Answer:
the ratio of the following x is 3/4
f(x)=3x2-15. find x if f(x)=-3
Step-by-step explanation:
Given
f(x) = - 3
Now
f(x) = 3x² - 15
-3 = 3x² - 15
3x² = 15 - 3
3x² = 12
x² = 12/ 3
x² = 4
x = + 2
Therefore x = + 2.
Zan has created this rule for generating sequences of whole numbers. If a number is 25 or less, double the number. If a number is more than 25, subtract 12 from it. For example, if Zan starts with 10, she gets the sequence 10, 20, 40, 28, 16,... If the third number in Zan's sequence is 36, what is the sum of the four distinct numbers that could have been the first number in her sequence
Answer:
123
Step-by-step explanation:
Given that:
Method to generate the sequence:
If a number is less than or equal to 25, then the number is doubled.
And if the number is more than 25, then 12 is subtracted from it.
Here, we are given a sequence with its third number is 36.
Now, let us have a look by making the number 36 as half of its value.
[tex]\frac{36}{2}[/tex] = 18
This could have been the second number in the.
According to this, the first number will be [tex]\frac{18}{2} = \bold{9}[/tex]
Other option for the first term can be 18 + 12 = 30
By second method, the second method can be:
36 + 12 = 48
By this method, First number 48 + 12 = 60
Other option for first number can be [tex]\frac{48}{2 } = \bold{24}[/tex]
Therefore, sum of four options of first term:
9 + 30 + 60 + 24 = 123
whats the answer? if you know it
Answer:
Step-by-step explanation:
360
the width of a rectangle is 15inches more than the length the perimeter is 90inches find the
Answer:
Step-by-step explanation:
we have W=L+15 and P=90 lets replace W with this equation
P=2L+2W=2L+2(L+15)=2L+2L+30=4L+30
90=4L+30
60=4L
where L=60/4=15
we have W=30, L=15
Solve for L.........
Answer:
L = P/2 - W
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
P = 2L + 2W
Step 2: Solve for L
Subtract 2W on both sides: P - 2W = 2LDivide 2 on both sides: (P - 2W)/2 = LDistribute division: P/2 - W = LRewrite: L = P/2 - WSolve the following equation for f. Be sure to take into account
whether a letter is capitalized or not.
9 = Gf
Answer:
f is equal to 3 which means g is also equal to 3
Step-by-step explanation:
What is the image of (-7, -6) after a dilation by a scale factor of 4 centered at the
origin?
Answer: (-28, -24)
Step-by-step explanation:
Since the scale factor is four, it denotes that it’s a positive dilation. The question is asking for 4 times the point. In other words, where would the point be if it was stretched out 4 times.
If you draw a line from the given to the QED, (-7, -6) to (-28, -24), then you’ll realize that the image is 4 time the original point.
K= (-7*4, -6*4)
Any number less than one means the point or shape is being compressed or made smaller.
HELLLPPP I WILL MARK BRAINLIEST
Answer:part, whole
Step-by-step explanation:
Part, whole
Find the 75th term of the following arithmetic sequence.
12, 21, 30, 39,
9514 1404 393
Answer:
678
Step-by-step explanation:
The sequence has a first term of 12 and a common difference of 21-12 = 9. The explicit formula for the n-th term is ...
an = a1 +d(n -1)
For a1 = 12 and d = 9, this is ...
an = 12 + 9(n -1)
Using 75 for the value of n, we have ...
a75 = 12 + 9(75 -1) = 12 + 666 = 678
The 75th term is 678.
(17 Points) Kenzie makes quilts with some blue squares and some green squares. The ratio of blue squares to green squares is shown in the diagram.
Answer:
Quilt A: 35 green squares.
Quilt B: 12 blue squares.
Step-by-step explanation:
Based on the diagram, there are 3 blue squares for every 5 green squares. Then the ratio can be expressed as:
Therefore, knowing the ratio, you can calculate:
- The number of green squares (G) in quilt A, as following:
- The number of blue squares (B) in quilt B, as following:
The graph of 2x-7y=7 is shown which point is a solution of the equation
Answer: (-1,0)
Step-by-step explanation:
On a coordinate grid, point A is at (−3.0, −5.4) and point B is at (−3.0, 5.4). Point B is a reflection of point A across the
–axis. Input either a lowercase x or y. (1 point)
2
Answer:
y.
Point B is reflected at from point A at y-axis.
I need help with this one please
Answer:
1. d) = g)
(3x - 2)(9x² + 6x + 4) = 27x³ - 8
2. e) = f)
(3x + 5) (3x - 4) = 9x² + 3x - 20
3. b) = h)
9x² - 24xy + 16y² = (3x - 4y)²
Step-by-step explanation:
From the above question, we are to find the pairs through expansion or factorisation
a) (3x + 2)(9x² - 6x + 4)
b) 9x² - 24xy + 16y²
c) (4x - 3y)²
d) (3x - 2)(9x² + 6x + 4)
e) (3x + 5) (3x - 4)
f) 9x² + 3x - 20
g) 27x³ - 8
h) (3x - 4y)²
a) (3x + 2)(9x² - 6x + 4)
We expand.
