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Licemer1 [7]
2 years ago
5

Find the slope of the line through each pair of points. (0, -3), (16, 1)

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
6 0
The slope of the line is 1/4
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If you have 9/10 of a pound of granola how many 1/5 pound bags can you fill ?
Lostsunrise [7]

Answer:

4

Step-by-step explanation:

1/5 is the same as 2/10. How many 2's can you put in 9? You can put 4.5 2's in a 9. However, filling half a bag does not fill the entire bag, so the answer would be 4. You can fill 4 full 1/5 pound bags with 9/10 pounds of granola.

3 0
3 years ago
Eight less than 7.2 times a number is -29.6 wrote out in numbers
enot [183]
7.2x - 8 = -29.6  that is your answer wrote out in numbers.
5 0
3 years ago
Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function f(
alekssr [168]

Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−

<em><u>Answer:</u></em>

vertex = (-4, -5)

Axis of symmetry = -4

use the (-4, -5) to find the minimum value

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

<em><u>Solution:</u></em>

Given function is:

f(x) = (x+4)^2 - 5

The equation in vertex form is given as:

y = a(x-h)^2+k

Where, (h, k) is constant

On comparing give function with vertex form,

h = -4

k = -5

Vertex is (-4 , -5)

Axis of symmetry : x co-ordinate of vertex

Thus, axis of symmetry = -4

The coefficient of x^2 is positive in given function.

Thus the vertex point will be a minimum

Minimum\ value = f(\frac{-b}{a})

f(x) = x^2 + 8x + 16 - 5\\\\f(x) = x^2 + 8x + 11

f(x) = ax^2+bx+c

On comparing,

a = 1

b = 8

x = \frac{-b}{2a} = \frac{-8}{2 \times 1} = -4

f(-4) = (-4)^2 + 8(-4) + 11 = 16 - 32 + 11 = -5

Thus, use the (-4, -5) to find the minimum value

Domain and range

f(x) = (x+4)^2 - 5

The domain is the input values shown on the x-axis

The range is the set of possible output values f(x)

Therefore,

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

4 0
2 years ago
Which function is the inverse of y = 1/4x^2 - 1, where x &lt; 0
kykrilka [37]

Answer:

B

Step-by-step explanation:

25 x 25= 625

625-1= 624

B= y= -(200 + 1) which to the square root = 625

5 0
2 years ago
The ratio of boys to girls in the
9966 [12]

Answer:

Answer : 52 girls

Step-by-step explanation:

Your ratio of boys to girls is 3:4

Set up a fractional proportion and cross multiply

3/4 = 39/x

cross multiply

3x = 4(39)

3x = 156

x = 156/3

x = 52 girls

Hope this was helpful!❤

5 0
3 years ago
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