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3 years ago

If m∠PQR=(12x−2)∘, and mPR=(20x−10)∘, what is m∠PQR?a. 137.5b. 70c. 16d. 81

Mathematics

1 answer:

astraxan [27]3 years ago

3 0

Answer:

Step-by-step explanation:

12x - 2 + 20x - 10 = 180

32x - 12 = 180

32x = 192

x = 6

12*6 - 2

72 - 2 = 70

the solution is b

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Find all zeros of ƒ(x) = 2x^4 – 72x^2. Then determine the multiplicity at each zero. State whether the graph will touch or cross

AleksandrR [38]

Answer: See below

Step-by-step explanation:

To find the factor,

f(x) = 0

$\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}$

So,

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

Therefore,

x = 0 multiplicty 2, Touch

x = -6 multiplicty 1, Cross

x = 6 multiplicty 1, Cross

7 0

2 years ago

Suzy is ten years older than Belly, and the next year she will be twice as old as Billy. How old are they now? Show solution.

Snezhnost [94]

Answer:

I understand there is a typo, so Belly and Billy are the same person. His age is represented as B, and Suzy's as S.

S = 19

B = 9

Step-by-step explanation:

Suzy is ten years older than Belly:

(1) S = B + 10

the next year she will be twice as old as Billy

(2) S + 1 = 2 (B + 1)

solving the system of equation (1) and (2):

Making (2) - (1):

1 = 2 (B + 1) - B - 10 => 1 = 2 B + 2 - B - 10 => 1 = B - 8 => B = 9

replacing in (1) S = 19

5 0

3 years ago

H (x) =4x-2 complete the function table

Helen [10]

Note:

You did not mention the table of the points. But, I would try to clear your concept by taking 6 sample points.

Answer:

The table and the graph of the function h(x) = 4x-2 is also attached below.

Step-by-step explanation:

Given the function

$h(x) = 4x-2$

substituting x = 0 in the function

h(0) = 4(0) -2 = 0 -2 = -2

Therefore, the point (0, -2) satisfies on the function.

substituting y = 1 in the function

h(1) = 4(1) -2 = 4 -2 = 2

Therefore, the point (1, 2) satisfies on the function.

substituting y = 2 in the function

h(2) = 4(2) -2 = 8 -2 = 6

Therefore, the point (2, 6) satisfies on the function.

substituting y = 3 in the function

h(3) = 4(3) -2 = 12 -2 = 10

Therefore, the point (3, 10) satisfies on the function.

substituting y = 4 in the function

h(4) = 4(4) -2 = 16 -2 = 14

Therefore, the point (4, 14) satisfies on the function.

substituting y = 5 in the function

h(5) = 4(5) -2 = 20 -2 = 18

Therefore, the point (5, 18) satisfies on the function.

Therefore, we conclude that table:

x h(x) = 4x-2

0 -2

1 2

2 6

3 10

4 14

5 18

The graph of the function h(x) = 4x-2 is also attached below.

5 0

3 years ago

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sammy [17]

Answer:

CAN U MAKE THE PICTURE BIGGER

Step-by-step explanation:

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3 years ago

The graph of g(x) = (x + 2)2 is a translation of the

sladkih [1.3K]

Can we get a picture or something?

5 0

3 years ago

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