Answer:
7−2x
Step-by-step explanation:
1 Collect like terms.
(4+3)+(-7x+5x)
(4+3)+(−7x+5x)
2 Simplify.
7-2x
7−2x
Answer:
-2x + 7
I think
Triangle ABC has vertices located at A(1, -4), B(4, -6) and C(2, -1) on a coordinate grid. After it is reflected across the y-axis and a dilation of ½ is applied, what is the new coordinate of B? A. (4,6) B. (8,12) C. (2,3) D (-2, -3)
Answer:
[tex]B' = (-2,-3)[/tex]
Step-by-step explanation:
Given
[tex]A = (1,-4)[/tex]
[tex]B = (4,-6)[/tex]
[tex]C = (2,-1)[/tex]
reflection across y
[tex]d = \frac{1}{2}[/tex]
Required
New coordinate of B
When reflected across the y-axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So:
[tex](4,-6) \to (-4,-6)[/tex]
Next is a dilation by 1/2
To do this, we multiply the new point by 1/2
So:
[tex]B' = (-4,-6) * \frac{1}{2}[/tex]
[tex]B' = (-4* \frac{1}{2},-6* \frac{1}{2})[/tex]
[tex]B' = (-2,-3)[/tex]
someone help fast please
Answer:
∠C ≈ 11.978°
Step-by-step explanation:
sin (∠C)/5 = sin (95°)/24
=> sin (∠C) = 5 × sin (95°) ÷ 24
=> ∠C = [tex]sin^{-1}[/tex](5 × sin (95°) ÷ 24)
=> ∠C ≈ 11.978°
3. Find the surface area of the square pyramid.
plzzz helppp i will give brainliest
Answer:
Hello! answer: 105
Step-by-step explanation:
When doing these for squares you have to do base × height and for triangles you do base × height ÷ 2 So Lets do the triangles sense there more complex so we can get them out of the way. The base for the triangles our 5 and the height is 8 so we will do 5 × 8 = 40 now we will just divide that by 2 so 40 ÷ 2 = 20 now sense we have four identical triangles we will just multiply 20 by 4 so 20 × 4 = 80 now for the 1 in the middle its nice and simple just 5 × 5 so 5 × 5 = 25 now we just add 80 + 25 and 80 + 25 = 105 So 105 is the area! Hope that helps!
please help
marking brainlist
Answer:
270,000,000,000
Step-by-step explanation:
the amount of time a certain brand of light bulb lasts is normally distributed with a mean if 1800 hours and a standard deviation of 85 hours. Using the empirical rule, what percentage of light bulbs last between 1630 hours and 1970 hours?
Answer:
340%
Step-by-step explanation:
Marking brainliest !!!
How does Martin Luther king use Abraham Lincolns words to explain his point in his speech?
What type of function is represented by the table, and for what reason?
A.
linear, because the X values increase at a constant rate
B. Linear, because the graph of the points makes a line
C.
exponential, because the Y values for success of Integer values of eggs have a common ratio of four
D.
exponential, because the Y values for successive Integer values of X have a common ratio of 16
Answer:
D.
Step-by-step explanation:
Based on the attached picture we can say that function representing these values would be exponential because the Y values for successive Integer values of X have a common ratio of 16. This can be proven by multiplying each one of the y values by 16, which would give us the next y value in the successive set. For example,
2.5 * 16 = 40
40 * 16 = 640
640 * 16 = 10,240
Meaning that the values have a common ratio of 16, and are increasing exponentially.
Mr. Weiss is ordering parts for his wheelchair on the Internet. The website is offering 15% off orders over $250.
Mr. Weiss selects a battery charger originally priced at $179, but marked down 35%. He also selects a mount for
his tablet computer for $99. In order to receive the 15% off, Mr. Weiss adds a cell phone holder for $56. What is
the total cost of Mr. Weiss's order after the discounts?
