Answer:
(g o f)(5) = 47
Step-by-step explanation:
We are given a composite function:
g(x) = 4x + 3
f(x) = 3x - 4
We are supposed to find (g o f)(5), which really means g( f(x) ). So, we put the function of f(x) for every x in g(x), like this:
g(x) = 4x + 3
g( f(x) ) = 4(3x - 4) + 3
g( f(x) ) = 12x - 16 + 3
g( f(x) ) = 12x - 13
Now, we also need to evaluate for x = 5, like this:
g( f(5) ) = 12(5) - 13
g( f(5) ) = 47
The graph of a line and and exponential intersect twice, once, or not at all. Describe the possible number of intersections of each of the following pairs of graph. Your solution to each part should include all of the possibilities and a quickly sketched example of each one. (Part 1)(SHOW WORK)
a. A line and a parabola
b. Two different parabolas
a) A line can intersect a parabola at 2 points, 1 point, or no points respectively. The only possible way at which it intersects at 1 point, would be if it were tangent to the parabola. [Check first attachment]
b) Two different parabolas can intersect at 2 points, 1 point or no points respectively. [Check second attachment]
It is possible for 2 parabolas to intersect at 4 and even 3 points. But one of the parabolas would be on it's side. You can consider those cases.
PLEASE DO AS MUCH AS YOU CAN! THANKS!
Answer:
1. 2x+20
2. 8x-40
3. 7x+21
4. 8x-4
5. 15x+5
6. 12x+15
7. 20x-50
8. 21x+14
9. 24x-6
10. 45x-18
11. 18x-8
12. 30x+9
Explanation: Distributive Property
Which of the fractions accurately represents the ratio of the orange area to the light blue area in the circle graph shown?
A) 3/10
B) 2/7
C) 7/2
D) 26/5
Answer:A
Step-by-step explanation: Because you fill in 10 with 3 as many times as you can to get your answer.
c
Solve for m:
3/4m - 3 = 9
May I please have help!
Answer:
m=16
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3/4*m-3-(9)=0
Step 1: Simplify 3/4
Equation at the end of step 1: ((3/4 x m) - 3) - 9 = 0
Step2: Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
3 3 • 4
3 = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3m - (3 • 4) 3m - 12
—————4——————— = ———4————
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3•(m-16)
———————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3 • (m-16) = 0
6.2 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : m-16 = 0
Add 16 to both sides of the equation :
m = 16
A car travels a distance of d km in t hours. The formula that
relates d to tis d = kt. What kind of variation is it?
Answer:
Direct Variation
Step-by-step explanation:
Given: A car travels at a distance of [tex]d[/tex] km. The formula that relates [tex]d[/tex] to [tex]t[/tex] is [tex]d=kt[/tex]
To find: kind of variation
Solution:
The formula that relates [tex]d[/tex] to [tex]t[/tex] is [tex]d=kt[/tex]
Here, [tex]k[/tex] is a constant of proportionality.
Constant of proportionality is also called as constant of variation.
[tex]d[/tex] varies directly as [tex]t[/tex].
Therefore, this is a direct variation.
Helpshshdhdgdghseyeydgd
Answer:
To round 17.126 to the nearest tenth consider the hundredths’ value of 17.126, which is 2 and less than 5. Therefore, the tenths value of 17.126 remains 1.
17.126 rounded to the nearest tenth = 17.1
The following table contains starting numbers close to 17.126 rounded to the nearest 10th.
HELP PLZ and thank you
find the measure of the arc or central angle indicated. assume that lines which appear to be diameters are actual diameters.
Answer:
Step-by-step explanation:
Circle degrees total 360 .
360 - 126 -54-54 (other side of vertical angles) equals 126 degrees left for the other two remaining sections.
14x+4 +15x+6 =126
19x+10 = 126
29x = 116
x=4 . answer .
If AB is parallel to CD and the slope of AB is -3, what is the slope of CD?
Hey guys I need some heeeeeeelp please and thank you; Please explain
50 points
Answer:
8 full gas cans
Step-by-step explanation:
The volume of the rectangle is 8000 cm³. That divided by 1000 is 8...
In ADEF, the measure of <F=90°, the measure of <D=58°, and DE = 42 feet. Find the length of EF to the nearest tenth of a foot.
Answer: 35.6
Step-by-step explanation: because I got it wrong and it showed me the answer
The table below shows Greg's scores at a state golf tournament. What is Greg's
average score for the five rounds?
A. -4
B. -3
C. -2
D. -1
Answer: d
Step-by-step explanation:
You add all of his scores up and divide them by how many numbers there are which 3+1+ -3+ -2+ -4 equals -5 and you divide them by the five numbers which gives you one
Find the value of x.
The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?
36 ft
30 ft
38 ft
360 ft
Answer:
30 ft
Step-by-step explanation:
18 in=1.5 ft
20*1.5=30
Find the HIGHEST Common
and lowest common multple
of 36 and 48 using
prime factors
Answer:
Step-by-step explanation:
Least common multiple can be found by multiplying the highest exponent prime factors of 36 and 48. First we will calculate the prime factors of 36 and 48.
Prime Factorization of 36
Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:
36 = 22 × 32
Prime Factorization of 48
Prime factors of 48 are 2, 3. Prime factorization of 48 in exponential form is:
48 = 24 × 31
Now multiplying the highest exponent prime factors to calculate the LCM of 36 and 48.
LCM(36,48) = 24 × 32
LCM(36,48) = 144
List of positive integer factors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18
Factors of 48
List of positive integer factors of 48 that divides 36 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24
Greatest Common Factor Number
We found the factors and prime factorization of 36 and 48. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 48 is 12.
Answer:
the least is 144 the highest is 12
Step-by-step explanation:
I need help please help
Will 3in,4in,7in form a triangle.
Will 3in, 4in, 6in form a triangle
Will 1m, 2m, 3m form a triangle
Yes or no
Answer:
No, Yes, No
Step-by-step explanation:
3in by 4in by 5in will not make a triangle.
3in by 4in by 6in will make a triangle.
1m by 2m by 3m will not make a triangle.
The reason two of these triangles cannot be form is because the side lengths do not adhere to the triangle inequality theorem. This theorem states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side.
Guys!!! Please help!! Geesh I need help
Answer:
42
Step-by-step explanation:
9 - 4 = 5
8 - 5 = 3
9 + 2 + 3 + 7 + 8 + 3 + 4 + 6 = 42
Answer:
Its 42 ;l
Step-by-step explanation:
HELPPP I MAKE BRAINLIESTT
A seamstress charges a $5 fee per garment, plus $15 for each hour of work that the garment requires. The graph below shows the cost of having a single garment fixed by the seamstress, according to the number of hours of work that are needed.
Which linear function models the data?
A. c(t) = 5t
B. c(t) = 15t
C. c(t) = 5 + 15t
D. c(t) = 15 + 5t
Answer:
C. c(t) = 5 + 15t
Step-by-step explanation:
Well because the initial fee is $5, the answer must have the value of 5 without a variable next to it because this is the y-intercept.
(Only the slope will have the t next to it.)
Because $15 is charged EACH HOUR this would be the slope because there is a constant increase
Therefore c(t) = 5 + 15t
Answer:
C. c(t) = 5 + 15t
Step-by-step explanation:
She charges $15 per hour, so each hour (represented by "t") she earns 15 dollars. She also charges a $5 fee per germent. So she would get $5 plus 15 times however many hours she worked. So your answer would be c(t) = 5 + 15t.
How would the following triangle be classified?
A triangle has three unequal sides. One of the angles formed is 90 degrees; the other two angles are less than 90 degrees.
Answer:
Scalene. A scalene triangle has three different angles and none of its sides are equal in length
Jason owns a party supply store.
He sells balloons for $0.50 each and party hats for $1.25 each.
Jason buys each balloon for $0.10 and each party hat for $0.20.
Which expression represents how much money Jason gains from selling n balloons
and h party hats?
А
0.40n + 1.05h
B
0.60n + 1.45h
С
1.75nh
D
1.45h - 0.60n
Answer:
A.
Step-by-step explanation:
Balloons sell for $.50 - $.10 (Jason’s cost)= $.40 profit
Party hats sell for $1.25 - $.20 (Jason’s cost) = $1.05 profit.
Therefore, A. 0.40n + 1.05h is the correct answer
Please help me and give me explanation and stop giving me links you virus people. Please help me out.
Answer: Fifth
Step-by-step explanation: Second week really had the most sales, but it was not an option. Fifth week had the second most sales, and it WAS an option.
Answer:
Fifth.
Step-by-step explanation:
Second would have been the answer BUT second isnt a option.
What is the area of a rectangle with a length of 7 feet and a width of 3 ¾ feet?
Answer:
105/4 ft^2
Step-by-step explanation:
Multiply length and width: 7*15/4 = 105/4 ft^2
plz help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a 12/20 = 0.6
b 21/35 = 0.6
c 28.8/48 = 0.6
Which statement about the ordered pair (-6,8) is true?
Answer:
a
Step-by-step explanation:
solve for y in one equation
2x + y = -4
y = -4 - 2x
plug y into the other equation
5x + 3y = -6
5x + 3(-4 - 2x) = -6
5x -12 -6x = -6
-x - 12 = -6
-x = 6
x = -6
plug x into the equation to find y
y = -4 - 2x
y = -4 - 2(-6)
y = 8
ordered pair: (-6,8)
Please help with this question. This is due today!
Answer:
3x° = 60°
2x° = 40°
Step-by-step explanation:
3x + 80 +2x = 180° (Linear Pair)
5x + 80 = 180
5x = 180 - 80
5x = 100
x = 20
Substituting the value for x,
3x° = 3 × 20 = 60°
2x° = 2 × 20 = 40°
Four times w is 16.
Answer:
w = 4
Step-by-step explanation:
4w=16
w = 16/4
w = 4
Step-by-step explanation:
The question is unclear. If the original question is telling you to make the word expression into an algebraic expression, the answer would be 4w = 16. On the other hand, if it was asking you to solve the given equation, the answer would be w = 4.
Which of the following fractions are between 3/7 and 4/7?
Answer:
3.1-3.9/7 can be the answer.
Step-by-step explanation:
this is because you asked between and not exactly in half. 3.5/7 would be halfway
Find the area of the parallelogram
4 cm
7 cm
[?] cm2
Answer:
28cm^2
Step-by-step explanation:
Area = 4 x 7
=28
hope it helps u
3. Which statement is true?
A. The only factors of 3 are 3 and 1.
B. The only factors of 4 are 4 and 1.
C. The only factors of 6 are 6 and 1.
D. The only factors of 8 are 8 and 1.
Answer: A
Step-by-step explanation: 4 can be divided by 2, 6 can be divided by 3, and 8 can be divided by 4. 3 can only be divided by 3 and 1, so the answer is A.
Hope this helps :)
Answer:
A) 3 is a prime number which means its only factors are itself and one
Step-by-step explanation:
all other options are composite numbers and have 3 or more factors:
factors of 4: 1,2,4
factors of 6: 1,2,3,6
factors of 8: 1,2,4,8
Study figures A and B. Each shows a base and height
labeled. Which figure is correctly labeled?
O Figure A is correctly labeled.
O Figure B is correctly labeled
O Both figures are correctly labeled.
Answer: B
Step-by-step explanation:
Answer:
The Answer is option 2
Step-by-step explanation: