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3 years ago

Does the graph represent a function and if so, why?

Mathematics

1 answer:

hichkok12 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output

Here we have more than one output for one input:

x=-1 => y= -1, 0, 1
x= 1 => y= 1, 2, 3

So this is not a function

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Mis Meyer's paid $3600 all together for the equipment, furniture and decorations for her restaurant. The equipment cost $500 mor

Tju [1.3M]

Answer:

The equipment will cost $1740.

Step-by-step explanation:

Let the Cost of equipment, furniture and decoration be x, y and z.

Now, According to question,

x + y + z = 3600 ...... (1) (cost of all items)

x = 500 + y (∵ equipment cost 500 more than furniture)

and y = 2z ( ∵ furniture twice as much as decoration)

so, z = y/2

Now substituting the value of x and z in eq (1)

$x + y + z = 3600$

$500 + y + y + \frac{y}{2} = 3600$

$2y + \frac{y}{2} = 3600 - 500$

$\frac{5y}{2} = 3100$

$y = \frac{3100\times 2}{5} = 1240$

So, the cost of furniture (y) = 1240

∴ Cost of equipment = y + 500 = 1240 + 500 = 1740

Therefore the cost of equipment was $1740.

3 0

3 years ago

Angelo runs 7 miles per week and increases his distance by 1 mile each week. Marc runs 4 miles per week and increases his distan

Umnica [9.8K]

Answer:

Step-by-step explanation:

You have to set each runner's plan equal to each other because they are equal in the end. You start with 7 miles for Angelo and 4 miles for Marc.

x is a variable that is multiplied by the number of weeks it takes for both runners' distances to be equal. So multiply x by the miles increased every week.

Marc = Angelo

2x + 4 = x + 7

x = 3

In 3 weeks each runner will run 10 miles for the week.

4 0

3 years ago

On a scale drawing, a bicycle is 6 4/5 inches tall. The scale factor is 1/6. Find the height of the bicycle

Fantom [35]

The height will be six times what is on the drawing.

6 4/5 x 6 = 36 24/5 = 40 4/5 inches tall.

3 0

3 years ago

Can someone please help me with this?

dsp73

Answer:

$S_{13}$ = 403

Step-by-step explanation:

the sum to n terms of an arithmetic series is

$S_{n}$ = $\frac{n}{2}$ (a + l) ← a is the first term and l the last term

here a = - 5 and l = 67 , then

$S_{13}$ = $\frac{13}{2}$ (- 5 + 67) = 6.5 × 62 = 403

3 0

2 years ago

The expression i/pt represents the rate of instrest being charged if a loan of p dollars for t years required i dollars in intre

zysi [14]

Answer:

7.3%

Step-by-step explanation:

Given:

<em>Formula for Rate of interest </em> $R$ :

$R=\dfrac{i}{Pt}$

Where $i$ is the rate of interest.

$P$ dollars is the loan and

$t$ years is the time for which interest is to be paid

$P =\$690\\t=3\ years\\i=\$151.11$

To find:

$R=?$

Solution:

Putting the given values in the formula:

$R=\dfrac{151.11}{690 \times 3}\\\Rightarrow R=\dfrac{151.11}{2070}\\\Rightarrow R=0.073$

Multiply the above value with 100 to find the percentage.

i.e.

$R=0.073\times 100 = \bold{7.3\%}$

Therefore, the answer is <em>7.3%</em>

8 0

3 years ago