Given that ƒ(x) = x2 + 1 and g(x) = –3, multiply the functions (g · ƒ)(x).
Answer:
(2+1×-3)(x) = 3×(-3)(x) =-9x
Answer:
(g · ƒ)(x) = –3x2 – 3
Step-by-step explanation:I took the test
how much grams are in a milligram
there are 1000 milligrams in 1 gram
Hope this helps
law of sines and law of cosines
Answer:
Step-by-step explanation:
[tex]1.\\ \\ \frac{sin148}{25}=\frac{sinx}{12}\\ \\ x=sin^{-1}\frac{12sin148}{12}\\ \\ x=32^o\\ \\ 2.\\ \\ x^2=42^2+16^2-2(42)16cos120\\ \\ x^2=2692\\ \\ x=\sqrt{2692}\\ \\ 3.\\ \\ 19^2=17^2+14^2-2(17)14cosx\\ \\ x=cos^{-1}\frac{124}{476}\\ \\ x=74.9^o\\ \\ 4.\\ \\ \frac{sin22}{15}=\frac{sin(180-48-22}{x}\\ \\ x=\frac{15sin110}{sin22}\\ \\ x\approx 37.63[/tex]
Answer:
4. [tex]\displaystyle 38 ≈ x[/tex]
3. [tex]\displaystyle 75° ≈ m∠X[/tex]
2. [tex]\displaystyle 52 ≈ x[/tex]
1. [tex]\displaystyle 15° ≈ m∠X[/tex]
Step-by-step explanation:
Before we begin, here are the formulas for both laws:
Solving for Angles
[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X[/tex]
Do not forget to use [tex]\displaystyle cos^{-1}[/tex]in the end or you will throw the result off!
Solving for Edges
[tex]\displaystyle y^2 + x^2 - 2yx\:cos∠Z = z^2 \\ z^2 + x^2 - 2zx\:cos∠Y = y^2\\ z^2 + y^2 - 2zy\:cos∠X = x^2[/tex]
Take the square root of the end result or you will throw it off!
-----------------------------------------------------------------------------------
Solving for Angles
[tex]\displaystyle \frac{sin∠Z}{z} = \frac{sin∠Y}{y} = \frac{sin∠X}{x}[/tex]
Do not forget to use [tex]\displaystyle sin^{-1}[/tex]in the end or you will throw the result off!
Solving for Edges
[tex]\displaystyle \frac{z}{sin∠Z} = \frac{y}{sin∠Y} = \frac{x}{sin∠X}[/tex]
_____________________________________________
4. [tex]\displaystyle \frac{15}{sin\:22} = \frac{x}{sin\:110} \hookrightarrow \frac{15sin\:110}{sin\:22} = x \hookrightarrow 37,627178911... = x \\ \\ 38 ≈ x[/tex]
3. [tex]\displaystyle \frac{-19^2 + 17^2 + 14^2}{2[17][14]} = cos∠X \hookrightarrow \frac{-361 + 289 + 196}{476} = cos∠X \hookrightarrow 0,2605042016... = cos∠X; 74,900018217...° = cos^{-1}\:0,2605042016... \\ \\ 75° ≈ m∠X[/tex]
2. [tex]\displaystyle 16^2 + 42^2 - 2[42][16]\:cos\:120 = x^2 \hookrightarrow 256 + 1764 - 1344\:cos\:120 = x^2 \hookrightarrow \sqrt{2692} = \sqrt{x^2}; 2\sqrt{673}\:[or\:51,884487084...] = x \\ \\ 52 ≈ x[/tex]
You could have also used the Law of Sines sinse the base angles are congruent [30°].
1. [tex]\displaystyle \frac{sin\:148}{25} = \frac{sin∠X}{12} \hookrightarrow \frac{12sin\:148}{25} = sin∠X \hookrightarrow 0,2543612468... = sin∠X; 14,735739332...° = sin^{-1}\:0,2543612468... \\ \\ 15° ≈ m∠X[/tex]
I am joyous to assist you at any time.
I need help ASAP please
Answer:
x = 6
Step-by-step explanation:
The area of a triangle is equal to the base times the height divided by two. In this case, the base is 6 (or x, it doesn't really matter) and the height is x (or 6, it doesn't matter). That means that the area of this triangle is equal to 6 * x divided by 2, which is also equal to 18. we can say that 6x/2 = 18, meaning that 6x = 36, so x = 6.
please help.......................
