then:
(-1,-1)
if x=-1; and y=-1

-1>-4(-1)-6
-1>4-6
-1>-2;
(-1,-1) is a solution for this in-equation.

(0,-9)
0>-4(-9)-6
0>36-6
0>30 this is not true, therefore (0,-9) is not a solution.

(4,-20)
-20>-4(4)-6
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0>-14 This is true, therefore (2,0) is a solution.

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Answer: The next pairs are solutions to this inequality: (-1,-1) , (4,20), (2,0).

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2 years ago

How should I write an expression ? :/

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2 years ago

18. A soccer ball is kicked upward from a height of 1.5 feet with an initial vertical velocity of 35 feet per second. Its

NemiM [27]

Answer:

Part a) $-16t^{2}+35t+1.5=0$

Part b)

$a=-16\\b=35\\c=1.5$

Part c) The soccer ball will take 2.23 seconds to reach the ground

Step-by-step explanation:

we have

$h(t)=-16t^{2}+35t+1.5$

where

t is the time the ball has been in the air, in seconds

h(t) is the height, in feet, of the soccer ball

Part a) Write an equation that could be used to determine the time the ball traveled before it hit the ground

we know that

When the ball hit the ground, the value of h(t) is equal to zero

For h(t)=0

$-16t^{2}+35t+1.5=0$

This equation can be used to determine the time the ball traveled before it hit the ground

Part b) Determine the values of a, b, and c

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^{2}+35t+1.5=0$

$a=-16\\b=35\\c=1.5$

Part c) How long will it take for the soccer ball to reach the ground after it was kicked?

Solve the quadratic equation by the formula

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

we have

$a=-16\\b=35\\c=1.5$

substitute the values

$x=\frac{-35(+/-)\sqrt{35^{2}-4(-16)(1.5)}} {2(-16)}$

$x=\frac{-35(+/-)\sqrt{1,321}} {-32}$

$x_1=\frac{-35(+)\sqrt{1,321}} {-32}=-0.04$ ---> cannot be a solution (is negative)

$x_2=\frac{-35(-)\sqrt{1,321}} {-32}=2.23$

therefore

The soccer ball will take 2.23 seconds to reach the ground

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3 years ago

3. There are 6645 students at Tech Middle School, and

Natalka [10]

Answer:

.20

Step-by-step explanation:

The word percent literally means "Out of 100". With that being said, 20% can be written as a fraction, mixed number or whole number as follows: 1/5 (fraction), 20/100 (mixed number) or .20 (whole number).

6 0

2 years ago

Read 2 more answers