12. If one line passes through the points
(-3,8) & (1,9), and a perpendicular line passes
through the point (-2,4), what is another point
that would lie on the 2nd line. Select all that apply.
A. (-1,0)
B. (2,5)
C. (5,2)
D. (-6,3)
E. (8,-3)
F. (-3,8)
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Answer:
A, F
Step-by-step explanation:
Points A(-1, 0) and F(-3, 8) lie on the 2nd line. (Its equation is 4x+y=-4.)
Match each equation on the left with the number and type of its solutions on the right.
Answer:
Step-by-step explanation:
1). Given equation is,
2x² - 3x = 6
2x² - 3x - 6 = 0
To find the solutions of the equation we will use quadratic formula,
x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Substitute the values of a, b and c in the formula,
a = 2, b = -3 and c = -6
x = [tex]\frac{3\pm\sqrt{(-3)^2-4(2)(-6)}}{2(2)}[/tex]
x = [tex]\frac{3\pm\sqrt{9+48}}{4}[/tex]
x = [tex]\frac{3\pm\sqrt{57}}{4}[/tex]
x = [tex]\frac{3+\sqrt{57}}{4},\frac{3-\sqrt{57}}{4}[/tex]
Therefore, there are two real solutions.
2). Given equation is,
x² + 1 = 2x
x² - 2x + 1 = 0
(x - 1)² = 0
x = 1
Therefore, there is one real solution of the equation.
3). 2x² + 3x + 2 = 0
By applying quadratic formula,
x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
x = [tex]\frac{-3\pm\sqrt{3^2-4(2)(2)}}{2(2)}[/tex]
x = [tex]\frac{-3\pm\sqrt{9-16}}{4}[/tex]
x = [tex]\frac{-3\pm i\sqrt{7}}{4}[/tex]
x = [tex]\frac{-3+ i\sqrt{7}}{4},\frac{-3- i\sqrt{7}}{4}[/tex]
Therefore, there are two complex (non real) solutions.
PLEASE! TEST QUESTION
Jenelle invested $17000 in two mutual funds. Fund A earned 4% profit during the first year, while Fund B suffered a 1.5% loss. If she received a total of $460 profit, how much had she invested in each mutual fund?
Jenelle invested $_____ into Fund A.
Jenelle invested $_____ into Fund B.
Answer:
Jenelle invested $ 13,000 in Fund A and $ 4,000 in Fund B.
Step-by-step explanation:
Given that Jenelle invested $ 17000 in two mutual funds, and Fund A earned 4% profit during the first year, while Fund B suffered a 1.5% loss, if she received a total of $ 460 profit, to determine how much had she invested in each mutual fund, the following calculation must be performed:
17000 x 0.04 - 0 x 0.015 = 680
15000 x 0.04 - 2000 x 0.015 = 570
10,000 x 0.04 - 7000 x 0.015 = 295
12500 x 0.04 - 4500 x 0.015 = 432.5
13000 x 0.04 - 4000 x 0.015 = 460
Therefore, Jenelle invested $ 13,000 in Fund A and $ 4,000 in Fund B.
25x to the 2nd power minus 49
Answer:
(5x+7) (5x-7)
Step-by-step explanation:
you can look up the answer on symbolab if needed
Find the value of y.
960
1660
y = [? ]°
Answer:
y = 48°
Step-by-step explanation:
The value of an inscribed angle is half the value of the arc it subtends.
The angle marked x subtends the arc marked 66°, so has a value of ...
x = 66°/2
x = 33°
The value of y is similarly found.
y = 96°/2
y = 48°
The angle marked with a dot is an external angle of the triangle, so is the sum of the remote internal angles, x and y:
dot angle = x + y = 33° +48° = 81°
Of course, angle z is the supplement of this:
z = 180° -81°
z = 99°
Anybody know the answer to this it would be very helpful
Answer:
The cost for 4 snacks is 18 dollars.
Cost for x snacks: 4.5x
Step-by-step explanation:
4 x 4.5 = 18
Answers:
Cost for 4 snacks = 70 dollarsCost for x snacks = 4.50x+52 dollarsThe algebraic expression shown above is the same as writing 52+4.50x
You may not need to type in "dollars" or a dollar sign, as your teacher may just want the numbers and algebraic symbols.
=====================================================
Explanation:
There are four people going to the movies, and each ticket costs $13 a piece, so that means the total so far is 4*13 = 52 dollars.
If we want to include snacks, then it costs $4.50 per snack. Buying 4 packages will cost an additional 4.50*4 = 18 dollars. In total, if Kiran wants to buy four snacks, then he'll need 52+18 = 70 dollars.
