21%
For all values of x
(2)
f(x) = (x + 2)2 and g(x) = 3(x - 1)
a) Find gf(x), giving your answer in the form a(x2 + bx + c)
where a, b and care integers.
(x² +
x +
b) Find g '(12)
(2)
Answer:
f(x) = (x + 2)2 = 2x + 4
g(x) = 3(x - 1) = 3x - 3
gf(x) = (2x + 4)(3x - 3)
= 6x² - 6x + 12x - 12
= 6x² + 6x - 12
To write the final answer in the form
a(x² + bx + c) we factorize the expression
Thus
6x² + 6x - 12
= 6( x² + x - 2)
where a = 6, b = 1 and c = - 2
b.) to find g '(12) we first find g ′
To find g′ equate g(x) to y
Thus
g(x) = y
y = 3x - 3
x = 3y - 3
3y = x + 3
Divide both sides by 3
We get
y = x+3/3
That's g′ = x + 3 / 3
g′(12) = 12 + 3 / 3
= 15/3
= 5
Hope this helps
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? −3x2 − 5x + 9 = 0 a = 5, b = 9, c = 0 a = 3, b = 5, c = 9 a = −3, b = −5, c = 9 a = −5, b = 9, c = 0
Answer:
a = -3 b = -5 and c = 9
Step-by-step explanation:
−3x^2 − 5x + 9 = 0
The quadratic function is written as
ax^2 + bx+c =0
So a = -3 b = -5 and c = 9
Answer:
a = -3, b = -5 and c = 9
Step-by-step explanation:
Given Quadratic Equation is:
=> [tex]-3x^2-5x+9[/tex]
Comparing it with standard form of quadratic equation [tex]ax^2+bx+c[/tex], we get
=> a = -3, b = -5 and c = 9
Which of the following best describes the slope of the line below?
O A. Undefined
O B. Negative
O c. Positive
O D. Zero
Answer:
zero or undefined
Answer:
it's d zero.
Step-by-step explanation:
just took the test
PRE CALC, please help 22 POINTS
Answer:
D. f(x)=3^x+5
Step-by-step explanation:
D. have a domain and range
PLEASE HELP
Prison M and pyramid N and have the same base area and the same height. Cylinder P and prism Q have the same height in the same base perimeter. Come Z has the same base area of cylinder y, but its height is three times the height of the cylinder y. The figures? And? Have the same volume
9514 1404 393
Answer:
Cone Z, cylinder Y
Step-by-step explanation:
Pointy objects such as pyramids and cones have 1/3 the volume of a prism (or cylinder) with the same base area. So, for a cone and cylinder of the same base area to have the same volume, the cone must be 3 times as high.
The figures described as having that relationship are ...
cone Z, cylinder Y
_____
Additional comment
The perimeter of a prism is not sufficient to define its base area, unless the shape of the base is well-enough defined. However, the perimeter of the base is useful for determining the lateral surface area. Unfortunately, that is not of any interest in this problem.
Est. Length: 2:00:00
x
Wyatt Stewart: Attempt 1
(06.01 MC)
What is the value of the expression shown below?
(2) 12 point)
4 + 16 +2244
O 1) 20
O 2 16
0 3 2
O 4) 5
Answer:
Step-by-step explanation:
B
Helpppp meeee do ths
Answer:
7/10
Step-by-step explanation:
10 dishes
3 meat dishes = ( chicken, hamburger, meatloaf)
10-3 = 7 that are not meat
P ( not meat) = not meat / total
=7/10
Answer:
7/10
Step-by-step explanation:
There are a total of 10 meals to choose from. There is 1 chicken, 1 hamburger, and 1 meatloaf. Together they make 3 meat choices. So there are 3/10 of probability of choosing meat. We are looking for the probability of not choosing meat which would be 7/10. This is because the whole amount of meals 10- 3 meat chooices equals 7 total of meals that are not meat. Which gives us the probability of 7/10.
Hope that was helpful!
(Brainliest???) :P
Gabe can wrap 1 2/3 presents in 1/3 hour. how many presents can Gabe wrap per hour?
