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3 years ago

Which expression does not belong? Be prepared to explain your reasoning.

Mathematics

2 answers:

elena-s [515]3 years ago

6 0

Answer:

Your answer will be the third one.

Step-by-step explanation:

If you add up the numbers on top for the first, secnd, and fourth ones and divide that by the number ont he bottom, you will constantly get 6. However, for the third one, you'll get seven since 9+9 is 18 and 5+5 is 10. Add that up and you get 28, and divide that by 4 and you get 7, not 6. hope this helps!

butalik [34]3 years ago

5 0

Answer: (9+9+5+5)/4

Step-by-step explanation:

Because if you add all of the numbers on the numerator and divide by the denominator, all of them equal 6 except that one. So it doesn't belong

I hope this helps!

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Look at the quadratic equation below. x2 - 10x + 16 = -5 What is this quadratic equation written in standard form? A.5x2 + 10x -

ollegr [7]

Ax^2+bx+c=0 is the standard form, so we add 5 to both sides to get

1*x^2+(-10)x+21=0

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3 years ago

Two numbers that have a product of 8 and the sum of 9 ? What are the two numbers

Rina8888 [55]

Answer:

1 and 8.

Step-by-step explanation:

1 × 8 = 8

1 + 8 = 9

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3 years ago

Among all rectangles that have a perimeter of 176, find the dimensions of the one whose area is largest. write your answers as f

maria [59]

To get the largest area, the length and the width have to be as close as possible, if not the same.

Given Perimeter = 176 unit.
Length = 176 ÷ 4 = 44 units

Area = Length x Width
Area = 44 x 44 = 1936 units²

1936 units² is the largest possible area, given that the perimeter is 176 units. The dimension being 44 by 44

8 0

3 years ago

Read 2 more answers

The length of a rectangle is three times it's width. If the width is diminished by 1 m and length is increased by 3 m, the area

Stella [2.4K]

Answer: the length is 15 m and the width is 5 m

Step-by-step explanation:

Let L represent the original length of the rectangle.

Let W represent the original width of the rectangle.

The length of a rectangle is three times it's width. This means that

L = 3W

If the width is diminished by 1 m and length is increased by 3 m, the area of the rectangle that is formed is 72 m². This means that

(L + 3)(W - 1) = 72

LW - L + 3W - 3 - 72 = 72 + 3

LW - L + 3W = 75 - - - - -- - - - - - 1

Substituting L = 3W into equation 1, it becomes

3W × W - 3W + 3W = 75

3W² = 75

W² = 75/3 = 25

W = √25 = ±5

The width cannot be negative. Therefore, the width is 5 m

L = 3W = 3 × 5 = 15 m

3 0

4 years ago

Jack bought a new car in 2014 for 28,000. If the value of the car decreases by 14% each year, write an exponential model for the

elena55 [62]

Answer:

In 2026 car will have a value of $5,000.

Step-by-step explanation:

We have been given that Jack bought a new car in 2014 for 28,000. If the value of the car decreases by 14% each year.

Since we know that an exponential function is in form: $y=a*b^x$ , where,

a = Initial value,

b = For decay or decrease b is in form (1-r), where r represents decay rate in decimal form.

Let us convert our given decay rate in decimal form.

$14\%=\frac{14}{100}=0.14$

Upon substituting a =28,000 and r=0.14 in exponential decay function we will get,

$y=28,000(1-0.14)^x$ , where x represents number of years after 2014.

Therefore, the function $y=28,000(0.86)^x$ represents the value of car x years after 2014.

To find the number of years it will take to car have the value of $5,000, we will substitute y=5,000 in our function.

$5,000=28,000(0.86)^x$

Let us divide both sides of our equation by 28,000.

$\frac{5,000}{28,000}=\frac{28,000(0.86)^x}{28,000}$

$0.1785714285714286=(0.86)^x$

Let us take natural log of both sides of our equation.

$ln(0.1785714285714286)=ln((0.86)^x)$

Using natural log property $ln(a^b)=b*ln(a)$ we will get,

$ln(0.1785714285714286)=x*ln(0.86)$

$\frac{ln(0.1785714285714286)}{ln(0.86)}=\frac{x*ln(0.86)}{ln(0.86)}$

$\frac{-1.7227665977411033893}{-0.1508228897345836}=x$

$x=11.422447\approx 12$

As in the 12th year after 2014 car will have a value of $5,000, so we will add 12 to 2014 to find the year.

$2014+12=2026$

Therefore, in 2026 car will have a value of $5,000.

6 0

3 years ago

Read 2 more answers