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RUDIKE [14]
3 years ago
10

Complete the square to solve 4x2 + 24x = 4.

Mathematics
2 answers:
igomit [66]3 years ago
8 0

Answer:

x = - 3 ± \sqrt{10}

Step-by-step explanation:

Given

4x² + 24x = 4 ( divide through by 4 )

x² + 6x = 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 1 + 9

(x + 3)² = 10 ( take the square root of both sides )

x + 3 = ± \sqrt{10} ( subtract 3 from both sides )

x = - 3 ± \sqrt{10}

madreJ [45]3 years ago
3 0

Answer:

X=1/8

Step-by-step explanation:

Calculate the product 4x×2 + 24x = 4

Collect like terms 8x + 24x = 4

Divide both sides of the equation by "32" 32x = 4

Solution x = 1/8

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At 2:00 p.m. two cars start toward each other from towns 240 miles apart. If the rate of one car is 10 mph faster than the other
Juli2301 [7.4K]
Let’s call the speed of the slower car S, then the speed of the other is S+10mph.
At 5pm they have been travelling for 3 hours. The slower car travels a distance 3S and the faster one 3(S+10).
But the two distances must add up to 240 miles so 3S+3(S+10)=240, 3S+3S+30=240, 6S=210, S=35 mph. The faster car’s speed is 45mph. We can see that 3S is the same distance as 3x, so x=S=35 mph, and the distance the faster car travels is 3×45=135 miles.
5 0
3 years ago
Read 2 more answers
The model represents an inequality. what is the solution set for the inequality?
Ierofanga [76]

Answer:

X > (greater than or equal to) -7

Step-by-step explanation:

3x + 15 > -6

3x > -21 (subtract 15 from both sides)

X > -7 (divide both sides by 3)

5 0
3 years ago
19 – 5x = 9(1+x) solve
Maurinko [17]

\Large\boxed{\tt Answer:~x=\frac{5}{7} }

\tt Step-by-step~explanation:

Remember: PEMDAS - Parentheses, exponents, multiply/divide, add/subtract

Distribute: 9(1+x) = 9+9x

19 - 5x = 9 + 9x

Add 5x to both sides of the equation and subtract 9 from both sides.

19 - 5x + (5x) = 9 + 9x + (5x)

19 - (9) = 9 - (9) + 14x

10 = 14x

Divide both sides by 14 to get the variable on its own.

10/14 = 14x/14

10/14=x

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7 0
3 years ago
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What is the slope of the line?<br> y=54x−13π
Grace [21]
If the equation is in the form of y = mx + C, where m and C are real numbers, the slope (which means gradient) of the line is the coefficient of x (I.e. the number to the left of x in simple language), which is m.

In this case, m = 54 and C = -13pie. Both are real numbers, which means that this equation satisfies the form of y = mx + C

m is the coefficient of x, which is 54. 54 is the gradient of this line, which means that for every 54 y-axis units the line increases, the line increases 1 x-axis unit.

Hope this helps! :)
4 0
3 years ago
PLEASE HELP A GIRL OUT!!! What is the best estimate for the value of the expression?
Ivenika [448]

Answer: -2(1/2)

Step-by-step explanation:

I CAN HELP A GIRL OUT!

anyways...

calculate the difference first.

(-13/12) - 14/9

then, rewrite the expression.

-13/12 - 14/9

the solution is -95/36.

when it's converted to decimal form, it turns into -2.638. so, our BEST estimate for the value of the expression is -2(1/2)       (the second option)

5 0
3 years ago
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