Answer:
161
Step-by-step explanation:
Given the functions
f (x) = 2x^2 – 1
g(x) = 3x
we are to find f(g(3))
First look for the composite function f(g(x))
f(g(x)) = f(3x)
f(3x) = 2(3x)² - 1
f(3x) = 2*9x² - 1
f(3x) = 18x² - 1
f(g(x)) = 18x² - 1
Substitute x = 3 into the result
f(g(3)) = 18(3)² - 1
f(g(3)) = 18*9- 1
f(g(3)) = 162-1
f(g(3)) = 161
Hence f(g(3)) is 161
Complete the equation of the line whose y-intercept is (0,5) and slope is -9.
y=
Answer: y=-9x+5
Step-by-step explanation:
slope intercept form is y=mx+b
simply plug in the values.
m= the slope
the slope you gave was -9, so plug that in to m.
b= the y intercept aka when the number touches the y axis. in this case, it would be 5.
y=-9x+5
What is the equation of the line that has a
slope of 5 and a y-intercept of -1?
Step-by-step explanation:
y= mx+b
where m is the slope , and b is the y intercept
y= 5x -1
Im dying bro help The vertices of a quadrilateral are (2, 3), (3, 8), (7, 5), and (6, 2). Draw the quadrilateral in the coordinate plane.
In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : [tex] \triangle[/tex]APC = [tex] \triangle[/tex]AQB, then PC = BQ)
~Thanks in advance ! ツ
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}[/tex] Given
[tex]\displaystyle 2) \text{ } m \angle PAB = 60[/tex] Definition of equilateral.
[tex]3)\text{ } m \angle QAC = 60[/tex] Definition of equilateral.
[tex]4)\text{ } m\angle PAB = m\angle QAC[/tex] Substitution
[tex]5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC[/tex] Angle Addition
[tex]\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC[/tex] Angle Addition
[tex]7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC[/tex] Substitution
[tex]\displaystyle 8)\text{ } m\angle PAC=m\angle QAB[/tex] Substitution
[tex]9)\text{ } PA=BA[/tex] Definition of equilateral
[tex]10)\text{ } AC=AQ[/tex] Definition of equilateral
[tex]\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ[/tex] Side-Angle-Side Congruence*
[tex]\displaystyle 12)\text{ } PC=BQ[/tex] CPCTC
* SAS Congruence:
PA = BA
∠PAC = ∠QAB
AC = AQ
The blue dot is at what value on the number line?
3
Answer:
-3
Step-by-step explanation:
25% of a population have pets. What is the probability that the next person you speak to has pets?
Answer: I d k
Step-by-step explanation:
Answer:
25
explanation:
just because
Can you guys figure out the linear function for this table, please?
Answer:
y = 6x + 10
Step-by-step explanation:
This is because the slope is 6 and the y intercept is 10, therefore the answer is y = 6x + 10
Brad has $75 in his savings account and adds $25 every month he doesn't make any withdrawals from the account which inequality shows the number of months it would take Brad to save at least $200
The inequality representing the problem will be x+3 ≥ 8
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, Brad has $75 in his savings account and adds $25 every month he doesn't make any withdrawals from the account, and saves at least $200.
Let the number of months be x,
75 + 25x ≥ 200
25(3+x) ≥ 200
x+3 ≥ 8
Hence, The inequality is x+3 ≥ 8
For more references on inequality, click;
https://brainly.com/question/28823603
#SPJ2
which scenario could be represented by the agebraic expression n- 13?
Answer:
Lucy bought a large box of M&M cookies. She bought 13 less chocolate-chip cookies.
Step-by-step explanation:
The scenario has to represent 13 less than n. The "Lucy" scenario represents this with n (M&M cookies) - 13 (less chocolate-chip cookies).
Hope it helps!
Rich also has £400 pounds invest 3% compound interest . How many years does he need to invest the money to get at least £475
Answer: 6 years
Step-by-step explanation:
Formula to calculate compound amount: [tex]A=P(1+r)^t[/tex], where P= Principal , r=rate of interest, t= time
Given: P = £400, r = 3% = 0.03 , A= 475
Required equation: [tex]400(1+0.03)^t\geq475[/tex]
[tex]400(1.03)^t\geq475\\\\\Rightarrow\ (1.03)^t\geq\dfrac{475}{400}\\\\\Rightarrow\ (1.03)^t\geq1.1875[/tex]
Taking log on both sides , we get
[tex]t \log 1.03\geq\log1.1875\\\\\Rightarrow\ t(0.0128372)\geq(0.0746336)\\\\\Rightarrow\ t\geq\dfrac{0.0746336}{0.0128372}=5.81385\approx6[/tex]
Hence, he needs to invest the money for 6 years to get atleast £475.
Please show work and help me please
Answer:
31.4 in
Step-by-step explanation:
the formula for circumference is 2*[tex]\pi[/tex]*radius. Since the diameter (which is the radius multiplied by 2) is labeled we can divide 10 by 2 to get the radius. 10/2 is 5. Since pi is an infinite number, we round it to 3.14. Then, plug in the numbers. The expression will be 2*3.14*5. 2* = 10 and 10 * 3.14 you can just move the decimal so the answer is 31.4.
pls help me with this asap you dont have to give a big explanation i mostly need the answer
Answer:
because 3 spheres is inside the cylinder and they are placed close together
=> The height of the cylinder is 3 times the diameter
=> the height is 18cm
the volume of the cylinder is 3,14.18.(6/2)² = 508,68
because 3 spheres have the same diameter
=> the volume of 3 spheres is 4.3,14.3³ = 339,12
=> the volume of the cylinder that is left empty is 508,68 - 339,12 = 169,56
Step-by-step explanation:
Answer:
The answer is 508,68
Step-by-step explanation:
Since the volume of the cylinder is equal to the area of the permanent base multiplied in the height
Since the radius of the base is equal to 3 and since the area of its cylinder is equal to
[tex]314 \times 3 \times 3 = 28.26[/tex]
When the height equal to 18
Then the volume equal to
[tex]28.26 \times 18 = 508.68[/tex]
The book rack sold 24 paperbacks on Saturday, 17 of them mysteries. What percent of the books were mysteries?
