Answer:
[tex](f.g)x = {x}^{2} + 24x + 140[/tex]Step-by-step explanation:
[tex]given \\ f(x) = x ^{2} + 10x + 21 \: and \: g(x) = x + 7[/tex]
[tex]as \: we \: know \: (f.g)x \: is \: same \: as[/tex]
[tex]f(g(x))[/tex]
[tex]so \: [/tex]
[tex]f(x + 7) = ( x + 7) ^{2} + 10(x + 7) + 21[/tex]
[tex]f(x + 7) = {x}^{2} + 14x + 49 + 10x + 70 + 21[/tex]
[tex]f(x + 7) = x^{2} + 24x + 140[/tex]
[tex]therefore [/tex]
[tex](f.g)x = {x}^{2} + 24x + 140[/tex]
You bought 8 bags of dog food and 2 boxes of dog treats for a total of $135. Your friend bought 6 bags of dog food and 4 boxes of dog treats for a total of $110. Each bag of dog food costs the same amount. Each box of dog treats costs the same amount. Write a system of equations, then find the cost of one bag of dog food.
Answer:
8f + 2t = $135 - - (1)
6f + 4t = $110 - - (2)
$16
Step-by-step explanation:
Given that:
f = dog food
t = dog treat
8f + 2t = $135 - - (1)
6f + 4t = $110 - - (2)
From (1)
4f + t = 67.5
t = 67.5 - 4f
Put t = 67.5 - 4f in (2)
6f + 4(67.5 - 4f)= 110
6f + 270 - 16f = 110
-10f = 110 - 270
-10f = - 160
f = 16
One bag of dog food = $16
A football team won 75% of 60 games in a season. How many games did they win?
Answer:45 games
Step-by-step explanation: 1+1 is 2 so yeah
Answer:
I think its 45 games
Step-by-step explanation:
75% times 60 = 45
*My school in middle school was rushed about math when we learned percent. Like the teachers were talking so fast, sorry if I'm wrong. <--- reason if I'm wrong.
30 points!
Either Table C or Table D shows a proportional relationship.
Plot all the points from the table that shows a proportional relationship.
Table C
x 3 4 5 6
y 1 2 3 4
Table D
x 2 4 8 10
y 1 2 4 5
Answer:
Its D
Step-by-step explanation:
Espero que tengas un gran día amigo
Albert makes 20 kg of sweets in 5 weeks. If he continued to make sweets, how much would he have after 10 weeks?
Answer:
he will have 40 kg
Step-by-step explanation:
10:5=2
20 x 2 = 40
Please help! Due today!!
Answer:
l
Step-by-step explanation:
...sorry by any chance if the answer is wrong
The length of a rectangle is 5 more than the side of a square, and the width of the rectangle is 5 less than the side of the square. If the area of he square is 45, what is the area of the rectangle
Answer:
20
Step-by-step explanation:
Given :
Length = l
Width = w
Area of square = 45
Let side of square = x
Area of square = x²
45 = x²
√45 = x
l of rectangle = x + 5 = √45 + 5
w of rectangle = x -5 = √45 -5
Area of rectangle= l * w
Area = (√45 + 5) * (√45 - 5)
Area = 45 - 5√45 + 5√45 -25
Area = 45 -25
Area of rectangle = 20
Joes family is planning a kayaking trip. Kayak Place charges a base fee of $15 plus $4.50 per hour. Kayak Store charges a base fee of $12.50 plus $5 per hour. Write an expression for each Kayak rental. Select all that apply.
Answer:
15+4.50x, 12.50+5x
Step-by-step explanation:
Complete the table to investigate dialations of exponential functions.
Answer:
a = 1, b = 3, c = 1, d = 2, e = 6, and f = 8
Step-by-step explanation:
The given exponential functions are;
2ˣ, 3·2ˣ, and [tex]2^{3 \cdot x}[/tex]
Let f(x) = 2ˣ, h(x) = 3·2ˣ, and g(x) = [tex]2^{3 \cdot x}[/tex]
From the table for investigating the dilations of exponential function, we have;
a = f(0) = 2⁰ = 1
b = h(0) = 3·2⁰ = 3 × 1 = 3
c = g(0) = [tex]2^{3 \times 0}[/tex] = 2⁰ = 1
d = f(1) = 2¹ = 2
e = h(1) = 3·2¹ = 3 × 2 = 6
f = g(1) = [tex]2^{3 \times 1}[/tex] = 2³ = 8.
