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elena-s [515]
2 years ago
10

Number 1 A to D and number 2 A to C....?

Mathematics
1 answer:
anyanavicka [17]2 years ago
5 0
A polynomial function is something that is in the form ax^n+bx^(n-1)...+c. For (a), we see that 4x^3 is the highest power of x, so everything after it must be to the power of an integer less than 3 and more than -1. Since -3x^2 is to the power of 2, that works. Since 2 is 2x^0, that works too (since anything to the power of 0 is 1)

For (b), we get that .4x^3 is, again, to the highest power in this expression. However, sqrt(x) is x to the power of 1/2, which is not an integer and therefore making it not a polynomial function.

I challenge you to do c and d on your own using what I said!

For 2, we have f(3)=2 and f(4)=7. That means that we have the coordinates (3,2) and (4,7). Since the equation is y=mx+b, m(the slope) is found by 
(x1-x2)/(y1-y2), x is the first number is the point, so 3 and 4 are both x values. Y values are the second number. (3-4)/(2-7)=-1/-5=1/5, which is the slope, making our equation y=(1/5)x+b. Since y and x must always stay that way (in the final equation) we just need to find b. To find it, we can plug in 3 and 2 for x and y respectively, getting 2=(1/5)*3+b=0.6+b. Subtracting 0.6 from both sides, we get b=1.4, making the equation y=(1/5)*x+1.4.

I challenge you to do B and C on your own using what I said!
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Answer:

If rounding up it is 1

Step-by-step explanation:

the nearest whole number is 1.

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Make a factor tree for 16
jonny [76]
         16
          ∧
     4   X  4
      ∧      ∧
   2 X 2   2 X 2

The answer is 2 x 2 x 2 x 2 or 2⁴   This would have worked as well had you broken 

down 16 into 8 x 2.  You would get the same answer as the 8 would break down into 4 x 2 and the 4 would break down into 2 x 2.  

6 0
2 years ago
0=x2+4x-5 using zero product property
Elenna [48]

Answer:

x=1,-5x=1,−5

Step-by-step explanation:

0=(x−1)(x+5)

2 Switch sides.

(x-1)(x+5)=0(x−1)(x+5)=0

3 Solve for xx.

x=1,-5x=1,−5

4 0
2 years ago
The no. Of adel beads to that of claire's beads was the ratio 7 :4 .When adel gave 68 beads to claire the ratio become 25 :41 .
Novosadov [1.4K]

Answer:

37 beads

Step-by-step explanation:

Given that:

Adel : Claire = 7 : 4

Let Adel be = A;  &

Let Claire be = C

A: C = 7 : 4

\dfrac{A}{C} =\dfrac{7}{4}

7C = 4A

C = \dfrac{4A}{7} --- (1)

When Adel gave 68 beads to claire, we have:

C + 68 = 25:41

\dfrac{A}{C+68}= \dfrac{25}{41}

25(C + 68) = 41A

C + 68 = \dfrac{41}{25}A

C = \dfrac{41}{25}A - 68 --- (2)

Equating (1) and (2) together;

\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68

\dfrac{4 * A}{7}-\dfrac{41 *A}{25} =  - 68

\dfrac{100A - 287 A}{175} =- 68

\dfrac{-187A}{175} = -68

- 187 A = 175 × (-68)

-187 A = - 11900

A = - 11900/ -187

A ≅ 64

From; C = \dfrac{4A}{7}

C = \dfrac{4*64}{7}

C = 36.57

C ≅ 37 beads

4 0
3 years ago
How many garbage cans should be placed in each campground? Explain how you can use addition or multiplication to find the answer
Vikentia [17]

Answer:

Step-by-step explanation:

Multiplication

Ratio of Tables to garbage = 8:3

Small camp ground:

40 picnic tables and let x be the number of garbage cans

\frac{8}{3}=\frac{40}{x}\\\\\frac{8*5}{3*5}=\frac{40}{x}\\\\\frac{40}{15}=\frac{40}{x}\\\\

x = 15

Small campground with 40 picnic table needs 15 garbage cans

Large picnic ground:

120 picnic tables and let y be the number of garbage cans

\frac{8}{3}=\frac{120}{y}\\\\\frac{8*15}{3*15}=\frac{120}{y}\\\\\frac{120}{45}=\frac{120}{y}

y= 45

Big campground with 120 picnic table needs 45 garbage cans

3 0
2 years ago
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