Hector is 5 years less than double Mary's age Mary is 12 years old how many years old is Hector

The function is y=450-50x.

The factored form of [tex]\(18x^2 - 2\)[/tex] is [tex]\({2(3x - 1)(3x + 1)}\)[/tex].

To factor the expression [tex]\(18x^2 - 2\)[/tex] completely, we first notice that [tex](18x^2\))[/tex] and [tex]\(2\)[/tex] share a common factor of [tex]\(2\)[/tex]. We can factor out this common factor to simplify the expression:

[tex]\[18x^2 - 2 = 2(9x^2 - 1)\][/tex]

Now, we recognize that [tex]\(9x^2 - 1\)[/tex] is a difference of squares. It can be factored as [tex]\((3x)^2 - 1^2\)[/tex], which follows the pattern [tex]\((a^2 - b^2) = (a - b)(a + b)\)[/tex].

So, applying this pattern, we have:

[tex]\[9x^2 - 1 = (3x)^2 - 1^2 = (3x - 1)(3x + 1)\][/tex]

Therefore, the expression \(18x^2 - 2\) factors completely as:

[tex]\[18x^2 - 2 = 2(9x^2 - 1) = 2(3x - 1)(3x + 1)\][/tex]

Answer:

Option D is the correct answer.

Explanation:

 The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function.

We need to find f(x)

Checking each options.

a) f(x) = [tex]2^x[/tex]

    For (0,1)

              f(0) = [tex]2^0=1[/tex]

    For (1,5)

              f(1) =  [tex]2^1=2[/tex], given that f(1) = 5, so option A is wrong.

b) f(x) = [tex]3^x[/tex]

   For (0,1)

              f(0) = [tex]3^0=1[/tex]

    For (1,5)

              f(1) =  [tex]2^1=3[/tex], given that f(1) = 5, so option B is wrong.

c) f(x) = [tex]4^x[/tex]

   For (0,1)

              f(0) = [tex]4^0=1[/tex]

    For (1,5)

              f(1) =  [tex]4^1=4[/tex], given that f(1) = 5, so option C is wrong.

d) f(x) = [tex]5^x[/tex]

   For (0,1)

              f(0) = [tex]5^0=1[/tex]

    For (1,5)

              f(1) =  [tex]5^1=5[/tex]

   For (2,25)

               f(2) =  [tex]5^2=25[/tex]

  For (3,125)

               f(3) =  [tex]5^3=125[/tex]

 So all values are satisfied Option D is the correct answer.

y is the total number of votes, which is given as 125,000

Replace Y in the equation and solve for x.

X - 62500 = 0.25(125000)

Simplify:

x - 62500 = 31250

Add 62500 to both sides:

X = 31250 + 62500

X = 93750

The median is 8 I beliwve because of the 12

a line through the point (0, 6 )

to find a point on the line, choose any value of x , substitute into the equation and solve for y

x = 0 : 0 + 4y = 24 ( divide both sides by 4 )

y = [tex]\frac{24}{4}[/tex] = 6

hence line goes through (0, 6 )

The correct graph that represents the equation 2x + 4y = 24 is option A, which shows a line through the points (0, 6) and (12, 0).

The equation 2x + 4y = 24 can be rearranged to y = -0.5x + 6. This means that the equation represents a linear function with a slope of -0.5 and a y-intercept of 6.

Option A, which shows a line through the points (0, 6) and (12, 0), is the correct graph since it satisfies the equation. The slope is -0.5 and the y-intercept is 6.

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x + 8y = 0

x - intercept when y = 0:

x + 8(0) = 0

x + 0 = 0

x = 0

y - intercept when x = 0:

0 + 8y = 0

8y = 0    |:8

y = 0

Answer:

The x-intercept is 0

The y-intercept is 0

Just subtract 98.26 from 156.75. It equals $58.49.

you can use subtraction by doing 156.75 minus 98.26 when you do that the amount he still needs is 58.49

B. The equation of this line is x = 3.

E. This graph is not a function because the value x = 3 is assigned to more than one y-value.

Subtract.

1 - 3/8 = 5/8

Answer:

$28 per pair is not a good estimate.

Step-by-step explanation:

Let x represent cost of each pair with tax.

We have been given that a case of 24 pairs of the same kind of sport shoes cost a little more than $800.

The cost of 24 pairs would be [tex]24x[/tex].

