Answers
Answer:
a, e
Step-by-step explanation:
a. function A has a slope of -2/3. the negative means it goes down. function B is going down on the graph so both functions have neg. rates of change.
b. function A's slope is -2/3. function b has a slope of -1.
c. since both functions slopes aren't the same they are not parallel.
d. 2/3 is a lesser rate of change than 1.
e. looking at the graph, function b is linear. A is linear since the "x" is not squared, cubed, etc.
Related Questions
if 22/15 = 23/x what is x equal to
Answers
Answer:
15.68
Step-by-step explanation:
22/15=23/x
cross product
15*23=22*x
345=22x
x=345/22
x=15.68
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and Numbers off buses they took if each car holds 5 student’s and each bus holds 45 students.
Answers
Answer:80
Step-by-step explanation:
Answer:
Number of cars=3
Number of buses=4
Step-by-step explanation:
Let the number of cars be x, and the number of buses be y.
x+y=7 (total number of vehicles) ---①
5x+45y=195 (total number of students) ---②
*each car holds 5 students, whereas each bus holds 45, which equals to 5x and 45y
From equation ①,
x=7-y ---③
Substitute ③ into ②
5(7-y)+45y=195
35-5y+45y=195
40y=195-35
40y=160
y=4
Therefore,
x+y=7
x=7-y
x=7-4
x=3
Algebra | Sem2 Activity 1.1.1 - Absolute Value Graphs
1. Does the absolute value graph below stretch or shrink? Support your answer.
f(x) - 7|x - 5149
• The graph stretches because 7 is bigger than 1.
The graph stretches because 7 is between 0 and 1.
The graph shrinks because 7 is bigger than 1.
The graph shrinks because 7 is between 0 and 1.
Answers
The correct answer is The graph stretches because 7 is bigger than 1.
The graph of [tex]\( f(x) = 7|x-5|+9 \)[/tex] experiences a vertical stretch, not a shrink, despite the coefficient ( 7 ) being greater than 1.
The absolute value function ( |x| ) reflects any negative values of ( x ) to their positive counterparts, essentially mirroring the negative portion of the graph onto the positive side.
When you apply a coefficient greater than 1 to [tex]\( |x| \), as in \( 7|x| \),[/tex] it vertically stretches the graph.
This means that the graph of ( f(x) ) will be vertically stretched by a factor of 7 compared to the graph of ( |x| ).
In this case, since [tex]\( |x-5| \)[/tex] is the argument of the absolute value, it implies a horizontal shift of the graph of [tex]\( |x| \)[/tex] by 5 units to the right.
So, the absolute value graph [tex]\( |x| \)[/tex] gets shifted 5 units to the right before it is stretched vertically by a factor of 7.
The ( +9 ) at the end of the function only moves the entire graph up by 9 units.
Thus, the graph of [tex]\( f(x) = 7|x-5|+9 \)[/tex] experiences a vertical stretch by a factor of 7.
Therefore, the correct statement is: "The graph stretches because 7 is bigger than 1."
Question
Does the absolute value graph below stretch or shrink? Support your answer. F(x) = 7|x-5|+9
The graph shrinks because 7 is between 0 and 1.
The graph stretches because 7 is bigger than 1.
The graph shrinks because 7 is bigger than 1.
The graph stretches because 7 is between 0 and 1.
Pls help, more equations. If you answer, you can do it on paper, then take a photo and post it as your answer
Answers
Answer:
all work is shown and pictured
Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from B to AC.
Answers
Step-by-step explanation:
Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)
[tex]x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8[/tex]
The area of a triangle is= [tex]\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)][/tex]
=[tex]|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|[/tex]
=[tex]|-54|[/tex] = 54 square units
The length of AC = [tex]\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}[/tex]
= [tex]\sqrt{(2-12)^{2} +(1-8)^2}[/tex]
=[tex]\sqrt{149}[/tex] units
Let the perpendicular distance from B to AC be = x
According To Problem
[tex]\frac{1}{2} \times x \times \sqrt{149} = 54[/tex]
⇔[tex]x =\frac{108}{\sqrt{149} }[/tex] units
Therefore the perpendicular distance from B to AC is = [tex]\frac{108}{\sqrt{149} } units[/tex]
h(x)=5x-1h(x)=5x−1, find h(1)h(1
Answers
If the given function is h(x)=5x-1 then h(1)h(1) would be equal to 16.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given;
h(x)=5x-1
In order to find the h(1)h(1)
substitute x = 1 in the function h(x)
h(x)=5x-1
h(1) = 5(1) - 1
h(1) = 5 -1 = 4
So, h(1)h(1) = 4 x 4 = 16
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What is the completely factored form of f(x)=x3+4x2+7x+6?
Answers
Answer:
f(x)=(x+2)(x−(−1+i2√))(x−(−1−i2√))
Sorry if its wrong!
The required completely factored form is f(x) = (x + 2)(x−(−1+i2√))(x−(−1−i2√)).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The function is given in the question following as:
f(x) = x³ + 4x² + 7x + 6
We have to determine the completely factored form of the given function
As per the given question, we have
⇒ f(x) = x³ + 4x² + 7x + 6
Common factor as (x + 2) out in the above expression,
⇒ f(x) = (x + 2)(x² + 2x + 3)
⇒ f(x) = (x + 2)(x−(−1+i√2))(x−(−1−i√2))
Therefore, the required completely factored form is f(x) = (x + 2)(x−(−1+i2√))(x−(−1−i2√)).
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what is the sum of 43,489 + 444,398
Answers
Answer:
487887
Step-by-step explanation:
879187
Step by step explanation:
43489
+444398
—————
879187
Identify the slope with point A at (2,6) and Point B at (4,10)
Answers
Answer:
The slope to the given points A at (2,6) and B at (4,10) is 2
Therefore slope m=2
Step-by-step explanation:
Given points are A at (2,6) and B at (4,10)
To find the slope of the given two points :
Let [tex](x_1,y_1) and (x_2,y_2)[/tex] be the given points A at (2,6) and B at (4,10) respectively
Slope m[tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]
Now substitute the points in the above equation we get
m[tex]=\frac{10-6}{4-2}[/tex]
[tex]=\frac{4}{2}[/tex]
[tex]=2[/tex]
Therefore m=2
The slope to the given points A at (2,6) and B at (4,10) is 2
Therefore slope m=2
How can you use a property of operations to write a simplified equivalent expression
Answers
Answer:
Step-by-step explanation:
For example, apply the distributive property to the expression 3 (2 + ) to produce the equivalent expression 6 + 3; apply the distributive property to the expression 24 + 18 to produce the equivalent expression 6 (4 + 3); apply properties of operations to + + to produce the equivalent expression 3.
What is the altitude of an equilateral triangle with a side length of 10 in.
Answers
Good morning,
Answer:
[tex]\frac{\sqrt{3} }{2} a[/tex]
Step-by-step explanation:
h = altitude
side = a
using Pythagorean theorem: in the right triangle:
h² = a² - (a/2)²
= a² - a²/4
= 3/4a²
= [(√3/2)×a]²
⇒ h = (√3/2)×a.
:)
Carmen often orders party trays from her favorite Mexican food restaurant For company events. For a recent company party, she spent $38 on one burrito bladder and one taco platter. For a company meeting, she spent $90 on to burrito platters and one taco platter. How much does each type of platter cost?
Answers
Carmen often orders party trays from her favorite Mexican food restaurant For company events. For a recent company party, she spent $58 on one burrito platter and one taco platter. For a company meeting, she spent $90 on two burrito platters and one taco platter. How much does each type of platter cost?