Write the equation of the line that passes through the point (-9,10) and is parallel to the y axis
Answer:
y = 10Step-by-step explanation:
The equation of any line parallel to the y axis is y = y₀
where y₀ is the y-coordinate of any point from the line
(and the y-intercept of the line)
easy brainliest 2+2/-2
On the swim team, for every 10 girls there are 7 boys. If there are 21 boys on the swim team, how many girls are there?
Answer:
30 girls
Step-by-step explanation:
Every 10 girls there are 7 boys.
So if there are 3 groups of 7 boys, there will be 30 girls.
Check:
10 girls: 7 boys
+10 girls: 7 boys
+10 girls: 7 boys
= 30 girls: 21 boys
I need help with this please. :)
Answer:
64x³+4
-------------
2x-1
Step-by-step explanation:
I hope this helps. :)
3.2 less than a number m
Answer:
m-3.2
Step-by-step explanation:
PLEASE HELP 30 POINTS
Solve the equation.
60% of 45 =
25% of 80 =
16% of 40 =
Answer:
60% of 45 = 0.6 × 45 = 27
25% of 80 = 0.25 × 80 = 20
16% of 40 = 0.16 × 40 = 6.4
function or not a function?
Answer:
Not a function
Step-by-step explanation:
You draw lines going down the graph and if any of those lines have more than one point then it is not a function.
1) Supposed that you have an account with the overdraft
protection. Your account balance is $40.00, you spend
$85.00 at a grocery stores. The bank charge you $30.00
every time you overdraft the account. What is your
account balance after the overdraft and the bank fee?
A) -$60.00
B) -$75.00
C) -$80.00
D) -$70.00
Answer: B) -$75.00
========================================================
Explanation:
Draw a vertical number line. Plot 40 on this line. Then move down 85 units to arrive at 40-85 = -45. The negative indicates that you're in debt.
Then move down another 30 due to the overdraft fee and we have -45-30 = -75 as the bank balance.
-------------------
Put another way:
Start at $40. If you spend $40, then your balance is $0. You need to spend another $45 to get all of the groceries (since the grocery bill is 40+45 = 85 dollars). That's where the -45 comes from, to indicate you're 45 dollars in debt. This is before the overdraft fee kicks in. Adding on that fee gets a total debt of 45+30 = 75 dollars. So that's why the final balance is -75 dollars.
Please I need an answer FAST
Answer: C) 10cm
Step-by-step explanation:
What is 30-20-65+10+4=
Answer:
-41
Step-by-step explanation:
1. Which ratio is equivalent to 3:9?
24.54
18:54
36.81
Both 9/3 and 54/18 come out to 3, so your answer is:
18:54
Answer:
18:54
Step-by-step explanation:
We have to simplify these ratios.
If the most simplified form of the ratios are equal, they are equivalent
3:9
24:54
18:54
Same ratio as 3:9, so 18:54 is equivalent to 3:9
36:81
10.5 x 2 and 2/3
can someone explain how to do this too?
10.5 X 2 = 21
2/3 = 0.666666667
During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Find the quotient. Explain what the quotient would mean in each of the two interpretations you described. Consider the division expression 712÷2 7 1 2 ÷ 2 . Select all multiplication equations that correspond to this division expression. 2⋅?=712 2 ⋅ ? = 7 1 2 712⋅?=2 7 1 2 ⋅ ? = 2 2⋅712=? 2 ⋅ 7 1 2 = ? ?⋅712=2 ? ⋅ 7 1 2 = 2 ?⋅2=712
The second question:
Consider the division expression [tex]7\frac{1}{2} / 2[/tex]. Select all multiplication equations that correspond to this division expression.