---------------------
Instead of computing 4.50*4 to get 18, we can leave the "4.50*4" like it is. Adding it onto the 52 found earlier leads to the expression 52+4.50*4
Now imagine that instead of "4", we just had a generic placeholder x take over. The x is standing in for any positive real number, or it could stand in for 0 if Kiran decides to not buy any snacks at all.
If we replace that "4" with x, then the expression
52+4.50*4
is the same as
52+4.50*x
Often times, you'll see the multiplication symbol omitted and the expression could look like 52+4.50x
Because we can add two numbers in any order, that expression above is the same as 4.50x+52
-------------------
Extra info (optional section):
The useful thing about something like 4.50x+52 is that we can graph y = 4.50x+52 and/or set up a table to be able to quickly determine how much money it will cost for buying any amount of snacks.
For example, let's say he wants to buy 10 snacks. That means we replace x with 10 and evaluate like so
4.50x+52 = 4.50*10+52 = 45+52 = 97
Buying 10 snacks, on top of the 4 movie tickets, cost $97 in total.
Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32
12 and 18
32 and 64
40 and 60
14 and 41
Answer:
i think the answer is 12 and 18
HELP ME I CAN GIVE BRAINLIEST
Answer:
For Q. 17 I believe it's "the function has a minimum at -1" take this answer with a grain of salt but the other three seem to be true and I don't know how to solve this one so I'm assuming it's the false one.
PLEASE HELP MEEEEEEEE I HAVE 15 MINUTES LEFT
Determine whether the function are inverse. F(x)=6x+l;g(x)=6x-1
You come across a box of perfume what should you do Amazon
sum of two numbers is 5 while the difference of the two numbers is 6 find the two numbers
Answer:
Suppose the one number be x
And the other number be 6x
The sum of two numbers is 5
x+6x=5
7x=5
X=5/7
Therefore
One number be 5/7
And other number be 6 * 5/7=30/7
If you are helped with my answer pls tag me brianliest I really want it
THANK YOU...............
MATH MATH MATH MATHHHHHHHHHHHHHH
Answer:
1. Obtuse angle
2. 5
3. 117
Step-by-step explanation:
1. Any angle that is wider than 90 degrees is obtuse.
2. 180 = straight angle so, 180-140=40 8x5=40 so x=5
3. Supplementary angles are one angle that is 180 so, 180-63= 117
The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class.
What is the standard deviation of the distribution?
A) 1.16
B) 1.08
C) 1.41
D) 2.98
The standard deviation of the distribution is 1.08.
Option B is the correct answer.
What is a standard deviation?The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
We have,
To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.
The expected value of X is:
E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)
= 1.6 + 0.96 + 0.34 + 0.08 + 0
= 2.98
Next, we need to calculate the variance of X:
Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)
+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)
= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)
= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212
= 1.082
The standard deviation of X is the square root of the variance:
So,
SD(X) = √(Var(X))
= √(1.082)
= 1.04 (approximately)
Thus,
The standard deviation of the distribution is 1.08.
Learn more about standard deviation here:
brainly.com/question/23907081
#SPJ7
Probability distribution
Answer:
a) The value of q is 0.2.
b) E(X) = 1.85.
Step-by-step explanation:
Question a:
The sum of all the probabilities must be 1. So
[tex]0.3 + x + 0.1 + 0.15 + 0.25 = 1[/tex]
[tex]x + 0.8 = 1[/tex]
[tex]x = 0.2[/tex]
The value of q is 0.2.
Question b:
Multiplication of each value of x by its probability. So
[tex]E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85[/tex]
So the answer is E(X) = 1.85.
X= 6 2/3 , 9, 12
Only serious answers plzzzzz
Answer:
x = 9
Step-by-step explanation:
4(5 + 4) = 3(x + 3) => Intersecting secants theorem
4(9) = 3(x + 3)
Open bracket by applying distributive property
36 = 3x + 9
Subtract 9 from each side
36 - 9 = 3x + 9 - 9
27 = 3x
Divide both sides by 3
27/3 = 3x/3
9 = x
x = 9
Please help I would be really happy:)
Determine the radius of a cone that has a volume of 230 ft' and a height of 15 ft.
Round the answer to the nearest tenth.
Answer:
the formula for finding cone volume is V=πr²× 1/3
Step-by-step explanation:
230=3.14×x²×1/3
we have to solve for X that is our radius
14.8
The table of values represents a function f(x).
How much greater is the average rate of change over the interval [7, 9] than the interval [4, 6]?
Enter your answer in the box.
