Answers
Step-by-step explanation:
See the solution for each part
1)
f(-2) = - 3(-2) - 6 = 6 - 6 = 02)
g(3) = 3² + 4 = 9 + 4 = 133)
f(g(x)) = -3(x² + 4) - 6 = - 3x² - 12 - 6 = - 3x² - 184)
f(g(3)) = f(13) = - 3(13) - 6 = - 39 - 6 = - 455)
x = - 3f⁻¹(x) - 63f⁻¹(x) = - x - 63f⁻¹(x) = -(x + 6)f⁻¹(x) = - (x + 6)/3Now
f(-2)=-3(-2)-6=6-6=0g(3)=3²+4=9+4=13f(g(x))=-3(x²+4)-6=-3x²-12-6=-3x²-18f(g(3))=-3(3)^2-18=-27-18=-45Related Questions
2x+4=8
Find x and show work.
Answers
Answer:
X is 2 2+2= 4 plus 4 = 8
Step-by-step explanation:
Hoped this helped
Answer:
x = 2
explanation:
2x + 4 = 8
subtract 4 from both sides
2x + 4 -4 = 8 -4
2x = 4
divide both sides by 2
2x/2 = 4/2
x = 2
Recheck:
2x + 4 = 8
2(2) + 4 = 8
8 = 8
Hence proved the solution is correct.
Pearl and Jason are working on homework together when Pearl says, "got x = 6 and x=13 as the solutions, but it looks like you got something different. Which solutions are right?
"I found a mistake," says Jason. Where did Pearl make a mistake? Explain why it is incorrect. Pearl's work is shown below.
Answers
The mistake made by pearl from solving the quadratic equation is that he didn't equate the equation to zero(0) before solving
How to solve quadratic equation?x² - 3x - 10 = 8
x² - 3x - 10 - 8 = 0
x² - 3x - 18 = 0
x² - 6x + 3x - 18 = 0
x (x - 6) + 3(x - 6) = 0
(x + 3) (x - 6) = 0
x + 3 = 0. x - 6 = 0
x = -3. x = 6
Learn more about quadratic equation:
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what is the value of x
Answers
Hey there!
Assuming #1 ….
x + 7x + x = 180°
REWORD
1x + 7x + 1x = 180°
COMBINE the LIKE TERMS
(1x + 7x + 1x) = 180°
8x + 1x = 180°
9x = 180°
DIVIDE 9 to BOTH SIDES
9x/9 = 180/9
CANCEL out: 9/9 because it equal 1
KEEP: 180/9 because it give you the x-value
NEW EQUATION: x = 180/9
SIMPLIFY IT!
x = 20
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Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The sum of all the angles made at a point on a line where n lines meet, then the sum of (n+1) angles is 180°, as here, 2 lines meet at the center of the semicircle and so, 3 angles are here.So, by using this property we will be having the equation ;
[tex]{:\implies \quad \sf x^{\circ}+7x^{\circ}+x^{\circ}=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf 9x^{\circ}=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{180^{\circ}}{9}=\bf \boxed{20^{\circ}}}[/tex]
This is the required answer
Amir is a collector. He currently has 397 rare stamps. Amir wants to double his collection. How many stamps will be in Amir's collection?
stamps
Answers
Answer:
794 stamps in his collection
Step-by-step explanation:
If Amir started out with 397 stamps and doubles his collection, he would have 794.
Take the original amount and multiply it by 2
397(2) =794 stamps
Answer:794
Step-by-step explanation:
397x2=794
Need help for points
Answers
1 /3 radius^2 x height 3
Pi/3 *r^2 x 9 3 = 3 pi ^2
r=1, volume = 3 pi
r=2, volume = 12 pi
r=3, volume = 27pi
Graph the equation y=-X – 2 using the intercepts.
Answers
Answer:
y intercept = (0,-2)
x intercept = (-2,0)
Step-by-step explanation:
For y intercept, plug 0 for x
y = (0) - 2
y = -2
y intercept = -2
For x intercept, plug 0 for y
(0) = -x - 2
Move -2 to other side
-x = 2
Since x is negitave, make 2 negitave
x = -2
x intercept = -2
9
There were 2,500 sales at a grocery store
in one day. Of these sales, 50% happened
before noon, 15% happened between
noon and 4 PM, and the rest happened
after 4 PM.