Answer:The cost of each buritto platters is $ 32 and cost of each taco platter is $ 26
Solution:Let "a" be the cost of each burrito platters
Let "b" be the cost of each taco platters
Carmen spent $58 on one burrito bladder and one taco platter
Therefore we frame a equation as:
one burrito bladder x cost of each burrito platters + one taco platter x cost of each taco platters = 58
[tex]1 \times a + 1 \times b = 58[/tex]
a + b = 58 ---------- eqn 1
For a company meeting, she spent $90 on two burrito platters and one taco platter
two burrito platters x cost of 1 burrito platter + one taco platter x cost of 1 taco platter = 90
[tex]2 \times a + 1 \times b = 90[/tex]
2a + b = 90 ----------- eqn 2
Let us solve eqn 1 and eqn 2
Subtract eqn 1 from eqn 2
2a + b -a - b = 90 - 58
a = 32
Substitute a = 32 in eqn 1
32 + b = 58
b = 26
Hence, cost of 1 burrito = $32 and the cost of 1 taco platter = $26
Can someone please help!!
Linda's health insurance policy has a $1,000 deductible and 20% coinsurance. Her total medical bills last year were $6,450.
The insurance company paid a total of _ for the year.
options are:
$5,450
$4,160
$4,360
$2,090
Answers
After deducting Linda's $1,000 deductible and 20% coinsurance from her total medical bills, the insurance company paid $4,360 for the year.
Explanation:Linda's health insurance policy has a deductible of $1,000, meaning that amount will have to be paid out of her pocket before the insurance starts to cover. In addition, the policy has 20% coinsurance, which means Linda is responsible for 20% of the remaining healthcare costs after the deductible is met.
First, calculate the bills Linda has to pay after the deductible: $6450 - $1000 = $5450.
Next, account for the coinsurance by calculating 20% of that amount: 0.20 * $5450 = $1090.
To find out how much the insurance company paid, we subtract the amount Linda pays from her total bills. Therefore, $6450 - $1000 (deductible) - $1090 (coinsurance) = $4360. So, the insurance company paid $4360 for the year.
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How do I answer this question?
The expression 15n+12n+100 represents the total cost in dollars for skis,boots and a lesson for n skiers.Simplify the expression 15n+12n+100.Then find the total cost for 8 skiers.
Answers
Answer:
The total cost for 8 skiers=316 dollars
Step-by-step explanation:
Given that the expression 15n+12n+100 represents the total cost in dollars for skis,boots and a lesson for n skiers.
To simplify the given expression :
15n+12n+100=27n+100
27n=-100
Therefore [tex]n=\frac{-100}{27}[/tex]
Now to find the total cost for 8 skiers.
The total cost for 8 skiers can be written as below
Put n=8 in the given expression 15n+12n+100
15(8)+12(8)+100
=120+96+100
=316
Therefore the total cost for 8 skiers is 316 dollars
The total cost for 8 skiers=316 dollars
Which situation would be represented by the integer -8?
You earn $8
A hole 8 feet deep.
A temperature of 8°F.
An 8-yard pass.
Answers
Answer:
Step-by-step explanation:
a hole 8 ft deep.....would be -8 because it is -8 below ground level
u earn $ 8....thats +8
a temp of 8 F....thats a +8
an 8 yd pass....thats a + 8
Answer:
a hole 8 ft deep.....would be -8 because it is -8 below ground level
a rectangular room is twice as long as its breadth and its peimeter is 540 m. find the number of bricks of size 20 cm ×12cm to pave the room. if the rate of cost of bricka is rs. 950 per 1000, find the cost of paving the room.
Answers
Answer:
Step-by-step explanation:
breadth = x
length = 2x
Perimeter = 540m
2*( length + breadth ) = 540
2 *(2x + x) = 540
3x = 540/2
3x = 270
x = 270/3
x = 90 m
Breadth = 90m = 90 *100 = 9000 cm
Length = 2*90 = 180 m = 180 * 100 = 18000 cm
No.of bricks = Area of room/ area of one brick
= 9000 * 18000 / 20 * 12
= 675000 bricks
help asap pls
Joni is solving the equation 3x-1= 6 - x using the graphing capabilities
on her calculator. Here is what the calculator screen displays
when she finds the intersection of the graphs of Y2 = 3x - 1 and Y2 = 6-X.
