A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.

Answer:

70-x

Step-by-step explanation:

The expression which represents the change that Ingrid will get back for purchasing for $x will be 70 - x thus option (C) is correct.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given,

Amount of money that Ingrid have = $70

Amount of money Ingrid purchased = $x

Change back = 70 - x

Hence "The equation that describes the change Ingrid will receive for spending $x is 70 - x".

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Step-by-step explanation:

the change rate between the data points gives us the print rate.

so,

(f(x2) - f(x1)) / (x2 - x1)

starting with x1 = 10 and x2 = 15 we see

(133 - 98) / (15 - 10) = 35/5 = 7

that means he is printing 7 pages per minute.

we see that we have the same difference (35 prints) for every following 5-minute interval.

so, that is the confirmed print rate.

and yes, the amount is increasing, of course.

after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.

so, he started with 98-70 = 28 flyers before actually printing new ones.

Answer:

  B.  -2, 2

Step-by-step explanation:

Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...

  f(x) = 1/2x +1

If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.

  1/2x +1 = √(x +2)

Squaring both sides, we get ...

  1/4x² +x + 1 = x +2

  1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides

  x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4

  (x -2)(x +2) = 0 . . . . factor the difference of squares

  x = -2, 2 . . . . . . . . . values of x that make the factors zero

The solutions to f(x) = g(x) are x = -2 and x = 2.

_____

Additional comment

The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.

The square of (ax +b) is ...

  (ax +b)² = a²x² +2abx +b²

The point-slope equation of a line is ...

  y = mx + b . . . . . line with slope m and y-intercept b

Answer:

d = 7

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Give a₁₀ = 67 and a₁ = 4 , then

a₁ + 9d = 67

4 + 9d = 67 ( subtract 4 from both sides )

9d = 63 ( divide both sides by 9 )

d = 7

open circle on 7 shaded to the right

Answer:

Step-by-step explanation:

A( - 1 , - 3 ) ------> A' ( - 2 , - 1 )

B( 4 , - 3 ) ------> B' ( 8 , - 1 )

C( 4 , 3 ) ------> C' ( 8 , 1 )

D ( - 1 , 3 ) ------> D' ( - 2 , 1 )

Answer:

I dont really know if this is right, but for 5, y=5. I don't know what 6 is. Sorry.

Answer:

If you need it as a fraction then it is 1/18  

Step-by-step explanation:

Answer:

3.46 but if you simplify it is 3.5

Step-by-step explanation:

Answer:

3.46410161514

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{x - 9}{15} = \frac{2x - 9}{10} \\ [/tex]

[tex] \frac{x - 9}{3} = \frac{2x - 9}{2} \\ [/tex]

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

[tex]2x - 18 = 6x - 27[/tex]

[tex]27 - 18 = 6x - 2x[/tex]

[tex]9 = 4x[/tex]

[tex]x = \frac{9}{4} \\ [/tex]

Answer:

meet with large cereal companies to take test the safety of their products.

Step-by-step explanation:

Answer:

C) Justine left her grandmother's house and walked 3 blocks directly south. Then she walked 3 blocks directly north. At this point, how many blocks was Justine from her grandmother's house?

Explanation:

C is the only answer choice where you are starting at 0. Justine goes down 3 blocks and comes back up 3 blocks getting her back to 0.

Answer choice A goes from -10 to 10.

Answer choice B goes from -16 to 16.

Answer choice D goes from 10 to -10.

Answer:

c.-2.5 ,because[2.5]=2.5

Step-by-step explanation:

I hop this is fine

Answer:

B part

Step-by-step explanation:

2.5 because |2.5| = 2.5 and it's never negative.

Hope it helps :)

The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]

From the graph, we have the following highlights

The above highlights mean that:

So, the function of the polynomial is:

[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]

Assume a = 1.

So, we have:

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

Multiply

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

Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]

Read more about polynomial graphs at:

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Answer:

D: 1

Step-by-step explanation:

There's only one number there between 6-10.

Step-by-step explanation:

the area of a triangle is baseline × height / 2.

now, we need to count the units : how long is the baseline, he long is the height from the baseline to the top vertex ?

I find the baseline is 14 units long.

the height is 7 units.

so, the area is

14×7/2 = 7×7 = 49 square units.

Answer:

x = 9

Step-by-step explanation:

Each angle equals 60 since it is an equilateral triangle

7x-3 = 60

add 3

7x = 63

divide by seven on both sides

x = 9

I hope this helps!!

Answer:

x = 5f - a

Step-by-step explanation:

6x + a = 5(x + f)

6x + a = 5x + 5f

x = 5f - a

Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.

Hope that helps

Answer:

$49.297

Step-by-step explanation:

21.5% x 3

divide answer by $76.43

leaves you with how much interest you have earned in 3 months.

Answer: They are all equations except c, which is a formula.

Step-by-step explanation:

Answer:

Step-by-step explanation:

5/6= 83.33%

9/11= 81.81%

1 3/7= 142.85%

Answer:

(x) 83.(3)%

(xi) 81.(81)%

(xii) 142.(857142)%

Step-by-step explanation:

The thing to do is perform the division and write it as percentages.

Please note that all 3 of those are infinite fractions, so

83.(3) means 83.33333333333333333...

81.(81) means 81.8181818181818181...

142.(857142) means 142.857142857142857142857142857142...

If you wanted to round to nearest % or something, you can do that.

Eg. rounding to 2 places after the period:

83.(3)% ~= 83.33%

81.(81)% ~= 81.82%

142.(857142)% ~= 142.86%

Answer:

Translation down by 1 then reflection over Y axis.

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

The interval [-6. -4] refers to x values.

At x = -6, in the line in the middle of -4 and -8, y = 0 at the x axis

At x = -4, y = -4. We know this because when the function crosses x = -4, y = -4 at that point.

The average rate of change is equal to (change in y)/ (change in x) = (yfinal - yinitial) / (xfinal - xinitial) (or the other way around in terms of final and initial)

= (-4 - 0) / (-4 - (-6)) = -4 / (-4 + 6) = -4/2 = -2

Answer:

15

Step-by-step explanation:

Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.

Answer:

  c = -0.7

Step-by-step explanation:

It looks like you have the proportion ...

  [tex]\dfrac{3.8}{4c+3}=\dfrac{2}{\left(\dfrac{2}{19}\right)}\\\\0.4=2(4c+3)\qquad\text{cross multiply}\\\\0.4=8c+6\qquad\text{eliminate parentheses}\\\\-5.6=8c\qquad\text{subtract 6}\\\\\boxed{c=-0.7}\qquad\text{divide by 8}[/tex]

Answer:

c = -0.7

Step-by-step explanation:

[tex]\rm⇢ \: \: \frac{3.8}{(4c + 3)} = \frac{2}{( \frac{2}{19} )} [/tex]

[tex]\rm⇢ \: \: 2(4c + 3) = 3.8( \frac{2}{19} )[/tex]

[tex]\rm⇢ \: \: 8c + 6 = 0.4[/tex]

[tex]\rm⇢ \: \: 8c = - 5.6[/tex]

[tex]\rm⇢ \: \: c = - 0.7[/tex]

Answer:

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