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3 years ago

The equation of a straight line is 3x+2y=18

Mathematics

2 answers:

Orlov [11]3 years ago

8 0

Answer:

(6,9)..it crosses the x-axis at point 6

Step-by-step explanation:

3x+2y=18

First find the x and y intercept

a) To find x intercept, let y=0

which is 3x+2(0)=18

3x+0=18

3x=18..... divide both sides by 3

x=6

b) To find y intercept, let x=0

which is 3(0)+2y=18

0+2y=18

2y=18...... divide both sides by 2

y=9

Mashcka [7]3 years ago

6 0

The point where the line crosses the x-axis is (6,9).

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An airline company is considering a new policy of booking as many as 191 persons on an airplane that can seat only 180. (Past st

notka56 [123]

Answer:

1.3559644*10^-^5

Step-by-step explanation:

From the information given we extract the following data

Total Number of Trials (N) = 191

Required Value (x) = 181 (notice it is not 180 since at that value we have enough passengers)

Odds of success (p) = 0.85

Using the binomial formula for calculating probability, i.e.

$P(x; N, p) = nCx * p^x *(1-p)^{N-x}$

Inputting the values

$P(181; 191, 0.85) = 191C181 *0.85^{181} *(1-0.85)^{191-181} \\ P(181; 191, 0.85) = 1.3559644*10^-^5$

3 0

3 years ago

Jasmine buys 3 T-Shirts and 3 Hats for $11.25. The next day, he buys 4 T-Shirts and 2 Hats for $10. How much does each T-Shirt a

leonid [27]

Answer: Each shirt costs $1.25, and each hat costs $2.5.

Step-by-step explanation:

Let x= Cost per T-shirt, y = Cost per Hat.

As per given,

3x+3y=11.25 (i)

4x+2y=10 (ii)

Multiply 4 to equation (i)

12x+12y=45 (iii)

12x+6y= 30 (iv)

Eliminate (iv) from (iii), we get

6y= 15

⇒ y = 2.5

Put value of y in (i)

3x+3(2.5)=11.25

⇒3x+7.5=11.25

⇒3x= 3.75

⇒x= 1.25

Hence, each shirt costs $1.25, and each hat costs $2.5.

8 0

3 years ago

What do all members of the family of linear functions f(x)=1m(x+3) have in common?

dsp73

All linear functions have in common...
1. Their highest exponent is 1.
2. The graphs of the equations are lines.

When finding things in common between different types of functions, you always have to look at the two sides of math; geometry and algebra. Geometry is all the graphs, and algebra is the equations.

I hope this helps!

7 0

4 years ago

Today only, a desk is being sold at a 33% discount. The sale price is $268. What was the price yesterday?

Serga [27]

Discount percent = 33%

Sale price = $268

Let the original price be $x.

So,

$x - (33\% \: of \: x) = 268 \\ = > x - ( \frac{33}{100} \times x) = 268 \\ = > x - ( \frac{33x}{100}) = 268 \\ = > \frac{100x}{100} - \frac{33x}{100} = 268 \\ = > \frac{(100x - 33x)}{100} = 268 \\ = > \frac{67x}{100} = 268 \\ = > 67x = 268 \times 100 \\ = > 67x = 26800 \\ = > x = \frac{26800}{67} \\ = > x = 400$