[tex]24x>800[/tex]

[tex]\frac{24x}{24}>\frac{800}{24}[/tex]

[tex]x>33.33[/tex]

Since the cost of each pair is greater than $33.33, therefore, $28 is not a good estimate.

10x = -80

Note the equal sign. What you do to one side, you do to the other.

Divide 10 from both sides

10x/10 = -80/10

x = -80/10

x = -8

-8 is your answer for x

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~Rise Above the Ordinary, Senpai

answer: x = -8

work:

you're working to solve for x.

this means you want to isolate x, and get it alone.

to do so, divide both sides by 10 to get rid of the 10.

once you divide both sides by 10, x is on its own, and you have the solution to your equation, x = -8!

to check your work you can plug the value for x into the original equation and solve.

10(-8) = -80

-80 = -80

so we can verify this is in fact correct.

i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom

the slope is 0 over 1 and the y-intercept is 3

Total cost

17.95 + 27.50 + 94.20 + 12.30 + 12.30 = 164.25

tax

164.25 * 5% = 8.21

164.25 * 1.5% = 2.47

164.25 * 2% = 3.28

sum of the tax

8.21 + 2.47 +3.28 =

13.96

your answer is C

Final answer:

To find the total tax on Edward Taylor's purchases, sum the cost of all items ($164.25), multiply by the combined tax rate of 8.5% to get the total tax in dollars ($13.96125), and round to the nearest cent, resulting in $13.96. So, option C is correct.

Explanation:

To determine the total amount of tax on Edward Taylor's purchases, we need to sum up the cost of all items purchased and then calculate the combined sales tax. Edward bought two shirts for $17.95 and $27.50, a jacket for $94.20, and two ties at $12.30 each. Here are the steps taken:

Calculate the sum of the purchases: $(17.95 + 27.50 + 94.20 + 12.30 + 12.30) = $164.25.

Combine the tax rates: (state tax at 5% + county tax at 1.5% + city tax at 2%) = 8.5% total.

Convert the tax rate to a decimal: 8.5% = 0.085.

Multiply the total cost of purchases by the tax rate: $164.25 * 0.085 = $13.96125.

Round the tax to the nearest cent: $13.96.

Therefore, the total amount of tax on his purchases is $13.96. So, option C is correct.

1a. 6y - 2y = 4y

1b. 6 - 7b + 7b + 3 + b

= 6 + 3 + b

= 9 + b

2a. 10a - 2 + 3 - a

= (10a - a) + (-2 + 3)

= 9a + 1

2b. m · 7 · m · m · m · m · 9

= (7 · 9) · (m · m · m · m · m)

[tex]=63m^{5}[/tex]

3a.  3 + 8(5a + 10)

= 3 + 40a + 80

= 40a + 83

3b.  6v - 8v + 4 + 6v

= (6v - 8v + 6v) + 4

= 4v + 4

4a.  s · 1 · s · 3

= (1 · 3) · (s · s)

[tex]= 3s^{2}[/tex]

4b.  6k - 6k

= 0

5a.  [tex]10y^{4} (y^{2} )[/tex]

= [tex]=10y^{6}[/tex]

5b.  10x + 7 - 5x

= (10x - 5x) + 7

= 5x + 7

6a.  1v - v + 7 + 9v

= (1v - v + 9v) + 7

= 9v + 7

6b.  6z - 5 + 5 - 6z

= (6z - 6z) + (-5 + 5)

= 0 + 0 = 0

7a.  9w + 5w

= 14w

7b. s · 2s · s · s · s · s

= 2 · (s · s · s · s · s · s)

[tex]= 2s^{6}[/tex]

I don't know the answer use a calculater

Answer:

Fit-Place charges a $135 startup fee and then $35 per month.

Means the cost here will be based on the equation : [tex]135+35x[/tex] where x is the number of months.

The Factory has no startup fee but charges $60 per month. Here the equation will be [tex]60x[/tex], where x is the number of months.

Table ;

Months              1          2          3        4         5        6          7        8

Fit-Place          170      205     240     275     310     345    380   415

The Factory     60      120        180     240    300    360   420    480

The total cost will be same in:

[tex]60x=135+35x[/tex]

=> [tex]60x-35x=135[/tex]

=> [tex]25x=135[/tex]

x = 5.4 rounded to 5 months.

Now we can see that the total cost will be same in almost 5 months.

The formula of a midpoint:

[tex]\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have

[tex]A(-2,\ 5),\ B(3,\ -3)[/tex]

Substitute:

[tex]\dfrac{-2+3}{2}=\dfrac{1}{2}=0.5\\\\\dfrac{5+(-3)}{2}=\dfrac{2}{2}=1[/tex]

Answer: (0.5, 1).