What is the solution to the equation? How do you know?
Answers
Answer:
x = 7/4 = 1.75
Step-by-step explanation:
Hello - so you don't seem to have shown what the calculator screen displays, however I can assume it will show a graph of the two lines, and their intersection point. The x-co-ordinate of this intersection point is the solution to the equation.
As I can't see the calculator, I will also show you how to work out the solution for x:
3x - 1 = 6 -x
4x -1 = 6
4x = 7
x = 7/4 = 1.75
Mrs. Jones is building wooden picture frames. She has 1 5/8 of wood and needs 3/4 for each frame. How many frames can she make with the exiting material? *
show ur work
Answers
Answer:
[tex]2\frac{1}{6}\ frames[/tex]
Step-by-step explanation:
we know that
To find out how many frames she can make with the exiting material, divide 1 5/8 by 3/4
so
[tex]1\frac{5}{8}:\frac{3}{4}[/tex]
Convert mixed number to an improper fraction
[tex]1\frac{5}{8}=\frac{1*8+5}{8}=\frac{13}{8}[/tex]
substitute
[tex]\frac{13}{8}:\frac{3}{4}=\frac{52}{24}\ frames[/tex]
Simplify
[tex]\frac{13}{6}\ frames[/tex]
Convert to mixed number
[tex]\frac{13}{6}\ frames=\frac{12}{6}+\frac{1}{6}=2\frac{1}{6}\ frames[/tex]
Forty liters of a 60% salt solution are being reduced to a 45% solution. How much
must be drained and replaced with distilled water so that the resulting solution will
contain only 45% salt solution?
Answers
Answer:
10 liters of solution should be drained off and replaced with water.
Step-by-step explanation:
Let [tex]x[/tex] be the amount in liters replaced with distilled waterAs forty liters of a 60% salt solution are being reduced to a 45% solution, and we have to determine the amount in liters that must be drained and replaced with distilled water so that the resulting solution will contain only 45% salt solution.
So, the equation becomes
[tex]0.60(40-x) = 0.45(40)[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]
[tex]0.6\left(40-x\right)=0.45\cdot \:40[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:0.45\cdot \:40=18[/tex]
[tex]0.6\left(40-x\right)=18[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]0.6\left(40-x\right)\cdot \:10=18\cdot \:10[/tex]
[tex]\mathrm{Refine}[/tex]
[tex]6\left(40-x\right)=180[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}6[/tex]
[tex]\frac{6\left(40-x\right)}{6}=\frac{180}{6}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]40-x=30[/tex]
[tex]\mathrm{Subtract\:}40\mathrm{\:from\:both\:sides}[/tex]
[tex]40-x-40=30-40[/tex]
[tex]-x=-10[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-x}{-1}=\frac{-10}{-1}[/tex]
[tex]x=10[/tex]
Therefore, 10 liters of solution should be drained off and replaced with water.
Keywords: word problem
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Answer:
10 liters of solution should be drained off and replaced with water.
Step-by-step explanation:
;) brainliest???????
The table shows inputs and outputs for a relation.
Identify a possible value for x that would make the relation shown in the table NOT a
function. Explain.
Answers
Answer:
whats the answer lol
Step-by-step explanation:
what is rational 125 in simplest form
Answers
Answer:
1/8
Step-by-step explanation:
If we divide both the top and the bottom by 5 since we know 125 is a multiple of 5, we get 25/200. Divide both by 5 again to get 5/40. Divide by 5 one more time to get 1/8, and since the numerator is 1, the fraction cannot be simplified any further. Therefore, the answer in its simplest form is 1/8.
Answer:
If we divide both the top and the bottom by 5 since we know 125 is a multiple of 5, we get 25/200. Divide both by 5 again to get 5/40. Divide by 5 one more time to get 1/8, and since the numerator is 1, the fraction cannot be simplified any further. Therefore, the answer in its simplest form is 1/8.
