Answer: [tex]G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]
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Work Shown:
[tex]G(x) = x^3\\\\G(F(x)) = \left(F(x)\right)^3\\\\G(F(x)) = \left(x-7\right)^3\\\\G(F(x)) = \left(x-7\right)\left(x-7\right)^2\\\\G(F(x)) = \left(x-7\right)\left(x^2-14x+49\right)\\\\G(F(x)) = x\left(x^2-14x+49\right)-7\left(x^2-14x+49\right)\\\\G(F(x)) = x^3-14x^2+49x-7x^2+98x-343\\\\G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]
(sin30° + cos30°) – (sin 60° + cos60°)
Answer:
0
Step-by-step explanation:
Sin 30° = ½
Cos 30° = √3/2
Sin 60° = √3/2
Cos 60° = ½
Therefore,
(½ + √3/2) - (√3/2 + ½)
[tex] \frac{1 + \sqrt[]{3} }{2} - \frac{ \sqrt{3 + 1} }{ 2 } [/tex]
[tex] \frac{1 + \sqrt{3} - \sqrt{3} - 1}{2} [/tex]
[tex] \frac{0 - 0}{2} [/tex]
Answer: 0
For more information on trigonometric refer to this link
wich statement is true about the graphs of the two lines y=-6 and ×=1/6?
No links
So I finished the graph, But I need help making the table please help whoever answers correctly, I will mark brainliest 10. Cornett Cable charges $32.50 a month for basic cable television. Each preminium channel selected costs an additional $4.95 per month. b. Make a table to show the monthly cost for 0,1,2,3, and 4 premium channels. Then graph the ordered pairs this is the last thing then I'll stop Also, no links please
Answer:
Here it is. The table is on the first one at the bottom.
Step-by-step explanation:
Laura is saving to buy a 10-speed bike that costs $189. For four weeks she saved part of her check in the amounts of $15, $39, $18 and $27. How much more does she need?
Answer:
90$
Step-by-step explanation:
Answer:
$90
Step-by-step explanation:
$15 + $39 + $18 + $27 = $99
$189 - $99 = $90
Hope this helps <3
I need help to divide fractions
BTW I'm in 5th grade
solve for x in the triangle!!!
Answer:
13
Step-by-step explanation:
Combine all like terms:
14x-2
Since there are 180 degrees in a triangle, all three angles are going to equal 180.
14x-2=180
Add 2
14x=182
Divide by 14
x=13
Given the complementary angle of y is 43º. Find the supplementary angle of y
Step-by-step explanation:
complementary = adds up to 90 degrees.
supplementary = adds up to 180 degrees.
the complementary angle of y is 43 degrees.
so, y = 90 - 43 = 47 degrees.
the supplementary angle of y = 47 is
180 - 47 = 133 degrees
Hello!
Given the complementary angle of y is 43º.
90 - 43 => 47°
Find the supplementary angle of y
180-43 => 137°
HELP PLZ !!
The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)
Answer:D
Step-by-step explanation:
Problem 2
A recipe for sparkling grape juice calls for 112 quarts of sparkling water and 34 quart of grape juice.
How much sparkling water would you need to mix with 9 quarts of grape juice? Response area of sparkling water.
How much grape juice would you need to mix with 154quarts of sparkling water? -- area of grape juice.
How much of each ingredient would you need to make 100 quarts of punch? ---- area of sparkling water and Response area of grape jui
Answer:
m
Step-by-step explanation:
Question in on picture attached
Answer: 12
Step-by-step explanation:
180 = 76 + (3x+3) + (6x-7) = 12
Write each equation in STANDARD FORM. y=-2/3x+3
[tex]\huge\underline\mathtt\colorbox{cyan}{2/3x+y+3=0}[/tex]
a drink in japan costs 374 yen. The exchange rate is £1 = 189 yen. What is the cost in pounds
Answer:
Roughly £2
Step-by-step explanation:
multiply the echange rate by 2 , its 378Yen
96.1 is 39 percent of what? This is 6th grade advanced math btw.
Answer:
9610/39
Step-by-step explanation:
You need to multiply 96.1 by the reciprocal of 39% to get the original number. 96.1x100/39 = 9610/39. This can also be rounded to 246.41
what is the solution of the equation 9x+12=39
Answer:
X=3
Step-by-step explanation:
because 39-12=27 and 9x3=27 and 27+12=39
Answer:
x=3
Step-by-step explanation:
9x+12=39
9x=27
x=3
Gabriella made 5% of her free throws over the season. If she shot 180 free throws, how many did she make?
