Find the slope of the line that contains (1, 6) and (10.-9).
Answer:
-5/3
Step-by-step explanation:
m=−9−6/10−1
m=−15/9
Slope=
−15/9=−5/3
F(x)=-∣x∣2-3
Shift this equation 1 unit to the right.
Will give brainliest to best answer! TYSM!<3
Answer:
[tex]f^\prime(x)=-2|x-1|-3[/tex]
Step-by-step explanation:
Write the equation for f(x)=IxI but vertically stretch it by a factor of 2, flip it over the x axis, shift it down 3 units, shift it 1 unit to the right
We have the (parent absolute value) function:
[tex]f(x)=|x|[/tex]
And we want to write a new function which represents the previous function: 1) Vertically stretched by a factor of 2, 2) flipped over the x-axis, 3) shifted down 3 units, and 4) shifted 1 unit to the right.
1)
To vertically stretch/compress a function, we multiply the function by a constant a.
If a is greater than 1, it is a vertical stretch. If a is less than 1 (and greater than 0), it is a vertical compression.We want to vertically stretch our function by 2. So, we will multiply our function by 2. Therefore:
[tex]f^\prime(x)=2|x|[/tex]
2)
We want to flip the function over the x-axis.
To flip a function over either axis:
Multiply by negative 1 to flip the function over the x-axis.Substitute x for -x to flip the function over the y-axis.Since we want to flip our function over the x-axis, we will multiply it by -1. So:
[tex]f^\prime(x)=-2|x|[/tex]
3)
We want to shift our function down by 3 units.
To shift a function vertically, we simply add the vertical shift to our function.
Since we are shifting downwards by 3 units, we will add -3 to our function. So:
[tex]f^\prime(x)=-2|x|-3[/tex]
4)
Finally, we want to shift our function 1 unit to the right.
To shift a function horizontally, we replace the x with (x-n), where n is the horizontal shift.
Since we are shifting our function to the right, n=1. Therefore, we will replace x with (x-1). So, our function becomes:
[tex]f^\prime(x)=-2|x-1|-3[/tex]
And we have our final function.
Note: In general, try doing the vertical/horizontal stretches first, x/y-axis reflections second, and then vertical/horizontal shifts last to avoid mistakes.
A paper company has 30 boxes of paper ready to ship.
There are 27,000 pieces of paper in the boxes.
If each box has an equal number of pieces of paper, how many pieces of paper are in each box?
Answer:
900
Step-by-step explanation:
[tex]\frac{27000}{30}=900[/tex]
3.3x10^9+2.6x10^9+7.7x10^8
2x+3y = 17
2y + z = 1
5x +10z = 25
Find x
Answer:
x = 7
Step-by-step explanation:
Given the equations
2x + 3y = 17 → (1)
2y + z = 1 → (2)
5x + 10z = 25 → (3)
Rearrange (2) expressing z in terms of y
z = 1 - 2y
Substitute z = 1 - 2y into (3)
5x + 10(1 - 2y) = 25
5x + 10 - 20y = 25 ( subtract 10 from both sides )
5x - 20y = 15 → (4)
Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term
40x + 60y = 340 → (5)
15x - 60y = 45 → (6)
Add (5) and (6) term by term to eliminate y, that is
55x = 385 ( divide both sides by 55 )
x = 7
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
From the equation [tex]2y + z = 1[/tex] , we can separate [tex]z[/tex] so that [tex]z = 1-2y[/tex].
The equation [tex]5x+10z = 25[/tex] can then be turned into:
[tex]5x+10(1-2y) = 25[/tex]
[tex]5x+10-20y = 25[/tex]
[tex]5x -20y = 15[/tex]
[tex]x-4y = 3[/tex] (divide by [tex]5[/tex] on both sides)
We can now use elimination to solve for one of the variable:
[tex]2(x-4y) = 2\times3[/tex] (times 2 to get [tex]2x[/tex] for elimination)
[tex]2x-8y=6[/tex]
[tex]2x+3y-(2x-8y) = 17-6[/tex]
[tex]11y = 11[/tex]
[tex]y = 1[/tex]
Now, we can use substitution to solve for [tex]x[/tex]:
[tex]2x+3y = 17[/tex]
[tex]2x+3 = 17[/tex]
[tex]x = 7[/tex]
Hope this helps :)
HURRY!
