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Margarita [4]
3 years ago
9

What is the answer to 4x²+7=31

Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0

Answer: x2= 6

FYI: The x2 is x squared

Step-by-step explanation:

Simplifying

4x2 + 7 = 31

Reorder the terms:

7 + 4x2 = 31

Solving

7 + 4x2 = 31

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 4x2 = 31 + -7

Combine like terms: 7 + -7 = 0

0 + 4x2 = 31 + -7

4x2 = 31 + -7

Combine like terms: 31 + -7 = 24

4x2 = 24

Divide each side by '4'.

x2 = 6

Simplifying

x2 = 6

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Explain the steps needed to determine the value of the expression shown below be sure to provide the correct value of the expres
inn [45]

Answer:

-3/2

Step-by-step explanation:

In the picture attached, the complete question is shown.

The expression is:

\frac{ \frac{1}{2} }{ \frac{-2}{5}} + \frac{-1}{4}

You can rewrite the first term, expressing the division as a multiplication, that is, inverting the fraction in the denominator, as follows:

\frac{1}{2} \times \frac{-5}{2}+ \frac{-1}{4}

\frac{-5}{4} + \frac{-1}{4}

The addition of a negative fraction is simply the subtraction by that fraction:

\frac{-5}{4} - \frac{1}{4}

\frac{-5 - 1}{4}

\frac{-6}{4}

Which can be simplified dividing by two both numerator and denominator:

\frac{-3}{2}

8 0
3 years ago
What is the equation of the line that passes through the point (5, -6) and has a<br> slope of 3/5
Marysya12 [62]

Answer:

y = 3/5x + -9

or y = 3/5x - 9

Step-by-step explanation:

Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b

Here is what this equation stands for:

y = the y in the order pair you are given, in this case it would be -6

m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5

x = the x in the ordered pair you are given, in this case it would be 5

b = This is the y-intercept, you will mostly be solving for this most of the time

(5,-6)

(x, y)

y = mx+b (Use this Formula)

-6 = 3/5(5) +b (The numbers have been substituted within the formula)

-6 = 3+b (simplify the equation by multiplying the slope by the x)

-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")

-9 = b (solve)

y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)

I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!

8 0
3 years ago
What is the square root of 70 million
lutik1710 [3]
The square root of 70 millions is <span>8366.60026534</span>
8 0
4 years ago
Given the figure above, determine​
tensa zangetsu [6.8K]
Answer: Angle 2 = 47 degree

Explanation:

Proof that triangle ACB ~ triangle CBD

Angle ABC = Angle CBD (same angle)

If one pair of the angle is the same then the other pair should also be equal because both the triangle are Isosceles.

=> angle ACD = Angle CDB

Therefore, triangle ACB ~ triangle CBD (AA)

=> angle C = Angle A

But angle A = 47 degree

Therefore, Angle C = Angle 2 = 47 degree

6 0
3 years ago
What is the range for y=x^2-7x-8 ?
gtnhenbr [62]

Answer:

[-20.25;+∞).

Step-by-step explanation:

1) according to the properties of the given parabola the minimum is:

x_0=-\frac{-7}{2}=3.5; \ y_0=-20.25;

2) y₀=-20.25 means, the value -20.25 is minimum of the range, the maximum →+∞;

3) finally, the range y≥-20.25.

7 0
2 years ago
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