Find (8°f)(3)
f(x) = (x + 2
g(x) = -x^2
Answer:
A) -25
Step-by-step explanation:
[tex]f(x)=|x+2|\\[/tex]
[tex]g(x)=-x^{2}[/tex]
[tex](gof)(x)=g(f(x))=g(|x+21|)\\[/tex]
[tex](gof)(x)=-(|x+21)^{2}[/tex]
[tex](gof)(3)=-(13+21)^{2}[/tex]
[tex](gof)(3)=-(151)^{2}[/tex]
[tex]=-(5)[/tex]
[tex](gof)(3)=-25\\--------[/tex]
hope it helps...
have a great day!!
3. Which equation is written in slope-intercept form?
2x + 3y =5
x = 4y - 7
y-3 = 2(x - 1)
y= 3x +2
Simplify the expression (x^4)^5(x^6)
Answer:
x^26
Step-by-step explanation:
Answer:
(x⁴)⁵ × (x)⁶ = x²⁶
Step-by-step explanation:
(x⁴)⁵ × (x)⁶
(x)⁴°⁵ × (x)⁶
(x)²⁰ × (x)⁶
x²⁰ × x⁶
x²⁰⁺⁶ = x²⁶
Thus, (x⁴)⁵ × (x)⁶ = x²⁶
-TheUnknownScientist
Can someone please answer all parts of this question with STEP BY STEP EXPLANATION? I'm struggling with this.
Answer for question A:
You invest $1700  in account earning 8% annual interest compounded continuously write an exponential function for the amount in the account after T years
An exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: P_T = 1700(1.08)^T
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
How does compound interest works?Instead of calculating the interest on the initial amount, the compound interest repeats calculating interest on (old amount + interest to be paid).
For this case, we're specified that:
Initial amount deposited = $1700Rate of interest = 8% annual = 0.08 (converted percent to fraction).Let P be the inital amount, and r be the rate of interest compounding per unit of time (in decimal)
Let [tex]P_t[/tex] be the amount after t unit of time(same unit as the interest).
Then after 1 year, the new amount would be:
[tex]P_{t+1} = P_t + 100r \%\text{ of }P_t}\\P_{t+1}= P_t + P_t \times r\\P_{t+1} = P_t(1+r)[/tex]
Thus, we get:
[tex]P_t = P_{t-1}(1+r) = P_{t-2}(1+r)(1+r) = P_{t-2}(1+r)^2\\\\P_t = P_{t-t} (1+r)^t = P_0(1+r)^t[/tex]
where P₀ is the initial amount (as amount at t = 0 is initial amount)
Thus, we get:
[tex]P_t = P(1+r)^t[/tex]
Here, putting P = 1700, r = 0.08, and t = T, we get:
[tex]P_T = 1700(1.08)^T[/tex]
Thus, an exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: [tex]P_T = 1700(1.08)^T[/tex]
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Which is the graph of the equation y - 1 =[tex]\frac{2}{3}(x-3)[/tex]
Answer:
Step-by-step explanation:
Please help!! Find the value of x and y
the value of "x" is 5 and the value of "y" is 12
A function is shown in the table.
Xg(x)
-3 17
-1 -3
0 -4
2 13
Which of the following is a true statement for this function? (5 points)
Answer:
the answer here its a -3 17
help Plz
If the slice of pizza below has an area of 18.86 cm?, what is the measure of the central angle to the nearest
degree?
8 cm
Answer:
Step-by-step explanation:
Help Plz
If the slice of pizza below has an area of 18.86 cm?, what is the measure of the central angle to the nearest
degree?
8 cm
Explain what independent and dependent variables mean
Answer:
please give me brainlist and follow
Step-by-step explanation:
You can think of independent and dependent variables in terms of cause and effect: an independent variable is the variable you think is the cause, while a dependent variable is the effect. In an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.
Kala is a software saleswoman. Her base salary is $1800, and she makes an additional $110 for every copy of Math is Fun she sells.
