What is 4 1/4 * 4/34 =

line pass through the line (-3, -7.5)tahila determined that the equation of line n is y=0.5x explain the error tahila made while

Tasya [4]

The equation of the line will be (assuming the y-intercept equal to zero):

y = 2.5*x

<h3>What is Tahila's mistake?</h3>

We know that we have a linear equation of the form:

y = a*x + b

Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:

y = 0.5*x

If you evaluate that in -3, you get:

y = 0.5*-3 = -1.5

So this line does not pass through (-3, -7.5).

If we assume that b = 0 in the linear equation, then we can find the value of a as:

-7.5 = a*-3

a = 7.5/3 = 2.5

Then the linear equation is:

y = 2.5*x

If you want to learn more about linear equations:

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4 0

1 year ago

dan can clean an attic in 13 hours. Imani can clean the same attic in 14 hours. Find how long it would take them if they worked

monitta

13.5

14+13=27
27÷2=13.5

7 0

3 years ago

(Q1) Which of the following is true about the function y = 3 • 2x?

Virty [35]

Answer: Third option

Step-by-step explanation:

You have the function:

$y=3*2^x$

Then, if the value of x increases by 1, you obtain:

-Rewrite the function:

$y=3*2^{(x+1)}$

-Substitute values for x into the function and observe what happen to y. Then:

x=1

$y=3*2^{(1+1)}=12$

x=2

$y=3*2^{(2+1)}=24$

x=3

$y=3*2^{(3+1)}=48$

The value of y is doubled.

6 0

3 years ago

Read 2 more answers

Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic exp

ycow [4]

Answer: The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

<em>Number of boys added: 18 </em>
<em>Ratio of boys to girls: 5:4 </em>

So, the total number of boys is:

x + 18

Number of girls = y

Number of boys / number of girls = 5/4

(x+18) /y = 5/4

Solving for "y"

4 (x +18) =5 y

4x +72 = 5y

(4x +72) /5 = y

The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

8 0

3 years ago

In 2012, a health insurance plan for a 35-year-old and his or her spouse costs $301 per month. That rate increased to $430 p

katrin2010 [14]

Answer: See explanation

Step-by-step explanation:

Let the cost for insuring the applicant = a.

Let the cost for insuring the spouse = b

Let the cost for insuring the first child= c

Let the cost for insuring the second child = d

A 35-year-old health insurance plan and that of his or her spouse costs $301 per month. This means that:

a + b = $301.

That rate increased to $430 per month if a child were included. This means the cost of a child will be:

= $430 - $301

= $129

The rate increased to $538 per month if two children were included. This means the cost for the second child will be:

= $538 - $430

= $108

The rate dropped to $269 per month for just the applicant and one child. His will be the cost of the applicant and a single child. This can be written as:

a + $129 = $269

a = $269 - $129

a = $140

Since a + b = $301

$140 + b = $301

b = $301 - $140

b = $161

Applicant = $140

The spouse = $161

The first child = $129

The second child = $108

3 0

2 years ago