A candle shop owner collected data on customers’ favorite scents, as shown in the table.

Identify the error by providing a brief description. Then, complete the problem correct

Ipatiy [6.2K]

Answer:

True answer: -24

Step-by-step explanation:

Showing the error

-16-2(-2) – 12 First you need to multiply

8(-2) - 12 The error here is that the wrong numbers are multiplied together

-16-12 Add the negatives together

-28 Your answer (the incorrect one)

The correct way of solving it

-16 -2(-2) - 12 Multiply into the parenthesis

-16 + 4 -12 Add the first two numbers

-12 - 12 Add the numbers together

-24 The answer

8 0

3 years ago

Three consecutive even integers have a sum of -126. What is the smallest integer ?

SSSSS [86.1K]

Answer:

-40, - 42 and -44

Step-by-step explanation:

The fastes way here is trying. Lets pick a number, intelligently, and then work on it.

We need three even integers that sum -126. These will be all negative numbers and as they are consecutive they will be very similar (for example, -33 and -35 and -37). Thus, lets start by 1/3 of -126, which is -42:

(-42)+ (-44) + (-46) = - 132, so -42 no.

Lets go a step back: -40

(-40) + (-42) + (-44) = -126

So, the integers are -40, -42 and -44

5 0

3 years ago

Determine if y = -7 is a solution for the inequality 2y ⥶ -14

Pie

Answer:

❖Ƭʜᴇ꧁ʙʀᴇɴ ᴊᴀᴄᴏʙ꧂๖ۣۜJahText you copy will automatically show here❖Ƭʜᴇ꧁ʙʀᴇɴ ᴊᴀᴄᴏʙ꧂๖ۣۜ

6 0

2 years ago

F (x) = 3x^2 - 10x + 4

andrezito [222]

Answer: (5/3, -13/3)

Step-by-step explanation:

3 0

3 years ago

What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?

gizmo_the_mogwai [7]

Answer:

The equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 is $\mathbf{y=-\frac{5}{4}x+3}$

Step-by-step explanation:

We need to write an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16.

The equation will be of form $y=mx+b$ where m is slope and b is y-intercept.

Finding slope of the line:

Since both the lines are parallel, and we know that parallel lines have same slope.

The slope of given line $5x+4y=16$ can be found by writing in slope-intercept form $y=mx+b$

$5x+4y=16\\4y=-5x+16\\y=-\frac{5}{4}x+16$

Comparing with $y=mx+b$ the slope m is: $m=-\frac{5}{4}$

So, the slope of required line is: $m=-\frac{5}{4}$

Now, finding y-intercept b

y-intercept can be found using slope $m=-\frac{5}{4}$ and point (8,-7)

$y=mx+b\\-7=-\frac{5}{4}(8)+b\\-7=-5(2)+b\\-7=-10+b\\b=-7+10\\b=3$

So, we get y-intercept: b=3

Now, the equation of required line having slope $m=-\frac{5}{4}$ and y-intercept b=3 is:

$y=mx+b\\y=-\frac{5}{4}x+3$

So, the equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 $\mathbf{y=-\frac{5}{4}x+3}$

4 0

2 years ago