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vitfil [10]
2 years ago
9

The graph shows the function

= {q}^{x} " alt=" y = {q}^{x} " align="absmiddle" class="latex-formula">
Find value of q​

Mathematics
1 answer:
Alex777 [14]2 years ago
5 0

Answer:

Step-by-step explanation:

Graph in the picture represents,

y = qˣ

a). Point of intersection of the curve with the y-axis → (0, 1)

b). Since, this graph passes through (1, 4)

    By substituting values in the equation,

    4 = q¹

    q = 4

c). Value of y when x = 10,

   y=4^{10}

   y = 1048576

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What is the slope and y-intercept form for : y=-2/4x+5 PLEASE HELP IT WOULD ME SO MUCH THANK YOU!!!!
ddd [48]

Answer:

  y = -1/2x +5

Step-by-step explanation:

Slope-intercept form is ...

  y = mx + b

Matching this to the equation you have, you see that ...

  m = -2/4 = -1/2

  b = 5

The equation is already in slope-intercept form. The fraction that is the slope can be reduced, but that is not essential to the form.

7 0
2 years ago
Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the following conditions.
frosja888 [35]

Answer:

The polynomial will be f(x) = \frac{4}{9}x(x - 2)^{2}.

Step-by-step explanation:

The three degree polynomial function f(x) has zeros at x = 0 and at x = 4 having multiplicity 2.

Therefore, (x - 0) and (x - 4)² will be factors of the polynomial f(x).

Hence, the polynomial will be f(x) = Ax(x - 4)² .............. (1), where A is any constant that we have to evaluate.

Now, given that f(5) = 20

So, from the equation (1) we have

20 = A(5)(5 - 2)²

⇒ A = \frac{4}{9}

Therefore, the polynomial will be f(x) = \frac{4}{9}x(x - 2)^{2} (Answer)

4 0
3 years ago
What is the slope of the line passing through the points (2, 5) and (0, −4)?
Alexus [3.1K]
Plug the two points into the slope formula.

m = y2-y1/x2-x1

m = (-4 - 5)/(0 - 2)

m = -9/-2

m = 4.5

So the slope is 4.5
7 0
2 years ago
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pishuonlain [190]
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6 0
3 years ago
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d1i1m1o1n [39]
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