All categories

3 years ago

given the following linear function sketch the graph of the function and find the domain and range. f(x)=-5x+4

Mathematics

1 answer:

velikii [3]3 years ago

5 0

It's a linear function. We need only two points to sketch the graph.

f(x) = -5x + 4 → y = -5x + 4

for x = 0 → y = -5(0) + 4 = 0 + 4 = 4 → (0, 4)

for x = 1 → y= -5(1) + 4 = -5 + 4 = -1 → (1, -1)

The domain and the range is the set of all real numbers.

You might be interested in

A motorboat takes 3 hours to take a 60 mile trip downstream. It takes 5 hours to make the same trip upstream. Let x represent th

Leni [432]

THE RATE OF THE BOAT BELOW IS 5: 100

5 0

2 years ago

Find the explicit formula that produces the given sequence. <br> 3/2, 3/4, 3/8, 3/16,...

lara [203]

$\frac{3}{2};\ \frac{3}{4};\ \frac{3}{8};\ \frac{3}{16};\ ...\\\\a_1=\frac{3}{2}\\\\a_2=\frac{3}{4}=\frac{3}{2}\cdot\frac{1}{2}\\\\a_3=\frac{3}{8}=\frac{3}{4}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^2\\\\a_4=\frac{3}{16}=\frac{3}{8}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^3\\\vdots$
$a_n=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{n-1}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{-1}\cdot\left(\frac{1}{2}\right)^n=\frac{3}{2}\cdot2\cdot\left(\frac{1}{2}\right)^n=3\cdot\left(\frac{1}{2}\right)^n$

7 0

2 years ago

Question

maria [59]

Answer:

He needs 16 ounces of raisins and 8 ounces of nuts

Step-by-step explanation:

Let

x -----> the number of ounces of raisins

y -----> the number of ounces of nuts

we know that

x+y=24 -----> equation A

x=2y -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

(2y)+y=24

3y=24

y=8 ounces of nuts

Find the value of x

x=2(8)=16 ounces of raisins

therefore

He needs 16 ounces of raisins and 8 ounces of nuts

8 0

2 years ago

Read 2 more answers

An acute angle measures less than π/2 but greater than 0

Ivenika [448]

If you're looking for an angle in between those, basically you have to choose an angle between 0 and 90°. any angle should work (such as 15°, 45°, 60°, 75°, etc.)

8 0

3 years ago

Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can che

Andreas93 [3]

Answer:

4x-6

Step-by-step explanation:

Two times 2 equals 4 and 2 times 3 equals 6

5 0

3 years ago

Read 2 more answers