explain how to evaluate f(g(0)).
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
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Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
---------------------
We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
Travis bought 8 new books for $7.99 each. How much did he spend on books?
Answer:
$63.92
Step-by-step explanation:
which could be the name of a plane?
Answer: where are the options?
Step-by-step explanation:
Answer:
There is not enough information presented to give an answer
Step-by-step explanation:
If you add more information, I will try and answer it for you
Elena has $80 in a savings account. The interest rate is 5% per year and 1 point
is not compounded. How much Interest will she have in 2 years?
13. Solve 2/3 + 5/6 and put answer in simplest
form.
O A. 11/2
B.
c. 76
D.776
Answer:
3/2 or 1 + 1/2
i havent done fractions in a long time but this is what i got from memory
you turn the 2/3 into 4/6 so they can easily be added together to get 9/6 which can be simplified to 3/2 or in proper form 1 + 1/2
Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which expressions can represent the length and width of the garden? length = x2 – 3 feet; width = 2 feet length = 2x + 3 feet; width = x – 2 feet length = 2x + 2 feet; width = x – 3 feet length = 2x – 3 feet; width = x + 2 feet
D is the correct answer!
Hope this helped with the question you were looking for. Lmk on this problem if you need any help with any other questions!
The expression that can represent the length and the width are 2x - 3 and x + 2 respectively.
Area of a rectanglearea = lwwhere
l = length
w = width
Therefore,
area = 2x² + x – 6
Let's factorise
2x²- 3x + 4x - 6
x(2x - 3) + 2(2x - 3)
Therefore,
(x + 2)(2x - 3)
Therefore, the expression that can represent the length and the width are 2x - 3 and x + 2 respectively.
learn more on rectangle here: https://brainly.com/question/2605457
ASAP PLS HELP DUE TODAY. WILL GIVE BRAINLIEST IF A GOOD ANSWER EXPLENATION AND CORRECT ANSWER
Rewrite 7 − 8 using the additive inverse and display the new expression on a number line.
Select one:
a.
7 + (−8)
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at negative 1.
b.
7 + 8
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
c.
7 − (−8)
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
d.
8 − 7
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 8. Another arrow begins at 8 and ends at 1.
Answer:
[tex]7 + (-8)[/tex]
Step-by-step explanation:
Given
[tex]7 - 8[/tex]
(a): Write as additive inverse.
An additive inverse is of the form a + (-b)
In this case:
[tex]a = 7[/tex]
[tex]b = -8[/tex]
So, the expression can be represented as:
[tex]7 + (-8)[/tex]
(b): Number line representation
When the expression in (a) is solved.
The result is:
[tex]7 - 8 = 7 + (-8) = -1[/tex]
This means that the number line must accommodate 7 and -1.
Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.
Option (d) is a wrong representation of [tex]7 - 8[/tex]
Hence, (a) is correct
Evaluate the expression 3x2+5y for x = 4 and y = 2.
I need this answer ASAP
35.408 in expanded form
Answer:
30+5+0.4+0.00+0.008
I hoped this helped u :)
Step-by-step explanation:
Answer:
30 + 5 +.4 + .008
Step-by-step explanation:
Didn't see a comma so I'm assuming you wanted as decimal, if I messed up tell me it's late I'm not thinking the best rn.
Rusty hiked 3 3/4 miles in the morning and 2 1/4 miles in the afternoon. How much
farther did he hike in the morning than the afternoon?
Answer:
1 [tex]\frac{1}{2}[/tex] miles
Step-by-step explanation:
Convert 3 [tex]\frac{3}{4}[/tex] and 2 [tex]\frac{1}{2}[/tex] into improper fractions
Subtract them like a regualr equation
[tex]\frac{15}{4}[/tex] - [tex]\frac{9}{4}[/tex] = [tex]\frac{6}{4}[/tex]
Convert [tex]\frac{6}{4}[/tex] into a mixed number to get 1 [tex]\frac{1}{2}[/tex]
54 ÷ 6 x (12-4) + 2 =
Answer:
3
Step-by-step explanation:
1. 54÷6 =9
2. (12-4)=8
3. 9-8 = 1
4. 1+2 = 3
5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator
Answer:
a=72[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
56/6*(12-4)+2=n
56/6*8+2-2=n-2
56/6*8/8=(n-2)/8
x=9[tex]\frac{1}{3}[/tex]
x=(n-2)/8
y=74[tex]\frac{2}{3}[/tex]
y=n-2=a
a=72[tex]\frac{2}{3}[/tex]
Question 6 (2 points)
Find the inverse of y= 4x+8
y= 4x+2
y = (1/4) X-2
o a
y=4X-2
to inverse a equation make all y's x and andy x's y
Thus the inverse is
x=4y-8
Evaluated to
4y=x+8
y=
Write an equation of the line that passes through (1, -8) and is parallel to the line y = -3x - 7
Answer:
the desired new equation is y = -3x - 5
Step-by-step explanation:
The desired equation of this new (parallel) line has exactly the same form as the given line y = -3x - 7. Only the y-intercept will be different.
Starting with y = -3x - 7, replace x with the x-coordinate of the given point (1, -8) and y with the y-coordinate. We get:
-8 = -3(1) + C, where C is the new y-intercept and is to be determined.
