F(x)= -4x²-7 find, Help Please!!a.f(x)-f(a)/x-a =

b. f(x-h)-f(x)/h =

Answers

Answer 1

Answer:

Step-by-step explanation:

a. (-4x^2-7) - (-4a^2-7) / x-a

b. (-4(x-h)^2-7) - (-4x^2-7) / h

since there are no numbers to plug in for the variables (a, h, x) there is no possible numerical value for the equations. The format of the equations seems familiar in the sense of limits for calculus, but I could be wrong.

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I REALLY NEED HELP WITH THIS I HAVE NO CLUE WHAT IM DOING PLEASE HELP!!!!!!!!!!!!! F(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4. what is f(x)-g(x)? show all of your steps and write your final answer in factored form

Emily has 12 fruits in her bowl. She has 3 apples, 5 bananas, 1 pear and 3 oranges. A fruit is selected at random. What is the probability that the fruit is an orange or a pear? A. 56 B. 23 C. 12 D. 13

Answers

Answer: The probability that the fruit is an orange or a pear is $(1)/(3)$ .

Step-by-step explanation:

Given : Emily has 12 fruits in her bowl.

She has 3 apples, 5 bananas, 1 pear and 3 oranges.

A fruit is selected at random.

P(orange) = $\frac{\text{Number of oranges}}{\text{Total fruits}}$

$=(3)/(12)$

P(pear)= $\frac{\text{Number of pears}}{\text{Total fruits}}$

$=(1)/(12)$

Since both events of selecting orange and pear are mutually exclusive , so

The probability that the fruit is an orange or a pear = P(orange) + P(pear)

$=(3)/(12)+(1)/(12)=(4)/(12)=(1)/(3)$

Therefore , the probability that the fruit is an orange or a pear is $(1)/(3)$ .

How does

h(x)=-(x-3)^2+4

compare to the graph

g(x)=x^2

Answers

Top equation opens down and the second opens up

A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).a = and b =

Answers

Answer:

Hence, we have:

a= 3 and b= 4

Step-by-step explanation:

It is given that:

A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).

i.e.

$(a+ib)(2+3i)-i=(-11+5i)(1-i)\n\ni.e.\n\na(2+3i)+ib(2+3i)-i=-11(1-i)+5i(1-i)\n\ni.e.\n\n2a+3ai+2bi+3bi^2-i=-11+11i+5i-5i^2$

Since, we know that :

$i^2=-1$

Hence, we have:

$2a+3ai+2bi-3b-i=-11+11i+5i+5\n\ni.e.\n\n(2a-3b)+i(3a+2b-1)=-11+5+11i+5i\n\ni.e.\n\n(2a-3b)+i(3a+2b-1)=-6+16i$

i.e. we have:

$2a-3b=-6---------(1)$

and

$3a+2b-1=16\n\ni.e.\n\n3a+2b=16+1\n\ni.e.\n\n3a+2b=17------------(2)$

On multiplying equation (1) by 2 and equation (2) by 3 we get:

$13a=39\n\ni.e.\n\na=3$

on putting the value of a into equation (1) we get:

$2* 3-3b=-6\n\ni.e.\n\n6-3b=-6\n\ni.e.\n\n-3b=-6-6\n\ni.e.\n\n-3b=-12\n\ni.e.\n\nb=4$

(a+bi)(2+3i)-i=(-11+5i)(1-i)
2a+3ai+2bi+3bi²-i=-11+11i+5i-5i²
2a+(3a+2b-1)i-3b=-11+16i+5
(2a-3b)+(3a+2b-1)i=-6+16i
Therefore; we have the next system of equations:
2a-3b=-6
3a+2b-1=16

Finally, the system of equations is:
2a-3b=-6
3a+2b=17
We can solve this system of equations by reduction method
2(2a-3b=-6)
3(3a+2b=17)
----------------------
   13a=39 ⇒a=39/13=3

3(2a-3b=-6)
-2(3a+2b=17)
----------------------
   -13b=-52 ⇒ b=52/13=4

Answer: a=3;    b=4

When all dimensions of a figure change proportionally, the figure is _______ the original figure.A)similar to
B)half the area of
C)longer, but the same width as
D)congruent to

Answers

similar to im pretty sure

Which expression correctly represents the product 12(8 5) after applying the distributive property?

Answers

Answer:

Distributive Propety

Step-by-step explanation:

We are given the following information in the question:

Distributive Property:

It helps us to perform complicated maths problem easily.

The distributive property allows us to multiply a sum by multiplying each addend separately and then adding the products separately.
$a* (b+c) = (a* b) + (a* c)$
Example:

$5* 8 =5* (2+6) = (5* 2) + (5* 6) = 10 + 30 = 40$

The given problem can be solved as:

$12* (8+5)\n=(12* 8) + (12* 5) \n= 96 + 60\n=156$

u don't use the distributive property here order of operations says do operations in parentheses FIRST 12(8 +5) = 12(13) = 156 12(8 +5) = 12(8) +12(5) = 96 +60 = 156

Using the inverse trig functions, find the measure of the missing angle.