Answer:
5.06
Step-by-step explanation:
1 2/3 = 1/3
x = 1 (cross multiply)
1/3 x = 1 2/3 (divide both sides by 1/3)
x = 5.06
Sorry the final answer is in decimal. I think better in decimal.
Answer:
Gabe can wrap 5 presents in an hour.
Step-by-step explanation:
So, to find the answer all you have to do is just multiply how many presents he can wrap in 1/3 hours and multiply that by 3. That is then your answer.
Brainliest would be appreciated.
I hope that I was able to help you.
In a recent television survey, participants were asked to answer ʺyesʺ or ʺnoʺ to the question ʺAre you in favor of the death penalty? ʺ Six thousand five hundred responded ʺyesʺ while 4100 responded ʺnoʺ. There was a fifty-cent charge for the call.
A) stratified B) random C) cluster D) convenience E) systematic
Answer:
D) Convenice
Step-by-step explanation:
People who called in were already wiilling to answer with a 50 cent charge and had available time to answer the survey
What shape will you get if you take a cross section of a square pyramid parallel to its base? ANSWERS: A rectangle A triangle A square A parallelogram
Answer:
A square
Step-by-step explanation:
Since the base is a square, any plane of the pyramid parallel to the base is shaped like a square (except the very top one which is a point).
Square shape will you get if you take a cross section of a square pyramid parallel to its base
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
'A square pyramid is a three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'
According to the given problem,
If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.
Hence, we concluded that square could be formed by slicing the square pyramid by a plane.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an=-6+(n-2)8 B. an=8+(n-6)(-1) C. an=8+(n-1)(-6) D. an=8+(n-1)6
Answer:
an = 8 + (n-1) *(-6)
Step-by-step explanation:
The explicit formula is
an = a1+ d (n-1) where a1 is the initial value and d is the common difference
The initial value is 8 so a1 = 8
The common difference is what we are adding or subtracting each time
We are subtracting 6 each time as we see from the recursive forumla
so d = -6
an = 8 -6(n-1)
or
an = 8 + (n-1) *(-6)
Answer:
C
Step-by-step explanation:
[tex]a_{n}-a_{n-1}=-6\\d=-6\\a_{n}=a_{1}+(n-1)d\\a_{n}=8+(n-1)(-6)[/tex]
Can someone help me out please :)
Students in a class sit two major exams.
75% of students pass the maths exam.
80% of those who pass
the maths exam
also pass the science exam. 40% of those
who fail the maths exam pass the science
exam. Find the probability that a student
chosen at random:
(b) fails both exams.
%
Answer:
15%
Step-by-step explanation:
25% fail math
60% of the 25% above fail science
thus,
[tex] \frac{25}{100} \times 60\%[/tex]
=15% of total student
Find the area of this circle. Area = _______ in2. Use 3.14 for pi and round to the nearest tenth. A. 35.8 B. 28.3 C. 254.3 D. 1017.4
Answer:
A ≈ 254.5 in²
Option C
Step-by-step explanation:
Area of a Circle Formula: A = πr²
d = 2r
Since we are given diameter d, we simply divide by 2 to get radius r:
r = 18/2 = 9
Then we simply plug it into the formula:
A = π(9)²
A = 81π
A = 254.469
A circle with a radius of 9 inches has an area of 254.3 square inches. The of aarea circle is calculated using the formula πr², where π is a mathematical constant approximately equal to 3.14 and r is the radius of the circle.
Hence, the correct option is C.
The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius of the circle. In this case, the radius is 9 inches, so the area is given by:
In this case, the radius is 9 inches, so the area of circle is given by,
Area = pi × [tex]9^{2}[/tex]
Area = 3.14 × 81
Area= 254.3
The value of pi is approximately 3.14, so the area of the circle is approximately 254.3. However, the question asks for the area rounded to the nearest tenth, so the answer is 254.3.
Learn more about area here: brainly.com/question/30307509
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Jerry's motorcycle tank holds 6gallons of gas. There are 3 gallons of gas currently in the tank. How much more gasoline will
it take to fill the tank? (Simplify your answer and write it as a mixed numner
Answer:
It takes 3 more gallons to fill the tank.