Let P represent her total pay (in dollars), and let N represent the number of copies of Math is Fun she sells. Write an equation relating P to N. Then use this
equation to find her total pay if she sells 29 copies of Math is Fun.
Equation:
8
Х
Total pay if Kala sells 29 copies: s[
Answer:
1800 + 110n = P
4990 * 8 = 39,920
Step-by-step explanation:
So first, the best way to solve linear word problems is to define your variables (which was given to you)
Second, construct your equation. From the information, we know that $1,800 is her starting amount. So that will be the y-intercept. Then, we see that she gets additional $110 for every copy she sells.
PLEASE HELP!!!!!!!!!!
A cardboard box has edges of length 2.3 in, 6.5 in, and 9.7 in. What is the volume of the box?
Answer:
volume = 145.02 in³
Step-by-step explanation:
volume = 2.3 x 6.5 x 9.7 = 145.02 in³
HELP WILL GIVE BRAINLESS Which choice is equivalent to the fraction below? (Hint: Rationalize the
denominator and simplify.)
2
√x + √x+ 2
2
A. VX + 1x + 2
B. FxVx+ 2
C. x + 2 - 3
Answer:
C. [tex] \sqrt{x + 2} - \sqrt{x}[/tex]
Step-by-step explanation:
[tex] \frac{2}{ \sqrt{x} + \sqrt{x + 2} } \\ \\ = \frac{2}{ (\sqrt{x} + \sqrt{x + 2}) } \times \frac{(\sqrt{x} - \sqrt{x + 2})}{(\sqrt{x} - \sqrt{x + 2})} \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ ({ \sqrt{x} )}^{2} - {( \sqrt{x + 2} )}^{2} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - {( x + 2)} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - x - 2 } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ - 2 } \\ \\ = - ( \sqrt{x} - \sqrt{x + 2}) \\ \\ \frac{2}{ \sqrt{x} + \sqrt{x + 2} } = \purple{ \bold{\sqrt{x + 2} - \sqrt{x} }}[/tex]
Over a two week period you worked 7 1/2 hrs a day for 8 days. You earn $11.50 an hour. How much money did you earn in your paycheck after $3 was taken out for taxes?
Answer: [tex]\$687[/tex]
Step-by-step explanation:
Given
Working hours are [tex]7\ \frac{1}{2}[/tex] for 8 days
Money earned is $11.50 an hour
Total working hours
[tex]=\dfrac{7\times 2+1}{2}\times 8=\dfrac{15}{2}\times 8\\\\=60\ hr[/tex]
Money earned
[tex]=60\times 11.50=\$690[/tex]
After-tax deduction
[tex]\Rightarrow 690-3=\$687[/tex]
Answer:
Step-by-step explanation:
I need some help with these 4 questions
Answer:
ok, but where are the four questions?
Answer:
Hey mate.....
Step-by-step explanation:
Which questions are you even talking about???????
Lol
HI HELLO HELP ILL GIVE BRAINLIST OR WHATEVER
Answer:
6
Step-by-step explanation:
The base 2 logarithm of 64 is 6 or log264 = 6.
i dont understand The readers can best infer that both authors would agree which statement 1) Insect may inspire feelings if wonder and awe 2) Protecting all creatures in nature is important 3) Insect are best kept inside jars for observation 4) Observing insect is not interesting hobby
Answer:
what do you mean be more clear
Step-by-step explanation:
please help
will award brainliest for correct answer!
-thanks <3
Answer:
Step-by-step explanation:
I think it’s the last one
For Greta's birthday party, her parents ordered 6 pizzas. If they cut the pizzas into sixths, how many pieces will there be? Choose the model that matches this problem.