3x(9x² - 6x + 4) + 2(9x² - 6x + 4)
27x³ - 18x² + 12x + 18x² - 12x + 8
27x³ - 18x² + 18x² + 12x - 12x + 8
= 27x³ + 8
c) (4x - 3y)²
We expand
(4x - 3y) (4x - 3y)
4x(4x - 3y) - 3y ( 4x - 3y)
16x² - 12xy - 12xy + 9y²
16x² - 24xy + 9y²
d) (3x - 2)(9x² + 6x + 4)
We expand
3x(9x² + 6x + 4) - 2(9x² + 6x + 4)
27x³ + 18x² + 12x - 18x² - 12x - 8
27x³ - 18x² + 18x² + 12x - 12x - 8
= 27x³- 8
e) (3x + 5) (3x - 4)
We expand
3x(3x- 4) +5(3x - 4)
9x² - 12x + 15x - 20
9x² +3x - 20
h) (3x - 4y)²
We expand
(3x - 4y) ( 3x - 4y)
3x(3x - 4y) -4y(3x - 4y)
9x² - 12xy - 12xy - 16y²
9x² - 24xy - 16y²
Hence:
1. d) = g)
(3x - 2)(9x² + 6x + 4) = 27x³ - 8
2. e) = f)
(3x + 5) (3x - 4) = 9x² + 3x - 20
3) b) = h)
9x² - 24xy + 16y² = (3x - 4y)²
Given a point A(-3,-1), it is dilated by some scale
factor to A' (-9,-3). If the same dilation is applied
to B(-1,-5), what are the coordinates of B'?
Answer:
[tex]B' = (-3, -15)[/tex]
Step-by-step explanation:
Given
[tex]A = (-3,-1)[/tex]
[tex]A' = (-9,-3)[/tex]
[tex]B = (-1,-5)[/tex]
Required
Determine the coordinates of B'
Since A' is the image of A; we need to first calculate the scale factor using
[tex]A' = A * Scale\ factor[/tex]
Make Scale Factor the subject
[tex]Scale\ Factor = \frac{A'}{A}[/tex]
Substitute values for A' and A
[tex]Scale\ Factor = \frac{(-9,-3)}{(-3, -1)}[/tex]
Factorize the numerator
[tex]Scale\ Factor = \frac{3 * (-3,-1)}{(-3, -1)}[/tex]
[tex]Scale\ Factor = \frac{3 * 1}{1}[/tex]
[tex]Scale\ Factor = 3[/tex]
The coordinates of B' is then calculated as follows:
[tex]B' = B * Scale\ Factor[/tex]
Substitute values for B and Scale Factor
[tex]B' = (-1,-5) * 3[/tex]
[tex]B' = (-3, -15)[/tex]
Evaluate 10 - (x + 3) when 2 = 2.
Answer:
5
Step-by-step explanation:
Im asuming you meant " x = 2 ".
According to PEMDAS, parenthese come first so...
10 - ( 2 + 3 )
= 10 - 5
= 5
Answer:
its 50
Step-by-step explanation:
10 times (x+3) x=2
2 plus 3 is 5
10 time 5
=50
According to the graph, what is the value of the constant in the equation
below? I NEED HELP ASAP!
Step-by-step explanation:
2 * 6 = 6 * 2 = 10 * 1.2 = 12 * 1 = 12.
The constant value is 12 (C).
What is the difference of 620 and 89.7?
Answer: 530.3
Step-by-step explanation:
Difference means to subtract
620-89.7=530.3
Answer:
530.3
Step-by-step explanation:
You want to subtract 620-89.7. If you want to use the standard algorithm you have 620.0-89.7. You "borrow" from the 2 in the tens place, then "borrow" from the ones place. To subtract 10-3 tenths. Then you subtract the ones place which is 9-9=0 ones. Now you subtract 62-8=53 tens. So you have 530.3 as the difference.
Plz help meee!!!!!!!!!!!!!!11
Answer: 15) 1 16) 30
Step-by-step explanation:
15 ) Since 15 you are shown that the larger has 30 & 5 so, if it has shrunk until now that 30 has turned into 6 that means it has shrunk by 5 times the original bigger triangle has (30 divided by 6 = 5). 5 can go into 5 1 time so you get 1
16) We have an isosceles triangle so all the sides will be equal. So If one side is 30 then the rest will be 30. This is also shown with the smaller triangle, with both sides equaling 6.
A simple random sample of size n = 20 is obtained from a population with population mean 64 and population standard deviation 17.