Answer:
It is 603 units greater
Step-by-step explanation:
Given
See attachment for table
Average rate of change over (a,b) is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]
For interval [7,9], we have:
[tex][a,b] = [7,9][/tex]
So, we have:
[tex]Rate = \frac{f(9) - f(7)}{9-7}[/tex]
[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]
From the table:
[tex]f(9) = 3878[/tex]
[tex]f(7) = 1852[/tex]
So:
[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]
[tex]Rate = \frac{3878 - 1852}{2}[/tex]
[tex]Rate = \frac{2026}{2}[/tex]
[tex]Rate = 1013\\[/tex]
For interval [4,6], we have:
[tex][a,b] = [4,6][/tex]
So, we have:
[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]
[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]
From the table:
[tex]f(6) = 1178[/tex]
[tex]f(4) = 358[/tex]
So:
[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]
[tex]Rate = \frac{1178 - 358}{2}[/tex]
[tex]Rate = \frac{820}{2}[/tex]
[tex]Rate = 410[/tex]
Calculate the difference (d) to get how much greater their rate of change is:
[tex]d = 1013 - 410[/tex]
[tex]d = 603[/tex]
Answer:
603
Step-by-step explanation:
i took it
Which expression shows 6a + 8b + 10 written as the product of the GCF times a sum?
Answer::112
Step-by-step explanation:
Which of the following is TRUE?
A. 8<-7
B -1 > 1
C. 6> 3
D. 4 <-2
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Answer:
C. 6 > 3
Step-by-step explanation:
It is true that 6 is greater than 3.
__
All negative numbers are less than any positive numbers.
We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.
A certain test preparation course is designed to help students improve their scores on the GRE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 5 students' scores on the exam after completing the course: 6,14,12,23,0 Using these data, construct a 95% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 2 of 4 : Calculate the sample standard deviation for the given sample data. Round your answer to one decimal place.
Answer:
(0.25 ; 21.75)
8.7 (1 decimal place)
Step-by-step explanation:
Net change in scores : X = 6,14,12,23,0
Sample mean, xbar = (6 + 14 + 12 + 23 + 0) /5 = 55 /5 = 11
Sample standard deviation, s = 8.66 ( from calculator)
Sample standard deviation = 8.7( 1 decimal place)
Sample size, n = 5
The 95% confidence interval; we use t, because n is small
Tcritical at 95%, df = 4 - 1 = 3 ; Tcritical = 2.776
Xbar ± standard Error
Standard Error = Tcritical * s/√n
Standard Error = 2.776 * 8.66/√5
Standard Error = 10.751086 = 10.75
Lower boundary = (11 - 10.75) = 0.25
Upper boundary = (11 + 10.75) = 21.75
(0.25 ; 21.75)
The
the parent cosine function is transformed to create the function m(x) =-2cos(x+π). which graphed function has the same amplitude as function m
Answer: Graph D
Step-by-step explanation: Got it right on plato
The graph of a function with the same amplitude as m(x) is graph D.
Which graphed function has the same amplitude as m(x)?
The general cosine function is written as:
f(x) = A*cos(kx) + M
Where A is the amplitude, k is the angular frequency, and M is the midline.
In our case:
m(x) = -2*cos(x+π).
The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:
2*|-2| = 4
With this in mind, the only graph that meets this requirement is the graph D.
If you want to learn more about cosine functions, you can read:
https://brainly.com/question/7872492
What is the measure of angle AXG
Answer:
180°
Step-by-step explanation:
it's half of a circle
The angle AXG is a straight line. The measure of a straight line would be 180
The measure is 180
Solve for all values of x by factoring.'
x2 + 10x + 21 = 0
Answer:
Step-by-step explanation:
2x+10x=12x
12x=-21
x=-1.75
Answer:
x=-7,-3
Step-by-step explanation:
x2+10x+21
(x+7)(x+3)
x=-7,-3
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answer:
translation
Step-by-step explanation:
Answer:
I think it's dilation or none
Step-by-step explanation:
can someone help me pls
Answer:
[tex]x = 55°[/tex]
Step-by-step explanation:
L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.
[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]
Given that f(x)=x^3, which equation describes the graph of function g?
a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3
Answer:
A or g(x) = f(x − 3) + 3
Step-by-step explanation:
(Algebra 2) help me please:( no links I will report please help me out )!!!
Answer:
The answer should be $57000(1.025)²⁰ = $93,401
Step-by-step explanation:
To compute the necessary sample size for an interval estimate of a population proportion, all of the following procedures are recommended when p is unknown except :____________
a. use the sample proportion from a previous study.
b. use the sample proportion from a preliminary sample.
c. use 1.0 as an estimate.
d. use judgment or a best guess.
Answer:
c- use 1.0 as an estimate
Step-by-step explanation: