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If f(x) = 5x + 7 and g(x) = -2x - 4 Find f(g(x)) = -10x + [?] Enter
Answer:
[tex]f(g(x)) = -10x -13[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x + 7[/tex]
[tex]g(x) = -2x - 4[/tex]
Required
Find f(g(x))
This is calculated as:
[tex]f(x) = 5x + 7[/tex]
Substitute g(x) for x
[tex]f(g(x)) = 5(f(g(x)) + 7[/tex]
Substitute [tex]g(x) = -2x - 4[/tex]
[tex]f(g(x)) = 5(-2x - 4) + 7[/tex]
Open bracket
[tex]f(g(x)) = -10x - 20 + 7[/tex]
[tex]f(g(x)) = -10x -13[/tex]
Abraham Lincoln's statue in the Lincoln Memorial stands 19 feet tall. Emily creates a model of the statue for art class. If Emily creates her model in
exact proportion to the original with a a height of only 1 foot, which transformation did Emily make?
O None of the Above
O Reflection
O Translation
O Dilation
Science question : Give me an example of color being an physical property
Solve using elimination. –6x − 2y = 16 x − 2y = –19
Answer:
x = -5, y = 7 or you can say (-5, 7)
Madge leaves her home at 8:05 to go to school. The drive takes one-third hour each way. If she is at school for 7 hours, what time does she arrive home?
1/3 of an hour is 60/3 = 20 minutes.
8:05 + 20 minutes = 8:25
8 :25 + 7 hours = 3:25
3:25 + 20 minutes = 3:45
She arrives home at 3:45
Answer:
3:45
Step-by-step explanation:
8.05 + .20 = 8.25
8.25 + 7 = 15.25
Change from military time to standard time.
3.25 + .20 = 3.45
3:45
Can anyone help me figure out this problem
=============================================================
Explanation:
Refer to the diagram below.
Draw a line through point D such that it is perpendicular to side BC. This new line intersects BC at point E.
In other words, E is on BC such that segments DE and BC are perpendicular.
Notice how triangle CED is a right triangle with legs DE and EC. The hypotenuse is DC = 16.
Let h be the height of the trapezoid. It's also the height of triangle CED where EC is the base. In other words, h = length of DE.
--------------------------------------
Focus on triangle CED. We'll use the sine ratio to find h
sin(angle) = opposite/hypotenuse
sin(C) = DE/DC
sin(30) = h/16
0.5 = h/16
0.5*16 = h
8 = h
h = 8
The height of triangle CED is 8, so the height of the trapezoid is also 8.
--------------------------------------
Apply the area of a trapezoid formula
Area = height*(base1+base2)/2
A = h*(b1+b2)/2
A = 8*(27+21)/2
A = 8(48)/2
A = 8*24
A = 192
The trapezoid's area is 192 square units
2. Decide whether the exercise involves permutations or combinations, and then solve the problem.
In a club with 7 male and 11 female members, how many 6-member committees can be chosen that have
(a) all men?
(b) all women?
(c) 4 men and 2 women?
Does the problem involve permutations or combinations?
Answer:
I think they are all combination because order doesn't matter but I don't have a calculator with me to give you EXACT answers for all of them
Step-by-step explanation:
I think combinations because order doesn't matter; or it isn't mentioned. I could be wrong as I'm still learning and confused with finite as well. But to do these, you would do the formula of the probability of an event which is E= favorable outcome/total probabilities.. so for all men 7c6/18c6 and then do the same thing for the rest but for the right ratios and whatnot.
derivate f(x)=x^3-2x^2-x+1
Answer:
f(x)'=3x^2-4x
Step-by-step explanation:
dy/ dx or f(x)'=3x^2-4x
Please make answer as brainliest
Calculate 23 x 3/4
A. 30 2/3
B. 16 3/4
C. 18 2/4
D. 17 1/4
I'll give brainleist
Answer:
The answer is D. 17.25 or 17 1/4
Step-by-step explanation:
Answer:
17 1/4 (d)
Step-by-step explanation:
23 times 3/4= 17 1/4
Write the following as an algebraic equation: Fifteen less than a number x is 6
Answer:
x - 15 = 6
Step-by-step explanation:
Mark brainliest
I would really like some help with this problem!
Answer:
City B
Step-by-step explanation:
In City B, the population increases by 10,000 every year, which is a constant rate
In City A, every year it changes by a different number
find the equation of the axis of symmetry.
equation of axis of symmetry:
9514 1404 393
Answer:
x = -4
Step-by-step explanation:
The axis of symmetry is the vertical line through the vertex. The vertex is the turning point, or minimum, of the function. It is (x, y) = (-4, 0). The x-coordinate there is -4, so the equation of the axis of symmetry is ...
x = -4
7) Give the equation of a line that goes through (-3,8) with a slope of 2.
