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3 years ago

-3x+8=y solve for if the equation is a function or non function

Mathematics

1 answer:

Ket [755]3 years ago

7 0

Answer:

The equation is a function

Step-by-step explanation:

-3x + 8 = y

Reverse the function.

y = -3x + 8

Draw a graph of y vs x (below)

To determine if the relation is a function, we can use the vertical line test:

If a vertical line crosses the graph more than once in any location, the relation is not a function.

We see that at no place will a vertical line intersect the graph more than once.

The relation is a function.

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Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

<em>Find the value of y</em>

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

4 years ago

If the diameter of the circle is 6 cm, find its circumference. [Use 3.14 for π.] A) 18.84 cm B) 25.12 cm C) 37.68 cm D) 50.24 cm

agasfer [191]

Circumference = π * d

π=3.14
diameter = 6

3.14 * 6 = 18.84.
The answer is A.

Hope this helped☺☺

7 0

3 years ago

Read 2 more answers

6. slope = 9, (-5, 2) no links or bots please

Arada [10]

Answer: y= 9x -5

Step-by-step explanation:

3 0

2 years ago

Least to greatest 2.3 2 4/5 2.6

Volgvan

2.3 is smaller than 2.6: we can see it just by looking at the digits from left to right.

now, where does 2 $\frac{4}{5}$ stand?

its fraction part is equal to

$\frac{4*2}{5*2}= \frac{8}{10}$

do that means that 2 $\frac{4}{5}$ =2.8

which is bigger than 2.6

so the final order is

2.3 2.6 2 $\frac{4}{5}$

5 0

3 years ago

Given: angle ABD is congruent to angle DBC are complementary

nadya68 [22]

Answer:

∠ABD ≅ ∠DBC - Given.

∠ABD and ∠DBC are complimentary angles - Given.

∠ABD + ∠DBC = 90° - Definition of complimentary angles.

∠ABD + ∠DBC = ∠ABC - Angle addition postulate.

∠ABC = 90° - Substitution property.

∠ABC is a right angle - Definition of a right angle.

~Hope this helps!~

5 0

3 years ago