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2 years ago

A shop sells 3 pairs of boots at size 6, 5 pairs at size 7. 8 pairs at

Mathematics

1 answer:

alina1380 [7]2 years ago

4 0

modusAnswer:

median=8

modusmodusmodus=8

Step-by-step explanation:

6,6,6,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,11

median=[ttTTeTTextTTeTTexteTexTTeTTextTTeTTexteTex]X_{\frac{21+1}{2}}=X_11

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A quadratic function is defined by

ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0

3 years ago

Whats the slope for this question?

Nastasia [14]

Answer:

Slope: 1

Step-by-step explanation:

A variable is always worth 1 if there is no number in front of it. In this case there is no number, so just draw in a one.

6 0

3 years ago

Read 2 more answers

Which function corresponds to the table of inputs and outputs?

Anarel [89]

Answer:

f(x) = 3x + 2

Step-by-step explanation:

That's easy to find out. You have your input number, which is your x value, and you have your output number which is your y value (or f(x)).

All you have to do is see if each of the proposed answer works for ALL entries in the data set.

f(x) = 3x + 2

for x = 3 ===> 11 = 3 (3) + 2 = 11 YES

for x = 5 ===> 17 = 3 (5) + 2 = 17 YES

for x = 7 ===> 23 = 3 (7) + 2 = 23 YES

for x = 9 ===> 29 = 3 (9) + 2 = 29 YES

f(x) = 2x + 5

for x = 3 ===> 11 = 2 (3) + 5 = 11 YES

for x = 5 ===> 17 = 2 (5) + 5 = 15 NO - we stop here for this function

f(x) = x + 7

for x = 3 ===> 11 = (3) + 7 = 10 NO - we stop here for this function

f(x) = 3x + 1

for x = 3 ===> 11 = 3 (3) + 1 = 10 NO - we stop here for this function

7 0

3 years ago

By the Triangle Inequality Theorem which set of side lengths could create a triangle?

Nonamiya [84]

Answer: B

Step-by-step explanation:

the sum of any two sides is bigger than the third side... so 5+9= 14, bigger than 6. 5+6=11, greater than 9. 9+6=15, bigger than 5.

4 0

3 years ago

Read 2 more answers

Can someone help me with these please?

saul85 [17]

Point-slope form: y-y1 = m(x-x1)

Standard form: ax + by = c

Slope-intercept form: y = mx+b

Start by finding the slope. We know it is negative since the line is decreasing. The slope is -4/3.

To create point-slope form, we need to get one point from the graph. Let's use (3,0).

$y = -\frac{4}{3}(x-3)$

To create slope-intercept form, we need the slope and the y-intercept. The y-intercept is the point where our equation crosses the y-axis. For this equation, it is 4.

$y = -\frac{4}{3}x + 4$

To get standard form, solve the equation in terms of C.

Point-slope form: y = -4/3(x-3)

Slope-intercept form: y = -4/3x + 4

Standard form: 4/3x + y = 4

7 0

3 years ago