What value do you get when you evaluate the composition "f of g of negative threef (x) -3x2-5 g (x) --4xf(g(-3))
Answers
f(g(-3))=what
so first -3 into g(x)
g(-3)=-4(-3)
g(-3)=12
sub for x in f(x)
f(12)=-3(12)^2-5
f(12)=-3(144)-5
f(12)=-432-5
f(12)=-437
Related Questions
Which of the following is x⁴ + y⁴ identically equal to?(A) (x² + y²)(x + y)(x - y) (B) (x² + xy + y²)(x² - xy + y²) (C) (x² + √2xy + y²)(x² - √2xy + y²) (D) (x² + √3xy + y²)(x² - √3xy + y²) (E) (x + y)²(x-y)² Can someone explain me how to make it step by step?
Line ET is tangent to circle A at T, and the measure of Arc TG is 70°.What is the measure of ∠GET?A. 55°B. 20°C. 35°D. 110°
Factor 12y+6 using the gcf
Jen ran 9 miles in 117 minutes , if her speed remained the same throughout the run , what was her pace?
Answers
x is the unknown number
Answers
Question 2 is correct. Triangles congruent by SAS --> BA cong BC = 12
Question 3 Line BM intersects point D
Questions 4-6 Attachement 1 is an example with these triangles and their circumcenters as det. by their perp. bisectors. As you can see:
The POC of a right triangle lies on the triangle, acute, inside, and obtuse, outside.
Question 7-8 First off: DF = 6, not BD.
We can clearly see 6 congruent triangles within this equilateral one.
BD corresponds to AD and = 11.5
So does DC.
Question 9-10 See attachement 2
Question 11 Sometimes -- see the right triangle in attachment 1
Question 12 Never -- See attachment 4, of course you can always just draw one for yourself. Just draw an acute, right, and obtuse triangle!
Question 13 Always -- See attahcment 3
Question 14 Never -- See attachment 3
Question 15 Sometimes -- see obtuse triangle in attachment 1
B.) {(3, -3), (9, -6), (3, -9)}
C.) {(3, -3), (9, -6), (9, 2), (0, -9)}
D.) {3,9,0,-4}
Answers
Answer:
The function is expressed by answer A
Step-by-step explanation:
A function is a mathematical expression in which, for an independent variable , usually called x, we obtain one and only one value after applying the function, usually known as the dependent variable y.
D is not a function as we do not have two corresponding values or coordinate pairs. We only have a list of numbers
In C, B and A we have pairs of coordinate values expressed as (x,y) the independent and dependent variable.
In expression B, we see that the for the value of x=3 in ponts 1 (3.-3) and (3.-9) , the value 3 has two resulting values of y , -3 and -9, so this coordinates do not represent a function.
In option C, occurs something similar in this case with x =9. x=9 has two values in y : y=-6 and y= 2 so these points do not define a function
In A each x value (3.9.0) has a unique avlue of y (-3,-6,-9) so this is a function.
Answers
We need to make the units the same! This is crucial! If you do not have the proper units the whole answer is wrong!
45 minutes : 60 minutes
These are both divisible by 15:
3 minutes : 4 minutes
So, the ratio is 3 : 4
Final Answer: 3:4
45 to 1 hour
45:1
Final answer: 45:1
1 hours per week [ ?] weeks per year
Answers
Answers
Let's try it with an example.
Given the numbers 143, 876, and 534, their digit sums would be:
144 : 1 + 4 + 3 = 9 (same as 0)
876 : 8 + 7 + 6 = 21; 2 + 1 = 3
534 : 5 + 3 + 4 = 12; 1 + 2 = 3
Getting the digit sum is actually getting the number modulo 9, which in other words, is the remainder of that number divided by 9. Since you now have an understanding of the digit sum, how can it be used to check the sum of the problem above?
By comparing the sum of the digit sums of the addends and the digit sum of the obtained sum, you can determine if the arithmetic process was done correctly. Let us do this below:
104 + 34 + 228 + 877 = 1243
Using the digit sum method:
104 : 1 + 0 +4 = 5
34 : 3 + 4 = 7
228 : 2 + 2 + 8 = 12; 1 + 2 = 3
877 : 8 + 7 + 7 = 22; 2 + 2 = 4
adding the digit sums of the addends:
5 + 7 + 3 + 4 = 19; 1 + 0 = 1
Comparing with the digit sum of the sum (1243):
1 + 2 + 4 + 3 = 10; 1 + 0 = 1 (OK)
As we can see, the digit sums are the same, so we can say that the arithmetic process has been done correctly.