Answer:
a. 4
b. 5
Step-by-step explanation:
a. r = √(112/7) =√16 =4
b. 4x+8 = 28
4x = 28-8
4x = 20
x= 5
The value of X algebraically is 5 and the common difference is;4.
What is a geometric sequence?There are three parameters which differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
We are given that terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
7, 4x+8, 112
Therefore, the common difference is;
r = √(112/7) =√16
r =4
Now, 4x+8 = 28
4x = 28-8
4x = 20
x= 5
The value of X algebraically is 5.
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63
The graph below shows the quadratic function and the table below shows the quadratic function g.
1x)
1
0
X
-4
4
4
0
X
-1
0
1
2
3
4
5
(X) 13
8
5
4.
5
8
13
Which statement is true?
OA The functions fand g have different axes of symmetry and different intercepts.
ОВ. The functions and g have the same axis of symmetry, and they intercept of fis less than the y-intercept of g.
OC. The functions fand ghave the same axis of symmetry, and the intercept of fis greater than the y-intercept of g.
21 Edmentum. All rights reserved.
854 and 13 x this statment is true
The functions f and g have different axes of symmetry and different intercepts. This statement is true. Therefore, the correct option is option A.
What is quadratic function?In maths, a quadratic of degree 2 in one or maybe more variables is referred to as a quadratic polynomial. The polynomial function that a quadratic polynomial defines is known as a quadratic function. Prior to the 20th century, the terms "quadratic polynomial" meaning "quadratic function" were practically interchangeable since it was difficult to distinguish between a polynomial and the related polynomial function.
Authors often mean "having degree approximately 2" and other times "having level at most 2" when they refer to a quadratic polynomial. The functions f and g have different axes of symmetry and different intercepts. This statement is true.
Therefore, the correct option is option A.
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Your question is incomplete but most probably your full question was,
The graph shows the quadratic function f, and the table shows the quadratic function g.
Which statement is true?
A. The functions f and g have the same axis of symmetry and the same minimum values.
B. The functions f and g have the same axis of symmetry, but the minimum value of f is greater than the minimum value of g.
C. The functions f and g have different axes of symmetry and different minimum values.
D. The functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.
A homeowner is planting a vegetable garden. The location
for the garden is 9 m long. The owner wants to have at least
45 square meters of garden area. What is the smallest
possible width of the garden?
A 18 m
B
7 m
6 m
5 m
Answer:
5m
Step-by-step explanation:
9x5=45 and he wants 45 sq meters
What is the mean of 2,0,1,0,4,3,1,0,7
Answer:
2 is the mean
hope this helps
have a good day :)
Step-by-step explanation:
18 is the answer you get when you add all them together, then you are going to divide 9 because that is the # of them for the being to get the final answer of 2.
Answer:
2
Step-by-step explanation:
Average = Sum / Count
= 18 / 9
= 2
mean absolute deviation of 90,84,90 93,63???
Answer:
8.4
Step-by-step explanation:
Instructions
This calculator computes the mean absolute deviation from a data set:
You do not need to specify whether the data is for an entire population or from a sample. Just type or paste all observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line. Press the "Submit Data" button to perform the computation. To clear the calculator, press "Reset".
What is the mean absolute deviation
The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.
Mean absolute deviation formula
This calculator uses the following formula for calculating the mean absolute deviation:
$ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$
where n is the number of observed values, x-bar is the mean of the observed values and xi are the individual values.
solve for r. r - 4.5 < 11
Answer:
r < 15.5
Step-by-step explanation:
r - 4.5 < 11
r (- 4.5 + 4.5) < 11 + 4.5
r < 15.5
The expression 81^x is equivalent to 27^y where x and y are both positive. How to find the value of x/y ?
Answer:
3/4
Step-by-step explanation:
3⁴^x = 3³^y
4x = 3y
=> x/y = 3/4
ron and francine are building a ramp for performing skateboard stunts, as shown in the accompanying diagram. the ramp is 7 feet long and 3 feet high. what is the measure of the angle x, that the ramp makes with the ground, to the nearest tenth of a degree
Answer:
7 plus threeis equal to same like 10 answer is 10
I remember I learnt this but I forgot how to do this. You don’t have to give the answer but at least tell me how to get the answer.
Answer:
Step-by-step explanation:
area of rectangle=l*b
=8*15
=120 cm^2
area of rectangle=l*b
96=16*b
96/16=b
6=b
which graph represents a function?
Answer: The 2nd graph
Step-by-step explanation:
Using the vertical line test, all other 3 graphs have two points that meet on the same lines. This immediately rules all other 3 graphs out as a graph cannot have two points with the same x-axis.
answer all the questions please PLEASE i need it before 30 june
Answer:
1. a = 68°
b = 112°
c = 68°
-----------------
2. a = 127°
-----------------
3. a = 35°
b = 40°
c = 35°
d = 70°
-----------------
4. a = 20°
b = 70°
c = 20°
d = 70°
e = 110°
----------------
5. a = 90°
b = 90°
c = 42°
d = 48°
e = 132°
----------------
6. a = 70°
b = 55°
c = 25°
----------------
Step-by-step explanation:
someone pls help
Select the correct answer
Consider the function RX) = 10% and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of AX)?
g() = f(1 - 6) = 1045 – 6)
OA. The graph of g(x) is the graph of AX) shifted 6 units down.
ОВ. The graph of g(x) is the graph of f(x) shifted to the left 6 units.
OC. The graph of g(x) is the graph of AX) shifted 6 units up.
OD. The graph of g(x) is the graph of fx) shifted to the right 6 units.
Answer:
D
Step-by-step explanation:
The right answer is D
I'm sure
The true statement is (d) The graph of g(x) is the graph of f(x) shifted to the right 6 units.
The equation of the function is given as:
[tex]g(x) = f(x -6) = 10^{x-6}[/tex]
The above equation means that, the equation of function f(x) is:
[tex]f(x) = 10^x[/tex]
And the rule of transformation is:
[tex](x,y) \to (x -6,y)[/tex]
This means that:
Function f(x) is shifted right by 6 units to get function g(x)
Hence, the true statement is (d)
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12) Two hexagonal pyramids are similar. The perimeters of the pyramids are 36 inches and 30
inches. If the volume of the larger pyramid is 64873 in what is the volume of the smaller
pyramid?
Please help me:)
Answer:
54061 in³
Step-by-step explanation:
Using proportion
Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid
30/36 = x/64873
Cross Mulitiply
36 × x = 64873 × 30
x = 64873 × 30/36
x = 54060.833333 in³
Approximately = 54061 in³
Therefore, the volume of the smaller pyramid is 54061 in³
In the right triangle shown, m A = 30° and AB = 12V3.
х
B
30
123
A
How long is AC?
Answer:
∴[tex]Cos A=\frac{AC}{AB}[/tex]
➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]
➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]
➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]
➛ [tex]x=18[/tex] ✓
➛[tex]AC=18[/tex] ✓
----------------------
hope it helps...
have a great day!!
calculate the area of the kitchen if the outer wall with the window is 10 feet, the depth (height) of the kitchen is 7 feet, and the dotted line that connects to two walls is 8 feet.
Answer:
80 Ft²
Step-by-step explanation:
Area= length x width
length= 10 feet
width= 8 feet
A= 10 × 8
A= 80 Ft²
squared because it's feet multiplied by feet
Ft × Ft= Ft²
The point W is plotted on the coordinate grid below. Plot the point W’ , the reflection of W over the y-axis.
( ignore where I put a dot I just needed it to see the bottom )
PLEASE HELP ASAP
Answer:
W: (-3,5)
W': (-3,-5)
Y coordinate
Step-by-step explanation:
if you want me to explain it I can in the comments thing
In the plot the coordinates of W is (-3 , 5 ) , and the reflection will be W' (-3 , -5)
What do you mean by reflection in a graph ?
A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.
When reflecting a figure in a line or in a point, the image is congruent to the preimage.
A reflection maps every point of a figure to an image across a fixed line.
So in the plot the coordinates of W is (-3 , 5 )
and the reflection will be W' (-3 , -5)
The plot of W and W' is attached with the answer.
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3. What should be done to the following equation to get the variable on the left side only?
-3x + 6 = x - 4
a. Add 3x to both sides.
b. Add x to both sides.
C. Subtract 3x from both sides.
d. Subtract x from both sides.
e. Either a or b.
. Either cord.
Answer:
d. Subtract x from both sides.
Joe deposits $2500 in a savings account that pays 5% compounded interest semiannually . What is his balance after one year.
Answer:
here is your answer.....
Step-by-step explanation:
given,
principal (p)= 2500
rate (r)= 5%
time(t)= 1 yrs
now,
(from above photo it continue)
Answer:
$2626.56
Step-by-step explanation:
Formula:
[tex]AV=PV(1+\frac{i}{n})^{nt}\\2500(1+\frac{.05}{2})^{2*1}\\2500(1.025^2)=2626.5625[/tex]
which rounds to
2626.56
Please help with this
P=−4b 2 +6b−9
Q=7b 2 −2b−5
P−Q=
Your answer should be a polynomial in standard form.