Then C = -5, and the desired new equation is y = -3x - 5.
write -12 in a and b form
Answer:
whats ur question i dont understand
Step-by-step explanation:
idu
Answer:
thanks fOr the points
Step-by-step explanation:
Last week, Charlie put 15 gallons of gas in his car and paid $50.25. Yesterday, Charlie put 12 gallons of gas in his car and paid $40.20. If the price of gas remains the same, how much will it cost Charlie to put gas in his car next week? Select ALL that apply.
A
Charlie can put 8 gallons of gas in his car for $26.80.
B
Charlie can put 11 gallons of gas in his car for $38.65.
C
Charlie can put 14 gallons of gas in his car for $47.90.
D
Charlie can put 17 gallons of gas in his car for $56.95.
Answer:
A and D
Step-by-step explanation:
So I divided $50.25 by 15 and I got 3.35. Then I divided $40.20 by 12 and got 3.35 again. So I multiplied 8, 11, 14, and 17 by 3.35. I got the right answer for 8 (A) and 17 (D).
1) The probability that an individual is left-handed is 12%. In a randomly selected class of 30 students, what is the probability of finding exactly 4 left-handed students?
2) Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that exactly six of them will consider themselves knowledgeable fans.
Answer:
0.2047
0.2377
Step-by-step explanation:
1.
What we have here is a binomial distribution
Probability p = 0.12
N = number of students in the class = 30
Probability of finding 4 left handers
P(x = 4) = 30C4 x (0.12)⁴ x (0.88)²⁶
= 27405 x 0.00020736 x 0.03602047835
= 0.2047
2.
This is also a binomial distribution
N = 10 p = 0.65
P(of 6 knowledgeable fans)
= 10C6 x (0.65)⁶ x (0.35)⁴
= 210 x 0.0754189 x 0.01500625
= 0.2377
What is the distance between the points M (-21,-7) and N (-5,-7)?
A.28 units
B.16 units
C.26 units
D.14 Units
Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make
Answer:
6
Step-by-step explanation:
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find x. please help
Answer: 29
Step-by-step explanation: 180-146= 34-5 29.
Answer:
[A] 29
Explanation:
Equation: 180 = 146 + (x + 5)
The line adds up to 180, so we need to find what x is180 = 146 + (x + 5)
Switch Sides
146 + (x + 5) = 180
Remove Parenthesis
146 + x + 5 = 180
Group Like Terms
x + 146 + 5 = 180
Add: 146 + 5 = 151
x + 151 = 180
Subtract 151 From Each Side Of Equation
x + 151 - 151 = 180 - 151
x = 29
“The difference of -5 and -11.”
PLZ HELP if u know the answer
Answer: Library is (2, 5) Park is (2, -3) The answer is 5 and 3
Step-by-step explanation: Hope it helped! :)
Need answers for 5 and 6 please it’s algebra math hurry please
I NEED THE ANSWER ASAP PLZ!!!!!!
Answer:
its D trust me okkkkkkk
I think its A
I wouldn't go with i say tho
Express as a trinomial
(3x + 8)(2x + 1)
Answer:
6x^2+ 19x+8
Step-by-step explanation:
(3x+8)(2x+1) use foil method which gives you,
6x^2+16x+3x+8 then combine like terms which gives you,
6x^2+ 19x+8.
What is the equation of the line –3x–2y=30 in slope-intercept form?
Enter your answer in the box.
Answer:
y = - 1.5x - 15
Step-by-step explanation:
Step 1:
- 3x - 2y = 30 Equation
Step 2:
- 2y = 3x + 30 Add 3x on both sides
Step 3:
y = - 1.5x - 15 Divide 2 on both sides
Answer:
y = - 1.5x - 15
Hope This Helps :)
Answer: y = - 1.5x - 15
Step-by-step explanation:
First, we will add 3x to both sides of the equation.
-2y = 3x + 30
Next, we will divide 2 on both sides of the equation.
y = -1.5x - 15
Answer - y = -1.5x - 15
7,-6, 6 ___ ____>____ 1, ¼, ½ ____>____>____ -50,10,0 ____ _____>_____ -82,-93,-104 ____ _____>______ 11 ¼,11, 11 ½ ____ _____>______
Answer:0-0
Step-by-step explanation:
The two triangles are similar.
Solve for h.
Give an exact answer.
Answer:
[tex]\frac{1}{1.6} = \frac{h}{7.2}[/tex] ( since they're similar, they are proportional to each other)
1 (7.2) = h (1.6) (set the two up as a proportion and then cross multiply)
7.2 = 1.6h (divide both sides by 1.6)
h = 4.5 m (this is the answer)
Step-by-step explanation:
PLEASE HELP
Trials in an experiment with a polygraph include 98 results that include 23 cases of wrong results and 75 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results are correct less than % of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.
15 PTS!!!!!!!!!!!!
What is the product of -2/7 and -3/7?
Answer:
6/49
Step-by-step explanation:
-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.
If a number is not divisible by 10, can it be divisible by 20?
Answer:
no
Step-by-step explanation:
Answer:
No cannot
Step-by-step explanation:
