The given points defines a line from which the linear function can be
determined and the included point on the line can be found.
The point also included on the line is D. [tex]\underline {(9, \, -3)}[/tex]
Reasons:
The given points on the linear function are; (-3, -7), (6, -4)
The slope of the line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, we get;
[tex]Slope, \, m =\dfrac{-4-(-7)}{6-(-3)} = \dfrac{1}{3}[/tex]
The equation of the function is therefore;
[tex]y - (-4) = \dfrac{1}{3} \cdot (x - 6)[/tex]
[tex]y = \dfrac{x}{3} - 6[/tex]
Graphing the above equation on the calculator gives the points;
(-9, -9), (3, -5), (12, -2), and (9, -3)
Therefore;
The point also included on the line is D. [tex]\underline {(9, \, -3)}[/tex]
Learn more here:
https://brainly.com/question/2116490
2x+5 divided by 8x3+22x²+ 15x+25
if any doubt leave a comment
Need answer ASAP
The baseball team has 3 players that are sick. If this is 25% of the team, how many players does the team have?
Answer:
12
Step-by-step explanation:
25 is 1/4 of 100, so you do 3 x 4 and you would get 12! Hope this helps!
Answer:
12 players
Step-by-step explanation:
Multiply the 3 players that are sick by 4, as 25*4 is 100.
What is the slope of this line? y=−1/3x+1/4 −1/3 1/4 1/3 I don't know.
Answer:
Step-by-step explanation:
A fishing pond loses an average
2/3 inches of water each week.
Find the total change in the water
level of the pond after 5 weeks.
Answer as an improper fraction = 10/3 inches
Answer as a mixed number = 3 & 1/3 inches
=============================================================
Explanation:
Multiply the two given values to get (2/3)*5 = (2/3)*(5/1) = 10/3
Optionally, you can convert that to a mixed number
10/3 = (9+1)/3 = (9/3) + (1/3) = 9 + (1/3) = 3 & 1/3
PLEASE HELP WILL MARK BRAINIEST
Let a represent "We go to school on Memorial Day", Let b represent "Memorial Day is a holiday" and let c represent "We work on Memorial Day"
Match the sentence to its symbolic form, Sentences below and symbolic forms below sentences
We work on Memorial Day if and only if we go to school on
Memorial Day.
We work on Memorial Day or Memorial Day is a holiday.
If we do not go to school on Memorial Day, then we work on
Memorial Day
Memorial Day is a holiday and we do not go to school on
Memorial Day.
If we go to school on Memorial Day, then we work on Memorial Day.
c V b, a V b, b V c, b^~a, b^a, ~b^~a, a➡️c, a➡️b, ~a➡️~c, ~a➡️c, a➡️~c, ~c➡️a, c⬅️➡️b, b⬅️➡️a are the Symbolic forms
Answer:
Step-by-step explanation:
1. Match the letters a, b, and c with their statement.
a = "We go to school on Memorial Day"
b = "Memorial Day is a holiday"
c = "We work on Memorial Day"
2. Underline the key words ( that have symbols)
We work on Memorial Day if and only if we go to school on Memorial Day.
We work on Memorial Day or Memorial Day is a holiday.
If we do not go to school on Memorial Day, then we work on Memorial Day.
Memorial Day is a holiday and we do not go to school on Memorial Day.
If we go to school on Memorial Day, then we work on Memorial Day.
3. Use the symbols and the letters.
We work on Memorial Day if and only if we go to school on Memorial Day.
c ⇔ a
We work on Memorial Day or Memorial Day is a holiday.
c V b
If we do not go to school on Memorial Day, then we work on Memorial Day.
~a ⇒ c
Memorial Day is a holiday and we do not go to school on Memorial Day.
b ∧ ~a
If we go to school on Memorial Day, then we work on Memorial Day.
a ⇒ c
if the rate of compound interest for the first second third year is 8% 10% and 15% respectively find the total value of a $12,000 investment in 3 years
Find the slope of the line graphed below.
