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3 years ago

12

At the end of a summer sale, an air conditioner that originally sold d for 350 was on sale at a discount of 30%. What was the sa

le price?

1 answer:

Sonja [21]3 years ago

3 0

So the first step is 1.) 350*0.30=105
step 2) they said discount the discount mean is like spent spent is like (-)
so you do this 350-105=245
so the answer is {245}

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Find the inverse of the function y = x2 - 12.

Semmy [17]

Good evening ,

Answer:

The inverse of the function y = x² - 12 is

x = √(y + 12)

Step-by-step explanation:

for y ≥ -12 :

x² - 12 = y ⇔ x² = y + 12 ⇔ x = √(y + 12).

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3 years ago

Write the equation of the line that passes through the points

sesenic [268]

Answer:

$y+5=2(x-3)$ or $y+9=2(x-1)$

Step-by-step explanation:

step 1

Find the slope of the line

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

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

we have the ordered pairs

(3,-5) and (1,-9)

substitute the values

$m=\frac{-9+5}{1-3}$

$m=\frac{-4}{-2}$

$m=2$

step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

Analyze two cases

<em>First case</em>

we have

$m=2$

$point\ (3,-5)$

substitute

$y+5=2(x-3)$

<em>Second case</em>

we have

$m=2$

$point\ (1,-9)$

substitute

$y+9=2(x-1)$

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

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3 years ago

Given the parent function f(x) = 8x + 9, rewrite the function after the following transformation: reflect over the x-axis. Group

kari74 [83]

Given:

The parent function is

$f(x)=8x+9$

To find:

The function after the reflection over the x-axis.

Solution:

We know that, if a function f(x) reflected over x-axis to get the function g(x), then

$g(x)=-f(x)$

Putting $f(x)=8x+9$ , we get

$g(x)=-(8x+9)$

$g(x)=-8x-9$

The function after the reflection over the x-axis is $g(x)=-8x-9$ .

Therefore, the correct option is B.

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3 years ago

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Serhud [2]

Answer:

Proportion states that the two fractions or ratios are equal

Given the equation: $\frac{1.5}{4x+1} = \frac{0.4}{x+4}$

By cross multiply we get;

$1.5(x+4) = 0.4(4x+1)$

Using distributive property; $a\cdot (b+c) = a\cdot b+ a\cdot c$

$1.5x + 6= 1.6x + 0.4$

Subtract 0.4 from both sides we get;

$1.5x +5.6= 1.6x$

Subtract 1.5x from both sides we get;

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Divide both sides by 0.1 we get;

$x = \frac{5.6}{0.1}$

Simplify:

x = 56

Therefore, the value of x that satisfy the equation $\frac{1.5}{4x+1} = \frac{0.4}{x+4}$ is, 56

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3 years ago

Please help, due today

patriot [66]

Answer:

I am a little late but here is the answer

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

Non-proportional linear relationships can be expressed in the form y = m x + b

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

Step-by-step explanation:

From Graph :

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

From Equation :

Non-proportional linear relationships can be expressed in the form y = m x + b, where , m is the slope of the line, and b represents the y-intercept.

From Table:

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

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3 years ago