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2 years ago

Create an equation that has exactly one real solution. 6(3x+4)-x=_x+3

Mathematics

1 answer:

OleMash [197]2 years ago

3 0

Answer:

$x(x+5)=x^2-3x+8$

Step-by-step explanation:

There are infinite cases of equations with exactly one real solution. To create something worth the space, this one should suffice

$x(x+5)=x^2-3x+8$

Operating

$x^2+5x=x^2-3x+8$

Simplifying

$5x=-3x+8$

Joining like terms

$8x=8$

Solving

x=1

Testing the result

$1(1+5)=1^2-3(1)+8=>6=6$

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A man buys a washing machine whose price VAT (value added Tax ) is Birr 175. lts VAT is charged at 15 % ,how much did the man ac

Ad libitum [116K]

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Answer:

Birr 1341.67

Step-by-step explanation:

The tax is 15% of the price (p), so we have ...

0.15p = 175

p = 175/0.15 = 1166.67

When the tax is added, the total comes to ...

1166.67 +175 = 1341.67

The man actually paid Birr 1341.67.

5 0

2 years ago

A grocery store estimates that customers arrive at the rate of 15 per hour. The cashier can serve customers at a rate 20 per hou

IrinaK [193]

Answer:

3 customers

Step-by-step explanation:

Rate of arrival (λ) = 15 per hour

Service rate (μ) = 20 per hour

The number of customers in a system given the arrival rate and the mean service rate is given by:

$N = \frac{\lambda}{\mu-\lambda}\\$

Applying the given data:

$N = \frac{15}{20-5}\\N=3\ customers$

The average number of customers in the system is 3 customers.

6 0

2 years ago

Completely Factor the expression -18 P - 9

jekas [21]

can i have brainliest pls tyyy :)))

Answer:

-9(2p+1)

Step-by-step explanation:

-18p - 9

find the GCF (greatest common factor) for the expression.

-9

then, divide each term by the GCF

-18p / -9 -9 / -9

= 2p = 1

next, put the two terms you get when dividing into the final form of the answer:

GCF on the outside and quotients on the inside

-9(2p+1)

hope this helped! ;)

5 0

3 years ago

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mina [271]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?

Cloud [144]

Answer:

D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

$2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}$

A line placed in slope-intercept form is represented by the formula $y = mx + b$ . The $m$ , or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.

2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

Use the point-slope formula $y-y_1 = m (x-x_1)$ and substitute values for $m$ , $x_1$ , and $y_1$ . Since $m$ represents the slope of the line, substitute 2 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

$y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2$

So, option D is correct.

7 0

3 years ago