Answer:
Slope: -1
Step-by-step explanation:
As the x values progress by one, the y values decrease by 1
slope = rise/run
rise = -1, run = 1
-1/1 = -1
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. Assume that the population standard deviation is 1.5 gallons. The mean water usage per family was found to be 17.5 gallons per day for a sample of 543 families. Construct the 98% confidence interval for the mean usage of water. Round your answers to one decimal place.
Answer:
The monthly amount of water used per household in a small community is normally distributed with mean 7,069 gallons and standard deviation 58 gallons. Find the three quartiles for the amount of water used.
.
What is the median of: 3.7, 5, 9.2, 4, 6.1, 5, 2.6, 4, 5.2, 4?
Answer:
Median - 4.5 , i think
Step-by-step explanation:
Which of the following scenarios has a speed of 55 miles per hour.
Select all that apply.
Traveling 82.5 miles in 1.5 hours.
Traveling 280 miles in 4 hours.
Traveling 110 miles in 2 hours:
Traveling 165 miles in 3 hours.
Answer:
165 miles in 3 hours
Step-by-step explanation:
1 hour = 55 milles
3hours=?
(3*55)/1
= 165 miles
Hence, correct.
What causes the phases of the moon? (Select two.)
The Moon changes shape as it moves around Earth.
The Moon's position relative to Earth results in phases.
Earth casts a shadow on the Moon.
The Moon is illuminated on one side by the Sun.
The amount of Moon we see changes over the month — lunar phases — because the Moon orbits Earth and Earth orbits the Sun. Everything is moving. During a lunar eclipse, Earth comes between the Sun and the Moon, blocking the sunlight falling on the Moon.
Answer:
Both 'The Moon is illuminated on one side by the Sun' and 'The Moon's position relative to Earth results in phases.'
Step-by-step explanation:
The Moon has phases because of its position relative to Earth, and also because it is only illuminated on one side by the Sun. As it rotates, some parts of the moon reflects the Sun's light, so it looks as if it's changing shape. The other parts that are blacked out is because it is not reflecting the Sun's light, not because of the Earth.
A parabola can be drawn given a focus of (−5,3) and a directrix of
y=1. Write the equation of the parabola in any form.
Answer:
Step-by-step explanation:
y = 1 is a horizontal line
Vertex is halfway between the directrix and focus on a vertical line through x = (-5, 3).
(1 + 3)/2 = (-5, 2)
The shortest distance from the directrix to the focus is 3 - 1 = 2 units
so points (-5 - 2, 3) = (-7, 3) and (-5 + 2, 3) = (-3, 3) are on the parabola.
The vertex form of a parabola is
y = a(x - h)² + k
y = a(x - (-5))² + 2
y = a(x + 5)² + 2
plugging in one of the other known points
3 = a(-7 + 5)² + 2 or 3 = a(-3 + 5)² + 2
1 = a(-2)² 1 = a(2)²
a = 1/4 a = 1/4
y = ¼(x + 5)² + 2
to find the standard form, expand the vertex form
y = ¼(x² + 10x + 25) + 2
y = 0.25x² + 2.5x + 6.25 + 2
y = 0.25x² + 2.5x + 8.25
or
4y = x² + 10x + 33
PLS WILL MARK BRAINLIEST DUE TODAY!!!!! Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is StartFraction 2 Over 9 EndFraction of an inch thick, which expression can be used to determine the number of books that will fit into the box?
18 StartFraction 2 Over 9 EndFraction
18 times StartFraction 2 Over 9 EndFraction
StartFraction 2 Over 9 EndFraction divided by 18
StartFraction 9 Over 2 EndFraction divided by 18
Answer:
18 divided by 2/9, or 18/(2/9) (Is this what the first option was meant to say?)
Step-by-step explanation:
18 inches is the amount of space that needs to be filled, or divided up into sections to see how many things can fit.
2/9 is the width of the thing that you need to see how many fit, meaning it's the thing you're dividing by.
Combined, this means your expression is 18 divided by 2/9, or 18/(2/9). I think this is what your first option was meant to say, because if it is what it says, then the first and second option would be the exact same wrong thing.
You DON'T multiply, because if you think about easy numbers, an inch thick book should have 18 fit, and a half-inch thick book should have double that fit. As you get a smaller book, the number that fit increase, which can't happen with multiplication.
You also don't start with 2/9 because that's the width of the book. You're not trying to see how many boxes can fit into each book; that'd be ridiculous.
Answer:
It's A.
Step-by-step explanation:
What is 1/2 divided by 5/6
Answer:
3/5
Step-by-step explanation:
1/2 ÷ 5/6 = 1/2 × 6/5 = 6/10 = 3/5
easy problem.......................................
Answer:
-3/7
Step-by-step explanation:
Ty for points
Mr Miller is having a party. he needs to rent some tables for his guest. he will rent 1 table for every 8 guests. Each table costs $4.50 to rent. If Mr.Miller will have 72 guests at his party, how much will it cost to rent the tables for his party?
A. $13.50
B.$16.00
C.$36.00
D.$40.50
Answer:
D.) $40.50
Step-by-step explanation:
If he is having 72 guests over, then he'll need nine tables.
(72 guests divided by eight guests, [each table] equals the need for nine tables)
If each table is $4.50 and he needs nine tables then we shall multiply nine by 4.50
9 x 4.50 = 40.50
$40.50
Hope this helped! Please mark brainliest!
Ethan measured a line to be 14 inches long. If the actual length of the line is 14.5
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
Answer: Estimate the length of each line segment in inches. Then
measure it to the nearest —
1
2
— inch.
2.
Estimate: Actual:
Estimate the length of each line segment. Then
measure it to the nearest —
1
4
— inch.
3.
Estimate: Actual:
4.
Estimate: Actual:
Draw a line segment that has the given length.
5. 4 inches
6. 3—1
4
— inches
7. 4—
1
2
— inches
8. —3
4
— inch
9. Marta wants to make 4 necklaces that are the same
length. She asks her friends to cut the string for the
necklaces 15 paper clips long. Would all the
lengths be the same? Explain your thinking.
Answers will
vary.
Answers will
vary.
Answers will
vary.
3 inches
2—
1
2
— inche
Step-by-step explanation:
Answer:
0.036 or 3.6%
Step-by-step explanation:
First you must set up the equation:
(|14.5 - 14|) / 14
0.5 / 14
0.036 x 100%
3.6%
Another Problem For Help With More Explanation:
Mathew goes to the store and gets 10 bananas, which he expects to be 4.1 pounds, however it turned out the actual weight was 3.9 pounds. What was the percent error of the measurement, to the neartest tenth of a percent?
So first you must take the 2 values you need out, which would be 4.1 pounds (the expected value) and 3.9 pounds (the actual value).
You then must set up the equation which is (|X-Y|)/Y.
X is the actual value, which would be 3.9 pounds and Y is the expected value, which would be 4.1.
You then plugin the numbers so you get (|3.9-4.1|) / 4.1.
Then follow PEMDAS, which would be the parantheses, so it would be |-0.2| / 4.1.
The absolute value of -0.2 is 0.2, since the absolute value makes it positive, no matter if it was already negative or positive.
You are then left with 0.2 / 4.1, which you then do the math for, with it equaling 0.048780.
You then do 0.048780 x 100%, to get the percent, which would be 4.8780%, however you would just need to round to the tenth of a percent, so it would be 4.9%. Hope this extra problem helps you understand the topic more! :}
The perimeter of quadrilateral PQRS is 42 centimeters. The quadrilateral is reflected across
QR
and then translated 6 centimeters to the left and 2 centimeters down. What is the perimeter of the resulting quadrilateral?
Answer:
it’s still 42 centimeters :3
Step-by-step explanation:
this is kind of a trick question. These are transformations that don’t change the shape‘s size such as rotations and translations. Dialations change the shapes size but because in this problem it’s on reflections and translations, you can easily say that the perimeter is still 42 centimeters.
hope this helped :3
:3 byeeeeeeeeeeee
what’s the easiest way to do a division question in your head?
Answer:
Put the number being divided over the dividend as a fraction.
