Answer:
Step-by-step explanation:
f(x) = -3x-6
slope of line is -3
parallel lines have the same slope
point-slope equation for line of slope -3 that passes through (6,-8):
y+8 = -3(x-6)
put equation into slope-intercept form:
y = -3x + 10
Answer:
[tex]y = - 3x + 10[/tex]
Step-by-step explanation:
We are asked to find a line parallel to line f
[tex] - 3x - 6[/tex]
and passes through 6,-8.
Parallel lines have the same slope so our new line will also has-3 as it slope
wo using the slope intercept form let update our equation so far.
Slope intercept is
[tex]y = mx + b[/tex]
where m is the slope and b is the y intercept
plug in -3 for the slope since our new equation must be parallel.
[tex]y = - 3x + b[/tex]
Now plug 6 for x and -8 for y.
[tex] - 8 = - 3(6) + b[/tex]
[tex] - 8 = - 18 + b[/tex]
[tex]b = 10[/tex]
Our equation is
[tex]y = - 3x + 10[/tex]
The graph of a linear system is shown. y oo D ONUR 1 کلو -545 -4 -3 -2 -11 1 2 3 4 5 6 7 8 9 10 What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(2,7)
Step-by-step explanation:
3kg of apples and 8kg of grapes costs €7.60 in total 5kg of apples and 3kg of grapes costs €7.50in total work out the costs of a kg of each type of fruit
Answer:
1kg of apple : €0.50
1kgof grapes : €1.20
Step-by-step explanation:
15kg of apples and 40kg of grapes costs €38
15kg of apples and 9kg of grapes costs €22.50
38 - 22.50 = 15.5
40 - 9 = 31
15.5 ÷ 31 = 0.5 ( 1kg of grapes )
0.5 × 3 = 1.5
7.5 - 1.5 = 6
6 ÷ 5 = 1.2 ( 1kg of apples )
The sequence below shows a certain company's expected net worth, in millions of dollars, after 1, 2, 3, and 4 years and so on).
14.5, 13.1, 11.7, 10.3, ...
th
Which function models the n term of this sequence, for n = 1, 2, 3, 4, ...?
A f(n) = 14.5 – 1.4(n - 1)
B f(n) = 14.5+ 1.4(n - 1)
с. f(n) = 14.5 – 1.4n
D. f(n) = 14.5+ 1.4n
Answer:
the answer is f(n)=14.5−1.4n
Step-by-step explanation:
Hope this helps
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d
The given arithmetic sequence is 14.5, 13.1, 11.7, 10.3,....
Here, a=14.5 and d=14.5-13.1=1.4
Substitute a=14.5 and d=1.4 in an=a+(n-1)d, we get
f(n)=14.5+1.4(n-1)
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
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Can someone please explain how to simplify expressions that have negative and positive exponents
Answer:
see below, I hope it's helpful
Step-by-step explanation:
Simplifying expressions...
1. use as many steps as you need, don't take shortcuts or try to do too much in one step... only touch each item in the expression once at most at each step
2. Follow PEMDAS
3. consider some of the rules of exponents: (a/b)^n = (a^n)/(b^n) and (x)^(-n) = 1/(x^n) and a^(b^c) = a^(bc)
examples x^(-4) = 1/(x^4)
3^(-x) = 1/(3^x)
(2/x)^(-n) = (1/(2/x))^n = (x/2)^n
2^(-x^3) = 2^(-3x) = 1/(2^3x)
so for example
2^(-x) - (x)^(-n) + (-n)^(x^(-2)) touch each part only once, do what you can
1/(2^x) - 1/(x^n) + (-n)^(-2x) the third part needed two steps, so be it
1/(x^n) - 1/(x^n) + (1/((-n)^2x)
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin. Why is the image similar to the pre-image? Check all that apply
1. The corresponding sides of the triangles are congruent
2. The corresponding angles of the triangles are congruent
3. The corresponding sides of the image are 5 times as long as those of the pre-image
4. The image is a reduction of the pre-image
5. Neither the dilation nor the rotation change the shape of the triangle
6. The rotation reduces the size of the triangle
Please hurry, thank you!
Answer
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Options 2, 4 and 5 are the correct answer.
Given that, a triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides.
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles.
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image.
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced.
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths).
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position.
Therefore, options 2, 4 and 5 are the correct answer.
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A bookshop has an offer.
"Buy one book and get one free!"
Ria gets 8 books from the shop with that offer.
The normal price of each book is £5.99.
How much does Ria spend?
Please answer as quickly as you can! ♥ Find two possible dimensions for a cylinder that has a volume of 64π cm³.
Answer:
Possible dimensions are [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex] and [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]
Step-by-step explanation:
Given:
Volume of a cylinder is [tex]64\pi\,\,cm^3[/tex]
To find: Dimensions of a cylinder
Solution:
Let [tex]r,h[/tex] denote height of a cylinder.
Volume of a cylinder = [tex]\pi r^2h[/tex]
Therefore,
[tex]64\pi=\pi r^2h\\64=r^2h\\4^2\,4=r^2h[/tex]
One possible dimension can be [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex].
Also, [tex]64=r^2h[/tex] can be written as [tex]16(2^2)=hr^2[/tex]
So, another possible dimension can be [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]
1. 10a - 8b C) 4a + 5b
2. 5b + 3C (-) 4b + 3C
3. 6d + 6e (-) 9d - 8e
4. 8x - 3y (-) -4x + 8y.