Answer:
$230.65
Step-by-step explanation:
$179 marked down by 35 % = $116.35
computer mount= $99
cell holder= $56
total= $271.35
marked down by 15% = $230.65 (230.6475)
Find the slope given the table of values
Answer:
slope=4
Step-by-step explanation:
[tex]m=\frac{change(y)}{change(x)}[/tex]
[tex]m=\frac{-8-(-4)}{-5-(-4)}[/tex]
[tex]m=\frac{-4}{-1}[/tex]
[tex]m=4[/tex]
Taylor is building doghouses to sell. Each doghouse requires 3 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 14 full sheets. How many doghouses can Taylor make from 12 bundles of plywood?
Answer:
Step-by-step explanation:
taylor is building doghouses to sell. each doghouse requires 3 full sheets of plywood which taylor cuts into new shapes. the plywood is shipped in bundles of 14 full sheets. how many doghouses can taylor make from 12 bundles of plywood?
write a pair of integers whose a)sum-1 b)diffrence is -5
please give the answer only last question in my test
Answer:
x = -3
y = 2
Step-by-step explanation:
Let the two integers be x and y
sum is -1
x + y = -1 •••(i)
x-y = -5 •••••(ii)
From ii, x = -5 + y
substitute into i
-5 + y+ y = -1
-5 + 2y = -1
2y = -1 + 5
2y = 4
y = 4/2
y = 2
Recall;
x = -5 + y
x = -5 + 2
x = -3
Write the point-slope form of the equation of the line through the given points,
3) through: (3, ) and (0,4)
4) through: (0.-1) and (2,5)
Please no downloads!!
Answer:
The equation of a line in point-slope form is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣aay−y1=m(x−x1)aa∣∣−−−−−−−−−−−−−−−−−−−−−−
where m represents the slope and (x1,y1) a point on the line.
To calculate the slope use the gradient formula
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣∣aam=y2−y1x2−x1aa∣∣∣−−−−−−−−−−−−−−−−−
where (x1,y1) and (x2,y2) are 2 coordinate points.
here the 2 points are (-3 ,4) and (0 ,3)
let (x1,y1)=(−3,4) and (x2,y2)=(0,3)
⇒m=3−40+3
Step-by-step explanation:
this is guid to answer that hope it help to you mahar
For all values of x f(x)
Answer:
f(g(5)) = 64
g(f(5)) = 28
Step-by-step explanation:
Given that f(x) = x^2 and g(x) = x+3
f(g(x) = f(x+3)
f(x+3) = (x+3)^2
f(g(x)) = (x+3)^2
f(g(5)) = (5+3)^2
f(g(5)) = 8^2
f(g(5)) = 64
b) g(f(x)) = g(x^2)
g(f(x)) = x^2 + 3
g(f(5)) = 5^2 +3
g(f(5)) = 25 + 3
g(f(5)) = 28
Hence the value of g(f(5)) is 28
I need help correct answer will get brainliest.
Answer:
2.85125 is the answer.
Step-by-step explanation:
according to the calculator
Answer:
2.75124851367
Step-by-step explanation:
8/8.41=951248513674+1.8=2.75124851367 so its 2.75124851367
Which expression is not equal to 28? A. ( 9 + 25 ÷ 5 ) × 2 B ( 13 − 4 × 2 ) − 1 ] × 7
C. 42 ÷ 6 + 28 ÷ 4 D. 7 × [ 8 − ( 12 − 4 × 2 ) ]
Answer:
the answer is C
Step-by-step explanation:
A coat costs $135 In a sale it is reduced by 15%. How much money is it reduced by? (Show your working)
Answer:
24
Step-by-step explanation:
A= ( 1 - r/100 ) P
135= (1 - 15/100 ) P
135= 0.85P
135/0.85= P
159= P
159- 135 = 24
Pls give some tips!
Im going to take my alg 1 EOC today, and im like freaking out. Can someone who already did it give me some tips on what to expect and how to answer some questions? it would be really helpful.
I took it last week and it was so hard. There's all kinds of everything in their from day 1 so you might not even remember that stuff. ( I didn't )
and there's this part where you can't use a calculator ugh.
and I was forced to write stuff on my paper to show my work but I don't know anything.
i have 69 in there bro and i only have 6 more days till school's over.
goodluck bro
Step-by-step explanation:
no need to get nervous......
Two friends Ana and Juan are buying books by joining the History Book
Club.