Step-by-step explanation:
Answer:
Here are a few useful simplified division tips: If the dividend and divisor are both even numbers, try dividing them first by 2. For example, if you've got to divide 196/22, divide them by 2 first. When you have 98/11, you'll find it easier to figure out the rest of it with the smaller numbers.
Step-by-step explanation:
More Divide by Number Tricks
Divide by 1 - Anytime you divide by 1, the answer is the same as the dividend.
Divide by 2 - If the last digit in the number is even, then the entire number is divisible by 2.
Divide by 4 - If the last two digits divide by 4, then the entire number is divisible by 4.
The small copier makes 437 copies each day. The large copier makes 4 times as many copies each day.
How many copies does the large copier make each week?
Answer:
1,748x7=12,236
Step-by-step explanation:
i think this is right...
jenifer solved 27 problems which is 3/11 of all the problems in her homework. how many problems are in her hommework
Answer:
Her homework has 99 problems
Step-by-step explanation:
27÷3=9
9=1/11
11×9=99
now, if we take into account that a WHOLE is always one, and we can partition it in many ways, say 295/295 = 1, or 313/313 = 1, so the whole amount of homework is 1 fraction wise, thus
[tex]\begin{array}{ccll}amount&fraction\\\cline{1-2}27&\frac{3}{11}\\x&1\end{array}\implies \cfrac{27}{x}=\cfrac{\frac{3}{11}}{~~1~~}\implies \cfrac{27}{x}=\cfrac{3}{11}\implies 27\cdot 11=x\cdot 3\\\\\\297=3x\implies \cfrac{297}{3}=x\implies \boxed{99=x}[/tex]
Which is equivalent to the expression?
1/2(13-5)+(4+8)^2
A. 148
B. 144
C. 20
D. 16
Multiple choice questions also
If anyone could help me with this one also!
Which is equivalent to the expression
8 x 9+4^2-(63/7)
A. 1143
B. 88
C. 79
D. 65
Thank you to anyone who helps me I greatly appreciate beyond measures! :)
Answer:
Step-by-step explanation:
1/2(13-5)+(4+8)^2
A. 148
B. 144
C. 20
D. 16
We must follow "PEMDAS" order of operations rules. Anything inside parentheses must be done first, followed by exponentiation, multiplication and division, and finally additionl and subtraction.
1/2(13-5)+(4+8)^2 has three sets of parentheses enclosing mathematical expressions: (1/2), (13 - 5) and (4 + 8). These evaluate to:
1/2, 8, 12
and so we now have (1/2)(8) + (12)^2
Exponentiation is next. We get: (1/2)(8) + 144
Next is multiplication: 4 + 144
Last is addition: 148
Answer A is correct: 148
8 x 9+4^2-(63/7)
is evaluated in the same way:
8 x 9+4^2-(9), followed by exponentiation:
8*9 + 16 - 9, followed by multiplication:
72 + 16 - 9 = 79 (Answer C)
Find the degree measure of each angle in the triangle.
Answer:
x = 19
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180 degrees
3x + 7 + 5x + x + 2 = 180 add like terms
9x + 9 = 180 subtract 9 from both sides
9x = 171 divide both sides by 9
x = 19 replace x with 19 in expressions to find the angle measures
4.
Write an equation for each translation of y = |x|.
16.5 units right
A. y = | x | + 16.5
B. y = | x | – 16.5
C. y = | x + 16.5 |
D. y = | x – 16.5 |
Answer:
D. y = | x – 16.5 |
Step-by-step explanation:
If you want to write an equation for an absolute value function this is the parent function y=a|x-h|+k.
In order to write an equation that is 16.5 units right you would do this:
y=|x-16.5|
If you are moving units left the number -16.5 would become 16.5
Remember when you are moving that the number inside is always the opposite sign of where you are moving
Here is the answer:
y=|x-16.5|
Hope This Helps!
...............................................................................................................................................
Just subtract 16.5 to the x , in parenthesis, to the existing equation.
