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r-ruslan [8.4K]
3 years ago
15

Simplify the expression 7(a-3+4b)

Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

Answer:

7a - 21 + 28b

Step-by-step explanation:

using the distributive property we can multiply 7 to the numbers in the paretheses. doing this we get:

7a - 21 + 28b

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Suppose f(x) = x^2 and
SpyIntel [72]

Given:

The two functions are:

f(x)=x^2

g(x)=\left(\dfrac{1}{3}x\right)^2

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The horizontal stretch is defined as:

g(x)=f(kx)            ...(i)

If 0, the function f(x) is horizontally stretched by factor \dfrac{1}{k}.

If k>1, the function f(x) is horizontally compressed by factor \dfrac{1}{k}.

We have,

f(x)=x^2

g(x)=\left(\dfrac{1}{3}x\right)^2

Using these functions, we get

g(x)=f\left(\dfrac{1}{3}x\right)         ...(ii)

On comparing (i) and (ii), we get

k=\dfrac{1}{3}

Since 0, the function f(x) is horizontally stretched by factor \dfrac{1}{\frac{1}{3}}=3.

Hence, the correct option is D.

5 0
3 years ago
10×(2.5+13.5) write the numerical expressions in words then solve
Alex73 [517]

Ten times two point five plus thirteen point five

10 x (2.5 + 13.5) = 160

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6 0
3 years ago
The cable company is analyzing data from two satellite television providers to determine whether their users spend more time wat
Phoenix [80]

Answer:

59%

Step-by-step explanation:

The information from Satellite Company Y is:

65 people watch live and 94 people watch recorded.

The total number of people from Y is:

65 + 94 = 159

So the probability that a random person from Y watches recorded shows more often is given by the division of the number of people watching more recorded shows (94) over the total number of people (159):

Probability = 94 / 159 = 0.5912 = 59.12%

Rounding to nearest whole percent, we have 59%

3 0
4 years ago
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Choose the situation which would best be modeled by an exponential decay function.
Softa [21]
A) is the answer. The island in decaying by 10% each year, which means the amount will change within the period of the decay.

Hope this Helps! :)
7 0
3 years ago
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What is the multiple zero and multiplicity of f(x) = (x − 3)(x − 3)(x + 5)? a. Multiple zero is 5; multiplicity is 1 b. Multiple
dolphi86 [110]

Answer:

c. Multiple zero is 3; multiplicity is 2

Step-by-step explanation:

The factor is repeated, that is, the factor  ( x  −  3 )  appears twice. The number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity. The zero associated with this factor,  x  =  3 , has multiplicity 2 because the factor  ( x  −  3 )  occurs twice.

Then

Multiple zero is 3; multiplicity is 2.

6 0
3 years ago
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