5. Ors – 7bc (-) 9rs – 7bc
6. 5xy - 9cs (-)-3xy + cs
7. x2 - 6x + 5 (-) 3x2– 2x – 2
Step-by-step explanation:
1)
a-13b
2) b
3) -3d+14e
4)12x-11y
5)-3rs
6)8xy-10cs
7)
[tex] - 2 {x}^{2} - 4x + 7[/tex]
8)
[tex]8 {y}^{2} - 7[/tex]
Answer:
1. 6a - 3b
2. b + 6c
3.- 3d - 2e
4. 12x + 5y
5. -3rs - 14bc
6. 8xy - 8cs
7. -2x^2 - 8x + 3
Step-by-step explanation:
Subtract polynomials
You want to get a job to earn at least $120 per week, but you can not work more than 18 hours a week. There is online work you can do that only pays $4 per hour, or you could help your uncle for $8 per hour as an apprentice repair mechanic. Is the below a possible solution? (Type your fill-in-the-blank answers).
Captionless Image
Answer:
hm the 8 per hour seems more accurate because if you multiply or divide 8 could almost get you to 120
Step-by-step explanation:
Failing this class plz help
Answer:
m∠2 = 35°m∠3 = 55°Step-by-step explanation:
Angles 2 and 3 are complementary ⇒ m∠2 + m∠3 = 90°
Angles 3 and 4 are complementary ⇒ m∠3 + m∠4 = 90
m∠2 = m∠4 = 35°m∠3 = 90° - 35° = 55°is the discriminant of f positive , zero , or negative
Answer:
Negative because there's no x-intercepts!
Hope this helps!
In 1992 a gigabyte cost $3000. In 2012 the gigabyte price decreased by 97%. What was the cost of a gigabyte in 2012
help 6x+6y=-6
x=-5y-13
Answer:
what do you need help on?
Step-by-step explanation:
which graph showed exponential growth
4(-2x-7) use distributive property to expand it
Answer:
-8x-28 is after the distributive prop simplified
Step-by-step explanation:
4(-2x-7)
(4×-2x)-(4×-7)= -8x-28
K - 5 = 12. Solve the equation
Answer:
17 = K
Step-by-step explanation:
Add 5 to both sides to get K = 17
What is the value of 0.1562 rounded to the nearest hundredth place?
Answer:
0.16
Step-by-step explanation:
If you spin the spinner 75 times how many 2s would you get?
Answer:
If the numbers went from 1-5 then maybe 15 at least I think or more. I don't know it is a prediction.
Step-by-step explanation:
Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes,and 20 pages in 30 minutes. Is this a proportional relationship? If so, what is the constant of proportionality? What does it represent? Write an equation to represent this situation.
Answer:
y = 2/3xStep-by-step explanation:
Reading rate is y pages per x minutes and proportional relationship formula is:
y = kxThe coefficient is:
k = y/xLet's verify if the given numbers fit into the same relationship:
12/18 = 2/38/12 = 2/320/30 = 2/3We confirm all same and it means k = 2/3
Required equation is:
y = 2/3xThis represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages
5692 in standard form
Answer:
5.692 × 103.
Step-by-step explanation:
Answer:
5.692 × 10^3
Step-by-step explanation:
hope it helps you
stop saying yall gon help me and not help me......
but anyays can sum1 go to meh acc nd help pls ill give brainlist
Answer:
Sure thing. Which question do you need help with? ill do the best i can.
Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2
which number is an integer? 6 4.2 3/4 5 1/2
Answer:
5, 6
Step-by-step explanation :
An example of the Commutative Property of Addition is ________
Answer:
Commutative property of addition: Changing the order of addends does not change the sum.
Step-by-step explanation:
For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44, plus, 2, equals, 2, plus, 4.
PLZ HELP ASAP it’s due by midnight
My last math question of the day! Help me out!
What equation can be used to find B, the number of points scored!
Thank you!
Answer:
A
Step-by-step explanation:
Let b represent the number of points Ben scored.
We know that Lori scored 26 points.
This amount is two less than four times what Ben scored.
Four times what Ben scored will simply be 4b.
And two less will be 4b - 2.
This is equivalent to Lori's score.
So, we can write that:
[tex]4b-2=26[/tex]
Hence, our answer is A.
Answer:
I believe it is A
Step-by-step explanation:
Since in this problem you would want to find b, which is stated the is almost 4 times 26... however is 2 less. The other options are wrong since you would want a bigger number, not a smaller one... Hopefully this is helpful
Use the square root property to solve: 5x^2+8 =133
Please help
Answer:
x = ± 5Step-by-step explanation:
See the steps
5x^2+8 = 1335x^2 = 133 - 85x^2 = 125x^2 = 125/5x^2 = 25√x² = √25x = ± 5Answer:
x=5
x=−5
Step-by-step explanation:
5x^2+8 =133
Subtract 8 from both sides.
5x^2=133−8
Subtract 8 from 133 to get 125.
5x^2=125
Divide both sides by 5.
x^2=125/5
Divide 125 by 5 to get 25.
x^2=25
Take the square root of both sides of the equation.
x=5
x=−5
Write a expression shows an expanded form of -8x^3y^2(x^2-4y)
Answer:
Step-by-step explanation:
-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y
= -8x³⁺⁵y² + 32x³y²⁺¹
= -8x⁸y² + 32x³y³
can someone help me im stuck
Answer:
(3). 500; (4) 60
Step-by-step explanation:
The given point 1, -3 reflected over the x axis
Answer:
(1,3)
Step-by-step explanation:
The image of (1, -3) is (1, 3).
What is a reflection?There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
Point = (1. -3)
Reflected over the x-axis.
So,
(1, -3) = (1, -(-3)) = (1, 3)
Thus,
(1, 3) is the reflected image.
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