All categories

3 years ago

6. a. Ir.) : (x ) is a point on a line passing through (2.3) and (4.5) What is the range?

Mathematics

1 answer:

Fed [463]3 years ago

3 0

This is a linear function which means that there is no restrictions on domain and range. The range is all real numbers.

You might be interested in

If 30 buses can carry 1,500 people, how many people can 5 buses carry? A 200 © 500 B 250 D 750

maksim [4K]

Answer:

$\boxed {\boxed {\sf 250 \ people}}$

Step-by-step explanation:

Let's set up a proportion using the following setup.

$\frac {buses}{people}=\frac {buses}{people}$

We know 30 buses can carry 1,500 people.

$\frac {30 \ buses}{1500 \ people}=\frac {buses}{people}$

We don't know how many people 5 buses can carry, so we say 5 buses carry x people.

$\frac {30 \ buses}{1500 \ people}=\frac {5 \ buses}{x \ people}$

$\frac {30 }{1500 }=\frac {5 }{x }$

Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.

$30*x=1500*5\\30x=7500$

Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.

$30x/30=7500\\x=250$

5 buses can carry 250 people.

7 0

3 years ago

Help!!

Elza [17]

Answer:

$(b)\ 2x - 9 = -1$

$(c)\ -2x + 12 = 4$

$(e)\ 2(x - 10) = -12$

Step-by-step explanation:

Required

Which equals $x = 4$

$(a)\ 2x + 6 = 2$

Collect like terms

$2x = 2 - 6$

$2x = -4$

Divide both sides by 2

$x = -2$

$(b)\ 2x - 9 = -1$

Collect like terms

$2x = -1 + 9$

$2x = 8$

Divide both sides by 2

$x = 4$

$(c)\ -2x + 12 = 4$

Collect like terms

$-2x =- 12 + 4$

$-2x =-8$

Divide both sides by -2

$x = 4$

$(d)\ 2(x + 2) = 10$

Divide both sides by 2

$x + 2 =5$

Collect like terms

$x = 5-2$

$x = 3$

$(e)\ 2(x - 10) = -12$

Divide both sides by 2

$x - 10 = -6$

Collect like terms

$x = 10 - 6$

$x = 4$

Hence, the equations with the required solution are:

$(b)\ 2x - 9 = -1$

$(c)\ -2x + 12 = 4$

$(e)\ 2(x - 10) = -12$

3 0

2 years ago

Pears cost $0.92 per pound and apples cost $1.10 per pound. mr.Bonilla bought 3.75 pounds of pairs and 2.1 pounds of apples how

eimsori [14]

Answer:

$5.76

Step-by-step explanation:

Total price for 3.75 pounds of pears:

$0.92(3.75) = $3.45$

Total price for 2.10 pounds of pears:

$1.10(2.10) = $2.31$

Total Price:

$$2.31 + $3.45 = $5.76$

4 0

3 years ago

If Jill is selling lemonade for $1.50 per cup on Tuesday. On Wednesday she is selling the lemonade for the same price and sells

Molodets [167]

Answer:

Jill make $18 on Wednesday

Step-by-step explanation:

Given :Jill is selling lemonade for $1.50 per cup on Tuesday.

To Find :On Wednesday she is selling the lemonade for the same price and sells 12 cups. How much money did she make on Wednesday?

Solution:

Jill is selling lemonade for $1.50 per cup on Tuesday.

Cost of 1 cup of lemonade = $1.5

Cost of 12 cups of lemonade = $1.5 \times 12 =$18$

Hence She make $18 on Wednesday

4 0

3 years ago

The sides of a rectangular field are

Lyrx [107]

Answer:

Step-by-step explanation

Perimeter of a rectangle =2(length +breadth)

90m = 2{(36x+2) + (2(x+2)}

Opening the inner brackets,

90 = 2{36x +2+2x +4}

90 = 2{38x +6}

Open the brackets

90 = 76x + 12

Collect like terms

90 - 12 = 76x

78=76x

Divide 78 by the coefficient of x

x = 78÷76

x =1.03m (2d.p)

Substitute the value of x into the expressions for the two sides of the rectangle

36x+2 =(36×1.03) +2= 37.08+2=39.08m

2(x+2)= 2(1.03+2)= 2(3.03) =2×3.03= 6.06m

The approximate values of the two sides of d rectangular field are 39.08m and 6.06m

7 0

3 years ago