Answers
Answer:
D) (f o g)(x) = 10x² - 60x + 93
Step-by-step explanation:
f(x) = 10x² + 3
g(x) = x - 3
⇒ (f o g)(x)
⇒ f(x - 3)
⇒ f(x - 3) = 10(x - 3)² + 3
⇒ f(x - 3) = 10(x² - 6x + 9) + 3
⇒ f(x - 3) = 10x² - 60x + 90 + 3
⇒ (f o g)(x) = 10x² - 60x + 93
Answer:
[tex]\textsf{D)} \quad (f \circ g)(x)=10x^2-60x+93[/tex]
Step-by-step explanation:
[tex]\textsf{If }\:f(x)=10x^2+3\:\textsf{ and }\:g(x)=x-3\:\textsf{ then}:[/tex]
[tex]\begin{aligned}(f \circ g)(x) & = f[g(x)]\\ & = f(x-3)\\& = 10(x-3)^2+3\\& = 10(x^2-6x+9)+3\\& = 10x^2-60x+90+3\\& = 10x^2-60x+93\\\end{aligned}[/tex]
Related Questions
please help will mark Brainliest!!
Answers
[tex]~~~~~~x+80^{\circ} = 180^{\circ}\\\\\implies x = 180^{\circ} - 80^{\circ}\\\\\implies x = 100^{\circ}[/tex]
You flip a coin and then roll a 6-sided number cube (a die).
a. When finding the probability, does it matter whether you roll the die or flip the coin first?
b. Is there more than one way to draw a tree diagram for this problem? If so, does that change the likelihood that any outcome will occur?
c. Draw the shape of the tree diagram that you would use.
d. How many outcomes are there? List them.
e. Find the probability of rolling an even number and getting heads.
Answers
Answer:
a) No, it does not matter whether you roll the die or flip the coin first, as these two events are independent of each other, which means they do not affect each other.
b) Yes.
Let event 1 be flipping a coin and event 2 be rolling a die.Let event 1 be rolling a die and event 2 be flipping a coin.The likelihood that any outcome will occur will not change, as the events are independent.
c) see attached
d) 12 outcomes (H = head, T = tail, numbers represent the value of the die)
H 1 T 1
H 2 T 2
H 3 T 3
H 4 T 4
H 5 T 5
H 6 T 6
e)
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(even)=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]
[tex]\implies \sf P(head)=\dfrac{1}{2}[/tex]
[tex]\implies \sf P(even)\:and\:P(head)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}[/tex]
How do I solve this with a fraction?
Answers
Answer:
75°
Step-by-step explanation:
x° and (x/5)° are complementary angles.-> x° + (x/5)° = 90°-> (6x/5)° = 90°-> x° = 90° * 5/6-> x° = 75°Answer:
x = 90
Step-by-step explanation:
[tex]m\angle 1+m\angle 2=90[/tex]
[tex]\Longleftrightarrow x+\frac{x}{5} =90[/tex]
[tex]\Longleftrightarrow \frac{6x}{5} =90[/tex]
[tex]\Longleftrightarrow x=\frac{5\times 90}{6} =\frac{450}{6} = 75[/tex]
Algebraic Proofs. Geometry
Answers
Answer:
Step-by-step explanation:
One of the acute angles of a right-angled triangle is 16 degrees larger than the other. How many degrees are there in each of the acute angles?
Please answer using a linear equation.
Answers
Answer:
30 & 60°
Step-by-step explanation:
2x + X + 90 = 180
3x = 90
X = 30°
so the accute angles are 30° and 60°
Nadia is buying sweater for $17.69 and a pair of pants for $24.35. if Nadia pays with a $50 bill, how much change will she receive
Answers
Just add up what she bought and then subtract how much she has
Find cot(theta) if tan(theta)=2 and 180°<(theta)<270°. ( 20 POINTS ) (Trigonometric Identities )
Answers
Answer:
Cot theta = 0.2
Step-by-step explanation:
[tex]180^\circ < \theta < 270^\circ[/tex]
So, theta is in the third quadrant
[tex]Cot \ \theta =\dfrac{1}{Tan \ \theta}\\[/tex]
[tex]= \dfrac{1}{2}[/tex]
[tex]\sf Cot \ \theta = 0.5[/tex]
Help!!! Photo is linked below.
Answers
tan-1 = 71/81
A Farmer Leans a 12 ft Ladder Against A Barn. The Base of the Ladder Is 6ft From The Barn.l To The Nearest Foot, How High on the Barn Does The Ladder Reach???
Answers
Answer:
10 ft to nearest foot.
Step-by-step explanation:
We use the Pythagoras theorem:
12^2 = 6^2 + h^2 where h is the height on the barn
h^2 = 12^2 - 6^2
h^2 = 144 - 36 = 102
h= √108 = 10.39
Are a 10-degree angle and a 65-degree angle complementary
angles?
Are a 40-degree angle and a 50-degree angle
complementary angles?
Are a 140-degree angle and a 40-degree angle
supplementary angles?
Are a 120-degree angle and a 60-degree angle
complementary angles?