Ana has to pay a yearly fee of $15 to join. She spends a total of $525 for 30
books. How much was the price per book on average?
Juan has to pay a yearly fee of $10 to join. He spends a total of $350 for 23
books. How much was the price per book on average?
Write a function for Ana and Juan each to model the scenario to figure out
the total cost per book. Who has the better deal? Ana or Juan? Why?
Answer:
Ana spent $17 per book on average.
Juan spent $14.78 per book on average.
y = $15 + 17x--------- equation 1
y= $10 + 14.78 x------------- equation 2
Step-by-step explanation:
Ana has to pay a yearly fee of $15 to join.
She spends a total of $525 for 30 books.
The amount spent on books = Total amount - yearly fee
= $525- $15= $510
Price per book on the average = $510/30= $ 17
Ana spent $17 per book on average.
Juan has to pay a yearly fee of $10 to join.
He spends a total of $350 for 23 books.
The amount spent on books = Total amount - yearly fee
= $350- $10= $340
Price per book on the average = $340/23= $ 14.78≅ $15
Juan spent $14.78 per book on average.
The function can be established if y gives the total cost and x gives the number of books
y = $15 + 17x--------- equation 1
y= $10 + 14.78 x------------- equation 2
Juan has a better deal because the yearly fee is less also the price per book is less.
Use the following situation for the next few questions:
At Elsa's auto shop, it takes her 12 minutes to do an oil
change and 15 minutes to do a tire change. Let x be the
number of oil changes she does. Let y be the number of tire
changes she does. We are wondering what combinations of
the two tasks she can complete in 60 minutes or less.
1-If Elsa were to only do oil changes, no tire changes, how
many could she do in 60 minutes or less?
Answer:
5 oil changes.
Step-by-step explanation:
60 = 12x + 15y
60 = 12x + 15(0)
60 = 12x + 0
60
---- = x
12
5 = x
what percent of 4$ is 60 cents
no links
Answer:
15%
Step-by-step explanation:
You kind of have two ways to do this:
Way 1:
Find how many 60 cents fit into $4. To do that, divide $4 by $0.60 or 400 by 60. You get 6.66666667.
You can divide 100 by 6.66666667, and get 15%,
Way 2:
Knowing that 400 cents is 100%, you can divide 60 by the same number that you divide 400 by to get to 100. To get from 400 to 100, you divide by 4, so divide 60 by 4 and get the same answer, 15%
Hope that helps :)
The circumference of a circle is 28. Contained in that circle is a smaller circle with area 36π. A point is selected at random from inside the large circle. What is the probability the point also lies in the smaller circle?
Answer:
[tex]Pr = \frac{9}{49}[/tex]
Step-by-step explanation:
Given
[tex]d = 28[/tex] --- big circle
[tex]A_2 = 36 \pi[/tex] --- area of small circle
Required
Probability that a point selected lands on the small circle
Calculate the area of the big circle using;
[tex]A_1 = \pi r^2[/tex]
Where
[tex]r = d/2[/tex]
So, we have:
[tex]r = 28/2 = 14[/tex]
This gives:
[tex]A_1 = \pi * 14^2[/tex]
[tex]A_1 = \pi * 196[/tex]
[tex]A_1 = 196\pi[/tex]
The probability that a point selected lands on the small circle is calculated by dividing the area of the small cicle by the big circle
This gives:
[tex]Pr = \frac{36\pi}{196\pi}[/tex]
[tex]Pr = \frac{36}{196}[/tex]
Simplify
[tex]Pr = \frac{9}{49}[/tex]
Solve for X
can you explain how to do this problem I'm not sure where to start. would really Appreciate it
Answer:
x = 48
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
156° is an exterior angle of the triangle, then
108 + x = 156 ( subtract 108 from both sides )
x = 48
Two people together can do a certain job in twenty minutes.If one of them can do the job alone in forty-five minutes, how long will the other person take to do the job alone?
36 minutes
Step-by-step explanation:
Going through the question in bits:
i. Two people together can do a certain job in 20 minutes.
This implies that the time taken to finish the job is 20 minutes.
This also means that in 1 minute, they will do [tex]\frac{1}{20}[/tex] of the job i.e the rate at which the job is done by the two of them is [tex]\frac{1}{20}[/tex]
ii. If one of them can do the job in 45 minutes.
