Answer:
(fg)(x) = x^2 -2x -8
Step-by-step explanation:
(fg)(x) = f(x)·g(x) = (x +2)(x -4)
= x(x -4) +2(x -4) = x^2 -4x +2x -8
= x^2 -2x -8 . . . . matches the 3rd choice
Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.
Complete question:
Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.
Use Cavelieri’s principle to explain why the volumes of these two stacks of quarters are equal.
Answer:
In this image, we have 2 stacks, whereby one stack forms a cylinder and the other stack doesn't form a cylinder.
We are required to use Cavelieri’s principle to explain why the volumes of the two stacks of quarters are equal.
Cavelieri’s principle states that the volume of two solid figures will be equal if both figures have equal height, the distance from their respective base is equal and their corresponding cross section are of the same area.
Here, we can see that the quater of each stack have the same base area. Since, both quaters have the same base area, there will be no difference in the area of the cross section of both stacks.
The volume of these 2 stacks of quarters will be equal because both stacks have have the same height of 23 quaters.
find the permimter of the quadrilateral if x=2 the perimiter is in inches the perimiters are (4x2+8x) (31 ) (7x+30) (3x2-5x+20)
Answer:
115
Step-by-step explanation:
4*2+8(2) = 24
31
7(2)+30 = 44
3*2-5(2)+20 = 6-10+20 = -4+20 = 16
24+31+44+16
115
4. In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST SP and
m
130°
80°
65°
50°
In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST = SP and m∠R = 130°, what is m∠PST?
Answer: 80°
Step-by-step explanation:
ST = SP and m∠R = 130°
If m∠R = 130°, then,
QPS = 130° ( Opposite angles of a parallelogram are equal)
QPS + SPT = 180° (angle on a staght line)
130° + SPT = 180°
SPT = 180° - 130° = 50°
PTS = SPT = 50° (Base Angle of an isosceles triangle)
m∠PST = 180° - (50° + 50°) (sum of Angle in a triangle)
m∠PST = 80°
A fair dice is rolled.
Work out the probability of getting a factor of 8.
Give your answer in its simplest form.
Answer:
1/2
Step-by-step explanation:
The factors of 8 are 1,2,4
So there are three factors of 8 on the dice
There are a total of 6 numbers on the dice
So the probability is ,3/6
Which in its simplest form is 1/2
Aramis showed the division of 6p2 + 9p + 3 by 3p. A + 3 + B What are the values of A and B? A = 2p and B = p A = 3p and B = p A = and B = A = 2p and B =
Answer:
D) A = 2p and B = 1/p
Step-by-step explanation:
To divide this,
we first see how many times 3p will go into 6p².
[tex]\frac{6p^2}{3p} = 2p[/tex]
It will go in 2p times; this goes up top of the problem.
Multiplying back through, we have
[tex]2p*3p = 6p^2[/tex]
Subtracting this from the first term under the box, we have
[tex]6p^2-6p^2= 0.[/tex]
This cancels. Bring down the next term, 9p.
See how many times 3p goes into 9p = [tex]\frac{9p}{3p}=3[/tex]
it goes in 3 times. This goes up top, beside the 2p. We separate them with a +, since the 3 is positive.
Multiplying back through, we have 3(3p) = 9p.
Subtract this from the line above; 9p-9p = 0.
Bring down the last term, 3.
Since this is not 0, this is the remainder.
This gives us
2p + 3 R 3;
writing this as a rational expression, we have
[tex]2p + 3 + \frac{3}{3p}[/tex]
The remainder term, [tex]\frac{3}{3p}[/tex], will simplify to 1/1p or 1/p;
this gives us
[tex]2p + 3 + \frac{1}{p}[/tex]
Therefore, the answer is A = 2p and B = 1/p
Answer:
D) A = 2p and B = 1/p
Step-by-step explanation:
five more than a half number is 6. find the number.
What is the price called at which the quantity demanded is equal to the
quantity supplied?
Hola
Done
Clear
Ali
Which is not a characteristic of the linear parent function?
A. It goes through the origin.
B. The domain is all real numbers.
C. It has a slope of 1.
D. The range is positive real numbers (y > 0).
Answer: D
Step-by-step explanation:
Select all the equations where y=10equals, is a solution.
Choose 2 answers:
A
y+11=22
B
8=18-y
C
60=6y
D
y/5=4
E
10y=20
Answer:
B and C
Step-by-step explanation:
A. y + 11 = 22 → subtract 11 from both sides:
y = 11
---------------------------------------------------------------------------
B. 8 = 18 - y → subtract 18 from both sides:
-10 = -y → divide both sides by -1:
10 = y
----------------------------------------------------------------------------
C. 60 = 6y → divide both sides by 6:
10 = y
-----------------------------------------------------------------------------
D. [tex]\frac{y}{5}[/tex] = 4 → multiply both sides by 5:
y = 20
-----------------------------------------------------------------------------
E. 10y = 20 → divide both sides by 10:
y = 2
Please please please help !!!
Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:
A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)
A)Figure ABCD is similar to figure A′B′C′D′.
B)Figure ABCD is bigger than figure A′B′C′D′.
C)The measure of angle D is equal to the measure of angle A′.
D)The measure of angle D is equal to the measure of angle B′.
Answer:
A
Step-by-step explanation:
These shapes are not identical, because the angles and sides are mirrored, but much like a mirrored object, they are similar. Another way to explain it is when you look into a mirror what you are seeing is not what people see when they see you with their eyes, it's a REFLECTION!
The correct option is Option A: figure ABCD is similar to A′B′C′D′.
What is reflection?Reflection is the translation of the figure about an axis or point so that the distance of the reflected figure from the axis is the same as the distance of the original figure from the axis.
When a point of coordinate (x,y) is reflected about the y-axis then the coordinate of the reflected point will be (-x,y).
In quadrilateral ABCD the coordinate of A is (2,5) and the coordinate of A' is (-2,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point A' is the reflection of point A.
In quadrilateral ABCD the coordinate of B is (1,2) and the coordinate of B' is (-1,2). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point B' is the reflection of point B.
In quadrilateral ABCD the coordinate of C is (3,1) and the coordinate of C' is (-3,1). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point C' is the reflection of point C.
In quadrilateral ABCD the coordinate of D is (4,5) and the coordinate of D' is (-4,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point D' is the reflection of point D.
So all the points of quadrilateral ABCD are reflected about the y-axis.
As it is a reflection about the y-axis for which the size will not be changed and both the reflected and the original figure will be similar.
Therefore the correct option is Option A: figure ABCD is similar to A′B′C′D′.
Learn more about reflection
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Solve:2/3 - 4x +7-2= -9.x +5/6
x = -3/2
x = -2/3
X=2/3
X=3/2
Answer:
2/3-4x+7-2=-9.x+5/6
2/3+7/1-2/1-5/6=-9.x+4x
12+126-36-15/18=-5x
87/18=-5x
29/6=-5x
29/6÷5=-5x÷5
29/6*1/5=-5x÷5
29/30=-x
-29/30=x
-0.9667=x
2 shapes A and B, are similar.
length of edges in A : length of edges in B = 2.5
The perimeter of A is 210mm
work out the perimeter of B
Answer:
525 mm
Step-by-step explanation:
The edges of A : B = 2.5, thus
The perimeters of A : B = 2.5
Thus the perimeter of B is 2.5 times the perimeter of A
perimeter of B = 2.5 × 210 mm = 525 mm
A lock requires a 3 number combination using the numbers 0 through 9, none of which may be repeated. How many outcomes are possible?
48
720
12010
Answer:
720
Step-by-step explanation:
The lock requires that repetition is not allowed.
The possibles numbers are 0 - 9, that is, 10 digits.
The first number in the combination can be picked from the 10 digits.
This means that there are 10 possible choices.
The second number in the combination can now only be picked from 9 digits.
This means that there are 9 possible choices.
The third number in the combination can now only be picked from 8 digits.
This means that there are 8 possible choices.
Therefore, the number of possible outcomes in the combination is:
10 * 9 * 8 = 720 outcomes
YEAR 9 MATHS
PLEASE ANSWER ALL THREE QUESTIONS FOR BRAINLIEST
write all the coordinates down to make the shape please
what the answar for 9+4t=7t+15
Answer:
t= -2
Step-by-step explanation:
9+4t=7t+15
Subtract 4t from both sides
9=3t+15
Subtract 15 from both sides
-6=3t
3t= -6
Divide both sides by 3
t= -2
At the candy store, M&Ms and Skittles are sold for $0.25 per ounce. Kevita puts some M&Ms in a bag and then added 8 ounces of Skittles. The total cost for her bag of candy is $7.50.
Kevita and Mary write the equation 0.25(x+8)=7.50 to represent the situation, where x represents the number of ounces of M&Ms.
Kevita says that to solve this equation, you first distribute the 0.25 through the parentheses to get0.25x+2=6.50.
Mary says that to solve this equation, you first divide by 0.5 on both sides to get x+8=30
Do you agree with either Kevita or Mary? Why? Finish solving the problem to find out how many ounces of M&Ms Kevita put in her bag of candy.
Answer:
The answer should be 22 ounch Hence,kevita is write but there should be 7.50 not 6.50 in kevita equation
Solve the equation for y: x = 2y - 3
Answer:
[tex]y = \frac{1}{2} x+\frac{3}{2}[/tex]
Step-by-step explanation:
Jaylen and Michael are making a pizza with a 16 inch diameter. They want to put three cheese blend on 5 of the 45° slices (including the crusts). Each handful of cheese covers 21 square inches, Calculate the area of the pizza slices that they want to put cheese on.
Answer:
125.66 in2
Step-by-step explanation:
The area of the pizza is given by the formula:
Area = pi * radius^2
The radius of the pizza is half the diameter, so radius = 16/2 = 8 inches
Then, the total area is:
Area = pi * 8^2 = 64pi in2
They will put cheese in 5 of the 45° slices, so the total angle covered is 5 * 45° = 225°.
