All categories

3 years ago

Which of the following equations represent linear functions?

1 answer:

3 0

4x+y=5 or b is the correct answer:) Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

You might be interested in

Find the standard form of the equation of the circle with endpoints of a diameter at the points (3,8) and (-7,2)

poizon [28]

$(x+2)^{2}$ + $(y-5)^{2}$ = 34

The equation of a circle in standard form is

$(x-a)^{2}$ + $(y-b)^{2}$ = $r^{2}$

where (a , b) are the coordinates of the centre and r is the radius

The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints

Using the midpoint formula

midpoint = [ $\frac{1}{2}$ (x $x_{1}$ + $x_{2}$ , $\frac{1}{2}$ ( $y_{1}$ + $y_{2}$

where ( $x_{1}$ , $y_{1}$ =(3,8) and ( $x_{2}$ , $y_{2}$ =(-7,2)

centre = ( $\frac{1}{2}$ (3-7), $\frac{1}{2}$ (8+2)) = (-2,5)

Calculate r using the distance formula

r = √( $x_{2}$ - $x_{1}$ )²+( $y_{2}$ - $y_{1}$ )²)

= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34

equation of circle is : (x+2)²+(y-5)² = 34

8 0

3 years ago

The distance between City A and City B is 250 miles. A length of 2.3 feet represents this distance on a certain wall map. City C

masya89 [10]

The distance between city C and city D is 450 miles.

<u>Solution:</u>

Given, The distance between City A and City B is 250 miles.

A length of 2.3 feet represents this distance on a certain wall map.

City C and City D are 4.14 feet apart on this map.

We have to find what is the actual distance between City C and City D?

Now, distance between a and b is 250 miles ⇒ 2.3 feet on map

Then, distance between c and d be n miles ⇒ 4.14 feet on map.

Now, by chris cross method.

250 x 4.14 = 2.3 x n miles.

2.3n = 1035

n = 450

Hence, the distance between city C and city D is 450 miles.

8 0

3 years ago

A certain region of a country houses 1/178 of the total number of libraries in the country. If there are about 10680 libraries i

expeople1 [14]

Answer:

poop

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Quantity (Bottles of Cleanser) Cost

seraphim [82]

Answer:

D. 8 bottles

Step-by-step explanation:

one bottle of one is obviously $6.50

one bottle of two : $12.50 (1/2) = $6.25

one bottle of four: $26.00 (1/4) = $6.50

one bottle of six: $30.00 (1/6) = $5.00

one bottle of eight: $38.00 (1/8) = $4.75

8 bottles is the best buy

3 0

3 years ago

Read 2 more answers

What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)?

rusak2 [61]

Answer:

The equation for the given line is y − 1 = 4(x + 3). Let us convert this equation in slope intercept form y= mx +b, where m is slope and b is the y-intercept. Thus, the slope of this line is 4.Now, we know that the slope of parallel lines are equal. Hence, the slope of the required line is same as the slope of the given line. Hence, the slope of the required line is m = 4It passes through the point (4,32).The point slope form of a line is given by Therefore the equation of the line is y = 4x+16,D is the correct option.

3 0

3 years ago