(a) What must be true regarding the distribution of the population in order to use the
normal model to compute probabilities involving the sample mean? Assuming that
the condition is true, describe the sampling distribution of sample mean.
(b) Find P(x < 67.3).
(c) Find P(x > 65.2).
Answer:
Kindly check explanation
0.57691
0.4719
Step-by-step explanation
A.) The distribution of sample means must follow a normal distribution ;
Mean = 64 ; Standard deviation = 17 ;
Standard Error = s/sqrt(n) = 17 / sqrt(20) = 3.8013155
N(64 ~ 17)
Given that:
mean (m) = 64
Sample size (n) = 20
Standard deviation (s) = 17
Find
P(x < 67.3)
Z = (x - m) / s
Zscore = (67.3 - 64) / 17
Zscore = 0.1941176
P(Z < 0.194) = 0.57691 (Z probability calculator)
(c) Find P(x > 65.2).
Zscore = (65.2 - 64) / 17
Zscore = 0.0705882
P(Z > 0.0705) = 0.4719 (Z probability calculator)
N x 3/8 = 1 What is N?
Answer:
[tex]N=\frac{8}{3}[/tex]
Step-by-step explanation:
The image below shows step-by-step on how to solve it.
Hope this helps! :)
I need help on this question for middle school.
Answer:
2y+12
Step-by-step explanation:
4(7/8y-4-3/8y+7)
first, in the parentheses (because of PEMDAS), combine like terms
4(7/8y-3/8y+-4+7)
4(4/8y+3)
Simplify 4/8y
4(1/2y+3)
now apply distributive property and multiply each number by 4
2y+12
Hope this helps!
Answer:
(2y + 12)
Step-by-step explanation:
4(7/8y-4-3/8y+7)
first, in the parentheses, combine like terms.
then apply distributive property and multiply each number by 4.
Sorry my answer wasn't complete last time:) Hope this is better:)
Find the perimeter of the image below.
30.18 units
33 units
28.38 units
34.18 units
Answer:
125.74 units
Step-by-step explanation:
30.18 units
33.00 units
28.38 units
34.18 units
125.74
Round the 173.235 to the nearest hundredth.
Answer:
173.200
Step-by-step explanation:
The function f(x)= 3x + 25 models the yearly membership cost for a movie rental club, where x is the number of more • Last year, Sarah rented 41 movies. Last year, Tim rented twice the amount of movies as Sarah. How much more did Tim pay last year than Sarah?
Answer:
Tim paid $123 more last year than Sarah.
Step-by-step explanation:
First, plug in 41 for the equation to get the cost Sarah has paid last year in which you should get $148 as the first part of your answer. Since Tim rented twice the amount of movies Sarah has rented, you should multiply that number to get 82. Then, plug in 82 for the equation to get the cost Tim paid last year in which you should get $271 as your second part of the answer. Then subtract 148 from 271 to get a difference of $123 in which Tim paid more of than Sarah.
Which of the following equations is equivalent to
3x + 2 = 14?
A. 4x=14
B. 3x=12
C. 3x=16
D. -1x = 12
Answer:
C
is your answer. Glad I could help!
Step-by-step explanation:
3 + 2 = 5 + 14 = 19
A. 18
B. 15
C. 19
D. 11
Find f(2) If f(x) = (x + 1)2.
Answer:
f(2)=9
Step-by-step explanation:
A house is 1, 928 centimeters long. Convert this measure to M.
Answer: 19.28 Meters
Step-by-step explanation:
We will find our units of conversion for this problem.
100 centimeters is equal to 10 meters.
So, we will divide 1,928 by 100 and we will see what we get.
1,928 ÷ 100 = 19.28
Our answer to the question is 19.28!
Carry on Learning!
Hello can someone please help me with this.
Answer:
if there is equivalent ratio cookies should be 48
PLEASE HELP ITS DUE IN 10 MINUTES
write a linear function f with the values f(1)=4 and f0=3
Answer:
Write a linear function f with the values f(2)=−2 and f(1)=1.
So, this is just a different way to say two different coordinates (x, y) and (x1, y1). f(x)=y and f(x1) = y1
We have: (2,-2) and (1,1) and we want to know the equation of the line that goes through those two points.
Find the : M = (y-y1)/(x - x1) = (-2 - 1) / (2 - 1) = -3/1 = 3; M = 3
Find the Y intercept by in one of the points for x and y and solving for B
Y = 3(X) + B
I'll choose the (1,1) to plug in: 1 = 3(1) + B; so B = -2
Put them together in intercept form: Y = 3(X) -2
Step-by-step explanation:
Does this help you understand the steps to take to solve this type of problem? please mark me as brainlest answer hope this helps
What is the percent of the figure that is shaded. Drag the correct answer to the box labeled "Correct percentage." 65% 60° .65% 650%
Answer:
60
Step-by-step explanation: