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2 years ago

Solve the inequality

Mathematics

1 answer:

Andrej [43]2 years ago

7 0

4(x+2)>12

4x + 8 > 12

4x > 4

x > 1

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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

vekshin1

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3 years ago

Find the slope of the line that passes through (−1, 3) and (1, 13).

Scrat [10]

Answer:

Step-by-step explanation:

Slope = (change in y)/ (change in x)

= (13 - 3)/(1 - (-1))

= (13 - 3)/(1 + 1)

= 10/2

= 5

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3 years ago

200_____ times as much as 2

artcher [175]

200 Is 100 times as much as 2,

200 / 2 = 100

and

100 x 2 = 200

5 0

3 years ago

Read 2 more answers

Write the equation for the parabola that has x− intercepts (−2,0) and (1.2,0) and y− intercept (0,−4).

schepotkina [342]

Answer: The answer is $15y+4=25(x-1.6)^2.$

Step-by-step explanation: We are to find the equation of the parabola with x-intercepts (-2,0), (1.2,0) and y-intercept (0,-4).

Therefore, axis of symmetry is

$x=\dfrac{1.2+2}{2}\\\\\Rightarrow x=1.6.$

Let the equation of the parabola be $y=a(x-1.6)^2+k.$

Substituting the points (x,y)=(0,-4) and (1.2,0) in the above equation, we find that

$-4=a(0-1.6)^2+k\\\\\Rightarrow k=-2.56a-4$

and

$0=a(1.2-1.6)^2+k\\\\\Rightarrow k=-0.16a.$

Solving the above two equations, we get

$a=-\dfrac{5}{3}~~\textup{and}~~k=-\dfrac{4}{15}.$

So, putting the values of 'a' and 'k' in the equation of the parabola, we get

$y=-\dfrac{5}{3}(x-1.6)^2-\dfrac{4}{15}\\\\\Rightarrow 15y+4=-25(x-1.6)^2.$

Thus, the equation of the parabola is $15y+4=25(x-1.6)^2.$

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4 years ago

The Venn diagram shows the number of employees who ranked skills important for their careers in the field. C

Contact [7]

Answer:

Step-by-step explanation:

In the picture attached, the Venn diagram is shown.

We can see in the picture that the intersection between C and M (symbolized by C∩M) is made by two regions, one with 22 employees and another one with 25 employees, then 22+25 = 47 satisfy C∩M

6 0

3 years ago