If is the lesser number in an inequality, which statement is true about the other number in the inequality?
A.
The other number is located to the left of on the horizontal number line.
B.
The other number is located above on the vertical number line.
C.
On the horizontal number line, is located to the right of the other number.
D.
On the vertical number line, is located above the other number.
Answer:
the answer is a
Step-by-step explanation:
Answer: The correct answer is C.
Step-by-step explanation: I had the question.
You decide to join a tennis class. The initial entrance fee is
$100, and a $10 fee every month you want to take the class.
How much will it cost for five months?
Given :
Initial entrance fee of tennis class, E = $100 .
Fee of every month, F = $10 .
To Find :
How much will it cost for five months.
Solution :
Let, number of months are n and cost of class is y.
So, linear equation is given by :
y = 10n + 100 ...1)
To know the cost of 5 month, putting value of n = 5 in equation 1) we get :
y = ( 10×5) + 100
y = 50 + 100
y = $150
Therefore, the cost of five month fee in tennis class is $150.
Hence, this is the required solution.
Hey again.. Please answer!!
Answer:
I can't see the question
its too small can you type it out?
Step-by-step explanation:
Answer:
32 cups and 24 cups
Step-by-step explanation:
4x + 3x = 56
7x = 56
x = 8
4(8) = 32 cups of pretzels
3(8) = 24 cups of candy corn
does the graph represent a function? yes or no lol pls help
In mike's state, the weekly unemployment compensation is 45% of the 26 weekly for the two highest salaried quarters. A quarter is three consecutive months. For july,august, and september, mike earned a total of $22,500. In october, november, and december, he earned a total of $22,900. Determine Mike's weekly unemployment compensation .
Answer:
$785.77
Step-by-step explanation:
Assuming that Mike earned the highest compensation between July and December (third and fourth quarters), his total compensation for the six month period = $22,500 + $22,900 = $45,400
his average weekly salary = $45,400 / 26 weeks = $1,746.15
Mike's unemployment compensation = $1,746.15 x 45% = $785.77
Calculate 0.470.81+1.631 write full display of calculator
-----------------------
ii- Give your answer correct to 4 significant figures
The length of a rectangle is represented by 4 + 6x. The width is half the length. What expression represents the perimeter of the rectangle? Explain your reasoning
Answer:
12+18x is the perimeter
Step-by-step explanation:
4+6x+4+6x+1/2(4+6x)+1/2(4+6x)=
3(4+6x)=
12+18x
Help me please I will give you the brainliest please ;( :[
Answer:
I'm not great with domain and range but for the 4th question the answer is b. and for the 5th part 1 the answer is a. and for part 2 the answer is d. i believe
Write an equation in slope-intercept form of the line that passes through the points (4,1) and (8,2)
Answer:
y=1/4x
Step-by-step explanation: in image below
What is the surface area of the pyramid
Answer:
The surface area is 31.85 in.
Step-by-step explanation:
Is the function shown linear or nonlinear? Explain.
Answer:
non linear im pretty sure
Can someone show me how do I do this please?
Answer:
the awnser is c
Step-by-step explanation:
A- 100:1 would mean it is a 10000% markup
B- 1:100 lower than b so eliminate
C- 2:1 So a is double the amount of b so it's 100%
D- 1:2 B is 100% of a so it's flipped, not what question is asking for
So process of elimination shows that C is the correct awnser
Anyone ever heard of Delta math?
Are you referring to a program? Then:
Delta Math is an RTL program that provides online readiness screening and standard based reporting, paper based progress monitoring and tiered instructional support for Kindergarten through Algebra 1. Algebra 2 readiness screeners and online practice are also now available!
Hope this helps and if you could mark me as brainliest. Thanks!
