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4 years ago

Find the range for f(x) = x2 + 1, for x < 0. y ≥ 1 y > 1 y < 1 y ≤ 1

1 answer:

6 0

Here, you have to determine values of f(x) for negative domain. Domain are those values of x for which function is defined.
Since the function is a polynomial, every value of x∈R is defined for f(x).
And for every negative value of x, f(x) will always be positive because x is squared and square of negative real number is always positive.
0 is neither negative nor positive. Therefore, zero is not included in negative domain. If you plug say x= -0.00000956, f(x) will be greater than 1 because square of x will never be negative.
Thus, the range will always be positive or greater than equal to 1.
Therefore, y≥1

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And slope of the linear equation y+8=3(x−5) ?

Triss [41]

Answer:

slope: 3; vertex: (5, -8)

Step-by-step explanation:

Compare the given y+8=3(x−5) to the slope-vertex form y - k = m(x - h). We see that the slope, m, must be 3 and the vertex must be (h, k): (5, -8).

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3 years ago

what is the volume measured in cubic centimeters, of the box below? do not include units in your answer

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

V = lwh

V= 4x3x5

V=60

7 0

3 years ago

Read 2 more answers

Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (2, 3)

lozanna [386]

Standard equation of a circle: (x-h)² + (y-k)² = r² where (h, k) is the center and r is the radius. In the case of our equation here, (x-5)² + (y+3)² = 25, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.

We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.

Distance = $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Distance = $\sqrt{(-3-3)^2+(5-2)^2}$

Distance = $\sqrt{(-6)^2+3^2}$

Distance = $\sqrt{36+9}$

Distance = $\sqrt{45}\approx6.7082$

$6.7082>5,\ so\ (2,3)\ is\ on\ the\ \boxed{exterior}$

8 0

3 years ago

Whilst shopping, the probability that Caroline buys fruit is 0.4. The probability that Caroline independently buys a CD is 0.2.

AleksandrR [38]

Answer:

probability that Caroline buy both CD and fruit = 0.52

Step-by-step explanation:

We have given that the probability of Caroline buys a fruit P = 0.4

So probability of Caroline does not buy the fruit = 1 - 0.4 = 0.6

Probability Caroline buys a CD P = 0.2

So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8

So probability that Caroline does not buy either buy CD or fruit = 0.8×0.6=0.48

So probability that Caroline buy both CD and fruit =1-0.48 = 0.52

7 0

3 years ago

it rained for 7 days during the month of april . About what percent did it rain ( hint aprill has 30 days ) round to the nearst

oee [108]

Answer:

Convert fraction (ratio) 7 / 30 Answer: 23.333333333333%

Step-by-step explanation:

7 0

3 years ago