How many sales happened after 4 PM?
A 875
B 375
C 450
D 625
Answers
Answer:
The answer is 875.
Step-by-step explanation:
Based on the given conditions, formulate: 2500x(1-15%-50%)
Calculate the sum or difference: 2500x(0.85-0.5)
Calculate the sum or difference: 2500xx0.35
Calculate the product or quotient: 875
get the result: 875
Answer: 875
8. Michelle has 0.5 pound of red peppers
and 0.50 pound of green peppers.
Which number sentence correctly
compares the amounts of red and
green peppers that Michelle has?
A 0.5 = 0.50
B 0.5 > 0.50
C 0.50 > 0.5
D 0.50 <0.5
Answers
Answer:
A 0.5 = 0.50
Step-by-step explanation:
The amount of green and red papers are actually equal because green paper is 0.50 and red is 0.5
These two are equal.
In a decimal it doesn't matter if you but 0 after the number, it matters when you but it before the number, because then the value will decrease
Noah says, "If I try to write ten to the zero power expanded, it should have zero factors that are 10, so it must be equal to 0." Do you agree? Why or why not?
Answers
Answer:
No, I do not agree. This is because 10⁰ is equivalent to 1.
Step-by-step explanation:
any number to the power of 0 is equal to 1
Help me on this question please!
Answers
[tex]\huge\fcolorbox{blue}{red}{Answer}[/tex]
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[tex]\frac{ x }{ 3 } +6-2x=-6[/tex]
[tex]x+18-6x=-18 [/tex]
[tex]-5x+18=-18 [/tex]
[tex]-5x=-18-18 [/tex]
[tex]-5x=-36 [/tex]
[tex]x=\frac{-36}{-5} [/tex]
[tex]x=\frac{36}{5} [/tex]
[tex]= 7 \frac{1}{5}[/tex]
[tex]= 7.2[/tex]
So the answer is [tex]x = 7.2[/tex] or [tex]= 7.2[/tex]
══════════════════════
Step-by-step explanation:
#Carry on learning
can someone help me with this
Answers
If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of the runners be next to one another?
Answers
Answer:
Step-by-step explanation:
This is kinda confusing give me a second
What is the expected probability of spinning a 1 on the following spinner?
a spinner with 5 equal sections labeled 1 through 5.
enter your answer as a fraction, like this: 42/53
Answers
Answer:
1/5
Step-by-step explanation:
4. You wake up in the morning and go to the cupboard to look for breakfast. You have a choice of
Pop-Tarts, muffins, granola bars, or cereal. To drink, you have a choice of whole mild, 2% milk,
skim milk, orange juice, apple juice and water. You mother insists that you take a multi-vitamin
with your breakfast. You can choose from Flintstones vitamins, One-a-Day vitamins, Chock's
Vitamins. How many different breakfasts made up of an entrée, drink, and vitamin could you
make?
Answers
Answer:
72 breakfasts
Step-by-step explanation:
number of entrees: 4
number of drinks: 6
number of vitamins: 3
four times six times three =
72
please help :(
I'll give brainliest!
Answers
Answer:
58km
Step-by-step explanation:
perimeter of rectangle= 2x(l+b)
2x(28+1)
2x29=58
For the below expressions, write an equivalent expression that
uses only addition.
