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2 years ago

When the price of Xis RM4 and the price of Y is RM10, which of the following combinations would be the intercept of axes

Mathematics

1 answer:

ss7ja [257]2 years ago

4 0

I would say C but I’m not completely 100% sure

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago

Gloria has 11 markers in a backpack. One of them is purple and one is gray. Find the probability Gloria will reach into the back

SCORPION-xisa [38]

Answer:

Step-by-step explanation:

She has 1 in 11 chances of getting the purple one

One of her choices is gone after she takes out the purple one. She has a 1 in 10 chance of taking out the gray one.

1/11 * 1/10 = 1/110

8 0

3 years ago

Determine the measures of the angles requested using the picture below.

lapo4ka [179]

SHDJJEHEH shdhshshshshduvuvuvububuyb

5 0

3 years ago

Find the measure of < 1. m < 1 = degrees

Furkat [3]

<1 = 120/2 = 60

answer
60 degrees

8 0

3 years ago

What is 38 percent of 22 (In percentage) :)

Leona [35]

Answer:

6.6%

Step-by-step explanation:

30% of 22 is 6.6%

Feel free to give brainliest.

Have an awesome day!

6 0

2 years ago

Read 2 more answers