Step-by-step explanation:
How many does 40 go into 100
Answers
Answer:2.5 or 2 with the remainder of 20
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
If you are asking what 100 divided by 40 is, that is the answer. (I'm not really sure how to explain it. Just type in 100 divided by 40 into your calculator)
Hope this helps!
-Coconut;)
Solve u:
(2.8 − 2.8) ÷ u = 0
Answers
Answer:
Any U
Step-by-step explanation:
Hey there. Here isbyour solution:
2.7-2.8=0
0/u=0
Statement is always true. So u[tex]\in[/tex]R
Pls Help me plsssssssss
Answers
Answer:
X=89.4
Step-by-step explanation:
Rachel has $18.20 deducted from her paycheck every month for insurance. After 6.25 months, how much money
has been deducted from Rachel's checks?
O -$11.38
CO -$18.20
-$113.75
-$1,137.5
Answers
Answer:
The answer is C.) -113.75
Step-by-step explanation: I just did the assignment and used a calculator to find the answer.
Which graph represents the solution to this inequality? 16x - 80x < 37 + 27
Answers
The graph that represents the solution to this inequality is x > -1.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
The given inequality is 16x - 80x < 37 + 27.
Simplifying the left-hand side of the inequality.
-64x < 64
Dividing both sides by -64
(remember to reverse the inequality because we're dividing by a negative number).
x > -1
Now,
This inequality represents all values of x that are greater than -1.
To represent this solution graphically, we would shade the region to the right of the vertical line x = -1, as all x values to the right of -1 satisfy the inequality.
Thus,
The graph that represents the solution to this inequality is x > -1.
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Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total
earnings on gasoline for the lawnmowers each week. Which inequality can be used to find m, the number of lawns they need
to mow next week so that each person earns at least $275?
45m-30 2275
45m-302275
45m-30 $275
45m - 30 s275
Answers
Answer:
45 m - 30 ≥ 275 x (4) is the required inequality.
Step-by-step explanation:
m: The number of lawns they need to mow next week
The charge per mowing of lawn = $45
The total earnings spent on gasoline each week = $30
The earning per person is AT LEAST $275.
Now,if 1 person earns at least $275
So, the total minimum earnings of 4 people = 4 x ($275) = $ 1100
Also, of per mow charge = $45
So, the charge of mowing m lawns = m x ( Per mow charge )
= m x ( $45) = 45 m
Now, according to question:
Total Earning - Money spent on gasoline ≥ Total Earning $1100
or, 45 m - 30 ≥ 1100
Hence, the needed inequality is 45 m - 30 ≥ 1100
or, 45 m - 30 ≥ 275 x (4)
Answer:
a
Step-by-step explanation:
for people who don't like reading, i gotchu <3
Peter has to use the following information to find the original number: "If you double a number and then add 36 you get 4/11 of the original number." Write and solve an equation to find the original number.
Answers
Answer:
-22
Step-by-step explanation:
2x + 36 = 4/11 x
2x - 4/11 x = - 36
18/11 x = - 36
x = ((-36) x 11) / 18 = - 22
please help i need this answer for my end of course test
a(1) = -13
a(n) = a(n - 1) + 4
Find the second term in the sequence.
Question options:
a) 9
b) -9
c) 8
d) -8
i will give you the brainliest
Answers
Option B
The second term of sequence is -9
Solution:
Given that,
[tex]a(1)= -13\\\\a(n) = a(n-1) + 4[/tex]
We have to find the second term of sequence
To find the second term of sequence, substitute n = 2 in given recursive formula
Plug in n = 2 in above equation
[tex]a(2) = a(2-1) + 4\\\\a(2) = a(1) + 4[/tex]
Substitute a(1) = -13
[tex]a(2) = -13 + 4\\\\a(2) = -9[/tex]
Thus the second term of sequence is -9
if there are 5280 feet in one mile how many yards are in 2 mi