Answer:
y=2x+14.
Step-by-step explanation:
1. the equation of the required line in slope-interception form is:
y=s*x+i, where s - slope, i - interception;
2. according to the condition s=2, then the required equation is:
y=2x+i;
3. if the point (-3;8) belongs to the required line, it is possible to substitute their coordinates into the required equation and calculate the value of 'i':
8=2*(-3)+i; ⇒ i=14.
4. if s=2 and i=14, then the required equation of the line is:
y=2x+14.
A rectangular prism has a volume of 378 cubic inches the area of the base is 42 square inches what is the height
Answer:
9 inches.
Step-by-step explanation:
The formula for the volume of a rectangular prism is base x height. So if the volume is 378, and the base is 42, you would use the equation 378/42 to find the height. 378/42 is 9. Therefore, the height is 9 inches.
Answer:9!
Step-by-step explanation:
hope this helps!
2. Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (1, 10) and the granite boulder is at position (-5, 9). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary
Answer: The old oak tree and the granite boulder are [tex]\sqrt{26}[/tex] units apart.
Step-by-step explanation:
The distance between points (a,b) and (c,d) is given by :-
[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]
Given: The position of oak tree = (1, 10)
The position of granite boulder = (-5,9)
The distance between oak tree and granite boulder = [tex]\sqrt{(10-9)^2+(1-(-5))^2}[/tex]
[tex]=\sqrt{(1)^2+(1+5)^2}\\\\=\sqrt{1+25}\\\\=\sqrt{26}\text{ units}[/tex]
Hence, the old oak tree and the granite boulder are [tex]\sqrt{26}[/tex] units apart.
HELP WILL MARK BRAINLIEST!
Find the area. Simplify your answer.
Answer:
x²+8
Step-by-step explanation:
You borrow $3600 for 250 days at 8%. How much interest will you have to pay if the rate
is calculated using exact interest? Using ordinary interest?
Answer: i think $3312 if im wrong then sorry
Step-by-step explanation:
HELP ASAP PLEASE ////////
Answer: 1.25 or 1 ¼
Step-by-step explanation:
This is because volume is (length x width x height).
So you would take (5 ½ times 2 ½ time 9).
This would give you 123.75 or 123 ¾.
Then you would take (125 - 123.75).
Answer:
What The above punk said might be the answer
I need help with this math question please
Answer:
$1,800 is the correct answer.
A school has $500,000 to spend on technology. The school bought 400 laptop computers for $677 each, 20 printers for $93.49 each, and 10 scanners for $115.65 each. How much money does the school have left to spend on technology?
Answer:
500000-(400*677)-(20*93.49)-(10*115.65)=226173.7
Step-by-step explanation:
Money left 226173.7 usd
Answer:
$226,173.70
Step-by-step explanation:
400 * 677 = 270,800
20 * 93.49 = 1869.80
10 * 115.65 = 1156.50
270,800 + 1869.80 + 1156.50 = 273,826.30
500,000 - 273,826.30 = 226,173.70
plzz help and give me answers i will mark u as a brainliest and 5.0 stars and thanks also plzz fast
Step-by-step explanation:
mode= -3 (most common number)
only one; -1 on Sunday
Answer:
-3 is the mode
4 is the second answer
Step-by-step explanation:
Hope this helps plz let me know
Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).
Answer:
Removing answer.
Factor the polynomial.
Зx4+6x3+9x2
Please help me with this one, I’m really stuck on it.
Y=1/2x+2 which graph represents the function
Answer:
Graph number 1
Step-by-step explanation:
According to the equation the y-intercept is 2. The only graph with the y-intercept of (0,2) is the first graph. So, graph number 1 represents the function.
Answer:
the first one
Step-by-step explanation:
+2 means the y-intercept is at 2
the first one is the only one with a y-intercept of 2
hope that helped
if it did, crown me brainliest please. it helps.
10 ft 6ft 5ft 17.5 ft 5.5ft 5.5ft 19ft
Answer:
17.5?
Step-by-step explanation:
What is statement #4???
I’ll give best answer brainliest!!
there's got to be someone who can answer this
What’s the answer to this?
Answer:
f(0) = 4
Step-by-step explanation:
f(0) implies that we should find the corresponding f(x) value of when x = 0.
From the table given, when x = 0, f(x) = 4. This is (0, 4).
Thus:
f(0) = 4
What’s the answer to this?
Answer:
8V13
Step-by-step explanation:
I just used a calculator.