For example,
if u r given y= x +3 --> y=(x-16.5)+3
Halloween Candy Halloween is Kelly's favorite holiday of the year! Based on experience, Kelly knows that on average, each house gives him about 4 candies with a standard deviation of 1.5 candies. Each year Kelly visits 35 random houses in his neighborhood. Let X be the total number of candies Kelly will receive from his visits. Last Halloween, Kelly got 122 candies. Approximate the probability that the total number of candies Kelly will receive this year is smaller than last year.
Using the normal distribution and the central limit theorem, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
Normal Probability Distribution
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for n instances of a normal variable, the mean is [tex]n\mu[/tex] while the standard deviation is [tex]s = \sigma\sqrt{n}[/tex].In this problem:
Mean of 4 candies, hence [tex]\mu = 4[/tex].Standard deviation of 1.5 candies, hence [tex]\sigma = 1.5[/tex].She visited 35 houses, hence [tex]n = 35, \mu = 35(4) = 140, s = 1.5\sqrt{4} = 3[/tex]The probability is the p-value of Z when X = 122, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{122 - 140}{3}[/tex]
[tex]Z = -6[/tex]
[tex]Z = -6[/tex] has a p-value of 0.
Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
A similar problem is given at https://brainly.com/question/24663213
Three siblings are each 3 years apart. If the total number of years between them is 90 years, how old is the oldest sibling
Answer:
33 years old
Step-by-step explanation:
x = youngest sibling
y = oldest sibling
x + (x + 3) + (x + 3 + 3) = 90
3x + 9 = 90
3x = 81
x = 27
y = 27 + 3 + 3 = 33
find the area of the triangle formed by x intercepts and y intercepts of the parabola y=4x^2-8x-5
PLEASE HELP ASAP
SHOW ALL WORK USING VERTEX FORM!!!!!
Answer:
7.5 unit²Step-by-step explanation:
Refer to attached
Find the y-intercept:
x = 0 ⇒ y = 4*0 - 8*0 - 5 = - 5Find the x-intercepts:
y = 0 ⇒ 4x² - 8x - 5 = 04x² - 8x + 4 - 9 = 04(x - 1)² = 9(x - 1)² = 9/4x - 1 = 3/2 ⇒ x = 2.5x - 1 = - 3/2 ⇒ x = - 0.5We have vertices of the triangle at:
(- 0.5, 0), (2.5, 0) and (0, -5)Base of the triangle is:
2.5 - (-0.5) = 3Height of triangle:
0 - (-5) = 5The area is:
A = 1/2bhA = 1/2*3*5 = 7.5Answer:
7.5 unite square
Step-by-step explanation:
someone already explained so i will just tell you the steps. I deeply apologize for the inconvieence, grammer mistakes, and lack of showing work.
step 1.
find the x- and y intercepts
step 2.
find the vertexes
step 3.
pug the points onto the cordiante plane
s
#7 i
A bag contains 10 red marbles. The ratio of red marbles to blue marbles is 5 to 1. Find the number of blue marbles in the
bag.
blue marbles
There are 2 blue marbles.
Hope that helped:)
Simplify fully 24(x−2)^2 + 6 (x−2) PLEASE HELP ME!!!!!
it is 24x² - 90x + 84
Step-by-step explanation:
it cuz I'm smart lolz
Answer:
6(x-2) x (4x-7)
Step-by-step explanation:
the pictures attached have the working there
HELP PLEASE I JUST NEED TO KNOW IF THE ANSWER IS AN EXTRANEOUS SOLUTION OR NOT
Solve the rational equation x over 5 equals x squared over quantity 4x plus 2 and check for extraneous solutions.
x = 0; x = −2 is an extraneous solution
x = 2; x = 0 is an extraneous solution
x = 0 and x = 2
x = 0 and x = −2
Answer:
x=0 and x=2
Step-by-step explanation:
[tex]\frac{x}{5} = \frac{x^{2}}{4x+2}[/tex]
4x+2 can't equal 0, is 4x+2=0, then x=-1/2, none of the answers are -1/2 so none are extraneous
x=0 is a solution, but x=-2 isn't, x=2 works (i checked this by plugging the solutions into the equation
Answer:
(C) x = 0 and x = 2