Answers
Answer:
Complementary angles means sum of angles must to 90 degrees.
Supplementary angles means sum of angles must be 180 degrees.
1.
10 degree + 65 degree = 75 degree
10 degree + 65 degree ≠ 90 degree
So, 10-degree angle and a 65-degree angle are
not complementary angles.
2.
40 degree + 50 degree = 90 degree
So, 40-degree angle and a 50-degree angle are
complementary angles.
3.
140 degree + 40 degree = 180 degree
So, 140-degree angle and a 40-degree angle are
supplementary angles.
4.
120 degree + 60 degree = 180 degree
120 degree + 60 degree ≠ 90 degree
So,120-degree angle and a 60-degree angle are
not complementary angles
The measure of an angle is 60 greater than the measure of its complement find the measure of each angle
Answers
Answer:
[tex] \\ \\ 90-60=30degree \\ \\ [/tex]
Answer:
15° and 75°
Step-by-step explanation:
The sum of the measures of complementary angles is 90.
Angle 1 measures x.
Angle 2 measures x + 60.
Their sum is 90.
x + x + 60 = 90
2x + 60 = 90
2x = 30
x = 15
x + 60 = 75
Answer: 15° and 75°
What Study Design method was used in the situation?
Scenario: A psychology professor is trying to determine if people in a heightened state of fear tend to have
negative views of society. The professor has 200 participants and divides them into groups based on both race
and gender. The professor then selects names from each group and places them into either the study group or
control group. The participants placed in the study group are shown scary movies then asked a series of
questions about how they feel about different societal issues. The participants placed in the control group are
asked how they feel about different societal issues.
A) Simulation
B) Experiment
C) Observational Study
D) Questionnaire
Answers
Answer:
What Study Design method was used in the situation?
Scenario: A psychology professor is trying to determine if people in a heightened state of fear tend to have
negative views of society. The professor has 200 participants and divides them into groups based on both race
and gender. The professor then selects names from each group and places them into either the study group or
control group. The participants placed in the study group are shown scary movies then asked a series of
questions about how they feel about different societal issues. The participants placed in the control group are
asked how they feel about different societal issues.
A) Simulation
B) Experiment
C) Observational Study
D) Questionnaire
Answer:
A is the answer just you the process of elimination
Find the value of cos I rounded to the nearest hundredth, if necessary.
18
K
J
30
24
I
Answers
Answer:
the value of cos is 26
k =14
j=30
Step-by-step explanation:
mark me as brainlist
Question
Type of cookie
Cost per cookie,
in dollars
Chocolate chip
$0.73
Double chocolate
$0.82
Oatmeal raisin
$0.70
Sugar
X
Butter pecan
$0.86
The table above shows a bakery's cost per cookie for each of the five types of cookies the bakery sells. If
the mean cost per cookie is $0.73, what is the cost per cookie, in dollars, for a sugar cookie?
O $0.54
O $0.67
O $0.79
O $0.84
Answers
The cost per cookie, in dollars, for a sugar cookie is A; $0.54.
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
WE know that Chocolate chip = $0.73
Double chocolate = $0.82
Oatmeal raisin = $0.70
Sugar = X
Butter pecan = $0.86
We need to find the cost per cookie, in dollars, for a sugar cookie.
So, Mean = $0.73
Mean = 0.73 + 0.82 + 0.70+ X + 0.86 / 5
0.73 (5) =0.73 + 0.82 + 0.70+ X + 0.86
x = 0.54
Therefore, The cost per cookie, in dollars, for a sugar cookie is A; $0.54.
Learn more about mean and median;
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z + 15 = 21
z =
help mee please and thank you
Answers
- 15 - 15
z = 6
A print shop borrows $6700 from a credit union for 338 days the credit union charges simple interest at an annual rate of 10% for this loan assum each day is 1/365 of a year
Answers
Answer:
The total he would have to pay back would be $7,320.44
Step-by-step explanation:
(I'm assuming you want the total amount he needs to pay back)
6700 x 0.10 = 670 per year
670 ÷ 365 = 1.835616438356164
1.835616438356164 × 338 = 620.44
620.44 + 6700 = 7,320.44
The drug Viagra comes in a quantity of 30 tablets with an AWP of $900. The pharmacy has an agreement with the supplier to purchase the drug at the AWP minus 15%. The insurer is willing to pay the AWP less 5% plus a $2.50 dispensing fee. How much profit does the pharmacy make on a prescription for 6 tablets?
Answers
The profit of 5103.5 by making a prescription for 6 tablets.
What is percentage?
Percentage, a relative value indicating hundredth parts of any quantity.
The drug Viagra comes in a quantity of 30 tablets with an AWP of $900.
The insurer is willing to pay the AWP less 5% plus a $2.50
900/TAB = X 30 TABS =$27000
27000 * (0.05)= $1350
27000-1350.00
=$25650 + $2.50
=25652.5 for 30 tablets
For 6 tablets,
= (25652.5 / 30)*6
= 5103.5
Learn more about percentage here:
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help me wiht ixl pls
Answers
Answer:
it's either 42 If you add all the sides, or 1769472 if you multiple
what is the slope of the line that passes thought the points (4,-6) and (-2,3)? write your answer on simplest form.
Answers
Step-by-step explanation:
[tex] \frac{y - y0}{x - x0} \\ \frac{ - 6 - 3}{ 4 + 2} \\ - \frac{9}{6} = - \frac{3}{2} = 1.5[/tex]
Find the slope of the line 3x - y = 15
Answers
Answer:
3
Step-by-step explanation:
Rearrange in the slope-intercept form :
3x - y = 15y = 3x - 15Comparing this to the standard equation :
y = mx + cm = slopec = y-interceptOn comparing, it is clear that the slope of the line is 3Please answer, Thank you. Image below.
I need to find the missing angle, the letter represents the missing angle.
Answers
Answer:
88°
Step-by-step explanation:
The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:
46° + 46° + e = 180°
Solving this gets e = 88°.
Can you please help me with number 5 asap? Thank you! : )
Answers
Step-by-step explanation:
the manufacturing costs are defined by
m(x) = 25x + 150
the selling revenue is defined by
s(x) = 50 + 30x = 30x + 50
clearly, the selling amount is bigger than the manufacturing amount (also supported by the fact that 30x > 25x). otherwise the company is going bankrupt in no time.
so,
a)
the profit is (as usual) revenue minus manufacturing :
p(x) = 30x + 50 - 25x - 150 = 5x - 100
b)
x = 150
p(150) = 5×150 - 100 = 750 - 100 = $650
since the result is positive, yes, they are making a profit. and it is $650.
Answer:
5.a) p = 5x - 100
b)p = $650
Step-by-step explanation:
5.a)
Revenue minus cost:p - Profit
p - Profitc - Cost
p - Profitc - Cost - revenue
p = r - c
p = (30x + 50) - (25x + 150)
p = 5x - 100
b) The company will make profit.
p = 5x - 100
p = 5(150) - 100
p = 750 - 100
p = $650
or
p = (30×150 + 50) - (25 × 150 + 150)
p = $650
a farmer is able to harvest 300 kg of potatoes in 5 hrs.how many kilos will 3 farmers harvest in 10hrs?
Answers
Answer:
1800 kgStep-by-step explanation:
1 farmer is able to harvest 300 kg of potatoes in 5 hrs
Then
1 farmer is able to harvest (300×2 = 600) kg of potatoes in 10 hrs
therefore,
3 farmers are able to harvest (600×3 = 1800)kg of potatoes in 10 hrs
A firm pays $52 for a car seat and wants a 34% markup for operating expenses as well as a 6% markup for profit. However, customers think the car seats are ugly, so they are not selling. Management reduces the price of each car seat by $25 to get rid of them.
Answers
Answer:
See Below
Step-by-step explanation:
Initial cost = $52
Markup for operating expenses = 34%
$52 + 34% = $52*1.34 = $69.68
Markup for profit = 6%
69.68 + 6% = 69.68*1.06 = 73.86 (rounded)
a) The selling price is $73.86
b) The reduced price is:
$73.86 - $25 = $48.86
c) The percent of markdown:
25/73.86*100% = 33.85% (rounded)
d) The absolute loss:
$69.68 - $48.86 = $20.82
1/2 x 1350 x 144 = 97200 J where did they get the 144 from?
Answers
Speed^2 or velocity^2 because 12x12=144
It's looks like the Kinetic energy equation:
KE = 1/2mv^2
Hope this helps!
Draw the graph of the equation 2x - y = 10.
Answers
Answer:
see attached
Step-by-step explanation:
The graph of a linear equation can be drawn using any of several methods. Here, we are given the equation in standard form. We notice that the variable coefficients are both divisors of the constant, which means the x- and y-intercepts will be integer values. It will be convenient to draw the graph using those points.
__
The x-intercept is the x-value when y = 0.
2x -0 = 10
x = 10/2 = 5 . . . . . . (5, 0) is a point on the line
__
The y-intercept is the y-value when x = 0.
0 -y = 10
y = -10 . . . . . . . (0, -10) is a point on the line
__
The graph can be drawn by plotting these points and drawing the line through them. This is shown in the attachment.
The most popular roller
coaster has room for 12
riders. They are colored
as below. Answer the
questions based on the
coaster train.
What’s the probability that a rider won’t ride in a red seat?
Answers
4/12 chance of dying
help will mark Brainliest
Answers
Answer:
A.
Step-by-step explanation:
16 multiplied by 2 is not 30
Hope this helps! ;-)
Answer:
a/top left
Step-by-step explanation:
16 x 2 is 32 not 30
what is this help plssss
Answers
Answer:
C
Step-by-step explanation:
8- 3.14159265359 = 4.85840734641.
or
8-pi = 4.85>5 which is incorrect.
What are some key features of sequence and series graphs?
Answers
Answer:
The key features that are unique to the graphs of sequences and series are that they are discrete.
Explanation:
That means that the graph is not a continuous line or curve that joins all the points. On the contrary, the graph is a set of separated dots, because the values are valid only for specific points.