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2 years ago

A football team lost 5 yards on one play and gained 12 yards on the next play. Find the overall change in field position.

Mathematics

1 answer:

MrRissso [65]2 years ago

6 0

Answer:

Equation: -5 + 12

Overall change: 7 yards

Step-by-step explanation:

In the problem, it says "lost 5 yards". "Lost" is another way of saying subtraction or negative. Therefore, our starting number is -5.

The problem also says "gained 12 yards". "Gained" is another was of saying addition or positive. Therefore, our second number is positive 12.

Together, these two numbers look like this: -5 + 12. To add them, go 12 to the right of -5 if on a number line. That would be like this: -5, -4, -3, -2, -1, 0, etc until you get to 7 which should be 12 more than -5.

Therefore, the answer is 7 yards.

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The total amount of money, m, earned by washing cars at a school fundraiser is proportional to the number of cars, c, washed at

vaieri [72.5K]

M=c•p

multiplying the prince by the number of cars washed will give you the total amount of money the school has raised

7 0

3 years ago

Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.

UkoKoshka [18]

Solution

f(x) = -20 $x^{2}$ +14x + 12 and g(x) = 5x - 6.

(f/g)(x) = $\frac{f(x)}{g(y)}$

(f/g)(x) = $\frac{-20x^{2}+14x +12 }{5x - 6}$

Step 1: Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6

f(x) = -2(2x + 1) (5x - 6)

Step 2: Plug in the factors

(f/g)(x) = $\frac{-2 (2x +1)(5x - 6)}{(5x - 6)}$

Step 3: Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

4 0

3 years ago

Please help me with this

Fiesta28 [93]

9514 1404 393

Answer:

91°

Step-by-step explanation:

The similarity statement tells you that angles Q and H are congruent. The measure of angle H is shown as 91°, so that is the measure of angle Q.

m∠Q = 91°

5 0

3 years ago

A spinner with three equal sectors is spun three times. What is the number of possible outcomes?

Marina86 [1]

Answer:

If they mean written as a fraction, you have three total outcomes. As a fraction you can say 1/3 to say you have a one in three chance of landing on a specific one.

6 0

3 years ago

Read 2 more answers

How many terms are in the binomial expansion of (2x 3)5? 4 5 6 7

padilas [110]

In the binomial expansion (2x + 3)^5 , there are 6 terms.

According to the question, given that

Binomial expansion (2x + 3)^5

Number of terms in a binomial expansion of (x + y)^n is

N = n + 1 words in total

In the binomial expansion (2x + 3)^5

n = 5

N = 5 + 1 = 6

Therefore, In Binomial expansion (2x + 3)^5 there are 6 terms.

The algebraic expression (x + y)n can be expanded according to the binomial theorem, which represents it as a sum of terms using separate exponents of the variables x and y. Each word in a binomial expansion has a coefficient, which is a numerical value.

The formula for expanding the exponential power of a binomial expression is provided by the binomial theorem, sometimes referred to as the binomial expansion. The following is the binomial expansion of (x + y)n using the binomial theorem:

$(x+y)^n = n_C_{0} * n_y_{0} + n_C_{1} * n-1_y_{1} + n_C_{2} * n-2_ y_{2} + ... + n_C_{n-1} * 1_y_{n-1} + n_C_{n} * 0_y_{n}$

To learn more about binomial theorem visit here : brainly.com/question/2165968

#SPJ4

8 0

1 year ago