Answer:
FD = 8
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{FD}{BA}[/tex] = [tex]\frac{FE}{BC}[/tex] , substitute values
[tex]\frac{x+3}{2x+2}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides
4x + 4 = 3x + 9 ( subtract 3x from both sides )
x + 4 = 9 ( subtract 4 from both sides )
x = 5
Thus
FD = x + 3 = 5 + 3 = 8
Which equation is the result of adding theses two equations -2x+4y=17 3x-10y=-3
Answer:
x=-79/4, y=-45/8. (-79/4, -45/8).
Step-by-step explanation:
-2x+4y=17
3x-10y=-3
---------------
3(-2x+4y)=3(17)
2(3x-10y)=2(-3)
----------------------
-6x+12y=51
6x-20y=-6
------------------
-8y=45
y=45/-8=-45/8
3x-10(-45/8)=-3
3x+450/8=-3
3x+225/4=-3
3x=-3-225/4
3x=-12/4-225/4
3x=-237/4
x=(-237/4)/3
x=(-237/4)(1/3)
x=-237/12=-79/4
is the answer 84.2??? if not pls explain THANK U ITS GEOMETRY
SOMEBODY PLEASE HELP ASAP PLEASE PLEASE PLEASE WILL GIVE YOU A GIFTCARD OF YOUR CHOICE
Answer:
what grade are u in
Step-by-step explanation:
Answer: I hope this helps!! It would mean the world to me if i got an Amazon or Xbox giftcard thanks!! :D
Step-by-step explanation:
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay. S=sandwiches
Answer:
8s + 12
s=12-8
s=4
or
8s +12
s=12+8
s=20
Step-by-step explanation:
im not sure kung minus o plus kasi kung kinus mababa lang binayad nya
X^2+10x+22=13 1. Rewrite the equation by completing the square your equation should look like (x+c)^2 = d or (x-c)^2=d 2. What was the solution to the equation?
Answer:
(x+5)² = 16
Solution: -1 and -9
Step-by-step explanation:
Given the quadratic equation X^2+10x+22=13
Subtract 22 from both sides
X^2+10x+22-22=13-22
x^2+10x = -9
Complete the square
Add the square of half of coefficient of x to both sides
coefficient of x = 10
half of coefficient of x = 10/2 = 5
square of half of coefficient of x= 5² = 25
Add 25 to both sides
x²+10x + 25 = -9+25
(x+5)² = 16
Hence the required equation is (x+5)² = 16
(x+5)² = 16
square root both sides
√(x+5)² = √16
x+5 = √16
x +5 = ±4
x = +4 - 5 and -4-5
x = -1 and -9
Hence the solution to the equation is -1 and -9
what is the sum of 8bb-4bb
Answer:
4bb
Step-by-step explanation:
Answer:
4bb
Step-by-step explanation:
Because you need to combine like terms
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
(This is too easy)
Someone help please!
X+3y=-7 5x+6y=-8
Step-by-step explanation:
I have used substitution method here to find the value of x and y.
i’m so confused by this does anyone have this figured out
Answer:
you have to find the angels
Step-by-step explanation:
i need help with this pls 20 points for the right answer
Answer:
hiiii
Step-by-step explanation:
sorry I have not idea like what garde are u I'm
f(x) = -3x + 3
f(-2) = [?]
Help
is this the answer you're looking for? I'm sorry I'm confused
What is the value of x?
Answer:
x=16
Step-by-step explanation:
according to the geometric mean for altitude
8 squared = 4x
64=4x
x=16
if my answer helped please mark as brainliest.
Step-by-step explanation:
X = 16 .
16 is the correct answer of this question .
plz mark my answer as brainlist if you find it useful.
Daniel used to collect baseball cards as a kid. He purchased a particular
card for $30 in 2006 and the value of the card increases by 2.5% per year.
How much is his card worth now (in 2021)? Use units and round
appropriately.
Answer:
[tex]y < 85 \div \div 9614 = 88[/tex]
Ты лоххх
Find -2(3 - 8) + 3 (12 - 8)
What is the answer to this question?
