Mathematics High School
Answers
Answer 1
Answer:
(f О g)(25) is -135
Step-by-step explanation:
The composite function (f О g)(x) means substitute x in f by g
∵ f(x) = -2x² - 7
∵ g(x) = √3 + 3
→ To find (f О g)(25), find g(25) first, then substitute x in f by the value of g(25)
∵ x = 25
∴ g(25) = √25 + 3
∵ √25 = 5
∴ g(25) = 5 + 3
∴ g(25) = 8
→ Now substitute x in f by 8
∵ x = 8
∴ f(8) = -2(8)² - 7
∴ f(8) = -2(64) - 7
∴ f(8) = -128 - 7
∴ f(8) = -135
∴ (f О g)(25) = -135
Related Questions
ldentify the slope of the line y = 4.
Answers
The slope is easy. It’s 0 and the y-intercept is (0,4).
A unicycle wheel has a diameter of 16 inches. How many inches will the unicycle travel in 7 revolutions?
Use π = 3.14 and round your answer to the nearest hundredth of an inch.
Answers
Answer:
The unicycle will travel 351.68 inches in 7 revolutions
Step-by-step explanation:
The circular shape moves a distance equal to its circumference in each revolution, then the rule of the distance of the circular shape travels n turns is D = π d n, where
d is the diameter of the circular shapen the number of revolution
∵ A unicycle wheel has a diameter of 16 inches
∴ d = 16 inches
∵ The unicycle will travel 7 revolutions
∴ n = 7
→ Substitute them in the rule of the distance above
∵ D = π(16)(7)
∵ π = 3.14
∴ D = 3.14(16)(7)
∴ D = 351.68 inches
→ No need to round it, it is in the hundredth of an inch
∴ The unicycle will travel 351.68 inches in 7 revolutions
On Monday, Mrs. Smith drove 3.56 miles to go to the grocery store, 5.9 miles to go to the bank, and 12.087 miles to go out to dinner. Round each
number to the nearest mile to estimate the number of miles Mrs. Smith drove on Monday
Answers
Answer:
22
Step-by-step explanation:
3.56 = 4
5.9 = 6
12.087 = 12
4+6+12 = 22
In the diagram below, determine the value of x:
Answers
9514 1404 393
Answer:
55°
Step-by-step explanation:
130° is an external angle to the small triangle at lower left, so is the sum of the remote interior angles. The unmarked interior angle at the bottom of that triangle is then 130° -30 = 100°.
That is an exterior angle of the large triangle that has remote interior angles of 45° and x°. So, ...
x° + 45° = 100°
x° = 100° -45°
x° = 55°
_____
Alternate solution
The sum of the interior angles of a quadrilateral is 360°. Three of the angles in the bounding quadrilateral are x°, 45°, 30°. The fourth is the reflex angle that is (360° -130°) = 230°. So, we have ...
x° +45° +230° +30° = 360° . . . . . angles CCW from lower right
x° = 360° -305°
x° = 55°
Calculate the square root of 1/2
Answers
Answer:
I looked it up and it said 0.5
Write the ratio as a fraction in simplest form 24 nickels to 48 nickels
Answers
Answer:
2/3
Step-by-step explanation:
just divide the numbers by 6 the first time and get 4/6 and then divide one more time and get 2/3
On 12/1/2020 a total of 14,108,603 people in the US have tested positive for the Coronavirus-19 (CV-19). If the daily rate of increase stays at 1.2% (as has been for the past 30 days), how many people would be expected to have tested positive by 12/31/2020 (n=30 days later)? Compounding is continuous.
a. 20,222,275
b. 516, 349. 960
c. 14, 625,765
d. 28,985,182
Please ANSWER ASAP!!!
Answers
Answer:
C
Step-by-step explanation:
Tessa bought stock in a restaurant for $297.00. Her stock is now worth $356.40. What is the percentage increase of the value of Tessa's stock?
Answers
Answer:
20% increase
Step-by-step explanation:
We want to compute the percentage increase
Percent increase in price is expressed as
=(Change in price)/old price *100
=356.4-297/297*100
=59.4/297*100
=0.2*100
=20%
The distance between Dallas and San Antonio is on a map is 13.7 inches. If 2 inches = 40 miles, what is the distance, in miles, from Dallas to San Antonio?
Answers
Answer:
Distance= 308 miles
Step-by-step explanation:
Giving the following information:
The distance between Dallas and San Antonio is on a map is 13.7 inches.
