All categories

3 years ago

How many solutions does the following equation have ? −3x+9−2x=−12−5x

1 answer:

7 0

$\text{Solve for x:}\\\\-3x+9-2x=-12-5x\\\\\text{Combine like terms}\\\\-5x+9=-12-5x\\\\\text{Add 5x to both sides}\\\\9=-12\\\\\text{Since that's not valid, there would be no solutions}\\\\\boxed{\text{No solutions}}$

You might be interested in

185% as a fraction in simplest form

Reika [66]

185% = 185/100

185/100 = 37/20

The simplest form fraction of 185% is 37/20.

8 0

3 years ago

Chris can be paid in one of two ways. Plan A is a salary of $490 per month, plus a commission of 9% of sales. Plan B is a sal

skad [1K]

Answer:

$390+0.07s=$544+0.05s Subtract $390 from each side.

0.07s=$154+0.05s Subtract 0.05s from each side.

0.02s=$154 Divide each side by 0.02.

s=$7700 Both plans pay the same when sales=$7700

ANSWER With sales greater than $7700, Chris is better off with Plan A.

5 0

3 years ago

Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

$m=\frac{6-4}{3+3}$

$m=\frac{2}{6}$

simplify

$m_a=\frac{1}{3}$

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

$m=\frac{3+3}{-8+10}$

$m=\frac{6}{2}$

$m_b=3$

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

$m=\frac{-4-5}{3-0}$

$m=\frac{-9}{3}$

$m_c=-3$

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

$m=\frac{-4+7}{13-4}$

$m=\frac{3}{9}$

simplify

$m_d=\frac{1}{3}$

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

$m_a=\frac{1}{3}$

$m_b=3$

$m_c=-3$

$m_d=\frac{1}{3}$

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

6 0

3 years ago

Calculate the perimeter

evablogger [386]

Answer:

Step-by-step explanation:

You use Pythagorean Theorem to to find the missing side which in this case is 6 and since and then from there you just add

5 0

3 years ago

Read 2 more answers

Please help me );

ASHA 777 [7]

Answer:

$f(x)=x^2$

$h(x)=(x+5)^2$

To find:

The graph of h(x) using the graph of f(x).

Solution:

We have,

$f(x)=x^2$

It a parent quadratic function. The graph of this function is an upward parabola with vertex at origin, i.e., (0,0).

Now,

$h(x)=(x+5)^2$

It can be written as

$h(x)=f(x+5)$ $[\because f(x)=x^2]$

It means, the graph of f(x) shifted 5 units left to get the graph of h(x)

Therefore, the graph of both functions are shown below.

4 0

3 years ago