1a.) 20 - 9 + 8-7
1b.) 4x -7y -52 + 6
1c.) -3% -8y - 4 - 8/72
Answers
Answer:
So this is pretty much endless but here are a few examples:
3+3+3+3
4x+(-7y) + (-46)
-3% + (-8y) + (-4) + (-0.1111)
Step-by-step explanation:
Hope this helps have a great rest of your day
1. Find the Area of the Sector:
2. Find the length of the missing side:
Answers
1. Area of sector is 14.14 sq.m
2. Length of the missing side is 10 cm
Step-by-step explanation:1.)Using formula:
Area of sector = θ/360° × π r²Where,
θ = 45° Radius (r) = 6mSubstituting the required values:
→ Area = 45°/360° × 22/7 × (6)²
→ Area = 0.125 × 22 × 36/7
→ Area = 2.75 × 36/7
→ Area = 99/7
→ Area = 14.14 sq.m
2.)In given right angled traingle:
Perpendicular = 6 cmBase = 8 cmHypotenuse = ?Using Pythagoras theorem,
(H)² = (B)² + (P)²where,
H is hypotenuseB is Base P is perpendicularSubstituting the required values:
→ (Hypotenuse)² = (8)² + (6)²
→ (Hypotenuse)² = 64 + 36
→ (Hypotenuse)² = 100
→ Hypotenuse = √100
→ Hypotenuse = 10 cm
Hence,
Hypotenuse of Traingle is 10 cmCai tried to prove that \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J. Statement Reason 1 FG=HI=6FG=HI=6F, G, equals, H, I, equals, 6 Given 2 FH=HJ=4FH=HJ=4F, H, equals, H, J, equals, 4 Given 3 \overline{FG} \parallel \overline{HI} FG ∥ HI start overline, F, G, end overline, \parallel, start overline, H, I, end overline Given 4 \angle HFG\cong\angle JHI∠HFG≅∠JHIangle, H, F, G, \cong, angle, J, H, I When a transversal crosses parallel lines, alternate interior angles are congruent. 5 \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J Side-angle-side congruence What is the first error Cai made in his proof? Choose 1 answer: Choose 1 answer: (Choice A) A Cai used an invalid reason to justify the congruence of a pair of sides or angles. (Choice B) B Cai only established some of the necessary conditions for a congruence criterion. (Choice C) C Cai established all necessary conditions, but then used an inappropriate congruence criterion. (Choice D) D Cai used a criterion that does not guarantee congruence
Answers
<HFG ≅ <JHI because they are corresponding angles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
What are Corresponding Angles?When two parallel lines are crossed by a transversal, the angles that are formed in matching corners along the transversal are regarded as corresponding angles which are congruent to each other.
In the proof, HFG and JHI are corresponding angles that are forrmed. Therefore, they are equal based on the fact that corresponding angles are congruent.
Thus, Cai's first error in the proof was made in his 4th statement. <HFG ≅ <JHI because they are corresponding anglles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
Learn more about corresponding angles on:
https://brainly.com/question/2009183
Answer:Answer is A
Step-by-step explanation:
just did it on khan academy
Combine like terms to create an equivalent expression87 m+ 109 −2m− 53
Answers
What is the value of x? The figure is not drawn to scale. Show work
Answers
ILL MARK BRAINILEST !! 80 POINTS
Question 1: 11 pts
Find the vertex of the parabola y = x2 - 10x + 16.
A. (-5,91)
B. (-9,5)
C. (5,-9)
D. (8,0) and (2,0)
Answers
[tex]\\ \rm\rightarrowtail y=x^2-10x+16[/tex]
[tex]\\ \rm\rightarrowtail y=x^2-10x+16+9-9[/tex]
[tex]\\ \rm\rightarrowtail y=x^2-10x+25-9[/tex]
[tex]\\ \rm\rightarrowtail y=(x-5)^2-9[/tex]
Vertex form
y=a(x-h)^2+kSo
vertex:-
(h,k)=(5,-9)James has 16 balloons. 1/4 of his balloons are red. How many red balloons does he have? Half of his red ballons pop after 10 minutes of playing with them. How many of his red ballons pop?
Answers
half of them pop
4/2=2
2 red balloons pop.
What should be completed first when simplifying 2(x − 3) + 6(4x + 1)?
Combine like terms.
Subtract x − 3.
Distribute the 2 to the x − 3 and the 6 to the 4x + 1.
None of these choices are correct.
Answers
Answer:
Distribute the 2 to the z-3 and the 6 to the 4x+1
Step-by-step explanation:
I'm not sure why it says none of the choices are correct. According to the distributive property, which is followed in any similar algebraic equation. You distribute values first and then combine like terms and go on from there. Hope this helps.
Help
question on the image.
Answers
Answer:
no
Step-by-step explanation:
We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:
hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)
= 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35
= 17 22/35 . . . . cm
We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.
17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm
The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so the hole is smaller than the pot.
