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Andre45 [30]
1 year ago
14

The graph of a quadratic function with vertex (1,-3) is shown in the figure below.

Mathematics
1 answer:
inysia [295]1 year ago
8 0

Answer:

Domain: (-∞, ∞), Range: [-3, ∞)

Step-by-step explanation:

Domain is all of the possible x-values in a solution set, in this case since the solution extends infinitely horizontally it would be:

(-∞, ∞)

The range is just all of the possible y-values in a solution set, which in this set starts from -3 and proceeds on infinitely, making the range:

[-3, ∞)

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This quiz is due in a hour, I'll up the points and will also mark BRAINLIEST
padilas [110]

Step-by-step explanation:

cosine=<u>Adjacent</u>

Hypotenuse

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bp%7D%7B5%7D" id="TexFormula1" title="\frac{p}{5}" alt="\frac{p}{5}" align="absmiddle
tatyana61 [14]

Answer:

p ≥ -10

Step-by-step explanation:

first, subtract one from each side to get:

p/5 ≥ -2

lastly, multiply each side by 5

p ≥ -10

6 0
3 years ago
(X^3+1)dividend (x-1)
bazaltina [42]

x^3=x\cdot x^2 and x^2(x-1)=x^3-x^2. So we have a remainder of

(x^3+1)-(x^3-x^2)=x^2+1

x^2=x\cdot x and x(x-1)=x^2-x. Subtracting this from the previous remainder gives a new remainder

(x^2+1)-(x^2-x)=x+1

x=x\cdot1 and 1(x-1)=x-1. Subtracting this from the previous remainder gives a new one of

(x+1)-(x-1)=2

and we're done since 2 does not divide x. So we have

\dfrac{x^3+1}{x-1}=x^2+x+1+\dfrac2{x-1}

4 0
3 years ago
The sum of 2 numbers is equal to 10. The difference between those same two numbers is equal to -4 find the numbers.
Akimi4 [234]

Answer:

3 and 7

Step-by-step explanation:

For problems like these I take the largest number in this case 10, and start writing out what 2 numbers would give me 10. 0+10, 1+9, 2+8, 3+7...while doing that I subtract the numbers as well. thus 3+7=10 3-7=-4

8 0
3 years ago
A veterinarian weighed a sample of 666 puppies. Here are each of their weights (in kilograms): 1, 2, 7, 7, 10, 151,2,7,7,10,151,
rjkz [21]

Answer:

The standard deviation of the weight, σ, is approximately 4.73 kg

Step-by-step explanation:

The weights of the six puppies are;

x_i = 1, 2, 7, 7, 10, and 15

The number of puppies, n = 6

Therefore, we have;

The mean = μ = ∑x/n = (1 + 2 + 7 + 7 + 10 + 15)/6 = 7

The standard deviation, σ, is given as follows;

\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu  \right )^{2} }{n}}

By substituting, we have;

\sigma =\sqrt{\dfrac{ \left (1-7  \right )^{2} + \left (2-7  \right )^{2} + \left (7-7  \right )^{2} + \left (7-7  \right )^{2} + \left (10-7  \right )^{2} + \left (15-7  \right )^{2} }{6}}

Simplifying gives;

\sigma =\sqrt{\dfrac{ \left (-6  \right )^{2} + \left (-5  \right )^{2} + \left (0  \right )^{2} + \left (0  \right )^{2} + \left (3 \right )^{2} + \left (8  \right )^{2} }{6}} =\sqrt{\dfrac{ 36 + 25 + 0 +0+ 9 + 64 }{6}}

\sigma =\sqrt{\dfrac{ 134 }{6}} = \sqrt{\dfrac{67}{3} } \approx 4.72582

The standard deviation of the weight, σ ≈ 4.73 kg to two decimal places.

4 0
3 years ago
Read 2 more answers
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