Six cousins inherited a total of 5/8 of their great aunt’s assets, which they divided evenly. What fraction of their great aunt’s assets did each cousin inherit?
A. 5/48 of the assets
B. 1/8 of the assets
C. 7/48 of the assets
D. 3/8 of the assets
Answer:
5/8 diveided by 6 is 5/48
Step-by-step explanation:
5x +9–3(x-1)=(3x –13)+(4x -30)
Help please
Answer:
x = 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)
Step 2: Solve for x
Distribute 3: 5x + 9 - 3x + 3 = 3x - 13 + 4x - 30Combine like terms: 2x + 12 = 7x - 43Subtract 2x on both sides: 12 = 5x - 43Add 43 on both sides: 55 = 5xDivide 5 on both sides: 11 = xRewrite: x = 11Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)Multiply: 55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)Subtract: 55 + 9 - 3(10) = 20 + 14Multiply: 55 + 9 - 30 = 20 + 14Add: 64 - 30 = 34Subtract: 34 = 34Here we see that 34 does indeed equal 34.
∴ x = 11 is a solution of the equation.
Answer:
x=11
Step-by-step explanation:
[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]
5x + 9 – 3(x-1) = (3x –13) + (4x -30)
5x + 9 -3x + 3 = 3x -13 + 4x -30
5x -3x + 9 + 3 = 3x + 4x -13 -30
2x + 12 = 7x - 43
2x - 7x = -43 - 12
-5x = -55
x = -55/-5
x = 11
hope you understood!!
please help i will give brainliest
Answer:
n<-0.6
Step-by-step explanation:
7.2>0.9(n+8.6)
8>n+8.6
-0.6>n
n<-0.6
So there would be an open circle at the point -0.6 (because the "less than" sign shows that -0.6 is not included), and then an arrow pointing left to show solutions that are less than -0.6
I will assume you know what buttons to press.
Answer:
Step-by-step explanation:
7.2>0.9(n+8.6)
n< -0.6
(-∞,-0.6)
open circle on -0.6 and go to the left
Point E is the midpoint of ab and point F is the midpoint of cd
1. The sum of a number and ten.
Answer:
x+10
Step-by-step explanation:
sum = addition (+)
number = variable because we don't know what the number is yet (x)
ten=ten
So by this we can get x+10
Thomas observed that his friend blinked an average of three times every 15 seconds.
How many times should his friend blink in 65 second?
Answer:
13 blinksStep-by-step explanation:
Step one:
given
number of blinks= 3
time taken to blink=15 seconds
the rate of blink is given as
rate= number of blinks/time taken
rate= 3/15
rate= 1/5 blinks per second, 0.2 blinks per second
Step two:
hence for a 65 second period, the number of blinks is
rate=number of blink/time
0.2=number of blink/9=65
cross multiply we have
number of blink=0.2*65
number of blink=13 blinks
What the answer to -4.5
Answer: 4.5
Step-by-step explanation: I’m assuming you are taking about the absolute value, and the absolute value of -4.5 is 4.5
Answer:
this doesn't even make any sense ;-;
Step-by-step explanation:
what do u mean what is the answer to -4.5
wheres the full question?
im confused what u mean
but the absolute value is 4.5 if thats what u mean
a 8th grade math question, was ignored 3 times already. please answer!
Answer:
1 and 2
Step-by-step explanation:
x – 3.5 = 14.9, x = ?
Answer:
x = 18.4
Step-by-step explanation:
x - 3.5 = 14.9
Add 3.5 to both sides.
x = 14.9 + 3.5
x = 18.4
Answer:
x = 18.4
Step-by-step explanation:
x - 3.5 = 14.9
+ 3.5 +3.5
---------------------
x = 18.4
7. What is the mass of 20.6cm3 of iron if iron
has a density of 7.87g/cm3?
A. 162.1 g/cm3
B. 162.1 cm3
C. 162.1 g/mL
D. 162.1 g
Answer:
Option B
Step-by-step explanation:
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Answer:
B.
Step-by-step explanation:
5 1/2 as an improper fraction is: