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3 years ago

13. Solve the equation: y = 4x + ax + 6 for a.

Mathematics

1 answer:

I am Lyosha [343]3 years ago

4 0

Answer:

a= (y-4x-6)/X

Step-by-step explanation:

Make ax the subject of the formulae

-ax=4x+6-y

Multiply both sides by minus (-)

ax= y-4x-6

Divide both sides by x

a= (y-4x-6)/x

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It takes a new mail carrier 4 hours to deliver the mail on route a. It takes an experienced mail carrier 3 hours to do the same

Pani-rosa [81]

Answer: $\frac{12}{7}\ \text{hours}$

Step-by-step explanation:

Given

New mail carrier takes 4 hours for delivery i.e.

New mail carrier completes $\frac{1}{4}$ part of work in 1 hour

Old mail carrier takes 3 hours for delivery i.e.

mail carrier completes $\frac{1}{3}$ part of work in 1 hour

If they work together, they complete the work in x hours i.e.

$\Rightarrow \dfrac{1}{x}=\dfrac{1}{4}+\dfrac{1}{3}\\\Rightarrow \dfrac{1}{x}=\dfrac{3+4}{12}\\\Rightarrow x=\dfrac{12}{7}\ \text{hours}$

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3 years ago

What is the constant of proportionality in the equation y = 5/9 x ?

Mazyrski [523]

The constant of proportionality is 5/9

y= kx where k is the constant of proportionality

y = 5/9 x

k = 5/9

6 0

2 years ago

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

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3 years ago

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Jericho takes 3 tests in one month. The number of correct answers and the total

Delvig [45]

Answer:

you need to show the table for this question to get solved

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2 years ago

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A letter of application is intended to

Travka [436]

I found the options online. I will state them and provide the answer.

OPTIONS
<span>A. find out what the prospective employer has to offer.
B. outline your value to a prospective employer.
C. accompany your portfolio.
D. remind the prospective employer of your recent interview.
</span>
ANSWER.
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8 0

3 years ago