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3 years ago

F(x) = x^2 +3x-2 F(a) = ? find F(x) for the given domain.

Mathematics

1 answer:

Delvig [45]3 years ago

3 0

Answer:

Step-by-step explanation:

Given the expression:

g(x) = x^2 +3x-2

We are to find f(a). To get this, we will simply replace x with a in the expression as shown;

g(a) = a^2 +3a-2

<em>hence the required domain is expressed as g(a) = a^2 +3a-2</em>

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Given the expression (8 + 6i) − (−2 + 7i), perform the indicated operation and write the answer in the form a + bi

Oliga [24]

We can distribute the negative to get 8 + 6i + 2 - 7i, and we can simplify that to get 10 - i.
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Hope this helps!

6 0

3 years ago

Write an equation of the line through the point (5, 3) that is perpendicular to the line –3x+7y=5.

Fed [463]

Answer:

7x + 3y = 44

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Rearrange - 3x + 7y = 5 into this form by adding 3x to both sides

7y = 3x + 5 ( divide all terms by 7 )

y = $\frac{3}{7}$ x + $\frac{5}{7}$ ← in slope- intercept form

with slope m = $\frac{3}{7}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{3}{7} }$ = - $\frac{7}{3}$ , thus

y = - $\frac{7}{3}$ x + c ← is the partial equation

To find c substitute (5, 3) into the partial equation

3 = - $\frac{35}{3}$ + c ⇒ c = 3 + $\frac{35}{3}$ = $\frac{44}{3}$

y = - $\frac{7}{3}$ x + $\frac{44}{3}$ ← in slope- intercept form

Multiply through by 3

3y = - 7x + 44 ( add 7x to both sides )

7x + 3y = 44 ← in standard form

6 0

3 years ago

Read 2 more answers

How to create an equation for function m? I wrote the right equation as a guess, but I don't understand it.

AfilCa [17]

Answer:

$h(x)=2(x + 3)^{\frac{1}{2} }$

Step-by-step explanation:

Parent function of the square root function has been given as,

f(x) = $x^{\frac{1}{2} }$

If the graph of the given function is stretched vertically by the scale factor = g(x) = $k(x^\frac{1}{2})$

If the graph is shifted 3 units to the left,

h(x) = $k(x + 3)^{\frac{1}{2} }$

Since, the graph of the function passes through a point (-2, 2),

$2=k(-2 + 3)^\frac{1}{2}$

2 = k

Therefore, the function is $h(x)=2(x + 3)^{\frac{1}{2} }$ .

7 0

3 years ago

In the diagram, the figures are similar. Use proportions to find x.

RoseWind [281]

Answer:

x~11

Step-by-step explanation:

22:17=14:x

22/17=14/x

22x=17*14

22x=238

22x/22=238/22

x=238/22

x=10.818181818181818

x~11

4 0

3 years ago

What is the value of -9 r - 7 when r = 2?

sashaice [31]

Answer:

I thinks its r = 11

Step-by-step explanation:

So you just need to take the number to the r and multipliy it by r So,

9x2=18

then minus it by the other number which would Be 7 so.

18-7=11

3 0

3 years ago