Step-by-step explanation:
6-3=3
Considering the following statements, what is X → Z? X → Y: If the sum of the interior angles of a shape is 180°, then it's a triangle. Y → Z: If a shape is a triangle, then it has three sides.
A) X → Z: If a shape has three sides, then it's a triangle.
B) X → Z: If the sum of the interior angles of a shape isn't 180°, then it doesn't have three sides.
C) X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.
D) X → Z: If a shape has three sides, then the sum of the interior angles of the shape is 180°.
Answer: X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.
Step-by-step explanation:
Answer: The answer is C.
Step-by-step explanation: I did the test and it was right
Graph the line that passes through the points (4, 3) and (1,6) and determine the equation of the line.
Answer:
y = -x + 7
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Step 1: Find slope
m = (6 - 3)/(1 - 4)
m = -1
Step 2: Find b
y = -x + b
6 = -1 + b
b = 7
Step 3: Rewrite linear equation
y = -x + 7
Answer:
y = -x + 7
Step-by-step explanation:
(x1, y1) = (4 , 3)
(x2, y2) = (1 , 6)
[tex]slope=\frac{y_{2}-y{1}}{x_{2}-x_{1}}\\\\=\frac{6-3}{1-4}\\\\=\frac{3}{-3}\\\\=-1\\\\y-y_{1}=m(x-x_{1})\\\\[/tex]
m = - 1; (4,3)
y - 3 = (-1)(x -4)
y - 3 = -x + 4
y = -x + 4 + 3
y = -x + 7
This year at the state fair they held two hot dog eating contests. The first contest had 19 contestants and the winner would be the person that ate the most regular-sized hot dogs in 15 minutes. The second contest had 23 contestants and the winner would be the person that ate the most jumbo-sized hot dogs in 15 minutes. The data from both contests are shown in the box-and-whisker plots above. Using the box-and-whisker plots, the results for the____-sized hot dog contest has greater variability. The difference in the medians of the two contests is approximately _____times the interquartile range.
Answer:
*regular-sized hot dog contest has greater variability
*The difference in the medians of the two contests is approximately 2 times the interquartile range.
Step-by-step explanation:
Variability of the data from both contests can be compared using the range or interquartile range of each set of data from both contests.
The greater the value of the range or interquartile range, the greater the variability.
Range for regular-sized hot dog contest = 32 - 17 = 15
Range for Jumbo-sized hot dog contest = 22 - 8 = 14
Interquartile range for regular-sized hot dog contest = 27 - 22 = 5
Interquartile range for jumbo-sized hot dog contest = 16 - 11 = 5
Median for regular-sized hot dog contest = 23
Median for jumbo-sized hot dog contest = 14
The difference in the median of both contests = 23 - 14 = 9, which is approximately 2 times the interquartile range (5)
Thus, results for the regular-sized hot dog contest has greater variability, be side its range is 5, which is greater than that for jumbo-sized contest.
The difference in the medians of the two contests is approximately 2 times the interquartile range.
The interquartile range of both contests is 5. The median difference between both contests is 9, it is approximately 2 times 5. (i.e. 9/5 = 1.8 ≈ 2).
Which Anna quality graft is the solution to X/ < -3
Answer:
Well the following inequality [tex]x<-3[/tex] as a graph is in the image below.
Subtract simplify your answer completely
Answer:
Answer is A
Step-by-step explanation:
Answer:
[tex] \frac{3x + 13}{ {x}^{2} + 4x + 5} [/tex]Option A is the correct option
solution,
[tex] \frac{8x + 7}{ {x}^{2} + 4x + 5 } - \frac{5x - 6}{ {x}^{2} + 4x + 5} \\ = \frac{8x + 7 - (5x - 6)}{ {x}^{2} + 4x + 5} \\ = \frac{8x+ 7 - 5x + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{8x - 5x + 7 + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{3x + 13}{ {x}^{2} + 4x + 5 } [/tex]
Hope this helps...
Good luck on your assignment...
does this graph represents a function? why or why not?