If the full area of the pizza is 360°, we can find the area covered by cheese using a rule of three:
360° -> 64pi in2
225° -> x in2
x = (225/360) * 64pi
x = 125.66 in2
What does Arc CDE describe?
a minor Arc
a major Arc
a semicircle
a chord
Answer:
I believe it's major arc
Step-by-step explanation:
Second option on edge
Answer:
b
Step-by-step explanation:
What is the value of x ?
Answer:
x=22
Step-by-step explanation:
set all of your values equal to 360 (bc thats the value of the degrees in a circle) and then solve for x!
75 + 92 + ( x+57 ) + ( x+92) = 360
( x+57 ) + ( x+92 ) = 201
2 x = 44
x = 22
Which graph has a correlation coefficient, r, closest to 0.75?
Answer:
option A
Step-by-step explanation:
to find the correlation coefficient by hand, first put your data pairs into a table....
Graph C indicates the graph which has a correlation coefficient, r, closest to 0.75.
What is Correlation Coefficient?Correlation coefficient of a data is the measure which indicates the strength of the linear relationship among two variables in a scatterplot.
Given are four graphs.
The range of values for correlation coefficient, r is from -1 to 1.
The value closest to -1 is considered weak linear relationship between the variables and value closest to 1 considered strong linear relationship between the variables.
Here the value of r is closest to 0.75.
Since it is closest to 1, the linear relationship is stronger. This means that the data points are more centered to form a line or they are close to each other.
Two such graphs are B and C.
Since r is 0.75, it is positive, So the relationship is positive.
So graph C is the correct one.
Hence graph C is the required graph.
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Which pair of angles are vertical angles?
Answer:
angles 1 and 4, and angles 2 and 3
Answer:
1 and 4, 2 and 3
Step-by-step explanation:
Does this actually seem difficult? If you're in High school, because i'm in Middle school and I can answer this question.
The total cost of a new calculator is $81.05. This price includes a 10% discount followed by a 6.5% sales tax. What was the original price of the calculator not including the tax or the discount?
Answer:
68.245
Step-by-step explanation:
total cost = $81.05
10% discount is 10/100× 81.05=8.105
substract 8.105 from 81.05= 72.945
with a 6.5% sales tax
6.5/100× 72.954 = 4.7
72.945-4.7= 68.245 the actual price
if am wrong let me know
Please help! select the correct answer
Answer:
the answer is show me your kitty cat
Step-by-step explanation:
Simplify the expression:
6b – 2b+ 5b – 8
Answer:
9b-8
Step-by-step explanation:
6b+5b-2b-8
11b-2b-8
9b-8
The graph of a linear function is shown
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
the answer is b
Step-by-step explanation:
plz give me a Brainliest
A word that describes the slope of the line is negative. The correct answer is option B.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
For this case the first thing you should know is that we have an equation of the form:
y = mx + b
Where,
m: The slope of the line
b: Cutting point with the vertical axis.
For this case, we observe that the values of y decrease when the values of x increase. Therefore, the function decreases.
This means that it is true that:
m < 0
Therefore, the slope of the line is negative.
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Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!
Answer:
Step-by-step explanation:
Since length times width = the area, you know that the area divided by the length is the width. This means that 6x^2 + 10 / 2 = the length.
6x^2 / 2 = 3x^2
10/2 = 5
You end up with 3x^2 + 5 as the length.
Answer & Step-by-step explanation:
Since you trying to find the width when you are given the length and the area, then you are going to divide the area by the length to get the width.
(6x² + 10) ÷ 2
We can also put this into a fraction so it will be easier to know what you are dividing.
[tex]\frac{6x^2+10}{2}[/tex]
Divide 6x² by 2 and divide 10 by 2. Keep the exponent because 2 does not have a variable.
So, your width will be 3x² + 5
I don't understand this math problem need help plz!
Answer:
A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)
Step-by-step explanation:
When rotating about the origin at an angle of 90° in the counterclockwise direction, the given values of (x, y) are interchanged with y also taking a negative sign. That is ;
(x, y) - - - -> (-y, x)
Therefore, in the question above ;
Translation = (x-2, y+3)
A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4) - - -> A' = (-4, - 7)
B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5) - - -> B' = (-5, -4)
C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4) - - -> C' = (-4, -3)
D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3) - - -> D' = (-3, -4)
Write 150 as a product of primes. Use index notation where appropriate.
Answer:
150=2x5x5x3, or 150=2x5^2x3
Step-by-step explanation:
150=50x3
50=5x10
10=2x5
150=2x5x5x3
how do we calculate on sixth of 42
Answer:
1/6 of 42:
first, of is the same as multiplication so change this:
1/6 * 42
put 42 over 1 so they are both fractions:
1/6 * 42/1
Now solve:
42/6
= 7
:) brainliest?
(if u meant the sixth root of 42, it's about 1.86)
Answer:
7
Step-by-step explanation:
42/6=7