what is the equation of the line that is perpendicular to the given line and has an x-intercept of 6?​

Answer: No, x+3 is not a factor of 2x^2-2x-12

========================================================

Explanation:

Let p(x) = 2x^2 - 2x - 12

If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).

Compare x+3 = x-(-3) to x-k to find that k = -3.

Plug x = -3 into the function

p(x) = 2x^2 - 2x - 12

p(-3) = 2(-3)^2 - 2(-3) - 12

p(-3) = 12

We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12

----------------------------------------

Let's see what happens when we factor p(x)

2x^2 - 2x - 12

2(x^2 - x - 6)

2(x - 3)(x + 2)

The factors here are 2, x-3 and x+2

Answer:

for y=-8sin(3x)

Amplitude = 8

Answer:

8

Step-by-step explanation:

amplitude =8

|sin (3x)|≤1

so |-8 sin (3x)≤8

Answer:

I say two.

Step-by-step explanation:

Answer: -1.5

because one of the numbers is - 10 => the other is 15/-10 = -1.5

Step-by-step explanation:

Answer:5c+4

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

-3 = -2x + 1

minus 1 to the both sides

-3 -1 = -2x

-4 = -2x

divide both sides by -2

x = 2

Answer: = 1

Step-by-step explanation: 6−4v=3−v

Step 1: Simplify both sides of the equation.

6−4v=3−v

6+−4v=3+−v

−4v+6=−v+3

Step 2: Add v to both sides.

−4v+6+v=−v+3+v

−3v+6=3

Step 3: Subtract 6 from both sides.

−3v+6−6=3−6

−3v=−3

Step 4: Divide both sides by -3.

−3v

−3

=

−3

−3

v=1

Answer:

v=1

Answer:

V=1

Step-by-step explanation:

6 - 4v = 3 - v

move the varible

6 - 4v + v = 3

collect like terms

-3v = 3 - 6

divide both sides by -3

V = 1

Answer: Twice the length of 322 yards is 644. If I divide by 15 I get 42 r14. Alice needs to buy 43 rolls of ribbon. I like your cut G !

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

They both have same height,

let the height of both triangles be = x

let the base one triangle = y

then the base of another trainlgle = 2y

Area of triangle = 1/2 X B X H

Area of Triangle 1

[tex] \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} [/tex]

Area of Triangle 2

[tex] \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy[/tex]

Difference in the area =

[tex]xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} [/tex]

Hence Area of Triangle 1 is half the area of Triangle 2

Difference of 1/2 area.

Answer:

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}∣ANSWER∣

They both have same height,

let the height of both triangles be = x

let the base one triangle = y

then the base of another trainlgle = 2y

Area of triangle = 1/2 X B X H

Area of Triangle 1

\begin{gathered} \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} \end{gathered}21×y×x=>2xy

Area of Triangle 2

\begin{gathered} \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy\end{gathered}21×2y×x=>22xy=>xy

Difference in the area =

\begin{gathered}xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} \end{gathered}xy−2xy=>22xy−xy=>2xy

Hence Area of Triangle 1 is half the area of Triangle 2

Difference of 1/2 area.

[/tex]

Step-by-step explanation:

side it

siso,;-):-(

Answer:

the answer is 6 u welcome

Answer:

a. $761.60

b. The store bought the dishwasher for the price they are currently selling it at. They are receiving no profit when it is on sale.

Step-by-step explanation:

give brainliest pls

If 20% is the greatest possible markdown the store can give without losing money, then the price of the dishwasher is $761.60

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that the Sales price = $952

Markdown % = 20%

The Sales price = (100 - 20)% x $952

The Sales price = 80% x $952

The Sales price = $761.60

If 20% is the greatest possible markdown the store can give without losing money, then the price of the dishwasher is $761.60

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Answer:

22 units.

Step-by-step explanation:

We want to find the perimeter of the polygon with vertices at: (-3, 1); (5, 1); (-3, 4); and (5, 4).

Let’s first plot the points and see what polygon we acquire. Please refer to the graph below.

As we can see, when plotting the points and connecting them, we get a rectangle.

So, we can use the perimeter formula for a rectangle, given by:

[tex]P=2(\ell+w)[/tex]

Where [tex]\ell[/tex] Is the length and [tex]w[/tex] is width.

Remember that the perimeter is simply the distance around the figure.

So, let’s find the length. We can do so by counting or by subtracting.

By counting, we can see that the length (longer side) is 8 units.

And by subtracting, we get the same length of |5-(-3)| or 8 units.

We use absolute value because distance is always positive.

Using the same process, we find the width to be 3 units.

Using subtract, we can see that this is indeed true as |1-4|=3.

So, we can now substitute the values into our formula:

[tex]P=2(8+3)[/tex]

Evaluate:

[tex]P=2(8+3)=2(11)=22\text{ units}[/tex]

So, the perimeter of the polygon is 22 units.