Options aren't avaible
Answer:
(1 ÷ 1/6) * 6
36 pieces of pizza
Step-by-step explanation:
Given that :
Number of pizzas ordered = 6
Divisions per pizza = 1/6 ;
Hence, 1 full pizza is divided into 1 ÷ 1/6 = 1 * 6/1 = 6 pieces
6 * 1/6(1)
The total pieces of pizzas equals :
6 pieces per pizza * number of pizzas
6 * 6
= 36 pieces of pizza
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Because you have more education, you get better income.
(-2, 7) and (-2, 14)
Slope
Answer:
slope is undefined
round 8.547 to the nearest whole number
Answer:
9
Step-by-step explanation:
8.547 = 9.000
what is the y and m and c in 2x + y = 1
......................
The coordinates of point are (7, 4). Point is a reflection of point across the x-axis. In which quadrant will point W be located
Answer:
Point W will be located on the bottom right quadrant.
Step-by-step explanation:
The x variable becomes negative when reflected across the x-axis.
Answer:
The reflected point will be on the 4th qudrant.
Step-by-step explanation:
So, lets remember what each qudrant is. The first one is (+, +).
The secodn one is (+, -)
The third one is (-,+)
And the fourth one is (-,-)
So looking at this, we instantly know that the orginal point is on qudrant 1. Since our number is +7, +4.
Now we have to flip around the x axis. Well, to the left of the quadrant 1 is qudrant 2. To the bottom of qudrant 1 is qudrant 4. We clearly cannot go to the top or right since there arent any more quadrants, and the qudrant 3 is not accesable with our x and y values.
Remember. we arent going left, since that would be crossing the y axis. This means we have to go down, to the bottom.
What is below qudrrant 1? As I said above, that would be quadrant 4.
Answer:
Quadrant 4
Hope this helps!
What is the surface area
Answer: b
Step-by-step explanation:
Find x in each triangle.
Answer:
where’s the triangles?
This February only one quarter of the days had an average temperature above freezing (32 degrees). How many days in February were below freezing?
Answer:
21 days
Step-by-step explanation:
February has 28 days
28/4=7
1 quarter of 28 is 7
Since one quarter was above freezing, 3 were below freezing
3x7=21
21 days is the final answer
Answer:
21 days
Step-by-step explanation:
There are 28 days in February.
If one quarter of the days had a temperature above freezing, that means that three quarters of the days had a temperature below freezing.
Find how many days were below freezing by multiplying 28 by 3/4
28(3/4)
= 21
So, 21 days in February were below freezing.
find three numbers that have a mode of 4 and a mean of 6
Answer:
4, 4, 10
Step-by-step explanation:
4, 4, 10
4 appears the most so that's the mode.
Mean = (Sum of numbers)/(3 numbers)
Mean = (4 + 4 + 10)/3
Mean = (18)/3
Mean = 6
The three numbers that have a mode of 4 and a mean of 6 are 4, 4, and 10.
What is mean?
Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. A set of data values mode is the value that appears the most frequently.
The three numbers that have a mode of 4 and a mean of 6 will be calculated below:-
Let us suppose the three numbers are 4, 4, and 10 the mean will be calculated as:-
Mean = (Sum of numbers)/(3 numbers)
Mean = (4 + 4 + 10)/3Mean = (18)/3
Mean = 6
Therefore, the three numbers that have a mode of 4 and a mean of 6 are 4, 4, and 10.
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Greg has two coupons for a bicycle.
Coupon A: $19 rebate on a $81 bicycle
Coupon B: 20% off of a $81 bicycle
Choose the coupon that gives the lower price.
The price of Coupon A will be less than the price of Coupon B. Coupon A gives the lower price.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Greg has two coupons for a bicycle.
Coupon A: $19 rebate on an $81 bicycle. Then the price of a bicycle will be
⇒ $81 - $19
⇒ $62
Coupon B: 20% off of an $81 bicycle. Then the price of a bicycle will be
⇒ $81 x 0.80
⇒ $64.8
The price of Coupon A will be less than the price of Coupon B. Coupon A gives the lower price.
More about the Algebra link is given below.
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