The pot will not fit into the plant pot holder.
_____
You can use your calculator to find the free space around the pot by computing ...
20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm
Negative space means the pot is larger than the hole.
Write the expression as a product.
25-(a + 7)^2
Answers
[tex]25 - ({a + 7})^{2} = [/tex]
[tex](5 + (a + 7))(5 - (a + 7)) = [/tex]
[tex](a + 12)( - a - 2)[/tex]
Have a great day ♡
(5-(a+7))x(5+(a+7))
(5-a-7)x(5+a+7)
(a+12) (-2-a)
If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?
Answers
Answer:
1,400
Step-by-step explanation:
700 divided by 6 equals 116.66 and 116.66 times 12 is 1,399.92. But you have to round the decimal to make it accurate which you'll get 1,400.
Hope this helps.
Answer this question for points
Answers
Answer:
102 or the 12th number considering 38 is the 4th
How many solutions does each polynomial have?
Answers
Answer:
Every polynomial equation P(x) = 0 of any degree ≥ 1 with complex number coefficients has at least one complex number solution.
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!
Answers
Answer:
[tex]\frac{4}{5}[/tex] (4/5)
just fill out 4 in the blank
Step-by-step explanation:
1. Equal the denominator for 1/4
End result=[tex]\frac{11}{20}[/tex]
So all the other ones have to be made according to this
20/4=5
1x5=5
[tex]\frac{1}{4}[/tex] will now be [tex]\frac{5}{20}[/tex]
2. Figure out what ?/5 will be
If this number is getting subtracted by [tex]\frac{5}{20}[/tex] then, we have to add [tex]\frac{11}{20}[/tex] by [tex]\frac{5}{20}[/tex] to get our answer.
[tex]\frac{11}{20} +\frac{5}{20} =\frac{16}{20}[/tex]
this means that when [tex]\frac{16}{20}[/tex] gets subtracted by [tex]\frac{5}{20}[/tex] it will equal [tex]\frac{11}{20}[/tex]
3. Simplify 16/20 to it's lowest terms
5x4=20
20/5=4
so, each part ([tex]\frac{1}{5}[/tex]) worth's 4
20-4=16
So that means, that the simplest for for this is [tex]\frac{4}{5}[/tex]
So hence, your answer is 4/5just fill out 4 in the blank
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"If you see someone with a smile, give them one of yours!"
quote by FieryAnswererGT
Thanks!
:D
Answer:
4
Step-by-step explanation:
Let the blank = x
Thus,
[tex]\frac{x}{5}-\frac{1}{4}=\frac{11}{20}[/tex]
[tex]\mathrm{Add\:}\frac{1}{4}\mathrm{\:to\:both\:sides}[/tex]
[tex]\frac{x}{5}-\frac{1}{4}+\frac{1}{4}=\frac{11}{20}+\frac{1}{4}[/tex]
[tex]\mathrm{simplify}[/tex]
[tex]\frac{x}{5}=\frac{4}{5}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}5[/tex]
[tex]\frac{5x}{5}=\frac{4\cdot \:5}{5}[/tex]
[tex]\mathrm{simplify}[/tex]
x = 4
Hence, the blank = 4
Equation = [tex]\frac{4}{5}-\frac{1}{5}=\frac{11}{20}[/tex]
[RevyBreeze]
What is the center of the data in the dot plot? Number of Science Homework Assignments Each Week A dot plot going from 0 to 5. 0 has 3 dots, 1 has 2 dots, 2 has 5 dots, 3 has 4 dots, 4 has 1 dot, and 5 has 6 dots. 2 2. 5 3 2005.
Answers
The center of the data in the dot plot comes to be 3.
0 has 3 dots
1 has 2 dots
2 has 5 dots
3 has 4 dots
4 has 1 dot
5 has 6 dots.
Let us arrange these data in ascending order
0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,5,5,5,5,5,5
Number of observations = 21
What is the median?The Median is the middle number when observations are arranged in either ascending or descending order. Median is more informative than average.
So, the median will be the middle data = 11th data
11th data = 3 so median =3
Hence, the center of the data in the dot plot comes to be 3.
To get more about the median visit:
https://brainly.com/question/14532771