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3 years ago

How can you solve quadratic equation in one variable using quadratic formula?

Mathematics

1 answer:

Semmy [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Here are the steps required to solve a quadratic using the quadratic formula:

Example 1 – Solve: x²-8x+14=0

Step 1: Identify a, b, and c and plug them into the quadratic formula. In this case a = 1, b = –8, and c = 14.

Step 2: Use the order of operations to simplify the quadratic formula.

Step 3: Simplify the radical, if you can. In this case you can simply the radical into:

Step 4: Reduce the problem, if you can. In this case you can reduce the entire problem by 2.

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Amiraneli [1.4K]

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2 years ago

Write y=10x as a logarithmic function please

Margaret [11]

$\bf \textit{exponential form of a logarithm}
\\\\
log_a b=y \implies a^y= b\qquad\qquad 
% exponential notation 2nd form
a^y= b\implies log_a b=y \\\\
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3 years ago

Write the slope and y-intercept of each equation.

ioda

Answer:

okay here goes.

Step-by-step explanation:

1. slope = -5 and y-intercept is (0,6)

2. slope = 3 and y-intercept is (0,-2)

3. -2 and (0,-4)

4. 8 and (0,1)

5. 5 and (0,-3)

6. -3 and (0,-9)

7. 7 and (0,2)

8. -1 and (0,6)

9. -4 and (0,7)

10. -6 and (0,-8)

11. 8 and (0,-5)

12. 9 and (0,3)

You owe me. That took a long time to write.

3 0

2 years ago

The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus.

ehidna [41]

1. Check the drawing of the rhombus ABCD in the picture attached.

2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.

3. The diagonals:
i) bisect the angles so m(ODC)=60°/2=30°

ii) are perpendicular to each other, so m(DOC)=90°

4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.

5. By the pythagorean theorem, $DO= \sqrt{ DC^{2}- OC^{2} }= \sqrt{ 6^{2}- 3^{2} }=\sqrt{ 36- 9 }=\sqrt{ 27 }= \sqrt{9*3}=$
$=\sqrt{9}* \sqrt{3} =3\sqrt{3} (in)$

6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4* $\frac{DO*OC}{2}=4 \frac{3 \sqrt{3} *3}{2}$ = $=2*9 \sqrt{3}=18 \sqrt{3}$ ( $in^{2}$ )

6 0

3 years ago

A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. Find a quadratic func

UNO [17]

Let x refers to the Month numbers
And y refers to Number of births

There is 5 steps to find the quadratic function that models the data.

First step ⇒ Plot the data pairs (x, y) in a coordinate plane.
 which are the blue circles in the attached figure

Second step ⇒ Draw the parabola you think best fits the data.
 Which is the red function in the attached figure.

Third step ⇒ Estimate the coordinates of three points on the
 parabola, which are (2, 108), (4, 68), and (6, 75).
 which are the black squares in the attached figure

Fourth step ⇒ Substitute the coordinates of the points into the model 
 y = ax2 + bx + c
 to obtain a system of three linear equations.

 4a + 2 b + c = 108 ---------(1)
 16a + 4 b + c = 68 ---------(2)
36a + 6 b + c = 75 ---------(3)

Fifth step ⇒ Solve the linear system.
 By using the calculator
 a = 5.875 , b = -55.25 , c = 195

So, the quadratic model for the data is ⇒ y = 5.875 x²- 55.25 x + 195
============================================
To predict the number of births for month 8
substitute with x = 8 ⇒ y = 5.875 * 8²- 55.25 * 8 + 195 = 129

3 0

3 years ago

Read 2 more answers

How can you solve quadratic equation in one variable using quadratic formula?​

How can you solve quadratic equation in one variable using quadratic formula?