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Assoli18 [71]
3 years ago
7

Which equation shows the quadratic formula used correctly to solve 5x2 + 3x – 4 = 0 for x? x = StartFraction negative 3 plus-or-

minus StartRoot (3) squared minus 4 (5) (negative 4) EndRoot Over 2 (5) EndFraction x = StartFraction 3 plus-or-minus StartRoot (3) squared + 4 (5) (negative 4) EndRoot Over 2 (5) EndFraction x = StartFraction 3 plus-or-minus StartRoot (3) squared minus 4 (5) (negative 4) EndRoot Over 2 (5) EndFraction x = StartFraction negative 3 plus-or-minus StartRoot (3) squared + 4 (5) (negative 4) EndRoot Over 2 (5) EndFraction

Mathematics
2 answers:
Brrunno [24]3 years ago
6 0

Answer: FIRST OPTION

Step-by-step explanation:

<h3> The missing picture is attached.</h3>

By definition, given a Quadratic equation in the form:

ax^2+bx+c=0

Where "a", "b" and "c" are numerical coefficients and "x" is the unknown variable, you caN use the Quadratic Formula to solve it.

The Quadratic Formula is the following:

x=\frac{-b \±\sqrt{b^2-4ac} }{2a}

In this case, the exercise gives you this Quadratic equation:

5x^2 + 3x - 4 = 0

You can identify that the numerical coefficients are:

a=5\\\\b=3\\\\c= - 4

Therefore, you can substitute values into the Quadratic formula shown above:

x=\frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\x=\frac{-3 \±\sqrt{(3)^2-4(5)(-4)} }{2(5)}

You can identify that the equation that shows the Quadratic formula used correctly to solve the Quadratic equation given in the exercise for "x", is the one shown in the First option.

Reil [10]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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(2x-1)^2=<br><br> Some one plz help.....
Arlecino [84]

Answer: 4x^2−4x+1

Step-by-step explanation:

(2x-1)^2

Square of Difference: (a−b)^​2=a^​2−2ab+b^2.

(2x)^​2−2*2x+1

Multiplication Distributive Property: (xy)^​a=x^{a} y^{a}

2^​​​2x^2−2*2x+1

4x^2−2*2x+1

4x^2−4x+1

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)  

- Cutiepatutie ☺❀❤

3 0
3 years ago
For which value(s) of x are the triangles congruent?​
Varvara68 [4.7K]

Step-by-step explanation:

The solutions are 2 and 5

Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:

x^2 = 7x - 10

Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.

x^2 + 10 = 7x

Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.

x^2 - 7x + 10 = 0

Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.

(x - 2)(x - 5) = 0

You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.

x - 2 = 0

x = 2

One of the solutions is 2, because you add 2 to x to get 0.

x - 5 = 0

x = 5

The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.

2^2 = 7(2) - 10

4 = 14 - 10

So 2 is definitely a solution.

5^2 = 7(5) - 10

25 = 35 - 10

5 is also a solution.

Hope that helps :]

8 0
2 years ago
Find the average rate of change of a function that contains the points (-2,3) and (2,5). -2, -1/2, 1/2, 2
UkoKoshka [18]

Answer:

The answer is "\frac{1}{2}".

Step-by-step explanation:

Given points:

(-2,3)\\\\(2,5)\\\\

average rate=?

x_1=-2\\\\y_1=3\\\\x_2=2\\\\y_2=5

average\ rate=\frac{y_2-y_1}{x_2-x_1}

                     =\frac{5-3}{2-(-2)}\\\\=\frac{5-3}{2+2}\\\\=\frac{2}{4}\\\\=\frac{1}{2}

5 0
2 years ago
During vacation, Dave and his brother, Scott, rode their bikes from their family's rental house to a pond to go fishing. Althoug
padilas [110]

Answer:Dave

Step-by-step explanation:

If we are thinking logically, since dave arrived at the pond first even though they left at the same time, he should go farther because he is more athletic based on the information.

8 0
2 years ago
Read 2 more answers
Slacea 498<br>Place value=​
tia_tia [17]

Answer:

Place Values in this number are:

I) Place Value of 4= Ones

ii) Place Value of 9= Tens

iii) Place Value of 8= Hundreths

6 0
2 years ago
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