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3 years ago

Solve each equation using the Quadra1. 4x2 +1 1x - 20=0

Mathematics

2 answers:

Maslowich3 years ago

6 0

Answer:

{-4, 5/4}

Step-by-step explanation:

Note: most Brainly users don't have access to Quadra 1, so you may as well omit that when you post a question.

By "4x2 +1 1x - 20=0" I assume you meant 4x^2 +11x - 20=0 (11, not 1 1, and use " ^ " to denote exponentiation, please).

Here I will use the quadratic formula. Here, a = 4, b = 11 and c = -20, so the discriminant is

b²-4ac = 121 - 4(4)(-20), or 121 + 320, or 441.

Since this is positive, the quadratic has two unequal, real roots.

- 11 ± √441

The roots are x = ------------------

2(4)

-11 ± 21

or x = ------------ → x = 10/8 or x = 5/4; also x = -32/8 or x = -4.

The roots are {-4, 5/4}

Tatiana [17]3 years ago

4 0

Answer:

x= 12/11

Step-by-step explanation:

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shutvik [7]

Given:

The limit problem is:

$\lim_{x\to 3}(x^2+8x-2)$

To find:

The limit of the function by using direct substitution.

Solution:

We have,

$\lim_{x\to 3}(x^2+8x-2)$

Applying limit, we get

$\lim_{x\to 3}(x^2+8x-2)=(3)^2+8(3)-2$

$\lim_{x\to 3}(x^2+8x-2)=9+24-2$

$\lim_{x\to 3}(x^2+8x-2)=33-2$

$\lim_{x\to 3}(x^2+8x-2)=31$

Therefore, the correct option is D.

4 0

3 years ago

Deijah gave Isaiah $6.25 in nickels and quarters. If 12 coins were quarters, how many coins were nickels? Which equation models

dem82 [27]

Deijah has $6.25.

Now, this 6.25 is comprised of 0.05s and 0.25s.
We know that there are 12 0.25s.

We now want to know how many remaining 0.05s there are.

Again, we know that the number of 0.05s he has, which is 12, multiplied by 0.05, plus the number of 0.25s he has, multiplied by 0.25, equals 6.25.

Thus, the answer is A, 0.25 x 12 + 0.05 x n = 6.25.

4 0

3 years ago

The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x + y

Ivahew [28]

The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is

(x - x^2)^2 * sqrt(3)/4.

Integrating from x = 0 to x = 1, we have

[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4

= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144.

Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...

8 0

4 years ago

Three of the choices are ways to express 0.50. Which is NOT?

Ganezh [65]

Option B

5 hundredths is not the way to express 0.50

<h3><u>Solution:</u></h3>

Given that Three of the choices are ways to express 0.50

To find: wrong option

Let us first write 0.50 in different ways

<h3><em><u>To convert a Decimal to a Fraction follow these steps: </u></em></h3>

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction.

$\rightarrow 0.50 = \frac{0.50 \times 100}{100} = \frac{50}{100}$

$\frac{50}{100}$ means 50 hundredths

<h3>Therefore option D is correct</h3>

On simplifying $\frac{50}{100}$ we can write,

$\rightarrow \frac{50}{100} = \frac{5}{10} = \frac{1}{2}$

$\frac{1}{2}$ means one half

<h3>Therefore option A (one half) is correct</h3>

Similarly, \frac{5}{10} means 5 tenths

<h3>Therefore Option C is also correct</h3>

Thus the wrong option is B

<em><u>Justification:</u></em>

5 hundredths can be written as:

$\frac{5}{100} = 0.05$

Therefore option B is wrong

5 0

3 years ago

Inequality As a sales person you are paid $50.00 per week plus $3.00 per sale

GarryVolchara [31]

Answer:

Weekly pay = 3x + 50

Step-by-step explanation:

x is the number of sales made during the week

5 0

3 years ago

Solve each equation using the Quadra1. 4x2 +1 1x - 20=0​

Solve each equation using the Quadra1. 4x2 +1 1x - 20=0