Answer:
x is greater than or equal to 39
The second one is 11
Step-by-step explanation:
f(x)=x^2+2x-6 and g(x)=x+5
Type the composition (gof)(x) of the given functions
F ( x + 5 )= x ^2 + 12 x + 29
The composition (gof)(x) of the given functions is (g°f)(x) = x² + 12 x + 29
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
For two given functions f(x) and g(x), the composite function
(g ° f)(x) is g(f(x))
we know that:
g(x) = x+5
f(x) = x² + 2x - 6
Then:
(g°f)(x) = g(f(x))
So, we just need to evaluate g(x) in f(x):
g(f(x)) = f(x) + 5 = (x² + 2x - 6) + 5
(g°f)(x) = x² + 12 x + 29
Then the correct answer is (g°f)(x) = x² + 12 x + 29
Learn more about function here:
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Can someone assist me with this?
[tex] \frac{8}{3x - y} = \frac{5}{x + 3y \:} [/tex]
Find the ratio of x to y.
Answer:
29: 7
Step-by-step explanation:
[tex] \frac{8}{3x - y} = \frac{5}{x + 3y} [/tex]
Cross multiply:
[tex]8(x + 3y) = 5(3x - y)[/tex]
Expand bracket:
[tex]8x + 24y = 15x - 5y[/tex]
Bring x terms to 1 side, y terms to the other:
[tex]15x - 8x = 24y + 5y[/tex]
Simplify:
[tex]7x = 29y[/tex]
Divide by 7 on both sides:
[tex]x = \frac{29}{7} y[/tex]
Divide both sides by y:
[tex] \frac{x}{y} = \frac{29}{7} [/tex]
∴ The ratio of x to y is 29:7.
Ashley fills the container with sugar using a bowl. The bowl hold 1/3 cups of sugar. Ashley uses 6 bowls to fill the container. How many cups of sugar does the container hold?
Answer:
1 bowl = 1/3 cups
6 bowls = (1/3) * 6
= 2 cups
So, the container hold 2 cups of sugar
Step-by-step explanation:
I did not pay attention to the class- so can someone explain how to do dis type of problem- and the answers-
17.If -4 is zero of the polynomial p(x) = x2
-x-(2k+2) then k =
a) 2 b) 9 c) 3 d) -1
Pls.Answer fast guys thanks!
Answer:
d) -1
hope it help
help pleaseeeeeeeeeeeeee !
Which of these numbers is equivalent to 22/3
?
A. 0.136
B. 0.136 Repeating
C. 7.3
D. 7.3 repeating
Answer:7.3333333333
Step-by-step explanation:
On Friday, Calvin ate a dinner of one serving of turkey, one cup of brown rice, a cup of milk, a large carrot, and a large banana. How many grams of protein did he eat during dinner? How many milligrams of sodium did he eat during dinner?
Answer:
20.5g in protein
427.55mg in sodium
Step-by-step explanation:
Add the amount or proteins he ate first for all the food he ate, and then the sodium for the food and there is your answer.
Mrs. Matthews is 24 years old and her daughter Nina is 6 years old. How old will Nina be when she is half as old as her mother?
Answer:
Nina will be 18 years old when she is half as old as her mother.
Step-by-step explanation:
With the information provided, you can write an equation that indicates that Mrs. Matthews current age plus x which would be the number of years until Nina will be half as old as her mother would be equal to two times nina's age plus x, as you would have to multiply Nina's age at that time for 2 to be equal to her mother's age. The equation would be:
24+x=2(6+x)
Now, you can solve for x:
24+x=12+2x
24-12=2x-x
12=x
Finally, you have to add the value of x plus Nina's current age to determine her age when she is half as old as her mother:
12+6=18
Acording to this, the answer is that Nina will be 18 years old when she is half as old as her mother.
a circle has a diameter of 6.7 feet . which is the closest ??
Answer:
21.038 ft
Step-by-step explanation:
6.7x3.14=21.038
hope this helps
plz can i get brainliest:)
Answer:
if your looking for radius it would be 3.35 if your looking for surface area its 3.14(3.35)^2
Step-by-step explanation:
The perimeter of the pentagon below is 10.5 units. Four sides of this pentagon have the same length, h, and the other side has a length of 1.7 units, as shown below.
What is the value of h?
A 2.2
B 3.7
C 4.8
D 8.8
Answer:
A 2.2
Step-by-step explanation:
So the perimeter is 10.5 and one side is 1.7 and the others are the same.
The Equation for the perimeter of a pentagon is P = side + side + side + side + side.
Fill it out for the sides.
10.5 = 1.7 + 4h
8.8 = 4h
h = 2.2
Que es una equacion de primer grado?
Answer:
Step-by-step explanation:
ax+b = 0
Help I’m struggling so much in math
. The expression 5n + 2 can be used to find the total cost in
dollars of bowling where n is the number of games bowled and
2 represents the cost of shoe rental. How much will it cost
Vincent to bowl 3 games?