2 inches = 40 miles
To calculate the distance between Dallas and San Antonio, we will use the following formula:
Distance= (12/2)*40 + 1.7*40
Distance= 308 miles
12/2= first 12 inches
This area model shows the quotient of 1/5÷4.
Answers
Answer: 4/5
Step-by-step explanation: 1/5 times 5/1=4/5
Solve the expression
(-3) (-2) (3) (4)
and choose the appropriate result.
A) 36
B) –72
C 72
D) -36
Answers
Answer: 72
Step by Step Explanation:
When numbers are placed like this they want you to multiply, so from left to right do -3 x -2=6 6 x 3=18 18 x 4=72; so the answer is 72
Answer: 72 well C to be exact
2(x + 14) = 40
Can you please do all the steps of solving this?
Ex:
8(7+1)3=192
8 x (7+1) x 3
8
8x8=64
64x3=192
total=192
Answers
Answer:
6
..........
Step-by-step explanation:
2(x+14)=40
2x+28=40
2x=40-28
2x=12
x=6
Answer:
Step by step in screenshot below. Hope this helps.
Step-by-step explanation:
Which equation represents this problem? The time it takes Tomás to bike to the community center is 2 minutes less than half the time it takes him to bike to the city park. It takes Tomás 18 minutes to bike to the community center. Let p = the time it takes Tomás to bike to the park.
A. 2p+12=18
B.12p+2=18
C.2p–12=18
D.12p–2=18
Answers
Answer:
The equation that represents this problem is [tex]\frac{1}{2}[/tex] p - 2 = 18 ⇒ D
Step-by-step explanation:
Let us solve the question
∵ p is the time it takes Tomás to bike to the park
∵ The time it takes Tomás to bike to the community center is 2 minutes
less than half the time it takes him to bike to the city park
→ That means multiply p by [tex]\frac{1}{2}[/tex] , then subtract 2 from it
∴ The time to the community center = [tex]\frac{1}{2}[/tex] (p) - 2
∴ The time to the community center = [tex]\frac{1}{2}[/tex] p - 2
∵ It takes Tomás 18 minutes to bike to the community center
→ Equate The time to the community center by 18
∴ [tex]\frac{1}{2}[/tex] p - 2 = 18
∴ The equation that represents this problem is [tex]\frac{1}{2}[/tex] p - 2 = 18
What is 6% sales tax on a $12
pair of mittens?
(show your work)
Answers
Answer:
$0.72
Step-by-step explanation:
In order to solve this question we need to know that 1% is one hundredth of something. Another important thing you need to understand is that when we are trying to find n% of y we multiply just need to multiply "y" by [tex](\frac{n}{100} )[/tex]. In our case we have to find 6% of 12, in other word they are asking as the following "What is $12 times [tex](\frac{6}{100} )[/tex]?". So in order to find the answer we do the following..............
[tex]12 (\frac{6}{100} ) = \frac{(12)(6)}{100} = \frac{72}{100} = 0.72[/tex]
Ez points
I speak without a mouth and hear without ears. I have no body but come alive with wind. What am I?
Answers
Answer:
echo
Step-by-step explanation:
can i get some helpers?
Answers
Answer:
congruent, the triangles have 2 congruent sides and a congruent angle, therefore the triangles are congruent by the SAS Theorem
Step-by-step explanation:
5x-28 = 2x+8
3x=36
x=12
x+4 = 2x-8
(12)+4 = 2(12)-8
16 = 16, AB is congruent to DE
x-2 = 3x-26
(12)-2 = (36)-26
10 = 10, AC is congruent to DF
An airplane cover 94 miles in 1/6 of an hour
Answers
Answer:
14.16
Step-by-step explanation:
Do 1/6 of 94 and you get this answer
Find the volume of figure B
Answers
Answer:
volume of Figure B = 75 m³
Plz help me plzzzz!!!!
Answers
Answer:
Definition of equilateral triangle
Step-by-step explanation:
All sides of equilateral triangles are equal.
Write the number "five hundredths, six thousandths, forty-two millionths" as a decimal.
Answers
Answer:
0.0560042
Step-by-step explanation:
Need Help ASAP
Slope = -7;(4,-30)
Answers
It’s 182 my work is in the picture
Answer:
y=-7x-2
Step-by-step explanation:
I assume you need the equation for the line, so that's what I'm solving for here.
