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3 years ago

Solve using quadratic formula. 2x^2+6x+3=0

1 answer:

4 0

$x = \frac{-b +/- \sqrt{b^{2} -4ac} }{2a}$

a = 2
b = 6
c = 3

$x = \frac{-6 +/- \sqrt{6^{2} -4*2*3} }{2*2}$

$x = 0.634$ or $x = -2.366$

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kenny6666 [7]

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3 years ago

What is the slope of the line in the graph?<br><br> Options:<br> -4/3<br> -3/4<br> 3/4<br> 4/3

Marina CMI [18]

Answer:

Option 2: -¾

Step-by-step explanation:

First identify 2 points on the line.

(0, 1), (4, -2)

Substitute the coordinates into the gradient formula below:

$\boxed{gradient = \frac{y1 - y2}{x1 - x2} }$

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.

Slope of the line

$= \frac{1 - ( - 2)}{0 - 4}$

$= \frac{1 + 2}{ - 4}$

$= - \frac{3}{4}$

☆ Since the line is sloping downwards looking from the left to right, the line must have a negative slope.

6 0

3 years ago

Two thirds of a number decreased by 27 is at least 9

Vitek1552 [10]

Answer:

The mathematical statement can be written as follows

$\frac{2}{3}x-27\geq9$

which has solution as

⇒ $x\geq54$

Step-by-step explanation:

Given:

Two thirds of a number decreased by 27 is at least 9.

This statement can be transformed into a mathematical statement.

Taking the unknown number as $x$ and putting the inequality $\geq9$ as the result is at least 9.

So, we have

$\frac{2}{3}x-27\geq9$

Adding 27 both sides

$\frac{2}{3}x-27+27\geq 9+27$

$\frac{2}{3}x\geq 36$

Multiplying both sides by 3.

$3\times\frac{2}{3}x\geq 36\times 3$

$2x\geq108$

Dividing both sides by 2.

$\frac{2x}{2}\geq\frac{108}{2}$

∴ $x\geq54$

5 0

3 years ago

Larry and dona bought a sofa at sale price of 1,344. The original price of the sofa was 1,920. Find the discount rate?

Triss [41]

Answer:

30% discount

Step-by-step explanation:

Given that,

the sale price of sofa larry and dona bought = 1,344

the original price of sofa before discount = 1,920

<h2>Discount rate Calculation</h2><h3>Discount = Marked Price - Selling Price</h3>

Discount = 1920 - 1344

Discount = 576

<h3>Discount percentage = Discount/Marked Price × 100%</h3>

Discount percentage = 576 / 1920 × 100%

Discount percentage = 3/10 × 100%

Discount percentage = 30%

So, the discount rate on sofa which larry and dona bought is 30%

3 0

3 years ago

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dlinn [17]

Answer:

prc

Step-by-step explanation:

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3 years ago

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