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krek1111 [17]
3 years ago
15

If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?

Mathematics
1 answer:
aksik [14]3 years ago
4 0

Answer:

The leading coefficients of f(x) and g(x) are opposites.

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Find the smallest power of 10 that will exceed M. Let M = 118,526.65902.
zavuch27 [327]

Answer:

The smallest power of 10 that will exceed M is 10^{6}.

Step-by-step explanation:

We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:

x.y \times 10^{n}, \forall \,x,y\in \mathbb{N}

Where:

x - Integer part, formed by a digit, which is of the highest order.

y - Decimal part, formed by a digit onwards.

n - Power grade.

The smallest power of 10 that will exceed M is 10^{n+1}

If M = 118,526.65902, then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of M in scientific notation is:

M = 1.1852665902\times 10^{5}

Then, the smallest power of 10 that will exceed M is 10^{6}.

5 0
3 years ago
I have no idea what im doing someone help pls! due soon
Irina18 [472]

4x2-28x+49  

Final result :

 (2x - 7)2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (22x2 -  28x) +  49

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  4x2-28x+49  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  -28x  its coefficient is  -28 .

The last term, "the constant", is  +49  

Step-1 : Multiply the coefficient of the first term by the constant   4 • 49 = 196  

Step-2 : Find two factors of  196  whose sum equals the coefficient of the middle term, which is   -28 .

     -196    +    -1    =    -197  

     -98    +    -2    =    -100  

     -49    +    -4    =    -53  

     -28    +    -7    =    -35  

     -14    +    -14    =    -28    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  -14  

                    4x2 - 14x - 14x - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (2x-7)

             Add up the last 2 terms, pulling out common factors :

                   7 • (2x-7)

Step-5 : Add up the four terms of step 4 :

                   (2x-7)  •  (2x-7)

            Which is the desired factorization

Multiplying Exponential Expressions :

2.2    Multiply  (2x-7)  by  (2x-7)  

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (2x-7)  and the exponents are :

         1 , as  (2x-7)  is the same number as  (2x-7)1  

and   1 , as  (2x-7)  is the same number as  (2x-7)1  

The product is therefore,  (2x-7)(1+1) = (2x-7)2  

Final result :

 (2x - 7)2

7 0
3 years ago
Read 2 more answers
Find the area of the following shape
Sav [38]

Answer:

74.8 cm^2

Step-by-step explanation:

The figure is a parallelogram with base of 11cm and height of 6.8cm . To find the area, we multiply the base by the height to get 11 × 6.8 = 74.8 cm^2

5 0
2 years ago
8- 5 (a + b) + 3 (a - 2b)
Alexeev081 [22]

Answer: 8-2a-11b

.....

7 0
3 years ago
A square storage unit has a volume of 607.5 ft3. The height of the unit is 7.5 ft. What are the length and width of the storage
Eduardwww [97]

Answer:

9ft

Step-by-step explanation:

The base area of the storage is its volume divided by height

A = \frac{V}{h} = \frac{607.5}{7.5} = 81 ft^2

Since this base is a square, its length and width is of equal length, which is

\sqrt{A} = \sqrt{81} = 9ft

4 0
3 years ago
Read 2 more answers
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