1. Start by putting the slope and the coordinates into point slope form, which is y-y1=m(x-x1)
y+30=-7(x-4)
2. Distribute -7 to (x-4) (or multiply x and -4 by -7).
y+30=-7x+28
3. Subtract 30 from both sides to get y by itself.
y=-7x-2
Which two fractions are equal to 2?
A.
11
2
B.
2
4
oc. ? §
D.
2
2
E.
2
Answers
Question:
Which two fractions are equal to 2?
A .1/2 B.2/4 C.2/1 D.2/2 E.4/2
Answer:
C.2/1 and E.4/2
Step-by-step explanation:
Required
Determine equivalent of 2
To do this, we simply evaluate each option
A .1/2
[tex]\frac{1}{2} = 0.5[/tex]
B.2/4
[tex]\frac{2}{4} = 0.5[/tex]
C.2/1
[tex]\frac{2}{1} = 2[/tex]
D.2/2
[tex]\frac{2}{2} = 1[/tex]
E.4/2
[tex]\frac{4}{2} = 2[/tex]
From the calculations above:
Options (c) and (e) are equivalent to 2
Find f (-9) with the given function rule of f(x)= x-3
Answers
Step-by-step explanation:
We have f(-9) = (-9) - 3 = -12.
Answer:
-12
Step-by-step explanation:
f(9)=-9-3= -12
....
Given l || m || n, find the value of x
Answers
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]As\ we\ are\ given\ that\ l\ \parallel m\ \parallel n,\\We\ can\ tell\ that\ l \parallel n\\As\ we\ know\ that\ if\ two\ lines\ are\ parallel, then\ the\ pair\ of\ corresponding\ angles\\formed\ are\ equal.\\Hence,\\As\ (8x-17)\ and\ (4x+11)\ are\ corresponding,\ they\ are\ equal.\\Hence,\\8x-17=4x+11\\8x-4x=11+17\\4x=28\\x=28/4\\[/tex]
[tex]x=7[/tex]
help please i will give brainliest!!
Answers
Answer:
answer D looks good :)
Step-by-step explanation:
PLZ HELP ITS URGENTTTT FIRST TO ANSWER WILL BE BRAINLIEST
3x³y²/9xypower 5
Answers
The answer is x^2/3y^3 hopefully this is correct
Uhhhh I never learned this
Help pleasseeee
If f(x)=3x^2-7x find f(-2)
Answers
Answer:
f(-2) = 26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right
Algebra I
Function Notation
Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 7x
f(-2) is x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 3(-2)² - 7(-2)Exponents: f(-2) = 3(4) - 7(-2)Multiply: f(-2) = 12 + 14Add: f(-2) = 26
i could really use an explanation of this problem please and thank you
Answers
Answer:
the answer for this is (2,2)
What rule should you use? help
Answers
Answer:
Sine
Step-by-step explanation:
Using the Law of Sines, you can solve triangles when given two angles and a side.
Please can I have an explanation, I am terrible at these kinds of questions! Q- A bag contains red, yellow and blue beads. The ratio of red beads to yellow beads is 2:3 The ratio of yellow beads to blue beads is 5:4 Work out what fraction of the beads are red.
Answers
Answer:
[tex]Red = \frac{10}{37}[/tex]
Step-by-step explanation:
Given
[tex]Red:Yellow = 2 : 3[/tex]
[tex]Yellow: Blue = 5 : 4[/tex]
Required
Determine the fraction of Red
First, we need to link the given ratios.
Since yellow is present in both ratios, we start by making the ratio of yellow equal in both ratios
Multiply this ratio by 5
[tex]Red:Yellow = 2 : 3[/tex]
This becomes
[tex]Red:Yellow = 10 :15[/tex]
Similarly, multiply this ratio by 3
[tex]Yellow: Blue = 5 : 4[/tex]
This becomes
[tex]Yellow:Blue =15:12[/tex]
At this point, we have:
[tex]Red:Yellow = 10 :15[/tex] and [tex]Yellow:Blue =15:12[/tex]
Combine
[tex]Red:Yellow:Blue = 10:15:12[/tex]
The fraction is then calculated as:
[tex]Red = \frac{Red}{Red +Yellow + Blue}[/tex]
This gives
[tex]Red = \frac{10}{10+15+12}[/tex]
[tex]Red = \frac{10}{37}[/tex]