Answer:
9
Step-by-step explanation:
can anyone help me with this?
Find the missing angle measure.
Answer:
116
Step-by-step explanation:
Given shape has 6 angles and the sum of interior angles for this shape is calculated as following:
180*(6-2) = 720 now to find x we need to find the sum of given angles first:
144 + 163 + 50 + 131 + 126 x = 720
614 + x = 720 subtract 614 from both sides
x = 116
The Clark family bought 8 crates of eggs last week. Each crate had 12 eggs. Since then, they have eaten 28 of the eggs. How many eggs are left?
Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?
Answer:
x less than or equal to 16.6
Step-by-step explanation:
50 divided by 3 is 16.6
since Jill wants 50 square feet as the maximum area x can be less than 16.6.
please help me!!!!!!
Answer:
S.I = P x R x T / 100
Step-by-step explanation:
therefore 8000 x 7 x 5 / 100 = 280000/ 100
= 2800
5x - 3 + 7y
x= 3 y= -7
Decompose and use the distributive property to find the product of 5 × 7.3. 35.0 36.5 35.5 31.5 PLEASE HELP PLEASE T^T
Answer:
The answer is 36.5
Step-by-step explanation:
Simplify the following:
Answer:(5x+8)/[(x+4)(x-1)(x+3)]
Step-by-step explanation:
1. First factorize the quad expressions in the denomeneter of both fractions.
2. Then choose you arithmetic common denomeneter .
3. And the rest is child's play.
What is the radius of both circles? (I NEED HELLLLPPPPP)
Answer:
Ik think that the first one is 5. im not sure tho
a
8) A bridge builder plans to construct a cable suspension bridge in your town. The cable being used will form
a curve modeled by the equation h(x) = 3x2 - 6x + 200, where x represents the length of cable used (in feet)
and h(x) represents the height of the cable (in feet). At what height will the cable hang closest to the bridge
deck?
Answer:
197
Step-by-step explanation:
https://www.cusd80.com/cms/lib/AZ01001175/Centricity/Domain/8294/HA2%20Chapter%202%20Review%20Key.pdf
x - 7 < -20 inequalify
ps. also tell me is it's closed or open ⭕ (I tried to get a picture and it wasn't working)
Step-by-step explanation:
x - 7 < -20
x < -20 + 7
x < -13
X = (-12, -11, -10,...)
[tex] \sf \longmapsto{x}−7<−20[/tex]
Let's start.
Add [tex]\text7[/tex]to both sides[tex] \sf \longmapsto \: x−7+7<−20+7[/tex]
Answer[tex] \sf \longmapsto \: x<−13[/tex]
A family wants to build a pen for their new puppy. They want the area of the pen to be more than 225 square feet.
If the width of the pen is 25 feet, what is the set of possible lengths for the pen?
The pen must have it's length from any value greater than 9 for it's area to be greater than 225 squared feet
InequalityIn Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions
Given that the area (A) must be greater than 225 squared feet, the width is 25 feet.
Assuming the pen is rectangular in shape;
A = L * W
L * 25 > 225
25L > 225
solving for L
L > 225/25
L > 9
The possible lengths for the pen are values greater than 9
Learn more on inequality here;
https://brainly.com/question/25275758
#SPJ1
help only answer if you know!!!!
Subtract.
18 7/12−9 4/12
8
8 1/3
9
9 1/4
Answer:
9 1/4
Step-by-step explanation:
I hope this helps! it should be correct
PLEASE HELP!!! WORTH 50 PTS
6.7 Problem 12
A given bacteria culture initially contains 2500 bacteria and doubles every half hour. The number of bacteria p at a given time t is given by the formula p(t)=2500ekt for some constant k. (You will need to find k to answer the following.)
(a) Find the size of the bacterial population after 20 minutes.
(b) Find the size of the bacterial population after 9 hours.
Answer:
I think it is 392=but am not sure
Please help it’s so hard for me
Answer:
Answer is d
Step-by-step explanation:
Do all direct proportional graphs need to start from the origin?
Answer:
Direct proportional graphs do not need to start from the origin.
Step-by-step explanation:
Direct proportional graphs do not need to start from the origin. However, all direct proportional graphs must go through the origin.
Regardless of the value of the constant of proportionality, k, the graph of the lines all go through the point of origin, (0, 0).
As a proof, the attached screenshot shows the graph of three equations of direct variations. The graphed direct variation equations, y = 2x, y = -2x, and y = ¼x all go through the point of origin.