This implies that the time taken by one of them to finish the job is 45 minutes.
This also means that in 1 minute, he will do [tex]\frac{1}{45}[/tex] of the job. i.e the rate at which the job is done by one of them is [tex]\frac{1}{45}[/tex]
iii. let the other person do the job in x minutes.
This implies that the time take by the other person to finish the job is x minutes.
This also means that in 1 minute, he will do [tex]\frac{1}{x}[/tex] of the job. i.e the rate at which the job is done by the other person is [tex]\frac{1}{x}[/tex]
Now,
The rate by which the job will be done by the two of them combined is the sum of the individual rates.
i.e
[tex]\frac{1}{20}[/tex] = [tex]\frac{1}{45}[/tex] + [tex]\frac{1}{x}[/tex]
Multiply through by 90x and solve
(90x * [tex]\frac{1}{20}[/tex]) = (90x * [tex]\frac{1}{45}[/tex]) + (90x * [tex]\frac{1}{x}[/tex])
4.5x = 2x + 90
4.5x - 2x = 90
2.5x = 90
x = [tex]\frac{90}{2.5}[/tex]
x = 36
Therefore it will take the other person 36 minutes to finish the job.
What is the standard form of 5.58 x 10-2?
Answer:
44.64
Step-by-step explanation:
you do the 10 - 2 in parenthesis then you multiply 5.58 by 8 which is what the 10 - 2 would be and boom you have your answer
can someone help me please
9514 1404 393
Answer:
330 miles
Step-by-step explanation:
The distance formula can be used to find the number of grid units between points.
d = √((x2 -x1)^2 +(y2 -y1)^2)
AC = √((-2-11)^2 +(6-(-2))^2) = √((-13)^2 +8^2) = √(169+64) = √233 ≈ 15.264
CD = √((-8-(-2))^2 +(9-6)^2) = √((-6)^2 +3^2) = √(36 +9) = √45 ≈ 6.708
Then the total distance in miles is ...
(15.264 units +6.708 unit)(15 miles/unit) ≈ 329.59 miles
Rounded to the nearest mile, the distance is 330 air miles.
Josh wrote 483 out of an expected 500 words from his essay. How would this ratio be
expressed in decimal form?
Answer:
0.966
Step-by-step explanation:
483:500 = 0.966
i hope this is right x
The required ratio would be 0.966 which is expressed in decimal form.
What is the Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Josh wrote 483 out of an expected 500 words from his essay which is given in the question.
According to the given information, the ratio would be written as:
⇒ 483 : 500
⇒ 483 / 500
Apply the division operation, and we get
⇒ 0.966
Therefore, the required ratio would be 0.966 which is expressed in decimal form.
Learn more about the Ratios here:
brainly.com/question/1504221
#SPJ2
if quick i will give brainlyist
Sandra files folders for her job. According to the graph, how many minutes will it take her to file 100 folders?
A. 10
B. 80
C. 90
D. 100
Answer:
A its 10
Step-by-step explanation:
What is the perimeter of a rectangle whose vertices are (2,7) (8,7) (211) (8,11)?
A) 24
b) 12
c)32
d) 40
e) 20
Answer:
e) 20
Step-by-step explanation:
Segment lengths:
|(2, 7) -> (8, 7)| = |(8-2, 7-7)| = |(6, 0)| = 6
|(8, 7) -? (8, 11)| = |(8-8, 11-7)| = |(0, 4)| = 4
because we know it's a rectangle, we can infer that the other two sides also have lengths 4 and 6, so the perimeter is 4+4+6+6=20
Please help!!!! No links please
Answer:
I think its 900 square feet
Step-by-step explanation:
SA formula for triangular prism
SA=p×H+2B
p is perimeter
h is height
B is area of the base (Base times height)
perimeter is 9+12+15 which is 36
height is 20
area of one of the base is 108
now plug it in and calculate
36×20+2(108)
this is 936
you round down to 900 obviously
and there you go
Please help me with this
Answer:
216in
Step-by-step explanation:
6 + 8 + 10 = 24
24 * 9 = 216