Answer:
22
Step-by-step explanation:
Cement costs $76 per cubic yard. What is the cost of cement for a sidewalk that is 4 in. Thick, 3ft wide,and 40 ft. Long?
Answer:
112.46 yd³
Step-by-step explanation:
1 inch = 0.0278 yds
1 feet = 0.333 yd
Thickness = 4 inches = (4 * 0.0278) = 0.1112 yds
Width = 3 feets = (3 * 0.333) = 0.999 yds
Length = 40 feets = (40 * 0.333) = 13.32 yds
Volume of sidewalk :
Thickness * Width * Length
0.1112 * 0.999 * 13.32 = 1.479702816 yd³
1 yd³ of cement = $76
Cost :
1.479702816 yd³ * $76
= 112.457414016
= 112.46 yd³
Plllzzzzz help quick
Answer:
also click the first choice. It has 10 sides.
Step-by-step explanation:
1440=(N-180)-360
N-180=1080
n=10 sides
Answer: The answers would be A
Step-by-step explanation- The sum of all angles in a decagon will always equal 1440 degrees. That is all. Plz mark brainliest?
There were 60 students enrolled in Grade 5 last year. If 66 students are enrolled in the same grade level this year, what is the percentage increase in the number of Students?
There is a 10% increase
There are 6 more students this year than there were last year.
If you find what 10% of 60 is and add that to 60, you'll find that it'll equal 66.
//
[tex]60 \times 0.10 = 6[/tex]
[tex]10\% \: of \: 60 \: is \: 6[/tex]
[tex]60 + 6 = 66[/tex]
can someone help me on this and plz explain
Which of the following describes the transformation from Figure 1
1
to Figure 2
2
?
5 units to the right and 3 units down
Jack made 9 identical bags using 5 yards of fabric. How much fabric did Jack use for each bag? Solve on paper and check your work on Zearn.
Answer: 5/9 yards
Step-by-step explanation:
From the question, we are informed that Jack made 9 identical bags using 5 yards of fabric.
To calculate the amount of fabric that Jack use for each bag, we have to divide 5 by 9. Thus will be:
= 5 / 9
Therefore, it means that Jack used 5/9 yards for each bag
What's the equation of a line that passes through point (–1, 3) with a slope of 1?
Answer:
y = 1x + 4
OR
y = x + 4
Step-by-step explanation:
The function g is defined by g(x) = 3x+4.
Find g(z+3).
I really need help with these Aleks assignments, can someone help me with them?
Answer:g(x) = (x+3)/(x2-4)
The domain refers to all of the x values that the function can take on. In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined. We can factor the denominator of g(x) as follows:
g(x) = (x+3)/((x+2)(x-2)
The denominator will be zero when x = 2 or -2. Otherwise, g(x) is defined on all other values of x. So the domain of g(x) is "x = all x not equal to -2 or 2". In interval notation, the domain is:
(-∞,-2)U(-2,2)U(2,+∞)
On a number line, draw it as follows:
-∞ <======o=====o=======> +∞
-2 2
Step-by-step explanation:
Having trouble solving this:
Answer:
option b.
61/1000.
................
Answer:
B: 61/1000
Step-by-step explanation:
B: 61/1000 = 0.061
as a percent is 6.1%
Therefore B or 61/1000 is correct hope this helped!
Donna packs 14 pounds of nuts in bags . Each bag has 1/4 pound of nuts Which equation shows the number of bags Donna packed with all the nuts
Answer:
Step-by-step explanation:
Where are the equations to choose from?
14 pounds × (1 bag)/(¼ pound) = 56 bags
Abby got a summer job. The table shows how much money she will earn based on the number of hours she works.
Hours Worked 20 30 40 50
Dollars Earned 150 225 300 375
Based on the table, how much money will she earn if she works 65 hours?
O A $450.00
B. $475.50
C. $487.50
D. $525.00
Answer:
C
Step-by-step explanation:
She earns $487.50
375+75+37.5=487.5
Answer: c
Step-by-step explanation
First find the unit rate
$150 divided by 20 = $7.50
So she's earning $7.50 an hour
$7.50 times 65 hours = $487.50
So the correct answer is C
Plz help I don’t know how to solve this
Answer:
7- 110
11-70
about rest I don't know sorry