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3 years ago

What are the domain and range of the function on the graph

1 answer:

5 0

To find the domain, solve the inequality 4 - x > 0. x < 4. Thus, all numbers less than or equal to 4 represent thedomain for this function. When trying to find the domain and range from a graph, the domain is found by looking at the graph from left to right.

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This year a small business had a total revenue of 48,300 if this is 38% more than their total revenue the previous year what was

riadik2000 [5.3K]

Answer:

$48,300

100 + 38% = 138% or 1.38

$48,300 / 1.38 = $35,000

Check:

$35,000 * 1.38 = $48,300

$35,000 * .38 = $13,300 (raise) + salary $35,000 = $48,300

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Simplify 12n-2n⁴-10n-2n⁴+n a. 4n⁴+3n b. 3n c. -4n⁴+3n d. -n¹¹

Serjik [45]

The answer is C. -4n⁴+3n.

Separate the expression by its like terms.

12n-2n⁴-10n-2n⁴+n

12n+(-10n)+n=3n

-2n⁴+-2n⁴=-4n⁴

The simplified expression comes out to -4n⁴+3n.

3 0

3 years ago

Read 2 more answers

Sales Daria sells televisions. She earns a fixed amount for each television and an additional $25 if the buyer gets an extended

aliina [53]

Answer: Daria earns a fixed amount of $55 for each television.
Step-by-step explanation:
Let a represent the fixed amount that Daria earns for each television.
Daria earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. This means that if she sells b televisions with extended warranties, the total amount that she would earn is
ab + 25b
If Daria sells 14 televisions with extended warranties,she earns $1,120. Therefore,
14a + 14 × 25 = 1120
14a + 350 = 1120
14a = 1120 - 350
14a = 770
a = 770/14
a = 55

5 0

3 years ago

(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y

a_sh-v [17]

Answer:

The equation of the line is $y=45.25t+545$

Step-by-step explanation:

The general for of a line is:

$y=mt+n$ (1)

where:

$m$ is the slope of the line and $m$ is the intercept with the axis of the dependent variable, $y$ in this case.

In order to obtain the value of the slope ( $m$ ) we can use the corresponding slope formula:

$m=\frac{y_{2}-y_1 }{t_2-t_1}$ (2)

where $t_1, t_2, y_1$ and $y_2$ are the corresponding coordinates of the given points. In this case:

$t_1=0\\t_2=4\\y_1=545\\y_2=726\\$

Substituting these values in equation (2) we obtain:

$m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25$

Hence, the line equation is now:

$y=45.25t+n$ (3)

Now to obtain the value of $n$ you can follow two options:

You can substitute one of your points, $A$ or $B$ , in equation (3). In this way, you will obtain an equation where the variable is $n$

Note that for this question, it is easier to select point A because of having the independent variable equals to zero $t=0$ . Hence, substituting point A in equation (3):

$45.25*0+n=545\\n=545$

Therefore, the line equation is: $y=45.25t+545$

The second option to find $n$ is to think of the meaning of the intercept. The intercept of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that $n$ is equal to $545$ .

See the attachment for a plot of the line.

7 0

3 years ago

Which point on the graph below is included in the solution to the following system of equations?

monitta

Answer:

D(-7,-2)

Step-by-step explanation:

A(-4,3) B(5,-1) C(-2,-6) D(-7,-2)

A: 5×(-4) + 6×3 = -2 ≥ -30 ..... No

B: 2/3×5 + 1 =4.33 ≥ -1 ....No

C: -6 ≤ 2/3×-2 +1 ....No

D: 2/3×(-7)+1 = 2.333 ≤ -2

5×(-7) + 6×(-2) = -47 ≤ -30 ......Yes

5 0

3 years ago