Answer:

y= (-2/3)x+10/3  is a function

3y=18 is a function

Step-by-step explanations

in both cases for each input x there is exactly one output y

Answer:

$16.5

Step-by-step explanation:

$30-$8-$3.85-$1-$1 = $16.5

Answer:

12

Step-by-step explanation:

Answer:

£12

Step-by-step explanation:

It's asking us to find the 30% of the 40 and to do this we multiply 40 by 30 then divide it by 100

40 × 30 ÷ 100 = 12

Answer:A

Step-by-step explanation: I took the test

Answer and explanation:

A rectangle's width is longer than the length

And so given a rectangular lawn 4m by 10m,

the width of the lawn= 10m

the length of the lawn= 4m

If a garden of uniform width is added, then garden's width = 10m

The garden of uniform width is added to the width side of the rectangular lawn( since along the combined side length of the lawn and garden, another garden is added)

The garden added to the combined side length of the lawn and garden has width twice that of the garden = 2*10= 20m

Given that total area of the lawn and two gardens = 72m²

Total area of lawn and 2 gardens(Area of rectangle(lawn+2 garden's)) is length * width

= 4*10+ 10*x+ 20*y=72

Therefore equation for total area of lawn and both gardens is 40+10x+20y=72

Where x is length of second garden attached to the width side of the lawn and y is length of the garden attached to the combined length side of the lawn and first garden

x can be solved

40+10x+20y=72

10x+20y=72-40

10x+20y=32

10x=32-20y

x=32-20y/10

Y can be solved

40+10x+20y=72

10x+20y=72-40

10x+20y=32

20y=32-10x

y=32-10x/20

Answer: x=7

Step-by-step explanation: is that what you're looking for?

Answer:

H.

Step-by-step explanation:

the number of premiums sold in week 3 was 50

the number of premiums sold in week 2 was 25

25 times 2 is 50

Answer:

C A person with an annual income of at least \$50{,}000$50,000dollar sign, 50, comma, 000 is more likely to be 454545 years old or above

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​ is a correct statement.

We have given that,

A sociologist polled a random sample of people and asked them their age and annual income.

annual income is the amount of money you receive during the year into your bank account, before any deductions.

The two-way frequency table below shows the results.

Annual income vs. age group Less than $50,000 At least $50,000

Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132

Total 186 162 348

A person with an annual income of at least

[tex]=\$50000\\=$50,000dollar[/tex]

Therefore statement b is true.

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​.

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Answer:

No solution

Step-by-step explanation:

6x - 2(3x - 4)

Distribute;

6x - 6x + 8

0 ≠ 8

Answer:

257 kids

Step-by-step explanation:

Answer:

D.) 200ft²

Step-by-step explanation:

The formula for the area of a trapezoid:

[tex]A=\frac{1}{2} (b_{1}+b_{2})h[/tex]

where:

Insert the given values:

[tex]A=\frac{1}{2}(16+24)*10[/tex]

Simplify the equation using PEMDAS. Simplify parentheses:

[tex]A=\frac{1}{2}*40*10[/tex]

Simplify multiplication:

[tex]A=\frac{1}{2}* 400[/tex]

Simplify multiplication. Use the rule [tex]\frac{a}{b}*c=\frac{ac}{b}[/tex] :

[tex]A=\frac{1*400}{2}\\\\A=\frac{400}{2}[/tex]

Simplify division:

[tex]A=200[/tex]

The area is 200ft²

:Done

Answer:

longest

Step-by-step explanation:

was Answer Expert Verified on a different question :)

Answer:

Longest

Step-by-step explanation:

Edgen 2021

30g

your welcomeeeeeeeeeeeee

Answer:

y = 8x + 38

Step-by-step explanation:

To find the slope we set up y = mx + b and plug m (our slope) in and then plug in the point into x and y to find b (our y-intercept)

   y = mx + b

   y = 8x + b

   6 = 8(-4) + b

   6 = -32 + b

+32   +32

 38 = b

So using our slope and our intercept we have our slope intercept

y = mx + b

y = 8x + 38

Hope this helps :)

Answer:

y - y1 = m(x - x1)

y - 6 = 8(x - (-4))

y - 6 = 8(x + 4)

y - 6 = 8x + 32

y = 8x + 32 + 6

y = 8x + 38

Step-by-step explanation:

First you input the given values ( m = 8 and (-4, 6)) into the point-slope equation.

After that, you multiply the 8 by the two terms inside the parentheses, giving you 8x and 32.

Then you add 6 to both sides of the equation to isolate the y.

The slope-intercept equation ends up looking like this: y = 8x + 38

Hope this helps :)

Answer:

France's GDP is 50 000 times larger than Tuvalu's GDP.

Step-by-step explanation:

Given: Gross Domestic Product (GDP) of France = $2.0 x [tex]10^{12}[/tex]

            Gross Domestic Product (GDP) of Tuvalu = $4.0 x [tex]10^{7}[/tex]

To determine the number of times in which the GDP of France is greater than that of Tuvalu, divide the GDP of France by the GDP of Tuvalu.

[tex]\frac{2.0*10^{12} }{4.0*10^{7} }[/tex] = [tex]\frac{2000000000000}{40000000}[/tex]

           = [tex]\frac{200000}{4}[/tex]

           = 50000

Therefore, France's GDP is 50 000 times larger than Tuvalu's GDP.

Answer:

let t= the number of tacos sold

let b= the number of burritos sold

3.25t+7b=552

b=2t

Step-by-step explanation:

Since there were twice as many burrito sold as tacos sold, there were more burritos sold, so if we multiply by 2 the number of tacos sold, we will get the number of burritos sold, meaning b=2t.

The system of equation should be considered as the  3.25t+7b=552 and the value of b should be equivalent to 2t.

here we assume that

t= the number of tacos sold

And, b= the number of burritos sold

As per the situation, the equation be like

3.25t+7b=552

b=2t

So,

put b value in the first equation

3.25t + 14t = 552

t = 3.01

And, b = 1.51

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Answer:

y= -x+9

Step-by-step explanation: