Answer:
c=2, d=16
Step-by-step explanation:
The value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
f(x) = 2x + c...(1)
g(x) = cx + 7..(2)
fg(x) = 4x + d..(3)
We need to find the values of c and d
fg(x) = 2(cx+7) + c
Apply distributive property
fg(x) =2cx+14+c...*
Now compare * with equation 3
2cx=4x
2c=4
Divide both sides by 2
c=2
and 14+c=d
Substitute c in above equation
14+2=d
d=16
Hence, the value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d
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I need help on this I would appreciate if you could Help me thank you
Answer:
(x1, y1)=(-1, -2)
(x2, y2)=(3, 6)
Step-by-step explanation:
y=2x
y=x^2-3
Since both of the expressions 2x and x^2-3 are equal to y, set them equal to each other forming an equation in x
2x=x^2-3
solve the equation for x
x=-1
x=3
Substitute the given value of x into the equation y=2x
y=2 x (-1)
x=3 y=2 x 3
Solve the equation for y
y=-2
y=2 x 3 y=6
The possible solutions of the system are the ordered pairs (x, y)
(x1, y1)=(-1, -2)
(x2, y2)=(3, 6)
Check if the given ordered pairs are the solutions of the system of equations
-2=2x(-1)
-2=(-1)^2-3
6=2x3
6=3^2-3
Simplify the equalities
-2=-2
-2=-2
6=2x3
6=3^2-3
-2=-2
-2=-2
6=6
6=6
Since all of the equalites are true, the ordered pairs are the solution of the system
(x1, y1)=(-1, -2)
(x2, y2)=(3, 6)
estimate 70 divided 30
Answer:
1.4 estimate: 1
Step-by-step explanation:
Mariah has a spinner that has 10 equal sections, each containing a different number from 1 to 10. Mariah determines about how many times the spinner will land on a number that is greater than 7 in 250 spins, and her work is shown below.
P (number greater than 7) = StartFraction Number greater than 7 over Total number of sections EndFraction times number of spins = StartFraction 4 over 10 EndFraction (250) = 100.
What mistake did Mariah make, if any?
Mariah has the formula reversed; it should be the total number of sections over the numbers greater than 7.
Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.
Mariah should multiply by the number of sections in the spinner rather than the total number of spins.
Mariah calculated the prediction correctly and did not make any mistakes.
Answer:
Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.
Step-by-step explanation:
Edge my friends
Answer:
Its B
Step-by-step explanation:
which expression is equivalent to the phrase 4 times the sum of 7a and 3B
Answer:
4(7a + 3b) = 28a + 12b
Step-by-step explanation:
The sum of 7a and 3b: 7a + 3b
4 times the sum of 7a and 3b: 4(7a + 3b)
Expanding this out:
4(7a + 3b) = 28a + 12b
Three times a number increased by 8 is no more than the number 32. Find the possible answers.
Answer:
3n + 8 ≤ 32
Step-by-step explanation:
You multiply the 3 and the n together then add the 8 and it can't be more than 32 but it can be equal to 32
find the length of the unknown side
-5x-4y=-7 on a graph
Answer:
Graph is attached below.
Step-by-step explanation:
If you want to solve for the variable x,
x = −4 / 5y + 7 / 5
Factor 28+56t+28w, to identify the equivalent expressions.
Answer:
28(1 + 2t +w)
Step-by-step explanation:
28 + 56t + 28w.
Factor out a 28 from the expression.
28(1 + 2t + w)
A dump truck can hold 2 tons of gravel. The pay loader loading the truck puts 750 pounds of gravel in the truck at one time.
How many loads does the pay loader need to dump in the truck before it is full?
Answer:
6
Step-by-step explanation:
Let f(x) = x^2 and g(x) = x - 5 Find (f o g)(-2)
Answer:
[tex]Solution,\\f(x) = x^{2}\\g(x) = x-5\\Now, \\fog(x) = f[g(x)] = f(x-5) = (x-5)^{2} \\Put~x=-2,\\fog(-2) = (-2-5)^{2} = (-7)^{2} = 49[/tex]
The daily cost of renting a car is $25.00 plus $0.30 per mile driven. What is the cost of renting the car for one day and driving at 75 miles?
Answer: The cost of renting the car for one day and driving at 75 miles = $ 47.5 .
Step-by-step explanation:
GIven: Daily cost of renting car = $ 25.00 + $0.30 per mile driven
Let x = Total distance traveled ( in miles).
Then total cost of renting (in $)= 25+0.30x
For x= 75 miles
The total cost of renting (in $)= 25+0.30(75)
=25+22.5
= $47.5
Hence, the cost of renting the car for one day and driving at 75 miles = $ 47.5
help me if correct i will mark branliest
Answer:
c = 17
Step-by-step explanation:
a^2 + b^2 = c^2
= 8*8 + 15*15
= 64 + 225
= 289
= 289 SQUARED
= 17
Answer:
i THINK it is 15. im so so so super sorry if im wrong-have a nice day!
Step-by-step explanation:
A pencil pouch has 12 pencils and 30 led pencils, What is the ratio of
pencils to led pencils?
Answer: 12:30
Step-by-step explanation: Trust me. I got 100.
Answer:
6::15
Step-by-step explanation:
A 4 sided polygon has diagonals that are perpendicular. The adjacent sides are congruent. What is the best name for the polygon?
1. Parallelogram
2. Rhombus
3. Isosceles Trapezoid
4. Kite
Answer:
A Kite
Step-by-step explanation:
I know, almost 2 years late. It's a kite and I don't know why.
2x-2-(2x-1)=x+4-1-(-3x)
Answer:
-1=x
Step-by-step explanation:
2x-2-(2x-1)=x+4-1-(-3x)
2x-2-2x+1=x+4-1+3x
-1=4x+3
-4=4x
-1=x
The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit.
A.) Find the circumference of the tire.
B.) About how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280 ft)
I give braniliest to whoever answers write first
Answer:
Circumference = pi * d = 3.14 * 2.5 = 7.85 ft.
1 mile = 5,280 ft.
5,280ft * 1rev/7.85ft =
What is the equation in slope-intercept form of the line that crosses the y-axis at 6 and is perpendicular to the line represented by y= (-4/9)x+5?
Answer:
y=(9/4)x+6
Step-by-step explanation:
If it crosses at 6 then it will be +6. A perpendicular line has a slope that is the opposite reciprocal of your current slope.
What is the 149th term in the arithmetic sequence below?
3 11 19 27
A) a(149) = 1187
B) a(149) = 1199
C) a) 149) = 1184
D) a(149) = 1189
I got 141 obviously that's completely incorrect plz help
Answer:
1,187
Step-by-step explanation:
The nth term of an arithmetic sequence is expressed as;
an = a + (n-1)d
a is the first term
n is the number of terms
d is the common difference
Given the sequence 3, 11, 19, 27...
a = 3
d = 11-3 = 19-11 = 8
n = 149 (since we need the 149th term)
a149 = 3 + (149-1)(8)
a149 = 3+(148)(8)
a149 = 3+1,184
a149 = 1,187
Hence the 149th term is 1,187
Mrs. Zimmerman’s students build the first letter of their names out of wood. Holly builds an H using rectangles with the dimensions shown.
How many square inches of wood does Holly use to create the letter H?
Answer Choices: A, 44 in.² B, 60 in.² C, 80 in.² D, 120 in.²
Answer:
Answer: 80in^2
Step-by-step explanation:
i got it right, so its right...
Which inequality is true when the value of g is 20?
Answer:
Where are the inequality
Step-by-step explanation:
Jayce bought 5 bath towels and returned 2 hand towels. His sister Jayna bought 3 bath
towels and returned 4 hand towels. Jayce paid a total of $124 and Jayna paid a total of
5b - 2h = 124
$24. The system of equations
models this situation, where b is the
3b - 4h = 24
price of a bath towel and h is the price of a hand towel. How much does each kind of
towel cost?
Answer:
Bath towels = $32
Hand towels = $18
Step-by-step explanation:
Given:
5b - 2h = 124 (1)
3b - 4h = 24 (2)
Multiply (1) by 2 to eliminate h
10b - 4h = 228 (3)
3b - 4h = 24 (2)
Subtract (2) from (3)
10b - 3b = 248 - 24
7b = 224
b = 224 / 7
b = 32
Substitute b = 32 into (2)
3b - 4h = 24
3(32) - 4h = 24
96 - 4h = 24
-4h = 24 - 96
-4h = -72
h = -72 / -4
= 18
h = 18
Bath towels = $32
Hand towels = $18
Find the missing side length
Answer:
C) 9
Step-by-step explanation:
because it is half of 18 like 15 is half of 30.
PLEASE HELP WITH QUESTIONS 6, 7, 8, AND 9 ONLY. ASAPPPP
go to yt and watch one I bieleve it should be able to help you
Hey besties I need someone to answer this
Answer:
Its the first one y=x3 - 3
Step-by-step explanation:
Answer:
y = x – 3
Step-by-step explanation:
y = x³ – 3 [cubic function]
y = x² – 3 [square function / quadratic]
y = x – 3 [linear function]
y = √x – 3 [square root function]
The space inside a circle is the ___ of the circle. circumference
diameter
area
radius
Answer: area
Step-by-step explanation:
HELP ME PLEASEEEE!!!!!!!
Answer: Pattern B
Step-by-step explanation: A quadratic relationship involves x squared. Pattern B has the relationship x squared + 1 between the step number and the number of dots
Which number is greater?
9/13 or 0.692
Answer:
None
Step-by-step explanation:
9/13 = 0.6923076923076923 = 0.692
So they are both equally the same since they have the same value. On is not greater than the other
Hope this helped!
Have a supercalifragilisticexpialidocious day!
find the total surface area of a cone having a diameter of base 8 cm and a slant height of 12 use pi 3.14 please make it quick
Answer:
2
Step-by-step explanation:
hello ht eanswer is 2
hi
5
Sarah want to buy shrimp at $10.99 a pound. How many pound can she
buy for $25? *Round to the nearest tenth, one decimal place
Answer:
2.3 (or 2.293)
Step-by-step explanation:
25/10.99
Spiral Review Elena draws a scale drawing for a garden in her backyard. The scale drawing is 3 inches by 6 inches. The garden will be 12 feet by 24 feet.
What is the scale of the drawing in inches to feet?