Answer:
Yes, it passes the vertical line test
Step-by-step explanation:
This graph has a one to one correspondence and will pass the vertical line test, there fore it is a function
Please help with this
Answer: x = 10
Step-by-step explanation:
Hi, to answer this question we have to apply proportions, since the sides are equivalent.
15/25
6/x
So, for equal ratios:
15/25 = 6/x
Solving for the missing side x:
x = 6 / (15/25)
x = 10
In conclusion, the correct option is D) 10
Feel free to ask for more if needed or if you did not understand something.
Sarah dreams of going to medical school and giving quality medical care to people who live in countries in crisis. Which of the following is an organization she might want to work for? Peace Corps. World Health Organization. United Nations. Alliance for small island states
I would say World Health Organization because that is for the world and Sally dreams of going to medical school and giving quality medical care to people who live in countries in crisis.
Answer:
B
Step-by-step explanation:
I took the test ;P
4. Which regions contain more than 3 million males?
Answer:
The Eastern region has more than 3 million males.
Help please, I'm not timed
Answer:
B 30% you can divide 160 the total by 10then multiply and you can check B and C
sin law or cos law?!!!!!!!!!!!!!
Answer:
Law of Sines
Step-by-step explanation:
Law of Sines: [tex]\frac{A}{sina} =\frac{B}{sinb} =\frac{C}{sinc}[/tex]
Step 1: Solve for m∠B
[tex]\frac{25}{sin36} =\frac{27}{sinx}[/tex]
25sinx = 27sin36°
sinx = 27sin36°/25
[tex]x = sin^{-1}(\frac{27sin36}{25} )[/tex]
m∠B ≈ 39.4°
Step 3: Find m∠C
180 - (36 + 39.4)
180 - 75.4
m∠C = 104.6°
(-2a-4b-6c) - (-a - 2b +3c)
━━━━━━━☆☆━━━━━━━
▹ Answer
-a - 2b - 9c
▹ Step-by-Step Explanation
(-2a - 4b - 6c) - (-a - 2b + 3c)
Remove parentheses
-2a - 4b - 6c - (-a - 2b + 3c)
Collect like terms
-a - 4b - 6c + 2b - 3c
Final Answer
-a - 2b - 9c
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: -a - 2b -9c
Step-by-step explanation:
-2a - (-a) = -a
-4b - (-2b) = -2b
-6c - (3c) = -9c
-a - 2b - 9c
40 points!!! please tell me how to do it not what the answer is :D
Answer:
C
Step-by-step explanation:
You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!
Answer:
see below
Step-by-step explanation:
-3z -( -z -2)
The first step is to distribute the minus sign
-3z --z --2
A negative negative is a positive
-3z +z +2
Then combine the like terms
-3z+z +2
Answer
-2z+2
Triangle ABC is transformed to triangle A′ B′ C′, as shown below: A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 3, 4, B at ordered pair negative 4, 2, C at ordered pair negative 1, 1. A triangle A prime B prime C prime has A prime at ordered pair 3, 4, B prime at ordered pair 4, 2, C prime at ordered pair 1, 1.
Which equation shows the correct relationship between the measures of the angles of the two triangles?
The measure of angle ABC = The measure of angle A prime B prime C prime
The measure of angle ABC = The measure of angle B prime C prime A
The measure of angle BCA = The measure of angle A prime B prime C prime
The measure of angle BCA = The measure of angle C prime A prime B prime
Answer:
The measure of angle ABC = The measure of Angle A' B' C'
Step-by-step explanation:
Because
<A = <A'
<B = <B'
<C = <C'
The answer above is right.
6.5+(-8.3)-(-1.6)+0.7-9.9
Answer:
-12.6
Step-by-step explanation:
OK so I might have done something wrong but just remember when you're adding a negative and and a positive number you're technically just subtracting
what is the recursive formula for this geometric sequence? 2,-10,50,-250,...
Answer:
an = an-1 * (-5)
a1= 2
Step-by-step explanation:
The recursive formula is
an = an-1 * r
a1= initial term
where a1 is the initial term and r is the common ratio
a1 =2 or the starting term
r = second term / first term = -10/2 = -5
an = an-1 * (-5)
a1= 2
Answer:
The correct answer is D
Step-by-step explanation:
2 and -5