Answer:

The midpoint of AB is (0.5,1).

Step-by-step explanation:

From the given graph it is clear that the vertices of the triangle ABC are A(-2,5), B(3,-3) and C(-4,-1).

If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of that segment is

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

We need to find the midpoint of AB.

[tex]Midpoint=(\frac{-2+3}{2},\frac{5+(-3)}{2})[/tex]

[tex]Midpoint=(\frac{1}{2},\frac{5-3}{2})[/tex]

On further simplification we get

[tex]Midpoint=(\frac{1}{2},\frac{2}{2})[/tex]

[tex]Midpoint=(0.5,1)[/tex]

Therefore the midpoint of AB is (0.5,1).

Think of a cube with side lengths of 10.

The volume of the cube will be L*W*H = 10*10*10 = 1000

This volume of 1000 is what we consider a perfect cube.

Answer: yes

10*10*10=[tex]10^{3}[/tex]

10*10*10=1,000

1,000 is a perfect cube, because 10^3 is 1,000.

I hope this helps :)

Without more information or a diagram showing the arrangement of the angles, we can't accurately determine if angles 2 and 5 are vertical angles, linear pairs, or neither. Vertical angles are those opposite each other when lines intersect and are always equals, while a linear pair of angles add up to 180 degrees and share a vertex and a side.

To determine if angles 2 and 5 are vertical angles, linear pairs, or neither, we need to know the positional arrangement of these angles.

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in degree.

A linear pair of angles is formed when two angles add up to 180 degrees and they share a vertex and a side.

Without a diagram or more context, it's impossible to determine the relationship between angles 2 and 5. Please provide more information or a diagram to help identify the relationship between these angles.

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the answer is 300 because 55+45=100   and 100*3 is 300

What is triple the sum of 45 and 55

First, add 45 and 55

45 + 55 = 100

Next, triple the sum. Multiply 3 with the number gotten

3(100) = 300

300 is your answer

hope this helps

~Rise Above the Ordinary

-44 should be your answer. If you were solving for absolute value and the 28 was positive you would have about 12.

X=5

Add all the Xs together, then get it alone and there’s your anwser

Hope it helps ❤️

[tex]-10x+2=-8x-8[/tex]                  Combine Like Terms

[tex]-2x+2=-8[/tex]                       Add [tex]-8x[/tex] on both sides

[tex]-2x=-10[/tex]                            Subtract [tex]2[/tex] on both side

[tex]x=5[/tex]                       Divide [tex]-2[/tex] to [tex]-10[/tex]

*(Answer)*= [tex]x=5[/tex]

OK first change 3 3/4 to an improper fraction and that will give you  15/4. so you got that part right.  Next, change the division sign to multiplication. then flip the 1/2 to 2/1.  Then multiply 15 times 2 and that will give you 30. Then multiply 4 times 1 and that will give you 4. then you will have an answer of  30/4. Finally, since you a have a big number over a small number you divide 30 by 4 and that will give you 7 1/2. So it turns out that your little cheat sheet is wrong because when you check your answer you should go on Math-way to check it. Also, a little background about me is that I am in 8th grade and I am taking algebra 1 too.

Let "a quantity" = x

the quantity is being "[added] to 6"

x + 6 is your algebraic expression.

hope this helps

~Rise Above the Ordinary

The quantity which is unknown can be represented as a variable such as x or any other letter. The plus 6 can be represented by +6. So the final answer is x+6. Hope this helps!

Answer:

Okay you are asking for the area of a circle ( drum head ) to find that is. You get R (radious) by dividing 14 by 2 and get 7

Step-by-step explanation:

A= πr^2

so what is the R? Its 7

Plug the numbers in and

and your answer is 153.94

The original price was 600 if i'm correct

To solve this problem we will directly use the formula:

[tex]h=\frac{1}{2}gt^2[/tex]..........Equation 1

where symbols have their usual meanings.

Here g=32.2 ft/s^2 and h=108 feet

Therefore, from Equation 1 we will get:

[tex]t=\sqrt{\frac{2h}{g}}[/tex]....Equation 2

Plugging in the values in Equation 2 we get:

[tex]t=\sqrt{\frac{2\times 108}{32.2}}\approx 2.59[/tex] seconds.

Therefore, the amount of time it would have taken the rock to fall is 2.59 seconds.