[tex]2 * ? = 7\frac{1}{2}[/tex] [tex]7\frac{1}{2} * ?= 2[/tex] [tex]? * 2 = 7\frac{1}{2}[/tex]
[tex]2* 7\frac{1}{2} = ?[/tex] [tex]? * 7\frac{1}{2} = 2[/tex]
Answer:
1. See Explanation
2. [tex]2 * ? = 7\frac{1}{2}[/tex] and [tex]? * 2 = 7\frac{1}{2}[/tex]
Step-by-step explanation:
Solving (a):
Given
[tex]Students = 60[/tex]
[tex]Group = Equal\ Sized[/tex]
Required
Interpret [tex]\frac{60}{5}[/tex] in 2 ways
Interpretation 1: Number of groups if there are 5 students in each
Interpretation 2: Number of students in each group if there are 5 groups
Solving the quotient
[tex]Quotient = \frac{60}{5}[/tex]
[tex]Quotient = 12[/tex]
For Interpretation 1:
The quotient means: 12 groups
For Interpretation 2:
The quotient means: 12 students
Solving (b):
Given
[tex]7\frac{1}{2} / 2[/tex]
Required
Select all equivalent multiplication equations
Let ? be the quotient of t [tex]7\frac{1}{2} / 2[/tex]
So, we have:
[tex]7\frac{1}{2}/2 = ?[/tex]
Multiply through by 2
[tex]2 * 7\frac{1}{2}/2 = ? * 2[/tex]
[tex]7\frac{1}{2} = ? * 2[/tex]
Rewrite as:
[tex]? * 2 = 7\frac{1}{2}[/tex] --- This is 1 equivalent expression
Apply commutative law of addition:
[tex]2 * ? = 7\frac{1}{2}[/tex] --- This is another equivalent expression
A boat is traveling at a constant speed. In 10 hours, the boat travels 160 miles. How many hours will it take the boat to travel 24 miles?
Answer:
1 hour and 30 minuets
Step-by-step explanation:
HELP PLEASE!!!!! ASAP
Answer:
I think it would be A
Step-by-step explanation:
Math help find the rise.
Answer:
-16
Step-by-step explanation:
The equation for a slope is rise/run. You know from the question that the slope is -4/5 in its simplest form. However, the run in its original form is 20.
So if the run is 5 in its simplest form, but 20 in its original form, then this means the slope must have been simplified by dividing both the original rise and the original run by 4, because 20/4 = 5.
That also means we can find out the original rise by doing the inverse of what we did above. We can multiply the rise in its simplest form by 4 to get the original. That gives us -16 (because -4*4 = -16).
Can someone please answer these there due today in math
1.)3c + 8= 29
2.)12/c - 6=78
3.) -20 = -4x - 6x
4.) -4 (3 + 4K) = 52
5.) -45 = -3(4x - 1)
Answer right and I will give u brainly and if u dont know dont answer
Answer:
Step-by-step explanation:
j+28.6=43
-28.6 -28.6
_________________
j=14.4
Hope this helps :>
What does two plus two equal?
Answer:
two plus two equals 4
2 +2 = 4
Answer:
4
Step-by-step explanation:
when you do 2+2 you get 4
Can you please help
Answer:
The answer to the question provided is
[tex] \frac{9}{5} [/tex]
Step-by-step explanation:
T
What is the value of KL
Answer:
40.5
Step-by-step explanation:
Since the centroid (the point of concurrency of the sides of a triangle) divides the 3 medians into the ratios from the point to the centroid to the centroid to the side into the ratio of 2:1. To find PK divide 27 by 2
27/2=13.5
Then add 27 and 13.5 to get KL
27+13.5=40.5
i) 5(3x + 2)
ii)3(5x+2)
iii) 15(x+1)
iv) 15(x+5)
v) X(15x+1)
Answer:
i) 15x+10
ii) 15x+6
iii) 15x+15
iv) 15x+75
v)15x^2+x
Step-by-step explanation:
you have to substitute the number outside the brackets to all the variables inside by multiplying.
(^) means power.