Answer:
−11b^2+8b−4
Step-by-step explanation:
−4b2+6b−9−7b2+2b+5
Simplify by adding terms.
11b2+8b−4
Diedra rolls an unbalanced die 72 times and gets a "6" 21 times. If she rolls the die 15 more times, which of these is the most reasonable prediction of the number of times she will not roll a "6"?
By using the relative frequency, we can expect to not roll a "6" in 11 rolls.
How many times can we expect to not roll a "6"?
We know that in a total of 72 rolls, the outcome is "6" 21 times.
Then the relative frequency is:
F = 21/72 = 0.292
Then we can expect that in N rolls, we will get (0.292)*N times a "6".
So the number of times that we will not get a 6, is:
(1 - 0.292)*N
In this case is N = 15, then we get:
(1 - 0.292)*15 = 10.62
Rounding to the next whole number we get 11, this means that we can expect to not roll a "6" in 11 rolls.
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Round 290951.867863 to the nearest hundred.
Answer:
290951. 87
Step-by-step explanation:
you keep what's before the decimal point the same and round what's after it.
The value of each digit in a number is known as the place value. When the number 290951.867863 is Rounded to the nearest hundred the number becomes 291,000.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so on.The hundred mean is multiplied by 100.The hundredth means the hundredth part of that digit which is that digit divided by 100.In any number, the number rounded off to the nearest hundred is when the number is rounded off to its second value before the decimal. Therefore, the given number can be rounded off to the nearest hundred as,
290951.867863 ≈ 291,000
This is because after the hundred place value the digits at the tens and the unit place are 5 and 1, therefore, the number 951, will be rounded off to 1,000.
Hence, when the number 290951.867863 is Rounded to the nearest hundred the number becomes 291,000.
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5. Evaluate the following expression when a = -4
and b = 1/2.
b|3a – 81 – 3/2 – 2a
a) -40
c) 20
b) -20
d) -10
Answer:
Step-by-step explanation:
Given the expression
b|3a – 81 – 3/2 – 2a
If a = -4, b = 1/2
Substitute
(1/2)/3(-4) - 81 - 3/2 - 2(-4)
1/2 * 1/-12 - 81 - 3/2 + 8
= -1/24 - 81 + 8 - 3/2
= -1/24 - 3/2 - 73
= -1-36-1,752/24
= -1,789/24
= -74.5
A square with side 3cm has the same perimeter as a rectangle 5cm long find the difference in they areas
is "6x – 2 – 3x = 3x – 2" a no solution?
Answer:
yes
Step-by-step explanation:
6x-3x-3x=-2+2
you put all same numbers in the same side
that makes 0 on both sides
Help me with the question
Answer:
y_2 is 8 units
Step-by-step explanation:
Given that
The distance between the point is 13 units
x_1 is 5
y_1 is 3
x_2 is -7
We need to find out the y_2
So, the following formula should be used
[tex]d = \sqrt({x_2 - x_1})^2 + (y_2 - y_1)^2\\\\13 = \sqrt({-7-5})^2 + (y_2 - 3)^2\\\\169 = 144 + (y_2)^2 + (-3)^2 - 2(y_2) (-3)\\\\25 = (y_2)^2 + 9 - 6y_2\\\\16 = (y_2)^2 -6y_2\\\\(y_2)^2 -6y_2 - 16 = 0\\\\(y_2)^2 - 8y_2 + 2y_2 - 16 = 0\\\\y_2 (y_2 - 8) + 2(y_2 - 8) = 0\\\\y_2 = 8[/tex]
hence, y_2 is 8 units
(−t 3 +5t 2 −6t)+(8t 2 −8t)
Find the quotient of -32/15 divided by -4/5
Answer:
Step-by-step explanation:
-32/15/-4/5
-32/15*5/-4
-32*5/15*-4
-160/-60
8/3
Solve for x using the Quadratic Formula: x^2 + 2x+1=0
X=-b plus or minus b2-4ac squared all over 2a
Answer:
c is the answer
Step-by-step explanation:
The actual width of a garage door is 3 m. In a scale diagram, the width of the garage door is
20 cm. What scale factor was used? Give your answer as a percent to one decimal place
Answer: the answer is 357,716.5 your welcome
Step-by-step explanation:
Choose the correct correspondence.
B
U
8.
1
2
3
4
5
C
R
S
45
27
0 28
O 26
Answer: [tex]\angle 6[/tex]
Step-by-step explanation:
Assuming TURS is a rectangle, [tex]\angle 5 \cong \angle 6[/tex] by the alternate interior angles theorem.