Answer:
$17
Step-by-step explanation:
If n is the number of bowls, then replace n with 3
5(3) + 2 = x
15 + 2 = x
x = 17
Daniel works at a nearby electronics store. He makes a commission of 15%, percent on everything he sells. If he sells a laptop for $293, how much money does Daniel make in commission?
Answer:
Commission earned= $43.95
Step-by-step explanation:
Giving the following information:
Commission rate= 15% = 0.15
Sales= $293
To calculate the commission earned by selling the laptop, we need to use the following formula:
Commission earned= commission rate*sales
Commission earned= 0.15*293
Commission earned= $43.95
6(x + 3) - (x + 4) = -11
Answer: x=-5
Step-by-step explanation:
Distribute
6(x+3)-1(x+4)=-11
6x+ 18-1(x+4)=-11
6x +18-x-4=-11
Subtract the numbers
6x +18-x-4=-11
6x +14-x=-11
Combine like terms
6x +14-x=-11
5x +14=-11
subtract 14 from both sides of the equation
5x +14=-11
5x +=14-14 = -11 -14
simplify
5x=-25
divide both sides
x=-5
Can 1.2345 be written as a fraction ?
Answer:
2469/2000
Step-by-step explanation:
Answer:
Yes. 2469/2000
Step-by-step explanation:
what are the new coordinates called after translating an image? PLSSSS HELP
Answer:
Add image pls ill go check ur prf once you add it with the pic just tell me when you do it if you can.
can someone help me figure out this please ASAP!!!!!
Answer:
Formula: SA= 2B+Ph
This might not be an exact answer but it makes it easier
Use the net to find the surface area of the regular pyramid.
Answer:
40 in²
Step-by-step explanation:
There are four triangles for each side of the pyramid, and the height is three inches. The area of a triangle is base times height divided by 2, so each triangle is 6 in².
4(base) x 3(height) ÷ 2 = 6
Multiply 6 by 4 because there are four triangles, which is 24.
Once you have that, the only surface left is the bottom of the pyramid. You can find this by multiplying 4 by 4, since it's a square.
4 x 4 = 16
If you add 16 and 24 together, that's your answer.
Answer:
40
(its right i did this)
Janelle bought a beach chair on sale at 60% off. The original price was $44.95. What was the amount of the beach chair?
Answer:
the answer is $17.98
Step-by-step explanation:
....
Guys pls help me!!!!!
Answer:
1 ten and 5 ones
Step-by-step explanation:
A.50
B.100
C.40
D.180
E.45
F.130
G.155
H.90
I.135
Answer:
F. 130
hope this helped :)
Answer:
F. 130
Step-by-step explanation:
Since you have a 180-degree angle, you can subtract it by 50. replace <2 by x
so, 50 + x = 180
180 - 50 = 130
The answer is 130 degree angle.
hope this helps and is right :)
The Wheelers’ bill at a restaurant is $63.00. How much total money is Mr. Wheelers' lunch if he plans to tip 15%?
asap besties
we know that
when you want to figure out a tip, you take your total bill and multiply it by the percentage you would like to tip them
so
15%=15/100------> 0.15
$63*0.15=$9.45
the answer is
$9.45
BKS at a piece of paper along as diagonal, as shown below, towing two tendes
How do the height and base length of the two triangles compare to the height and base length of the original piece of
paper?
The two dimensions are the same in the triangles as they were in the rectangle,
The two heights are the same in the triangles as they were in the rectangle, but the bases of the triangles are half
the length of the base of the rectangle.
The two dimensions of the triangles are each half what they were in the rectangle.
its the second option because it is clearly shown and described on the screen
I had this on my test and i’m confused, can anyone help me?
10x + 364m = ?
Answer: It is complicated. I think you can graph it. The internet said that is was undoable.
Step-by-step explanation:
Evaluate each using the values given q+q-r(p-q ), use p= -9. q = -4, and r= 9
Answer:
37
Step-by-step explanation:
q + q - r (p - q)
-4 + (-4) - 9[-9 - (-4)]
-8 - 9 (-5)
-8 + 45
37
What can you say about the end behavior of the function f(x) = -4x^6 +6x^2-52?
The true statement about the end behavior of f(x) is (b)
How to determine the end behavior?The equation of the function is given as;
f(x) = -4x^6 +6x^2-52
The leading coefficient of the above function is
Leading coefficient = -4
-4 is less than 0 i.e. negative
This means that options (a) and (c) are false
Also;
The ends of even functions face the same direction, and not opposite directions.
Hence, the true statement about the end behavior of f(x) is (b)
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what is the difference between an irrational number and a rational number
Answer:
Rational numbers are the numbers which are integers and fractions
Irrational numbers are the numbers whose expression as a fraction is not possible.
Step-by-step explanation:
Answer:
Rational is with fractions
Irrational is with expressions
Step-by-step explanation:
Solve for X in the triangle
Answer:
x = 6√2
Step-by-step explanation:
This is a right triangle, specifically a 45-45-90 one. Using the Pythagorean Theorem, we get x^2 + x^2 = (12 cm)^2, or:
2x^2 = 144 cm^2, or
x^2 = 72 cm^2.
This comes out to x = 6√2