Answer:
About 71% of the books were mystery books
Step-by-step explanation:
To find the percentage of something you simply divide the amounts. 17 of the 24 books were mystery so to find the percentage of mystery books you do 17 divided by 24
17/24= 0.70833333333
and round it to 71
Can you solve for a, b and c?
20 – 3b = -5
4a + 3b = 17
50 - 2a = 1
Answer:
c = 1 , a = 2, b = 3
Step-by-step explanation:
-2(4x-1)-7=5
whats the next step in solving this equation
Answer:
Using distributive property is the next step in solving the equation
Step-by-step explanation:
-2(4x-1)-7=5
-8x+2-7=5
Answer:
The next step would be to do distributive property.
Step-by-step explanation:
-2(4x-1)-7=5
-8x + 2 - 7 = 5
-8x - 5 = 5
+5 +5
-8x = 10
/-8 /-8
x= -5/4
or
x = -1 1/4
Hope this helps and I hope u have an Amazing day!!
Help I’m stuck on this
Did you just say you were stuck step-sis?
Answer:
it is 6,000 diffrence
Step-by-step explanation:
Alfred has 21 boxes of pencils. He is dividing them equally among four students. How many boxes of pencils will each student receive? Write your answer as a decimal.
Answer:
5.25
Step-by-step explanation:
21/4 = 5.25
pls give me brainliest :)
here is the question then the answers
Answer:
Domain is all real numbers.
Step-by-step explanation:
Domain is the x-values, as you see the function goes on forever on the x-axis because of the arrows.
Factor: m*(m+n)-3m*(m+n)^2
Answer:
−m(m+n)(3m+3n−1)
Step-by-step explanation:
What is 4 wholes-2/5
Answer:
18/5
Step-by-step explanation:
4−
2
5
=
4
1
−
2
5
=
4
1
+
−2
5
=
20
5
+
−2
5
=
20+−2
5
=
18
5
(Decimal: 3.6)
Answer:
18/5
Step-by-step explanation:
4 wholes equal 20/5
20/5-3/5= 18/5
Find The volume of the rectangular prism
Answer:
Where? You can give the length height and width I'll answer ;D
Determine whether the triangles are congruent by AA., SSS, SAS, or not similar.
Step-by-step explanation:
they are similar by AA .
plz mark my answer as brainlist plzzzz . hope this will be helpful to you.
a) Simplify
a x b x 8
(1)
b) Simplify
y xyxy
(1)
c) Simplify fully
ex ex exexf
ex ex exfxf
(2)
Total marks: 4
Answer:
a. 8ab
b. y^3
c. e/f
Step-by-step explanation:
a; a * b * 8 = 8ab
b. y * y * y = y^3
c. we cancel out the e and f
e^4/e^3 * f/f^2
= e/f
Elise had a credit card balance of -$120. She
made a payment of $70 this month. Write and
then evaluate a SUBTRACTION expression to
find her new credit card balance.
Answer:
15.50+n=325.00
Step-by-step explanation:
15.50+what she had in the bank already = what she has now
Step-by-step explanation:
Elise's new credit card balance is $-50.
Elise's credit card balance is negative. This means that she has withdrawn more money than she has deposited. Elsie thus owes the bank $-120. If she paid $70, the amount she owes would be reduced by $70.
Elise's new credit card balance = credit card balance + payment made
$-120 + $70 = $-50
A similar question was answered here: https://brainly.com/question/5636975
necesitooo su ayudaaa
Answer:
in1 ans is 5
in2ans is 9 ok
Solve 7x − 2y = −3
14x + y = 14
♥ Hey Valerie Here! ♥ please help
Answer:
C?
I hope this helps, if not C than A- i get them mixed at times- Sorry
Step-by-step explanation:
♥ Hey Grey Here! ♥
Which expression is equivalent to 8(7m - 9p)?
Answer:
8(7m-9p) = 8(7m) - 8(9p)
= 56m - 72p
Let me know if this helps!
Answer:
56m-72p
Step-by-step explanation:
8(7m-9p) = 8*7p + 8*-9p = 56m-72p
NEED ANSWERS WILL MAKE BRAINLIEST!
Answer:
1
-4
none
none
6
3
min
2
-5
-2
max
-1
0
-5
none
none
Step-by-step explanation:
f(4) is just asking what the y value is when x=4 which is 1
f(-3) = -4
This has no minimum or maximum because the range is all real numbers (the y value goes to infintiy and negative infinity)
f(3)=6
f(0)= 3
This has a minimum because the lowest y value possible is not infinity (it's 2)
f(1)= -5
f(4)= -2
max= -1
f(-1)= 0
f(6)= -5
none
none
3+2=___
4+2=___
8-8=___
Answer:
1)5
2)6
3)0
Step-by-step explanation:i subtracted